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BigorU [14]
3 years ago
14

Consider the following expression and determine which statements are true.

Mathematics
1 answer:
Serhud [2]3 years ago
3 0

Given:

$\frac{7}{r}+2^{3}+\frac{s}{3}+11

To find:

Which statement are true?

Solution:

Option A: The entire expression is a sum.

It is true because it performed addition operation.

Option B: The coefficient of s is 3.

$\frac{7}{r}+2^{3}+\frac{s}{3}+11=\frac{7}{r}+2^{3}+\frac{1}{3}s+11

It is not true because the coefficient of s is \frac{1}{3}.

Option C: The term \frac{7}{r} is a quotient.

If we divide 7 by r, we obtain a quotient.

So it is true.

Option D: The term 2^3 has a variable.

It is not true because it does not contain any variable.

Therefore the entire expression is a sum and the term \frac{7}{r} is a quotient are true statement.

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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.
Sidana [21]
Finding the sample size for estimating a population proportion.

The formula is:

n = (z/m)^2 p~(1−p~)

where:
Z is the z value of the confidence level where 95% is equal to 1.96

M is the margin of error where 0.05

And p~ is the estimated value of the proportion where it is 0.50

Solution:

n = (1.96/0.05)^2 (0.5) (1-0.5)

= 1.536.64 (0.5) (0.5)

= 768.32 (0.5)

= 384.16

This is the minimum sample size, therefore we should round it up to 385. The answer is letter c.
6 0
3 years ago
Find the slope and the y-intercept of the graph of the linear equation. Then, graph the equation.
avanturin [10]

Answer:

The slope of the graph is: m = -6

The y-intercept of the graph is: b = 2

And the graph of the equation is shown below.

Step-by-step explanation:

We know that the slope-intercept form is

y=mx+b

Where m is the slope and b is the y-intercept

Given the equation

y=-6x+2

comparing with the slope-intercept form

slope = m = -6

y-intercept = b = 2

Thus,

The slope of the graph is: m = -6

The y-intercept of the graph is: b = 2

And the graph of the equation is shown below.

7 0
3 years ago
Now that Oakland Auto Reapir has a different owner, its mechanics make $14.20 per hour. That is 25.1% less than they originally
Serhud [2]

Answer:

$18.96

Step-by-step explanation:

Now the mechanics earn $14.2 per hour, which is 25.1% less than before.

If we say that the earnings before were 100% (to facilitate our calculation and understand better), now the earrings are (100-25.1)%=74.9%. This is, now they make the 74.9% of what they used to made.

So:

74.9% = 14.2

Let's multiply both sides by 100%/74.9% to make a 100% appear at the left side (see that multiply and divide by 74.9 will make it desapear):

74.9% *(100%/74.9%) = 14.2 * (100%/74.9%)

100% = 14.2 * (100%/74.9%)

And (100%/74.9%) is equal to 1/0.749, they are the same. So:

100% = 14.2 * 1/0.749

100% = 18.96

So, before the new manager they used to make $18.96. (you can verify by multiplying it by 74.9% and the result is 14.2)

4 0
3 years ago
PLZ HELP ME!!!!!!!!!!!!!
topjm [15]
It is answer #1 the depandent variable is distance, y=25x, the dragonfly will travel 600 miles
8 0
3 years ago
Suppose that {v1, v2, . . . , vn} spans V and T∈L(V, W). Prove that {T(v1), T(v2), . . . , T(vn)} spans range(T).
serious [3.7K]

Answer:

Step-by-step explanation:

it’s 6

3 0
3 years ago
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