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3 years ago

Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

1 answer:

6 0

Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11

Therefore, the integers are 11 and 12.

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000

valina [46]

Answer: 61,750 miles

Step-by-step explanation:

Given : The p-value of the tires to outlast the warranty = 0.96

The probability that corresponds to 0.96 from a Normal distribution table is 1.75.

Mean : $\mu=60,000\text{ miles}$

Standard deviation : $\sigma=1000\text{ miles}$

The formula for z-score is given by : -

$z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750$

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.

3 0

2 years ago

Ber [7]

Answer:

2/1

Step-by-step explanation:

5 0

2 years ago

What is the negative reciprocal of 2

Zinaida [17]

Answer:

- $\frac{1}{2}$

Step-by-step explanation:

The reciprocal of a number n is $\frac{1}{n}$

The negative reciprocal is the negative of this, thus

reciprocal of 2 is - $\frac{1}{2}$

3 0

3 years ago

How many times larger 8,000 than 8

Alexeev081 [22]

8000 is 1000 times larger than 8

5 0

2 years ago

Change to 2/5 to hundredths

snow_tiger [21]

Answer:

40/100

Step-by-step explanation:

100/5 = 20

2/5 x 20 = 40/100

3 0

3 years ago

Read 2 more answers