All categories

3 years ago

Help me please please please

Mathematics

2 answers:

Grace [21]3 years ago

7 0

Answer:

2x²-2x

Step-by-step explanation:

To find the area of a rectangle, you multiply the sides together.

In this case:

x × 2x-2 = x(2x-2) = 2x²-2x

masya89 [10]3 years ago

6 0

Answer:

the area = x(2x - 2) = 2x² - 2x

You might be interested in

The test scores on a 100-point test were recorded for 20 students:71 93 91 86 7573 86 82 76 5784 89 67 62 7277 68 65 75 84a. Can

Dafna11 [192]

Answer: a. Yes

b. mean = 76.65

standard deviation = 10.04

c. 76.65 ± 4.4

Step-by-step explanation:

a. Stem and leaf Plot shows the frequencies with which classes of value occur. To create this plot, we divide the set of numbers into 2 columns: stem, the left column, which contains the tens digits; leaf, the right column, which contains the unit digits.

Normal distribution is a type of distribution: it's a bell-shaped, symmetrical, unimodal distribution.

A stem and leaf plot displays the main features of the distribution. If turned on its side, we can see the shape of the data.

The figure below shows the stem and leaf plot of the 100-point test score. As we can see, when turned, the plot resembles bell-shaped distribution. So, this test scores were selected from a normal population.

b. Mean is the average number of a data set. It is calculated as the sum of all the data divided by the quantity the sample has:

mean = $\frac{\Sigma x}{n}$

For the 100-point test score:

mean = $\frac{71+93+91+...+65+75+84}{20}$

mean = 76.65

Standard Deviation determines how much the data is dispersed from the mean. It is calculated as:

$s=\sqrt{\frac{\Sigma (x-mean)^{2}}{n-1} }$

For the 100-point test score:

$s=\sqrt{\frac{[(71-76.65)+(93-76.65)+...+(84-76.65)]^{2}}{20-1} }$

s = 10.04

The mean and standard deviation of the scores are 76.65 and 10.04, respectively.

c. Confidence Interval is a range of values we are confident the real mean lies.

The calculations for the confidence interval is

mean ± $z\frac{s}{\sqrt{n} }$

where

z is the z-score for the 95% confidence interval, which is equal 1.96

Calculating interval

76.65 ± $1.96.\frac{10.04}{\sqrt{20} }$

76.65 ± 4.4

The 95% confidence interval for the average test score in the population of students is between 72.25 and 81.05.

7 0

3 years ago

Find the value of x. Then find the measure of each label length.

sweet-ann [11.9K]

Should be somewhere around there either way for 9. the angles are the same because you see the arrows on the parallel lines 8. I'm not quite as sure about

3 0

3 years ago

An insurance company pays Tommy a $400 commission for selling a $100,000 insurance policy. At this rate, what would be Tommy’s c

ololo11 [35]

Answer:

$100

Step-by-step explanation:

He gets paid a commission of $400 for a $100,000 insurance policy. We need to find out how much he's gonna get paid for a $25,000 insurance policy.

Break down the $100,000 into four equal amounts if possible, which it is:

$25,000

Now break down his commission of $400 for the $100,000 insurance policy into four equal amounts if possible, which it is:

$100

Now since we split them up into four equal parts you can tell how much he would get paid for a $25,000 insurance policy.

He would get paid $100 for the $25,000

6 0

3 years ago

a company uses two vans to transport workers from a free parking lot to the workplace between 7 and 9 a.m. One can has 14 more s

Fiesta28 [93]

Y = x + 14 (the larger bus has 14 more seats)
2x + y = 65 ( 2 x two times the seats , as it makes 2 trips the smaller van so the seats will be full twice maximum)

2x + x + 14 = 65 (sub the value of y = x+14 in the second equation)

3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)

3 0

3 years ago

the ratio of cars to trucks on the parking lot is 2:3 there are 24 trucks on the lot what is the total number of vehicles on the

SVEN [57.7K]

x=16

Explanation

the ratio is 2:3

it means for every 2 cars, there are 3 trucks

Now, it the total of trucks is 24,the proportion must be the same, so

Step 1

Let

x represents the number of cars for 24 trucks

$\frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}}$

Step 2

solve for x

$\begin{gathered} \frac{\text{2 cars}}{3\text{ trucks}}=\frac{x}{24\text{ trucks}} \\ 2\cdot24=3\cdot x \\ x=\frac{2\cdot24}{3} \\ x=\frac{48}{3} \\ x=16 \end{gathered}$

Hence, the answer is 16

4 0

1 year ago