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vitfil [10]
3 years ago
13

A zoo has 60 penguins total. If the Emperor penguins make up 35% of all of the penguins at the zoo, how many Emperor penguins ar

e at the zoo?
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
5 0

Answer:

There are 21 emperor penguins at the zoo

Step-by-step explanation:

The total number of penguins in the zoo = 60

The percentage share of emperor penguin in the total population of penguin = 35 %

Number of emperor penguins at the zoo

\frac{35}{100} * 60

0.35 * 60

= 21

There are 21 emperor penguins at the zoo

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A public school in your city has 1710 girls among the 2970 students. What is the ratio of boys to girls in school
Minchanka [31]

Answer:

The simplest answer would just be 14:19

However the unsimplified answer is 1260:1710

3 0
3 years ago
A CBS News/New York Times opinion poll asked 1,190 adults whether they would prefer balancing the federal budget over cutting ta
nikklg [1K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sampling proportions of a proportion p in a sample of size n has mean \mu = p and standard error s = \sqrt{\frac{p(1 - p)}{n}}

In this problem:

  • 1,190 adults were asked, hence n = 1190
  • In fact 62% of all adults favor balancing the budget over cutting taxes, hence p = 0.62.

The mean and the standard error are given by:

\mu = p = 0.62

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.62(0.38)}{1190}} = 0.0141

The probability of a sample proportion of 0.59 or less is the <u>p-value of Z when X = 0.59</u>, hence:

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

By the Central Limit Theorem

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

Z = \frac{0.59 - 0.62}{0.0141}

Z = -2.13

Z = -2.13 has a p-value of 0.0166.

0.0166 = 1.66% probability of a sample proportion of 0.59 or less.

You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213

7 0
2 years ago
I don’t really get this question can someone help me out
Inessa [10]

angles EFH and GFH are congruents

for the second equivalence criterion  two triangles are equivalents if they have  respectively  2 angles and 1 side congruents

the two triangles have congruents the angle right angle (HGF and HEF) and the 55 degrees angles (EFH and GFH); then they have in common the HF side.

so the triangles are congruent and so all the sides are respectively congruent,for example EH with HG:

EH=HG

s+36=7s

s+36-7s=0

s-7s=-36

-6s=-36

6s=36

s=6

<em>sorry for my english</em>

5 0
3 years ago
A professional diver began to descend at a rate of 9 feet per minute after jumping into the ocean at a depth of 7 feet. Which of
klemol [59]

See what you can do like ask what the change is

8 0
3 years ago
Please help me!
Harman [31]

Answer:

The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.

The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.

Step-by-step explanation:

The equation y=f(x)+k represents that when k is negative, the graph moves downward.

6 0
2 years ago
Read 2 more answers
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