Change each mixed numeral to a fraction. 1 1/2, 1 7/8, 4 2/3, 5 5/6

Answers

Answer 1

Answer: 3/2, 15/8, 14/3, 35/6

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I need to show my work but I don’t know how to do these can someone help me??

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Use cymath.com it shows the steps to copy

Triangle inequality Theorem

Answers

states that the sum of any 2 sides of a triangle must be greater than the measure of the third.

A bank is offering 2.5% simple interest on a savings account. if you deposit $5000,how much interest will you earn in 0ne year?

Answers

2.5% of 5000 is 125. So in the first year you'll earn $125.

Final answer:

The interest earned on a $5000 deposit with a simple interest rate of 2.5% for one year is $125.

Explanation:

To calculate the interest earned on a savings account, you can use the formula: Interest = Principal × Interest Rate × Time. In this case, the principal (amount deposited) is $5000, the interest rate is 2.5% (or 0.025 as a decimal), and the time is 1 year. Plugging in these values, we get:

Interest = $5000 × 0.025 × 1 = $125.

Therefore, you will earn $125 in interest on your $5000 deposit after one year.

Learn more about Calculating Interest here:

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F(x) = 4x - 7 find the range value for a domain value of { -3 }

Answers

$f(-3)=4\cdot(-3)-7=-12-7=-19$

The sum of three decimals is 450.63. What is the third decimal, if two of them are 126.53 and 95.54?

Answers

Answer:

228.56

Step-by-step explanation:

Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%. Find the probability of each event. P(at least one boy anf one girl)

P(two boys and one girl)

P(at least two girls)

I don't care if you cab only answer one, I would very much appreciate it if you still answered that one instead of nothing.

Answers

Answer:

1) $\text{P(at least one boy and one girl)}=(3)/(4)$

2) $\text{P(at least one boy and one girl)}=(3)/(8)$

3) $\text{P(at least two girls)}=(1)/(2)$

Step-by-step explanation:

Given : Mr. and Mrs. Romero are expecting triplets. Suppose the chance of each child being a boy is 50% and of being a girl is 50%.

To Find : The probability of each event.

1) P(at least one boy and one girl)

2) P(two boys and one girl)

3) P(at least two girls)

Solution :

Let's represent a boy with B and a girl with G

Mr. and Mrs. Romero are expecting triplets.

The possibility of having triplet is

BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG

Total outcome = 8

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

1) P(at least one boy and one girl)

Favorable outcome = BBG, BGB, BGG, GBB, GBG, GGB=6

$\text{P(at least one boy and one girl)}=(6)/(8)$

$\text{P(at least one boy and one girl)}=(3)/(4)$

2) P(at least one boy and one girl)

Favorable outcome = BBG, BGB, GBB=3

$\text{P(at least one boy and one girl)}=(3)/(8)$

3) P(at least two girls)

Favorable outcome = BGG, GBG, GGB, GGG=4

$\text{P(at least two girls)}=(4)/(8)$

$\text{P(at least two girls)}=(1)/(2)$

Let's represent a boy with B and a girl with G

For example BBB is three boys and BGB is two boys and one girl.

These are all the possibilities

1) BBB

2) BBG

3) BGB

4) BGG

5) GBB

6) GBG

7) GGB

8) GGG

There is in total 8 different possibilities.

Now let's analyze the conditions

p (at least one boy and one girl)

That excludes only BBB and GGG so they are 6 possibilities out of 8

p = 6/8 = 3/4

p (two boys and one girl).

Those are 3 out of 8

p = 3/8

p (at least two girls)

Those are 3 (two girls) + 1(three girls) = 4

P = 4/8 = 1/2

Please, let me know if this was satisfactory for you.

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