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bearhunter [10]
2 years ago
9

Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal.

Mathematics
2 answers:
FromTheMoon [43]2 years ago
6 0

Answer:

It is 15.4 on edge. C

Step-by-step explanation:

Naya [18.7K]2 years ago
4 0
<h2>C. 15.4</h2><h2 />

Your question: "Let |a| = 12 at an angle of 25° and |b| = 7 at an angle of 105°. What is the magnitude of a + b? Round to the nearest decimal."

Calculate the magnitude

The answer is 15.4

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9. Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite class. In
Tatiana [17]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0: p = 88

For the alternative hypothesis,

Ha: p < 88

Considering the population proportion, probability of success, p = 0.88

q = probability of failure = 1 - p

q = 1 - 0.88 = 0.12

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 21

n = number of samples = 32

P = 21/32 = 0.66

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83

The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,

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8 0
3 years ago
The diameter of a bacterium called Spiral is 0.000015 meter. What is this
enyata [817]

Hey there!

When we put a number in scientific notation, we want the first number to be at least 1 and less than 10. There must be a digit from 1-9 in the ones place.

With the number 0.000015, we can move the decimal place 5 places to the right and we have 1.5, which is more than one and less than ten.

Because we moved the decimal place 5 places to the right, 1.5 is multiplied by 10 to the power of -5.

The 5 is the number of places the decimal is moved, and the negative sign is because we moved it to the right.

10^(-5) is the same as 0.00001, just for context.

So, 0.000015 meters in scientific notation is 1.5 x 10^(5) meters.

Hope this helps!

5 0
3 years ago
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AysviL [449]
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

7 0
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