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3 years ago

Is shape II similar to shape III? Why or why not?

Mathematics

2 answers:

Goshia [24]3 years ago

8 0

Answer:

Yes and no.

Step-by-step explanation:

Yes, it's similar because it's a square just like shape III. But it's not similar because its area is 9 units and square III's area is only 4 units.

Hope this helps!

Burka [1]3 years ago

3 0

Answer:

Step-by-step explanation: sample answer

Question 1, part C, showed that dilation by a scale factor of 2/3 maps shape II onto shape III. Therefore, shape II is similar to shape III.

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Equivalent fractions shaded area

spayn [35]

The hexagon's equivalent fractions are 2/6 = 1/3 = 4/12
The dots equivalent fractions are 8/12 = 4/6 = 2/3
The triangles equivalent fractions are 1/2 = 2/4 = 3/6

Hope this helps :)

6 0

3 years ago

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds. a. Find the probabi

Masja [62]

Answer:

a. 0.443

b. 0.023

Step-by-step explanation:

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

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The weight of turkeys is normally distributed with a mean of 22 pounds and a standard deviation of 5 pounds.

This means that $\mu = 22, \sigma = 5$

a. Find the probability that a randomly selected turkey weighs between 20 and 26 pounds.

This is the pvalue of Z when X = 26 subtracted by the pvalue of Z when X = 20. So

X = 26

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

$Z = \frac{26 - 22}{5}$

$Z = 0.8$

$Z = 0.8$ has a pvalue of 0.788

X = 20

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

$Z = \frac{20 - 22}{5}$

$Z = -0.4$

$Z = -0.4$ has a pvalue of 0.345

0.788 - 0.345 = 0.443

The answer is 0.443

b. Find the probability that a randomly selected turkey weighs below 12 pounds.

This is the pvalue of Z when X = 12. So

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

$Z = \frac{12 - 22}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.023

The answer is 0.023.

8 0

3 years ago

Cornel buys a video game from a store. The video game's original Price is $60 All the video games are on sale for 25% of the ori

Mama L [17]

Answer:

Cornel pays $44.75 for his video game.

Step-by-step explanation:

First, you have to find the price after the 25% discount by calculating 25% of the initial price and subtracting that result from the original price:

60*25%=15

60-15=45

Then, you have to find the price after the 12% discount by calculating 12% of the price after the 25% discount and subtracting that result from the price after the 25% discount:

45*12%=5.4

45-5.4=39.6

Finally, you have to find the price including the tax by calculating 13% of the price after the discounts and add the result to that price:

39.6*13%=5.15

39.6+5.15=44.75

According to this, Cornel pays $44.75 for his video game.

3 0

3 years ago

Simplify. -2.2 - 3.1

zmey [24]

The answer is -5.3. Hope this helps!! :-)

3 0

3 years ago

Read 2 more answers

What values for theta (0≤theta≤2π) satisfy the equation?

Rufina [12.5K]

Answer:

Option (1)

Step-by-step explanation:

<em>For convenience sake, I will be omitting the arguments of the trig functions.</em>

3sin = sin - sqrt(3)

2sin = -sqrt(3)

sin = -sqrt(3)/2

So, the answer is 4pi/3 and 5pi/3.

4 0

2 years ago