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3 years ago

7

A line is represented by the equation y=x-7. What is the y-intercept of the line?

2 answers:

Alborosie3 years ago

5 0

The answer is -7 hope this helps

DedPeter [7]3 years ago

3 0

Answer: -7

In the slope-intercept format y = mx+b, b is always the y-intercept. If it is with a positive sign, the y-intercept is positive and if it is negative then the y-intercept is negative.

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Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe

Mashcka [7]

Answer:

4 pounds of lime and 5 pounds of pears

Step-by-step explanation:

I + P = 9

0.5l + 1.5P = 9.5

I = 9 - P

0.5(9 - P) + 1.5P = 9.5

4.5-0.5P + 1.5P = 9.5

4.5 + P (1P) = 9.5

P = 9.5-4.5 = 5

I = 9 - 5 = 4

Answer: 4 pounds of lime and 5 pounds of pears

5 0

3 years ago

Based on a poll, among adults who regret getting tattoos, 16% say that they were too young when they got their tattoos. Assum

e-lub [12.9K]

Answer:

The problem is incomplete, but it is solved using a binomial distribution with $n = 8$ and $p = 0.16$

Step-by-step explanation:

For each adult who regret getting tattoos, there are only two possible outcomes. Either they say that they were too young, or they do not say this. The answer of an adult is independent of other adults, which means that the binomial probability distribution is used 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.

16% say that they were too young when they got their tattoos.

This means that $p = 0.16$

Eight adults who regret getting tattoos are randomly selected

This means that $n = 8$

Find the indicated probability.

The binomial distribution is used, with $p = 0.16, n = 8$ , that is:

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

$P(X = x) = C_{8,x}.(0.16)^{x}.(0.84)^{8-x}$

3 0

3 years ago

A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a re

anzhelika [568]

Answer:

The volume of the rectangular prism is $\tfrac{175}{6} in^{3}$ .

Step-by-step explanation:

Here, box is in the shape of rectangular prism means cuboid shape.

Given:

Rectangular prism base area is $23\tfrac{1}{3}$ in².

Height of the prism is $1\tfrac{1}{4}$ in.

Calculation:

Volume of the rectangular prism is nothing but the volume of cuboid.

Volume of the cuboid is expressed as follow:

V=lbh …… (1)

Base are of the rectangular prism is expressed as follows:

A=lb …… (2)

Substitute the equation (2) in (1). We get the expression for volume as follows:

V=Ah

Substitute $23\tfrac{1}{3}$ in² for A and $1\tfrac{1}{4}$ in for h in above equation as follows:

$V=23\tfrac{1}{3}\times 1\tfrac{1}{4}$

$V=\tfrac{70}{3}\times \tfrac{5}{4}$

$V=\tfrac{175}{6} in^{3}$

Thus, the volume of the rectangular prism is $\tfrac{175}{6} in^{3}$ .

6 0

3 years ago

Factorise and simplify (x^3+x^2+x+1) ÷ (x+1)<br>PLS YALL FAST

SpyIntel [72]

Answer:

x²+1

Step-by-step explanation:

(x+1)(x²+1)/(x+1)

x²+1

8 0

2 years ago

A bottle full of liquid weighed 2kg 209g the empty bottle weighed 1kg 146g . What was the weight of the liquid?

Neko [114]

Answer:

1.063

Step-by-step explanation:

Firstly, I turned the grams to kg=0.209

then i subtracted the full bottle's weight with the empty bottle.

6 0

3 years ago