find the image of (5,7) obtained by translating 3 units to the right, followed by a reflection over the x-axis

An automobile manufacturer is concerned about a possible recall of its best-selling four-door sedan. If there were a recall, the

andrew11 [14]

Answer:

0.27

Step-by-step explanation:

Suppose A is the event of defect in the brake system and B is the event of defect in the fuel system,

We have given,

P(A) = 0.25,

P(B) = 0.17

P(A∩B) = 0.15 ( the probability of defects in both systems simultaneously is 0.15 ),

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.25 + 0.17 - 0.15

= 0.27

Hence, the probability that the defect is the brakes or the fueling system is 0.27.

8 0

2 years ago

Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70

kumpel [21]

Answer:

His acceleration is $\frac{1}{15}$ meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$ , where

$v_{f}$ is the final speed
$v_{i}$ is the initial speed
The unit of the acceleration is meters/second²

∵ Jim goes from 70 meters/minute (beginning speed) to

106 meters/minute (final speed) in 9 seconds

∴ His initial speed $v_{i}$ = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

∴ $\frac{70}{(1)(60)}=\frac{70}{60}=\frac{7}{6}$ meters/second

∴ $v_{i}$ = $\frac{7}{6}$ meters/second

∵ His final speed $v_{f}$ = 106 meters/minute

- Change it the meter per second

∴ $\frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}$ meters/second

∴ $v_{f}$ = $\frac{53}{30}$ meters/second

∵ The time of the change of his speed is 9 seconds

∴ t = 9

∵ The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$

- Substitute the values of t, $v_{i}$ and $v_{f}$ in the formula above

∴ $a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}$

∴ His acceleration is $\frac{1}{15}$ meters per seconds²

3 0

3 years ago

Which of following is the graph of y = -(x + 1)2 -3?

Len [333]

Answer:

See below.

Step-by-step explanation:

The graph of the quadratic equation is a parabola or u shaped graph. It has a vertex at (-1,-3) since h=-1 and k=-3 in the vertex form. It is also facing down since the leading coefficient is negative.

7 0

2 years ago

Read 2 more answers

3x+10+x solve for x thank you :)

weeeeeb [17]

Answer:

4x + 10

Step-by-step explanation:

8 0

2 years ago

A small company has 20,000 shares. Anastasia owns 400 of these shares. The company decides to split its shares. What is Anastasi

Pani-rosa [81]

The answer is the B one or 2%.

8 0

3 years ago

find the image of (5,7) obtained by translating 3 units to the right, followed by a reflection over the x-axis​

find the image of (5,7) obtained by translating 3 units to the right, followed by a reflection over the x-axis