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4 years ago

Write an appropriate direct variation equation if y = 45 when x = 5.

Mathematics

1 answer:

aliina [53]4 years ago

4 0

Is about 9 because if your trying to find x and y is 9

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5<3x+2<11 solve the compound inequality

Tcecarenko [31]

5 < 3x+2 < 11

Subtract 2 all terms:

3 < 3x < 9

Divide all terms by 3:

1 < x < 3

8 0

3 years ago

Read 2 more answers

The completion time for an exam is normally distributed with expected value 75 minutes and variance 12 minutes. What is the prob

Debora [2.8K]

Answer:

14.89% or 0.1489

Step-by-step explanation:

First, find the z-score for both 70 and 80 minutes and their corresponding percentile.

$z= \frac{X - \mu }{SD} \\SD=\sqrt{V} =\sqrt{12}\\\mu =75\\z= \frac{X - 75}{\sqrt{12}}\\\\$

For X = 70 minutes:

$z= \frac{70 - 75}{\sqrt{12}}\\z=-1.4434$

This z-score is equivalent to the 7.445 th percentile, so the probability of a student finishing this exam in less than 70 minutes is 7.445%

or X = 80 minutes:

$z= \frac{80 - 75}{\sqrt{12}}\\z=1.4434$

This z-score is equivalent to the 92.555 th percentile, so the probability of a student finishing this exam in more than 80 minutes is 100- 92.555 = 7.445%

Therefore, the probability (P) of a student finishing this exam in less than 70 minutes or more than 80 minutes is:

P = 7.445% + 7.445% = 14.89%

5 0

3 years ago

Odette plants basil from seed and each day measures the height of the plants compared to the soil line. She records her measurem

Leno4ka [110]

Answer: are there any options

Step-by-step explanation:

6 0

3 years ago

Which transformation would take figure a to figure b

Korolek [52]

Answer:

C. A reflection over the line y = -x

Step-by-step explanation:

You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).

Put that information in slope-intercept form

y = -1x + 0

You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.

y = -x

3 0

2 years ago

Factor x^2 + 10x + 25. Show your work. (3 points)

Bad White [126]

a² + 2ab + b² = (a+b) * (a + b)   <span>pattern condensed multiplication</span>

x²    +    10x + 25
a²   + 2ab + b²

(1x)² +    2*1x*5 + (5)²   =   (a+b)*(a+b)
a=x 2ab= 10x b=5 = (x+5)*(x+5)

Answer : (x+5)*(x+5)

3 0

3 years ago