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
svlad2 [7]
3 years ago
11

On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

You might be interested in
Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
MA_775_DIABLO [31]
The answer will be -8+13
4 0
3 years ago
Jess gave her a ​$4.90 tip. The tip was 7​% of the cost of the . Write an equation to find​ b, the cost of the Manicure
Naddik [55]
The formula to finding percentages is x% * y = c. So 7% of $4.90 is 0.343.
( 7% is 0.07)
4 0
3 years ago
The mean number of points in 1977 was 1189 points with standard deviation of 397 points. With a roughly normal distribution, wha
KonstantinChe [14]

Answer:

C. 95%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1189 points, standard deviation of 397 points.

Percentage between 395 and 1983 points?

395 = 1189 - 2*397

1983 = 1189 + 2*397

So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.

5 0
3 years ago
Mr. Sonny's science class is calculating the average number of blinks per minute. Jan blinks 72 times in 4 minutes. What is her
serg [7]

Answer:

18

Step-by-step explanation:

6 0
3 years ago
Ask Your Teacher Equal amounts are invested at 2%, 7%, and 9% annual interest. If the three investments yield a total of $828 an
Nookie1986 [14]

Answer:

$4600

Step-by-step explanation:

Write an equation to represent the problem.

Interest is calculated by multiplying the interest rate with the investment. <u>Multiplying each of the rates</u> (2%, 7% and 9%) <u>in decimal form with the investment amount is equal to the annual interest</u>, (828).

Convert a percentage to decimal form by dividing by 100:

2% ÷ 100 => 0.02

7% ÷ 100 => 0.07

9% ÷ 100 => 0.09

let "P" represent the amount of money for the total investment

0.02P + 0.07P + 0.09P = 828

Use the equation to solve for "P". Simplify by collecting like terms (numbers that have the same variable) then isolate "P" by moving the other numbers to the right side. To move a number to the other side, do it's reverse operation to both sides of the equation. (The reverse of multiplying is dividing).

0.02P + 0.07P + 0.09P = 828        Collect like terms

0.18P = 828        Isolate "P"

0.18P/0.18 = 828/0.18        Divide both sides by 0.18

P = 828/0.18         "P" is isolated because 0.18 cancelled out. Simplify.

P = 4600        Total investment

Therefore the total investment is $4600.

5 0
3 years ago
Other questions:
  • determine the quadratic function of f whose graph is given. The vertex is (1,-3) and the y-intercept is -2
    12·1 answer
  • Twelve students were asked how long they spent doing homework last week. The scatter plot shows the results of the survey.
    8·1 answer
  • Can someone help me number 4 only thanks :)
    9·2 answers
  • A pencil at a stationery store costs $1, and a pen costs $1.50. Stefan spent $7 at the store. He bought a total of 6 items. Whic
    12·2 answers
  • Complete the table for the given rule. Y= x+2/3
    15·1 answer
  • PLEASEEEE HELPPP i can’t get it
    11·1 answer
  • Rebecca decides to give all employees in her company a raise on their daily wage. She allows each employee to
    12·2 answers
  • The sum of two numbers is 16. their difference is 1. what is the product of the two numbers
    7·1 answer
  • A store is having a 20%-off sale on all pairs of shoes. Kurt wants to buy a pair of shoes that have a regular price of x dollars
    13·1 answer
  • What is the equation of the slant asymptote of the rational function?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!