A shipping firm suspects that the mean life of a certain brand of tire used by its trucks is less than 35,000 miles. To check the claim, the firm randomly selects and tests 18 of these tires and gets a mean lifetime of 34,200 miles with a standard deviation of 1200 miles. At α = 0.05, test the shipping firm's claim. Round the test statistic to the nearest thousandth.


Step 1) Write the null and alternative hypotheses.






Step 2) State a level of significance α. Determine the critical value and critical region.








Step 3) Compute the test statistic. Use classical approach or P-value approach.










Step4) Compare the critical value with test statistic or P-value with α.







Step5) State the conclusion.

Answer:

161 hope it helps

Step-by-step explanation:

God bless

The profit equation is:

p(x) = -0.5*x^2 + 70x - 200

The domain is:

x ∈ [0, 140], such that x ∈ Z

and the profit is larger for 70 items.

We know that:

Cost equation:

c(x) = 50*x + 200

revenue equation:

r(x) = -0.5*(x - 120)^2 + 7,200

The maximum capacity is 140

Then x can be any value in the range [0, 140]

We want to find the profit equation, remember that:

profit = revenue - cost

Then the profit equation is:

p(x) = r(x) - c(x)

p(x) = ( -0.5*(x - 120)^2 + 7,200) - ( 50*x + 200)

Now we can simplify this:

p(x) =  -0.5*(x - 120)^2 + 7,200 - 50x - 200

p(x) =  -0.5*(x - 120)^2 + 7,000 - 50x

p(x) = -0.5*(x^2 - 2*120*x + 120^2) + 7,000 - 50x

p(x) = -0.5*x^2 + 120x - 7,200 + 7,000 - 50x

p(x) = -0.5*x^2 + 70x - 200

Now we want to answer, what is the domain of p(x)?

The domain is the set of the possible inputs of the function.

Remember that x is in the range [0, 140], such that x should be a whole number, so we also need to add x ∈ Z

then:

x ∈ Z ∧ x ∈ [0, 140]

Then that is the domain of the profit function.

Now we want to see the profit for 70 and 80 items, to do it, just evaluate p(x) in these values:

70 items:

p(70) = -0.5*70^2 + 70*70 - 200 = 2,250

p(80) = -0.5*80^2 + 70*80 - 200 = 2,200

So the profit is smaller for the larger number of items, why does this happen?

You can see that the profit equation is a quadratic equation with a negative leading coefficient, so, as the value of x increases after a given point (the vertex of the quadratic) the profit will start to decrease.

If you want to learn more about quadratic functions, you can read:

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Answer:

0.17189

0.3504

Step-by-step explanation:

For a fair coin ; p = 0.5

1 - p = 0.5

P(x < 4) = p(x = 0) + p(x =1) + p(x = 2) + p(x = 3)

Recall:

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using a calculator to save time:

P(x <4) = 0.00098 + 0.00977 + 0.04395 + 0.11719

P(x < 4) = 0.17189

For a unfair coin :

p = 0.3 ; 1 - p = 1 - 0. 3 = 0.7

P(x ≥ 4) = p(x=4)+p(x =5)+p(x=6)+p(x=7)+p(x=8)+p(x=9) +P(x=10)

Recall:

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using a calculator to save time:

P(x ≥4) = 0.3504

Answer:

L = 1/3 W

Step-by-step explanation:

If you look at the table, you can see that all of the water is divided by three to find the amount of lemon juice. Using the process of elimination, this answer choice is the only one containing the number "3."

Answer:

a) 0.45 hours

b)

P( Ron ) = 7/12

P( sue ) = 4/15

P(Ted ) = 3/20

c)  1.22 hours

Step-by-step explanation:

Ron , sue and Ted

mean values = 1, 1/2 , 1/3  hours

a) determine the expected time until only one student remains

E(x) = 9/20 = 0.45 hours

b) Probability that each student is the last student left

P( Ron ) = 7/12

P( sue ) = 4/15

P(Ted ) = 3/20

C) Time until all students are gone

= 146 / 120 =  1.22 hours

attached below is the detailed solution

This question is based on the concept of probability.Therefore, the answers are as follows:

(a) 0.45 hours

[tex]\bold{(b) \, P(Ron) = \dfrac{7}{12} ,P (Sue) = \dfrac{4}{15} ,P(Ted) = \dfrac{3}{20}\beta}[/tex]  

(c)  1.22 hours

Given:

The amount of time they will stay is exponentially distributed with means 1, 1/2, and 1/3 hours.

According to the question,

The amount of time they will stay is exponentially distributed with means 1, 1/2, and 1/3 hours.

(a) The expected time until only one student remains,

[tex]E(X) = \dfrac{9}{20} = 0.45 \,hours[/tex]

(b)  Now, find the probability they are the last student left,

[tex]P(Ron) = \dfrac{7}{12} \\P (Sue) = \dfrac{4}{15} \\P(Ted) = \dfrac{3}{20}[/tex]

(c) The expected time until all three students are gone is,

[tex]= \dfrac{146}{120} \\\\= 1.22 hours[/tex]

Therefore, the answers are as follows:

(a) 0.45 hours

[tex](b) P(Ron) = \dfrac{7}{12} ,P (Sue) = \dfrac{4}{15} ,P(Ted) = \dfrac{3}{20}\beta[/tex]  

(c)  1.22 hours

For more details, prefer this link:

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Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

Answer:

Since we know that the sum of the two angles equal 180, we can add them together to equal 180 degrees.

2x+10+x+26=180

Combine like terms.

3x+36=180

Subtract 36 from both sides.

3x=144

Divide 3 from both sides.

x=48

Hope this helps :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

It would be b if im wrong Im so sorry <>.<> I tried my best to do everything or get everything right and I did the math~ also have skittles and m&m's~ ∨

Answer:

26.

Step-by-step explanation:

Take 25 and subtract 12 from it.

25 - 12 = 13

then take 13 and multiply it by 2.

13 x 2 = 16

Answer:

12 years old

Step-by-step explanation:

7 + 5 = 12

T + 5

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8. 96

9. ?

10. 1

Step-by-step explanation:

I don't think your showing the whole image. I don't see the goal.

Answer:

±[tex]2\sqrt{6}i[/tex]

Step-by-step explanation:

±√24

±√-1 √24

±√24 i

±2√6 i

Answer:

edf

Step-by-step explanation:

Answer:

C -1/2

Step-by-step explanation:

midpoint = sum of end points divide by 2.

here, midpoint = (-3+2)/2

=(-1/2)

Answer:

- 1 / 2

Step-by-step explanation:

→ Add the 2 numbers together

-3 + 2 = -1

→ Divide answer by 2

- 1 ÷ 2 = - 1 / 2 or - 0.5

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9

Answer:

154 because we multiply the 11in and 14 in to get 154 inches so h = 154 inches

Answer:

M>5

Step-by-step explanation:

Lets just rewrite the equation

8m>40 is the same as m(8)>40

lets divide

8m / 8>40/8

m>5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

b

Step-by-step explanation:

r=d/2=11.4/2=5.7

slant surface area=2πr*h=11.4×3.14×4.4=157.5024 cm^2

area of base and top=2(πr²)=2×3.14×(5.7)²=204.0372 cm²

total surface area=157.5024+204.0372=361.5396=361.5 sq. cm

Answer:

a

Step-by-step explanation:

the volume of a square pyramid is V=1/3bxh

Answer:

Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k

Step-by-step explanation:

Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k

Answer:

[tex]y = 56.6208[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

[tex]cos(39) = \frac{44}{y}[/tex]

i.e.

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

Make y the subject

[tex]y = \frac{44}{cos(39)}[/tex]

[tex]y = \frac{44}{0.7771}[/tex]

[tex]y = 56.6208[/tex] -- approximated

Answer:

In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.

Step-by-step explanation:

Answer:

shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.

Answer:

m= 9

Step-by-step explanation:

63/7

Answer:

The value of each *m* is 9

Step-by-step explanation:

Mark Brainly

Answer:

The answer is B because left and down are negative