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Sergio039 [100]
3 years ago
5

Which Property is illustrated?

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0
A + (b + c) = (a + b) + c.....what u have here is the associative property of addition
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"Henri has calculated a z-test statistic of -2.73. What is the p-value of the test statistic? Answer choices are rounded to the
Novay_Z [31]

Answer:

0.003

Step-by-step explanation:

P-value = The value of probability.

P value can be defined are the probability of a given test statistic ( which could be z score, t score, f score) that is can be less than, equal to or greater than a given null hypothesis.

In the above question, the test statistic we are given = z score.

z score = -2.73

To find the P- value, we can make use of a z table for normal distribution.

Hence, P(z = -2.73) = 0.0031667

Approximately to the nearest thousandth = 0.003

7 0
3 years ago
Solve the triangle for all missing sides and angles
Mama L [17]

Answer:

x = 35

C = 18.92

A = 71.07

Step-by-step explanation:

x)

Use the Pythagorean theorem to find the unknown side.

a^{2} +b^{2} =c^{2} \\\\\\12^{2} +x^{2} =37^{2} \\x^{2} = 37^{2}-12^{2}\\x=35

For Angle C

The angle C can be found using the inverse sine function.

C=arcsin(opp/hyp)

C=arcsin(12/37)

C=18.92

For Angle A

The sum of all the angles in a triangle is 180 degrees.

A + 90 + 18.92 = 180

A = 71.07

8 0
3 years ago
A window shaped like a parallelogram has an area of 62 1/3 square feet. The height of the window is 7 1/4 feet. How long is the
Sindrei [870]

Answer:

b ≈ 8.60 ft

Step-by-step explanation:

The formula of a parallelogram is

A = bh

Divide each side by h

b = A/h

b = 62⅓/7¼

b = (187/3) ÷ (29/4)

b = 187/3 × 4/29

b = 748/87

b = 8⁵²/₈₇ ft

b ≈ 8.60 ft

The base of the window is about 8.60 ft long.

3 0
4 years ago
Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at
Montano1993 [528]

Answer:

33.94

Explanation:

First start off by finding the total regardless of the 5.25 cents.

(3x8.50)+(3x1.25)+(2x1.50)=32.25

Then take that answer and multiply by your 5.25 cents per dollar

32.25x.0525 (since we're dealing with money)

then add that answer to the original 32.25

8 0
2 years ago
Find the 8th roots of 3i-3<br> Urgent...please help!!!!
m_a_m_a [10]
z=-3+3i=3(-1+i)=3\left(\sqrt2e^{i3\pi/4}\right)=3\sqrt2e^{i3\pi/4}

Let z=w^8. Then the eight roots of z are

w=\left(3\sqrt2e^{i3\pi/4}\right)^{1/8}
w=3^{1/8}2^{1/16}}e^{i(3\pi/4+2\pi k)/8}

where k=0,1,\ldots,7. So the eighth roots are

w=\begin{cases}3^{1/8}2^{1/16}e^{i3\pi/32}&\text{for }k=0\\\\3^{1/8}2^{1/16}e^{i11\pi/32}&\text{for }k=1\\\\3^{1/8}2^{1/16}e^{i19\pi/32}&\text{for }k=2\\\\3^{1/8}2^{1/16}e^{i27\pi/32}&\text{for }k=3\\\\3^{1/8}2^{1/16}e^{i35\pi/32}&\text{for }k=4\\\\3^{1/8}2^{1/16}e^{i43\pi/32}&\text{for }k=5\\\\3^{1/8}2^{1/16}e^{i51\pi/32}&\text{for }k=6\\\\3^{1/8}2^{1/16}e^{i59\pi/32}&\text{for }k=7\end{cases}
5 0
3 years ago
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