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sammy [17]
3 years ago
12

Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used t

o determine the length and the width of the rug. Write your answers in terms of x .
Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer: x(x+4)

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}]

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Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi
Misha Larkins [42]

Answer:

Let X the random variable that represent the pulse rates of a population, and for this case we know the distribution for X is given by:

X \sim N(77.5,11.6)  

Where \mu=77.5 and \sigma=11.6

For this case the z score given by:

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

And for this case the z score is without units, so the correct answer would be:

The z scores are numbers without units of measurement.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the pulse rates of a population, and for this case we know the distribution for X is given by:

X \sim N(77.5,11.6)  

Where \mu=77.5 and \sigma=11.6

For this case the z score given by:

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

And for this case the z score is without units, so the correct answer would be:

The z scores are numbers without units of measurement.

6 0
3 years ago
The diagram shows a parallelogram ABCD and an equilateral triangle BDE.
Anika [276]

Answer:

a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.

b) ∠CDB = 120° because 180° - 60° = 120°

Step-by-step explanation:

6 0
4 years ago
Find the slope of the line whose equation is 17 + 3y = 7x
KatRina [158]
<span>17 + 3y = 7x
3y = 7x - 17
y = 7/3x - 17/3

answer slope = 7/3</span>
4 0
4 years ago
# 7. X/4=-2.5
lilavasa [31]

Step-by-step explanation:

7. x/4=-2.5

x = -2.5/4= 5/8

8. -22=n/2

n = -22×2 =-44

9. 1/3z = -5

z = -5×3 =-15

10. -1/4x=5/2

-2=5×4x

-2=20x

x=-20x/2=-10

7 0
3 years ago
Can someone help me pls
Gnesinka [82]

Point M bisects Line RS. The length of RS is also 44 because RM and MS are congruent and MS has a length of 22.

4 0
3 years ago
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