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Zielflug [23.3K]

3 years ago

13

One and read or both rode bicycles from the park to Main Street the graphs below represent the time and distance for each studen

ts ride who rode more slowly justify your answer.

1 answer:

Harman [31]3 years ago

7 0

Juan did.

The line on his graph takes longer to get to 8 blocks.;-D

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If perpendiculars from any point within an angle on its arms are equal, prove that it lies on the bisector of that angle

Oxana [17]

Your question can be quite confusing, but I think the gist of the question when paraphrased is: P<span>rove that the perpendiculars drawn from any point within the angle are equal if it lies on the angle bisector?

Please refer to the picture attached as a guide you through the steps of the proofs. First. construct any angle like </span>∠ABC. Next, construct an angle bisector. This is the line segment that starts from the vertex of an angle, and extends outwards such that it divides the angle into two equal parts. That would be line segment AD. Now, construct perpendicular line from the end of the angle bisector to the two other arms of the angle. This lines should form a right angle as denoted by the squares which means 90° angles. As you can see, you formed two triangles: ΔABD and ΔADC. They have congruent angles α and β as formed by the angle bisector. Then, the two right angles are also congruent. The common side AD is also congruent with respect to each of the triangles. Therefore, by Angle-Angle-Side or AAS postulate, the two triangles are congruent. That means that perpendiculars drawn from any point within the angle are equal when it lies on the angle bisector

4 0

4 years ago

g 78% of all Millennials drink Starbucks coffee at least once a week. Suppose a random sample of 50 Millennials will be selected

Tatiana [17]

Answer:

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

We know that n = 50 and p =0.78.

We need to check the conditions in order to use the normal approximation.

$np=50*0.78=39 \geq 10$

$n(1-p)=50*(1-0.78)=11 \geq 10$

Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:

$p \sim N (p, \sqrt{\frac{p(1-p)}{n}})$

With the following parameters:

$\mu_ p = 0.78$

$\sigma_p = \sqrt{\frac{0.78*(1-0.78)}{50}}= 0.0586$

6 0

3 years ago

If 2a + 7b+2c=16 and 2a + 3b +2c= 8, then b = ?<br> (A)-2<br> (B) O<br> (C) 2<br> (D) 4<br> (E) 6

Sauron [17]

Answer:

(C) 2

Step-by-step explanation:

Given equations 2a + 7b+2c=16 and 2a + 3b +2c= 8, you want to know the value of b.

<h3>Solution</h3>

The coefficients of 'a' and 'c' are the same in the two equations, so we can eliminate those variables by subtracting one equation from the other. We can keep the resulting coefficient of 'b' positive if we subtract the second equation from the first.

(2a +7b +2c) -(2a +3b +2c) = (16) -(8)

4b = 8 . . . . . . . simplify

b = 2 . . . . . . . divide by 4

5 0

1 year ago

Felipe received a $40.00 gift card for a photo center. He used it to buy prints that cost 8 cents each. The remaining balance, B

Neko [114]

For better representation, I think the function is written as:

B(x) = 40.00 - 0.08x

This is much more comprehensive. The variable x represents the number of prints. So, if x=40 prints, we replace this to the x in the equation to find the balance B.

B = 40 - 0.08(40)
<em>B = $36.8</em>

4 0

3 years ago

Btw John makes 9$ an hour and amber makes 8$ an hour. REMEMBER TO ANSWER IN MINUTES NOT HOURS.

erik [133]

Answer:

John: 333.3333mins

Amber: 375mins

6 0

2 years ago