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olasank [31]
3 years ago
7

What is the value of x

Mathematics
1 answer:
azamat3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is

\frac{10}{5x+10} = \frac{11}{121} = \frac{1}{11} ( cross- multiply )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

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The average adult gets 7.45 hours of sleep each night, with a standard deviation of 0.65 hours. A pharmaceutical company develop
eduard

Answer:

At least 8.96 hours of sleep to be in the top 1%.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 7.45, \sigma = 0.65

How many hours of sleep to be on the top 1%?

The top 1% is the 100 - 1 = 99th percentile, which is X when Z has a pvalue of 0.99. So X when Z = 2.327. Then

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

2.327 = \frac{X - 7.45}{0.65}

X - 7.45 = 0.65*2.327

X = 8.96

At least 8.96 hours of sleep to be in the top 1%.

8 0
4 years ago
What’s 5 divided by 6.2
Kruka [31]
5 divided by 6.2 is 0.80
6 0
3 years ago
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Evaluate the following expression.<br> (5x)"<br> 1
almond37 [142]

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

8 0
4 years ago
consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations
emmasim [6.3K]

Answer:

x=1 and x=4

Step-by-step explanation:

We have the following system of equations:

y=\sqrt{x} and y=x-2

To solve the problem, we need to equal the two equations:

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So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are x=-1 and x=-4.

Then, the factorized form of the polynomial is: (x-1)(x-4).

The, the solution to the system of equations is: x=1 and x=4.

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3 years ago
How many ways are there for 15 track runners to win 1st place, 2nd place and 3rd place?
const2013 [10]

Answer:

45

Step-by-step explanation: 15x3

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