Answer:
21 bows
Step-by-step explanation:
Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.
Please help it’s urgent and need this done
Answer:
x² - x - 2
Step-by-step explanation:
Since the curve cuts the x-axis at x = -1 and 2. The factors will be x+1 and x-2
Taking the product of the factors
f(x) = (x+1)(x-2)
f(x) = x² - 2x + x - 2
f(x) = x² - x - 2
Hence the required function is x² - x - 2
the mathematical model y= 2/x is an example of what variation? Joint variation, inverse variation, indirect variation, linear variation, or direct variation?
Answer:
inverse variation
Step-by-step explanation:
Thiis is the model for inverse variation. As x increases, y decreases, and vice versa.
Typical example:; y = 5/x
I need help with this.
9514 1404 393
Answer:
$400
Step-by-step explanation:
The word "per" in math often means "divided by". To find price per square foot, find price divided by square feet.
$700,000/(1750 ft²) = $400 /ft²
The price per square foot of House 4 was $400.
A 300-lb gorilla climbs a tree to a height of 30 ft. Find the work done if the gorilla reaches that height in the following times.(a) 10 seconds w= _____ ft-lb (b) 5 seconds w= _____ ft-lb
Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:
[tex]W = Fd[/tex]
In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that [tex]F = 300, h = 30[/tex]
Thus
[tex]W = Fd = 300(30) = 9000[/tex]
The work done in both cases is of 9000 ft-lb, as the work is not a function of time.
some one plz help its algebra 1
I need help please I dont understand
Melinda has several children and frequently marvels at how different each child is from one another. Jacob, her oldest son, took his first steps at 17 months whereas Clyde, her youngest son, took his first steps at 10.5 months old. Compare the number of months it took Clyde to take his first steps to the number of months it took Jacob using absolute and relative change.
Answer:
Using absolute change, Clyde took 6.5 less months to take his first steps than Jacob.
Using relative change, it took Clyde 38.24% less time than Jacob to take his first steps.
Step-by-step explanation:
Absolute change:
A number, that is, the difference between two measures.
Jacob: 17 months
Clyde: 10.5 months.
17 - 10.5 = 6.5
Using absolute change, Clyde took 6.5 less months to take his first steps than Jacob.
Relative change:
Absolute change multiplied by 100% and divided by the reference value. So
6.5*100%/17 = 38.24%
Using relative change, it took Clyde 38.24% less time than Jacob to take his first steps.
State whether the data described below are discrete or continuous and explain why?
The distance between cities in a certain contry.
a. The data are discrete because the data can only take on specific values.
b. The data are discrete because the data can take on any value in an interval.
c. The data are continuous because the data can take on any value in an interval.
d. The data are continuous because the data can only take on specific values.
Answer:
c. The data are continuous because the data can take on any value in an interval.
Step-by-step explanation:
Discrete data are those which can take up only specific values. Discrete data values may include the number of children in a particular school, the number of visitors received per day. All this values are specific and cannot just take up any number one f values within an interval. Continous data on the other hand can take up any number of data values between an interval. Continous data types are usually height temperature, length(distance data). There can be infinite number of possible data within interval values.
Find the sine and the cosine of 30^degrees
Answer:
Step-by-step explanation:
sine 30° = opposite / hypotenuse = 4/8 = 1/2
cosine 30° = adjacent / hypotenuse = 4sqrt(3) / 8 = sqrt(3) / 2
Does anyone know the answer to this? Algebra 2
I have to find the answers to
Find cos 0
Find tan 0
Find csc 0
Find sec 0
Find cot 0
And what terminal of the angle falls in which quadrant? 1-4?
Answer:
Step-by-step explanation:
Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
If, sinθ = -[tex]\frac{1}{2}[/tex] and π < θ < [tex]\frac{3\pi }{2}[/tex]
Since, sinθ is negative, angle θ will be in IIIrd quadrant.
And the measure of angle θ will be (180° + 30°)
θ = 210°
It's necessary to remember that tangent and cotangent of angle θ in quadrant III are positive.
Therefore, cos(210°) = [tex]-\frac{\sqrt{3} }{2}[/tex]
tan(210°) = [tex]\frac{1}{\sqrt{3} }[/tex]
csc(210°) = [tex]-\frac{1}{2}[/tex]
sec(210°) = [tex]-\frac{2}{\sqrt{3} }[/tex]
cot(210°) = √3
HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!
Answer:
x = 22 degree
Step-by-step explanation:
40 + 5x + 30 = 180 degree (being linear pair)
5x + 70 = 180
5x = 180 - 70
x = 110/5
x = 22 degree
Which infinite geometric series diverges?
A. S= 4.2 + 3.57 + 3.0345 +...
B. S= 262 + 301.3 + 346.5 +...
C. S= 6,651 + 729 -- 81 -- ...
D. S = 100 + 50 + 25 +...
Answer:
I thikn the answer is B
Step-by-step explanation:
For a geometric series to diverge the absolute value of the common ratio has to be 1 or greater
which of the following steps were applied to ABCD to obtain A' B'C'D'
Answer:
Thus, The steps applied to ABCD to obtain A'B'C'D' is shifted x coordinate 2 units to right and y coordinate 3 units down
QUESTION 1
The adult dosage of a medication is 15 mg** per day.
1. What is the pediatric dosage of that same medication for a child weighing 52 pounds? Refer to the formula below:
(Child weight divided by 150 lbs.) x Adult Dose = Pediatric Dosage
2. Explain in a well-written paragraph
Answer:
Step-by-step explanation:
Given that the adult dosage = 15 mg/day.
1. The pediatric dosage for a child weighing 52 pounds can be determined by;
Pediatric Dosage = (Child weight divided by 150 lbs.) x Adult Dose
= [tex]\frac{52}{150}[/tex] x 15 mg/day
= 5.2 mg/day
The pediatric dosage of the medication for a child weighing 52 pounds is 5.2 mg per day.
2. The medication can be consume by either an adult or a pediatric at a measured quantity. If an adult takes 15 mg of the medication per day, then any child whose weight is 52 pounds can take a maximum quantity of 5.2 mg of the medication per day. This implies that a child of the measured weight should not take more than 5.2 mg of the medication per day, and probably not at once.
The dosage of the medication for a pediatric can be determined by;
Pediatric Dosage = (Child weight divided by 150 lbs.) x Adult Dose
That is, once the weight of a child is determined, the dosage can be calculated.
Phân biệt chi phí sản xuất và giá thành sản phẩm?
Answer:
* Giống nhau: đều là biểu hiện bằng tiền về lao động sống và lao động hóa trong quá trình sản xuất
* Khác nhau:
+ Về thời gian: chi phí sản xuất gắn liền với từng thời kỳ, còn giá thành sản phẩm gắn với thời hạn hoàn thành sản phẩm. ...
+ Có những chi phí được tính vào giá thành nhưng không được tính vào chi phí kỳ này.
+ Mối quan hệ chi phí và tính giá thành sản phẩm: Chi phí là cơ sở để tính giá thành, giá thành là thước đo chi phí sản xuất mà doanh nghiệp bỏ ra để có được khối lượng hoàn thành.
+ Có nhiều chi phí phát sinh trong kỳ nhưng chưa có sản phẩm hoàn thành do đó chưa có giá thành.
Step-by-step explanation:
C=2(y-k) solve for y
Answer:
[tex] \blue{y = \dfrac{C + 2k}{2}} [/tex]
Step-by-step explanation:
[tex] C = 2(y - k) [/tex]
[tex] C = 2y - 2k [/tex]
[tex] C + 2k = 2y [/tex]
[tex] \dfrac{C + 2k}{2} = y [/tex]
[tex] y = \dfrac{C + 2k}{2} [/tex]
Solve the quadratic function by graphing.
-4x^2 + 16x - 16 = 0
0,-4)
(-4,0)
(2,0)
(0,2)
-4x²+16x-16=0
X=2
The choose (2,0)
Kayla drives 15 miles in 20 minutes. If she drove one hour in total at the same rat how far did she go? Before you try that problem, answer the question below. How many minutes did Kayla drive in total? ] try
how far did she go in minutes???
Answer:
Kayla drove 45miles
Answer: She went 3/4 miles in a minute and 45 miles in an hour
Step-by-step explanation:
15 miles in 20 minutes so 45 miles in 1 hour or 60 minutes
Since 45 miles in 60 minutes, 3/4 miles in a minute
US adults consume an average of 3,400 mg of sodium each day. We wanted to find out if a 5 minute health video would help people control their salt intake. After watching the video, the 36 participants in our study had a mean sodium intake of 3,200 mg with a standard deviation of 600 mg. What type of statistical test should we run to find out if there was a difference between our group and the general population
Answer:
a) Z Test(n>30)
b) [tex]t=2.028[/tex]
Step-by-step explanation:
Average [tex]A=3400[/tex]
Mean [tex]\=x=3200[/tex]
Sample size [tex]n=36[/tex]
Standard deviation [tex]\sigma=600mg[/tex]
Generally using the Z Test(n>30)
Generally the equation for Standard Error S.E is mathematically given by
[tex]S.E=\frac{600}{\sqrt{36}}[/tex]}
[tex]S.E=100[/tex]
Generally the equation for Z test is mathematically given by
[tex]Z=\frac{\=x-A}{\sigma\sqrt{n}}[/tex]
[tex]Z=\frac{3200-3400}{600\sqrt{36}}[/tex]
[tex]Z=-2[/tex]
From table
[tex]T critical= (Z,df)[/tex]
Where
[tex]df=n-1[/tex]
[tex]df=35[/tex]
Therefore
[tex]t=2.028[/tex]
Solve the equation by using the quadratic formula.
3 x squared minus 1 = 7 x
Answer:
b. [tex]\frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}[/tex]
Step-by-step explanation:
[tex]3x^{2} -1=7x[/tex]
Quadratic equations are suppose to be written as: [tex]ax^2+bx+c=0[/tex]
so the new quadratic equation for this problem will be: [tex]3x^{2} -1-7x=0[/tex]
Now rearrange the terms: [tex]3x^{2} -7x-1=0[/tex]
Then use the Quadratic Formula to Solve for the Quadratic Equation
Quadratic Formula = [tex]x=\frac{-b±}{} \frac{\sqrt{b^2-4ac} }{2a}[/tex]
Note: Ignore the A in the quadratic formula
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
[tex]3x^{2} -7x-1=0[/tex]
a = 3
b = -7
c = -1
[tex]x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}[/tex]
Evaluate The Exponent
[tex]x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{49+12} }{2(3)}[/tex]
Add The Numbers
[tex]x=\frac{7±\sqrt{61} }{2(3)}[/tex]
Multiply The Numbers
[tex]x=\frac{7±\sqrt{61} }{6}[/tex]
o perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one, two, or three steps. The second procedure requires either one or two steps. Answer the first and second questions using this information.List the experimental outcomes associated with performing the blood analysis. (Hint: The first procedure has three possible outcomes (steps needed), the second procedure has two possible outcomes (steps needed)).(1), (2), (3), (1,1), (2,1), (3,1), (1,2), (2,2), (3,2), (1,3), (2,3), (3,3)(1), (2), (3), (1,1), (2,1), (3,1), (1,2), (2,2), (3,2)(1,1), (2,1), (3,1), (1,2), (2,2), (3,2), (1,3), (2,3), (3,3)(1,1), (2,1), (3,1), (1,2), (2,2), (3,2)
Answer:
11, 12, 13, 21, 22 and 23
Step-by-step explanation:
Given
[tex]Procedures = 2[/tex]
[tex]1 \to[/tex] Step 1
[tex]2 \to[/tex] Step 2
[tex]3 \to[/tex] Step 3
Required
List all possible experimental outcomes
From the question, we understand that:
[tex]Procedure\ 1 = 3\ steps[/tex]
[tex]Procedure\ 2 = 2\ steps[/tex]
So, the total possible steps (n) are:
[tex]n=Procedure\ 1 * Procedure\ 2[/tex]
[tex]n = 3 * 2[/tex]
[tex]n = 6\ steps[/tex]
Such that the 2nd steps cannot take the value of 3.
So, the outcomes are: 11, 12, 13, 21, 22 and 23
A biologist is studying the migratory patterns of sandhill cranes. His study focuses only on sandhill cranes that are bred and hatched in Alaska, and eventually migrate south to warmer climates. Each year he randomly tags a sample of 50 cranes with GPS trackers to gather data about their migratory patterns.
In this scenario, the population is
.
In this scenario, the sample is
Answer:
Population = All Sandhill cranes bred and hatched in Alaska that migrate south
Sample = The 50 crane samples which are tagged yearly.
Step-by-step explanation:
The population refers to all members or subjects which belongs to a defined study. Each and every subject which meets the requirement of a study makes up the population.
The sample however, is a subset of the population, the sample is a smaller group of subject which is selected from the population randomly to for a representative sample of the population. Here, it is the 50 sampled sandhill cranes bed per year.
Answer:
These are the answers
Step-by-step explanation:
7(x – 3) = 5(x+3)
Solve for x
Step-by-step explanation:
7x-21 = 5x +15
7x-5x = 15 + 21
2x = 36
x = 36/2
x = 18
Answer:
x=18
Step-by-step explanation:
Distribute 7 through the parentheses
7x-21=5(x+3)
Move the variable to the left -hand side and change its sign
7x-21-5x=15
Collect like terms
2x=15+21
divide both sides of the equation by 2
x=18
I have a mix of 12 nickels and dimes in my pocket. All together I have $1 . How many nickles and dimes do I have?
(Create a system of equations and solve that system)
Answer:
Step-by-step explanation:
n + d = 12
0.05n + 0.1d = 1 ║ × ( - 10 )
n + d = 12 ..... (1)
- 0.5n - d = - 10 ..... (2)
(1) + (2)
0.5n = 2 ⇒ n = 4
d = 12 - 4 = 8
There are 4 nickels and 8 dimes in the pocket.
at sunrise, the outside temperature was 3 below zero by lunchtime the temperature rose by 27 and fell by 10 by night what was the temperature at the end of the day?
Answer:11 degrees at sunrisde the temp was -1 degree
Step-by-step explanation:
Evaluate the function at the given values of x. Round to 4 decimal places, if necessary. =fx7x
Step-by-step explanation:
what are the given values of x ?
there is nothing visible.
and what is the function itself ? f(x) = 7x ?
it is not clear.
HELP!!!! NUMBER 2
2. Find the distance between these two points.
First Point
Second Point
Distance
(5, - 2)
(8,6)
(5,6)
(-3,6)
(-3,6)
(5,-2)
Answer:
1. 8
2 . 11
[tex]3 . \sqrt{128} \ or \ 8 \sqrt2[/tex]
Step-by-step explanation:
[tex]Distance = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 }[/tex]
1 . ( 5 , - 2 ) and ( 5 , 6 )
[tex]Distance = \sqrt{(5 -5)^2 + ( 6-(-2))^2} = \sqrt{ 0 + 8^2 } = \sqrt{64} = 8[/tex]
2 . ( 8 , 6 ) and ( - 3 , 6 )
[tex]Distance = \sqrt{( -3 -8)^2 + ( 6 - 6)^2 } = \sqrt{ (-11)^2 + 0 } = \sqrt { 121 } = 11[/tex]
3. ( 5 , - 2 ) and ( -3 , 6 )
[tex]Distance = \sqrt{(-3 - 5)^2 + ( 6 --2)^2} = \sqrt{(-8)^2 + ( 8)^2} = \sqrt{ 64 + 64 } = \sqrt{128}[/tex]
[tex][ \ \sqrt{128} = \sqrt{ 2 \times 64} = \sqrt{ 2 \times 8^2 } = 8 \sqrt{2} \ ][/tex]
Listed below are the commissions earned ($000) last year by a sample of 15 sales representatives at Furniture Patch Inc.
$4.3 $6.1 $7.4 $10.7 $13.1 $13.6 $14.7 $16.5 $17.1 $17.4 $18.7 $22.3 $36.7 $43.2 $79.4
Required:
a. Determine the mean, median, and the standard deviation.
b. Determine the coefficient of skewness using Pearson.
Answer:
Mean = 21.413
Median = 16.5
Standard deviation = 19.182
0.768
Step-by-step explanation:
Given the data :
Ordered data, X : 4.3 6.1 7.4 10.7 13.1 13.6 14.7 16.5 17.1 17.4 18.7 22.3 36.7 43.2 79.4
The sample size, n = 15
The mean, m= ΣX / n = 321.2 / 15 = 21.413
The median, Md:
1/2(n + 1)th term
1/2 (15 +1) th term
1/2(16) = 8th term
Median = $16.5
The standard deviation, s = √[Σ(x - m)²/ n]
The standard deviation obtained using a calculator is ; 19.182
Coefficient of skewness : = 3(m - Md) / s
= 3(21.413 - 16.5) / 19.182
= 14.739 / 19.182
= 0.768
draw the graph of y = 3 - 1/2x
Answer:
Hope this helps you.
Samples of rejuvenated mitochondria are mutated (defective) in 2% of cases. Suppose 12 samples are studied, and they can be considered to be independent for mutation. Determine the following probabilities.
(a) No samples are mutated.
(b) At most one sample is mutated.
(c) More than half the samples are mutated.
(c) is 0.00
Round your answers to two decimal places
Answer:
a) 0.7847 = 78.47% probability that no samples are mutated.
b) 0.9769 = 97.69% probability that at most one sample is mutated.
c) 0% probability that more than half the samples are mutated.
Step-by-step explanation:
For each sample, there are only two possible outcomes. Either they are mutated, or they are not. The probability of a sample being mutated is independent of any other sample, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
2% of cases.
This means that [tex]p = 0.02[/tex]
12 samples are studied
This means that [tex]n = 12[/tex].
(a) No samples are mutated.
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.02)^{0}.(0.98)^{12} = 0.7847[/tex]
0.7847 = 78.47% probability that no samples are mutated.
(b) At most one sample is mutated.
This is:
[tex]P(X \geq 1) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.02)^{0}.(0.98)^{12} = 0.7847[/tex]
[tex]P(X = 1) = C_{12,1}.(0.02)^{1}.(0.98)^{11} = 0.1922[/tex]
[tex]P(X \geq 1) = P(X = 0) + P(X = 1) = 0.7847 + 0.1922 = 0.9769[/tex]
0.9769 = 97.69% probability that at most one sample is mutated.
(c) More than half the samples are mutated.
This is:
[tex]P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,7}.(0.02)^{7}.(0.98)^{5} \approx 0[/tex]
So the others(greater than 7) wil be 0 too
0% probability that more than half the samples are mutated.