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2 years ago

Olivia helps paint a square mural in her classroom. Then she helps paint a

Mathematics

1 answer:

maks197457 [2]2 years ago

3 0

Answer:

Step-by-step explanation:

Assuming the side length of the square is x, we know that the length of the rectangle is 5 more than that, or x+5. Then, the width of the rectangle is 2 less than x, or x-2. The area of a rectangle is width multiplied by length, so our answer is (x+5)(x-2), or C

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A researcher wants to estimate the mean weekly family expenditure on clothing purchases and maintenance. First, she needs to det

Blizzard [7]

Answer: C. 461

Step-by-step explanation:

We know that the formula to find the sample size is given by :-

$n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = Population standard deviation from prior study.

E = margin of error.

z* = Critical value.

As per given , we have

$\sigma=125$

E= 15

Significance level : $\alpha=0.01$

Critical value (Two tailed)= $z^*=z_{\alpha/2}=z_{0.005}=2.576$

Now , Required sample size = $n=(\dfrac{(2.576)\cdot 125}{15})^2$

$n=(21.4666666667)^2\\\\ n=460.817777779\approx461$ [Round to next integer]

Hence, the required sample size to be taken is 461.

Correct answer = C. 461

3 0

2 years ago

An ant begins at the top of the pictured octahedron. If the ant takes two "steps", what is the probability it ends up at the bot

Aleksandr-060686 [28]

Answer:

$P_{bottom}=\frac{1}{4}=0.25$

Step-by-step explanation:

Starting from the top, the ant can only take four different directions, all of them going down, every direction has a probability of 1/4. For the second step, regardless of what direction the ant walked, it has 4 directions: going back (or up), to the sides (left or right) and down. If the probability of the first step is 1/4 for each direction and once the ant has moved one step, there are 4 directions with the same probability (1/4 again), the probability of taking a specific path is the multiplication of the probability of these two steps:

$P_{2steps}=\frac{1}{4}*\frac{1}{4}=\frac{1}{16}$

There are only 4 roads that can take the ant to the bottom in 2 steps, each road with a probability of 1/16, adding the probability of these 4 roads:

$P_{bottom}=\frac{1}{16}+\frac{1}{16}+\frac{1}{16}+\frac{1}{16}=\frac{4}{16}=\frac{1}{4}$

The probability of the ant ending up at the bottom is $\frac{1}{4}$ or 0.25.

6 0

2 years ago

While at a carnival, Andrew comes across a game that involves rolling a die. According to the game's rules, if the number rolled

Reptile [31]

Answer:

he can expect to lose 0.5$

Step-by-step explanation:

To solve this problem we must calculate the expected value of the game.

If x is a discrete random variable that represents the gain obtained when rolling a dice, then the expected value E is:

$E =\sum xP (x)$

When throwing a dice the possible values are:

x: 1→ -$9; 2→ $4; 3→ -$9; 4→ $8; 5→ -$9; 6→ $12

The probability of obtaining any of these numbers is:

$p=\frac{1}{6}$

The gain when obtaining an even number is twice the number.

The loss to get an odd number is $ 9

So the expected gain is:

$E=-9*\frac{1}{6}-9*\frac{1}{6}-9*\frac{1}{6} + 4*\frac{1}{6} + 8*\frac{1}{6} + 12*\frac{1}{6}\\\\E =-27*\frac{1}{6} + 24*\frac{1}{6}\\\\E=-3*\frac{1}{6}\\\\E=-$0.5$

4 0

2 years ago

829.9 to the nearest whole number

anzhelika [568]

when rounding numbers: if it's four or less, you round down. if it's five or more, you round up. 9 is bigger than 4, so the nearest whole number is 830.

7 0

2 years ago

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The angle of elevation to the top of a 20-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro

spin [16.1K]

<span>Height of the skyscraper to the nearest hundredth foot
= 5280 Tan(2)
= </span>184.38

7 0

2 years ago

Read 2 more answers