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mojhsa [17]
3 years ago
13

What numbers are always prime numbers?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0
2 ,3,5,7,11,17,19,23,29,31, 37,41,43,47,53,59,61
67,71,73,79,83,89,97.....
You might be interested in
25 — 3x = 40<br> x =<br><br> Please answer quick thanks
Keith_Richards [23]

Answer:

x=-5

Step-by-step explanation:

-3x+25=40. You want to isolate x so you have to subtract 25 from both sides. -3x=15. We then want x to be isolated so we have to divide both sides by -3 to make x by itself. x=-5. Therefore, x=-5.

If this helps please mark as brainliest

4 0
2 years ago
Read 2 more answers
第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows
tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

P(A/B)=\frac{P(A)*P(B/A)}{P(B)}

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}

Probability that the answer is correct ,given that he knows the answer is

P(E/A)=1

Probability that the answer is correct ,given that he guesses it is

P(E/B)=\frac{1}{3}   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}

Substituting the values we get

P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }

=\frac{6}{30}*\frac{30}{18}  \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}

Therefore ,  the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

#SPJ4

8 0
8 months ago
5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
Anon25 [30]

Answer:

The following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

f(x)=mx+b

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) y^2=\:5x\:+2

y^2=\:5x\:+2  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) 2x\:+\:4\:=\:3x\:-\:8

2x\:+\:4\:=\:3x\:-\:8

x=12

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) y = 3x - 2

y = 3x - 2 is a linear function because it is of the form f(x)=mx+b and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) y\:+\:x^2\:=\:12

y\:+\:x^2\:=\:12 is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) y\:=\:x^2\:+\:2x

y\:=\:x^2\:+\:2x is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) 1

1 is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree 0 or is the 0 polynomial.

7) 3x\:+\:-y\:=\:24

3x\:+\:-y\:=\:24 is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

7 0
2 years ago
The Arthur Company manufactures kitchen utensils. The company is currently producing well below its full capacity. The Benton Co
icang [17]

Answer:

The increase in Arthur's operating profits would be <u>$1120</u>.

Step-by-step explanation:

Given:

The Arthur Company manufactures kitchen utensils. The company is currently producing well below its full capacity. The Benton Company has approached Arthur with an offer to buy 16,000 utensils at $0.70 each. Arthur sells its utensils wholesale for $0.80 each; the average cost per unit is $0.78, of which $0.15 is fixed costs.

If Arthur were to accept Benton's offer.

Now, to find the increase in Arthur's operating profits.

The average cost per unit = $0.78.

The fixed costs = $0.15.

So, to get the variable cost we subtract the fixed cost from the average cost per unit:

0.78-0.15=0.63.

Thus, the variable cost is $0.63.

As, the Benton Company has approached Arthur with an offer to buy 16,000 utensils at $0.70 each.

So, to get the profit per unit we subtract $0.70 from the variable cost:

0.70-0.63=\$0.07.

Profit per unit = $0.07.

Number of utensils = 16,000.

Now, to get the total profit we put formula:

<u><em>Total profit = Number of utensils × Profit per unit.</em></u>

Total\ profit=16,000\times 0.07\\\\ Total\ profit=\$1120.

Therefore, the increase in Arthur's operating profits would be $1120.

4 0
3 years ago
What is the solution set for the inequality 2x-3&gt; 5x+6?
prisoha [69]

3x <  - 9 \\ x <  - 3
4 0
2 years ago
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