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jek_recluse [69]
4 years ago
7

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ . What is CE ? Enter your answer in the box. ft

Mathematics
1 answer:
Marizza181 [45]4 years ago
4 0

The segments AE, EC, AD and DB are in proportion.

Therefore we have the equation:

\dfrac{CE}{BD}=\dfrac{AE}{AD}

AE = 4ft, AD = 8ft and BD = 2ft. Substitute:

\dfrac{CE}{2}=\dfrac{\not4^1}{\not8_2}      <em>multiply both sides by 2</em>

CE=\dfrac{1}{\not2_1}\cdot\not2^1\\\\\boxed{CE=1\ ft}

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What does the word distribute mean
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Distribute: the way things are divided or spread out

Sentence: She studies the distribution of wildcats in the area.

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3 years ago
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Which of the following is the equation of a line parallel to the line y = -x + 1,
Lynna [10]

Answer:

Step-by-step explanation:

y = -x + 1.....slope here is -1. A parallel line will have the same slope

y = mx + b

slope(m) = -1

(4,1)....x = 4 and y = 1

now we sub and find b, the y int

1 = -1(4) + b

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5 = b

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5 0
3 years ago
168 students play at least one sport 35% of students at the school how many students are at the school
mash [69]
X= number of students in school

Total number of students multiplied by % equals portion of students

x * 35%= 168
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Hope this helps! :)
8 0
3 years ago
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

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We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

5 0
3 years ago
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mezya [45]

Answer: 4

Step-by-step explanation: I think

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