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3 years ago

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Mathematics

1 answer:

wlad13 [49]3 years ago

7 0

C, 3,5 cm, 3,5 cm, 3.5 cm hope it helps

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What is the answer to this I need help multiply 3 ones by 2

Schach [20]

3 ones by 2 would equal 6

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3 years ago

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claire drank 1/2 pint of milk in the morning and another 1/4 pint of milk in the evening how much did claire drank

krok68 [10]

Answer:

3/4

Step-by-step explanation:

1/2=2/4

2/4+1/4=3/4

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4 years ago

How much : 100-99+98-97+....+4-3+2-1 = ?

Alexandra [31]

Without accurate calculations i would say 50

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3 years ago

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Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the nationa

g100num [7]

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

$(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })$

we know that

Margin of error for 95% confidence level is determined by

$M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }$

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

$(p^{-} - M.E, p^{-} + M.E)$

Given Margin of error

M.E = 0.03

Now 95% of confidence interval for the proportion

$(0.444 - 0.03, 0.444+ 0.03)$

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

6 0

3 years ago

Please state the function for the corresponding data set

Lana71 [14]

Given:
x: [1 2 3 4 5 6 7]
y: [9 9.5 10.25 11.25 12.5 14 15.75]

Let the function which models the data be
y(x) = ax² + bx + c

Apply the function to the first three data points
a + b + c = 9 .(1)
4a + 2b + c = 9.5 (2)
9a + 3b + c = 10.25 (3)

Subtract (1) from (2).
3a + b = 0.5
or
b = 0.5 - 3a (4)
Subtract (1) from (3).
8a + 2b = 1.25 (5)
Substitute (4) into (5).
8a + 2(0.5 - 3a) = 1.25
2a = 0.25
a = 0.125
From (4),
b = 0.5-3*0.125 = 0.125
From (1),
c = 9 - 0.125 - 0.125 = 8.75

The function is
y = 8.75 + 0.125x + 0.125x²

Check that the function works for x=4,5,6,7.
From the calculator, obtain
y(4) = 11.25 Correct
y(5) = 12.5 Correct
y(6) = 14 Correct
y(7) = 15.75 Correct

The graph of the function is shown below.

Answer: y = 8.75 + 0.125x + 0.125x²

5 0

4 years ago