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alexdok [17]
4 years ago
15

Explain what is true if a rectangular prism and a cylinder have the same volume and the same area of bases.

Mathematics
1 answer:
Law Incorporation [45]4 years ago
7 0
Answer:   "They both would have the same heights."
______________________________________________
Since:  Volume = Base area * height .
______________________________________________

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HELP ME PLEASE. . Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pa
BlackZzzverrR [31]
Well, she drove 200 miles, at a pay of $0.60 per mile travelled. 
<span>200 * 0.6 = 120 </span>
<span>She got payed $120 for her 200 miles traveled. </span>

<span>Since she gets payed $50 per day, and she got paid $1500 for her food and lodging, she traveled for 30 days as 1500/50 = 30 (Part C answer) </span>

<span>If you were to determine her total pay: </span>
<span>Using variables x for: number of days spent on trip </span>
<span>Y: number of miles traveled. </span>

<span>Total pay = 50x + 0.6y </span>
<span>If you'd rather have only the equation for the number of days spent on her trip: </span>
<span>X = (1620- 0.6(200))/50. (Part A answer) </span>

<span>Solving for x: </span>

<span>X = (1620 - 0.6(200))/50 </span>
<span>X = (1620 - 120)/50 </span>
<span>X = (1500)/50 </span>
<span>X = 30 (Part B answer)</span>
8 0
3 years ago
Read 2 more answers
What is the theoretical probability of being dealt exactly three 4s in a 5-card hand from a standard 52-card deck?
rewona [7]
<span>94/54145 Would be your answer, hope this helps! :D</span>
6 0
3 years ago
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The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample
Wittaler [7]

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

pX = \frac{68}{86} = 0.7907

sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

pY = \frac{105}{120} = 0.875

sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302

Difference:

p = pX - pY = 0.7907 - 0.875 = -0.0843

s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533

Confidence interval:

p \pm zs

In which z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}, with \alpha being 1 subtracted by the confidence level.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound of the interval:

p - zs = -0.0843 - 1.96*0.0533 = -0.1888

Upper bound of the interval:

p + zs = -0.0843 + 1.96*0.0533 = 0.0202

The 95% confidence interval for the difference is (-0.1888, 0.0202).

6 0
3 years ago
2 Solve the equation for x: 3x – 5 = 5x + 2x.<br> Show your work.
Galina-37 [17]

Answer:

—5/4 or —1 1/4

Step-by-step explanation:

3x – 5 = 5x + 2x

Collect like terms

—5 = 5x + 2x — 3x

—5 = 4x

Divide both side by the coefficient of x i.e 4

x = —5/4 or —1 1/4

8 0
3 years ago
Factor the equation using zero product. x2-4x=5
katovenus [111]
Subtract 5 from each side. Use MAN strategy to determine that x = 5 and x = -1.
6 0
4 years ago
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