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Tamiku [17]
2 years ago
6

Laura and Chase wants to go to a baseball game. But, the tickets cost $300 each. Laura only had $20 left because she went shoppi

ng. Chase had $54 left because he went shopping too. They, did a yard sale. Laura had $189 after the yard sale and Chase had $211 after the yard sale. Do they have enough money? How much money do they have? Answer both questions. Show your work.
I'll give you all the credit if you show work answer both questions! Plsss Help my 9 yr old sister needs help ASAP!
Mathematics
1 answer:
Natalija [7]2 years ago
5 0

Answer:

No they don’t have enough money

Step-by-step explanation:

No:

54+20=74=that’s not enough

211+189=400

Thats enough but they’re are two of them so it would only be enough for one of them

I HOPE THIS IS WHAT YOU’RE LOOKING FOR AND IF NOT THEN I’M SO SO SORRY

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In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 11% of voters a
Radda [10]

Answer:

a) 0.0214 = 2.14% probability that none of the people are Independent.

b) 0.8516 = 85.16% probability that fewer than 6 are Independent.

c) 0.8914 = 89.14% probability that more than 2 people are Independent.

Step-by-step explanation:

For each people, there are only two possible outcomes. Either they are independent, or they are not. For each person asked, the probability of them being Independent voters is the same. This means that we use the binomial probability distribution to solve this question.

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}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

It is believed that 11% of voters are Independent.

This means that p = 0.11

A survey asked 33 people to identify themselves as Democrat, Republican, or Independent.

This means that n = 33

A. What is the probability that none of the people are Independent?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

0.0214 = 2.14% probability that none of the people are Independent.

B. What is the probability that fewer than 6 are Independent?

This is

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X = 2) = C_{33,2}.(0.11)^{2}.(0.89)^{31} = 0.1724

P(X = 3) = C_{33,3}.(0.11)^{3}.(0.89)^{30} = 0.2202

P(X = 4) = C_{33,4}.(0.11)^{4}.(0.89)^{29} = 0.2041

P(X = 5) = C_{33,5}.(0.11)^{5}.(0.89)^{28} = 0.1463

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0214 + 0.0872 + 0.1724 + 0.2202 + 0.2041 + 0.1463 = 0.8516

0.8516 = 85.16% probability that fewer than 6 are Independent.

C. What is the probability that more than 2 people are Independent?

This is:

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{33,0}.(0.11)^{0}.(0.89)^{33} = 0.0214

P(X = 1) = C_{33,1}.(0.11)^{1}.(0.89)^{32} = 0.0872

P(X < 2) = 0.0214 + 0.0872 = 0.1086

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1086 = 0.8914

0.8914 = 89.14% probability that more than 2 people are Independent.

8 0
2 years ago
What is 12500 written in scientific notation?
swat32

Answer:The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 12,500 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 12,500

New Number: 1.2500

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 2 5 0 0

Decimal Count: 1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.25 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

1.25 x 104

Step 4

Check your work:

104 = 10,000 x 1.25 = 12,500

Step-by-step explanation:

3 0
3 years ago
A painting class charges a $55 registration fee plus an additional $25 for each week that you attend. Write an equation that cou
lilavasa [31]

Answer:

y=25x+55

7 weeks = 230

gyhbgt

4 0
3 years ago
DOOOO NOTTT SKIPPPPPPP
Shalnov [3]
1st one RS=DE,
second one T=F,
last one R=D
7 0
3 years ago
Read 2 more answers
Mrs. Giuntini’s lawn is triangle shaped with a base of 25 feet and a height of 10 feet. What is the area of Mrs. Giuntini’s lawn
Vedmedyk [2.9K]

area \:  =  \frac{1}{2} bh \\ area \:  =  \frac{1}{2} (25)(10) \\ area =  \frac{1}{2} 250 \\ area = 125 \: feet ^{2}

4 0
3 years ago
Read 2 more answers
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