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Liula [17]
2 years ago
5

What is the inequality for one fourth of the opposite of the difference of five and a number is less than twenty?

Mathematics
1 answer:
V125BC [204]2 years ago
4 0
-1/4(x-5)<20

This is because the 1/4 would have to be negative to get the opposite of the parenthesis. <span />
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Two variables are correlated with r=−0.925. Which description best describes the strength and direction of the association betwe
inessss [21]

Note that the correlation coeff. must have a value between -1 and +1.  If r is very close to 1, then there is a strong positive correlation; if very close to -1, then there is a very strong negative correlation.  Thus, if r = -0.925, we have a "strong negative" correlation.  

Please, next time, separate your possible answer list with commas or put only one possible answer on each line.

8 0
2 years ago
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What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3
Mice21 [21]

Answer: g(x) has the smallest possible y-value of -3

<u>Step-by-step explanation:</u>

f(x) = 3ˣ - 3   <em>This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.</em>

Range: y > 3   (-3, ∞)

   g(x) = 7x² - 3  

⇒ g(x) = 7(x - 0)² - 3   <em>This is a parabola with vertex at (0, -3) </em>

Range: y ≥ 3   [-3, ∞)



5 0
2 years ago
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In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio
almond37 [142]

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

3 0
2 years ago
Can someone help me with math?
Paladinen [302]

Answer:

The second step because she distributed within the parentheses without adding the negative sign to 13

3 0
2 years ago
What is the area of a rectangle that is 1 1 4 1 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3
hjlf

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

7 0
3 years ago
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