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Vinil7 [7]
3 years ago
13

Convert the angle \theta=100^\circθ=100 ∘ theta, equals, 100, degree to radians. Express your answer exactly.

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

5pi/9 radians

Step-by-step explanation:

2 pi radians = 360 deg

pi radians = 180 deg

100 deg * pi rad/(180 deg) = 10/18 pi rad = 5/9 pi rad = 5pi/9 radians

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Use a quadratic equation to find two numbers whose sum is 5 and whose product is ­- 24.
prisoha [69]
Hello 
if m s : sum   and p : <span> product
the </span><span> quadratic equation is : x²-sx+p=0
s = 5  p=-24
x²-5x-24 = 0 </span>
8 0
3 years ago
Directions for questions 4 &amp; 5: We selected a random sample of 100 StatCrunchU students, 67 females and 33 males, and analyz
GaryK [48]

Answer:

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

The lower limit on the confidence interval is -$2164.21.

The upper limit on the confidence interval is -$299.13.

Step-by-step explanation:

The sample data is:

Gender   Mean          Std. dev.     n

Female    2577.75      1916.29     67

Male        3809.42     2379.47     33

We have to calculate a 95% confidence interval for the difference between means, with a T-model.

The sample 1, of size n1=67 has a mean of 2577.75 and a standard deviation of 1916.29.

The sample 2, of size n2=33 has a mean of 3809.42 and a standard deviation of 2379.47.

The difference between sample means is Md=-1231.67.

M_d=M_1-M_2=2577.75-3809.42=-1231.67

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{1916.29^2}{67}+\dfrac{2379.47^2}{33}}\\\\\\s_{M_d}=\sqrt{54808.468+171572.045}=\sqrt{226380.513}=475.795

The t-value for a 95% confidence interval is t=1.96.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.96 \cdot 475.795=932.54

Then, the lower and upper bounds of the confidence interval are:

LL=M_d-t \cdot s_{M_d} = -1231.67-932.54=-2164.21\\\\UL=M_d+t \cdot s_{M_d} = -1231.67+932.54=-299.13

The 95% confidence interval for the difference between means is (-2164.21, -299.13).

6 0
3 years ago
Find the area of a regular hexagon with the given measurement. 4-inch side A = sq. in.
kifflom [539]
A = 24 sq. in. Is the answer
3 0
3 years ago
Read 2 more answers
Find the following dates in the units given:
11Alexandr11 [23.1K]

Answer and step-by-step explanation:

a.  4 litres in 5 minutes (litres per minute)

4 litres per 5 minutes means 4/5 litres per 1 min = 0.8 litres per minutes

b. 12 litres in 45 minutes = 12/3 litres in 45/3 minutes = 4 litres per 15 minutes

60 minutes = 4*15 minutes

4 * 4 = 16 litres per hour

c. 800 kilowatt hours in 2 months

1 year = 12 months = 2*6 months

kilowatt per year = 800 * 6 = 4800 kilowatt per year

Hope this helped :3

3 0
3 years ago
What is the measurement of angle a?
Illusion [34]
Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
3x - 10 = 2x + 15 (alternate angles are equal)
x = 25

Hence, angle a = 3(25) - 10 = 65°
6 0
3 years ago
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