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3 years ago

A train can travel at a rate of 85 miler per hour. At this rate, how many hour will it take the train to go 102 miles?

Mathematics

1 answer:

madam [21]3 years ago

5 0

Answer:

The time required is 1.2 hours

Step-by-step explanation:

The formula is

d= rt where d is the distance and r is the rate and t is time

85 miles per hour is the rate and 102 is the distance

102 = 85 miles per hour * t

Divide each side by 85

102/85 = 85t/85

1.2 = t

The time required is 1.2 hours

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love history [14]

Answer: 0.923

Step-by-step explanation:

Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves.

Pew Research Center finds that

P(A)=0.52 P(b)=0.26, and P(A or B)=0.54.

To find : P(A|B)

Since , $\text{P(A or B)=P(A+P(B)-P(A and B)}$

i.e. $\text{P(A and B)=P(A)+P(B)-P(A or B)}$

$\text{P(A and B)=}0.52+0.26-0.54=0.24$

Now, using conditional probability formula ,

$P(A|B)=\dfrac{\text{P(A and B)}}{\text{P(B)}}\\\\=\dfrac{0.24}{0.26}=0.923076923077\approx0.923$

Hence, the conditional probability that an Internet user posts photos that they have taken themselves, given that they post videos that they have taken themselves = 0.923

5 0

4 years ago

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marissa [1.9K]

Answer:

3 1/3

Step-by-step explanation:

2 + (-2/3)² ÷ 1/3

2 + 4/9 ÷ 1/3

2 + 4/9 × 3/1

2 + 12/9 = 2 + 4/3 = 2 + 1 1/3

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3 years ago

graph the solution to the following system of inequalities y<-2x+7, y greater than or equal to 2x - 3

Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality $y$ First, draw the dotted line $y=-2x+7$ (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality $y\ge 2x-3.$ First, draw the solid line $y=2x-3$ (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).