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laila [671]
3 years ago
8

What is the measure of <2?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
8 0

Answer:

The answer is 142 degrees

Step-by-step explanation:

The two angles are corresponding, making them equal

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Simplify the expression. Write your answer as a power.<br><br> (−5/7)^8⋅(−5/7)^9
dem82 [27]

Answer: (-\frac{5}{7})^{17}

Step-by-step explanation:

The expression can be simplified by applying the a properties of exponents, specifically the Product of powers, which states that:

(b^a)(b^c)=b^{(a+c)

Where b is the base and a and c are exponents.

 Then simplify it by rewriting the base (-\frac{5}{7}) and adding the exponents of the expression (8 and 9).

You will get the expression simplified and written as a power:

(-\frac{5}{7})^8(-\frac{5}{7})^9=(-\frac{5}{7})^{(8+9)}=(-\frac{5}{7})^{17}

3 0
3 years ago
The student body President of a high school claims to know the names of at least 1000 of the 1800 students at the school. To tes
hoa [83]

Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

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}.

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

n = 100, \pi = \frac{46}{100} = 0.46

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883

The 99% confidence interval for p in this case is (0.3317, 0.5883).

4 0
3 years ago
14. The average mail carrier walks 5.3 kilometers in a workday. How far do most mail carriers walk in a 6-day week?
melamori03 [73]
5.3•6= 31.8 kilometers
8 0
3 years ago
Can someone help me with this question please?
zheka24 [161]
(1,0) or (2,5) or (3,10)
5-0=5, 10-5=5, and 15-10=5
7 0
3 years ago
If the smallest angle of a triangle is 20 degrees and it is included between sides of 4 and 7, then (to the nearest tenth) the s
velikii [3]
Hello,
Al 'Kashi theorem says:

a²=4²+7²-2*4*7*cos 20°=12.37721...
==>a=3.518126381...≈3.5 ==>False.
7 0
3 years ago
Read 2 more answers
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