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Vlada [557]
3 years ago
12

Please help and show work

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

13

Step-by-step explanation:

(4/3) + 11 +  (8/12)

PEMDAS

Using the steps of Pemdas you will get the answers of 13

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What is the equation of the given graph in y=kx form .
ElenaW [278]
Solve for k using graphed value:
96 = k6
k = 16

y = 16x

Another given value of x is 12. 12•16 = 192, so that checks out ok.
7 0
2 years ago
In a school 2/3 parts of the total numbers of students. 3/10 parts are between 8 to 12 years and the remaining are above 12 year
ANEK [815]

3/10

As you know the answer already I don't think you need any further explanation :)

5 0
2 years ago
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
Amy is scuba diving. She starts at – 15.5 m relative to the ocean surface. She swims
solniwko [45]

Answer:

-9.85

Step-by-step explanation:

-15.5 - 4.2 = -19.7

Negatives work like positives

19.7 / 2 = 9.85

Turn that into a negative

-9.85

3 0
2 years ago
Sneezie's Tissues currently packages
QveST [7]

Answer:

  • 3 times

Step-by-step explanation:

<u>Volume of the pyramid:</u>

  • V = lwh/3

<u>Volume of the prism:</u>

  • V = lwh

<u>Since all dimensions remain as is, the volume of the prism is:</u>

  • lwh / (lwh/3) = 3 times greater
6 0
2 years ago
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