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3 years ago

Shakes.

Mathematics

1 answer:

Olenka [21]3 years ago

4 0

Answer:

405 > 375

375 < 405

Step-by-step explanation:

< is less than

> is greater than

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Choose a number that X must equal to make the<br>following statement true: 4:9 = X:72

atroni [7]

Answer:

x=32

Step-by-step explanation:

i think you divide the 72 by 9 to find the answer that you times the 4 by. i got 8, so 8x4=32

8 0

3 years ago

Read 2 more answers

Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles p

denis23 [38]

Answer:

A) $X \sim N(68 , 25)$

B) the probability that is traveling more than 70 mph is 0.3446

C) the probability that it is traveling between 65 and 75 mph is 0.6449

D) 90% of all cars travel at least 56.85 mph fast on the freeway

Step-by-step explanation:

The speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour.

Mean = $\mu = 68 mph$

Standard deviation = $\sigma = 5 mph$

A) X ~ N( _____, _______ )

In general $X \sim N( \mu , \sigma^2)$

$\mu = 68 mph$

$\sigma = 5 mph$

$\sigma^2 = 5^2 = 25$

So, $X \sim N(68 , 25)$

B) If one car is randomly chosen, find the probability that is traveling more than 70 mph.i.e.P(X>70)

So, $Z = \frac{x-\mu}{\sigma}\\Z=\frac{70-68}{5}$

Z=0.4

Using Z table

P(Z>70)=1-P(Z<70)=1-0.6554=0.3446

Hence the probability that is traveling more than 70 mph is 0.3446

C) If one of the cars is randomly chosen, find the probability that it is traveling between 65 and 75 mph.

P(65<X<75)

$Z = \frac{x-\mu}{\sigma}$

AT x = 65

$Z=\frac{65-68}{5}$

Z=-0.6

AT x = 75

$Z=\frac{75-68}{5}$

Z=1.4

Using Z table

P(65<X<75)=P(-0.6<Z<1.4)=P(Z<1.4)-P(Z<-0.6)=0.9192-0.2743=0.6449

Hence the probability that it is traveling between 65 and 75 mph is 0.6449

D)90% of all cars travel at least how fast on the freeway?

Since we are supposed to find at least how fast on the freeway

So,P(X>x)=0.9

1-P(X<x)=0.9

1-0.9=P(X<x)

0.1=P(X<x)

Z value at 10% =-2.23

So, $Z=\frac{x-\mu}{\sigma}\\-2.23=\frac{x-68}{5}\\-2.23 \times 5 =x-68\\(-2.23 \times 5)+68=x$

56.85 = x

Hence 90% of all cars travel at least 56.85 mph fast on the freeway

8 0

3 years ago

F(x) = x^2 . What is g(x)?

Andrej [43]

Answer:

A. $g(x) = (2x)^2$

8 0

3 years ago

After the charity walk, Janey talked with friends from 11:25 A.M to 11:40 A.M Then lunch was served from 11:45 A.M until 2:10 P.

AlladinOne [14]

2 hours 25 minutes. Hope this helped.

3 0

3 years ago

Graph the system of inequalities y > -3, y < -|x+2|. Which two quadrants does the solution lie in?

blsea [12.9K]

Answer:

Quadrants 3 and 4

Step-by-step explanation:

we have

$y>-3$

$y$

using a graphing tool

The solution is the triangular shaded area between the three dashed lines

see the attached figure

The solution lies in Quadrants 3 and 4

5 0

4 years ago