In the equation 32-b=3b-8

what is the value of b?

A. 6

B. 10

C. 20

D. 5

Answer:

5 - 3y

Step-by-step explanation:

Step 1: Convert product of y and 3 into numbers

Product = multiply

y = y

3 = 3

3y

Step 2: Convert 5 minus into numbers

minus = subtract

5 - 3y

Answer:

5-3y

Step-by-step explanation:

\((\stackrel{x_1}{-15}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{-20}~,~\stackrel{y_2}{-12}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-12}-\stackrel{y1}{(-10)}}}{\underset{\textit{\large run}} {\underset{x_2}{-20}-\underset{x_1}{(-15)}}} \implies \cfrac{-12 +10}{-20 +15} \implies \cfrac{ -2 }{ -5 } \implies {\Large \begin{array}{llll} \cfrac{2 }{ 5 } \end{array}}\)

Answer: The slope is -2/5

Step-by-step explanation:

Step-by-step explanation:

You have to find a number that goes into both numbers and then divide. So for example question 25:

4 goes into 4 and 8

so the answer to 25 is 1/2

4/8 = 1/2

The estimated probability that all four randomly selected young American men are 68 inches or shorter is approximately 0.004 or 0.4%.

To calculate the probability that all four randomly selected young American men are 68 inches or shorter, we need to consider the probability for each individual man and multiply them together.

Let's assume that the probability of an individual young American man being 68 inches or shorter is p. Since we are selecting four men at random, the probability of each man being 68 inches or shorter is the same, and we can multiply their probabilities together.

The probability of one man being 68 inches or shorter is p. Therefore, the probability of all four men being 68 inches or shorter is p × p × p × p = p^4.

However, we are not given the specific value of p in the problem statement. If we assume that the height of young American men follows a normal distribution, we can look up the corresponding z-score for a height of 68 inches or shorter and use the standard normal distribution to estimate the probability.

For example, if we find that a height of 68 inches corresponds to a z-score of -1.0, we can use a standard normal distribution table or a calculator to determine the probability of a z-score less than or equal to -1.0. Let's say this probability is approximately 0.1587.

Therefore, the estimated probability that all four randomly selected young American men are 68 inches or shorter would be (0.1587)^4 = 0.004.

Thus, the probability is approximately 0.004 or 0.4% rounded to three decimal places.

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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

216=6^3

Step-by-step explanation:

Convert it into decimal form, i.e.,

\( \frac{ - 121}{216} = - 0.56\)

Express it in standard form.

\( - 0.56 = \frac{ - 5.6}{10} = - 5.6 \times 10 {}^{ - 1} \)

Answer:

$31.68

Step-by-step explanation:

Multiply each by the correct number

almond= 1.4*9.15= 12.81

cashews= 10.75* 0.8= 8.6

Peanuts= 3.95 * 2.6= 10.27

Add them all up

12.81+8.6+10.27

you’ll get 31.68

Answer:

F. 48.98 m

Step-by-step explanation:

What is circumference?

How does it apply here?

Solving

Step 1: Plug in your values.

Step 2: Simplify.

Therefore, the correct answer is F. 48.98 meters.

Answer:

31.42

Step-by-step explanation:

C=2πr

d= 2r

Solving for C

C = πd = π·10 ≈ 31.41593

Answer:

(a) 31.4 in (b) 37.68 mm

Step-by-step explanation:

a- The circumference of a circle of radius r - or diameter d, is,

C=2\(\pi r\)=\(\pi d\)

In this case, we have that the diameter of the circle is d = 10in. If we use 3.14 for π, the circumference is,

\(C=\pi xd=3.14x10in=31.4in\)

b- - The question gives us a circle with a radius of 6mm and we are asked to find the circumference of the circle.

- To find the circumference of a circle, we simply need to apply the formula for finding the circumference of a circle.

- The formula for the circumference of a circle is:

C=2\(\pi \)×r

where,

r=radius

C= circumference of the circle:

- Thus, we can find the circumference of the circle as follows

r= 6mm

\(\pi \)=3.14

C=2×3.14× 6mm

C= 37.68mm

Final Answer

The circumference of the circle is 37.68 mm

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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Answer:

1. no solution

2. x = -6, 6

3. 0

4.x = -3, 3

5. 0

6.x = -4, 4

Step-by-step explanation:

= I'm not sure if right though

\(\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=65\pi \end{cases}\implies 65\pi =\cfrac{4\pi r^3}{3}\implies \cfrac{3}{4\pi}\cdot 65\pi =r^3 \\\\\\ \cfrac{195}{4}=r^3\implies \sqrt[3]{\cfrac{195}{4}}=r\implies 3.65\approx r\)

Answer:

table Alysaa

9 : 2.5

18 : 5

27 : 7.5

36 : 10

table Brian

12 : 4

24 : 8

36 : 12

2. Alyssa will need 10 gallons of water

3. Brian will need 12 gallons of water

4. Brian's recipe requires more water

Answer:

600

Step-by-step explanation:

2000/10=200. 200x3=600

The correct decision in a hypothesis test when the data produces a t-statistic that is in the critical region is to reject the null hypothesis.

This is because a t-statics in the critical region indicates that the differences between the sample mean and the population mean are statistically significant. This means that the data indicates that the null hypothesis is wrong and that the alternative hypothesis is true. In a hypothesis test, the null hypothesis is what the researcher is trying to disprove. It is the general statement that suggests that there is no difference between the sample mean and the population mean. The alternative hypothesis is what the researcher is attempting to prove. It suggests that there is a difference between the sample mean and the population mean. Therefore, when the data produces a t-statistic that is in the critical region, it indicates that the alternative hypothesis is true. When a t-statistic is in the critical region, it means that the result is statistically significant. This means that the differences between the sample mean and the population mean are unlikely to have occurred by chance and that the alternative hypothesis is likely to be true. Therefore, when the data produces a t-statistic that is in the critical region, the correct decision is to reject the null hypothesis and accept the alternative hypothesis.

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Answer:

roger earns 67:00 and Wilma earns 63:00

Step-by-step explanation:

The length of the remaining piece of wooden beam after the cut out in terms of polynomial y is 3y² + 3y + 13

Length of the wooden beam = 4y² + 3y + 1

Length cut out from the wooden beam= y² - 12

Length of the remaining piece of beam = Length of the wooden beam - Length cut out from the wooden beam

= (4y² + 3y + 1) - (y² - 12)

= 4y² + 3y + 1 - y² + 12

= 3y² + 3y + 13

Hence, 3y² + 3y + 13 is the remaining length of the wooden beam.

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Answer:

54 60

---- = -----

X 100

Step-by-step explanation:

yeah...

The volume of the solid bounded above by the sphere \(x^2 + y^2 + z^2 = 4\) and bounded below by the cone z = \(sqrt(3x^2 + 3y^2)\) is \(32/3 * π.\)

The Jacobian of this transformation is:

\(J = ∂(u,v)/∂(x,y) =\)

|1 -1|

|1 2|

= 3

The limits of integration for z become:

\(0 ≤ z ≤ (u + 3v/2)e^(2u+3v)/3\)

First, we will find the volume of the solid bounded above by the sphere \(x^2 + y^2 + z^2 = 4\) and bounded below by the cone z = \(sqrt(3x^2 + 3y^2)\)using triple integral in spherical coordinates.

The cone can be written in spherical coordinates as z = rho*cos(phi)*sqrt(3)sin(theta), and the sphere can be written as rho = 2. So the limits of integration for rho are 0 to 2, the limits of integration for phi are 0 to pi/2, and the limits of integration for theta are 0 to 2pi. The volume of the solid is given by the triple integral:

\(V = ∫∫∫ ρ^2*sin(phi) dρ dφ dθ\)

where the limits of integration are:

\(0 ≤ θ ≤ 2π\)

\(0 ≤ φ ≤ π/2\)

\(0 ≤ ρ ≤ 2\)

Substituting the limits of integration and solving the integral, we get:

\(V = ∫0^2 ∫0^(π/2) ∫0^(2π) ρ^2*sin(phi) dθ dφ dρ\)

\(= 4/3 * π * (2^3 - 0)\)

\(= 32/3 * π\)

Therefore, the volume of the solid bounded above triple integral in spherical coordinates by the sphere \(x^2 + y^2 + z^2 = 4\) and bounded below by the cone z = \(sqrt(3x^2 + 3y^2)\) is \(32/3 * π.\)

Next, we will find the volume of the solid region lying below \(f(x, y) = (2x - y)e^2x - 3y\)and above z = 0 and within the parallelogram with vertices (0,0), (3, 2), (4,4), and (1,2) using a change of variables.

The parallelogram can be transformed into a rectangle in the u-v plane by using the transformation:

u = x - y

v = x + 2y

The Jacobian of this transformation is:

\(J = ∂(u,v)/∂(x,y) =\)

|1 -1|

|1 2|

= 3

So the volume of the solid can be written as:

\(V = ∫∫∫ f(x,y) dV\)

\(= ∫∫∫ f(u,v) * (1/J) dV\)

\(= 1/3 * ∫∫∫ (2u + v)e^2(u+v)/3 - (3/2)v dudvdz\)

The limits of integration in the u-v plane are:

0 ≤ u ≤ 3

0 ≤ v ≤ 4

To find the limits of integration for z, we note that the solid lies above the xy-plane and below the surface z = f(x,y). Since z = 0 is the equation of the xy-plane, the limits of integration for z are:

0 ≤ z ≤ f(x,y)

Substituting z = 0 and the expression for f(x,y), we get:

0 ≤ z ≤ (2x - y)e^2x - 3y

Using the transformation u = x - y and v = x + 2y, we can rewrite the expression for z in terms of u and v as:

\(z = (u + 3v/2)e^(2u+3v)/3\)

So the limits of integration for z become:

\(0 ≤ z ≤ (u + 3v/2)e^(2u+3v)/3\)

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Answer:

Mitchell multiplies  −2x+3y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.

Step-by-step explanation:

In the rectangular coordinate system, every point is represented by an ordered pair. The first number in the ordered pair is the x-coordinate of the point, and the second number is the y-coordinate of the point.

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.

The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

A number system is defined as a system of writing to express numbers.

Given that 12 = 17 - 5, then 17 - 5 = 12

we need to check which property will be used.

The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.

Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.

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Answer:

C) 574.53 foot-pounds

Step-by-step explanation:

got it right on edge :)

Awagon is being pulled by a force of 15 pounds.  the required work done is 574.53 to pull the wagon So, Option C) is correct work done = 574.53.

The work done is product of force and cosine of displacement.

Given; Awagon is being pulled by a force of 15 pounds. We need to find How much work is done in moving the wagon 50 feet if the handle makes an angle of 40° with the ground.

Force = 15 pounds

distance = 50 feet

Ф = 40°

We can calculate the work done as;

work done = force x displacement x cosФ

work done = 15 x 50 x cos40

work done = 15 x 50 x 0.76

work done = 574.53

Therefore, the required work done is 574.53 to pull the wagon.

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Answer:

4.3 ft

Step-by-step explanation:

The length of the triangle is 9.63

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle. The hypotenuse in this case is the longest side because it is located across from the 90° angle. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

Given ,

The Pythagorean Theorem formula is c=√a^2+b^2

Plug in the numbers = c = √5.5^2 + 7.9^2

Simplify:

√30.25 + 62.41

Simplify

√92.66

= 9.62600644089

or 9.63

Therefore the length is 9.63 cm

The complete question is : 3. Find the length of the missing side using the Pythagorean Theorem. Round to the nearest tenth if necessary.

ox

5.5 ft

7.9 ft

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Answer:

81.64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please be explicit in labeling the radius.   I will assume y ou meant r = 13 m.

Circumference formula:  C  = 2πr; area formula:  A = πr²

Here, with r = 13 m, C = 2π(13 m) = 26π m = C = 81.68 m

and

with r = 13 m, A = π(13 m)^2 = 169π = A = 530.93 m^2

Answer:

18%

Step-by-step explanation:

51.25/62.5=0.82 Therefore 18 percent were discounted.

Step-by-step explanation:

a) 100

b)45

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