A potato chip company makes potato chips in two flavors, Regular and Salt & Vinegar. Riley is a production manager for the company who is trying to ensure that each bag contains about the same number of chips, regardless of flavor. He collects two random samples of 10 bags of chips of each flavor and counts the number of chips in each bag. Assume that the population variances of the number of chips per bag for both flavors are equal and that the number of chips per bag for both flavors are normally distributed. Let the Regular chips be the first sample, and let the Salt & Vinegar chips be the second sample. Riley conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that both flavors have the same number of chips in each bag. (a) H0:μ1=μ2; Ha:μ1≠μ2, which is a two-tailed test. (b) t≈1.44 , p-value is approximately 0.167 (c) Which of the following are appropriate conclusions for this hypothesis test? Select all that apply. Select all that apply:

Answer:

[tex]\frac{x^2}{169} +\frac{y^2}{25}=1[/tex]

If we compare this to the general expression for an ellipse given by:

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]

We can see that the vertex is [tex] V=(0,0)[/tex]

And we can find the values of a and b like this:

[tex] a=\sqrt{169}=13, b=\sqrt{25}=5[/tex]

in order to find the foci we can find the value of c

[tex] c =\sqrt{169-25}=\sqrt{144}=12[/tex]

The two focis are (12,0) and (-12,0)

The convertices  for this case are: (13,0) and (-13,0) on the x axis

And for the y axis (0,5) and (0,-5)

Step-by-step explanation:

For this problem we have the following equation given:

[tex]\frac{x^2}{169} +\frac{y^2}{25}=1[/tex]

If we compare this to the general expression for an ellipse given by:

[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2}=1[/tex]

We can see that the vertex is [tex] V=(0,0)[/tex]

And we can find the values of a and b like this:

[tex] a=\sqrt{169}=13, b=\sqrt{25}=5[/tex]

in order to find the foci we can find the value of c

[tex] c =\sqrt{169-25}=\sqrt{144}=12[/tex]

The two focis are (12,0) and (-12,0)

The convertices  for this case are: (13,0) and (-13,0) on the x axis

And for the y axis (0,5) and (0,-5)

Answer:

Step-by-step explanation:

To find Angle B we use sine

sin∅ = opposite / hypotenuse

From the question

AB is the hypotenuse

AC is the opposite

So we have

sin B = AC / AB

sin B = 4/9

B = sin-¹ 4/9

B = 26.38

B = 26° to the nearest hundredth

Hope this helps you

Answer:

[tex]\boxed{ \sf 26.39}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions.

[tex]\sf sin(\theta )=\frac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(?)=\frac{4}{9}[/tex]

[tex]\sf ?=sin^{-1}(\frac{4}{9} )[/tex]

[tex]\sf ? =26.38779996...[/tex]

Answer:

The first choice.

Step-by-step explanation:

When you are using y≥, then this means that the positive area needs to be shaded, but as you can see, the negative area is shaded, so the symbol '≤' would best fit this.

Now, that we see that, we can eliminate the 2nd and 4th option.

Now, looking at points (0, 2) and (2, 3), the slope is 1/2 <-- rise over run.

So, the first option will be correct!

Hope this helps:)

Answer:

You have selected the correct one!

Step-by-step explanation:

If there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

Given that Sophie discovered a dress she liked that was $15 off. The dress cost $96.

The sale price of the dress is obtained by subtracting the original price from the price discount on the dress,

= $96 - $15

=$  $81

Thus, if there is $15 off on the dress and the original price of the dress was $96 the sale price of the dress will be $81.

Learn more about the application of subtraction here:

brainly.com/question/15345330

#SPJ2

Answer:

487 divide by 14

Step-by-step explanation:

have a nice day

Answer:

IJ= 4.98

Step-by-step explanation:

EF = 12

KF = 6

LF = 7.8

LK = sqrt(7.8^2-6^2) = 4.98

IJ = LK (4.98)

Answer:

B. The fact that two variables are strongly correlated does not in itself imply a​ cause-and-effect relationship between the variables.

Step-by-step explanation:

The term "correlation does not imply causation", simply means that because we can deduce a link between two factors or sets of data, it does not necessarily prove that there is a cause-and-effect relationship between the two variables. In some cases, there could indeed be a cause-and-effect relationship but it cannot be said for certain that this would always be the case.

While correlation shows the linear relationship between two things, causation implies that an event occurs because of another event. So the phrase is actually saying that because two factors are related, it does not mean that it is as a result of a causal factor. It could simply be a coincidence. This occurs because of our effort to seek an explanation for the occurrence of certain events.

Answer: B. The fact that two variables are strongly correlated does not in itself imply a​ cause-and-effect relationship between the variables.

Step-by-step explanation:

Answer:

so what's the question

Answer:

Step-by-step explanation:

Choice d. is correct

Answer:

D

Step-by-step explanation:

Answer:

add up c

Step-by-step explanation:

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is :

Confidence Interval ( 11.76, 12.84).

Step-by-step explanation:

The formula for a Confidence Interval is:

C. I = μ ± z × σ/√n

Where

z = z score

μ is the sample mean

σ is the sample standard deviation

n = number of samples

We were given a 95% confidence interval

The z score for a 95% confidence interval = 1.96

μ = 12.3 units

σ = 1.9

n = 47 students

C. I = μ ± z × σ/√n

C.I = 12.3 ± 1.96 × 1.9/√47

C.I = 12.3 ± 0.5432012283

Hence,

Confidence interval = 12.3 ± 0.5432012283

12.3 - 0.5432012283 = 11.756798772 Approximately ≈ 11.76

12.3 + 0.5432012283 = 12.843201228

Approximately ≈ 12.84

Therefore, the 95% confidence interval for the average number of units that students in their college are enrolled in is :

Confidence Interval ( 11.76, 12.84).

Answer:

x = -8, 8

Step-by-step explanation:

Set y = 0 to find the x intercepts

0 = x^2 -64

Add 64 to each side

64 = x^2

Take the square root of each side

±sqrt(64) = sqrt(x^2)

±8  =x

Answer:

second option

Step-by-step explanation:

x / x - 1 + 3x / x + 2

= x(x + 2) / (x - 1)(x + 2) + 3x(x - 1) / (x - 1)(x + 2)

= (x² + 2x) / (x² + x - 2) + (3x² - 3x) / (x² + x - 2)

= (4x² - x) / (x² + x - 2)

Answer:

R'(- 2, 4 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

R(4, - 2 ) → R'(- 2, 4 )

Answer:

R'(- 2, 4 )

Step-by-step explanation:

I got it right on edg

Hi,

f°g means :  apply first g then f . so calculate  "g" and then use result as "x" in f.  

g°f  means :   you apply first  f then g  

so :  f°g =    2(3x²-x) -5  =   6x²-2x- 5

To improve in math, you need practice. have a try with  g°f  :)

give the answer in comments, and I will tell you if you are correct.

good luck.

Answer:

Step-by-step explanation:

[tex]\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}\\m=6[/tex]

Answer:

75

Step-by-step explanation:

In this case, you just need to use the distance formula of AC and DB.

Using the distance formula, we find that AC= 15, and DB=10

Therefore, area= 150/2=75

Answer:

Probability distribution

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. Alternative hypothesis is a statement which we accept or reject based on the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Answer:

A: (2, 11).

Step-by-step explanation:

For an ordered pair to be a solution of an equation, the ordered pair must "fit".

A: (2, 11).

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, (2, 11) is a solution.

B: (3, 13).

13 = 3(3) + 5

13 = 9 + 5

13 = 14

Since 13 is not the same thing as 14, (3, 13) is not a solution.

Since A works but B doesn't, choices C and D are both eliminated. A is your answer.

Hope this helps!

Answer:

The number of passcodes possible is 1,100,000

Step-by-step explanation:

Here , we want to calculate the number of different possible passcodes.

For the five digit code,

each number in the code has a possibility of choosing from the digits 0 to 9, so this means that each of the numbers in the code has 10 options.

So for a five digit code, the number of possible choices would be 10 * 10 * 10 * 10 * 10 = 10^5

For a six digit code, the number of possible choice would be 10 * 10 * 10 * 10 * 10 * 10 * 10 = 10^6

So for 5 or 6 digits code, the number of possible choices would be;

10^5 + 10^6 = 10^5(1 + 10)

= 11(10^5) = 1,100,000

The number of passcodes possible is 1,100,000

For the five-digit code, the no of possible choices should be [tex]10^5[/tex]

For the six-digit code, the no of possible choices should be [tex]10^6[/tex]

So, the possible choices should be

[tex]10^5 + 10^6 = 10^5(1 + 10)\\\\= 11(10^5)[/tex]

= 1,100,000

Hence, The number of passcodes possible is 1,100,000

Learn more about code here: https://brainly.com/question/24418415

Explanation:

1. CS ≅ HR, ∠CHS ≅ ∠HCR, ∠CSH ≅ ∠HRC — given

2. ∆CRH ~ ∆HSC — AA similarity theorem

3. ∠SCH ≅ ∠RHC — corresponding angles of similar triangles are congruent

4. CH ≅ HC — reflexive property of congruence

5. ∆CRH ≅ ∆HSC — SAS congruence theorem

6. CR ≅ HS — CPCTC

Answer:

$15,842

Step-by-step explanation:

We use the Present value formula

Present Value = Future value/(1 + r)ⁿ

r = 6% = 0.06

n = 4 years

Future value = $20,000

Present value = 20,000/(1 + 0.06)⁴

= $15841.873265

≈ $15,842

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

Thus,

answer choice B. Y = 6/4 X is correct.

Hope this helps :)

Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

= 0

For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

Answer:

Step-by-step explanation:

Equation of the line has been given as,

[tex]y=\frac{3}{2}x-5[/tex]

By comparing this equation with the y-intercept form of the equation,

y = mx + b

Slope of the line 'm' = [tex]\frac{3}{2}[/tex]

and y-intercept 'b' = -5

Table for the points to be plotted on a graph will be,

x              y

-4           -11

-2           -6

0            -5

2            -4

4            -3

By plotting y-intercept (0, -5) and any one of the points given in the table we can get the required line.

Answer: actually the answer to this question is (0, -5) and ( 2, -2)

Step-by-step explanation: I just took the test on Plato and got it right :)

Answer:

Option (1)

Step-by-step explanation:

Equation of a line passing through [tex](x_1,y_1)[/tex] having slope 'm' is represented as,

[tex]y-y_1=m(x-x_1)[/tex]

If a line passes through (1, 4) and having slope = 3,

By substituting the values in the equation of the line,

y - 4 = 3(x- 1)

Therefore, equation of the line will be,

y - 4 = 3(x - 1)

Option (1) will be the answer.

Answer:

The standard error of the mean is  [tex]\sigma _{\= x } = 1.581[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  250

      The standard deviation is  [tex]\sigma = 25[/tex]

          The sample mean is  [tex]\= x = 20[/tex]

The standard error of the mean is mathematically represented as

        [tex]\sigma _{\= x } = \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

        [tex]\sigma _{\= x } = \frac{25 }{\sqrt{250} }[/tex]

       [tex]\sigma _{\= x } = 1.581[/tex]

Answer:

Step-by-step explanation:

Hello!

For the rectangle ABCD

AB= DC= 11

BC= AD= 2

Point E lies halfway between AB and CD

The shaded are forms two triangles, I'll refer to the upper triangle as "Triangle one" and the lower triangle will be "triangle 2"

The area of a triangle is calculated as

[tex]a= \frac{bh}{2}[/tex]

b= base

h= height

Triangle 1

b₁= AB= 11

[tex]h_1= \frac{BC}{2}= \frac{2}{2}= 1[/tex]

[tex]a_1= \frac{b_1h_1}{2}= \frac{11*1}{2}= 5.5[/tex]

Triangle 2

b₂= DC= 11

[tex]h_2= \frac{BC}{2}= \frac{2}{2} = 1[/tex]

[tex]a_2= \frac{b_2h_2}{2}= \frac{11*1}{2}= 5.5[/tex]

Now you add the areas of both triangles to get the area of the shaded region:

a₁ + a₂= 5.5 + 5.5= 11

Since point E is halfway to all sides of the rectangle, even tough it doesn't see so, the shaded area is equal to half the area of the rectangle:

area= bh= DC*AD= 11*2= 22

area/2= 22/12= 11

I hope this helps!

Answer:

Increase the sample size.

Step-by-step explanation:

Increasing the sample size is the best way to reduce the likelihood of a type II error.

The type II error occurs when a hypothesis test accepts a false null hypothesis. That is, it fails to reject the null hypothesis that is false.

In such a situation, to increase the power of the test, you have to increase the sample size used in the test. The sampling size has the ability to detect the differences in a hypothesis test.

We have a bigger chance of capturing the difference if the sample size is larger, and it also increases the power of the test.

Answer:

work is shown and pictured