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klasskru [66]
3 years ago
11

Jennifer is twice as old as laurel, who is 4 years younger than nana. If nana is two years younger than Jennifer what is nana’s

age in years?
Mathematics
1 answer:
shutvik [7]3 years ago
7 0

Nana's age: 10 years

Step-by-step explanation:

Here we call:

J = Jennifer's age

L = Laurel's age

N = Nana's age

We have the following information:

- Jennifer is twice as old as laurel, so

J = 2L (1)

- Laurel is 4 years younger than Nana, so

L = N - 4 (2)

- Nana is 2 years younger than Jennifer, so

N = J -2 (3)

Substituting (2) into (1),

J = 2(N-4) = 2N - 8

And substituting this into (3) and solving for J, we find Nana's age:

N = (2N-8) - 2

N = 2N - 10

N = 10

Which means that Jennifer's age is:

J =  N + 2 = 12

And Laurel's age is

L = J/2 = 6

Learn more about equations:

brainly.com/question/11306893

brainly.com/question/10387593

#LearnwithBrainly

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Sunhee had four plastic shapes a square, a circle, and a pentagon in how many ways can she line up the four shapes of the circle
julsineya [31]

Answer:

only three shapes are mentioned.

But anyhow, 4 shapes allow the following reasoning...

you can start lining up with any of the for shapes, so you have 4 possibilities, for the second position you have 3 possibilities, for the third 2 and for the last only 1.

so 4*3*2*1= 24 possible ways

but with the added rule to keep the circle and the square apart, we have to reduce the number.

by the same step-by-step reasoning we get

4 possibilities for the 1st item

only 2 possibilities for the 2nd item

(if 1st is square or circle, the other one's not an option, if it's not we have to choose one of them to not place them both at point 3 and 4)

only 1 choice for the 3rd item

(reasoning as above, if 2nd is square or circle, we have to the only other, if it isn't, we can put it here at 3rd position)

plus scenarios where either square or circle are on 1st point, the other's on 4th.

I guess that makes 14 possible arrangements

5 0
3 years ago
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
4/6x2/3 simplified and in fraction form
Kaylis [27]

Answer:

onvert 234 2 3 4 to an improper fraction. ... Divide each term by −6 - 6 and simplify. ... The result can be shown in multiple forms.

Step-by-step explanation:

4 0
2 years ago
3/5 of those attending a picnic decided to play touch football. one more decided to play, there were 16 players. how many attend
Effectus [21]
The answer is 9.6
3/5 of 16=9.6
7 0
3 years ago
The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated
Nookie1986 [14]

f(x) + n - shift a graph of f n units up

f(x) - n - shift a graph of f n units down

f(x + n) - shift a graph of f n units left

f(x - n) - shift a graph of f n units right.

f(x) = x³, g(x) = (x - 2)³ - 3 = f(x - 2) - 3

2 units right and 3 units down.

3 0
3 years ago
Read 2 more answers
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