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3 years ago

A certain number is three more that five times another number. The difference of the two numbers is 11

Mathematics

1 answer:

Slav-nsk [51]3 years ago

5 0

Answer:

The number would be 2.

Step-by-step explanation:

I set up an equation 5x+3, and x. So since it's a difference we know that we have to subtract, so I subtracted the two expressions, and set that equal to 11.

Solve 5x+3-x=11

Answer 4x=8, x=2

Hope this helps, if does hit the Thanks button!

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An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample

valentina_108 [34]

Answer:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Replacing we got:

$\bar X=58.875$ represent the mean

$s=5.083$ represent the sample standard deviation for the sample

$n=8$ sample size

$\mu_o =60$ represent the value that we want to test

$\alpha=0.1$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:

Null hypothesis: $\mu \geq 60$

Alternative hypothesis: $\mu < 60$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info we got:

$t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626$

The degrees of freedom are given by:

$df=n-1=8-1=7$

The p value would be given by:

$p_v =P(t_{(7)}$

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0

3 years ago

Which is greater 80 oz or 5 lb

Len [333]

There the same thing they both weigh the same thing hope it helps and have a great day!

3 0

3 years ago

Read 2 more answers

Which statement is true

vova2212 [387]

Answer: the system has no solution

Step-by-step explanation: for a solution to occur the lines have to cross

5 0

3 years ago

Edith is x years old. Her sister,Madison is six years older than her. Their mother is twice as old as Madison. Their aunt, Eliza

DENIUS [597]

Answer:

Step-by-step explanation:

Edith is x years old.

Her sister,Madison is six years older than her. This means that the age of Madison is x + 6

Their mother is twice as old as Madison. This means that the age of their mother is expressed as

2(x + 6)

= 2x + 12

Their aunt, Elizabeth is x years older than their mother. This means that the expression that represents Elizabeth's age in years is

2x + 12 + x

= 3x + 12

5 0

3 years ago

What is the answer to number 14??

son4ous [18]

Zero has one square root which is 0.
Negative numbers Don't have real aquare roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members or the irrational numbers. That means that they can't be written as the quotient of two integers.

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3 years ago