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3 years ago

The zeros of a function P(x)=x2-2x-24

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

x = -4 and x = 6

Step-by-step explanation:

Factor using AC method.

1 × -24 = -24

Factors of -24 that add up to -2 are +4 and -6.

P(x) = (x + 4) (x − 6)

Therefore, zeroes of P(x) are x = -4 and 6.

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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

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4 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

Goryan [66]

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4 years ago

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What is the answer for 35 3/4 - 1/8

BabaBlast [244]

Steps:

1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.

2. 2 times 4 equals 8, 2 times 3 equals 6

3. 35 3/4 now becomes 35 6/8

4. your new problem is 35 6/8 - 1/8

5. 6 -1= 5

6. your answer is 35 5/8

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3 years ago

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Elodia [21]

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Neko [114]

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3 years ago