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aev [14]
2 years ago
15

What is the vertex of the parabola y=2(x-3)^2+5 NEED ANSWER NOWWW

Mathematics
1 answer:
MArishka [77]2 years ago
5 0

Answer:

(3,5)

Step-by-step explanation:

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Humans breathe about 15 breaths in a minute. The average
NeX [460]

Answer:

Humans breathe about 300 liters of air in 25 minutes

7 0
2 years ago
The average expenditure on Valentine's Day was expected to be$100.89 (USA Today, February 13, 2006). Do male and femaleconsumers
stealth61 [152]

Answer:

(a) $62.16

(b) Male: $15.00

Female: $10.06

(c) Confidence Interval for male expenditure is ($106.40, $136.40)

Confidence interval for female expenditure is ($49.18, $69.30)

Step-by-step explanation:

(a) Male expenditure

Sample mean = $135.67, sd=$35, n=40, Z=2.576

Population mean = sample mean - (Z×sd)/√n = 135.67 - (2.576×35)/√40 = 135.67 - 14.27 = $121.40

Female expenditure

Sample mean= $68.64, sd=$20, n=30, Z=2.576

Population mean = 68.64 - (2.576×20)/√30 = 68.64 - 9.40 = $59.24

$121.40 - $59.24 = $62.16

(b) Male: Error margin = (t-value × sd)/√n

Degree of freedom = n-1 = 40-1= 39. t-value corresponding to 39 degrees of freedom and 99% confidence level is 2.708

Error margin = (2.708×35)/√40 = 94.78/6.32 = $15.00

Female

Degrees of freedom = n-1 = 30-1 = 29. t-value is 2.756

Error margin = (2.756×20)/√30 = 55.12/5.48 = $10.06

(c) Male

Confidence Interval (CI) = (mean + or - error margin)

CI = 121.4 + 15.00 = $136.40

CI = 121.4 - 15.00 = $106.40

Confidence Interval is ($106.40, $136.40)

Female

CI = 59.24 + 10.06 = $69.30

CI = 59.24 - 10.06 = $49.18

Confidence Interval is ($49.18, $69.30)

7 0
3 years ago
Write the sum or difference in the standard form a + bi. ( 7 + 5i) - ( -9 + i)
Veseljchak [2.6K]
(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i

= 4i + 16
3 0
3 years ago
Plz help ASAP thanks
m_a_m_a [10]

Answer:

No because the line does not pass through the origin

Step-by-step explanation:

to be proportional it has to go through the origin

7 0
3 years ago
Read 2 more answers
Type the correct answer for each box write your answer in decimal form rounded to the nearest tenth if necessary type the soluti
stira [4]

The solution is x=-1 and x=-0.5

Step-by-step explanation:

The expression is 2x(x+1.5)=-1

Multiplying the term x+1.5 by 2x, we get,

2x^{2} +3x=-1

Adding both sides by 1,

2x^{2} +3x+1=0

Taking factor, we get,

\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}

Equating the factors to 0,

\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned} and \begin{aligned}x+1 &=0 \\x &=-1\end{aligned}

Thus, the smaller value is x=-1

The solution is x=-1 and x=-0.5

3 0
3 years ago
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