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sveticcg [70]
3 years ago
10

I need to know ASAP

Mathematics
2 answers:
klasskru [66]3 years ago
4 0
A triangle is always made up of a total of 180° if x and y are equal that would make and and c equal as well 29+29 =58. 180-58 = 122 so the missing angle B is 122.
Ostrovityanka [42]3 years ago
3 0
ASAP means as soon as possible. Just kidding. Okay the answer is A. 180-29-29=122.
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When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mus
amm1812

Answer:

The central angle for the cheese sector would be 108 degrees.

Step-by-step explanation:

We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.

Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.

30 of 100 students voted for cheese:

so the ratio would be 30/100 or 3/10

Now apply that to the total angle measure:

3/10*360 degrees= 108 degrees.

4 0
3 years ago
This question is really confusing me, it talks about unknown angle problems with Algebra.
Sever21 [200]

Answer:

20

Step-by-step explanation:

The two given and marked angles add up to 90.

A = x

B = 3x + 10

A + B = 90          Substitute for A and B. A and B are just letters I gave things.

x + 3x + 10 = 90        Combine the left

4x + 10 = 90              Subtract 10 from both sides.

4x +10-10 = 90-10     Combine

4x = 80                      Divide by 4

4x/4=80/4

x = 20

3 0
3 years ago
Read 2 more answers
6 The table below shows the federal income tax rate for wages earned for single adults.
Zielflug [23.3K]

Answer:

F) 35,625

Step-by-step explanation:

Walter is in the 25% range since $47,500 is in-between 36,901 to 89,359

25% = 0.25

47,500 * 0.25 = 11,875

47,500 - 11,875 = $35,625

8 0
2 years ago
X∞n=0<br> (2<br> n + 1)<br> x<br> 2<br> n
Black_prince [1.1K]

Answer:3

If x=0 or x=1 it is trivial, so 0<x<1. Define a=1−x2, then 0<a<1.

Step-by-step explanation:

6 0
2 years ago
According to a Yale program on climate change communication survey, 71% of Americans think global warming is happening.† (a) For
SpyIntel [72]

Answer:

a) 0.2741 = 27.41% probability that at least 13 believe global warming is occurring

b) 0.7611 = 76.11% probability that at least 110 believe global warming is occurring

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.71

(a) For a sample of 16 Americans, what is the probability that at least 13 believe global warming is occurring?

Here n = 16, we want P(X \geq 13). So

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16)

In which

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

P(X = 13) = C_{16,13}.(0.71)^{13}.(0.29)^{3} = 0.1591

P(X = 14) = C_{16,14}.(0.71)^{14}.(0.29)^{2} = 0.0835

P(X = 15) = C_{16,15}.(0.71)^{15}.(0.29)^{1} = 0.0273

P(X = 16) = C_{16,16}.(0.71)^{16}.(0.29)^{0} = 0.0042

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) = 0.1591 + 0.0835 + 0.0273 + 0.0042 = 0.2741

0.2741 = 27.41% probability that at least 13 believe global warming is occurring

(b) For a sample of 160 Americans, what is the probability that at least 110 believe global warming is occurring?

Now n = 160. So

\mu = E(X) = np = 160*0.71 = 113.6

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{160*0.71*0.29} = 5.74

Using continuity correction, this is P(X \geq 110 - 0.5) = P(X \geq 109.5), which is 1 subtracted by the pvalue of Z when X = 109.5. So

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

Z = \frac{109.5 - 113.6}{5.74}

Z = -0.71

Z = -0.71 has a pvalue of 0.2389

1 - 0.2389 = 0.7611

0.7611 = 76.11% probability that at least 110 believe global warming is occurring

3 0
2 years ago
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