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3 years ago

The points (-4, 3) and (4, r) lie on a line with slope 1/2 Find the missing coordinate r.

Mathematics

1 answer:

melisa1 [442]3 years ago

7 0

Answer:

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

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What is the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high? A. 900 cu. m B. 12 cu. m C. 9

lutik1710 [3]

To find volume of a rectangular prism, you simply need to multiply length times width times height. We know from the text that our block of ice is 3 meters long, 1.5 meters wide, and 2 meters high. So all we need to do is multiply:

3 * 1.5 = 4.5

4.5 * 2 = 9

The block of ice has a volume of 9 cubic meters.
Choice C is your correct answer.
Hope that helped! =)

4 0

3 years ago

Read 2 more answers

How many hours did they drive in all please explain why

loris [4]

Answer:

The Jacobys drove 19 1/2 hours from Monday to Thursday.

7 0

3 years ago

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State the hundred thousands place for 7,832,906,215

juin [17]

Answer:

Step-by-step explanation:

6 is the thousands place

0 (right next to it) is the 10 thousands place

9 is the hundred thousands place. There is only 1 nine present so the answer is unique.

4 0

3 years ago

Create a system of equations to represent the word problem. Then solve using the linear combination/elimination method. Show all

Leno4ka [110]

Answer:

Solution given:

model A printers [a] prints=80books per day

model B printers [b] prints=55books per day

total no of printers =9

no of model A printers be x

and

no of model B printers be [9-x]

According to the question;

ax+(9-x)b=670 books

substituting value of a and b; we get

80x+(9-x)55=670

80x-55x+495=670

25x=670-495=175

x= $\frac{175}{25}$ =7

So;

no of model A printers =x=7

no of model B printers =9-x=9-7=2

is your answer.

8 0

2 years ago

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Discrete R.V. Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are

Tom [10]

Answer:

a) p=0.2

b) probability of passing is 0.01696

c) The expected value of correct questions is 1.2

Step-by-step explanation:

a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.

b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6

$P(X=k) = \binom{n}{k}p^{k}(1-p)^{n-k} = \binom{6}{k}0.2^{k}(0.8)^{6-k}$ .

Recall that $\binom{n}{k}= \frac{n!}{k!(n-k)!}$ In this case, the student passes if X is at least four correct questions, then

$P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696$

c)The expected value of a binomial random variable with parameters n and p is $E[X] = np$ . IN our case, n=6 and p =0.2. Then the expected value of correct answers is $6\cdot 0.2 = 1.2$

5 0

3 years ago