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sweet-ann [11.9K]
2 years ago
8

Cars are either​ race-car fast, slightly​ fast, or normal. It turns out that ​10% of all cars are​ race-car fast, ​40% are sligh

tly​ fast, and 5% are normal. Of those that are​ race-car fast ​70% are​ red, as are ​45% of those that are slightly​ fast, and ​30% of those that are normal. what is the probability that a randomly selected car is red given that it is normal?
Mathematics
1 answer:
Murrr4er [49]2 years ago
7 0

Answer:

Probability = 37.5%

Step-by-step explanation:

Prob (Race fast) = 10%, Prob (Slight Fast) = 40%, Prob (Normal Car) = 50%

Prob (Red Car) = 70% of race fast cars, & 45% of slight fast cars, & 30% of Normal cars, & = (70% x 10%) + (45% x 40%) + (30% x 50%) = 7% + 18% + 15% = 40%

Prob (Normal & Red Car) = 30% of 50%  = 15%

Prob (Red car I Normal car) = Prob (Red & Normal Car I Normal Car) =  15% / 40% = 37.5%

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if one point is located at (-5,3) and another point is located at (7,-4). find the distance between the points. round to the nea
Novay_Z [31]

Answer:

13.9

Step-by-step explanation:

Use the distance formula:

d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\\\d = \sqrt{(7 - (-5))^2 + (-4-3)^2}\\d = \sqrt{(12)^2 + (-7)^2}\\d = \sqrt{144 + 49}\\d = \sqrt{193}\\

The square root of 193 rounded to the nearest tenth is 13.9.

7 0
3 years ago
(01.04 MC)Simplify the following expression: (−4)(−2)(−3) A -24 B -11 C 11 D 24
lys-0071 [83]

Answer:

-24

Step-by-step explanation:

So in short this is what it means:

-4×-2×-3

So to work it out this is what you do:

Deal with the first two numbers; -4 × -2=8

It becomes an eight without a negative because when multiplying numbers with the same signs(positive or negative) the answer is always a positive number thus the answer becomes 8.

Then 8×-3=-24

This is because when multiplying a negative and positive numbers the answer is always a negative numbers thus -24.

So automatically the answer is -24.

HOPE IT HELPED

6 0
3 years ago
Read 2 more answers
I need to know the distance between points x and y
USPshnik [31]

Answer:

Step-by-step explanation:

Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 − x1)2 + (y2 − y1)2 {Distance formula} 2. Distance of a point P(x, y) from the origin is given by d(0,P) = √ x2 + y2.

8 0
2 years ago
Samantha earns $8 per hour at a candy store. She receives a 5% raise. What are her new hourly earnings?
d1i1m1o1n [39]
$8 x 5 = 40

40/100 = 0.4

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Therefore Samantha now earns $8.4 per hour.
4 0
3 years ago
WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINLIEST!!
gizmo_the_mogwai [7]

Answer:

Area = 342cm^2, Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = \frac{40}{360} * (2*\pi * (4))   (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = \frac{40}{2\pi } * \pi * (4)^{2}   (4 is the arm length) = 320 cm^{2}

Square area  = side * side = 4 * 4 = 16 cm^{2}

Triangle =  (1/2) * base* height = (1/2) * 3 * 4 = 6cm^{2}

So total area is 320 + 16 + 6 = 342cm^2

3 0
3 years ago
Read 2 more answers
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