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Lostsunrise [7]
3 years ago
9

A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the

bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?
Mathematics
2 answers:
anyanavicka [17]3 years ago
8 0

Answer:

70 that my answer and so they can reach

serg [7]3 years ago
7 0

Answer:

70 degrees

Step-by-step explanation:

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Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What
crimeas [40]

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

#SPJ4

5 0
1 year ago
The width of a rectangle is two-thirds of its length, and its area is 216 square meters. What is the length? 12 m 18 m 27 m
olga55 [171]
Hope this helps you.

7 0
3 years ago
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Neporo4naja [7]

Answer:

The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)

<em></em>

Step-by-step explanation:

Given

f(x)=x^3-12x^2+35x-24

f(8) = 0

Required

Find all zeros of the f(x)

If f(8) = 0 then:

x = 8

And x - 8 is a factor

Divide f(x) by x - 8

\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}

Expand the numerator

\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}

Rewrite as:

\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}

Factorize

\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}

Expand

\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}

Factorize

\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}

\frac{f(x)}{x - 8} = (x - 1)(x - 3)

Multiply both sides by x - 8

f(x) = (x - 1)(x - 3)(x - 8)

<em>Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)</em>

7 0
2 years ago
Connor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes. What is the total numb
ladessa [460]

Answer:

Option D - 60

Step-by-step explanation:

Given : Connor made 9 shapes with straws. Each shape had 5 straws. Conor used 15 more straws to make more shapes.

To find : What is the total number of straws Connor used to make all the shapes?              

Solution :

To make 1 shape Connor required 5 straws.

To make 9 shape connor required 9\times 5=45 straws.

Now, there were 45 straws.

Conor used 15 more straws to make more shapes.

The total number of straws Connor used to make all the shapes are

45+15=60

Therefore, Option D is correct.

Cannor used 60 straws to make shapes.

3 0
3 years ago
How do you find standard deviation?
Mila [183]
You first work out the mean then for each number subtract the mean and square the result then work out the mean of those squared differences and take the square rot of that and you're done :)
3 0
3 years ago
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