5,000 kilograms minus 825 kilograms

Anna drove 476 miles in 7 hours. On average, how fast did she drive in miles per hour? Express your answer in simplest form.

Dvinal [7]

Answer:

68 miles per hour

Step-by-step explanation:

5 0

3 years ago

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What type of triangle has side lengths 4, 4/15, and 16?

zvonat [6]

Answer:

answer a. Because 16^2=256

4^2+ 4/15^2=16.01

16.01<256 . Therefore, it is acute-angled acute

6 0

2 years ago

Point M is the midpoint of AB . Through point M a line segment XY is drawn, so that both XA and YB are perpendicular to AB . Pro

GaryK [48]

Answer:

See the proof below

Step-by-step explanation:

Let the line AB be a straight line on the parallelogram.

A dissection of the line (using the perpendicular line X) gives:

AY ≅ BX

Another way will be using the angles.

The angles are equal - vertically opposite angles

Hence the line AY ≅ BX (Proved)

8 0

3 years ago

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Mr Cole has 30 students in his class. He has twice as many girls than boys. What is the ratio of girla to boys?

Elis [28]

Answer:

12:1/2(3)

Step-by-step explanation: no problem homie

8 0

3 years ago

A state end-of-grade exam in American History is a multiple-choice test that has 50 questions with 4 answer choices for each que

Assoli18 [71]

Answer:

Q1) The student has a 0.01% probability of passing the test.

Q2) She has a 99.91% probability of passing in the test.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he gets it correct, or he gets it wrong. So we solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

Question 1.

There are 50 questions, so $n = 50$ .

The student is going to guess each question, so he has a $\pi = \frac{1}{4} = 0.25$ probability of getting it right.

He needs to get at least 25 question right.

So we need to find $P(X \geq 25)$ .

Using a binomial probability calculator, with $n = 50$ and $\pi = 0.25$ we get that $P(X \geq 25) = 0.0001$ .

This means that the student has a 0.01% probability of passing the test.

Question 2.

Now, we need to find $P(X \geq 25)$ with $\pi = 0.70$ . So $P(X \geq 25) = 0.9991$

She has a 99.91% probability of passing in the test.

7 0

4 years ago

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