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Delvig [45]
3 years ago
9

Find x show steps too please will give brainliest

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

x = 7/10

Step-by-step explanation:

9/5 x -2/5 = (8x+3)/10

get a common denominator of 10

9/5 x * 2/2 - 2/5 * 2/2 = (8x+3)/10

18 /10 x - 4/10 = (8x+3)/10

multiply by 10 on each side to clear the fractions

10 *(18 /10 x - 4/10) = 10*(8x+3)/10

distribute

10 *(18 /10 x) -10* 4/10) = 10*(8x+3)/10

18x - 4 = 8x+3

subtract 8x from each side

18x-8x -4 = 8x+3 -8x

10x-4 = 3

add 4 to each side

10x-4+4 = 3+4

10x = 7

divide by 10

10x/10 = 7/10

x = 7/10

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5
Elina [12.6K]

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

4 0
3 years ago
The average age of the 8 people in room A is 25. The average age of the 12 people in room B is 50. If the people in the 2 rooms
eduard
The average would be the total amount divided by the 2 groups, so the answer would be 37.5 years old.
7 0
3 years ago
A pack of pencils cost $8, but the price went<br> up to $12. What is the percent of increase?
sp2606 [1]

Answer:

A pack of pencil' price=$8

Price went up=$12

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6 0
3 years ago
Find the lateral area of a cylinder whose radius is 6 cm and height is 20 cm.
zaharov [31]
The surface area of a cylinder is define by the formula S.A.=2πrh+2<span>πr^2, where the first part of the formula refers to the lateral area, perimeter, or circumference and the second part to the area of the bases, which are circles.

On this exercise it is asked to find the lateral area of a cylinder whose radius is 6 cm, and has a height of 20cm. To find the lateral area of the cylinder you should substitute this values into the formula, S.A.=2</span>πrh, and as can be seen the answers are given in terms of <span>π or pi.

S.A.=2</span><span>πrh
S.A.=2</span><span>π(6cm)(20cm)
S.A.=2</span><span>π(120cm)
S.A.=240</span>π cm^2

The lateral area of the cylinder is 240
<span>π cm^2 or in other words letter B from the given choices.</span>
7 0
3 years ago
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Answer:

140/4=35mph

Step-by-step explanation:

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2 years ago
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