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Irina-Kira [14]
2 years ago
15

23. Angle F and G and Hare the angles of a triangle. Angle G is 8 more than twice angle'F.

Mathematics
1 answer:
vlabodo [156]2 years ago
5 0

Answer: Your asnwer would be........................... 278

Step-by-step explanation: Angle F stands for numbers alll the letters do so if we were to understand all the coordnation then multiply them together you would get 278. However if this way was too hard  can explane it on YT so come check out my three channels CAMERON the OG Football madnesss X and math nerds sub to all and check out my latest vid on Math nerds that will help you and you can also help me by subscribing

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Polly's Polls asked 1850 second-year college students if they still had their original major. According to the colleges, 65% of
suter [353]

Answer:

The probability that Polly's Sample will give a result within 1% of the value 65% is 0.6424

Step-by-step explanation:

The variable that assigns the value 1 if a person had its original major and 0 otherwise is a Bernoulli variable with paramenter 0.65. Since she asked the question to 1850 people, then the number of students that will have their original major is a Binomial random variable with parameters n = 1850, p = 0.65.

Since the sample is large enough, we can use the Central Limit Theorem to approximate that random variable to a Normal random variable, which we will denote X.

The parameters of X are determined with the mean and standard deviation of the Binomal that we are approximating. The mean is np = 1850*0.65 = 1202.5, and the standard deviation is √np(1-p) = √(1202.5*0.35) = 20.5152.

We want to know the probability that X is between 0.64*1850 = 1184 and 0.66*1850 = 1221 (that is, the percentage is between 64 and 66). In order to calculate this, we standarize X so that we can work with a standard normal random variable W ≈ N(0,1). The standarization is obtained by substracting the mean from X and dividing the result by the standard deviation, in other words

W = \frac{X-\lambda}{\sigma} = \frac{X-1202.5}{20.5152}

The values of the cummulative function of the standard normal variable W, which we will denote \phi are tabulated and they can be found in the attached file.

Now, we are ready to compute the probability that X is between 1184 and 1221. Remember that, since the standard random variable is symmetric through 0, then \phi(-z) = 1-\phi(z) for each positive value z.

P(1184 < X < 1221) = P(\frac{1184-1202.5}{20.5152} < \frac{X-1202.5}{20.5152} < \frac{1221-1202.5}{20.5152})\\ = P(-0.9018 < W < 0.9018) = \phi(0.9018) - \phi(-0.9018) = \phi(0.9018)-(1-\phi(0.9018))\\ = 2\phi(0.9018)-1 = 2*0.8212-1 = 0.6424

Therefore, the probability that Polly's Sample will give a result within 1% of the value 65% is 0.6424.

Download pdf
4 0
3 years ago
The graph shows Cali's changing distance as she swam during her swim practice. What does point A tell you about her speed?
kati45 [8]
When a product fails to perform as warranted, this is called a) contractual liability. O b) product malfunction. c) malicious manufacture. d) breach of warranty
5 0
3 years ago
There are 2 squares and 8 circles what is the simplest ratio of squares to total shapes
wariber [46]
1:4 is simplest ratio
4 0
2 years ago
A number m minus 3 is more than -4
AveGali [126]
M= a number
> = more than/greater than

Expression:
m - 3 > -4

If you have to also solve:

m - 3 > -4
add 3 to both sides

m > -1


ANSWER: expression is m - 3 > -4;
expression solved for m is m > -1

Hope this helps! :)
7 0
3 years ago
Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places
cricket20 [7]

Answer:

The probability is 0.1944

Step-by-step explanation:

Since we are rolling two dice, the number of possible results is 36

for us to get a sum of seven, these are the possible results;

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

The probability of rolling a sum of 7 is 6/36

For a sum of 12, we only have one possible result and that is 6,6

So the probability here is 1/36

If we have or in probability, we add up the individual probabilities

So, our probability here will be;

1/36 + 6/36

= 7/36 = 0.1944

3 0
3 years ago
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