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Yanka [14]
2 years ago
12

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

(x + 2) ^{2}  =  - 8

Step-by-step explanation:

{x}^{2}  + 4x + 8 = 0 \\  {x }^{2}  + 4x =  - 8 \\  {x}^{2}  + 4x + 4 =  - 8   + 4 \\ ( x + 2)^{2}  =  - 4

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A solution to a system of equations is at the point of intersection.
solniwko [45]

Answer:

true

Step-by-step explanation:

i dont have an explanation its just true

7 0
3 years ago
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

3 0
3 years ago
Plz help me-7.1(z-1.1)
Elena-2011 [213]

Answer:

<h2>-7.1z +7.81</h2>

Step by step explanation:

- 7.1(z - 1.1)

Multiply each term in paranthesis by -7.1

- 7.1 \times z - 7.1 \times ( - 1.1)

Multiply:

-7.1z + 7.81

Hope this helps...

Good luck on your assignment..

6 0
3 years ago
Marco has a balance of -$19 in his checking account. He makes a trip to the bank to deposit $368. The next day he purchases a ne
Tomtit [17]

Answer:

His new balance would be $302

7 0
2 years ago
Three points on the graph of the function f(x)f(x) are \{(0, 4), (1, 6), (2, 8)\}{(0,4),(1,6),(2,8)}. Which equation represents
Blababa [14]

Answer:

y = 2x + 4

Step-by-step explanation:

Slope: (6-4)/(1-0) = 2

y = 2x + 4

7 0
2 years ago
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