All categories

3 years ago

3. Points A, B, and Care collinear, and B lies

Mathematics

1 answer:

Julli [10]3 years ago

6 0

Answer:

So, Answer is 30

Step-by-step explanation:

2x+2+3x+6=48
5x+8=48
5x=48-8
5x=40
x=40/5
x=8

BC=3x+6
BC=3*8+6
BC=30

You might be interested in

You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly sele

Damm [24]

Answer:

The margin of error for this estimate is of 14.79 yards per game.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.093

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.

This means that $n = 20, s = 31.61$

What is the margin of error for this estimate?

$M = T\frac{s}{\sqrt{n}}$

$M = 2.093\frac{31.61}{\sqrt{20}}$

$M = 14.79$

The margin of error for this estimate is of 14.79 yards per game.

3 0

3 years ago

Ebony's bank balance 1st reached $400 on Day 4. The last day her balance was $400 was Day 8.

Tanya [424]

Ebony’s bank balance is $400 was Day 8 and this can be explained below.

<h3>How to explain the information?</h3>

Jade cannot be true because for every transaction made during withdraws, a little amount of money is collected and as such the amount will never remain $400.

Note that the scenario for the above to occur is:

On day 4, her balance = $400

On day 5, her balance = $40

On day 6, her balance = $400

On day 7, her balance = $400

On day 8, her balance = $400

Another fact is that since she deposited 400 at first, on day 8, there will be a 0 increase so the amount will still be 400.

Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.

Learn more about estimation on:

brainly.com/question/107747

#SPJ1

6 0

1 year ago

Guys I need the right answer ASAP PLZ read the question and give me a STEP BY STEP EXPLANATION with the correct answer plz I nee

Gwar [14]

Answer:

Number 3

Step-by-step explanation:

The reason this is so is because he is looking for the amount of peaches he can buy. The equation that is number one represents that because it say 3.18 + 1.19p ≤ 10.00 showing that he wants an amount of peaches that costs less than 10.00. 1.19p standing for the amount of peaches and 3.18 representing the pomegranates.

5 0

3 years ago

For a class experiment, Danny's class weighed a log before and after subjecting it to termites. Before subjecting it to termites

m_a_m_a [10]

Answer:

4.75 pounds

Step-by-step explanation:

Before the termites: 5 pounds

After the termites: 1/4 of a pound

Amount that the termites took: x

5 - x = 1/4

Add x to both sides of the equation

5 = 1/4 + x

Subtract 1/4 from both sides of the equation

4 3/4 = x

4 3/4 = 4.75

The termites took 4.75 pounds from the log

Hope this helps :)

7 0

3 years ago

The average of 5 numbers is 20. what is the sum of these same numbers?

Vinil7 [7]

Average = (A₁+A₂+A₃+A₄+A₅)/5. Since average = 20 (GIVEN), then:

20 = (A₁+A₂+A₃+A₄+A₅)/5

Or (A₁+A₂+A₃+A₄+A₅) = 20x5

(A₁+A₂+A₃+A₄+A₅) = 100

4 0

3 years ago