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nasty-shy [4]
3 years ago
6

there are two buses at the bus stop, one is at the bus stop every twenty-five minutes. the other is there every fifteen minutes.

how many minutes until both buses are at the bus stop again?
Mathematics
1 answer:
julsineya [31]3 years ago
7 0

Answer:

Bus A will take 75 minutes and Bus B will take 75 minutes as well.

Step-by-step explanation:

Say the buses start at 8 am and the first stop is 25 of 15 minutes, whenever they're supposed to stop:

Bus A: 8:25, 8:50, and 9:15

Bus B: 8:15, 8:30, 8:45, 9:00, and 9:15.

I hope this helped!

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If the slope of line l is x, and the slope of line m is x+2, and l⊥ m, what is x?
salantis [7]

Answer:

The answer to your question is:  x = -1

Step-by-step explanation:

Data

slope of l = x

slope of m = x +2

they are ⊥

Process

If they are ⊥, then,     x + 2  = - 1/x

                                  x(x + 2) = -1

                                  x² + 2x = -1

                                  x² + 2x + 1  = 0

                                 (x + 1)² = 0

                                 x + 1 = 0

                                x = -1

6 0
3 years ago
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
Mrac [35]

The equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

We have two points shown in the table:

(-1, -10), and (3, 14)

\rm (y - 14 )= \dfrac{14+10}{3+1}(x-3)

y - 14 = 6(x - 3)

y = 6x - 4

Thus, the equation of the line that passes through points (-1, -10), and (3, 14) is y = 6x - 4.

Learn more about the slope of the straight line here:

brainly.com/question/3493733

#SPJ1

6 0
2 years ago
A pathologist knows that 14.9% of all deaths are attributable to myocardial infarctions (a type of heart disease). (Either you h
garik1379 [7]

Answer:

a) The mean number is 745 and the standard deviation is 25.18.

b) 896 deaths is a significantly high number, which means that there is cause for concern.

Step-by-step explanation:

For each death, there are only two possible outcomes. Either it is attributable to myocardial infarctions, or it is not. The probability of a death being attributable to myocardial infarctions is independent of other deaths. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

A value X is significantly high is:

X > E(X) + 2\sqrt{V(X)}

In this problem:

p = 0.149, n = 5000

a. Find the mean and standard deviation for the number of such deaths that will occur in typical region with 5000 deaths.

E(X) = np = 5000*0.149 = 745

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5000*0.149*0.851} = 25.18

The mean number is 745 and the standard deviation is 25.18.

b. In one region, 5000 death certificates are examined, and it is found that 896 deaths were attributable to myocardial infarction. Is there cause for concern? Why or why not?

Is 896 a significantly high number?

E(X) + 2\sqrt{V(X)} = 745 + 2*25.18 = 795.36

895 > 795.36

896 deaths is a significantly high number, which means that there is cause for concern.

6 0
4 years ago
Help me please!! This is due at 3:00 pm
hammer [34]
X=3

It’s a right angle so it's equal to 90 degrees and both sides are congruent.
7 0
3 years ago
What is 4.2X-1.4Y=2.1-2X
enot [183]

4.2x - 1.4y = 2.1 - 2x

Subtract 4.2x

-1.4y = 2.1 - 6.2x

Divide by -1.4

y = -3/2 + 9/2x

Answer: y = 9/2x - 3/2

7 0
4 years ago
Read 2 more answers
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