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2 years ago

Question 6 Multiple Choice Worth 5 points)

Mathematics

1 answer:

Citrus2011 [14]2 years ago

4 0

Answer:

The equation of the graph is;

y = 4·x

Step-by-step explanation:

The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;

(-3, 12), and (2, 8)

The slope, m, of the straight line graph is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Therefore, by substitution of the values, we have;

$Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4$

The equation of the graph in point slope form is therefore;

(y - 8) = 4×(x - 2)

y = 4·x - 8 + 8 = 4·x

y = 4·x.

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Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells. How much will Mr. Collins earn

navik [9.2K]

Answer:

C. $300

Step-by-step explanation:

We have been given that Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells.

To find the amount earned by Mr. Collin after selling all 20 bird houses, we need to multiply 20 by amount earned by selling each bird house.

$\text{Amount earned by Mr. Collin after selling all 20 bird houses}=\$15\times 20$

$\text{Amount earned by Mr. Collin after selling all 20 bird houses}=\$300$

Therefore, Mr. Collin will earn $300, if he sells all 20 bird houses.

4 0

2 years ago

A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m

arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let X = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, p = 0.13.

The sample of employed individuals selected is of size, n = 225.

An individual holding multiple jobs is independent of the others.

The random variable X follows a Binomial distribution with parameters n = 225 and p = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion p.

Conditions of Normal approximation to Binomial are:

np ≥ 10
n (1 - p) ≥ 10

Check the conditions as follows:

$np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10$

The distribution of the proportion of individuals who hold multiple jobs is,

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

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

$P(p$

*Use a z-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0

2 years ago

Are corresponding angles in similar figures congruent?

Gala2k [10]

Answer:

yes

Step-by-step explanation:

Only the lengths change, not the angles.

3 0

2 years ago

I’m confused. lol. Pls help

AlexFokin [52]

Answer:

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(-3,1)

3 0

2 years ago

Ms. Velez will use both x gray bricks and y red bricks to build a wall around her garden. Gray bricks cost $0.45 each and red br

Finger [1]

Let

x--------> the number of gray bricks

y--------> the number of red bricks

we know that

$y < \frac{x}{2}$ ------> inequality 1

$0.45x+0.58y \leq 200$ -----> inequality 2

therefore

the answer is

x > 0

0.45x+0.58y≤200

6 0

2 years ago