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babymother [125]
3 years ago
7

Evaluate ∫ x cos 3x dx. A. 1/3 x sin 3x + 1/9 cos 3x + C B. 1/3 x sin 3x - 1/3 sin 3x + C C. 1/2 x2 + 1/18 sin2 3x + C D. 1/6 x2

sin 3x + C
Mathematics
1 answer:
balandron [24]3 years ago
4 0
I = ∫ cos (3x) dx
Let u = 3 x
du = 3 dx
du/3 = dx
I = (1/3) ∫ cos u du
I = (1/3) sin u + C
<span> I = (1/3 sin (3x) + C 



Hope that helps!!!!
</span>
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Suppose that many large samples were taken from population A, which is normally distributed, and population c, which is not norm
OLEGan [10]

Answer:

Population A

Step-by-step explanation:

Think about. If population A already known for normally distribution AND you take large samples. The rest would still be distributed, Which keeps population A a Normal Distribution.

but Population C is nor normally distributed, so if you take away large samples. it will deteriorate its distribution so it won't get any better or in this case, normal. so. it is Population A.

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3 years ago
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Write Equivalent Fractions
Viktor [21]

Answer:

Step-by-step explanation:

Find equivalent fractions. Enter a fraction, mixed number or integer to get fractions that are equivalent to your input. Example entries:

Fraction - like 2/3 or 15/16

Mixed number - like 1 1/2 or 4 5/6

Integer - like 5 or 28

What are Equivalent Fractions?

Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same.

For example, think about the fraction 1/2. It means half of something. You can also say that 6/12 is half, and that 50/100 is half. They represent the same part of the whole. These equivalent fractions contain different numbers but they mean the same thing: 1/2 = 6/12 = 50/100

How to Find Equivalent Fractions

Multiply both the numerator and denominator of a fraction by the same whole number. As long as you multiply both top and bottom of the fraction by the same number, you won't change the value of the fraction, and you'll create an equivalent fraction.

Example Equivalent Fractions

Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:

34×22=68

34×33=912

34×44=1216

34×55=1520

34×66=1824

Therefore these are all equivalent fractions:

34=68=912=1520=1824

Note that if you reduce all of these fractions to lowest terms, they equal 3/4.

For additional fraction help see our Fractions Cal

3 0
3 years ago
What is 45 multiplied by 5x9 divide by 5x3 add 67 and divide it by 7. What is the answer! ASAP!
Anarel [89]

Answer:

28.857

Step-by-step explanation:

4 0
4 years ago
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Is the answer to this b?
marysya [2.9K]

Answer:

2. $2.31

Step-by-step explanation:

25% off, 75% to be paid

75/100 × 31.5 = 23.625

20% off, 80% to be paid

80/100 × 26.75 = 21.4

18% off, 82% to be paid

82/100 × 26 = 21.32

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23.625 - 21.32

2.305

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3 years ago
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(Note: a research study on coniferous trees of the American West
eimsori [14]

Answer:

p = 0.07

p-hat = 0.035

p0 = 0.07

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Step-by-step explanation:

p = population parameter, in this case, the rate of infestations across all trees in the forest

p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard

p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%

p-value = the likelihood any difference between p and p-hat is down to chance

In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;

We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).

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3 years ago
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