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baherus [9]
3 years ago
15

When 6 times a number is increased by 7, the result is 31 what is the number?

Mathematics
2 answers:
kodGreya [7K]3 years ago
6 0
First subtract 7 from 31. Then divide that number by 6. You should get 4 as your answer
kakasveta [241]3 years ago
5 0
There's the answer wait for experts

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Find the degree of the monomial.<br> 4g
gladu [14]

Answer:

The degree is 1

Step-by-step explanation:

<u>Step 1:  Find the degree</u>

4g has a degree of 1 because the g is to the power of 1.

Answer:  The degree is 1

<u>Example: </u> 4x^3

Since the x is to the 3rd power, that means that the degree is 3

6 0
3 years ago
A study is under way in Yosemite National Forest to determine that adult height of American pine trees. Specifically, the study
SVETLANKA909090 [29]

Answer:

The 25,000 adult American pine trees in the forest.

Step-by-step explanation:

Consider the provided information.

It is given that the forest contains 25,000 adult American pines. The study involves collecting heights from 250 randomly selected adult American pine trees and analyzing the results.

A population is the set of data which includes all of the elements. If one or more observations are drawn form the population then it called a sample.

Here the population is 25,000 adult American pines.

Thus, the required answer is: The 25,000 adult American pine trees in the forest.

8 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
Given the x-intercepts for the graph of a quadratic function, write a possible formula for the quadratic function, in
eduard

Answer:

Step-by-step explanation:

x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic.  They are the same thing generally, they are just written in different forms.  For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0.  Solving that for x, you get x = 3.  That factor of x = 3 is (x - 3).

Following that logic, for a:

If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).

For b:

If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1).  Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)

For c:

If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).

For d:

If the x-intercept is a fraction, do the same thing:

x = 1/2 so

x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)

5 0
3 years ago
0.5(r+2.75)=3<br> Solve for r please
Tpy6a [65]
First you foil so you would get

0.5r+1.375=3

Then you subtract the 1.375 to the 3

0.5r=3-1.375

0.5r=2.375

Now to find r you need to divide by 0.5

r=2.375/0.5

8 0
3 years ago
Read 2 more answers
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