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Andreyy89
2 years ago
9

In the figure below, ZYZA and ZYZX are right angles, _XYZ and ZAYZ are

Mathematics
1 answer:
Cloud [144]2 years ago
8 0

D so the [ithagorism leartyn me that penalty for portugual

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What is the area, in square centimeters, of the figure shown?
lisabon 2012 [21]
For this one, instead of breaking it down into 3 shapes we can simply subtract the missing square area from the total enclosing area...

15*8-4*4

120-16

104 cm^2
4 0
3 years ago
Read 2 more answers
Suppose that in a random selection of 100 colored​ candies, 26​% of them are blue. The candy company claims that the percentage
quester [9]

Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

6 0
2 years ago
Solve for c.
Vanyuwa [196]

Answer:

b

Step-by-step explanation:

solve for c by simplifying both sides of the equation then isolate the variable

6 0
2 years ago
Please HELP!!!!!!!!!
DaniilM [7]

1.

Calculate the sum

5x - 10 + 7 = 65 - 20x + 32

Move terms

5x - 3 = 97 - 20x

Collect the like terms and calculate

5x + 20x = 97 +3

Divide both sides by 25

25x = 100

X= 4 ANSWER

I skipped some steps because it would be too long :/

2.

Multiply parenthesis by 8

20x>8(4x - 5) -20

Calculate

20x>32x - 40 - 20

Move variable to the left

20x>32x-60

Collect like terms

20x - 32x > -60

Divide both sides by -12

-12x>-60

X<5 ANSWER

8 0
3 years ago
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

7 0
2 years ago
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