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katrin [286]
3 years ago
11

What is the equation of the line in the following graph? 1)y=x+2

Mathematics
1 answer:
Levart [38]3 years ago
8 0

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (2, 0) and (-2, -4). Substitute:

m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1

Therefore we have the equation of a line

y=1x+b\to y=x+b

Put the coordinates of the point (2, 0) to the equation:

0=2+b     <em>subtract 2 from both sides</em>

-2=b\to b=-2

Answer: \boxed{y=x-2}\to\boxed{3)}

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Height*length*width=volume, therefore 8*30*width=6000 therefore width=6000/240=25 feet
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Determine whether the variable is qualitative or quantitative. Explain your reasoning. The price of a new computer.
Levart [38]

Answer:

The price of a new computer is quantitative.

Step-by-step explanation:

A variable can be classified as qualitative or quantitative.

Qualitative:

When the possible values of the variables are labels, for example, good or bad, yes or no,...

Quantitative:

When the possible values of the variables are numbers, for example 1, 2, 1000,....

In this question:

The price of a computer is a numeric value, so it is a quantitative variable.

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3 years ago
If there are 48 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
kaheart [24]

Answer:

12 to 8, 6 to 4

Step-by-step explanation:

4 0
2 years ago
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams
Nataliya [291]

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

(c) Is it unusual for a broiler to weigh more than 1610 grams?

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

8 0
3 years ago
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