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Alona [7]
3 years ago
11

The attendance at a football game last year was 5,600. This year the attendance was 4,560. What was the percent of decrease in a

ttendance, to the nearest percent? A. 19% B. 23% C. 81% D. 104%
Mathematics
1 answer:
IRISSAK [1]3 years ago
8 0
The Answer is A. 19%
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Triangle BCD is isosceles and line Bc is congruent to line BD. What is the measure of arc BC?
Leokris [45]
Since arc CD is 100 degrees, the rest of the circle must be 260 degrees.  Since the rest of the circle is made up of two equal arcs, then arc BC must be half of 260 degrees.  Thus, the answer is 130 degrees, C.
7 0
3 years ago
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Value of x for 12(x-2)+3x=1/2(x+6)+2​
Damm [24]

Answer:

The value of x = 2

Step-by-step explanation:

Given the equation

12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2

  • Expand 12(x-2) = 12x - 24
  • Expand 1/2(x+6) = 1/2x + 3

so the equation becomes

12x-24+3x=\frac{1}{2}x+3+2

simplifying

15x-24=\frac{1}{2}x+5

15x=\frac{1}{2}x+29

multiplying both sides by 2

30x = x + 58

subtracting x from both sides

30x - x = 58 - x

29x = 58

divide both sides by 29

\frac{29x}{29}=\frac{58}{29}

simplifying

x = 2

Therefore, the value of x = 2

4 0
3 years ago
Find the measure of &lt;4.<br> {<br> 44<br> 158°<br> {<br> 44 = [?]
VLD [36.1K]

Answer:

<4 = 22

Step-by-step explanation:

<4 = x

x + 158 = 180

x = 22

4 0
2 years ago
A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate. Supp
Nana76 [90]

Answer:

Step-by-step explanation:

Given that:

mean μ = 70

sample size = 25

sample mean = 73

standard deviation = 7

level of significance = 0.10

The null hypothesis and the alternative hypothesis can be computed as follows:

\mathtt{H_o : \mu = 70} \\ \\  \mathtt{H_1 : \mu > 70 }

The z score for this statistics can be calculated by using the formula:

z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{73- 70}{\dfrac{7}{\sqrt{25}}}

z = \dfrac{3}{\dfrac{7}{5}}

z = \dfrac{3 \times 5}{{7}{}}

z = 2.143

At level of significance of 0.10

degree of freedom = n -1

degree of freedom = 25 - 1

degree of freedom = 24

The p - value from the z score at   level of significance of 0.10 and degree of freedom of 24 is:

P - value = 1 - (Z < 2.143)

P - value =  1 - 0.9839

P - value =  0.0161

Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.

Conclusion: We conclude that energy drink consumption increases heart rate.

5 0
3 years ago
Find the area of a circle with a radius of 8.
Ostrovityanka [42]

Answer:

201.06

Step-by-step explanation:

Area of a circle = pi x r^2

= 201.06

5 0
2 years ago
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