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3 years ago

Identify an equation in point-slope form for the line parallel to y = 3x-7 that

2 answers:

8 0

Answer:The equation of the line parallel to (3x - y = 7) passes through the point (-5, -3) is y = 3x + 2 and this can be determined by using the one-point slope form.

Bess [88]3 years ago

7 0

Answer:

B. y + 2 = 3(x + 3)

Step-by-step explanation:

Given line:

y = 3x - 7

Its slope is 3.

The parallel line has same slope and passes through ( - 3, - 2).

Its equation is:

y - (- 2) = 3(x - (-3))
y + 2 = 3(x + 3)

Correct choice is B

You might be interested in

What is the domain of this function? (6, 12) (10, -12) (8, 2) (20, -7)

Ksju [112]

Answer:

Domain: 6,10,8,20

Step-by-step explanation:

Domain is basicly the x-value.

8 0

3 years ago

Read 2 more answers

3.In 1995, the Educational Testing Service in Princeton, New Jersey (which administers SAT exam) re-centered the scores so that

Travka [436]

Answer:

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they score between 900 and 1,100, or they score outside this range. The probability of a student scoring between 900 and 1,100 is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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

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

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

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

And p is the probability of X happening.

About 40 percent of these students’ scores were between 900 and 1,100.

This means that $p = 0.4$ .

a)Based on this estimate, what is the probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100?

This is $P(X < 4)$ when $n = 10$ . So

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0060$

$P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403$

$P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209$

$P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0060 + 0.0403 + 0.1209 + 0.2150 = 0.3822$

38.22% probability that of 10 randomly selected students, lessthan four will be between 900 and 1,100

8 0

4 years ago

(3×10 – 4)(2×1010) whats the scientific notion

Rudik [331]

The result of the multiplication in scientific notation is given by:

$6 \times 10^{6}$

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

When we multiply two numbers in scientific notation, we multiply the bases and add the exponents.

For this problem, the numbers are given by:

$3 \times 10^{-4}, 2 \times 10^{10}$

The result of the multiplication is given by:

$3 \times 10^{-4} \times 2 \times 10^{10} = 6 \times 10^{-4 + 10} = 6 \times 10^{6}$

The result of the multiplication in scientific notation is given by:

$6 \times 10^{6}$

More can be learned about scientific notation at brainly.com/question/16394306

#SPJ1

6 0

2 years ago

Can you ever use a calculator to determine if a number is rational or irrational

Tcecarenko [31]

By definition and according to Google:

"Irrational numbers cannot be represented as terminating or repeating decimals."

So the answer to your question would have to be 'no' as calculators were designed to give us approximate answers when dealing with irrational numbers.

It would be hard to guess whether a large number produced by a calculator is irrational or not given that fact that many rational numbers can be incredibly long.

4 0

4 years ago

Water is placed in a cellular bucket on a bench The book has a diameter of 12 in and a height of 12 in The bucket is capable of

Ilya [14]

Answer:

bucket of water = 50.397 lbs

Step-by-step explanation:

Pi(r^2)(h) = volume

3.14(6^2)(12) = 1356.48 in^3 = volume of bucket

one ft^3 = 12 x 12 x 12 = 1728 in^3

1356.48/1728 = 0.785 ft^3 (volume of bucket)

0.785(64.2) = 50.397 lbs

6 0

3 years ago