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3 years ago

Question

Mathematics

1 answer:

Mademuasel [1]3 years ago

6 0

Answer:

<u>The cost to rent a rug cleaner for 6 days is $ 58</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost to rent a rug cleaner for d days = 5.50d + 25

2. Find the cost to rent the cleaner for 6 days.

Cost to rent a rug cleaner for 6 days = 5.50 * 6 + 25

Cost to rent a rug cleaner for 6 days = 33 + 25

Cost to rent a rug cleaner for 6 days = $ 58

<u>The cost to rent a rug cleaner for 6 days is $ 58</u>

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What % of 300 is 30

algol13

Answer:10%

Step-by-step explanation:

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3 years ago

Simplify the expression below

Brilliant_brown [7]

Answer:

− 4 x + 20

Step-by-step explanation:

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2 years ago

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines

storchak [24]

Answer:

The null hypothesis is $H_o: \mu = 4$ .

The alternate hypothesis is $H_a: \mu \neq 4$

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

Step-by-step explanation:

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line.

This means that the null hypothesis is that they are 4.00 cm long, that is:

$H_o: \mu = 4$

At the alternate hypothesis we test if it is different. So

$H_a: \mu \neq 4$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4 is tested at the null hypothesis:

This means that $\mu = 4$

After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.14 cm.

This means that $n = 196, X = 4.14$

He knows that the population standard deviation is 0.83 cm.

This means that $\sigma = 0.83$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{4.14 - 4}{\frac{0.83}{\sqrt{196}}}$

$z = 2.36$

Pvalue of the test and decision:

The pvalue of the test is the probability that the sample mean is different by at least 4.14 - 4 = 0.14 from the target value, which is P(|z| > 2.36), which is 2 multiplied by the pvalue of z = -2.36.

Looking at the z-table, z = -2.36 has a pvalue of 0.0091

2*0.0091 = 0.0182

The pvalue of the test is 0.0182 < 0.05, which means that there is sufficient evidence to show that the manufacturer needs to recalibrate the machines.

5 0

2 years ago

Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b

andriy [413]

Here is the equation: $x+(x+3)=11$ ⇒ $x+x+3=11$

You need to get "x" by itself so minus 3 from each side

$x+x+3-3=11-3$ ⇒ $x+x=8$ ⇒ $2x=8$

Divide 8 by 2

$8$ ÷ $2=4$

x=4

So each 4 is equivalent to 4

Lets check:

$4+(4+3)=11$ ⇒ $4+4+3=11$ ⇒ $11=11$

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7

4 0

3 years ago

How to solve a this multi-step equation: o + 6 - 2o = -8

jekas [21]

O+6-2O=-8

subtract 6 from both sides

the equation is then O-2O=-14

combine like terms on the left side

the equation is then -O=-14

divide by -1

final answer is O=14

6 0

3 years ago