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2 years ago

11. Write the equation of a line passing through the two points. First find the slope and the y-

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

8 0

Answer:

Y intercept is (0,3)

Step-by-step explanation:

Check out the image

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X^2 - x -12 < 0

Semenov [28]

C) is the correct answer

5 0

3 years ago

Tim is selling tickets to a school sporting event to raise money for his club. He put some extra money in his box before he bega

mihalych1998 [28]

The price of each ticket will be the slope found from the data.

Slope=m=(y2-y1)/(x2-x1)=(177.5-146.25)/(18-13)

m=6.25 (so the cost of the tickets is $6.25)

Now we can use any data point to solve for b, or the y-intercept of the line:

y=6.25x+b, using (177.5, 18)

177.5=6.25(18)+b

b=$65.00d

So he started with $65.00

5 0

3 years ago

a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each number is 1, what is the percent u

levacccp [35]

Answer:

2, 3

1.01, 1

Percentage uncertainty

Step-by-step explanation:

a) The significant figures in the number 99 is 2

The significant figures in the number 100 is 3

b) Uncertainty in each of the numbers for both the numbers is 1

Percentage uncertainty

$\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{99}\times 100=1.01$

Percentage uncertainty = 1.01

100

$\text{Percentage uncertainty}=\frac{\text{Uncertainty}}{Value}\times 100 \\\Rightarrow \text{Percentage uncertainty}=\frac{1}{100}\times 100=1$

Percentage uncertainty = 1

c) Percentage uncertainty is a better way to express the numbers as the significant figures do not show the actual value of the numbers.

6 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0

3 years ago

Given the following roots build a polynomial function in standard form: -3 and +2

swat32

Answer:

f(x) = x² +x -6

Step-by-step explanation:

The standard form will look like ...

f(x) = x² +bx +c

where b is the opposite of the sum of the roots, and c is their product.

f(x) = x² -(-3+2)x +(-3)(2)

f(x) = x² +x -6

_____

<em>Additional comment</em>

In general, "standard form" is ax²+bx+c. In this case, the coefficient 'a' can be 1 since neither of the roots is expressed as a fraction. The sum of roots is (-b/a) and the product of roots is (c/a).

3 0

2 years ago