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3 years ago

Put into simplest form

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Since 4^2=sqrt(16), we can rewrite it as that. In addition, as 2 is a factor of 16, we can rewrite it as sqrt(2)*sqrt(16/2)=sqrt(2)*sqrt(8). Crossing out the sqrt(2), we get sqrt(8) as our answer. To simplify it, we can note that 2^2=4 and 4 is a factor of 8 when multiplied by 2, so we get 2*sqrt(2)

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I don’t understand what it’s asking me can someone explain without giving me the answer?

larisa86 [58]

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Hope that this helped. (;

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3 years ago

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Can someone help with this

mel-nik [20]

Answer:

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Step-by-step explanation:

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3 years ago

Color-blindness is any abnormality of the color vision system that causes a person to see colors differently than most people or

Veronika [31]

Answer:

Correct option is (d): Neither X nor Y can be well-approximated by a normal random variable.

Step-by-step explanation:

The sample size of males having color-blindness is, n (X) = 20.

The sample size of females having color-blindness is, n (Y) = 40.

The proportion of males that suffer from color-blindness is, P (X) = 0.08.

The proportion of females that suffer from color-blindness is, P (Y) = 0.01.

Now both the random variables X and Y follows a Binomial distribution,

$X\sim Bin(20, 0.08)\\Y\sim Bin(40, 0.01)$

A normal distribution is used to approximate the binomial distribution if the sample is large, i.e n ≥ 30 and the probability of success is very close to 0.50.

Also if np ≥ 10 and n (1 - p) ≥ 10, the binomial distribution can be approximated by the normal distribution.

For the sample of men (X):

$np=20\times0.08=1.610$

In this case neither n > 30 nor p is close to 0.50.

And np < 10.

Thus, the random variable X cannot be approximated by the normal distribution.

For the sample of men (Y):

$np=40\times0.01=0.410$

In this case n > 30 but p is not close to 0.50.

And np < 10.

Thus, the random variable Y cannot be approximated by the normal distribution.

Thus, both the random variables cannot be approximated by the normal distribution.

The correct option is (d).

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3 years ago

Questions of 8. Step 1 of 1 5/8 Correct Incor In November, Mr. Carlisle opened a checking account and made deposits of $612. $75

quester [9]

Answer:

$616

Step-by-step explanation:

When you add all the values that were added to his account, he added $3,089.When you add all the values that he wrote checks for (subtracted), he took out $2,473. When you subtract 2,473 from 3,089, you get 616, which is how much money is left in his account.

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3 years ago

If one half of an integer is added to one fifth of the next consecutive integer, the sum is 10. Find the integers.

Ivahew [28]

Let 1st integer be x and next consecutive be x+1
1/2•x + 1/5•(x+1) = 10
x/2 + x/5 + 1/5 = 10
-1/5 -1/5
x/2 + x/5 = 49/5
(x/2)•5/5 + (x/5)•2/2 = 49/5
5x/10 + 2x/10 = 49/5
7x/10 = 49/5
•10 •10
7x = 98
÷7 ÷7
x = 14 --> 1st integer
x+1 = 14+1 = 15 --> next consecutive integer

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3 years ago

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