Please help me when these 2 questions!!! thanks ily

Michel started to drive from New York to Washington, DC, which is 120 miles away, at 7:00 AM. For the first hour and a half of h

san4es73 [151]

Answer:

30 mph

Step-by-step explanation:

First we need to find the distance travelled in the first 1h30m.

We can do that multiplying the speed by the time travelled, so we have:

Distance1 = 50 * 1.5 = 75 miles

If the total distance is 120 miles, Michael still needs to travel 120 - 75 = 45 miles.

And if the total time travelled is 3 hours (10 AM - 7 AM), the second part of the travel has a duration of 3h - 1.5h = 1.5h

So if the distance is 45 miles and the time is 1.5 hours, we can find the speed of the second part:

45 = speed * 1.5

speed = 45/1.5 = 30 mph

6 0

3 years ago

Paul’s car is 18 feet long. He is making a model of his car that is 1/6 the actual size. What is the length of the model?

jekas [21]

Answer:

3 feet

Step-by-step explanation:

The car is 18 feet long

The model is 1/6 of the actual size which is 18 feet

The model's length = 1/6 × 18 = 3 feet

ALSO, PLEASE DO MARK ME AS BRAINLIEST UWU

HAVE A GREAT DAY ;)

7 0

3 years ago

(√x+1/√x)^2find dy/ dx and substitute 2 in dy/ dx

lions [1.4K]

Hello,
That's better.

I suppose $y=( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )^2 \\

y'=2*( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )*( \dfrac{1}{2 \sqrt{x} } - \dfrac{3}{2x \sqrt{x} } )$

If x=2 then
$y'=2*( \sqrt{2} + \dfrac{1}{ \sqrt{2} } )*( \dfrac{1}{2 \sqrt{2} } - \dfrac{3}{2*2* \sqrt{2} } )\\
=2* \dfrac{2+ \sqrt{2} }{ \sqrt{2} } * \dfrac{1}{4*\sqrt{2} } *(-1)\\
=- \dfrac{2+ \sqrt{2} }{4}$

3 0

3 years ago

Twenty-nine percent of americans say they are confident that passenger trips to the moon will occur in their lifetime. You rando

galina1969 [7]

Answer:

The probability is 0.0014

Step-by-step explanation:

When we have two possible outcomes p, q and we repeat the experiment multiple times, we apply the Binomial distribution, in this distribution the probability of getting exactly k successes in n trials is given by

$P(X=k) = nCk(p)^k(1-p)^{n-k}$

where p represents the probability of success. nCk refers to the combinations of k elements out of n elements.

In this case, p= .29 (the probability that the person says "yes" being confident that passenger trips to the moon will occur in their lifetime.

q = .71 (The probability that the person says "no")

We sample 200 americans, therefore, we have n = 200 and we need the probability that less than 40% of the people sampled answer "yes".

The 40% of 200 is 80. So, in other words, we need less than 80 people to answer yes to the question.

P(x<80) = P(x=0) + P(x=1) + P(x=2) + .... + P(x=79) = 0.00143466294 (we can use a Binomial Distribution calculator to compute this result)

Therefore, P(x < 80) = 0.0014

8 0

4 years ago

In a scalene triangle , the perimeter is 33, and the length of one side is 15, and the difference between the two other sides is

zepelin [54]

Answer:D

Step-by-step explanation:

4 0

3 years ago