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2 years ago

1. What is the area of the wall?

Mathematics

1 answer:

Alecsey [184]2 years ago

6 0

Answer:

Step-by-step explanation:

Im going to assum the wall your talking about is the one at the bottom.

It is divided into two equal trapezoids, so we can find the area of one trapezoid, multiply it by 2 to find the area of the entire wall.

A= (1/2)(b1+b2)(h)

Where b1 and b2 are the two parrellel sides, and h is the height of the trapezoid.

A= .5*(9+6)(8/4) We divide by 8 by 2 because we are finding the area of one trapezoid which is half the height of the wall.

A= 30 ft squared.

2A= area of whole wall

2*30=60

The entire wall is 60 sq. ft.

2. The area you need to cover need to cover is 60 sqft.

Rolls of wallpaper are rectangular.

A = L*W and they told us the width is 2 ft. and we know the area we need to cover is 60 ft so we can subsitute those in to figure out the length.

60= L*2

L= 30 ft

You need at least 30 feet in length to cover the whole wall.

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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300

Oduvanchick [21]

Answer:

The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total sample 2 number (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The hypothesis (Null) ....> H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ = 0.3 - 0.25/√0.2667 (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722, then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0

3 years ago

Liz is making 1 dozen ice pops for dessert. She mixes the ingredients together in her kitchen, puts them in the ice-pop mold, an

Troyanec [42]

The answer to your question is 22 degrees Celsius. To figure out the problem, all you do is take the minutes( 58 and 2 and 35 sec.) and convert to seconds(3,480 and 145) Then divide 3,480 by 145 ,which equals 24. Then take 24 and add to the final temperature, which equals 22.
hopes this helps! <span />

3 0

3 years ago

A swimmer swam 48 kilometers in d days. What is the value of d if the swimmer swam an average of 3.2 kilometers daily?

Semmy [17]

ANSWER:

d = 15

The swimmer swam 48 kilometres in 15 days.

STEP-BY-STEP EXPLANATION:

Let d = total no. of days the swimmer swam

Total no. of kilometres swam = 48

Average no. of kilometres swam daily = 3.2

THEREFORE:

3.2d = 48

d = 48 / 3.2

d = 15

4 0

3 years ago

A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only

liraira [26]

Answer:

Step-by-step explanation:

4X1 + 3X2 less than or equal to 150

5 0

3 years ago

I need help on this problem is the answer A

vladimir1956 [14]

Well, I'm not completely sure, because I don't know the formal definition
of "corner" in this work. It may not be how I picture a 'corner'.

Here's what I can tell you about the choices:

A). (0, 8)
This is definitely a corner of the feasible region.
It's the point where the first and third constraints cross.
So it's not the answer.

B). (3.5, 0)
This is ON the boundary line between the feasible and non-feasible
regions. But it's not a point where two of the constraints cross, so
to me, it's not what I would call a 'corner'.

C). (8, 0)
Definitely not a corner, no matter how you define a 'corner'.
This point is deep inside the non-feasible zone, and it doesn't
touch any point in the feasible zone.
So tome, this looks like probably the best answer.

D). (5, 3)
This is definitely a corner. It's the point of intersection (the solution)
of the two equations that are the first two constraints.

The feasible region is a triangle.
The three vertices of the triangle are (0,8) (choice-A),
(0,-7) (not a choice), and (5,3) (choice-D) .
region is a triangle

3 0

3 years ago