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2 years ago

The hourly wages of a sample of 130 system analysts are given below.

Mathematics

1 answer:

atroni [7]2 years ago

8 0

Answer: b. 30%

Step-by-step explanation:

A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.

i.e. $CV=\dfrac{\sigma}{\mu}$

Given: mean = $\mu=90$

Variance = $\sigma^2 = 729$

$\sigma=\sqrt{729}=27$

Now, $CV=\dfrac{27}{90}=0.3$

in percent , $CV= 0.3\times100\%= 30\%$

Hence, correct option is b. 30%.

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John's collection of sports cards has 3/10 baseball cards and 39/100 football cards. the rest are soccer cards.what fraction of

Lera25 [3.4K]

The answer is 69/100 because u have to turn the denominator to become common denominator

8 0

2 years ago

A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.

topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0

2 years ago

Lim <br> x → 1 <br> ln(x)/<br> sin(7πx)

mote1985 [20]

$\displaystyle\lim_{x\to1}\frac{\ln x}{\sin7\pi x}$

Note that both the numerator and denominator approach 0 as $x\to1$ , so we can try using L'Hopital's rule.

$\displaystyle\lim_{x\to1}\frac{\lnx }{\sin7\pi x}=\lim_{x\to1}\frac{\frac1x}{7\pi\cos7\pi x}=\lim_{x\to1}\frac1{7\pi x\cos7\pi x}$

The denominator is nonzero at $x=1$ , so the limit is equivalent to

$\displaystyle\frac1{\lim\limits_{x\to1}7\pi x\cos7\pi x}=\frac1{7\pi\cos7\pi}=-\frac1{7\pi}$

7 0

2 years ago

Select all the expressions that have the same value. 24¹ B) 2⁶ C) 6² D) 2⁵

tester [92]

Answer:

Guess what?

Step-by-step explanation:

None of them have the same value

8 0

2 years ago

The side of a square is 32/5, what is the area of the square

Anvisha [2.4K]

Answer: 1,024/25 or 40.96

Step-by-step explanation:

The length of one side of a square is 32/5, and all sides of a square have the same length, then all sides of the square have 32/5 as the length.

In order to get the area of the square, you need to multiply one side by another.

32/5 * 32/5 = 1,024/5 (fraction form)

32/5 = 6.4

6.4 * 6.4 = 40.96 (decimal form)

7 0

3 years ago