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3 years ago

Help? i cant understand

Mathematics

1 answer:

Alex73 [517]3 years ago

7 0

Well a triangle equals 180 degrees so you must subtract 24 degrees and 88% to get the angle of

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Assume that random guesses are made for seven multiple choice questions on an SAT test, so that there are n=7 trials, each with

Vedmedyk [2.9K]

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

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.

In this question, we have that:

$n = 7, p = 0.5$

Find the probability that the number of correct answers is fewer than 4:

This is

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078$

$P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547$

$P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641$

$P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5$

P(X < 4) = 0.5

6 0

3 years ago

For which value of x does f(x) = 2

laila [671]

Answer:

Step-by-step explanation:

<em>Look a the picture</em>.

Draw the horizontal line <em>y = 2</em>.

Common point: (-4, 2).

Conclusion: f(x) = 2 → x = -4

8 0

3 years ago

2. Two angles have a common vertex but no common side. How can you tell whether the angles are vertical angles?

Maksim231197 [3]

Explanation:

The angles are <em>vertical angles</em> if the opposites of the rays forming one of the angles are the rays forming the other angle.

More formally, if V is the common vertex, and ...

R is a point on one of the rays forming Angle 1
S is a point on the ray that is the opposite of ray VR
T is a point on the other ray forming Angle 1
U is a point on the ray that is the opposite of ray VT

Then angle RVT and angle SVU are vertical angles.

___

Another way to say this is that points R, V, S are collinear, as are points T, V, U, and the two angles of interest are RVT and SVU.

If the above conditions cannot be met, then the angles are not vertical angles.

7 0

4 years ago

At each scooter's top speed, Brand A scooter goes 2 miles per hour faster than Brand B. If after traveling at its top speed for

KengaRu [80]

Answer:

Step-by-step explanation:

40.2=3(x+2)

134=10x+20

134-20=10x+20-20

114=10x

11.4=x

3 0

3 years ago

A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the

DedPeter [7]

Answer:

2 small; 3 large

Step-by-step explanation:

Using s and L for the number of small and large cars, respectively, we have ...

5s +8L = 34 . . . . number of passengers

s + L = 5 . . . . . . . number of cars

5s +8(5 -s) = 34 . . . . substitute for L

-3s +40 = 34

-3s = -6 . . . . . . subtract 40

s = 2 . . . . . . . . divide by -2

L = 5-2 = 3

2 small cars and 3 large cars were rented.

7 0

3 years ago