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3 years ago

Which equation represents the line through the points (3,2) and (-9,6) ?

Mathematics

1 answer:

natima [27]3 years ago

7 0

Answer:

Step-by-step explanation:

(3,2),(-9,6)

slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3

y = mx + b

slope(m) = -1/3

use either of ur points...(3,2)....x = 3 and y = 2

now we sub into the formula and find b, the y int

2 = -1/3(3) + b

2 = -1 + b

2 + 1 = b

3 = b

so ur equation is : y = -1/3x + 3 <==

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Suppose that we were going to conduct a study to determine if there is an decrease in risk of getting lung cancer based on wheth

nalin [4]

Answer: Option C

Step-by-step explanation:

In group(1), the risk is= 5/2000 x 100

= 0.25

In group(2), the risk is= 5/1000 x 100

= 0.5

The sample relative risk is= 0.25/0.5

= 0.5

So, option C is correct.

7 0

3 years ago

Which of the following probabilities is equal to approximately 0. 2957? Use the portion of the standard normal table below to he

Travka [436]

Probability of an event is the measure of its chance of occurrence. The event out of the listed events whose probability is 0.2957 is given by : Option C: $P(0.25 \leq Z \leq 1.25)$

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

If we have

$X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z tables, the p-value we get is

$P(Z \leq z) = \rm p \: value$

Using the z-table, we get the needed probabilities as:

Case 1:

$P(-1.25 \leq Z \leq 0.25) = P(Z \leq 0.25) - P(Z \leq -1.25) \approx 0.5987 - 0.1056 = 0.4931$

Case 2:

$P(-1.25 \leq Z \leq 0.75) = P(Z \leq 0.75) - P(Z \leq -1.25) \approx 0.7734- 0.1056=0.6678$

Case 3:

$P(0.25 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.25) \approx 0.8944 - 0.5987=0.2957$

Case 4:

$P(0.75 \leq Z \leq 1.25) = P(Z \leq 1.25) - P(Z \leq 0.75) \approx 0.8944 - 0.7734 =0.1210$

Thus, the event out of the listed events whose probability is 0.2957 is given by : Option C: $P(0.25 \leq Z \leq 1.25)$

Learn more about z-scores here:

brainly.com/question/13299273

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2 years ago

Oscar needs to purchase soft drinks for a staff party. He is

PilotLPTM [1.2K]

Answer:

sorry getting points

Step-by-step explanation:

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2 years ago

What is the volume of a right circular cone that has a height of 18.8 m and a base with a radius of 19.3 m

12345 [234]

Answer: 7,333.32 m3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cone = 1/3 x π x radius^2 x height

Replacing with the values given:

V = 1/3 π (19.3)^2 (18.8) = 7,333.32 m3

The volume of the right circular cone is 7,333.32 cubic meters.

Feel free to ask for more if needed or if you did not understand something.

7 0

3 years ago

Read 2 more answers

0 = -1/14 x^2 + 4x +5 I need to solve for x but I don't get it, PLEASE EXPLAIN AND HELP!!

MariettaO [177]

Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]

0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:

x=-b+/-√(b²-4ac)
2a
a=1, b=(-56), c=70

x= -(-56)+/- √((-56)²-4(1)(70)
2(1)
x= 56+/- √(3136-280)
 2
x=56+/-√(2856)
 2
x=56+/-√(2³·3·119)
 2

x=56+/-2√(714)
 2

x=28+√714; x=28-√714

5 0

2 years ago