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Nadusha1986 [10]
3 years ago
11

4=16/x I really need help with this

Mathematics
2 answers:
amid [387]3 years ago
6 0

Answer:

here

4=16/x

or, x = 16/4

x = 4

kvasek [131]3 years ago
4 0

Answer:

x=4

Step-by-step explanation:

You might be interested in
line passes through the point (-3,-4) and its y-intercept is (o, -9). What is the equation of the line that is parallel to the f
12345 [234]

Answer:

y=-\frac{5}{3}x-2

Step-by-step explanation:

The first line has a slope of -5/3 found using the points in the slope formula.

m=\frac{y_2-y_1}{x_2-x_1} =\frac{-9--4}{0--3}=\frac{-9+4}{0+3}=\frac{-5}{3}

Parallel lines have the same slope. So -5/3 is the slope of the second line. Write its equation using the point slope form y-y_1=m(x-x_1).

y--7=-\frac{5}{3}(x-3)\\y+7 = -\frac{5}{3}(x-3)\\y=-\frac{5}{3}x + 5 -7\\y=-\frac{5}{3}x-2

7 0
3 years ago
The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6.
Wittaler [7]

Answer:

a) There is a 10.75% probability of observing less than 60 hits in an hour.

b) The 99th percentile of the distribution of the number of hits is 95.21 hits.

c) There is a 24% probability of observing between 80 and 90 hits an hour

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem, we have that

The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6, so \mu = 75, \sigma = 8.6.

a) What’s the probability of observing less than 60 hits in an hour? Use the normal approximation

This is the pvalue of Z when X = 60. So

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

Z = \frac{60 - 75}{8.6}

Z = -1.74

Z = -1.74 has a pvalue of 0.1075. This means that there is a 10.75% probability of observing less than 60 hits in an hour.

b) What’s the 99th percentile of the distribution of the number of hits?

What is the value of X when Z has a pvalue of 0.99.

Z = 2.35 has a pvalue of 0.99

So

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

2.35 = \frac{X - 75}{8.6}

X - 75 = 20.21

X = 95.21

The 99th percentile of the distribution of the number of hits is 95.21 hits.

c) What’s the probability of observing between 80 and 90 hits an hour?

This is the pvalue of the zscore of X = 90 subtracted by the pvalue of the zscore of X = 80.

For X = 90

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

Z = \frac{90 - 75}{8.6}

Z = 1.74

Z = 1.74 has a pvalue of 0.95907

For X = 80

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

Z = \frac{80 - 75}{8.6}

Z = 0.58

Z = 0.58 has a pvalue of 0.71904

So

There is a 0.95907 - 0.71904 = 0.24003 = 24% probability of observing between 80 and 90 hits an hour

6 0
3 years ago
Solve for z<br><br> Please help me, thank u!!!
gizmo_the_mogwai [7]

-3.6

Step-by-step explanation:

z/(-2) + -5 = -3.2 → times -2

z + 10 = 6.4

z = 6.4 - 10

z = -3.6

3 0
3 years ago
This is the last one!!!
Veronika [31]

Answer:

B

Step-by-step explanation:

the mean goes up more than the median

3 0
3 years ago
One serving of oatmeal provides 16% of the fiber you need daily you must get the remaing 21 grams of fiber from other sources ho
alekssr [168]
This means 21g is 100-16%=84%.
21x0.16=3.36
21+3.36=24.36
3 0
4 years ago
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