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3 years ago

8

If g represents Greg's age and his daughter is 4 years less than one half his age, then write an expression for his daughter's a

ge in terms of the variable g.
I need help 3':

1 answer:

CaHeK987 [17]3 years ago

4 0

(G/2)-4=Greg's Daughter's Age

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Which set of numbers is correctly ordered from greatest to least?

shepuryov [24]

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

$7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}$

Option 2:

$7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}$

Option 3:

$3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}$

Option 4:

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

Solution:

Lets write each of the above given numbers in a simplified form:

$7\frac{1}{3}$

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

$7\frac{1}{3}$ = 7.3

$\frac{221}{30}$

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

$\frac{221}{30}$ = 7.367

$7.36$

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

$3.16\sqrt{2e}$

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 $\sqrt{2*2.718}$

= 3.16 (√5.436)

= 3.16 * 2.331523

= 7.3679949818

= 7.368

So

$3.16\sqrt{2e}$ = 7.368

7.367995

Now we get the numbers in decimal form:

$7\frac{1}{3}$ = 7.333333 = 7.3

$\frac{221}{30}$ = 7.3666666667 = 7.367

7.36 = 7.3636363636

$3.16\sqrt{2e}$ = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

$3.16\sqrt{2e}$

$\frac{221}{30}$

7.36

$7\frac{1}{3}$

So the correct option is:

Option 4

$3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}$

7 0

3 years ago

A Ferris wheel holds up 48 people there are 823 people with tickets to ride the Ferris how many times will the Ferris wheel need

julia-pushkina [17]

Answer:

at least 18 times

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How do i turn factions to decimals?<br><br> Such as 2/7 written as a decimal is:

arlik [135]

0.28

2 divided by 7 is 0.28

All you have to do is divide the numerator by the demoninator in order to get your decimal.

5 0

3 years ago

Read 2 more answers

The slope, M, of the line through the distinct points (x, y) and (y2,y1) is given by the formula m =

rjkz [21]

Answer:

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

It is wise to remember this formula. It is one of the most important formulas in Algebra and is fundamental in higher level math courses.

We use this formula to determine the slope, or the average rate of change between 2 points.

3 0

3 years ago

Benny is trying to learn how to ride a bike, but is terrified of falling. He did some research, and discovered that if he rides

Anestetic [448]

Answer:

a) 7.14% probability that Benny was learning to ride a bike using the training wheels

b) 28% probability that Benny was learning to ride a bike using the training wheels

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

Benny came home crying with a bruise on his knee, after falling. His mom is trying to guess how Benny was trying to learn to ride a bike.

a) Assuming that the probability that Benny was using each of these 3 methods is equal, what is the probability that Benny was learning to ride a bike using the training wheels?

So

Event A: Benny fell

Event B: Benny was using training wheels.

The probability that Benny was using each of these 3 methods is equal

This means that $P(B) = \frac{1}{3}$

He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;

This means that $P(A|B) = 0.1$

Probability of falling:

1/3 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.

1/3 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5

1/3 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then

$P(A) = \frac{0.1 + 0.5 + 0.8}{3} = 0.4667$

So

$P(B|A) = \frac{\frac{1}{3}*0.1}{0.4667} = 0.0714$

7.14% probability that Benny was learning to ride a bike using the training wheels

b) Since Benny's mom knows Benny so well, she knows that the probability that he was using training wheels is 0.7, regular bike is 0.2, and unicycle is 0.1. What is the probability now that Benny fell while using the training wheels?

Similar as above, just some probabilities change.

Event A: Benny fell

Event B: Benny was using training wheels.

The probability that he was using training wheels is 0.7

This means that $P(B) = 0.7$

He did some research, and discovered that if he rides a bike with training wheels, the probability of falling is 0.1;

This means that $P(A|B) = 0.1$

Probability of falling:

0.7 of the time, he uses training wheels. With training wheels, the probability of falling is 0.1.

0.2 of the time, he uses the bike without training wheels. Without training wheels, the probability of falling is 0.5

0.1 of the time, he uses the unicycle, for which he has an 0.8 probability of falling. Then

$P(A) = 0.7*0.1 + 0.2*0.5 + 0.1*0.8 = 0.25$

So

$P(B|A) = \frac{0.7*0.1}{0.25} = 0.28$

28% probability that Benny was learning to ride a bike using the training wheels

7 0

4 years ago