Wheaties cereal is claimed to have an average of 3 grams of dietary fiber per serving. We want to test this hypothesis and to see whether we believe that is true or that the mean amount of fiber is significantly different from 3 grams. A random sample of 25 servings was taken and it yielded a sample mean of 3.4 grams with the sample standard deviation in the amount of fiber, s = .8 grams.
Assume that software has determined the p-value to be.02.
What would your decision be on this hypothesis test if everything is the same except that we change the level of significance for the test to.01?
Fail to reject the null hypothesis at the 1% level of significance.
Reject the null hypothesis at the 1% level of significance,

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

9514 1404 393

Answer:

  draw the line using a ruler on which you have identified points 2 7/16 inches apart

Step-by-step explanation:

On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.

Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.

Answer:

median is 2

mean is 6.333

Step-by-step explanation:

arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

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Answer:

I just did this on Delta Math lol:

Answer: 155.3 ft

Step-by-step explanation:

Answer:

x = 16.2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 54°

Hypothenus = 20

Opposite = x =?

The value of x can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 54° = x / 20

Cross multiply

x = 20 × Sine 54

x = 20 × 0.8090

x = 16.2

Thus, the value of x is 16.2

Answer:

2+3=5

3+3=6

4+3=7

5+3=8

6+3=9

Step-by-step explanation:

Answer:

But, you didn't ask any question.

Step-by-step explanation:

Remember to post your question next time.

Answer:

To maximize the profits of the company, the subscription price should be raised to $ 22.

Step-by-step explanation:

Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:

f (x) = (48,000 - 2,000x) (20 + x)

X = 48,000 x 20 = 960,000

X = (48,000 - 2,000x1) x (20 + 1)

X = 46,000 x 21

X = 966,000

X = (48,000 - 2,000x2) x (20 + 2)

X = 44,000 x 22

X = 968,000

X = (48,000 - 2,000x4) x (20 + 4)

X = 40,000 x 24

X = 960,000

Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.

No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.

Based on a sample from a population, a confidence interval is a range of values that is likely to include the true value of that population parameter. In statistics, samples are frequently used to calculate population characteristics like the mean or percentage. The estimate could not be precisely equal to the real value of the population parameter, though, as the sample is only a portion of the population.

According to the statement in the issue, there should be between 19.8 and 31.5 unbroken crackers in a bag of a specific size with 95% confidence.

Hence, no, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.

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Answer:

Step-by-step explanation:

area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²

Answer:

Test statistics of 1.455

P-value = 0.0728

Step-by-step explanation:

From the given information:

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}[/tex]

Z = 1.455

We want to test if the customer satisfaction increased significantly(one-tailed test)

Null hypothesis:

[tex]H_o : p= 0.32[/tex]

Alternative hypothesis:

[tex]H_a: p>0.32[/tex]

P-value = P(Z>1.455)

= 0.0728

b) Type II error implies the error of accepting [tex]H_o \ (i.e\ \text{ the null \ hypothesis)}[/tex]when [tex]H_a \ (i.e\ \text{ the alternative \ hypothesis)}[/tex] is true.

This implies inferring that there is no huge improvement in passenger's satisfaction when there is.

c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.

∴ A Smaller value of Type II error will be achieved by a higher type I error.

⇒ 0.10

Answer:

322223

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Elm St. and Oak St. are parallel lines.

Cedar St. is a transversal to the other two streets.

When parallel lines are cut by a transversal, corresponding angles are congruent.

The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.

9x + 61 = 3x + 103

Subtract 3x from both sides.

6x + 61 = 103

Subtract 61 from both sides.

6x = 42

Divide both sides by 6.

x = 7

9x + 61 = 9(7) + 61 = 63 + 61 = 124

3x + 103 = 3(7) + 103 = 21 + 103 = 124

Answer:

The pvalue of Z when X = 104.

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.

What is the probability that, for an adult after a 12-hour fast, x is less than 104?

This is the pvalue of Z when X = 104.

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

[tex]Z = \frac{104 - \mu}{\sigma}[/tex]

[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.

Answer:

1.4

Step-by-step explanation:

Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

Since that they are similar, what you can do is:

3.0/1.2 = 2.5

1.2 * 2.5 = 3.0

0.96 * 2.5 = 2.4 cm

Answer:

[tex](3x - 5)(x - 2) = 3 {x}^{2} - 6x - 5x + 10 \\ = 3 {x}^{2} - 11x + 10[/tex]

Answer:

Step-by-step explanation:

5

9514 1404 393

Answer:

  B.  (4, 5π/3)

Step-by-step explanation:

If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.

The polar coordinates are (4, 5π/3).

Answer:

15

Step-by-step explanation:

Since we're working with fractions, and the thirty ounce bucket is equivalent to 30/30. In order to make this easier, let's use the denominator of 30 for all of the fractions. Now that we've made them all equal, turning 1/10 to 3/30, and 2/5 to 12/30, let's add. 12 + 3 is 15, and 15/30 is half of 30/30. There was 15 ounces, or 1/2 of the tub, left.

Answer:

22.5 cm

Step-by-step explanation:

length times width times height

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

Answer:

Step-by-step explanation:

Answer:

x= 3

Step-by-step explanation:

12 ÷ 4 +3

The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given statement is "four x equals twelve"

According to the given question, translate the phrase into an algebraic expression:

⇒ 4x = 12

Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"

Now the above expression solves for variable x,

⇒ 4x = 12

Divided by 4 into both sides of the above equation,

⇒ 4x / 4 = 12 / 4

⇒ x = 3

Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.

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Answer:

B. Yes, all the conditions are met.

Step-by-step explanation:

According to the question

There is a random sample of 111 people also these people are independent

The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size

And, the number of success in the sample is 93

So, the number of failure would be

= 111 - 93

= 18

So, the 93 and 18 would be higher than 10

Therefore, the option b is correct

Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

y and x are supplementary angles as p is transversal of l and m:

z is same as 86° as vertical angles:

w and z are supplementary angles as g is transversal of l and m: