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Sholpan [36]
3 years ago
14

Help really quick pleaseee and thankss :)

Mathematics
1 answer:
ohaa [14]3 years ago
4 0

Answer:

They are adjacent.

Step-by-step explanation:

2x + 4x = 90°

6x = 90°

therefore x = 90°/6 = 15°

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Which of the following sentences has both a compound subject and a compound object?
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<span>C. Jane and Liza love books and music. Because Jane and Liza is a compound subject and books and music is a compound object
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4 0
4 years ago
What is the area of a trapezoid<br> 2 in<br> 6 in<br> 7 in<br> square inches
vredina [299]

Answer:

Step-by-step explanation:

It’s 2x6x7 = 84

8 0
3 years ago
For every 1 litre of water used to make a medicine, 269ml of sucrose and 47ml of saline solution are used. Express the amount of
leonid [27]

Answer:

1000 : 269 : 47

Step-by-step explanation:

A ratio is a way of comparing the value or amount of one quantity to another.

We are to find the ration of water to sucrose to saline solution, hence, it must remain in that order.

Water : Sucrose : Saline solution

The amount of water is 1 litre (1 * 1000 ml = 1000 ml)

The amount of sucrose is 269 ml

The amount of saline solution is 47 ml

Therefore, the ratio of water to sucrose to saline solution is:

W : S : SS = 1000 : 269 : 47

Since 1000, 269 and 47 have no common factors, that is the simplest form of the ratio.

3 0
3 years ago
From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67 Estimate the hei
mamaluj [8]
Because the problem represents right angle we can use simple geometric functions to determine size of sides of triangle and its angles if needed.

Since we have angle at point that is 42 feets away from base of the building and we need lenght of side that is oposite from that angle that means that we need some trigonometric function that includes those 2 sides.

that function is tangens.
tan67 = oposite side/side next to angle

tan67 = x/42
x = 42*tan67
x = 98.94 feet

Answer is D 99 feet
5 0
3 years ago
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders; that is, they have been arre
Veseljchak [2.6K]

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that p = 0.09

41 people arrested for DUI in Illinois are selected at random.

This means that n = 41

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1).

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

E(X) = np = 41*0.09 = 3.69

d. What is the standard deviation of the number of repeat offenders?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83

4 0
3 years ago
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