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Ede4ka [16]
3 years ago
9

Using the formula D= r•t where D equals distance traveled, r equals the average rate of speed and t equals the time traveled, ch

oose the expression or equation that correctly represents this information. Sam drove 200 at an average rate of speed of 50 miles per hour. How long did he travel?
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0
D = r• t
reverses the equation so that D and r are on the same side
d/r = t
200 \div 50 = 4
Sam travels 4 hours at a rate of 50 mph
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Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15 , the proportion of peo
Snezhnost [94]

Given the assumption of a normal distribution with a mean of 100 and a standard deviation of 15, a score of 130 represents a z-score of 2. In different mostly older handbooks of descriptive statistics you can find a ‘from z to percentile-table’. Nowadays it’s more easy to use the computer. Using R, a free and open source statistical environment (www.r-project.org), you can use the command pnorm (130, 100, 15) and it will give 0.9772. Because yo want the proportion above that score you use 1-pnorm (130, 100, 15). Another way of writing in R and with for example 3 IQ-scores:

perc = pnorm (c (70, 100, 130), 100, 15)

(1 - perc)

gives you the above-proportion of the IQ-scores of respectively 70, 100 and 130.

5 0
3 years ago
A cyclist completes a journey of 500 m in 22 seconds, part of the way at 10 m/s and the remainder at 50 m/s. How far does she tr
Shtirlitz [24]

Answer:

150 m at 10 m/s

350 m at 50 m/s

Step-by-step explanation:

x + y = 500

x/10 + y/50 = 22

~~~~~~~~~~~~~~~~~

x + y = 500

5x  + y  = 1100

~~~~~~~~~~~~~~~~

x + y = 500

-5x  - y  = -1100

-4x = -600

x = 150

y = 350

3 0
3 years ago
Six friends attend a music concert and spend $27 per ticket. They each purchase a souvenir t-shirt. If the friends spend a total
larisa86 [58]

Answer:

11.50

Step-by-step explanation:

6x27=162

231+-162=69

69 divided by 6 is 11.5

11.5=11.50

11.50 is your answer

4 0
3 years ago
Read 2 more answers
Michelle is 7 years older than her sister Joan, and Joan is 3 years younger than their brother Ryan. If the sum of their ages is
Zielflug [23.3K]

Answer:

(C) 18

Step-by-step explanation:

We can create a systems of equations. Assuming m is Michelle's age, j is Joan's age, and r is Ryan's age, the equations are:

m = j + 7

j = r-3

m+j+r = 64

We can use substitution, since we know the "values" of m and j.

(j+7)+(r-3)+r = 64\\(j+7)+(2r-3)=64\\2r + j + 4 = 64\\2r + j = 60\\\\

r = 21, j = 18

So we know that Joan is 18 years old.

Hope this helped!

8 0
3 years ago
Write the equation in slope-intercept form<br><br> slope=5 and y-intercept is -6
4vir4ik [10]

Slope intercept form can be written as y = mx + b

m is the slope and b is the y-intercept

Your equation is y = 5x - 6

3 0
3 years ago
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