The value for variable m in equation Z = m + mwg is m = Z - mwg.
What are variables?
The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.
The equation is given as -
Z = m + mwg
To get the value for variable m, subtract mwg from Z and take it to left-hand side.
Z - mwg = m
Reverse the equation and get it in right form -
The equation obtained is -
m = Z - mwg
Therefore, the value is m = Z - mwg .
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substitute 4 for x and evaluate the expression below. (x-3)+4
Answer:
5
Step-by-step explanation:
First we do the equation in parathesis
4 - 3 = 1
Now we add 4.
1 + 4 = 5
Answer:
5
Step-by-step explanation:
(x - 3) + 4
(4 - 3) + 4
1 + 4
5
Formula for std dev of sampling distribution sampling proportions sample means
This sample proportion is roughly normally distributed for large samples, with a mean of μˆP=p. and a standard deviation of σˆP=√pqn.
A ratio is exactly what?An equation that sets two ratios at the same value is known as a percentage. For instance, if there is one boy and three females, you can phrase the ratio as 1: 3 (there are three girls for every one boy), which means that 3 out of every four girls and one out of every four boys are female.
What does a proportional example consist of?A ratio that links a portion to the whole is a percentage. For instance, there are 80 women and 20 men among the 100 students in the class. Men make up 20% of the population, or 20/100. Women make up 80% of the population.
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sin2 80° + cos2 80° without calculator
Answer:
1
Step-by-step explanation:
Because of the Pythagorean Identity [tex]\sin^2\theta+\cos^2\theta=1[/tex], then the answer is simply 1 as the angle does not matter.
You are given a coin. You do not know if it is a fair coin or not.
You want to figure out a way so that you can make a sound statement about the fairness of the coin.
One way to figure out the fairness of the coin is to conduct a large number of coin flips and record the number of heads and tails.
Describe probability in coin sample?Probability is a measure of the likelihood of an event occurring. In the context of a coin flip, the probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes.
For a fair coin, the two possible outcomes are heads (H) and tails (T). The probability of getting heads or tails in a single coin flip is equal to 1/2, or 50%. This means that if you flip a fair coin 100 times, you would expect to get approximately 50 heads and 50 tails.
It's important to note that probability is a theoretical concept, and the actual outcome of a coin flip can never be predicted with 100% certainty. However, the law of large numbers states that as the number of coin flips increases, the ratio of heads to tails will approach the theoretical probability.
The concept of probability can also be applied to more complex events involving multiple coin flips. For example, the probability of getting two heads in a row is (1/2) * (1/2) = 1/4, or 25%. The probability of any specific sequence of heads and tails can be calculated using the same method.
One way to figure out the fairness of the coin is to conduct a large number of coin flips and record the number of heads and tails. Then, calculate the proportion of heads and compare it to 0.5, which is the expected proportion for a fair coin. The larger the sample size, the more confident you can be in your conclusion about the fairness of the coin. If the proportion of heads is close to 0.5, it is likely that the coin is fair. If the proportion deviates significantly from 0.5, it is likely that the coin is not fair. It's also important to use a rigorous statistical method to test the hypothesis of fairness, such as a one-sample proportion test, to account for random fluctuations in the results.
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Please help??????????
G(x) = 9+ 4x
h(x) =x + 21/5
Write (hog)(x) as an expression in terms of x.
(hog)(x) =
The composite result function (h o g)(x) in the given functions g(x) = 9 + 4x and h(x) = x + 21/5 is 4x + 66/5.
What is the composite result function (h o g)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
g(x) = 9 + 4xh(x) = x + 21/5(h o g )(x) = ?To find (h o g)(x), first set up the composite result function h(g(x)).
h(x) = x + 21/5
h( g(x) ) = g(x) + 21/5
Plug g(x) = 9 + 4x
h( g(x) ) = ( 9 + 4x ) + 21/5
Simplify
h( g(x) ) = 9 + 4x + 21/5
h( g(x) ) = 4x + 9 + 21/5
h( g(x) ) = 4x + 66/5
Therefore, the composite function h( g(x) ) is 4x + 66/5.
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claire has a points card for a movie theater. she receives 75 rewards points just for signing up. she earns 13.5 points for each visit to the movie theater. she needs at least 210 points for a free movie ticket. use the drop-down menu below to write an inequality representing vv, the number of visits she needs to make in order to get a free movie ticket.
Using the drop-down menu below to write an inequality is V ≥ 10. The number of visits she needs to make in order to get a free movie ticket is 10.
We have,
75 rewards points just for signing up.
earns 13.5 points for each visit to the movie theater
she needs at least 210 points for a free movie ticket
To write the inequality representing v is,
75 + 13.5v ≥ 210
13.5v ≥ 210 - 75
13.5 v ≥ 135
v ≥ 10
Therefore, by solving inequality the number of visits she needs to make in order to get a free movie ticket is 10.
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Ernie scores 50 points in Level 1 of a video game.
In each subsequent level, he scores twice as many
points as he did in the previous level.
The Formula is [tex]a_n[/tex]= 50 ([tex]2^{n-1[/tex] ).
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
Ernie scores 50 points in Level 1 of a video game.
After II level the points would be
50 x 2 = 100
Then, after III level the points would be
100 x 2 = 200
So, the Recursive formula for the situation is
[tex]a_n[/tex]= a [tex]r^{n-1[/tex] where r is common ratio = 100/50 = 2
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The fraction 9/21 is in lowest terms? A. True B. False
Answer:
B) False
Step-by-step explanation:
It can be simplified to 3/7 as they both have the common factor 3.
Find the global extreme values of the function f(x, y) = x^2 + 2(y^2)
on the circle x^2 + y^2 = 1.
The global extreme values of the function f(x, y) = x² + 2(y²) on the circle x² + y² = 1 are,
The maximum value of f on the circle x² + y² = 1 is,
⇒ f(0, ±1) = 2
And, the minimum value is,
⇒ f(±1, 0) = 1
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
Function is,
f(x, y) = x² + 2(y²)
And, Equations of circle is,
x² + y² = 1
Hence, The maximum value of f on the circle x² + y² = 1 is,
⇒ f(0, ±1) = 0² + 2(1²) = 2
And, the minimum value is,
⇒ f(±1, 0) = 1² + 2 × 0 = 1
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uppose the number of goals scored per game in an under 14 boys indoor soccer league follows a Poisson distribution with 3.3 goals per game. Define x as the number of goals scored in a game. You will answer questions concerning the probabilities of different values of x in this sample Excel spreadsheet: A B 1 P(x = 2) =POISSON.DIST(2,3.3, FALSE) 2 P(x = 5) 3 P(x > 3)
A excel spreadsheet computes likelihood of various upsides of objectives scored in a game utilizing the POISSON.DIST capability. The equation for x=2, 5 and x>3 objectives is given.
In the Succeed calculation sheet, Segment A rundowns the various upsides of x that we need to track down the probabilities for.
Segment B contains the relating equation to ascertain the likelihood utilizing the POISSON.DIST capability.
The recipe in cell B1 works out the likelihood of scoring 2 objectives in a game, P(x = 2), utilizing the POISSON.DIST capability with the contentions 2, 3.3, and Misleading.
The equation in cell B2 computes the likelihood of scoring 5 objectives in a game, P(x = 5), utilizing the POISSON.DIST capability with the contentions 5, 3.3, and Misleading.
The recipe in cell B3 works out the likelihood of scoring multiple objectives in a game, P(x > 3), utilizing the POISSON.DIST capability with the contentions 3, 3.3, and Valid. The Genuine contention works out the combined conveyance capability, which gives the likelihood of getting a worth not exactly or equivalent to the contention. To track down the likelihood of getting a worth more prominent than the contention, deduct the combined dissemination capability from 1.
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CAN SOMEONE HELP WITH THESE QUESTIONS?
Answer:
Graphed line is shown below
Step-by-step explanation:
m = 1/3, (-3, 3)
y - y1 = m (x - x1)
y - 3 = 1/3 (x + 3)
y - 3 = (1/3)x + 1
y = (1/3)x + 4
. The x-intercepts of y = f(x) are -1, 3, and 6. Find the x-intercepts of
(a)y = f(2x)
(b) y = 2f(x)
(c) y = f(x + 2)
Compare the appearance of each graph to the appearance of the graph y = f(x).
(d)y = f(mx)
(A) the x-intercepts of y = f(2x) are (-1)/2, 3/2, and 6/2.
(B) the x-intercepts of y = 2f(x) are 1, 3, and 6.
(C) the x-intercepts of y = f(x + 2) are (-1 - 2), (3 - 2), and (6 - 2), which are -3, 1, and 4.
How did we get the values?(a) To find the x-intercepts of y = f(2x), we need to find the values of x for which f(2x) = 0. Since x-intercepts of y = f(x) are -1, 3, and 6, the corresponding x-intercepts of y = f(2x) are (-1)/2, 3/2, and 6/2.
(b) To find the x-intercepts of y = 2f(x), we need to find the values of x for which 2f(x) = 0. Since x-intercepts of y = f(x) are -1, 3, and 6, the x-intercepts of y = 2f(x) are the same: -1, 3, and 6.
(c) To find the x-intercepts of y = f(x + 2), we need to find the values of x for which f(x + 2) = 0. Since x-intercepts of y = f(x) are -1, 3, and 6, the corresponding x-intercepts of y = f(x + 2) are (-1 - 2), (3 - 2), and (6 - 2), which are -3, 1, and 4.
(d) The appearance of y = f(mx) will be a compression or expansion of the graph of y = f(x), depending on the value of m. If m < 1, the graph of y = f(mx) will be a compression of the graph of y = f(x) along the x-axis. If m > 1, the graph of y = f(mx) will be an expansion of the graph of y = f(x) along the x-axis. The x-intercepts of y = f(mx) can be found by finding the values of x for which f(mx) = 0.
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HEEELP MEE!!
The population of a colony started with 1,120 grows at an annual rate of 4.98%. How much more would you have, at the same time if you used continuous growth, compared to a growth rate when the continuous reaches 3,480?
The time that is taken by the colony is 23 years.
What is the time taken for the growth?The exponential growth function can be used to account for the exponential increase in the number of the organisms that are to be found in the colony.
Given that we have that;
P=Poe^rt
P = Number at time t
Po = Number initially present
r = rate of growth
t = time taken
Thus;
3480 = 1120e^0.0498t
3480/1120 = e^0.0498t
3.1 = e^0.0498t
ln(3.1) = 0.0498t
t = ln3.1/0.0498
t = 23 years
There are 23 years
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Find f(x) if f is a linear function such that f(6)=4 and f(−5)=−6 .
Answer:
f(x) =[tex]\frac{10}{11}[/tex]x [tex]-\frac{16}{11}[/tex]
Step-by-step explanation:
The format of the linear function f(x) is ax + b. Thus, we can list the following equations:
4 = 6a + b .... (1)
-6 = -5a + b .... (2)
We can use the first equation to subtract the second equation getting: 10 = 11a. This means a = [tex]\frac{10}{11}[/tex]. From that, if we plug in the value of a into the first equation, we get 4 = [tex]\frac{60}{11}[/tex] + b, so b = [tex]-\frac{16}{11}[/tex]. Thus, f(x) =[tex]\frac{10}{11}[/tex]x [tex]-\frac{16}{11}[/tex]
HELP PLEASE.
Write the following sentence as an equation. Use x to represent "a number."
A number subtracted from 18 amounts to 107.
The equation is
-
*** HELP
Answer:
-18 - x = 107
Step-by-step explanation:
Please help me. A cone has a volume of 350 cubic meters. The area base is 70 square meters. What is the height of the cone?
On solving the provided question we can say that Area of the base = [tex]pi*r^2 = 70[/tex] => 350 (3/70) = h = 15 m
What is area?The size of an area on a surface can be expressed as an area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a planar region or planar region refers to the area of a form or planar layer. The total amount of space filled by a planar (2-D) surface or shape of an object is known as its area. Draw a square on a piece of paper using a pencil. a character with two dimensions. The area of a shape on paper is the space it takes up. Imagine that the square is composed of more compact unit squares.
[tex]pi * r^2 * h / 3[/tex]
Area of the base = [tex]pi*r^2 = 70[/tex]
350 = 70 * h / 3
350 = (70/3) * h
350 (3/70) = h = 15 m
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FIND ALL MISSING VALUES (HELP PLS ). ET
IT
RT = 960 0
Ω
E1
11 = 0.06
R1
E2
12
R21000 2
E3
13
Ω
R3 = 650 02
E4
14
R4 = 950 0
The following currents are present in the circuit: I₁ = 0.492 A, I₂ = -0.428 A, I₃ = 0.920 A. They are found by Kirchoffs law and solving simultaneously.
Inequalities: what are they?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Kirchoff's law and Junction Law will be applied given the various resistances and the circuit.
Apply Kirchoff's law to the left side loop as a starting point.
E₁ + E₂ = (r₁ + R₁ + R₄) I₁ + ( R₂ + r₂ ) I₃
18 + 3 = ( 0.5 + 8 + 15 ) I₁ + ( 10 + 0.25 ) I₃
21 = 23.5 I₁ + 10.25 I₃ —- ( 1 ) ( 1 )
Apply Kirchoff's law to the right side loop as the next step.
E3 - E4 - E2 equals (r3 - r4 - R3) I₂ - ( r₂ + R₂ ) I₃
12 - 24 - 3 = ( 0.75 + 0.25 + 12 ) I₂ - ( 0.25 + 10 ) I₃
-15 = 13 I₂ - 10.25 I₃ —- ( 2 ) ( 2 )
Note: I1 = I2 + I3 when using the Law of Junction.
concurrently solve equations (1) and (2)
I1=0.492A, I2=-0.428A, and I3=0.920A
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4r^2+3s^2-rs r=-1 S=3
Need help with steps because everyone keeps saying it’s 26 but I get 28
Answer:
34
Step-by-step explanation:
4r² + 3s² - rs ← substitute r = - 1, s = 3 into the expression
= 4(- 1)² + 3(3)² - (- 1)(3)
= 4(1) + 3(9) - (- 3)
= 4 + 27 + 3
= 34
Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its zenith at a point A on the earth, it is observed to be at the horizon from point B. Points A and B are 6156 miles apart on the surface of the earth, and the radius of the earth is 3960 miles.
7319.6 miles is the estimate of the average distance from the earth to the moon
What is Distance?The length along a line or line segment between two points on the line or line segment.
We can use the triangle formed by the earth's center, point A, and the moon to find the distance.
Let us use the law of cosines to find the distance from the earth to the moon.
d = √3960² + 6156² - 2(3960)(6156)cos(90))
The value of cos90 is 0.
d = √3960² + 6156²
d=√15681600+37896336
d=√53577936
d=7319.6 miles.
Hence,7319.6 miles is the estimate of the average distance from the earth to the moon
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The women’s basketball team played 30 home games and won 1/2 of them. They also won 2/3 of their 42 away games. How many games did they win?
Answer:
43 games
Step-by-step explanation:
The number of home games won by the women’s basketball team is 30 * 1/2 = 15.
The number of away games won by the women's basketball team is 42 * 2/3 = 28.
Therefore, the total number of games won by the team is 15 + 28 = 43.
On the last three physics exams a student scored 84, 87, and 92. What score must the student earn on the next exam to have an average of at least 90?
The student must score at least %.
(Simplify your answer. Type an integer or a decimal.)
The student must score the marks which should be ≥ 97
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Let x be the marks need to be scored in the next exam
Average = sum of marks/ number of exams
Given: score must the student earn on the next exam to have an average of at least 90
This means,
Average ≥ 90
sum of marks/ number of exams ≥ 90
( 84+ 87 +92+x)/4 ≥ 90
(263+x)/4 ≥ 90
=> 263+x ≥ (90 * 4)
=> 263+x ≥ 360
=> x ≥ 360 - 263
=> x ≥ 97
The student must score the marks which should be ≥ 97
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find the area of the region bounded by the three lines below. [hint: you will have to split up the integral into two parts.] y
The area of the region bounded by the three lines is 4.
The region bounded by the three lines y = 0, y = x and y = 2x is a triangle. To find the area of this region, we need to split the integral into two parts. The first part is the area of the triangle formed by y = 0, y = x and y = 2x. This can be found by integrating y from 0 to x, and x from 0 to 2x. The second part is the area of the triangle formed by y = 0, y = x and y = 0. This can be found by integrating y from 0 to x, and x from 0 to 0.
Therefore, the area of the region bounded by the three lines is given by:
[tex]A = 1/2 ∫x=0 to 2x ∫y=0 to x dy dx + 1/2 ∫x=0 to 0 ∫y=0 to x dy dxA = 1/2[x^2/2]_0^2x + 1/2[x^2/2]_0^0\\A = x^2 \\A = 4[/tex]
The area of the region bounded by the three lines is 4.
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Evaluate −2x+17 when x=−8.
Find the degree of this polynomial.
K4
The degree of this polynomial is 4.
What is the polynomial?
A polynomial is an algebraic expression consisting of variables and coefficients, combined using only addition, subtraction, and multiplication. Polynomials can have constants (numbers), variables (letters), and exponents (powers). A polynomial is named after the degree of its highest-degree term, with the degree being the exponent of the variable.
The degree of a polynomial is the highest exponent in the polynomial. In this case, the polynomial is "K4," which has only one term.
The degree of this polynomial is 4.
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For what value of n is the polynomial x^3 - 9x^2 + nx - 12 divisible by x - 3? Show work.
Answer:
B
Step-by-step explanation:
if a polynomial f(x) is divisible by (x - a) , then f(a) = 0
for the polynomial to be divisible by (x - 3) then the polynomial will equal zero when x = 3 , that is
3³ - 9(3)² + 3n - 12 = 0
27 - 9(9) + 3n - 12 = 0
27 - 81 + 3n - 12 = 0
3n - 66 = 0 ( add 66 to both sides )
3n = 66 ( divide both sides by 3 )
n = 22
Tony, Hans, and Dante made flyers last Wednesday. The table below shows the number of flyers each person made and how much time each person spent.
Write the time spent per flyer for each person. Then determine who worked the fastest.
Among Tony, Hans and Dante, Dante made flyers the fastest and he took least time to do the work of making flyers.
What do we mean by time and work?Time and work deals with the time it takes an individual or group to complete a task and the efficiency of the work they do.
According to the information given in the question:
Tony made 8 flyers in 64 minutes
Hans made 3 flyers in 21 minutes
Dante made 6 flyers in 30 minutes
By observing, it says
Tony took 8 minutes to make 1 flyer
Hans took 7 minutes to make 1 flyer
Dante took 5 minutes to make 1 flyer
Hence, it can be concluded by time and work relationship that Dante was the fastest among the three competitors.
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The bag contains 20 red marbles, 30 white marbles, and 40 blue
marbles.
a. What is the ratio of red to blue marbles?
b. What is the ratio of white to red marbles?
c. If one marble is drawn from the bag, what is the probability that
marble will not be white?
When the product of 1 and 1 in subtroter fire no
of 1 and 1
a) The ratio of red to blue marbles is 1:2.
b) The ratio of white to red marbles is 3:2.
c) The probability of drawing a white marble from the bag is 33%.
What is the ratio?The ratio is the relative size of a value compared to another.
Ratios show the quantity of one variable contained in a larger variable.
On the other hand, the probability is the odds or likelihood that an expected outcome occurs given many possible outcomes.
Both ratios and probabilities can be expressed in fractions, decimals, and percentages because they are fractional values.
The number of red marbles in the bag = 20
The number of white marbles in the bag = 30
The number of blue marbles in the bag = 40
The total number of marbles in the bag = 90
a) The ratio of red to blue marbles = 20:40 = 1:2
b) The ratio of white to red marbles = 30:20 = 3:2
The sum of ratios of all marbles = 9 (2:3:4)
c) The probability of drawing a white marble from the bag = 3/9 = 0.33 or 33%
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according to the histogram, which range of length (in inches) contains the longest sampled eastern diamondback rattlesnake?
According to the histogram 87.5 - 90.5 range of length (in inches) contains the longest sampled eastern diamondback rattlesnake.
In statistics, a histogram is a graphic representation of data distribution. Each bar in the histogram represents a different type of data, and the histogram is displayed as a group of adjacent rectangles. Statistics is a discipline of mathematics that is used in many different fields.
Frequency, which may be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data. One type of graph that can be used to illustrate a frequency distribution visually is a histogram.
The range of a histogram is the x-axis breadth that the bars cover. Since histograms show bin values rather than actual data values, these numbers are approximations.
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Complete question:
Question According to the histogram, which range of length (in inches) contains the longest sampled Eastern diamondback rattlesnake? Provide your answer below: greater than but less than
if PX equals to x cube + 3 x square - 2 X + 4 then find value of P2 P - 2 and p0if PX = x³ + 3 x square - 2 X + 4 find the value of p2p minus 2 and p0
Answer: The polynomial P(x) = x³ + 3x² - 2x + 4 is a cubic polynomial with the following properties:
p2 = 2: the coefficient of the x² term in P(x)
p - 2 = -2: the constant term in P(x)
p0 = 4: the coefficient of the x³ term in P(x)
So, p2 = 2, p - 2 = -2, and p0 = 4.
Step-by-step explanation:
Two trains, Train A and Train B, weigh a total of 147 tons. Train A is heavier than Train B. The difference of their weights is 65 tons. What is the weight of each train?
Answer:
A: 106 tonsB: 41 tonsStep-by-step explanation:
Given trains A and B have weights that total 147 tons, with train A being heavier by 65 tons, you want the weight of each.
Sum and DifferenceThe relations given in the problem can be expressed as ...
A + B = 147 . . . . . . the total weight
A - B = 65 . . . . . . . the difference of weights (A is heavier)
SolutionThe equations can be added to eliminate the B variable:
(A +B) +(A -B) = (147) +(65)
2A = 212 . . . . simplify
A = 106 . . . . . divide by 2
The other weight can be found any number of ways. One way is to subtract the difference here:
B = A -65 = 106 -65 = 41
Train A weighs 106 tons; train B weighs 41 tons.
__
Additional comment
You will see "sum and difference" problems in many forms. The solution is always the same: the greater value is half the sum of the given numbers; the lesser value is half their difference.
A = (147 +65)/2 = 212/2 = 106
B = (147 -65)/2 = 82/2 = 41