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miss Akunina [59]
3 years ago
12

Assume that you are about to buy a car. There is a probability of 0.4 that you will purchase a new vehicle, and a probability of

0.5 that you will purchase a used vehicle. There is no probability that you will go home with more than one vehicle. The probability that you purchase no vehicle at all is:A. 0.9B. 1.0C. 0.1D. 0.0
Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

C. 0.1

Step-by-step explanation:

The sum of the probabilities of all possible events must equal 1.

Since there is no probability of purchasing two vehicles ore more, the events are:

- Purchase a new vehicle (0.5)

- Purchase a used vehicle (0.4)

- Purchase no vehicle at all (x)

The probability of not purchasing a vehicle is:

x=1-0.5-0.4\\x=0.1

The probability that you purchase no vehicle at all is: C. 0.1

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The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the l
choli [55]

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

Thus the cube root of the larger number is 9.

8 0
3 years ago
Solve the inequality. -6b>42 or 4b>-4
goldfiish [28.3K]
- 6b > 42 or 4b > - 4
Divide by - 6. Divide by 4.
b < - 7 Or b > - 1
7 0
3 years ago
A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyram
Harman [31]

Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$

$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$

$A=43.5+(3\times 65)$

$A=43.5+195$

$A=238.5 \ \text{inche}^2$

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

5 0
3 years ago
Please help i don’t understand this
swat32

Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.

In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.

These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.

So, the two rectangles are similar if the following is true.

4\div 5 = 11\div 12

In any proportion, the product of the inner terms must be the same as the product of the outer terms:

4\cdot 12 = 5\cdot 11 \iff 48=55

This is clearly false, and thus the two rectangles are not similar.

5 0
2 years ago
Find the area of each shaded sector. Round to the hundredths place.
kati45 [8]

Answer:

200

Step-by-step explanation:vbc i know

3 0
3 years ago
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