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iris [78.8K]
3 years ago
10

Complete the square to write the equation, 4x2 + 24x – y + 43 = 0, in standard form.

Mathematics
2 answers:
Tamiku [17]3 years ago
5 0

Answer:

y=4

x=3

7

Step-by-step explanation:

Edg2021

saul85 [17]3 years ago
5 0

Answer:

4

3

7

Step-by-step explanation:

right on edge

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(B) 34.55

S is the standard deviance for residuals.

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3 years ago
Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
Thepotemich [5.8K]

Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

6 0
3 years ago
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Answer: distributive property

Step-by-step explanation:

5(18)=2(18)+3(18)

18(2+3) = 2* 18+ 3*18

18*5 =  2* 18+ 3*18

5 0
3 years ago
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Can somebody help me solve this?
Nookie1986 [14]

Answer:

z = 3.2 units

Step-by-step explanation:

sin 76°/z = sin 51°/2.6

cross-multiply to get:

z·(sin 51°) = 2.6·(sin 76°)

z = 2.6·(sin 76°) ÷ (sin 51°)

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3 years ago
In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the miss
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Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

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let the missing side be d

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d^2 = 200

d = square root of 200

d = 14.142 cm

3 0
3 years ago
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