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3 years ago

What factors do you think are involved in determining the pitch of the roof? Explain your reasoning.

1 answer:

4 0

<span>Use the Pythagorean Theorem to solve. This will be a right triangle:
=
Let the slope = the hypotenuse = c
Let one side = a=8
Let the other side =b =15
Plug-in the values and solve for the c-term
Check you answer by plugging the value of "c" back into the orignial equation and solve.
.
=
=
=
=
=
17=c
.
Check by plugging into the original equation and solve.
=
=
289=289 [checks out]</span>

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IF i have 5 flu shots and six people in a business

kari74 [83]

You should definitely give one to the disabled person and 4 to the other people

7 0

3 years ago

Given f(x)=x+7 and g(x)=x-3 what is f(x)+g(x) ? A.2x+4 B.10x C.2x-7 D.-2x+10

Zinaida [17]

F(x)+g(x) = (x+7) + (x-3) =
x + 7 + x - 3 =
2x + 4

<span>
A.2x+4</span>

7 0

3 years ago

Read 2 more answers

A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o

Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

$\mu = 400, \sigma = 30$ .

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

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

$Z = \frac{420 - 400}{30}$

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

3 0

2 years ago

Write an equation for an ellipse centered at the origin, which has foci at (0,\pm\sqrt{63})(0,± 63 )left parenthesis, 0, comma

steposvetlana [31]

Answer:

$\frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

Step-by-step explanation:

Since the foci are at(0,±c) = (0,±63) and vertices (0,±a) = (0,±91), the major axis is the y- axis. So, we have the equation in the form (with center at the origin) $\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} }$ .

We find the co-vertices b from b = ±√(a² - c²) where a = 91 and c = 63

b = ±√(a² - c²)

= ±√(91² - 63²)

= ±√(8281 - 3969)

= ±√4312

= ±14√22

So the equation is

$\frac{x^{2} }{(14\sqrt{22}) ^{2} } + \frac{y^{2} }{91^{2} } = \frac{x^{2} }{4312 } + \frac{y^{2} }{8281 }$

8 0

3 years ago

Th the mean of the data is set 15 what number is missing<br> 18,16_,9,12,23

Wittaler [7]

Answer:

The missing number on the given data set is 12.

Step-by-step explanation:

Here, the set of data = 18,16_,9,12,23

Let us assume the missing number in the data = m

The mean of the data = 15

Total number of observations = 6

Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m

Also, $\textrm{ Mean of the given Data} = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}$

$\implies 15 = \frac{78+ m}{6} \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12$

or, m = 12

Hence, the missing number on the given data set is 12.

3 0

3 years ago