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3 years ago

Prime number between 60 and 80 with the 10’s digit being one less than the 1st digit

Mathematics

1 answer:

erastova [34]3 years ago

8 0

It would be 89.

You can also just look up a list of prime numbers online.

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What is common fraction?

Orlov [11]

a fraction (such as ¹/₂ or ³/₄) in which the numerator and denominator are both integers and are separated by a horizontal or slanted line — compare decimal fraction.

8 0

3 years ago

Read 2 more answers

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

$p \ge 0.01$

4 0

3 years ago

A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Pr

ANEK [815]

Answer: The required fraction = $\dfrac18$

Step-by-step explanation:

Let the required fraction = $\dfrac{p}{q}$

Given: Initial height = 192 inches

Height of ball after second bounce = $\dfrac{p}{q}\times192$

Height of ball after third bounce = $\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}$

After the third bounce it is 3 inches off the ground.

So,

$(\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}$

Hence, The required fraction = $\dfrac18$

5 0

3 years ago

Find the slope of the line through each pair of points.<br> (- 12, 20 ). ( 15 ,- 12)

gtnhenbr [62]

Answer:

-32/27

Step-by-step explanation:

-12 - 20 -32 -32

----------- = ----------- = ----------

15 - (-12) 15 + 12 27

6 0

2 years ago

I need help I’ve been trying to figure this one out could get it

erastovalidia [21]

Answer:

The result is 7.8 * 10^3

Step-by-step explanation:

When we are dividing in scientific notation, divide the numbers in front

7.8/1 = 7.8

Subtract the exponents on the powers of 10

10^(7-4) = 10 ^3

The result is 7.8 * 10^3

3 0

3 years ago