When peanuts are packaged in their shells, most shells have two peanuts inside, but some have three and some only have one. A quality control inspector wants to determine if more than 10% of all shells contain just one peanut. If the inspector were to conduct a hypothesis test for p, the proportion of shells with just one peanut, what would be the appropriate pair of hypotheses for the inspector to use? H0: p = 0.1 and Ha: p ≠ 0.1 H0: p = 0.1 and Ha: p < 0.1 H0: p = 0.1 and Ha: p > 0.1 H0: p < 0.1 and Ha: p > 0.1 H0: p > 0.1 and Ha: p = 0.1

Answer:

I this its the second one I'm not sure .

Answer:

3 ; 4/3

Step-by-step explanation:

x + 4(1/x) = 13/3

x + 4/x = 13/3

x^2 -13/3x + 4 = 0

3x^2 - 13x + 12 = 0

Δ = 169 - 144 = 25

x1 = (13 + 5)/6 = 3

x2 = (13-5)/6 = 4/3

Answer:

4/3 or 3

Step-by-step explanation:

Let, the number be x.

According to the question,

x+4×1/x=13/3

or, x+4/x=13/3

or, x^2+4/x=13/3

or, 3(x^2+4)=13x

or, 3x^2+12=13x

or, 3x^2-13x+12=0

or, 3x^2-(4+9)x+12=0

or, 3x^2-4x-9x+12=0

or, x(3x-4)-3(3x-4)=0

or, (3x-4)(x-3)=0

Either, Or,

3x-4=0 x-3=0

or, 3x=4 .•. x=3

.•. x=4/3

So, the possible numbers are 4/3 or 3.

Answer:

where's the data table?

Answer:

the answer is 40.

Step-by-step explanation:

[tex]t \: = \: \frac{600}{9 + 6} = 40[/tex]

Answer:

The answer is 8

Answer:

16 inches

Step-by-step explanation:

First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.

Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.

Answer:

Where is the picture of the figure

Step-by-step explanation:

This one takes time to type all the math work.

Let me see.

There are two triangles here.

They both have the same area.

A = (1/2)(base)(height) times 2

A = (1/2)(42)(56) times 2

A = 1,176 times 2

A = 2,352 inches^2.

We also have three rectangles. We need to find the area of each rectangle individually.

Area of bottom rectangle = 42 times 72 or 3,024 inches^2.

Area of back rectangle = 56 times 72 or 4,032 inches^2.

Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.

We now add all the areas together to find the total area of the entire figure.

Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2

Total area = 14,448 inches^2

Done!

Did you understand what was done here?

Answer:

16.44 would be your right answer

Step-by-step explanation:

Answer:

46.44 cm 3

Step-by-step explanation:

Area of the composite figure, which is not drawn to scale is,

⇒ 488 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the area of the composite figure, which is not drawn to scale.

Now, The figure is made by a rectangle and a triangle.

We know that;

Area of rectangle = Lenght x Width

Hence, We get;

Area of rectangle = Lenght x Width

Area of rectangle = 22 x 17

Area of rectangle = 374 cm²

And, Area of triangle = 1/2 × Height × Base

⇒ Area of triangle = 1/2 × (22 - 10) × 19

⇒ Area of triangle = 1/2 × 12 × 19

⇒ Area of triangle = 114 cm²

Thus, Area of the composite figure, which is not drawn to scale is,

⇒ 374 + 114 cm²

⇒ 488 cm²

Learn more about the triangle visit;

brainly.com/question/1058720

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Answer:

There are 220 boys in the course.

Step-by-step explanation:

If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.

Answer:

220 boys

Step-by-step explanation:

boys:girls

5:4

396 total

(5x44)+(4x44)=396

220+176=396

220 boys

Answer:

1:[tex]\sqrt{3}[/tex];2

Step-by-step explanation:

those are the side length ratios

Answer:

1:√3:2

Step-by-step explanation:

Brainliest please

p-value is a measure of the probability that an observed difference could have occurred just by random chance.

Answer:

9.8

Step-by-step explanation:

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {5}^{2} + {b}^{2} = {11}^{2} [/tex]

[tex] {b}^{2} = {11}^{2} - {5}^{2} [/tex]

[tex] {b}^{2} = 121 - 25[/tex]

[tex] {b}^{2} = 96[/tex]

[tex] \sqrt{b} = \sqrt{96} [/tex]

[tex]b = 9.78[/tex]

Answer:

The sample size 'n' = 72,030

Step-by-step explanation:

Step(i):-

Given that the Estimate Error = 0.013

Given that the standard deviation of the Population = 1.5

The estimated error is determined by

[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]

Step(ii):-

Given that the Level of significance = 0.98 or 0.02

Z₀.₀₂ =   2.326

The estimated error is determined by

        [tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]

   [tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]

      [tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]

Squaring on both sides, we get

    n =  72,030

Final answer:-

The sample size 'n' = 72,030

Answer:

4 + 3i

Step-by-step explanation:

i = sqrt(-1)

sqrt(-9) = 3 * sqrt(-1) = 3i

The 4 remains the same

4 + 3i

Answer:

Step-by-step explanation:

4+√(-9) = 4 + √9√(-1)

= 4 + 3i

Answer:

26.5

Step-by-step explanation:

I rounded it up. Basically use pythagorean theorem.

Answer:

B, neither

Step-by-step explanation:

21 is not a perfect square or perfect cube.

Answer:

b

Step-by-step explanation:

There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2

Answer:

4.6

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

5/12 * _ = 1

0.41666666666 x 2.4 = 1

9514 1404 393

Answer:

  $131,600

Step-by-step explanation:

If the listing price is P, then the net is the difference between that and all of the various costs.

  P -(5%×P) -94,000 -16000 = 15,000

  0.95P = 125,000

  P ≈ 131,600 . . . . . . divide by 0.95

The minimum listing price must be $131,600.

Answer:

675 in³

Step-by-step explanation:

The volume (V) of a cuboid is calculated as

V = lbh ( lis length, b is breadth and h the height )

Here l = 15, b = 5 and h = 9 , then

V = 15 × 5 × 9 = 675 in³

Answer:

a. We fail to reject the null hypothesis

b. p > 0.01

c. The test result is not statistically significant

d. There not is enough statistical evidence to suggest that regular exercise improves academic achievement

Step-by-step explanation:

No. Physical Exercise (X₂); 3.75, 2.74, 3.42, 1.67, 3, 3.25, 2.65

Physical Exercise (X₁); 4.00, 2.67, 3.65, 2.11, 3.21, 3.60, 2.80

GPAs Pair number; 1, 2, 3, 4, 5, 6, 7

The null hypothesis, H₀; μ₁ ≤ μ₂

The alternative hypothesis, Hₐ; μ₁ > μ₂

From the data, we have;

[tex]\overline d[/tex] ≈ 0.222857

Where;

d = X₁ - X₂

[tex]\overline d = \dfrac{1}{n} \times \sum_{i = 1}^{n} d_i[/tex]

Similarly, we have;

[tex]s_d^2=\dfrac{\sum \left (d-\overline d \right )^{2} }{n - 1}[/tex]

From which we get;

[tex]s_d[/tex] ≈ 0.160905

The critical-t at n - 1 = 7 - 1 = 6 degrees of freedom for α = 1% = 0.01, is given as follows;

[tex]t_{\alpha /2}[/tex] = [tex]t_{(0.005, \, 6)}[/tex] = 3.707

The test statistic, t = [tex]\overline d[/tex]/([tex]s_d[/tex]/√n)

∴ t = 0.222857/(0.160905/√7) ≈ 3.664

The test statistic , t ≈ 3.664

Therefore, given that the test statistic is smaller than the critical-t,

b. The p-value estimate is p > 0.01

c. The test result is not statistically significant

d. The test result can be reported in a literature as that there is not enough statistical evidence to reject the null hypothesis, therefore, there not is enough statistical evidence to suggest that regular exercise improves academic achievement

Answer:

4 , 12 divided by 3 equals 4

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.

Answer:

For the restaurant that charges 95 cents, the z-score is -4.29.

For the restaurant that charges $1, the z-score is -3.57.

For the restaurant that charges $1.35, the z-score is 1.43

Step-by-step explanation:

Z-score:

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.

The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.

This means that [tex]\mu = 1.25, \sigma = 0.07[/tex]

Restaurant that charges 95 cents:

The z-score is found when X = 0.95. So

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

[tex]Z = \frac{0.95 - 1.25}{0.07}[/tex]

[tex]Z = -4.29[/tex]

For the restaurant that charges 95 cents, the z-score is -4.29.

Restaurant that charges $1:.

X = 1

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

[tex]Z = \frac{1 - 1.25}{0.07}[/tex]

[tex]Z = -3.57[/tex]

For the restaurant that charges $1, the z-score is -3.57.

Restaurant that charges $1.35:

X = 1.35

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

[tex]Z = \frac{1.35 - 1.25}{0.07}[/tex]

[tex]Z = 1.43[/tex]

For the restaurant that charges $1.35, the z-score is 1.43

Answer:

1° and 89°

Step-by-step explanation:

(x + 88°) + x = 90°

2x + 88 = 90

2x = 2

x = 1°

Answer:

what's that (✷‿✷)

shsyhwvqqhsidjsbshsb

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32units