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Goshia [24]
3 years ago
13

What is the negative angle that is coterminal with 120∘120∘. write your answers in radians?

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°.

120^o-360^o=-240^o=-\dfrac{240\pi}{180}=-\dfrac{4\pi}{3}

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A police officer wants to know the proportion of crimes that are burglaries within the last five years. She randomly selects 40
svlad2 [7]

Answer:

a. Yes

See explanation below.

Step-by-step explanation:

Assuming that if the question is if we can use the normal approximation for the true proportion.

For this case we have n = 40 and p = 0.3 (probability of success)

We need to check some conditions:

1) Random sample : This condition is satisfied since the problem says that she randomly select 40 records

2) n \hat p = 40*0.3 =12 \geq 10

n(1-\hat p)= 30 *(1-0.3) = 28 \geq 10)

3) 10% condition: the random sample is assumed to be less than 10% of the original population size (assumed)

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

So then as we can see the normal approximation for this case makes sense since we have all the 3 conditions satisfied so then the answer would be:

a. Yes

7 0
3 years ago
PLSS give me the answer for the B and C!! ( there two different questions)
Rzqust [24]

Answer:

b)

Circumference Formula :

2\pi r

\frac{120}{360}

This is the ratio we can work out:

\frac{given \: angle}{revolution}  = ratio

arc = ratio \times circumference

22 =  \frac{120}{360}  \times 2 \times  \frac{22}{7}  \times r

22 =  \frac{44}{21} x

x = 22 \div  \frac{41}{21}

x =  \frac{21}{2}

5 0
3 years ago
Find the median:<br> 3, 5, 7, 4, 3, 1
vitfil [10]
<h3>Answer: 3.5</h3>

=========================================

Explanation:

Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}

After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into

{1, 3, 3} and {4, 5, 7}

we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.

5 0
4 years ago
Read 2 more answers
Please show work cause I’m confused
inna [77]

The distance between ladder and bottom of the slide is 4.9 meters.

Step-by-step explanation:

Given,

Height of ladder = 1 m

Length of slide = 5 m

The ladder will serve as perpendicular and slide will serve as hypotenuse.

The distance from bottom of the slide to ladder will be base.

a = 1

c = 5

a^2+b^2=c^2\\(1)^2+b^2=(5)^2\\1+b^2=25\\b^2=25-1\\b^2=24

Taking square root on both sides

\sqrt{b^2}=\sqrt{24}\\b=4.89

Rounding to the nearest tenth

b = 4.9 meters

The distance between ladder and bottom of the slide is 4.9 meters.

Keywords: square root, base

Learn more about square root at:

  • brainly.com/question/12613605
  • brainly.com/question/12700460

#LearnwithBrainly

5 0
3 years ago
A computer is 40% off if the original price. After the discount the tax is $44.64. What was the original price
amm1812
The original price was $62.50
6 0
3 years ago
Read 2 more answers
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