The probability that daily production is between 28 and 45.9 liters is 0.024.
What is standard deviation?Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.
Given that, x₁=28, x₂=45.9, μ=38 and σ =4.3
We know that, Z=(x-μ)/σ
Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample
z =(38-28)/4.3= 2.32 and probability on the z-table is 0.9896
z = (38-45.9)/4.3 = -1.83 and probability on the z-table is 0.9656,
Now, P(2.32<z<-1.83) = 0.9896-0.9656
= 0.024
Therefore, the probability that daily production is between 28 and 45.9 liters is 0.024.
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Show that if f is analytic in a domain D and |f(z)|| is constant in D, then the function f(z) is constant in D
Because f is analytic variable in D, it is differentiable, and every place in D has a zero derivative. Therefore, f in D must be constant.
A function f must be differentiable in the domain D if it is analytic there. The derivative of f must therefore exist and be continuous in D. The derivative of f must be zero everywhere in D if the absolute value of f, |f(z)|, is constant in D since the derivative of an absolute value of a function is always zero. As a result, f must be constant in D since the derivative of f is zero everywhere in D. Due to the fact that the derivative of |f(z)| is always zero, this holds true regardless of the value of |f(z)|. As a result, the function f(z) is constant in the domain D if f is analytical in D and |f(z)| is constant in D.
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Dustin is doing laps around a track. Dustin can run 2 miles per hour faster than he can walk around the track. If Dustin walks around the track in 20 minutes and runs around the track in 15 minutes, at what rate is Dustin walking?
Dustin walk at the rate of 6 miles per hour.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Dustin can run 2 miles per hour faster than he can walk around the track. If Dustin walks around the track in 20 minutes and runs around the track in 15 minutes.
Let the speed of Dustin walking = x
We know that;
Speed = Distance / Time
For walking;
Speed = Distance / Time
x = Distance / (20/60)
x × 20/60 = Distance
Distance = x/3 miles
For run;
Speed = Distance / Time
⇒ x + 2 = (x/3) / (15/60)
⇒ 3 (x + 2) = 4x
⇒ 3x + 6 = 4x
⇒ 4x - 3x = 6
⇒ x = 6
Thus, Dustin walk at the rate of 6 miles per hour.
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Find the zeros of the quadratic equation y=4(x+9)²-36
The zeros of the quadratic equation y=4(x+9)²-36 are -6 and -12.
What is a quadratic equation?
Any equation of the form ax² + bx + c = 0where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
Given:
y=4(x+9)²-36
on solving the bracket ,we get
y = 4x² + 324 + 72x - 36
or
y = 4x² + 72x + 288
or
y = 4(x² + 18x + 72)
or
y = 4(x² + 12x + 6x + 72)
or
y = 4(x(x+12)+6(x+12))
or
y = 4(x+6)(x+12)
Therefore , zeroes are -6 and -12.
Hence , the zeros of the quadratic equation y=4(x+9)²-36 are -6 and -12.
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Match each expression on the left with an equivalent expression on the right
Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary. cos θ = ? A = 22 H = 38
Answer: To find the angle θ in a right triangle given the cosine value, we can use the inverse cosine function, also known as arccos.
cos θ = A/H = 22/38
θ = arccos (22/38)
Using a table of trigonometric values or a calculator, we can find the value of arccos (22/38) to be approximately 56.3 degrees.
So, θ = 56.3° (rounded to the nearest degree).
Step-by-step explanation:
The meal cost $89.25. If tax is 6% and tip is 15%, what is the total cost?
Answer:
$108
Step-by-step explanation:
The tax amount is $89.25 x 6% = $5.35.
The tip amount is $89.25 x 15% = $13.39.
So the total cost is $89.25 + $5.35 + $13.39 = $108.
Which of the following is the amount of revenue reported on the income statement of a retail company?
The cash collected from customers during the current period.
Both cash and credit sales for the period.
Cash sales for the period and collections from customers.
Cash sales and stockholders' investments.
Both cash and credit sales for the period are reported on the income statement of a retail company. So the correct statement is option (b) Both cash and credit sales for the period.
What is income statement?An income statement shows the income, expenses, and profitability of a company for a specified period. It is also sometimes referred to as the Income Statement (P&L) or Income Statement. it shows you:
Revenue from sales of products or services.
What does income statement tell you?An income statement shows how much revenue a company has generated, what expenses it has spent, and what income it has allocated over a period of time. You can use it to understand your company's business model and understand how your company is competitive within your industry.
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A floor plan was drawn using the following scale:
1 inch: 2 1/2 feet
One wall of the house was represented by a line 6 1/2
inches long on the floor plan. Which proportion could be used to find the length of the actual wall, in feet? pls help me hurry than k u
Select one:
a. 2/5=13/2x
b. 2/5=13x/2
c. 5/2=13/2x
d. 5/2=13x/2
The proportion could be used to find the length of the actual wall, in feet is 2/5=13x/2, the correct option is B
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given;
1 inch: 2 1/2 feet
One wall of the house was represented by a line 6 1/2 inches long on the floor plan.
Now,
6 1/2 inches= 13/2inch
1 inch: 2 1/2 feet=5/2feet
13/2inch=13/2 * 5/2
=65/4
b. 2/5=13x/2
Therefore, according to the given proportion the answer will be 2/5=13x/2.
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Suppose that mean retail price per gallon of regular grade gasoline 83.55 with standard deviation of 80.10 and that the retail price per gallon has bell-shaped distribution. NOTE: Please use empirical rule approximations for this problem_ What percentage of regular grade gasoline sells for between 83.35 and 83.75 per gallon (to decimal)? 95 What percentage of regular grade gasoline sells for between $3.35 and 83.65 per gallon (to decimal)? c: What percentage of regular grade gasoline sells for ess than 83.75 per gallon (to decimal)?
The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Describe Standard Deviation?It is a statistical calculation that provides a way of summarizing how much a set of values deviates from the mean, or average, of those values.
The standard deviation is calculated by first finding the difference between each value in the set and the mean, squaring these differences, summing the squares, and dividing by the number of values in the set. The square root of this result gives the standard deviation.
A low standard deviation indicates that the values in a set are closely clustered around the mean, while a high standard deviation indicates that the values are more spread out. The standard deviation is useful in many applications, including quality control, finance, and social sciences, as it provides a way to quantify the variability of a set of values and to make meaningful comparisons between different sets of data.
We can estimate the answer by using the cumulative distribution function (CDF) of the normal distribution. The CDF gives us the probability that a random variable is less than or equal to a certain value. We would need to use a calculator or software to determine the exact value of the CDF, but we can estimate it using the empirical rule.
Since approximately 68% of regular grade gasoline falls within one standard deviation of the mean, we can estimate that roughly 68% of gasoline is less than 83.75.
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A, B, and C take turns flipping a coin. The first one to get a head wins. The sample space of this experiment can be defined by S= 1,01,001,0001, ..., 0000... (a) Interpret the sample space. (b) Define the following events in terms of S: (i) A wins = A. (ii) B wins = B. (iii) (A U B). Assume that A flips first, then B, then C, then A, and so on.
a) Strings of probability 0s and 1s, which reflect the results of the coin flips, make up the sample space, S.
In (b), I A wins equals (1, 01, 001, 0001), (ii) B wins equals (0, 10, 010, 0010), and (iii) (A U B) equals (1, 0, 01, 10, 001, 010, etc.).
(a) Strings of 0s and 1s, which reflect the results of the coin flips, make up the sample space, S. Each 0 denotes a tail, while each 1 denotes a head. Since there is no restriction on the number of coin flips that can take place, the sample space is unlimited. Due to the fact that every result can be expressed as a string of 0s and 1s, it is also a finite collection. (b) I A wins means that A flipped a head before B or C, and the results are 1, 01, 001, 0001, etc. (ii) B wins = 0 (zero), 10 (one), 010 (zero), 0010 (zero), etc., indicating that B flipped a head before A or C. (iii) (A U B) = 1, 0, 01, 10, 001, 010, etc., indicating that either A or B turned over a coin before C. Presumably, A flips first, followed by B, C, then A, and so on.
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i need help with test statistic and p value
The p=value of this sample is p = 0.076
What is meant by p-value?You should understand that the p value is a number, calculated from a statistical test, that describes how likely you are to have found a particular set of observations if the null hypothesis were true.
P values are used in hypothesis testing to help decide whether to reject the null hypothesis. The smaller the p value, the more likely you are to reject the null hypothesis.
This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 73.8
For the alternative hypothesis,
µ ≠ 73.8
Since the number of samples is small and no population standard deviation is given, the distribution is a student's true
Since n = 59,
Degrees of freedom, df = n - 1 = 59 - 1 = 58
t = (x - µ)/(s/√n)
Where
x = sample mean = 76.6
µ = population mean = 73.8
s = samples standard deviation = 8.6
t = (76.6 - 73.8)/(8.6/√58) = 2.8/1.13= 2.4779
We would determine the p-value using the t-test calculator. It becomes
p = 2.4779
Since alpha, 0.01 < than the p-value, 2.4779, then we would fail to reject the null hypothesis. Therefore, At a 1 % level of significance, the sample data showed that there is no significant evidence that μ ≠ 73.8
Therefore, this p-value leads to a decision to accept the null hypothesis
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What are the benefits and limitations of quadratic models in real-world applications such as bridge design?
The benefits and limitations of quadratic models in real-world applications such as bridge design are listed below.
What are the benefits and limitations of quadratic models in real-world applications such as bridge design?Quadratic models are often used in real-world applications, such as bridge design, because of their ability to describe complex relationships between variables.
Some benefits of using quadratic models in these applications include:
1. Flexibility: Quadratic models are more flexible than linear models and can better capture non-linear relationships between variables.
2. Accuracy: Quadratic models can provide a more accurate representation of the data compared to linear models, especially when the data exhibits a curved trend.
3. Prediction: Quadratic models can be used to make predictions about the future based on past data. For example, they can be used to predict the load-bearing capacity of a bridge over time.
However, there are also some limitations of using quadratic models in real-world applications such as bridge design:
1. Overfitting: Quadratic models have the potential to overfit the data, leading to poor generalization to new data. This can result in an overly complex model that does not accurately represent the underlying relationships in the data.
2. Computational complexity: Quadratic models can be computationally more complex than linear models and require more advanced optimization techniques to solve.
3. Interpretation: Quadratic models can be difficult to interpret, making it challenging to understand the underlying relationships between variables.
4. Unpredictable behavior: Quadratic models can exhibit unpredictable behavior for certain input values, which may not be suitable for certain applications such as bridge design where the model must be reliable and predictable.
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PLEASE PLEASE HELP Solve and explain the method you chose to use (distributive property, FOIL, multiplying special cases): (c+3)^2
After solving (c+3)², the procedure is an illustration of the distributive property of equations, and c = -3.
What is equations?Perhaps the most basic form has just been assumed to represent the fraction with the least process. How or when to decide mostly on fundamental form. Look for components that are present in both the denominator and the numerator. Sometimes it is possible to determine if a fractional integer is a power of two.
A algebraic theorem is a statement with two equal sides and an equal sign in the center. The degrees earned by each variable are stated in descending order, similar to an equation's general form. A linear equation has the formula x + b = 0. A three distinct linear function has the general form x + b y + c = 0. (or something similar). Mathematics can be categorized as identities or conditioned equations.
given:
[tex]( c+ 3 ) ^ 2[/tex]
= by using formulas of [tex]( a+ b ) ^2[/tex]
by distributive property
[tex]c^2 + 3^2 + 6c[/tex]
[tex]= c^2 + 9 + 6c[/tex]
[tex]c^2 + 3c + 3c + 9 = 0[/tex]
= (c + 3 )(c+ 3)
c = -3
After solving (c+3)², the procedure is an illustration of the distributive property of equations, and c = -3.
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If a translation of T-3, -8(x, y) is applied to square
ABCD, what is the y-coordinate of B'?
O-12
O
8
O-6
O-2
If a translation is applied to square ABCD, the y-coordinate of B' = y_coordinate of B - 8 = -8.
What is the translation?
The translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.
When a translation of T-3, -8 is applied to square ABCD, it means that each point in the square is moved 3 units to the left and 8 units down.
The y-coordinate of B is found by moving 8 units down from the original y-coordinate of B.
Therefore, If a translation is applied to square ABCD, the y-coordinate of B' = y_coordinate of B - 8 = -8.
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Graph the equation −3x+5y=7 by plotting points using the line tool.
A graph of the linear equation -3x + 5y = 7 in slope-intercept form is shown in the image attached below.
What is a graph?In Mathematics, a graph is a type of chart that is typically used for the graphical representation of data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate respectively.
Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:
-3x + 5y = 7
5y = 3x + 7
y = 3x/5 + 7/5
Lastly, we would use an online graphing calculator to plot the given function as shown in the graph attached below.
In conclusion, the slope of this linear equation is equal to 3/5 and it does not represent a proportional relationship.
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out of 200 bolts, 5 are defective. determine the probability that a randomly selected sample (without replacement) of size 10 will have no defective bolts. compare the results for hypergeometric distribution and its binomial approximation
The Hypergeometric distribution is 0.7717, and the binomial distribution is 0.7763. The probability from the binomial approximation is greater than the probability from hypergeometric distribution.
What is Hypergeometric distribution?In statistics, a hypergeometric distribution is a distribution function in which members of two groups are chosen from without being replaced. The absence of replacements in the hypergeometric distribution sets it apart from the binomial distribution. As a result, it is frequently used in random sampling to ensure statistical quality.
Given that,
The number of defective bolts are 5 out of 200.
Thus, the probability of 0 defective bolts is given as:
1. Hypergeometric distribution:
P (X= 0) = 5C 0 (195C 10) / (200C 10)
= 0.7717
2. Binomial approximation:
B(n, m/ N)
P (X= 0) = 10C 0 (0.025)^0 (1-0.025)^10
= 0.7763
Thus, probability from the binomial approximation is greater than the probability from hypergeometric distribution.
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Find the center of the mass of a thin plate of constant density covering the region bounded by the x-axis and the curve y=3cosx, -pi/3 <= x <= pi/3
The y-coordinate of center of mass is 1.2819 kg.
Describe Center of mass?The center of mass, also known as the center of gravity, is a point in a system of objects where the total mass of the objects is concentrated. It represents the balance point of the system and is the point at which the system would balance if it were suspended from that point. The position of the center of mass is dependent on the distribution of mass in the objects making up the system.
The centre of mass of region R is given by
[tex]$\mathrm{\bar{y}=\frac{\int_{R}\rho y_{e}dA}{Mass_{regionR}} \ \ where \ y_{e} \ center \ of \ mass \ of \ element}[/tex]
For the vertical element,
[tex]\mathrm{y_{e}=\dfrac{y}{2}}[/tex]
Find the numerator of the y coordinate of Center of Mass
[tex]$\mathrm{\frac{1}{2}\int_{R}\rho yydx=\frac{\rho}{2} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} (3cosx)^2dx=\frac{9\rho}{2} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} cos^2xdx=\frac{9\rho}{2} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} (\frac{1+cos(2x)}{2})dx}[/tex]
[tex]$\mathrn{\frac{9\rho}{4} \int_{\frac{-\pi}{3}}^{\frac{\pi}{3}} (1+cos(2x))dx=\frac{9\rho}{4} [x+\frac{sin(2x)}{2}]_{\frac{-\pi}{3}}^{\frac{\pi}{3}}}[/tex]
[tex]$\mathrm{\frac{9\rho}{4} \left[\frac{\pi}{3}+\frac{sin(2(\frac{\pi}{3}))}{2}\right ]-\frac{9\rho}{4} \left[\frac{-\pi}{3}+\frac{sin(2(\frac{-\pi}{3}))}{2}\right ]}[/tex]
[tex]$\mathrn{\frac{9\rho}{4} \left[\frac{\pi}{3}+\frac{\sqrt{3}}{4}\right ]-\frac{9\rho}{4} \left[\frac{-\pi}{3}-\frac{\sqrt{3}}{4}\right ]=\frac{9\rho }{4} \left[\frac{2\pi}{3}+\frac{\sqrt{3}}{2}\right ]}[/tex]
Therefore, the y-coordinate of center of mass is
[tex]$\mathrm{\bar{y}=\frac{\dfrac{9\rho }{4}\left [\dfrac{2\pi}{3}+\dfrac{\sqrt{3}}{2}\right ]}{3\rho \sqrt{3}}=\frac{\sqrt{3}}{4}\left [\frac{2\pi}{3}+\frac{\sqrt{3}}{2}\right ]=\frac{3}{8}+\frac{\sqrt{3}\pi}{6}=1.2819}[/tex]
Thus, The y-coordinate of center of mass is 1.2819 kg
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The center of mass of a thin plate of constant density is determined by its area and the distribution of its mass.
How will you find the center of the mass?To find the center of mass of this plate, we first need to calculate its area. We can do this by using the formula for the area of a region bounded by the x-axis and a curve y=f(x):
A = ∫[tex]a^{b}[/tex] ydx = ∫-pi/3^pi/3 3cosx dx
A = 3∫-pi/3^pi/3cosx dx
A = 3(sin(pi/3) - sin(-pi/3))
A = 3(sin(pi/3) + sin(pi/3))
A = 6sin(pi/3)
A = 6*(1/2)
A = 3
Now that we know the area of the plate, we can calculate its center of mass. To do this, we need to use the formula for the center of mass of a region bounded by the x-axis and a curve y=f(x):
xcm = 1/A ∫[tex]a^{b}[/tex] xydx
xcm = 1/3 ∫-pi/3^pi/3 x(3cosx) dx
xcm = 1/3 ∫-pi/3^pi/3 3xcosx dx
xcm = 1/3(3(sin(pi/3) - sin(-pi/3)) - 3xsin(pi/3) + 3xsin(-pi/3))
xcm = 1/3(6sin(pi/3) - 3pi/3sin(pi/3) + 3(-pi/3)sin(-pi/3))
xcm = 1/3(6sin(pi/3) - 3pi/3sin(pi/3) + 3pi/3sin(pi/3))
xcm = 0
Therefore, the center of mass of the plate is located at (0, 0).
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Suppose you’re exchanging money from one form of currency to another, where $1.00 in currency A equals $1.70 in currency B.
The actual value of $10 in currency A would be of $1.7 in currency B.
$17.
How to obtain the actual value?The actual value is obtained applying the proportions in the context of this problem.
The exchange rate is given as follows:
$1 in currency A - $1.7 in currency B.
Hence the value in currency B of $10 in currency A is obtained as follows:
1.7 x 10 = $17.
Missing Information.The problem asks for the value in currency B of $10 in currency A.
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95 is 85% of what number?
Answer:
111.76
Step-by-step explanation:
My attempt:
To find the number that 95 is 85% of, we can set up an equation using the information given. Let's call this number "x".
According to the problem, 95 is 85% of x, so we can write this as an equation:
95 = 0.85x
Now we can solve for x by dividing both sides by 0.85:
x = 111.76
So 95 is 85% of 111.76.
Answer:
111.76
Step-by-step explanation:
1.We have, 85% × x = 95 or, 85 100 × x = 95
2. Multiplying both sides by 100 and dividing both sides by 85,
we have x = 95 × 100/85
x = 111.76
The distance s that an object falls is directly proportional to the square of the time t of the fall. If an object falls 16 feet in
second, how far will fall in 3 seconds? How long will it take an object to fall 400 feet?
Answer:
144 feet
5 seconds
Step-by-step explanation:
A directly proportional distance between s and t can be written as
s ∝ t²
or in equation form
s(t) = k · t²
k = constant of proportionality
Given s = 16 feet for t = 1 second we get
16 = k (1)²
or
k = 16
and the equation is s(t) = 16t²
In 3 seconds the object will fall
s(3) = 16 (3)²
= 16 x 9
= 144
s(3) = 144
To find time taken to fall 400 feet, substitute for s s(t) = 400
400 = 16t²
16t² = 400
t² = 400/16 = 25
t = ± √25 = ± 5 seconds
Since time is non-negatiive,
t = 5 seconds
A bus company is replacing all the old seats in its buses with new ones. The company owns 13 buses and each bus has 28 seats. It costs $89.40 to purchase
each new seat, as well as an additional $31.70 to install each new seat. What is the total cost the company will pay?
Answer:
$44.236.20
Step-by-step explanation:
First, we need to calculate the cost of purchasing new seats for all the buses. The company has 13 buses and each bus has 28 seats, so the total number of seats to be replaced is 13 * 28 = 364 seats. The cost of purchasing each seat is $89.40, so the total cost of purchasing new seats for all the buses is 364 * $89.40 = $32,610.40.
Next, we need to calculate the cost of installing new seats for all the buses. The cost of installing each seat is $31.70, so the total cost of installing new seats for all the buses is 364 * $31.70 = $11,625.80.
Finally, we need to add the cost of purchasing and installing new seats to get the total cost the company will pay. The total cost of purchasing new seats is $32,610.40 and the total cost of installing new seats is $11,625.80, so the total cost the company will pay is $32,610.40 + $11,625.80 = $44,236.20.
if , then abc and def are congruent by the asa criterion
If C.)Angle B is congruent to angle E then ∆ABC and ∆DEF are congruent by the ASA criterion.
What is Congruence?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
According to the ASA congruence postulate, two triangles are congruent when two angles and the included side of one triangle are congruent with two angles and the included side of another triangle.
Looking at our diagram, we can see that the angle C and side CB of ABC are, respectively, congruent with the angle F and side FE of DEF.
Since CB is a side of ABC between angles C and B and FE is a side of DEF between angles F and E, angle B must be equal to angle E for these two triangles to be congruent by ASA.
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1. If , _____ then ∆ABC and ∆DEF are congruent by the ASA criterion.
A.) AB=DE
B.)CA=FD
C.)Angle B is congruent to angle E
D.)Angle A is congruent to angle D
As shown above, a classic deck of cards is made up of 52 cards. Suppose ne card is selected at random and
calculate the following probabilities.
Round solutions to three decimal places, if necessary.
The probability that a 8 of Diamonds is selected is
The probability that a Heart or Spade is selected is
The probability that a number smaller than 7 (counting the ace as a 1) is selected is
Step-by-step explanation:
a probability is always the ratio of
desired cases / totally possible cases
in our case, where we pull one card out of 52, the totally possible cases are, of course, 52.
now, we need to find the number of desired cases.
8 of diamonds is pulled.
well, that is one specific card. no other card matches this criteria. so, the probability is
1/52 = 0.019230769... ≈ 0.019
heart or spade is selected.
we have 13 cards of heart.
we have 13 cards of spades.
there is no overlap, so, together they are 26.
the probably is then
26/52 = 1/2 = 0.5
number smaller than 7 is pulled.
"smaller than 7" means 1..6.
that means 6 cards of each of the 4 suits = 24 cards.
the probability is then
24/52 = 6/13 = 0.461538462... ≈ 0.462
Can you help me to see what the length of the third side is ?
for a sample of categorical data, the____for a given category is the number of sample items in that category divided by the sample size.
The relative frequency or proportion of a given category is the number of sample items in that category divided by the total sample size.
The relative frequency or proportion of a given category is a measure of how often that category appears in a sample of categorical data. It is calculated by dividing the number of sample items in that category by the total sample size. For example, if a sample contains 10 items and three of them are in category A, then the relative frequency for category A is 3/10 or 0.3. This indicates that 30% of the sample items are in category A. Relative frequencies are used to compare categories within a sample, as well as to compare samples of different sizes. This allows us to draw conclusions about the frequency of occurrence of different categories within a population.
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1) Which math component are taught in the curriculum, problem solving, procedural fluency, missed mathematical concepts, etc.?
2) What are some specific types of mathematical instruction that are promoted?
3) Are there any specific procedures used to teach basic mathematical instruction?
1) The Mathematical curriculum teaches a combination of mathematical concepts, problem solving.
2) Some mathematical instructions that are promoted include understanding of mathematical concepts, computational fluency.
3) Yes, there are specific procedures used to teach basic mathematical instruction.
The Mathematical curriculumThe Mathematical curriculum can be said to:
The math curriculum generally teaches a combination of mathematical concepts, problem solving, procedural fluency, and helps identify and rectify any missed mathematical concepts.Some specific types of mathematical instruction that are promoted include understanding of mathematical concepts, computational fluency, application of mathematical concepts to solve real-world problems, and use of technology to enhance learning.Yes, there are specific procedures used to teach basic mathematical instruction, such as direct instruction, discovery learning, problem-based learning, hands-on activities, use of manipulatives, and technology-assisted learning. Effective teachers also use formative assessments and provide feedback to guide instruction and monitor student progress.Learn more on mathematical curriculum here https://brainly.com/question/30353225
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Select all of the following equation(s) that are quadratic in form. x4 – 6x2 – 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 – 4x = 0
PLEASE HELP!!! I already graphed it but I need the solution. I'll give you brainlest:))))
The solution of the system of equations is equal to (3, 4).
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.
By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant II and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-coordinate (y-axis), which is given by this ordered pair (3, 4).
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11. Multiply (m² + 2m + 1) (m + 1). SHOW YOUR WORK
Answer:
[tex]m^3+3m^2+3m+1[/tex]
Step-by-step explanation:
[tex](m^2+2m+1)(m+1)=(m^2)(m)+(m^2)(1)+(2m)(m)+(2m)(1)+(1)(m)+(1)(1)=m^3+m^2+2m^2+2m+1m+1=m^3+3m^2+3m+1[/tex]
You could also use the binomial theorem because the expression is equivalent to [tex](m+1)^3[/tex] but either method works.
A data set on SharkAttacks Worldwide posted on StatCranch rocords data on all shark attacks in recorded history including attacks before 1800 . Variables contained in the data indude time of attack, date, location, activily the victim was engaged in when attacked, whether or not the injury was fatal, and species of shark. Which of the following questions could not be answered using the data get? Solect al that apply A. Aracks by which species of thark are more likey ta cesult in a fatality? B. In what month do most shark attacks occur? C. Which count,itwas the most shark attacks per year? D. Are shark antacks more ikely to occur in warm temperature or cooler temperatures?