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Oksanka [162]
3 years ago
7

A rectangular plot of ground is 10 meters longer than it is wide. its area is 10,000 square meters

Mathematics
1 answer:
yarga [219]3 years ago
6 0
Keep in mind x >0 since x is a measurement of length.

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iren2701 [21]

Answer:

2 paperclips for 1 cent

Step-by-step explanation:


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3 years ago
Can you help me please?
klemol [59]

Answer:

the answer is true

Step-by-step explanation:

the x values don't repeat themselves so therefore it is a function

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3 years ago
Keith weighs 20 kg more than Beth,while henry weighs 30kg less than twice as much as Beth. If Keith and Henry weigh the same, ho
dybincka [34]

Answer:

50kg

Step-by-step explanation:

K = Keith  B = Beth  H = Henry

K = 20 + B

H = 2B - 30

K = H

20 + B = 2B - 30

B = 50kg

3 0
3 years ago
Read 2 more answers
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
Find the volume of the cereal box. Use the formula V=Bh.
Gwar [14]

Answer:

V=BH

2x7.5x13=195in

Step-by-step explanation:

To find the volume of a box of cereal (also known as a rectangular prism) just multiply the area of the base (length times width) by the height. The formula is V = l · w · h. To find the volume of a box of cereal (also known as a rectangular prism) just multiply the area of the base (length times width) by the height.

7 0
3 years ago
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