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love history [14]
2 years ago
14

Colton has 8 88 comedy movies, 6 66 action movies, 5 55 fantasy movies, and 1 11 drama movie on his list of favorite movies. For

every 5 55 movies on the list, there are 2 22 _ _ _ _ ____\_, \_, \_, \_ movies. Choose 1 answer: Choose 1 answer: (Choice A) A Comedy (Choice B) B Action (Choice C) C Fantasy (Choice D) D Drama
Mathematics
1 answer:
Ostrovityanka [42]2 years ago
6 0

Answer:

(Choice A) A comedy

Step-by-step explanation:

The total number of movies is 8 + 6 + 5 + 1 = 20.

2 movies out of every 5 movies corresponds to 2/5.

For 20 movies, this 2/5 × 20 = 8 movies.

This corresponds to comedy movies.

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At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0.25
denpristay [2]

Percent of red lights last between 2.5 and 3.5 minutes is 95.44% .

<u>Step-by-step explanation:</u>

Step 1: Sketch the curve.

The probability that 2.5<X<3.5 is equal to the blue area under the curve.

Step 2:

Since μ=3 and σ=0.25 we have:

P ( 2.5 < X < 3.5 ) =P ( 2.5−3 <  X−μ < 3.5−3 )

⇒ P ( (2.5−3)/0.25 < (X−μ)/σ < (3.5−3)/0.25)

Since, Z = (x−μ)/σ , (2.5−3)/0.25 = −2 and (3.5−3)/0.25 = 2 we have:

P ( 2.5<X<3.5 )=P ( −2<Z<2 )

Step 3: Use the standard normal table to conclude that:

P ( −2<Z<2 )=0.9544

Percent of red lights last between 2.5 and 3.5 minutes is 0.9544(100) = 95.44% .

3 0
2 years ago
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.
irinina [24]
A randomly selected car with no 4 wheel drive....so there are 40 cars with no 4 wheel drive

cars with 3rd row seats...that do not have 4 wheel drive...there are 12

so the probability is : 12/40 = 0.3 <==
5 0
2 years ago
Read 2 more answers
The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to
DerKrebs [107]

Answer:

Option 4 is correct.

The equation 4x^2 -24x + 4y^2 + 72y = 76 is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

Step-by-step explanation:'

Given equation: 4x^2 -24x + 4y^2 + 72y = 76

First group the terms with x and those with y;

(4x^2-24x)+(4y^2+72y) = 76

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒4(x^2-6x) +4(y+18y) = 76

or

4(x^2 -6x +3^2 -3^2) + 4(y^2 +18y +9^2 -9^2) = 76

4(x^2-6x + 3^2) - 36 + 4(y^2+18y +9^2) - 324 = 76

4(x-3)^2 + 4(y+9)^2 - 360 =76

Add 360 on both sides we get;

4(x-3)^2 + 4(y+9)^2 =360 +76

Simplify:

4(x-3)^2 + 4(y+9)^2 =436

Therefore, the given equation is equivalent to 4(x-3)^2 + 4(y+9)^2 =436

5 0
2 years ago
Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 On a coordinate plane, 2 solid straight lines are shown
ella [17]

Answer:

4

Step-by-step explanation:

the answer is 4 so d on edge .

8 0
2 years ago
Read 2 more answers
Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observ
Dafna11 [192]

Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?

Solution: The five number summary denotes:

Minimum = 19

First Quartile = 32

Median = 47

Third Quartile = 61

Maximum = 77

Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.

Therefore, there are 7 observations that are strictly less than 32

3 0
2 years ago
Read 2 more answers
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