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Lerok [7]
3 years ago
10

In a bag, the ratio of red beads to blue beads is 3∶ 5. Beads are added to the bag, but the ratio of red beads to blue beads rem

ains the same.

Mathematics
1 answer:
grigory [225]3 years ago
3 0
First you need to simplify the ratio so divide 3 by 5, to come out with 1:0.6.
Then solve for the unknown then add the unknown to the known for the sum
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If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (
exis [7]

Answer:

the probability that at the end, at least 5 people stayed the entire time = 0.352

Step-by-step explanation:

From the question, 3 of the people are sure to stay the whole time. So, we'll deduct 3 from 6.which leaves us with 3 that are only 2/5 or 0.4 sure that they will stay the whole time.

Thus, what we need to compute to fulfill the probability that at the end, at least 5 people stayed the entire time of which we know 3 will stay, so for the remaining 3,we'll compute;

P[≥2] which is x~bin(3,0.4)

Thus;

P(≥2) = (C(3,2) x 0.4² x 0.6) + (C(3,3) x 0.4³)

P(≥2) = 0.288 + 0.064

P(≥2) = 0.352

7 0
4 years ago
Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym
yaroslaw [1]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Interest rate= 0.06/12= 0.005

Number of periods= 12*5= 60 months

<u>a)</u>

<u>To calculate the future value, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^60) - 1]} / 0.005

FV= $6,977

b) <u>If the deposit is at the beginning of the month, the interest is compounded one more period</u>. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

FV= 6,977 + {[100*(1.005^60)] - 100}

FV= 6,977 + 35

FV= $7,012

3 0
3 years ago
0.4 miles<br> 1.69 miles<br> 3.0 miles<br> 6.4 miles
anygoal [31]

Answer:

.4 is the answer

Step-by-step explanation:

This is a right triangle problem.  We have one leg as .5 in length and the other leg as 1.2 in length.  The "straight" way to your grandma's house is the hypotenuse.  We need to find that length which will give us the distance straight from your house to their house if you didn't have to go out of your way to avoid the water.  The hypotenuse is found with Pythagorean's Theorem.  It will be filled in and solved as follows:

.5^2+1.2^2=c^2

.25+1.44=c^2

1.69=c^2

and c = 1.3

That's the straight distance.  You had to go out of your way to the tune of .5+1.2 which is 1.7 miles.  You figure out how much shorter it is taking the straight path by subtracting 1.7 - 1.3 which is .4

7 0
3 years ago
Match each expression with the equivalent expression.
Mars2501 [29]

Answer: distributing

2(6x + 6) <em>is</em> 12x + 12

16x - 8 <em>is</em> 8(2x - 1)

3(x - 2) <em>is</em> 3x - 6

3(4x + 4) <em>is</em> 12x + 12

2x + 6 <em>is</em> 2(x + 3)

4(x + 3)<em> is</em> 12x + 12

Step-by-step explanation:

Distribute the number in front of the parenthesis to the numbers inside the parenthesis .

for example: 3(x-2)

3 times x = 3x

3 times -2= -6

answer: 3x - 6

5 0
3 years ago
Read 2 more answers
In 4 ​hours, an experienced cook prepares enough pies to supply a local​ restaurant's daily order. Another cook prepares the sam
vodka [1.7K]

Answer:

9\frac{1}{3}hours

Step-by-step explanation:

Let third cook take x hours to prepare the same number of  pies y alone

Let y be the number of pies

In 1 hour ,third cook prepare pies=\frac{y}{x}

One experienced cook takes time to prepare enough pies  =4 hours

In 1 hour , cook prepare pies=\frac{y}{4}

Another cook takes time to prepare same number of pies =7 hours

In 1 hour , another cook prepare pies=\frac{y}{7}

All three cooks take time to  prepare the same number of pies=2 hours

In 1 hour,all three cooks  prepare  pies=\frac{y}{2}

According to question

\frac{y}{4}+\frac{y}{7}+\frac{y}{x}=\frac{y}{2}

y(\frac{1}{4}+\frac{1}{7}+\frac{1}{x})=\frac{y}{2}

\frac{1}{4}+\frac{1}{7}+\frac{1}{x}=\frac{1}{2}

\frac{1}{x}=\frac{1}{2}-\frac{1}{4}-\frac{1}{7}

\frac{1}{x}=\frac{14-7-4}{28}=\frac{3}{28}

x=\frac{28}{3}=9\frac{1}{3} hours

Hence, the third cook takes time to prepare the same number of pies alone=9\frac{1}{3}hours

8 0
3 years ago
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