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Lubov Fominskaja [6]

3 years ago

7

It is estimated that there are approximately 1 × 1014 cells in the human body. Which of the following represents this amount in

standard notation

1 answer:

serg [7]3 years ago

4 0

1014 hope thts the awnser it seemed to obvious

tacobell lover_88

2 years ago

you wrong

tacobell lover_88

2 years ago

imean you are right thanks

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You need at least $535 to go on a trip to California. You have already save $200. You decide to save an additional $25 per week.

FrozenT [24]

Answer:

200+25w

Step-by-step explanation:

200=starting amount

25=every week gaining

w=weeks

Answer= 14.5 weeks

Hope it helps!

4 0

3 years ago

Read 2 more answers

In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz

Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a $\frac{1}{4} = 0.25$ probability of getting ir right. So $\pi = 0.25$ . There are five questions, so $n = 5$ .

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

So

$P = 0.75(0.25) = 0.1875$

There is a 18.75% probability that the first question that she gets right is the second question.

(b) What is the probability that she gets exactly 1 or exactly 2 questions right?

This is: $P = P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955$

$P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637$

$P = P(X = 1) + P(X = 2) = 0.3955 + 0.2637 = 0.6592$

There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

(c) What is the probability that she gets the majority of the questions right?

That is the probability that she gets 3, 4 or 5 questions right.

$P = P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 3) = C_{5,3}.(0.25)^{3}.(0.75)^{2} = 0.0879$

$P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146$

$P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001$

$P = P(X = 3) + P(X = 4) + P(X = 5) = 0.0879 + 0.0146 + 0.001 = 0.1035$

There is a 10.35% probability that she gets the majority of the questions right.

6 0

3 years ago

Triangle ABC is translated according to the rule (x, y) = (x+2y-S). If the coordinates of the pre-image of point B are

Liula [17]

The coordinates of b is 1.9

7 0

3 years ago

An accounting machine operator wanted to divide an 85-minute job between two identical machines so that one machine would take o

Lubov Fominskaja [6]

To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.

Please see the attached picture for the work.

51 minutes is the longer time.
34 minutes for the other machine.

6 0

3 years ago

Use the Distributive property to solve the equations.

Zanzabum

Answer:

Follow the steps I did in the explanation.

Step-by-step explanation:

It says to evaluate the equation :-

3.2 = 4/5(b - 5)

3.2 = (4/5 × b) + (4/5 × -5)

3.2 = 4/5b - 4

3.2 + 4 = 4/5b

5/4 × 7.2 = b

9 = b

Hope this helps, thank you :) !!

7 0

3 years ago

Read 2 more answers