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3 years ago

50 point to the person that can answer this:

Mathematics

1 answer:

ale4655 [162]3 years ago

7 0

Answer:

B. The constant in the expression is 1/2

Step-by-step explanation:

Given formula for the area of a triangle

A = 1/2bh

Statements to confirm

A. The coefficient of is b.

False. b is variable, 1/2 is coefficient

B. The constant in the expression is 1/2

True

C. There is one term in the expression.

False. There are 3 terms, one constant and two variables

D. There is one variable in the expression.

False. There are two variables, b and h

Note.

Assumed 1/2 is given in Option B, otherwise all statements are false.

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Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still

lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

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Step-by-step explanation:

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2 years ago

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The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan

Alexxx [7]

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

$P(X < A) = P(Z < \frac{(A - mean)}{standard deviation})$

As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

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3 years ago

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Step-by-step explanation:

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