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MrRa [10]
3 years ago
6

The variable z is directly proportional to x. When x is 10, z has the value 140.

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer: z = 280

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable causes an increase in the value of the other variable. Also, a decrease in the value of one variable causes an decrease in the value of the other variable.

The variable z is directly proportional to x. If we introduce a constant of variation, the expression would be

z = kx

When x is 10, z has the value 140. It means that

140 = 10k

k = 140/10

k = 14

The equation becomes

z = 14x

the value of z when x = 20 is

z = 14 × 20

z = 280

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A group of pennies made in 2018 are weighed. The mean is approximately 2.5 grams
Hatshy [7]

Answer:

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

Step-by-step explanation:

Recall that a penny is a money unit. It is created/produced, just like any other commodity. As a matter of fact, almost all types of money or currency are manufactured; with different materials ranging from paper to solid metals.

A group of pennies made in a certain year are weighed. The variable of interest here is weight of a penny.

The mean weight of all selected pennies is approximately 2.5grams.

The standard deviation of this mean value is 0.02grams.

In this context,

*  The mean (a measure of central tendency) weight value is the average of the weights of all pennies in the study.

* The standard deviation (a measure of variability or dispersion) describes the lowest and highest any individual penny weight can be. Subtracting 0.02g from the mean, you get the lowest penny weight in the group.

Likewise, adding 0.02g to the mean, you get the highest penny weight in the group.

Hence, the weight of each penny in this study, falls within

[2.48grams - 2.52grams]

4 0
3 years ago
Is 0.48 greater than 11/25
Zina [86]
0.48=48/100=12/25~~~12/25>11/25 True✔ ~~~~Have a nice day!!! ★★
8 0
3 years ago
Find the measurements of ZBOC.
KengaRu [80]

Answer:

∠ BOC = 40°

Step-by-step explanation:

∠ AOC = 90° , then

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7x = 70 ( divide both sides by 7 )

x = 10

Then

∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°

8 0
3 years ago
What is the constant of the expression? 5x−2y+2.4
Leno4ka [110]
The correct answer is the 2.4

The constant in an equation is the number(s) that don't have variables.

This is because variables can change the number they are attached to, making them not constant.

Hope this helps!
6 0
3 years ago
Read 2 more answers
Is this a function?
dalvyx [7]

nah buddy

Step-by-step explanation:

4 0
3 years ago
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