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3 years ago

(5) Rhea ran 6 laps on a track. Each lap is 200 yards. Rhea's average speed for

Mathematics

1 answer:

sashaice [31]3 years ago

7 0

Answer:

72 yd / min

Step-by-step explanation:

The first thing is to fully calculate the distance traveled, each lap is 200 yards and how 6 laps would be:

200 * 6 = 1200

Now, let's divide the race into how the statement tells us:

1200 * 2/3 = 800

1200 * 1/3 = 400

That is, in the first 800 yards it goes to 80 yd / min and then in the remaining 400 yards it goes to 60 yd / min, let's calculate the time Rhea lasted:

800/80 = 10 min

400/60 = 6,667 min

Which means that in total it would be:

10 + 6,667 = 16,667

In other words, Rhea took 16,667 minutes to travel 1,200 yards, so the speed would be:

1200 / 16,667 = 72

Therefore the average Rhea speed was 72 yd / min

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Find the scale factor of the smaller figure to the larger figure

guapka [62]

Answer:

#9: 1.2

#10: 1.25

Step-by-step explanation:

To find the scale factor of the smaller figure to the larger figure, we're going to be dividing the measurements of corresponding edges.

$\frac{larger figure}{smaller figure}$

If you wanted to find the scale factor of the larger figure to the smaller figure, you'd do: $\frac{smaller figure}{larger figure}$

Question #9:

Left edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{24}{20}$ = 1.2

Bottom edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{30}{25}$ = 1.2

(You should get the same number as long as the figures are similar.)

Question #10:

Bottom edges: $\frac{larger figure}{smaller figure}$ ⇒ $\frac{30}{24}$ = 1.25

(There are no corresponding edges with measurements that we can compare.)

~Hope this helps!~

4 0

3 years ago

The table shows the charges for using an internet service. Nicholas use the internet service for 16 hours and 40 Minutes last mo

yanalaym [24]

Answer:

A. Nicholas will have to pay less using plan A

B. He will pay US$ 4 less than plan B

Step-by-step explanation:

Let's compare how much Nicholas will pay on internet service in Plan A and plan B, after using it 16 hours and 40 minutes.

Plan A

Up to 10 hours = US$ 6

Every subsequent 1/2 hour: $1

10 hours + 14 (1/2 hour)

Nicholas will pay 6 + 14 * 1 = US$ 20

Plan B

Up to 12 hours = US$ 4

Every subsequent 1/2 hour: $2

12 hours + 10 (1/2 hour)

Nicholas will pay 4 + 2 * 10 = 24

7 0

3 years ago

Pippi sold ten more cups of lemonade that cups of iced tea. She sold 120 cups in all. How many cups of lemonade did she sell?

Kamila [148]

Answer:

65 cups

Step-by-step explanation:

If she sold 10 more cups of lemonade than tea and sold 120 cups total. I first would subtract 10 cups from 120 =110. then I divide 110 /2 = 55 cups

The 55 cups makes it equal then I add the 10 cups back to the Lemonade to get 55+10 = 65

So your answer would be 65 cups of lemonade

7 0

3 years ago

A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s

Naily [24]

Answer:

The mean is $\mu = 131$

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\sigma = 39$

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

$Z = \frac{X - \mu}{\sigma}$

$2 = \frac{209 - \mu}{39}$

$209 - \mu = 2*39$

$\mu = 209 - 78$

$\mu = 131$

The mean is $\mu = 131$

7 0

3 years ago

Please please help with this. i need all 10 plsss. will mark as brainliest

iren2701 [21]

Answer:

1) (x+3)(x+4)

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6) (x+3)(x+8)

7) (x-2)(x-8)

8) (x+4)(x-1)

9) (x-9)(x+5)

10) (x-8)(x+2)

5 0

3 years ago