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3 years ago

Solve for the distance between the points (25, -41) and (31, -32).

Mathematics

1 answer:

Ann [662]3 years ago

7 0

Answer:

The distance should be $3\sqrt{13$

Step-by-step explanation:

Distance formula

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Assume that 8% of people are left-handed. We select 6 people at random. a) How many lefties do you expect? b) With what sta

klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

The number of trials expected to find r sucesses is given by

$N = \frac{r}{p}$

In this problem we have that:

Assume that 8% of people are left-handed. We select 6 people at random.

This means that $p = 0.08, n = 6$

a) How many lefties do you expect?

$E(X) = np = 6*0.08 = 0.48$

b) With what standard deviation?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645$

c) If we keep picking people until we find a lefty, how long do you expect it will take?

Number of trials to find 1 success. So

$N = \frac{r}{p} = \frac{1}{0.08} = 12.5$

4 0

3 years ago

Can you also please explain, I need this done very fast

miv72 [106K]

15) a) -3 and -4

-3(-4) = 12 (two negative numbers multiplied or divided together = positive answer)

b) -5 and 6
6(-5) = -30 (one negative number and one positive number multiplied together = negative answer)
-5 + 6 = 1

16) 2.4 kg, 0.7 kg
c) a loss of 15kg should be your answer, because the loss has a larger number proportion than the gained

hope this helps

6 0

3 years ago

The projected value (in millions of dollars) of a large manufacturing company is modeled by the function V(t) - 230(1.12)', wher

Natali5045456 [20]

Answer:

The value of the company in 2018

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$V(t)=a(1+r)^t$

where

V(t) is the value of the company

t is the number of years after 2018

a is the initial value or y-intercept

r is the rate of change

we have

$a=230\\1+r=1.12\\r=1.12-1\\r=0.12\\r=12\%$

230 is the value of the company when the value of t is equal to zero

Remember that

t is the number of years since 2018

therefore

230 is the value of the company in 2018

3 0

3 years ago

PLEASE ANSWR DUE BY 11:59 P.M TODAY 50 POINTS

hoa [83]

Answer:

1) 1/4

3) 1/12

4) 5/6

Step-by-step explanation:

1) P(Red) = 1/4

4 options out of which 1 is red

Black --> Black, White, Yellow

Green --> Black, White, Yellow

Red --> Black, White, Yellow

White --> Black, White, Yellow

First 4 branches for buttons.

From each of these 4 branches, make 3 further branches for ribbons

3) In the tree diagram, there are

12 (4×3 = 12) equally likely outcomes

Out of which 1 is (Black, Black)

So, P(Black & Black) = 1/12

4) out of the 12 outcomes, only 2 have same colour of bottom ribbon:

(Black, Black) & (White,White).

Other 10 have different colours.

P(different) = 10/12 = 5/6

5 0

3 years ago

What the square root of 49/81?

andrezito [222]

Answer:

0.08641975308

Step-by-step explanation:

5 0

3 years ago