Ask question

Ask question

All categories

3 years ago

14

Brinn's rectangular kitchen has an area of 81 square feet. the kitchen is 9 times as many square feet as Brinn's pantry. If the

rectangular pantry is 3 feet wide, what is the length of the pantry?

1 answer:

elixir [45]3 years ago

7 0

3 feet, you divide 81 by 9 and you get the square feet of the pantry, then you divide that by 3

You might be interested in

Suzy is shopping at a book sale.The table show prices for paperback books.

Salsk061 [2.6K]

<em>Answer:</em>

<em>6,9</em>

<em>Step-by-step explanation:</em>

<em>Got it right on edg</em>

3 0

3 years ago

New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and be

stiks02 [169]

Answer:

a. Yes

b. 0.35

c. 0.5

d.

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

a.

x 20 25 30 35 40 45 50

f(x) 0.05 0.2 0.25 0.15 0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

b.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

c.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

d.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

3 0

3 years ago

Describe how the shape moves from:

dedylja [7]

Answer:

1. Frame 1 to Frame 2 - Vertical downward translation

2. Frame 2 to Frame 3 - $90^{0}$ counterclockwise rotation

3. Frame 3 to Frame 4 - Vertical upward translation

Step-by-step explanation:

The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.

1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.

2. Rotating the shape in frame 2 by $90^{0}$ counterclockwise would move it to the shape in frame 3.

3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.

6 0

3 years ago

STRANGERS, HELP!

forsale [732]

I got 10 for this one.

3 0

4 years ago

Elliott is standing at the top of a store escalator that leads to the ground floor below. the angle of depression from the top o

a_sh-v [17]

The top of the escalator exists 9 feet far from the ground floor.

<h3>How to estimate how far is the top of the escalator from the ground floor? </h3>

Let h denote the distance between the top of the escalator from the ground floor.

We have existed given that the angle of depression from the top of the escalator to the floor stands 36.84°, and the escalator exists 15 feet long.

The side h exists opposite side and 15 feet side exists hypotenuse of a right triangle.

$$&\sin =\frac{\text { Opposite }}{\text { Hypotenuse }} \\$

$$&\sin \left(36.84^{\circ}\right)=\frac{h}{15} \\$

$$&\sin \left(36.84^{\circ}\right) * 15=\frac{h}{15} * 15 \\$

$$&0.599582468446 * 15=h \\$

8.993737 = h

$$&h \approx 9$

Therefore, the top of the escalator exists 9 feet far from the ground floor.

To learn more about the sides of a triangle refer to:

brainly.com/question/22562250

#SPJ4

5 0

2 years ago