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3 years ago

8

Find the GCF of 6ab, 3a

2 answers:

SOVA2 [1]3 years ago

8 0

GCF=

Greatest common factor.

6a and 3a can both be divided by 3a

So our final answer:

3a

irga5000 [103]3 years ago

7 0

GCF means: greatest common factor, the biggest number by which both numbers can be divided.

We knew that both numbers are divisible by 3: both 6 and 3 are divisible by 3.

also, they are both divisible by "a": since they are products of a and other numbers or variables.

So the answer is:

3a

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3 years ago

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Use the theoretical probability formula to solve the problem. Express the probability as a fraction

serg [7]

Answer:

c. 3 / 13

d. 2 / 13

Step-by-step explanation:

c.

A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.

So, there are 52/4= 13 cards of each suit.

Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.

So, the number of total picture cards = 4*3 = 12

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d.

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3 years ago

Adult entrance fees to amusement parks in the United States are normally distributed with a population standard deviation of 2.5

kondor19780726 [428]

Answer: 1.509

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.99

Significance level : $\alpha=1-0.99=0.01$

Using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.005}= 2.831$

Standard deviation: $\sigma=\text{ 2.5 dollars }$

Then, we have

$E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509$

Hence, the margin of error for a 99% confidence interval for the population mean =1.509

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3 years ago

A cylinder has a height of 2.8 feet and a radius of 5.1 feet. What is its volume? Use 3.14 and round your answer to the nearest

kifflom [539]

<h3>Answer: 228.68</h3>

Work Shown:

$V = \pi*r^2*h\\\\V \approx 3.14*(5.1)^2*2.8\\\\V \approx 228.67992\\\\V \approx 228.68\\\\$

The volume is approximately 228.68 cubic feet.

The result is approximate because pi = 3.14 is approximate.

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2 years ago

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