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3 years ago

Solve for a if the line through the two given points has the given slope.(a,5) and (1,−5),m=−2

Mathematics

1 answer:

Luba_88 [7]3 years ago

8 0

slope (m) = (y₂ - y₁)/(x₂ - x₁)

-2/1 = (a - 1)/(5 -(-5))

-2 = (a - 1)/10

-20 = a - 1

-19 = a

Answer: a = -19

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a student studies the same amount of time each day for a test in 4 days she studied 60 minutes which equation shows this relatio

Keith_Richards [23]

Y=mx
m=amount of time per day studied
y=time
x=number of days
we have
60=m(4)
divide by 4
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y=15x

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3 years ago

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Svetradugi [14.3K]

Answer:

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Step-by-step explanation:

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Lori want to distribute 35 peaches equally into baskets. she will use more than 1 but fewer than 10 baskets how many basket Lori

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3 years ago

What is the interquartile range (IQR) of the following data set 17 16 21 15 25 22 18 23 17

Pepsi [2]

IQR = 6

First locate the median $Q_{2}$ at the centre of the data arranged in ascending order. Then locate the lower and upper quartiles $Q_{1}$ and $Q_{3}$ located at the centre of the data to the left and right of the median.

Note that if any of the above are not whole values then they are the average of the values either side of the centre.

rearrange data in ascending order

15 16 ↓17 17 18 21 22 ↓23 25

↑

$Q_{2}$ = 18

$Q_{1}$ = $\frac{16+17}{2}$ = 16.5

$Q_{3}$ = $\frac{22+23}{2}$ = 22.5

IQR = $Q_{3}$ - $Q_{1}$ = 22.5 - 16.5 = 6

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3 years ago

Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia

Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

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:

$\mu = 75, \sigma = 12.5$