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3 years ago

Find the area. Simplify your answer.

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:

10x + 9

Step-by-step explanation:

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20) In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at

Allisa [31]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

n = 1200

x = 32% of 1200

So, $\hat{p}=32\5=0.32$

We need to find 95% confidence interval.

so, z = 1.96

So, margin of error would be

$z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=$

So, Interval would be

$\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)$

Hence, Option 'c' is correct.

6 0

3 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

How many pieces of 4 <br> inches of ribbon can get from a roll of 25 feet ribbon?

Dovator [93]

1 feet = 12 inches

25 feet= 25*12 inches
25 feet=300 inches
300inches/4inches=75 pieces of ribbon

8 0

3 years ago

Read 2 more answers

Fraction<br> 4 5/6 -2 2/7 - 1 3/14

Vadim26 [7]

Answer:

1.3 or 1.333333

Step-by-step explanation:

Just do it!

5 0

2 years ago

205 students enrolled in a freshman-level chemistry class. By the end of the semester, 4 times the number of students passed as

AlexFokin [52]

Answer: 164 students passed and 41 students failed.

Step-by-step explanation:

Let the number of students be x

x students failed, but 4 times the failed students passed.

So 4x students passed and x students failed.

4x + x = 205

5x = 205

x = 205/5

x = 41

41 times 4 is 164 and 41 times 1 is 41.

So 164 students passed and 41 students failed

3 0

2 years ago