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Scrat [10]
3 years ago
14

11 relaxing after work. the 2010 general social survey asked the question: "after an average work day, about how many hours do y

ou have to relax or pursue activities that you enjoy?" to a random sample of 1,155 americans.41 a 95% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was (1.38, 1.92). (a) interpret this interval in context of the d
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
A confidence interval tells us how many percents we are confident about the range of a parameter. In this problem, <span>a 95% confidence interval for the mean number of hours spent relaxing or pursuing activities they enjoy was (1.38, 1.92). That means we're 95% confident that the Americans spend from 1.38 hours to 1.92 hours per day on average relaxing or pursuing activities they enjoy. In other words, 95% of the samples of the same size would have a mean number of hours relaxing or pursuing activities they enjoy between 1.38 to 1.92.</span>
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What is the area of this triangle in the coordinate plane?
Klio2033 [76]
Hey. Let me help you on this one.

In order for us to solve this problem, we will be needing to find both length and width of the triangle on this coordinate plane. We will also need to know how to use the triangle area formula. 

I will be attaching an image containing the shown difference between a rectangle, and a triangle, and on how to understand why the area of a triangle is like this.

First of all, let's find the length of the triangle. It's 11 units, and we can determine that by counting up all of the units, or simply finding the difference between x-point 13 and 2, which is going to be 11.

Same applies to the width of the triangle. We will need to either count up all the units individually, or find a difference between a higher y-point and lower y-point. That difference is going to 5 units, since 9-4=5.

Now, let's use the formula for the triangle area and substitute the values.

S= \frac{a*b}{2}
S= \frac{11*5}{2}
S= \frac{55}{2}
S=27.5

Answer: Area of the triangle on the coordinate plane is 27.5 units squared.

3 0
4 years ago
Read 2 more answers
Jerry had $1,018.00 in savings. Last week he spent $84.00 on a desk and $372.00 on a computer from his savings. This week at a p
Mama L [17]
The correct answer is$412.00
8 0
3 years ago
M23 is (3x + 4)º and mz5 is (2x + 11)
Tom [10]

9514 1404 393

Answer:

  • same-side interior
  • (3x +4) +(2x +11) = 180
  • 77°

Step-by-step explanation:

Angles 3 and 5 are on the same side of the transversal, between the parallel lines, so can be called "same-side interior angles". These are also called "consecutive interior angles". As such, they have a sum of 180°, so are also "supplementary angles." We don't know what your pull-down menu options are, but perhaps one of these descriptions is on there.

__

Because the angles are supplementary, their sum is 180°. So, the equation ...

  (3x +4)° +(2x +11)° = 180°

can be used to solve for x. Likewise, any of the possible simplifications of this can be use:

  (3x +4) +(2x +11) = 180 . . . . . divide by degrees

  5x +15 = 180 . . . . . . . . . . . collect terms

  5x = 165 . . . . . . . . . . . . . subtract 15

  x = 33 . . . . . . . . . . . . . . divide by 5

__

Once we know that x=33, then the measure of angle 5 is found from its expression:

  m∠5 = (2x +11)° = (2·33 +11)°

  m∠5 = 77°

6 0
3 years ago
What is the missing side 7.5 in and x
nignag [31]

Answer:

The missing side is 18 inches

Step-by-step explanation:

Since in the smaller rectangle the sides are 2.5in x 6in and one side for the larger rectangle is given, you can make an equation.

\frac{2.5}{6}=\frac{7.5}{x}

Then you can cross multiply.

2.5x=45

Divide by 2.5 on both sides.

x= 18

3 0
3 years ago
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Find, explain, and correct the error in the student work below.
Artemon [7]
The correct answer is 0
6 0
3 years ago
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