What is the measure of angle XYZ?

Answer:

A. Normal

B. Between 40.08 minutes and 43.92 minutes.

C. About 95 percent of these confidence intervals will contain the true population mean number of minutes of concentration and about 5 percent will not contain the true population mean number of minutes of concentration.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

Question A:

By the Central Limit Theorem, a normal distribution.

Question B:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{12}{\sqrt{150}} = 1.92[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.92 = 40.08 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.92 = 43.92 minutes

Between 40.08 minutes and 43.92 minutes.

Question C:

x% confidence interval -> x% will contain the true population mean, (100-x)% wont.

So, 95% confidence interval:

About 95 percent of these confidence intervals will contain the true population mean number of minutes of concentration and about 5 percent will not contain the true population mean number of minutes of concentration.

Answer:

Two sample test of means with unknown variance (standard deviation) but assumed equal

Step-by-step explanation:

For the scenario described above, we apply the two sample test means with unknown variance (standard deviation) but assumed equal test because, the there are two differebt or independent groups, each with its owm subjects or observations. The population variance or standard deviation aren't given. However, the variance are assumed to be equal., since the two groups of sample are chosen from the same population. Therefore, for the scenario described above, the most appropriate test would be a Two sample test of means with unknown variance (standard deviation) but assumed to be equal

Answer:

33k+32

Step-by-step explanation:

Assign Variables :

Alicia- A

Jamar- J

Tia- T

Write equations :

A = (3k+4)

J= 2(3k+4)

T=4(5+6k)

Simplify equations:

A= 3k+4

J= 6k+8

T= 20+24k

Add:

(3k+4)+(6k+8)+(20+24k)

3k+6k+24k+8+20+4

33k+32

I hope this helps :)

Answer:

Step-by-step explanation:

The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle, or surface of a solid (3-dimensional) object

Mass

A property of a physical body and a measure of its resistance to acceleration when a net force is applied.

Surface

The area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Volume

The Measure of the amount of space that a substance or an object takes up.

Answer:

1: 107°

2: 73°

Line b and a is same. So, straight line is 180°. hence, 180-107=73

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since pqrs is a quadrilateral

Total interior angle = 360 (keep in mind)

>PSR = 360-(65+130+95)

>PSR= 360-290=  70

* PST is a straight line :- >PSR + Y = 180 (sum of angle on a straight line)

:. Y= 180-70= 110.

Answer:

no

Step-by-step explanation:

I dont know how to explain but I did the work and it was clearly not a right angle

Answer:

4035 grams

Step-by-step explanation:

Answer:

the median is the middle number find the middle number of these and there's your answer

Answer:

1420 is the Median

Step-by-step explanation:

Answer:

(2,3)

Step-by-step explanation:

4(3)-(2)=10

12-2=10

The answer is (2,3)

Answer:

9?

Step-by-step explanation:

Sorry I don't know I think its 9 though

Answer:

y=2x

y=-x

d=0

Step-by-step explanation:

sorry iam not sure i just tray to help

Answer:

[tex] {3}^{81}[/tex] is bigger.

Step-by-step explanation:

[tex] {9}^{27} = ( {3}^{2} )^{27} = {3}^{2 \times 27} = {3}^{54} \\ [/tex]

If we compare the exponents of [tex] {3}^{54}[/tex] and [tex] {3}^{81}[/tex] it can be concluded that:

[tex] {3}^{81}[/tex] > [tex] {3}^{54}[/tex]

Step-by-step explanation:

The given quadratic equation is :

[tex]13x^2 +1 = -10x\\\\or\\\\13x^2+10x+1=0[/tex]

The formula to solve a quadratic equation is :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put a = 13, b = 10 and c = 1

So,

[tex]x=\dfrac{-10\pm \sqrt{10^2-4(13)(1)} }{2(13)}\\\\x=-0.118, -0.651[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

d

Step-by-step explanation:

Answer:

y = 1/4x + 4

Step-by-step explanation:

Answer:

the answer is 1.5 x 10-2 that's what I got

Answer:

28 hotdogs were sold and 80 sodas were sold.

'-''-'--'-'-'--''--'-'--'

Answer:

y = 2^{x}

Step-by-step explanation:

Given the above data for x and y.

From the algebraic expression;

y = 2^{x}

We can deduce that the value of y is equal to two (2) raise to the power of x.

When x = 1, y = 2

y = 2^{x}

y = 2^{1}

y = 2

When x = 2, y = 4

y = 2^{x}

y = 2^{2}

y = 4

When x = 3, y = 8

y = 2^{x}

y = 2^{3}

y = 8

The above calculations can be used to determine the other values of y with respect to x.

Force is a vector quantity, and a force can be resolved into its components to get the effect of the force.

The responses are;

Reasons:

a) The force with which the person is pulling the railroad car, F = 310 N

The vector force on the rope [tex]\vec {v}_{rope}[/tex] = 310 × cos(25°)·i + 310 × sin(25°)·j

Which gives;

The component of the vector acting along the railroad, towards the right is the i component

Therefore, the force the person exerts toward the right while trying to move the car is approximately

b) The direction of the rope of the second person, θ = 18°

The force required to get the railroad car moving = 620 N

The force the second person has to exert to the right is therefore;

F × cos(18°) = 620 - 310 × cos(25°)

Therefore;

[tex]\displaystyle F = \mathbf{\frac{620 - 310 \times cos(25^{\circ})}{ cos(18^{\circ})}} \approx 356.49[/tex]

The force the second person must exert in the given direction, is therefore;

Learn more here:

https://brainly.com/question/24596114

Answer:

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.

This means that [tex]\mu = 30, \sigma = 6[/tex]

5 consecutive weekdays.

This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]

What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?

This is 1 subtracted by the pvalue of Z when X = 35.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{35 - 30}{2.6832}[/tex]

[tex]Z = 1.86[/tex]

[tex]Z = 1.86[/tex] has a pvalue of 0.9686

1 - 0.9686 = 0.0314

0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount

Answer:

27

Step-by-step explanation:

45 x 45 - 36 x 36 = 729   the square root of 729 is 27

Answer:

a = 27 m is the answer.

Step-by-step explanation:

a = ?

b = 36 m

c = 45 m

According to the Pythagoras theorem,

a² + b² = c²

a² + 36² = 45²

a² + 1296 = 2025

a² = 2025 - 1296

a² = 729

a = 27 m

∴ a = 27 m is the length of the missing leg.

Answer:

sorry where is the parallelogram

Answer:

your question is imcomplete

Step-by-step explanation:

Answer:

A) Decreasing

Step-by-step explanation:

By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.

Answer:

decreasing

Step-by-step explanation:

Answer:

391,248 dollars

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

E. No, it is not appropriate because the distribution of the population is skewed and the sample size is not large enough to satisfy the condition that the sampling distribution of the sample mean be approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Standard deviation larger than the sample mean means that the distribution is skewed.

By the Central Limit Theorem, when the distribution is skewed, normality is assumed for samples sizes of 30 or higher. In this question, the sample is of 18, which is less than 30, so the hypothesis test is not appropriated, and the correct answer is given by option E.