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scoray [572]
4 years ago
12

Worth 20 points, please help!

Mathematics
1 answer:
serg [7]4 years ago
5 0

Answer: 3


Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Find the prime factorization of 27:

27=3*3*3 or 27=3^{3}

2.  The index of the radical is 3, therefore, you have rewrite it as following:

\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3^{1}=3

3. Therefore, as you can see, the answer is 3.


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Justin car can travel 75 miles using 3 gallons of gas. At this rate, how far, in miles, can Justin travel using 8 gallons of gas
AlekseyPX

Answer:

Justin travels 211.83 miles on 8.2 gallons of gas.

Step-by-step explanation:

77.5 miles / 3.1 gallons = x miles / 8.2 gallons

Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.

8.2 gallons *77.5 miles / 3.1 gallons = x

635.5/ 3.1 = x

211.83 miles = x

8 0
3 years ago
Please help me with these factoring problems. Please help me solve. I can't do these!!
aleksley [76]
Simple...

you have: 

1.) -8x-16  --->>>

Factor out a -8 -->>

-8(x+2)

2.)9d+15db --->

Factor out 3d -->

3d(3+5b)

3.) 2a-9ax-->>

Factor out -a -->

-1a(9x-2)

Thus, your answer.
3 0
3 years ago
A jar contains 4 pennies, 5 nickels, and 2 dimes. Helpppp!!
coldgirl [10]

Answer:

A

Step-by-step explanation:

I may be wrong but 5/11 would be the 5 nickels out of the 11 coins so...

5 0
3 years ago
Read 2 more answers
The lengths of human pregnancies are normally distributed with a mean of 268 day & a standard deviation of 15 days. What is
Andrews [41]

The probability that a pregnancy last at least 300 days is 0.01659

Step-by-step explanation:

The formula of z-score is z = (x - μ)/σ, where

  • μ is the mean
  • σ is the standard deviation
  • x is the score

The lengths of human pregnancies are normally distributed with a

mean of 268 day & a standard deviation of 15 days

∴ μ = 268 days

∴ σ = 15 days

We need to find the probability that a pregnancy last at least 300 days

∵ At least means greater than or equal

∴ x ≥ 300 days

For probability that x ≥ 300 find the z-score and use the normal

distribution table to find the area to the right of the z-score

∵ z = (x - μ)/σ

∴ z=\frac{300-268}{15}

∴ <em>z</em> = 2.13

By using the normal distribution table of z-score

∵ The area (to the left of z-score) corresponding to z-score of 2.13

   is 0.98341

∵ We need the area to the right of z-score

∴ P(x ≥ 300) = 1 - 0.98341

∴ P(x ≥ 300) = 0.01659

The probability that a pregnancy last at least 300 days is 0.01659

Learn more:

You can learn more about probability in brainly.com/question/9178881

#LearnwithBrainly

8 0
3 years ago
Find the length of side Y (this is from the geometry for enjoyment and challenge textbook) PLEASE ANSWER ASAP IT'S DUE TOMORROW!
Ymorist [56]

Answer:

y= 3

Step-by-step explanation:

The triangle on the left is a right triangle, so we can use trig functions to solve for the missing side, y.

First, find the length of the side that both triangles are connected to.

tan30=x/9

Isolate the x variable and solve.

9(tan30)=x

x= 5.19615

Now use the Pythagorean Theorem to solve for the side length, y.

a^2+ b^2 = c^2

(5.19615)^2+ b^2= 6^2

c= 3

4 0
3 years ago
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