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3 years ago

Points!!!Please help!! Show your work! Any problem helps! Thanks

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer: 320ft², ~326.73cm², ~628.32mm², 186yd², ~615.75m², 96in²,

2376ft³

Step-by-step explanation:

8) For a cube we will find the area of the three pairs of squares

First pair: 8ft * 6ft = 48ft² Second pair: 8ft * 8ft = 64ft²

Third pair: 8ft * 6ft = 48ft² (I think that says 6? Could say 5)

Multiply each pair by two and add them up:

48ft² * 2 = 96ft² 64ft² * 2 = 128ft² 48ft² * 2 = 96ft²

96ft² + 128ft² + 96ft² = 320ft²

9) For a cylinder we will add the area of the lateral area and the two circles

Lateral Area: 8πcm * 9cm = 72πcm² or ~226.19cm²

Area of one circle: π*4² = 16π or ~50.27cm²

Multiply that by 2 and we get ~100.54cm²

Then we add up 100.54cm² and 226.19cm² to get the answer: ~326.73cm²

10) For the cone we will use: A = πr(r + √(h² + r²))

A = 8πmm(8mm + √(15²mm + 8²mm))

A = 8πmm(8mm + 17mm)

A = 8πmm*25mm = ~628.32mm²

11) I will start with the two triangles

One triangle: 1/2 * 6yd * 8yd = 24yd²

Two triangles = 48yd²

Next, the two rectangles in the back

Base rectangle: 8yd * 5yd = 40yd²

Back Triangle: 6yd * 8yd = 48yd²

Lastly, the top triangle

Top Triangle: 10yd * 5yd = 50yd²

Add them up to get: 186yd²

12) For a sphere I will use: A = 4πr²

A = 4π(7m)²

A = 4π * 49m²

A = 196πm² OR ~615.75m²

13) For a pyramid I will use: A = a² + 2a√((a²/4)+h²)

A =(6in)² + 2*(6in)*√((6²/4)+4²)

A = 36in² + 12in*√(9²+16in²)

A = 36in² + 12in * 5in

A = 36in² + 60in² = 96in²

Extra Credit!

14) What is the volume of a pool with dimensions: 22ft long, 18ft wide, and 6 ft deep?

Strangely, the Extra Credit is much easier than the original problems but I'm not complaining!

Simply multiply each dimension and you get the volume of the pool, so:

22ft * 18ft * 6ft = 2376ft³

I hope this helped!

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Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of $(x+y)^m$ is $31,824x^{18}y^{11}$ ...(i)

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$T_{r+1}=^nC_ra^{n-r}b^r$ ...(ii)

On comparing (i) with (ii) , we get

$a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m$

i.e.

$m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29$

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3 years ago

Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.9

mash [69]

Answer:

66.48% of full-term babies are between 19 and 21 inches long at birth

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean length of 20.5 inches and a standard deviation of 0.90 inches.

This means that $\mu = 20.5, \sigma = 0.9$

What percentage of full-term babies are between 19 and 21 inches long at birth?

The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then

X = 21

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 20.5}{0.9}$

$Z = 0.56$

$Z = 0.56$ has a p-value of 0.7123

X = 19

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{19 - 20.5}{0.9}$

$Z = -1.67$

$Z = -1.67$ has a p-value of 0.0475

0.7123 - 0.0475 = 0.6648

0.6648*100% = 66.48%

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2 years ago

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Step-by-step explanation:

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On adding "83" both sides, we get

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3 years ago

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A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. Draw a tape to show

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Answer:

Step-by-step explanation:

A bakery makes 40 different flavors of muffins.

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Convert 25% to fraction:

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