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Nina [5.8K]
3 years ago
12

Lashonda made $80 for 5 hours of work.

Mathematics
2 answers:
valkas [14]3 years ago
8 0

Answer:

$208

Step-by-step explanation:

well 5 hours of work = $80

so 1 hour =$16

Which means 13 hours = $208

Viefleur [7K]3 years ago
8 0

The result is 208€

Because 5 are 80

80:5=16

16•13=208

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Jerome is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning
Bingel [31]

Answer:

coordinates of R(b,c)

slope of NM is 0.

Step-by-step explanation:

The midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

The midpoint of the line segment NK is given by

(\frac{0+2b}{2},\frac{0+2c}{2})

∴R(b,c)

The slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Slope of RS is

m_{RS} =\frac{c-c}{a+d-b} = 0

Hence

coordinates of R(b,c)

and slope of NM is 0.

8 0
3 years ago
Read 2 more answers
An environmentalist wants to find out the fraction of oil tankers that have spills each month.
Anastasy [175]

Answer:

The estimate of the proportion of oil tankers that had spills is 0.25.

Step-by-step explanation:

Proportion of oil tankers that had spills:

1036 tankers.

777 did not have spills.

So 1036 - 777 = 259 had spills.

The proportion is:

p = \frac{259}{1036} = 0.25

The estimate of the proportion of oil tankers that had spills is 0.25.

3 0
3 years ago
Find the equivalent expression by drawing a line from the left column to the right
Gala2k [10]

Answer/Step-by-step explanation:

2(3x - 1) = 2*3x 2*-1 = 6x - 2

(x*y)2 = (xy)2 = 2xy

2(2x - 3) = 2*2x 2*-3 = 4x - 6

3x + 4x + 2 = (3x + 4x) + 2 = 7x + 2

7x - 7 = 7(x) - 7(1) = 7(x - 1)

x(6 + 9) = x(15) = 15x

2 + 9x + 1 + 3x = (9x + 3x) + (2 + 1) = 12x + 3

4(x + 2) + x = 4x + 8 + x = 4x + x + 8 = 5x + 8

6 0
3 years ago
The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. What is the area
elena-s [515]
Given:
V = 324 cu cm
h = 9 cm

Since the formula for the volume of a cylinder is V = AreaBase*height

AreaBase = V/height = 324cu cm/ 9 cm
AreaBase = 113.04 square centimetres

Therefore, the area of the pillar in square centimeters is 113.04.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.


5 0
2 years ago
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Majesty Video Production Inc. wants the mean length of its advertisements to be 26 seconds. Assume the distribution of ad length
Paladinen [302]

Answer:

a) By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b) s = 0.44

c) 0.84% of the sample means will be greater than 27.05 seconds

d) 98.46% of the sample means will be greater than 25.05 seconds

e) 97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation(also called standard error) s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 26, \sigma = 2, n = 21, s = \frac{2}{\sqrt{21}} = 0.44

a. What can we say about the shape of the distribution of the sample mean time?

By the Central Limit Theorem, approximately normally distributed, with mean 26 and standard error 0.44.

b. What is the standard error of the mean time? (Round your answer to 2 decimal places)

s = \frac{2}{\sqrt{21}} = 0.44

c. What percent of the sample means will be greater than 27.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 27.05. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

1 - 0.9916 = 0.0084

0.84% of the sample means will be greater than 27.05 seconds

d. What percent of the sample means will be greater than 25.05 seconds?

This is 1 subtracted by the pvalue of Z when X = 25.05. So

Z = \frac{X - \mu}{s}

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

1 - 0.0154 = 0.9846

98.46% of the sample means will be greater than 25.05 seconds

e. What percent of the sample means will be greater than 25.05 but less than 27.05 seconds?"

This is the pvalue of Z when X = 27.05 subtracted by the pvalue of Z when X = 25.05.

X = 27.05

Z = \frac{X - \mu}{s}

Z = \frac{27.05 - 26}{0.44}

Z = 2.39

Z = 2.39 has a pvalue of 0.9916

X = 25.05

Z = \frac{X - \mu}{s}

Z = \frac{25.05 - 26}{0.44}

Z = -2.16

Z = -2.16 has a pvalue of 0.0154

0.9916 - 0.0154 = 0.9762

97.62% of the sample means will be greater than 25.05 but less than 27.05 seconds

8 0
3 years ago
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