Find the value of f(4) for the function

Answer:

28 hotdogs were sold and 80 sodas were sold.

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

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:

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:

Step-by-step explanation:

Correct choice is D

Answer:

d

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

$25.35

Step-by-step explanation:

You just take off the percentage from the original price to get your final answer.

Hope this helps c:

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:

angle klj and angle poq :)

Step-by-step explanation:

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:

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 :)

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:

exposed is another word for endangered

Answer:

(2,3)

Step-by-step explanation:

4(3)-(2)=10

12-2=10

The answer is (2,3)

Answer:

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

Answer:

I hope this helps a little bit.

It Is Not Fake

It Got Answers Promise

Answer:

y = 1/4x + 4

Step-by-step explanation:

Answer:

9?

Step-by-step explanation:

Sorry I don't know I think its 9 though

Answer:

1

Step-by-step explanation:

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:

391,248 dollars

Step-by-step explanation:

Answer:

1: 107°

2: 73°

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

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:

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:

sorry where is the parallelogram

Answer:

your question is imcomplete

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:

20

Step-by-step explanation:

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:

x=6.5

Step-by-step explanation:

I got the x- intercept as 6.5 because I found the x value when y equals 0.

0=2+2x-15

Next, I added 2+-15 and got -13.

0=2x-13

Then, I added 13 to both sides so that I could have x by itself.

13=2x

Next, I divided 2 on both sides so I could find the value of x.

6.5= x

In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.