All categories

4 years ago

Darnell is making improvements to his 3: 13 feet by 12 feet bedroom. Which deal would he best for him?

Mathematics

1 answer:

Zarrin [17]4 years ago

6 0

Answer:

paying $7.25 per sq feet

Step-by-step explanation:

So we can start off by solving the area:

12*13=156

so the total area is 156 feet sq

the first deal:

156/7.25= about $21.52

the second deal:

156/6.75= about $23.11, however with the installation fee, it will cost even more.

You might be interested in

Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they bo

stich3 [128]

First, let's make an equation as to how to find how much money they have altogether:

(M stands for the # of month)

Jaclyn: 120 + 40m
Pedro: 180 + 20m

So let's plug-in 1 for m (1 will stand for 1 month)

Jaclyn: 120 + 40 * 1 = 160
Pedro: 180 + 20 * 1 = 200

I made a table depicting how much they'll make for the next 5 months (attached below). According to that, on month 3, they will have made the same amount of money (or $240).

So they will have the same amount of money in 3 months. Hope this helps! :)

6 0

3 years ago

It has been suggested that night shift-workers show more variability in their output levels than day workers (σ2N > σ2D). Bel

Murljashka [212]

Answer:

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 9

Given mean of the first sample x₁⁻ = 520

Given sample variance of the first sample'S²₁' = = 38

Standard deviation of the first sample 'S₁' = √38 =6.16

Given second sample size n₂ = 8

Given mean of the second sample x₂⁻ = 540

Given sample variance of the second sample ( 'S²₂' = 20

Standard deviation of the second sample 'S₂' = √20 = 4.4712

Step(ii):-

Null hypothesis :H₀: σ²₁ =σ²₂

Alternative Hypothesis:H₁: σ²₁ > σ²₂

Test statistic

$t = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S^2_{1} }{n_{1} }+\frac{S^2_{2} }{n_{2} } } }$

$t = \frac{520 - 540 }{\sqrt{\frac{38 }{9 }+\frac{20 }{8 } } }$

t = - 7.72

|t| = |- 7.72| = 7.72

Degrees of freedom

ν = n₁ + n₂ -2 = 9 +8 -2 = 15

t₀.₀₅ = 2.1314

Final answer:-

Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance

Null hypothesis is rejected

The night shift-workers show more variability in their output levels are greater than day workers

4 0

3 years ago

13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their diameters. (WILL MARK BRANLIEST

kolezko [41]

Answer:

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Step-by-step explanation:

The given parameters both represent diameters

Plant Cell P = 1.26m

Bacterium B = 5.1m

First write out both expressions:

P = 1.26

B = 5.1

Divide B by P

5.1 / 1.26 = 4.04762 Round to 4.05

Multiply both side by P

P * B/P = 4.05 P

B = 4.05 P

This shows that the diameter of the bacterium is 4.048 times the diameter of the plant cell.

8 0

4 years ago

last month, a bookstore ran the following at and sold 85 calculators, generating $4,083 in sales. How many of each type of calcu

Scilla [17]

Answer:

31 scientific calculators

54 graphing calculators

Step-by-step explanation:

X = number of $15 calculators

Y = number of $67 calculators

X+Y = 85 then X = 85-Y

15X+67Y = 4083

substitute for X

15(85-Y)+67Y = 4083

1275 - 15Y + 67Y = 4083

reduce

52Y = 2808

Y = 54

X = 31

6 0

3 years ago

Given a radius of 9 inches, estimate the length of arc s to the nearest hundredth.

malfutka [58]

The question is incomplete, here is the complete question:

Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.

Answer: The arc length of the circle is 9.42 inches

Step-by-step explanation:

To calculate the length of the arc, we use the formula:

$S=2\pi r(\frac{\theta}{360})$

where,

S = arc length = ?

r = radius of the circle = 9 inches

$\theta$ = central angle = 60°

Putting values in above equation, we get:

$S=2\times 3.14\times 9\times (\frac{60}{360})\\\\S=9.42in$

Hence, the arc length of the circle is 9.42 inches

6 0

3 years ago

Read 2 more answers