MATHEMATICS COLLEGE

Which is the graph of y = 3/4x -3?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

rise over run....up 3 and over 4

crosses y axis as -3

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Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?

Answers

Answer:

21%

Step-by-step explanation:

195 divided by 245 = 0.79 approximately

100-79=21

Always divide the small number by the big number for percentages

Good luck!

The volume of an object is given as a function of time by V = A + B t + C t4 . Find the dimension of the constant C

Answers

Answer:

The dimensions of constant C are of $[L^(3)T]^(-4)$

Step-by-step explanation:

It is given that

$V(t)=A+Bt+Ct^(3)$

Since the dimensions of volume are $[L^(3)]$

Each of the term shall have a dimension of $[L^(3)]$ since they are in addition.

Thus for third term we can write

Thus we have

$[L^(3)]=[C][T^(4)]\n\n\therefore [C]=[L^(3)][T^(-4)]$

Use the given level of confidence and sample data to construct a confidence interval for the population proportion p.n= 195, p^=p hat= 0.831, Confidence level=95%

a.) 0.777

Answers

Answer:

The 95% confidence interval for the population proportion is (0.778, 0.884).

Step-by-step explanation:

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.831.

The standard error of the proportion is:

$\sigma_p=\sqrt{(p(1-p))/(n)}=\sqrt{(0.831*0.169)/(195)}\n\n\n \sigma_p=√(0.00072)=0.027$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.027=0.053$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sisgma_p = 0.831-0.053=0.778\n\nUL=p+z \cdot \sisgma_p = 0.831+0.053=0.884$

The 95% confidence interval for the population proportion is (0.778, 0.884).

6.Write the equation in slope-intercept form for the line that passes through the given pointand is perpendicular to the given equation.5x + 3y = -21 and passes through (-5, 1)

Answers

Let us first solve for the slope (m) of the perpendicular line.

$\text{ 5x + 3y = -21}$ $\text{ 3y = -5x - 21}$ $\text{ y =}\frac{-5x\text{ -21}}{3}$ $\text{ y = -}(5)/(3)x-7$

The slope of the perpendicular line is -5/3.

Thus, for the slope of the line, we get,

$\text{ m}_(\perp)\text{ = }(-5)/(3)$ $\text{ m = }(3)/(5)$

Let us solve for the value of b with the given value of slope (m) = 3/5 and (x,y) = (-5,1).

$\text{ y = mx + b}$ $1\text{ = (}(3)/(5))(-5)+b$ $1\text{ = -1 + b ; b = 1 + 1 = }2$

Let's now make the equation of the line using Slope-Intercept Form,

Given, m = 3/5 and b = 2

$\text{ y = mx+b}$ $\text{ y = (}(3)/(5))x\text{ + 2}$

$\text{ y = }(3)/(5)x\text{ +2}$

A certain federal agency employs three consulting firms; A, B and C. The probability that the federal agency employs company A is .40, company B is .35 and company C is .25 respectively. From past experience it is known that the probability of cost overruns given the consulting firm is employed is.05 for company A, .03 for company B and .15 for company C. Suppose a cost overrun is experienced by an agency(a) What is the probability that the consulting firm involved is company
(b) What is the probability that it is company

Answers

Answer:

attached below

Step-by-step explanation:

HELP IT'S DUE TONIGHT!!!!! If a piece of steel 12 feet long weighs 168 pounds, how much will a piece of steel 20 feet long weigh?

Answers

Answer:

280lbs

Step-by-step explanation:

168/12=14

14×20=280

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