How many 1/3 cup servings are in 3/4 cup of milk

Answer:

The test statistic is t = 3.24.

Step-by-step explanation:

We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.

This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Randomly select 10 cars

This means that [tex]n = 10[/tex]

The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.

This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]

Calculate the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]t = 3.24[/tex]

The test statistic is t = 3.24.

Answer:

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

Step-by-step explanation:

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.

Mean of 76503, standard deviation of 8850.

This means that [tex]\mu = 76503, \sigma = 8850[/tex]

a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?

This is 1 subtracted by the pvalue of Z when X = 100000. So

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

[tex]Z = \frac{100000 - 76503}{8850}[/tex]

[tex]Z = 2.66[/tex]

[tex]Z = 2.66[/tex] has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

Answer:

192 km²

Step-by-step explanation:

Surface Area of the triangular prism = 2(Base Area) + Perimeter of Base*height of the prism

✔️Base Area = ½*bh

b = 6 km

h = 8 km

Base area = ½*6*8 = 24 km²

✔️Perimeter of base = 6 + 8 + 10 = 24 km

✔️Height of prism = 6 km

Plug in the values into the equation:

Surface area = 2(24) + 24*6 = 48 + 144

Surface area = 192 km²

Trig identity are written in term of cosine, sine and tangent, he value of cosθ if the value of sinθ is 9/41 is 40/41

Given the following parameters

sinθ = 9/41

According to the SOH CAH TOA identity

sinθ = opposite/hypotenuse

Determine the adjacent sides

a= √41² - 9²

a = √ 1600

a = 40

Determine the value of cosθ

cosθ = adjacent/hypotenuse

cosθ = 40/41

Hence the value of cosθ if the value of sinθ is 9/41 is 40/41

Learn more on trigonometry identity here:https://brainly.com/question/7331447

#SPJ1

Answer:

-40/41

Step-by-step explanation:

Answer:

Well, the number 595 is exceptionally larger. You would be able to tell by simply subtracting 595 and 5 and you would get 590 leaving you with answer. 595 is greater

Step-by-step explanation:

Answer:

D. -3

Step-by-step explanation:

Sana nakatulong

Answer:

56

Step-by-step explanation:

25% = 14

Therefore,

25%*4 = 14*4

100% = 56

Answer:

45

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Range of a function is defined by the set of y-values (output values).

From the given graph,

Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)

Therefore, Range of the given exponential function will be y > -1

Option A will be the correct option.

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Height of a cylinder [tex](h)=8[/tex] inches

Volume of a cylinder[tex]=400[/tex] cubic inches

Let [tex]r[/tex] denotes radius of a cylinder.

Volume of a cylinder [tex]=\pi r^2 h[/tex]

[tex]400=\frac{22}{7}r^2 (8)[/tex]

[tex]r^2=15.9\\r=3.99[/tex]

So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Find out more information about cylinder here:

https://brainly.com/question/3692256?referrer=searchResults

Answer:

2. 7.6

3. .057

4. Nine and three tenths

5. Forty two hundredths

6. Ninety two thousandths

Step-by-step explanation:

Answer:

1. 0.16

2. 7.6

3. 0.057

4. nine and three tenths

5. forty two hundredths

6. ninety two thousandths

I hope this helped

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

Answer:

I can't see the options, so i will find all the asymptotes.

We have the function:

[tex]f(x) = \frac{x^4 - 4*x^2 + x}{-2*x^4 + 18*x^2}[/tex]

First, we can graph this using a graphing tool, the graph can be seen below.

In the graph, we can see that when we approach x = 0 from the left, f(x) goes to negative infinity, while if we approach x = 0 from the right, f(x) goes to infinity.

This can be written as:

[tex]\lim_{x \to 0_-} f(x) = - \infty \\[/tex]

and:

[tex]\lim_{x \to 0_+} f(x) = + \infty \\[/tex]

A similar thing can be seen at x = 3, when we approach from the left f(x) goes to infinity, while if we approach from the left, f(x) goes to negative infinity.

Then:

[tex]\lim_{x \to 3_-} f(x) = \infty \\\\\lim_{x \to 3_+} f(x) = - \infty \\[/tex]

For x = -3 we can see that when we approach from the left, f(x) goes to negative infinity, while if we approach from the right, f(x) goes to infinity.

Then:

[tex]\lim_{x \to -3_-} f(x) = - \infty \\\\\lim_{x \to -3_+} f(x) = + \infty \\[/tex]

We also can see that as x goes to negative infinity or positive infinity, f(x) tends to -0.5

Then:

[tex]\lim_{x \to \infty} f(x) = -0.5 \\ \lim_{x \to -\infty} f(x) = -0.5[/tex]

So you need to check the options that match with some of the given tendencies.

Answer:

b,c,d

Step-by-step explanation:

edg 21 ^u^

The correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,

The correct hypotheses for testing the linear relationship between two variables can be stated as:

H0: β1 = 0 (there is no linear relationship between the number of contacts and the number of texts sent)

Ha: β1 ≠ 0 (there is a linear relationship between the number of contacts and the number of texts sent)

Therefore, the correct option for the hypotheses for the test is a. H0: β1 = 0 Ha: β1 ≠ 0

Learn more about statistics here:

https://brainly.com/question/15236063

#SPJ2

Answer:

okay sure Barnyst comingup

Step-by-step explanation:

Answer:

12345678910111213141516171819202122232425262728293031323334353637383940142434445446

Step-by-step explanation:

my name jeff

Answer:

A

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

12/16

divide both by 4

if thats even what what you needed

Answer:

[tex]f(3) = -16[/tex]

Step-by-step explanation:

Given

[tex]f(x)= - 4x-4[/tex]

[tex]g(x)= 4x^2 + 4x + 2[/tex]

[tex]h(x)= 3x^2 - 3[/tex]

Required

[tex]f(3)[/tex]

We have:

[tex]f(x)= - 4x-4[/tex]

Substitute [tex]x = 3[/tex]

[tex]f(3) = -4 * 3 - 4[/tex]

[tex]f(3) = -12 - 4[/tex]

[tex]f(3) = -16[/tex]

Hence:

[tex]f(3) = -16[/tex]

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Answer:

24 gallons

Step-by-step explanation:

set up a proportion and cross-multiply:

g = # gallons

192/4 = g/0.5*

4g = 96

g = 24

*30 minutes = 0.5 hours

Answer:

I think the answer is c

explanation:

The function that is decreasing on the sale interval as the function graphed in the attached image is " F(x) = -x² + 4x -4.

When the y-value of a function is decreasing as the x-value goes up, that function is said to be a decreasing function.

That is  when x1 < x2 then f(x1) ≥ f(x2)

Let F(x) = 4

Thus

f(4) = -(4)² + 4(4) -4

=  16 + 16 - 4

= 28

Now, let F(x) = 2

Thus

f(2) = -(2)² + 4(2) -4

= 4 + 8 - 4

= 8

Note that X1 = 4 and X2 = 2

Thus  x1 < x2 then f(x1) ≥ f(x2).

Hence Option C is the decreasing function.

Learn more about decreasing functions at;
https://brainly.com/question/13157110
#SPJ1

Answer:

∠A = 58°

Step-by-step explanation:

all triangles contain 180°

180° - 149° = 31°

x + 63° + x + 96° + 31° = 180°

combine like terms:

2x + 190° = 180°

2x = -10°

x = -5°

∠A = -5° + 63° = 58°

9514 1404 393

Answer:

  (8, 1)

Step-by-step explanation:

Let x represent the number of hats sold by each seller.

__

Kenny's cost: $3

Kenny's revenue: $0.50x

Kenny's profit = revenue - cost: y = 0.50x -3

__

Ben's cost: $1

Ben's revenue: $0.25x

Ben's profit = revenue - cost: y = 0.25x -1

__

The profit and sales will be the same when the same (x, y) values satisfy both profit equations.

  y = 0.50x -3

  y = 0.25x -1

  0.50x -3 = 0.25x -1 . . . . . substitute for y

  0.25x = 2 . . . . . . . . . . . add 3-0.25x

  x = 8 . . . . . . . . . . multiply by 4

  y = 0.25x -1 = 2 -1 = 1 . . . using Ben's profit equation

The profit and sales will be the same for ...

  (hats, profit) = (8, 1)

Answer:

x = 4

Step-by-step explanation:

7.5 + 7.5 = 15

[tex]\frac{x}{8}[/tex] = [tex]\frac{7.5}{15}[/tex]

cross multiply

15x = 60

divide

x = 4

or

since the bigger one is 2x smaller

8/2 = 4

Answer:

B I'm pretty sure..............

Answer:

8r.

Step-by-step explanation:

If we substitute 3 into all of these equations, we get

8(3) which equals 24

6(3) which equals 18

9(3) which equals 27

7(3) which equals 21

8r is the one that equals 24 when 3 is substituted.