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3 years ago

Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs

Mathematics

1 answer:

Eddi Din [679]3 years ago

3 0

Answer:

Step-by-step explanation:

a maximum or minimum occurs where the derivative equals zero

f(x) = -2x² + 14x - 10

f'(x) = -4x + 14

0 = -4x + 14

4x = 14

x = 3.5

f(3.5) = -2(3.5)² + 14(3.5) - 10 = 14.5

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Given P(A) = 0.072, P(B) = 0.180, and P(C) = 0.027, and that events A, B, and C are mutually exclusive, what is the P(A or B or

9966 [12]

Given P(A) = 0.072, P(B) = 0.180, and P(C) = 0.027, and that events A, B, and C are mutually exclusive,then P(A or B or C) is 0.279

<u>Solution: </u>

Given that probability of event A is P(A) = 0.072

Probability of event B is P(B) = 0.180

Probability of event C is P(C) = 0.027

Also event A, B and C are mutually exclusive.

Need to determine P( A or B or C )

For mutually exclusive events

P( A or B or C ) = P(A) + P(B) + P(C)

= 0.072 + 0.180 + 0.027 = 0.279

Hence probability of occurrence of event A or event B or event C , where A , B and C are mutually exclusive events is 0.279.

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2 years ago

Let p be the population proportion for the following condition. Find the point estimates for p and q. In a survey of 1226 adults

weeeeeb [17]

Answer:

(a)0.3303

(b)0.6697

Step-by-step explanation:

Point estimation is the use of sample data to calculate a single value which serves as a best estimate of a given unknown population parameter.

Total Sample=1226

Number who said that they were not confident that the food they eat in country A is safe=405.

The point estimate of those who said that they were not confident that the food they eat in country A is safe is given as $\^{p}$

(a)Point Estimate for p,

$\^{p}=\frac{405}{1226} =0.3303$

(b)Point estimate for q, $\^{q}=$ 1- (point estimate for p)

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3 years ago

3÷x=5 complete each division sentence

MrRa [10]

Answer:

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Step-by-step explanation:

3÷x=5

multiply both sides by x

x(3÷x)=(5)x

cancel out x on the left side of the equation

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divide both sides by 5

3/5=(5x)/5

cancel out 5 on the right side

3/5=x

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3 years ago

Which scenario best matches the inequality x>3?

jek_recluse [69]

The correct answer is B.

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2 years ago

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David earns $8 per hour he works 40 hours each week how much does he earn in 6 weeks

dem82 [27]

Answer:

$1920

Step-by-step explanation:

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(hope this helps :P)

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2 years ago

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Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs​

Find the greatest value of -10+14X-2X^2 and state the value of X at which it occurs