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butalik [34]
3 years ago
8

Find the measures of the four angles below.

Mathematics
1 answer:
enyata [817]3 years ago
7 0

Answer:

x = 38.8

Step-by-step explanation:

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155 students are going on a field trip. Each bus can carry 42 students. If every bus except the last one carry's as many student
kotykmax [81]
3 buses x 42 = 126... So the final bus will carry 155-126=29 students.... Mental Math.
3 0
3 years ago
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Enter the number of complex zeros for the polynomial function in the box.
Monica [59]

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz.

6 0
3 years ago
According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City
Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, H_0 : \mu \leq 3  {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, H_1 : \mu > 3   {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

        T.S. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean time = 2.5 hours per week

             s = sample standard deviation = 0.09 hours

             n = sample size = 19

So, <u>test statistics</u> = \frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } } ~ t_1_8

                              = -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0
4 years ago
The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are
vodomira [7]
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
5 0
3 years ago
Which equation is equivalent
yawa3891 [41]
The equation that is equivalent is -2+(-7).
7 0
3 years ago
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