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Finger [1]
4 years ago
13

Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked 0.85 miles. Round each distance to the neare

st tenth of a mile. About how much further did Molly walk than her brother and sister combined?
Mathematics
1 answer:
Marina CMI [18]4 years ago
4 0
3.45 rounded to the nearest tenth is 3.5.
1.23 rounded to the nearest tenth is 1.2.
0.85 rounded to the nearest tenth is 0.9.
To find how much further Molly walked than her brother and sister combined, you'd have to combine the amount of miles Molly's brother and sister walked:
1.2 + 0.9 = 2.1
Next, you would have to subtract Molly's amount of miles walked with the combination of her brother and sister's miles walked:
3.5 - 2.1 = 1.4
So, Molly walked 1.4 more miles on her hike than her brother and sister had walked combined.
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Answer:

The distance travelled is 7.98×10³ miles.

Step-by-step explanation:

Given that the formula to find distance is Distance = Speed×Time. Then you have substitute the values into the formula :

distance = speed \times time

Let speed = 5.7×10²,

Let time = 1.4×10¹,

d = (5.7 \times  {10}^{2} ) \times (1.4 \times 10)

d = (5.7 \times 1.4) \times ( {10}^{2}  \times 10)

d = 7.98 \times  {10}^{3} miles

3 0
4 years ago
Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 2.49 on an exam. ​(a) Write a sentenc
Oduvanchick [21]

Answer:

a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

b) 1.39% of the class scored lower than your​ friend.

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.

You got a score of 2.49 on an exam. ​

(a) Write a sentence explaining what that means

A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

(b) Your friend got a​ z-score of negative 2−2. If the grades satisfy the Nearly Normal​ Condition, about what percent of the class scored lower than your​ friend? ​

This percentage is the pvalue of Z = -2.2

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7 0
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melisa1 [442]
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3 years ago
James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be
Deffense [45]

Answer:

8.0%

Step-by-step explanation:

We have been given that James Harmon pays $850.80 per year for his life insurance. If Mr. Harmon were to pay the premiums monthly, the payments would be $76.57.

First of all, we will find the amount paid for the year using the monthly rate by multiplying $76.57 by 12 (1 year = 12 months).

\text{Amount paid for the year using the monthly rate}=\$76.57\times 12

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Now, we will use percent change formula.

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\text{Percent change}=0.0799717912552891\times 100

\text{Percent change}=7.99717912552891\%

\text{Percent change}\approx 8.0\%

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3 years ago
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