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3 years ago

14 is a gcf of M AND 210. what are the possible values of m

1 answer:

3 0

GCF(14; M) = 210

210|2
105|5
21|3
7|7
1|

210 = 14 × 3 × 5

The possible values of M:
14 × 1 = 14
14 × 2 = 28
14 × 4 = 56
14 × 7 = 98
14 × 8 = 112
14 × 11 = 154
14 × 13 = 182
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.
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You might be interested in

What are prime numbers?

Nina [5.8K]

Prime numbers are number that can't be divided except it is it's self and 1. For example, 3,5,7,11,13,17, 19, 23, 29, 31, 37...... All of those numbers can only be divided with itself and 1.

3 = 3x1
7 = 7x1
23= 23 x 1

hope this helps

5 0

4 years ago

Uses 10 4/5 oz of icing for every 1/4 of a cake what is the unit rate in ounces of icing for cake

Anton [14]

1 whole cake= 1/4 + 1/4 + 1/4 + 1/4
1/4= 0.25

So we multiply 10 4/5oz per 1/4 cake by four to find out how many ounces are needed for 1 whole cake.

T= total ounces for 1 whole cake
T= (1 ÷ cake portion)(# ounces)
T= (1/0.25)(10 4/5)
change mixed fraction to improper
T= (4)(54/5)
multiply 4 by the numerator
T= (4*54)/5
T= 216/5 ounces for whole cake

T= 43 1/5 ounces for whole cake

Hope this helps! :)

4 0

3 years ago

A financial talk show host claims to have a 55.3 % success rate in his investment recommendations. You collect some data over th

baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$p = 0.553, n = 10$

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003$

$P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039$

$P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219$

$P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724$

$P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567$

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552$

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0

3 years ago

Explain when the congruent complements theorem would be appropriate to use in a proof.

Natasha2012 [34]

<span>The congruent complements theorem 2 <span> angles are complements of the same angle (or of congruent angles), then the two angles are congruent.</span></span>

7 0

4 years ago

Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w

Savatey [412]

Answer:

a. $y= 130x + 350 + \epsilon$

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

$y=\alpha x + \beta + \epsilon$

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

$\alpha = 130$ y $\beta = 350$ Obtaining:

$y= 130x + 350 + \epsilon$ .

b. In a simple linear regression model the value of y-bar represents the average of all values of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

5 0

3 years ago