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klasskru [66]
2 years ago
9

: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many

salmon did adam catch?
Mathematics
1 answer:
nadya68 [22]2 years ago
5 0
A=Adam
m= Melissa

a+m = 32
m= 3a
Then 3a + a = 32  or 4a =32  then a = 8
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The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they
Zarrin [17]

22% liked neither.

Step-by-step explanation:

Given,

64% liked pop music.

52% liked rap music.

38% liked both type of music.

To find out the percentage of those liked neither.

Now,

Let, total number of student = 100

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So,

Number of students who liked only pop = 64-38 = 26

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Hence,

Number of students who liked neither = 100 - (26+14+38) = 22

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svlad2 [7]
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A poll stated that 32% of those polled think the economy is getting worse. An economist wanted to check this claim so she survey
zysi [14]

Answer:

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The p value for this case would be given by:

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Step-by-step explanation:

Information given

n=750 represent the random sample taken

\hat p=0.30 estimated proportion of  people who  thought the economy is getting worse

p_o=0.32 is the value that we want to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true proportion of interest is equal to 0.32 or not.:  

Null hypothesis:p=0.32  

Alternative hypothesis:p \neq 0.32  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.30 -0.32}{\sqrt{\frac{0.32(1-0.32)}{750}}}=-1.174  

The p value for this case would be given by:

p_v =2*P(z  

For this case since the p value is higher than the significance level given we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not significantly different from 0.32 or 32 %

8 0
2 years ago
Mrs. Melanie Lazo pays Php 15.75 for each hair clip to its supplier. She decided to adds markup of Php 3.15. What is the markup
malfutka [58]

Answer:

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1 year ago
Triangle $ABC$ has altitudes $\overline{AD},$ $\overline{BE},$ and $\overline{CF}.$ If $AD = 12,$ $BE = 14,$ and $CF$ is a posit
Shalnov [3]

Answer:

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Step-by-step explanation:

Given: Δ ABC

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The area of the triangle = 0.5 AD * BC ⇒ (1)

OR area                          = 0.5 BE * AC  ⇒ (2)

OR area                          = 0.5 CF * AB  ⇒ (3)

By equating (1) and (3)

∴ 0.5 CF * AB = 0.5 AD * BC

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By equating (1) and (2)

0.5 BE * AC = 0.5 AD * BC

∴ \frac{AC}{BC} = \frac{AD}{BE} =\frac{12}{14} =\frac{6}{7} (5)

We should know that about the relation between the sides of the triangle:

The sum of two sides will be greater than the third side

So, AB < BC + AC    ⇒ divide both sides by BC

∴ \frac{AB}{BC} < 1+\frac{AC}{BC}

By substitution from (5) with AC/BC

∴ \frac{AB}{BC}

∴ \frac{AB}{BC}

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By substitution from (6) at (4)

∴ CF > 12 * 7/13

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But CF is a positive integer

<u>∴ CF = 7</u>

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2 years ago
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