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2 years ago

Give Three Real Life examples of Supplementary Angles.

Mathematics

2 answers:

gregori [183]2 years ago

6 0

Stars, cups, and legos are three real life examples of supplementary angles

devlian [24]2 years ago

3 0

Supplementary angles are made when two angles equal a sum of 180 degrees. Some real life examples of supplementary angles are stars, cups and logos.

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A survey found that women's heights are normally distributed with mean 63.2 in. and standard deviation 2.4 in. The survey also

Effectus [21]

Answer: 99.51%

Step-by-step explanation:

Given : A survey found that women's heights are normally distributed.

Population mean : $\mu =63.2 \text{ inches}$

Standard deviation: $\sigma= 2.4\text{ inches}$

Minimum height = 4ft. 9 in.= $4\times12+9\text{ in.}=57\text{ in.}$

Maximum height = 6ft. 2 in.= $6\times12+2\text{ in.}=74\text{ in.}$

Let x be the random variable that represent the women's height.

z-score : $z=\dfrac{x-\mu}{\sigma}$

For x=57, we have

$z=\dfrac{57-63.2}{2.4}\approx-2.58$

For x=74, we have

$z=\dfrac{74-63.2}{2.4}\approx4.5$

Now, by using the standard normal distribution table, we have

The probability of women meeting the height requirement :-

$P(-2.58$

Hence, the percentage of women meeting the height requirement = 99.51%

8 0

3 years ago

The weather forecast for the weekend is a 34% chance of rain for Saturday and a 32% chance of rain for Sunday. If we assume that

kaheart [24]

Answer:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

Step-by-step explanation:

We can define the following notaton for the events:

A = It rains over the Saturday

B = It rains over the Sunday

We have the probabilities for these two events given:

$P(A) = 0.34 , P(B) = 0.32$

And we are interested on the probability that it rains over the weekend (either Saturday or Sunday), so we want to find this probability:

$P(A \cup B)$

And for this case we can use the total probability rule given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

And since we are assuming the events independent we can find the probability of intersection like this:

$P( A \cap B) = P(A) *P(B) = 0.34*0.32 = 0.1088$

And then replacing in the total probability formula we got:

$P(A \cup B) = 0.34+0.32 - 0.1088 = 0.5512$

And rounded we got $P(A \cup B ) = 0.551$

That represent the probability that it rains over the weekend (either Saturday or Sunday)

6 0

3 years ago

Abbey is adopting a kitten. Abbey has a rectangular container to bring the kitten home in. The container has a volume of 3,100

solniwko [45]

L=10.6in
H=15.6in
B=?

$\\ \rm\Rrightarrow V=LBH$

$\\ \rm\Rrightarrow 3100.5=10.6(15)B$

$\\ \rm\Rrightarrow 3100.5=159B$

$\\ \rm\Rrightarrow B=\dfrac{3100.5}{159}+19.5$

5 0

2 years ago

Read 2 more answers

Write thirteen and nine tenths in standard form

masha68 [24]

Your aanswer is 13.9 because the 13 stays the same and in decimals .1 is a tenth so there for .9 is your tenth 13.9

5 0

3 years ago

Read 2 more answers

Jesse has two packages of 36TACKS and 16 TACKS. How many garage sale posters can she put up if she uses 4TACKS for each poster?

hodyreva [135]

Answer: 21 posters or 13 posters, please read the explanation since your wording was confusing.

Step-by-step explanation: Okay if you have two packs of 36 and 16 which is 104, you divide by 4 tacks. You end up getting 21 posters.

If you mean there are only 36 and 16 you get 52 and divide by 4. You end up having 13 posters.

7 0

3 years ago