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2 years ago

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Mathematics

2 answers:

andrezito [222]2 years ago

8 0

The correct answer is:

D. $y^{2}=9^{2}+19^{2}-2(9)(19)cos(41)$

$|Huntrw6|$

damaskus [11]2 years ago

3 0

In this case,
a = y
b = 9
c = 19
So...
$a^2 = b^2 + c^2 - 2bc*\cos(A)$
$y^2 = 9^2 + 19^2 - 2*9*19*\cos(41^{\circ})$
which means the answer is choice D

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A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c

BartSMP [9]

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

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3 years ago

Of the 240 students eating lunch, 96 purchased their lunch and the rest brought a bag lunch. What is the ratio of students purch

Irina-Kira [14]

Answer:

96:144

Step-by-step explanation:

Since there are 240 students and the known value is 96 students buying lunch, you simply subtract the two numbers.

240 - 96 = 144

There are 144 students bringing bag lunch.

The ratio is asking students purchasing lunch to students bringing a bag lunch, which would be 96:144

The simplified answer is 2:3

To get this, divide 144 by 96

This, in turn, would give you in answer of 3/2 which can be inversed to get the right answer

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Answer:

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2 years ago

Consider the following system of equations. -10x2-10y2=-300 5x2+5y2=150 Which statement describes why the system has infinite so

scoundrel [369]

Answer:

The equations represent circles that result in the same graph.

Step-by-step explanation:

we have

$-10x^{2}-10y^{2}=-300$

Divide by -10 both sides

$x^{2}+y^{2}=30$ -----> equation A

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

and

$5x^{2}+5y^{2}=150$

Divide by 5 both sides

$x^{2}+y^{2}=30$ -----> equation B

This is the equation of a circle centered at origin with radius $r=\sqrt{30} \ units$

equation A and equation B are equal

therefore

The system has infinite solutions, because the equations represent circles that result in the same graph.

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Please help! What is 1 1/2+1/6? -giving out 20 points

Mice21 [21]

$1 \frac{2}{3}$

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2 years ago

Read 2 more answers