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Rzqust [24]
3 years ago
6

The length of a rectangle is represented by (6x − 2), and the width is represented by (x − 1). Which expression best represents

the area of the rectangle?
Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer: 6x^2 -8x +2

Step-by-step explanation:

The area of a rectangle is just length multiplied by width so would have:

Area = length x width = (6x-2)(x-1) = 6x^2 -8x +2.

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How many units long is AC?
Nonamiya [84]
The answer is B
6 units
3 0
3 years ago
An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1
Vlad [161]

Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

6 0
3 years ago
Solve the system by graphing.
suter [353]

Answer: Option A. The solution set is (4,5)

Step-by-step explanation:

Solve the equation for<em> </em>y to obtain the form of the equation of the line.

You have:

y=-x+9 (The slope is -1 and the y-intercept is 9)

y=x+1 (The slope is 1 and the y-intercept is 1)

When you graph it you obtain the graph shown in the figure attached.

The solution is the intersection of the lines.

Then, the solution set is (4,5)

8 0
3 years ago
Read 2 more answers
The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

(c)P(x > m) = 0.95

\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

7 0
3 years ago
A gym owner has some yellow weights and some red weights. The yellow weights are 6 kilograms each, and the red weights are 8 kil
gogolik [260]

Answer:

The store owner has two of each color weights

Step-by-step explanation:

6 0
2 years ago
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