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dimaraw [331]
3 years ago
10

Sin a ______ = 1/2 [ sin ( a + b ) + sin ( a - b) ]

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

Cos b

Step-by-step explanation:

1/2[sin(a+b)+sin(a-b)]

1/2[sin a cos b +cos a sin b + sin A cos B - cos A sin B]

1/2[2sin a cos b]

sin a cos b

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Which 2 numbers have a mean of 10 and a range of 4?
Charra [1.4K]

Answer:

12 and 8

Step-by-step explanation:

basic knowledge of math i guess

hope that helps love

8 0
3 years ago
What is the slope of the equation 3x + 5y = -20
saul85 [17]

you would add 3y+5y and get 8y=-20

then the slope would be 8/1 and your y-intercept would be -20

3 0
3 years ago
Read 2 more answers
F(x) = 49 − x2 from x = 1 to x = 7; 4 subintervals
Setler [38]

Answe

Given,

f(x) = 49 − x² from x = 1 to x = 7

n = 4

\Delta x = \dfrac{7-1}{4}= 1.5

For x= 1

f(x₀) = 49 - 1^2 = 48

x = 2.5

f(x₁) = 42.75

x = 4

f(x₂) = 49 - 4^2 = 33

x = 5.5

f(x₃) = 49 - 5.5^2 = 18.75

x = 7

f(x₄) = 49 - 7^2 = 0

We have to evaluate the function on therigh hand point

A = \Delta x [f(x_1)+f(x_2)+f(x_3)+f(x_4)]

A = 1.5 [42.75+33+18.75+0]

A = 141.75

For Area for left hand sum

A = \Delta x [f(x_0)+f(x_1)+f(x_2)+f(x_3)]

A = 1.5 [48+42.75+33+18.75]

A =213.75

3 0
3 years ago
An environmentalist wants to find out the fraction of oil tankers that have spills each month. Step 2 of 2 : Suppose a sample of
rewona [7]

Answer:

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.

333 - 257 = 76 have spills.

This means that n = 333, \pi = \frac{76}{333} = 0.228

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 - 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.199

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 + 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.257

The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).

6 0
3 years ago
Write an  equation of the line that passes through please (2, -2) and is parallel to line y=3x+9
gayaneshka [121]

Answer: y=3x-8

Step-by-step explanation:

To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.

y=3x+b

We can use the given point to find the y-intercept.

-2=3(2)+b             [multiply]

-2=6+b                  [subtract both sides by 6]

b=-8

Now that we have found the y-intercept, we can finish our equation.

y=3x-8

5 0
3 years ago
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