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loris [4]
3 years ago
15

Which table shows a proportional relationship between x and y?

Mathematics
1 answer:
jeyben [28]3 years ago
4 0
C is the answer. Hope this helps
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An angle measures 2.2° less than the measure of its complementary angle. What is the measure of each angle?
Pie

Answer:

28 and 62

Step-by-step explanation:

complementary angles add up to 90o

x+(x-34) =90

2x-34=90

2x=56

x=28 (small angle)

28+34=62 (big angle)

28+62 =90

8 0
2 years ago
Karla is selling tickets for a high school play. Child tickets cost $7 and adult tickets cost $13 she sells 180 tickets and coll
ycow [4]

Answer: The number of child tickets is 85 and the number of adult tickets is 95.

Step-by-step explanation:

Let C = Number of child tickets

A = Number of adult tickets.

As per given, we have

C+A=180          (i)

7C+13A=1830           (ii)

Multiply 7 to both sides of equation (ii), we get

7C+7A=1260     (iii)

Eliminate (iii) from (ii) , we get

6A=570\\\\\Rightarrow\ A=95

Put value of y in (i), we get

C= 85

Hence, the number of child tickets is 85 and the number of adult tickets is 95.

3 0
3 years ago
A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when
Genrish500 [490]

Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

a)

given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

ME = Zc * σ \sqrt{n}

ME = 1.96 * 3 \sqrt{25}

ME = 1.18

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})

CI = (57.12 , 59.48)

b)

Given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

ME = zc * σ \sqrt{n}

ME = 1.96 * 3\sqrt{100}

ME = 0.59

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})

CI = (57.71 , 58.89)

c)

sample mean, \bar X = 58.3

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

ME = Zc * σ \sqrt{n}

ME = 2.58 * 3\sqrt{100}

ME = 0.77

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}

CI = (57.53 , 59.07)

D)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

n \geq (zc *σ/E)^2

n = (2.58 * 3/0.5)^2

n = 239.63

7 0
3 years ago
A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 through 4. A marble is drawn at random from the jar.
ale4655 [162]
A Can you help me with these questions
3 0
3 years ago
Solve the equation.
Rasek [7]

Answer:

x=1/2 would be correct

4 0
3 years ago
Read 2 more answers
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