A dealer advertises that a certain brand of tire averages 50,000 miles of use before needing to be replaced. Testing this claim, an investigator finds that a sample of 19 randomly selected tires from this dealer had an average lifespan of 48,700 miles with a standard deviation of 4,500 miles. Assume tire life spans are approximately normally distributed. At the α = 0.05 level, find if the investigator can prove the dealer is exaggerating the average lifespan of their tires by performing the hypothesis test.

Answer:

Answer is 74 square units

Step-by-step explanation:

I took the quiz.

Answer: n=-5

Step-by-step explanation:

Answer:

N=-5

Step-by-step explanation:

N - 4 = 3n + 6

Add 4 to both sides

n-4+4=3n+6+4

Simplify

n=3n+10

subtract 3n from both sides

n-3n=3n+10-3n

Simplify

-2n=10

Divide -2 from both sides

-2n/-2=10/-2

Simplify

n=-5

Answer:

what problem? i dont see it

Joshua deposited

(a). $12.85 in coins

(b). $77.14 in checks

Linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Joshua deposited checks worth six times the value of the coins he deposited.

Let Joshua deposit the value of coins be x. Then the value of x will be 6x

There is total deposit of $90.

⇒ x + 6x = 90

⇒ 7x = 90

⇒ =$12.85

Therefore,

= $77.14

Hence, he deposit total $12.85 in coins and $77.14 in checks.

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Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800

Also,  1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200

1. Has condition Does not have condition totals  = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

that is Probability equal to 0.01 or 1%.

When we solve the equation, we find that there are 26 seats in the theatre. Option C

How do we form and solve an equation from the given scenario?

We will consider the number of seats in the theatre as x.

The total cost of renting the theatre and the seats is $520 for the rental plus $30 × the number of seats should be expressed as 30x.

If every seat is sold, the total income from selling the tickets would be $50 × the number of seats is expressed as (50x)

The equation becomes

520 + 30x = 50x

520 = 50x - 30x

520 = 20x

x = 520/20

x = 26

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