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2 years ago

If you can bike 15 miles per hour, how long will it take you to bike 5 miles?

Mathematics

2 answers:

RideAnS [48]2 years ago

5 0

Answer:

20 min

Step-by-step explanation:

5 is 1/3 of 15

That means that the time is 1/3 of a hour which is 20 min

Dafna11 [192]2 years ago

3 0

5 miles is 1/3 the distance of 15 miles

if it takes you an hour to go 15 miles it will take you 1/3 the time to go 5 miles.

1 hour (60 minutes) / 3 = 20 minutes

it will take you 20 minutes

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2 years ago

Which best describes the equation that the graph represents?

hoa [83]

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is the slope equal to 0.6 or 1.8?

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2 years ago

I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

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2 years ago

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

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2 years ago