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3 years ago

21 is 75%, percent of what number?

Mathematics

2 answers:

ELEN [110]3 years ago

8 0

Answer:

Step-by-step explanation:

x • 3/4 = 21

Multiply both sides by 4/3 to cancel out 3/4.

x = 21 • 4/3

x = 64/3

x = 28

Plug it back into the equation to make sure it works.

28 • 3/4 = 21

64/4 = 21✓

Murljashka [212]3 years ago

6 0

Answer:

28 would be your answer

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If 10 percent of x is 20 what is 23 percent of x

Zarrin [17]

X = 200 because when finding 10% of s number we divide the number to 10. then you find 23 percent of 200. which is 46, because percentages are found out of 100 and 200 is 100 multiplied by 2. So we have to multiply 23 by 2. the answer is 46.

6 0

3 years ago

Please answer the following questions: <br><br> 1. 1/2*8=<br> 2. 1/4*4=<br> 3. 1/3*6=

yan [13]

Hey there!

When we multiply fractions and whole numbers, we simply take that whole number and put it over them, and just multiply across. That gives us:

$\frac{1}{2}x*8 = \frac{8}{2} = 4$

Notice how it's four, because when we have a fraction, we divide. 8 divided by 2 equals four. Next:

$\frac{1}{4} *4 = \frac{4}{4} = 1$

4/4 is equal to 1 because 4 divided by 4 is one. 4 goes into 4 once. Next, we have:

$\frac{1}{3}*6 = \frac{6}{3} = 2$

That's because 6/3 = 2.

Hope this helps!

7 0

3 years ago

Read 2 more answers

I AM SO COMFUSED f- 1.8 = 11.2

balandron [24]

Answer:

Your answer for F will be 13.

Step-by-step explanation:

Take 11.2 and add it to 1.8, and you will get 13 and 13 will be the variable (f). So, f (13) - 1.8 = 11.2

Hope this helps! :D

3 0

2 years ago

Psychologist Michael Cunningham conducted a survey of university women to see whether, upon graduation, they would prefer to mar

bagirrra123 [75]

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\$

A. P(x=6)

$P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\$

B. P(x≥10)

$P(x\geq10)=1-P(x$

$P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\$

$P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\$

$P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713$

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

$E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17$

4 0

2 years ago

There are 5,426 people seated at tables. Each table seats 8 people.

ddd [48]

Answer:

678

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

Number of full tables= 5426/8= 678.25 so full part is 678

How many people are sitting at a table that is not full?

0.25 table= 8*0.25= 2 people are sitting at a table that is not full

5426 - 678*8= 2 people

How many tables are needed for all 5,426 people?

678+1= 679 tables

6 0

2 years ago