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MA_775_DIABLO [31]

3 years ago

13

what does the slope of a distance -time graph represent? can distance -time sketch be parallel to the time axis?

1 answer:

Ivahew [28]3 years ago

7 0

Slope if distance time graph represent velocity or speed.

Yes, it can be parallel to time axis if the object is at rest position

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Linda made $238 for 17 hours of work.

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238/17= 14 dollars per hr
168/14= 12 hrs
Final answer: 12 hrs

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jane baked 56 cookies for her friends she gaved each friend 7 cookies how many of her friend got cookies

algol13

Answer: 8

Step-by-step explanation:

56 ÷ 7 = 8

8 of her friends got cookies

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Bob is training for a race. Bob ran 14.6 miles away from his home. Then bob ran 9.8 miles toward his home. Finally bob ran 5.3 m

Maksim231197 [3]

10.1 miles from his home

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3 years ago

Hokiris ladder has two legs that are each 8 feet long. When the ladder is opened safely and locked for use, the legs are 4 feet

guajiro [1.7K]

To solve this problem you must apply the proccedure shown below:

1- The ladder forms an isosceles triangle, because it has two equal sides.

2- Let's call the angle $\alpha$ . To calculate it , you can divide the triangle into two equal right triangles and the angle $\alpha$ will be divided into two equal parts too. Therefore, you can calculate the half of the angle and then multiply it by two, as following:

$Sin^{-1}(\alpha 1)=opposite/hypotenuse$

$Sin^{-1}(\alpha1)=8/2\\ \alpha1=14.47 degrees$

$\alpha =2\alpha 1\\ 2=2(14.47degrees)\\ \alpha =28.95degrees$

The answer is: $28.95degrees$

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4 years ago

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