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3 years ago

Find the value of x

Mathematics

1 answer:

anastassius [24]3 years ago

4 0

It would be 67 because its the same decrease as the other.

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Please help :( Calculate each mountain path grade to the nearest percent.

wariber [46]

The grade of the path in the mountain is calculated by determining first the ratio between the rise over the run and multiplying the ratio by 100%.

For Path A:

grade = (rise / run) x 100%
grade = (1414/ 3535) x 100% = 40%

Answer: 40%

For Path B:
grade = (rise / run) x 100%
grade = (4.26 m/ 22 m) x 100% = 19.36%

Answer: 19.36%

8 0

3 years ago

What is 6 3/5 Write your answer as a mixed number.

galina1969 [7]

Answer:

33/5

Step-by-step explanation:

6 3/5 = 33/5

6 x 5 = 30

30 + 3 = 33

33/5.

4 0

3 years ago

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A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runn

nikitadnepr [17]

Answer:

From first Newton's equation of motion:

${ \bf{v = u + at}}$

Substitute the variables:

${ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}$

Acceleration is 2 ms-²

5 0

3 years ago

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. If 64 women are

shtirl [24]

Answer:

0.3569 is the probability that they have a mean pregnancy between 266 days and 268 days.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 268 days

Standard Deviation, σ = 15 days

We are given that the distribution of lengths of pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

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

Standard error due to sampling =

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{15}{\sqrt{64}} = \frac{15}{8}$

P(pregnancy between 266 days and 268 days)

$P(266 \leq x \leq 268) = P(\displaystyle\frac{266 - 268}{\frac{15}{8}} \leq z \leq \displaystyle\frac{268-268}{\frac{15}{8}}) = P(-1.0667 \leq z \leq 0)\\\\= P(z \leq 0) - P(z < -1.067)\\= 0.5000 - 0.1431 = 0.3569 = 35.69\%$

$P(266 \leq x \leq 268) = 35.69\%$

6 0

3 years ago

What is the height, in inches, of a parallelogram that has a base of 3 feet and an area of 324 square inches?

AlekseyPX

The area of a parallelogram is just:

A=bh, we are given b=3ft, so b=36in and A=324in^2 so

324=36h dividing both sides by 36

h=9

So the height is 9 inches.

7 0

3 years ago

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