What is the range of the function on the graph?

Simplify the expression. -2.7f + 0.8f - 16 - 4

Mazyrski [523]

Answer:

-1.9f-20

Step-by-step explanation:

-2.7f+0.8f-16-4

Collect similar items

-2.7f+0.8f=-1.9f

=-1.9f-16-4

Subtract the numbers

-16-4=-20

=-1.9f-20

4 0

3 years ago

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According to a research center, 16% of all merchandise sold in a particular country gets returned. A department store in a certa

Mamont248 [21]

Answer:

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

Step-by-step explanation:

Given the Population proportion 'P'= 16% = 0.16

Given data a department store in a certain city sampled 80 items sold in January and found that 24 of the items were returned

The sample proportion $p = \frac{x}{n}$

here x =24 and n = 80

The sample proportion $p = \frac{x}{n} = \frac{24}{80} = 0.3$

a) Point estimate:-

A point estimate of the true proportion P

Point estimate = $p = \frac{x}{n}$

point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

$p = \frac{x}{n} = \frac{24}{80} = 0.3$

b) The 95% confidence interval for the proportion

The 95% confidence interval for the proportion of returns at the store in the given city

$(p - z_{\alpha } \sqrt{\frac{p(1-p)}{n} } , p + z_{\alpha }\sqrt{\frac{p(1-p)}{n} } )$

substitute all values we get ,

$(0.3 - 1.96 \sqrt{\frac{0.3(1-0.3)}{80} } , 0.3 + 1.96\sqrt{\frac{0.3(1-0.3)}{80} } )$

on simplification, we get

(0.3-0.10042 ,0.3+0.10042)

( 0.19958,0.40042)

Conclusion:-

a) point estimate of the proportion of items returned for the population of sales transactions at the store in the given city

Point estimate = 0.3

b) The 95% confidence interval for the proportion of returns at the store in the given city

( 0.19958,0.40042)

5 0

4 years ago

Evaluate the expression.

PilotLPTM [1.2K]

c

4x-5y

4x3=12

5x2=10

12-10=2

5 0

4 years ago

A penny fell off the top of the building and hit the sidewalk below 3.1 seconds later how many meters did the penny fall to the

Sedbober [7]

To solve this we are going to use the free distance fallen formula: $d=0.5gt^2$
where
$d$ is the distance
$g$ is the gravity of Earth $9.8m/s^2$
$t$ is the time in seconds

We know from our problem that the penny fell off the top of the building and hit the sidewalk below 3.1 seconds later, so $t=3.1$ . Lets replace the value in our formula:
$d=0.5gt^2$
$d=0.5(9.8)(3.1)^2$
$d=47.089$ meters

We can conclude that the penny fell a distance of 47.098 meters

3 0

4 years ago

6^2/2(3)+4= what is the answer

Lelechka [254]

6^2/2(3)+4
Follow the order of operations, (GEMDAS) which goes like this:
grouping, exponents, multiplication/divison, addition/subtraction

First up is our grouping, specifically parentheses. While we do have parentheses in our expression there isn't anything going on inside of them that we'd have to do first. (The 2(3) is another way of writing 2×3.)

Next we have exponents, which would be our 6^2. (6 squared)
When something is squared, that means it is multiplied by itself. 6^2 = 6×6 = 36.

Now our expression is 36/2(3)+4.

Next we need to handle the multiplication and division. (order doesn't matter)
The best way to do this is from left to right. The 36/2 = 18...
Then 18(3) = 54.
If we took 36(3) then divided by 2 we would get the same answer.
However, what you cannot do is multiply the 2(3), simply because the 2 is a denominator of a fraction. If you don't know what this is or why, it's okay--just always do it left to right and you'll never have to worry about it.

Now our expression is 54+4.

Finally, we can handle the addition/subtraction. 54+4 leaves us with 58.

7 0

3 years ago

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