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2 years ago

13

Carla wants to create a garden in her backyard. She wants the width of the garden to be 9 meters and the area to be 162 meters.

What length should she make the garden? _______________________meters

1 answer:

Naddik [55]2 years ago

7 0

<h3>Answer: 18</h3>

Work Shown:

area = length*width

length = area/width

length = 162/9

length = 18 meters

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Which of the following statements is TRUE?

jeka57 [31]

Answer:

D is the correct answer. It's true

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3 years ago

"In one statistics course, students reported studying an average of 9.92 hours a week, with a standard deviation of 4.54. Treati

Rudik [331]

Answer:

66.28% of students study more than 8 hours

Step-by-step explanation:

The percent of students study more than 8 hour can be calculated as

P(X>8)=?

P(X>8)=P((X-mean)/sd>(8-9.92)/4.54)

The calculated z-score is -0.42.

P(X>8)=P(Z>-0.42)

P(X>8)=P(0<Z<-0.42)+P(0<Z<∞)

P(X>8)=0.1628+0.5=0.6628.

Thus, 66.28% of students study more than 8 hours.

3 0

3 years ago

Part A: The area of a square is (4x^2 - 12x + 9) square units. Determine the length of each side of the square by factoring the

AlexFokin [52]

Answer: Area = side²

If Area = 4x² + 12x + 9, then the side is the √(4x² + 12x + 9)

Let’s factor 4x² + 12x + 9

What two numbers multiply to be 36 (which came from 4 * 9) add up to be 12?

6 and 6 are the two numbers, because 6 * 6 = 36, and 6 + 6 = 12.

We can break 4x² + 12x + 9 into (4x² + 6x) + (6x + 9)

Factor 4x² + 6x, the greatest common factor is 2x, so the 2x goes on the outside, leaving us with 2x + 3 on the inside, so that gives us 2x * (2x + 3).

Factor 6x + 9, the greatest common factor is 3, so the 3 goes on the outside, leaving us with 2x + 3 on the inside, that gives us 3 * (2x + 3).

Now we have the 4x² + 12x + 9 written as 2x (2x + 3) + 3 (2x + 3). Since we now have a common factor, 2x + 3, we can combine them by adding 2x (2x + 3) + 3 (2x + 3) as like terms, so we now have (2x + 3) * (2x + 3).

We can simplify (2x + 3)(2x + 3) into (2x + 3)².

There. The simplest factored form of 4x² + 12x + 9 is (2x + 3)²

Ok, the Area = (2x + 3)²

Let’s solve for the side

(2x + 3)² = side²

square root both sides and take the positive root

side = √(2x + 3)²

side = 2x + 3

The side length is: 2x + 3 units

I hope you get a good grade lol :)

Step-by-step explanation:

3 0

3 years ago

2. A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh)

Brrunno [24]

Answer:

Step-by-step explanation:

Given that n =30, x bar = 375 and sigma = 81

Normal distribution is assumed and population std dev is known

Hence z critical values can be used.

For 95% Z critical=1.96

Margin of error = $1.96(\frac{81}{\sqrt{30} } )=29$

Confidence interval = 375±29

=(346,404)

B) 99% confidence

Margin of error = 2.59*Std error =38

Confidence interval = 375±38

=(337, 413)

C) For 90%

Margin of error = 20

Std error = 20/1.645 = 12.158

Sample size

$n=(\frac{81}{12.158} )^2\\=44.38$

Atleast 44 people should be sample size.

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3 years ago

Please help me I stink at math need all

Elena L [17]

7) circle all of them8) write 1/the number it is seperatedby for all three and just divide the shapes evenly9) in thing order: no.no.yes,yes

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3 years ago