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4 years ago

What is the distance between points L(5,7) and M(3,-8)

Mathematics

1 answer:

ankoles [38]4 years ago

5 0

Answer:

7.5

Step-by-step explanation:

gradient=(y1-y2)/(X1-x2)

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Plumber 1 charges $50 per hour plus a flat fee of $20.

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Answer:

H: 0, 1, 2, 3, 4, 5

plumber 1: 20, 70, 110, 160, 210, 260

plumber 2: 0, 60, 120, 180, 240, 300

plumber 1: C = 50h + 20

plumber 2: C = 60h

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2 years ago

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While remodeling her kitchen Angela is repainting. She estimates that she paints 55 square feet every half-hour. How many square

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110 square feet. 55x2=100

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3 years ago

(3x²-21x-24)take out the highest common factor

inessss [21]

Answer:

x = 8 or x = -1 is the answer

Step-by-step explanation:

3x² - 21x -24

divide with 3

x² - 7x - 8

Factorizing,

x² + x - 8x - 8

x(x + 1) -8 (x + 1)

(x - 8) (x + 1)

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3 years ago

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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i

Scorpion4ik [409]

Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) he uses a previous estimate of 25%?

we need a sample of size at least n.

n is found when $M = 0.02, \pi = 0.25$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.25*0.75}}{0.02})^{2}$

$n = 3108.1$

We need a sample size of at least 3109.

(b) he does not use any prior estimates?

When we do not use any prior estimate, we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{2.575\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 4144.1$

Rounding up

We need a sample size of at least 4145.

8 0

4 years ago

Ben bowled 160 and 191 in his first two games. What must he bowl in his third game to have an average of at least 190?

natita [175]

I don’t understand the question

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2 years ago

What is the distance between points L(5,7) and M(3,-8)​

What is the distance between points L(5,7) and M(3,-8)