Determine the number of x-intercepts that appear on a graph of eac<br> f(x) = (x + 1)(x - 3)(x

Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

So

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0

3 years ago

Compute the exact value of the function for the given x-value without using a calculator. You must show your work for full credi

yKpoI14uk [10]

F(2) = 5(2)
F(2) = 10

8 0

3 years ago

Read 2 more answers

Help to reaolve this problem?

Elanso [62]

B!
Hope this answer can help you!

3 0

4 years ago

Read 2 more answers

You are recreating a scale drawing at a different scale. The original scale is 1 cm : 8 m. The new scale is 1 cm : 2 m. In the o

densk [106]

Answer:

The segment should be 36 centimeters long

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The original scale is 1 cm : 8 m

∵ In the original drawing, the length of a segment is 9 centimeters

→ By using the ratio method

→ cm : m

→ 1 : 8

→ 9 : x

→ By using the cross multiplication

∵ 1 × x = 9 × 8

∴ x = 72 m

∴ The actual length of the segment is 72 m

∵ The new scale is 1 cm : 2 m

∵ The actual length of the segment is 72 m

→ By using the ratio method

→ cm : m

→ 1 : 2

→ y : 72

→ By using the cross multiplication

∵ y × 2 = 1 × 72

∴ 2y = 72

→ Divide both sides by 2 to find y

∴ y = 36

∴ The drawing length of the segment is 36 cm in the new scale

∴ The segment should be 36 centimeters long

6 0

3 years ago

what is the circumference of the circle with an arc length of 11 and an interior angle of 27° Round to nearest tenth plz

igor_vitrenko [27]

Answer:

146⅔ units

Step-by-step explanation:

27° : 11

360° : X

X = (11/27) × 360

X = 146 ⅔

6 0

3 years ago

Read 2 more answers

Determine the number of x-intercepts that appear on a graph of eac f(x) = (x + 1)(x - 3)(x - 4)