1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leno4ka [110]
1 year ago
7

Clara did not want to tell Carl how old she was. All she said was that every year on her birthday, her Mom puts as many coins in

her money box as how old she turned that day. Carl roughly estimated the number of coins in the box as not less that 110 but not more than 130 coins. How old is Clara?
Mathematics
1 answer:
Anestetic [448]1 year ago
5 0

Clara is 15 years old, and there are 120 coins on the box.

<h3>How old is Clara?</h3>

Each year her mom puts as many coins in her money box as how old she turns that day.

So on her first birthday, 1 coin is put in the box.

On her second birthday, 2 coins are put in the box

And so on.

So we have the simple summation:

\sum_{n = 1} n

We know that the outcome of that summation is a number in the interval [110, 130]

If we know that the sum goes from n = 1 to n = N (N is the age of Clara) then we can rewrite the summation as:

N*(N + 1)/2

Now we can solve:

N*(N + 1)/2 = 110\\\\N^2 + N = 220\\\\N^2 + N - 220 = 0

The two solutions of the quadratic equation are:

N = \frac{-1 \pm \sqrt{1^2 - 4*1*(-220)} }{2} \\\\N = (-1 \pm 29.7) /2

If we take only the positive solution:

N = (-1 + 29.7)/2 = 14.35

Now, notice that we got this number by taking the smallest possible number of coins (110) So we can round this to the next whole number, which is 15.

If N = 15, then the number of coins in the box is:

15*(15 + 1)/2 = 120

Which lies on the wanted interval.

If you want to learn more about summations:

brainly.com/question/542712

#SPJ1

You might be interested in
Describe how to use a tens fact to find the difference for 15-8
shusha [124]
You can round 15 to 20, and 8 to 10
7 0
3 years ago
Which shape below does not have rotation symmetry can someone help me on this question plzzz
taurus [48]
Triangle? because when you rotate it each part will be a bit different
3 0
2 years ago
Work out 2.9 cos 17° rounded to 2 d.p.
kirill115 [55]

Answer:

2.77

Step-by-step explanation:

2.9 cos (17) = 2.77

6 0
2 years ago
Read 2 more answers
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m
Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The width of the interval is:

W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an \pi

Interval A:

9000 viewers.

So the width is

W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}

Interval B:

100 viewers

So the width is

W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}

Relationship between the widths:

R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

8 0
3 years ago
Slope= 2 y-intercept=3. Write in point slope form
Leni [432]

Answer:

Y-3=2(x-0)

Step-by-step explanation:

To find our answer, we have to use point slope form

Point slope form looks like this:

Y-y1=m(x-x1)

When we fill these things in we get,

Y-3=2(x-0)

Hope this helps and please award brainliest

3 0
2 years ago
Read 2 more answers
Other questions:
  • Lori wants to distribute 35 peaches equally into baskets. how many baskets does Lori need?
    10·2 answers
  • 4x + y = 3 -2x + 3y = -19 what's the solution plz help
    13·1 answer
  • Hey can you please help me posted picture of question help
    11·2 answers
  • What is the value of the power a if 5 to the power of a is equal to 1/125
    7·1 answer
  • Please help quickly this is like the last answer for a test so please help quickly
    7·1 answer
  • Which of the following would not represent the phrase “the difference of two numbers divided by 5”?
    6·1 answer
  • Jared and Pedro walk 1 mile in about 15 minutes. They can keep up pace for several hours. About how far they walk in 65 minutes
    9·1 answer
  • In the number 344,589, how many times greater is the value of the 4 in the ten thousands place than the value of the 4 in the th
    6·1 answer
  • GIVING OUT FREE BRAINLIEST!!!!!!!!!!!!!!!!
    14·2 answers
  • Write two fractions whose product is between 1/5 and 1/2 , and whose sum is negative. please help asap!! thanks!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!