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3 years ago

What is the ratio of red to blue squares in its simplest form? 14 red 4 blue

Mathematics

1 answer:

zlopas [31]3 years ago

5 0

Simplest Form: $7 : 2$

How to Simplify a Ratio A : B when A and B are both whole numbers:

List the factors of A
List the factors of B
Find the greatest common factor of A and B, GCF(A, B)
Divide A and B each by the GCF
Use the whole number results to rewrite the ratio in simplest form

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 14 and 4 is 2

Divide both terms by the GCF, 2:

14 ÷ 2 = 7

4 ÷ 2 = 2

The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :

14 : 4 = 7 : 2

Therefore:

14 : 4 = 7 : 2

You might be interested in

(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist

Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

$X=620$ number of people that would vote for the Republican candidate

$n=1200$ random sample taken

$\hat p=\frac{620}{1200}=0.517$ estimated proportion of people that would vote for the Republican candidate

$p$ true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1- p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

The problem says that we need to use $\hat p =0.05$ , and replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604$

And rounded we have that n=9604

6 0

2 years ago

10. Make q the subject of the formula 5(q + p) = 4 + 8p

vichka [17]

The formula subject to q is $\frac{4+3p}{5}$

Explanation:

The given formula is $5(q+p)=4+8 p$

We need to determine the formula subject to q.

The formula subject to q:

The formula subject to q can be determined by solving the formula for q.

Let us solve the formula.

Thus, we have;

$5q+5p=4+8p$

Subtracting both sides by 5p, we have;

$5q=4+3p$

Dividing both sides by 5, we get;

$q=\frac{4+3p}{5}$

Thus, the formula subject to q is $\frac{4+3p}{5}$

5 0

2 years ago

Write an arithmetic expression that calculates the average of 18 and 46. you may already know that: the average of two numbers i

Masteriza [31]

In this question , we have to write an arithmetic expression that calculates the average of 18 and 46.

TO find the average, we have to add the numbers and divide by 2.

So here we have to add 18 and 46 and divide by 2, that is

$d = \frac{18+46}{2} = \frac{64}{2}$

And that's the required algebraic expression .

8 0

3 years ago

The graph represents a distribution of data.

makvit [3.9K]

Answer:

Mean=50

Step-by-step explanation:

The mean of a probability distribution is a measure of central tendency,and gives information about how the possible values of x are distributed.

The vertical axis measures the probability of finding a specific value of x in the sample. The probability of finding a value near the mean is high (that is why the value of the function that is depicted in the vertical axis, increases as we get closer to the mean=50): this is because the mean is that value of x around which higher probability of occurrence is associated.

6 0

3 years ago

Read 2 more answers

The nth term of a sequence is 60-8n. Find the largest number in this sequence.

natka813 [3]

Answer:

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

6 0

2 years ago