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2 years ago

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Amir is building a birdhouse that looks like a castle. The diagram shows the roof of the birdhouse. He plans to paint the roof r

ed, but needs to know the surface area to buy the right amount of paint. What is the surface area of the roof, including the bottom?

1 answer:

Paul [167]2 years ago

6 0

Answer:

0.24

Step-by-step explanation:

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A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probabili

Sholpan [36]

Answer and explanation:

Given : A driving exam consists of 29 multiple-choice questions. Each of the 29 answers is either right or wrong. Suppose the probability that a student makes fewer than 6 mistakes on the exam is 0.26 and that the probability that a student makes from 6 to 20 (inclusive) mistakes is 0.53.

Let X be the number of mistake

$P(X$

$P(6\leq X\leq 20)=0.53$

To find : The probability of each of the following outcomes.

a) A student makes more than 20 mistakes

i.e. $P(X>20)$

$P(X>20)=1-P(X\leq 20)$

$P(X>20)=1-(P(X\leq 5)+P(6\leq X\leq 20))$

$P(X>20)=1-(0.26+0.53)$

$P(X>20)=1-(0.79)$

$P(X>20)=0.21$

b. A student makes 6 or more mistakes

i.e. $P(X\geq 6)=1-P(X$

$P(X\geq 6)=1-0.26$

$P(X\geq 6)=0.74$

c. A student makes at most 20 mistakes

i.e. $P(X\leq 20)=1-P(X>20)$

Using 'a' part $P(X>20)=0.21$

$P(X\leq 20)=1-0.21$

$P(X\leq 20)=0.79$

d. Which two of these three events are complementary?

The complement of an event happening is the exact opposite: the probability of it not happening.

According to definition,

Option a and c are complementary events.

6 0

2 years ago

Read 2 more answers

Jared is standing on the roof of a 100 meter building doing some surveying. He spots a delivery truck at an angle of depression

just olya [345]

1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.

2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2

(√3)/2 = x/100 and x = (100√3)/2

and x = (50.√3) = 86.60 m

8 0

3 years ago

Read 2 more answers

Can anyone Help I have 25 questions, 2hr 40mins remaining,

11Alexandr11 [23.1K]

Combining the like-terms, the result of the addition of polynomials f(x) and g(x) is given by:

$f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}$

<h3>How do we add polynomials?</h3>

We add polynomials combining the like-terms, that is, adding terms with the same exponent.

In this problem, the polynomials are:

$f(x) = 3x^{\frac{1}{2}} + 7x^{-\frac{1}{4}} + 8x^{-4}$

$g(x) = -\frac{7}{4}x^{\frac{1}{2}} + 12x^{-\frac{1}{4}} - 21x^3$

Combining the like terms, the addition is given by:

$f(x) + g(x) = \left(3 - \frac{7}{4}\right)x^{\frac{1}{2}} + (7 + 12)x^{-\frac{1}{4}} + 8x^{-4} + 21x^3$

$f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}$

More can be learned about addition of polynomials at brainly.com/question/9438778

#SPJ1

8 0

1 year ago

2. 3 times the sum of a number x and 13

torisob [31]

Answer:

(x+13)2.3 if simplifying.

Step-by-step explanation:

sum means add. so x plus 13 times 2.3 or 2.3(x+13)

8 0

3 years ago

In 2003, the population of an African country was about 23.5 million people, which is 3 million more than 5 times the population

RUDIKE [14]

Answer:

Step-by-step explanation:

An equation is 5p + 2 = 18.5.

The 1950 population was approximately 3.3 million.

Step-by-step explanation:

If p million was the population in 1950 the equation is:

5p + 2 = 18.5

5p = 16.5

p = 16.5 / 5

p = 3.3 million.

4 0

2 years ago