Is there a rational number between 1/7 and 1/8

1 answer:

5 0

1/7 = 2/14 = 0.1428571429 
1/8 = 2/16 = 0.125
2/15 = 0.1333333333 
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)

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Three friends attended a carnival. John rode the rollercoaster twice, the bumper cars three times, and the Ferris wheel once. He

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Answer:

The system of equations is the option A

Step-by-step explanation:

Let

x ------> the number of tickets for the roller-coaster

y ------> the number of tickets for the bumper

z ------> the number of tickets for the Ferris wheel

we know that

The system of equations is equal to

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Darren

3x+y+2z=36

Shelley

x+2y+3z=32

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Anastaziya [24]

Answer:

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Step-by-step explanation:

State the null and alternative hypothesis as

H0: μ= 160 against the claim Ha :μ ≠160

Sample mean = x`= 165

Sample standard deviation= Sd= 12

2. The test statistic to use is

t= x`-μ/sd/√n

which if H0 is true , has t distribution with n-1 = 36-1= 35 degrees of freedom

3. The critical region is t< t (0.025(35)= 2.0306

t= x`-μ/sd/√n

4. t = (165-160)/[12/√(36)] = 5/[6] = 0.833

5. Since the computed value of t= 0.833 does not fall in the critical region we therefore do not reject H0 and may conclude that population mean is greater than 160. Or the sample comes from population with mean of 165.

Now

6. The p-value is 0 .410326 for t= 0.8333 with 35 degrees of freedom.