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3 years ago

5

The hypotenuse of a right triangle measures 7 cm and one of its legs measures 5 cm. Find the measure of the other leg. If necess

ary, round to the nearest tenth.

1 answer:

blsea [12.9K]3 years ago

8 0

Answer:

4.9

Step-by-step explanation:

We can use the following equation to solve

${5}^{2} + {x}^{2} = {7}^{2}$

Reduce

${x}^{2} = 24$

$x = \sqrt{24}$

or 4.9

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The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.

grandymaker [24]

A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A

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3 years ago

2. The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5. Suppose we going t

stiv31 [10]

Answer:

$P(\bar X>76)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 76 we got:

$z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2$

And if we use the complement rule and the normal standard distribution or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable who represent the score of golfers. We select a sampel size of 81.

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we want to find this probability:

$P(\bar X>76)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 76 we got:

$z =\frac{76-75}{\frac{4.5}{\sqrt{81}}}= 2$

And if we use the complement rule and the normal standard distribution or excel we got:

$P(Z>2) = 1-P(Z$

And we can find this using the ti 84 with the following code:

1-normalcdf(-1000, 76, 75, 0.5 )

6 0

3 years ago

The age of a father is two less than seven times the age of his son in two years the sum of their ages will be 57 if the son's p

ASHA 777 [7]

Answer:

$f = 7s -2$

$f + s =53$

Step-by-step explanation:

Given

Let

f = Father's age

s = Son's age

We'll solve this question, while reading through the instructions

From the first statement;

f is 2 less than 7 times s.

This means

$f = 7s -2$

In two years time, the father will be f +2 and the son will be s + 2

So, their sum is:

$(f+2) + (s + 2) = 57$

$f + 2 + s + 2 =57$

Collect like terns

$f + s =57-2-2$

$f + s =53$

So, the equations are:

$f = 7s -2$

$f + s =53$

5 0

3 years ago

Judi's father is 6feet tall the minimum height to ride a rollercoster is given in inches. How many inches tall is judi's father

iogann1982 [59]

Judi's father is 72 inches tall

5 0

4 years ago

Read 2 more answers

A quadratic rule for a particular parabola is of the form y = ax^2 + bx. The parabola passes through with the coordinates (-1, 4

Scilla [17]

Answer:

y = (4/7)x² - (24/7)(x)

Step-by-step explanation:

4 = a(-1)² + b(-1)

4 = a - b

0 = a(6)² + b(6)

36a + 6b = 0

b = -6a

4 = a - (-6a)

7a = 4

a = 4/7

b = -24/7

y = (4/7)x² - (24/7)(x)

6 0

4 years ago