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3 years ago

Please someone help with Q4 and Q3 I’m really stuck and not sure if the calculations for Q3 that I’ve done are correct

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

Answer:

3. x + 18.

4. 8n + 16

Step-by-step explanation:

3. We have to calculate the area of wood present in the frame whose dimensions are given with the question.

Requires area = {(x + 3) × 1} + [(4 - 1) × {(x + 3) - (x - 2)}] = x + 3 + 3 × 5 = x + 18. (Answer)

4. The sum of four consecutive odd numbers where 2n + 1 is the smallest odd number will be

= (2n + 1) + (2n + 3) + (2n + 5) + (2n + 7)

= 8n + 16 (Answer)

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Cody Summer sells tires for tractor trailers. He earns 4.5 percent commission on the first $6,000, 8 percent on the next $6,000,

Paladinen [302]

The Answer is $1,470.

7 0

3 years ago

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

MatroZZZ [7]

Answer:

48π in³

Step-by-step explanation:

$V=\frac{1}{3} \pi r^2h$

Plug in the radius 6 in and the height 4 in

$V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi$

Therefore, the volume of the cone is 48π in³.

I hope this helps!

3 0

2 years ago

A rectangular prism has a length of 7 inches and a width of 5 inches. The lateral area is 192 square inches. What is the height

Dennis_Churaev [7]

Answer:

I think it would be 5.49 as the height of the prism.

Step-by-step explanation:

I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!

6 0

3 years ago

Read 2 more answers

Quadrilateral EFGH with diagonals EG and HF must be a parallelogram if (1) EF FG  and GH HE  (2) EG FH  (3) EG FH  (4) EF HG

qwelly [4]

Answer:

EF = HG and EF || HG

Step-by-step explanation:

A quadrilateral is a polygon shape with four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:

Opposite sides are equal and parallel.
Opposite angles are equal to each other.
Consecutive angles are supplementary
The diagonals of a parallelogram bisect each other.

If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG

5 0

3 years ago

he XO Group Inc. conducted a survey of brides and grooms married in the United States and found that the average cost of a weddi

ahrayia [7]

Answer:

A. P(X<20,000) = 0.0392

B. P(20,000 < x < 30,000) = 0.488

C. Amount = $39,070

Step-by-step explanation:

From XO group website

Cost of a wedding = $29,858

Mean, μ = $29,858

Standard Deviation, σ =$5,600

a. Calculating the probability that a wedding costs less than $20,000

P(X<20,000)?

First, the z value needs to be calculated.

z = (x - μ)/σ

x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

So, P(X<20,000) = P(Z<-1.76)

From the z table,

P(Z<-1.76) = 0.0392

P(X<20,000) = 0.0392

b. Calculating the probability that a wedding costs between $20,000 and $30,000

P(20,000 < x < 30,000)

First, the z value needs to be calculated.

z = (x - μ)/σ

When x = 20,000

z = (20,000 - 29,858)/5600

z = -1.76

When x = 30,000

z = (30,000 - 29,858)/5600

z = 0.02

P(20,000 < x < 30,000) = P(-1.76 < z <0.02) --- using the z table

P(-1.76 < z <0.02) = 0.508 - 0.0392

P(-1.76 < z <0.02) = 0.4688

P(20,000 < x < 30,000) = 0.488

c. Using the following formula, we'll get the amount it'll a wedding to be among the 5% most expensive

z = (x - μ)/σ where x = amount

Make x the subject of formula

x = σz + μ

Fist we need to get the z value of 5%

z0.05 = 1.645

x = σz + μ becomes

x = 5600 * 1.645 + 29,858

x = $39,070

Amount = $39,070

5 0

3 years ago