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Anestetic [448]

2 years ago

12

Johnathon can jog 3 2/5 miles in 7/8 hour. Find his average speed in miles per hour

1 answer:

Alex777 [14]2 years ago

8 0

<span>We have to calculate the average speed if we know the distance and time that Johnatan can jog. The distanece: d = 3 2/5 miles = 3.4 miles. t = 7/8 hour = 0.875 h. Then we will use the formula for the average speed ( velocity ): v = d / t. v = 3.4 m / 0.875 h = 3.866 mph. Answer: The average speed is 3.866 mph.</span>

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Here are several function rules. Calculate the output for each rule when you use -6 as the input.

Anna71 [15]

Answer:

The answer is rule 6

Step-by-step explanation:

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Answer: $31.25

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3 years ago

Read 2 more answers

Write the equation for the parabola that has x− intercepts (−2,0) and (4,0) and y− intercept (0,4).

seropon [69]

Answer:

$y = -\frac{1}{2}(x^2-2x-8)$

Simplified it is $y=-\frac{1}{2}x^2+x+4$

Step-by-step explanation:

The x-intercepts of a parabola form the factors of the equation. Since the x -intercepts are (-2,0) and (4,0) then the factors are (x+2) and (x-4). Factors are pieces which multiply to make the equation.

$y=(x+2)(x-4)\\y=x^2+2x-4x-8\\y=x^2-2x-8$

This is the standard form of the parabola $ax^2+bx+c$ . Since the y-intercept of the parabola is (0,4) then a number must also be multiplied to it

$y=a(x^2-2x-8)$

We find a by plugging in x=0 and y=4.

$4=a(0^2-2(0)-8)\\4=a(0-0-8)\\4=a(-8)\\\frac{4}{-8} = a\\\frac{-1}{2} = a$

So the equation is $y = -\frac{1}{2}(x^2-2x-8)$ .

When simplified it is $y=-\frac{1}{2}x^2+x+4$

3 0

3 years ago

Julia enjoys shooting paper balls into the wastebasket across her office. She misses the first shot 50% of the time. When she mi

Marianna [84]

Answer:

a) Probability that Julia misses two shots in a row = $\frac{1}{2}\frac{1}{5} =\frac{1}{10}$

b) We can use the complement rule on this case. Let X the number of shoots successful, we want this probability:

$P(X \geq 1)$

And using the complement rule we have this:

$P(X \geq 1) = 1-P(X$

And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:

$P(X\geq 1) = 1- \frac{1}{10}= \frac{9}{10}$

Step-by-step explanation:

Part a

For this case we know that Julia enjoys shooting paper balls into the basket across her office.

She misses the first shot 50% of the time.

Probability that Julia misses the first shot = $\frac{1}{2}$

When she misses on the first shot, she misses the second shot 20% of the time.

Probability that Julia misses the second shot = $\frac{1}{5}$

For this case we need to find the probability of missing two shots in a row

So we can multiple the two probabilities like this

Probability that Julia misses two shots in a row = $\frac{1}{2}\frac{1}{5} =\frac{1}{10}$

Part b

For this case we want probability of making at least one successful throw

And we can use the complement rule on this case. Let X the number of shoots successful, we want this probability:

$P(X \geq 1)$

And using the complement rule we have this:

$P(X \geq 1) = 1-P(X$

And P(X=0) correspond to the probability that Julia misses two shots in a row founded on part A so then we have:

$P(X\geq 1) = 1- \frac{1}{10}= \frac{9}{10}$

6 0

3 years ago