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
andrey2020 [161]
2 years ago
11

Charlie has the utility function u(xa, xb) =xaxb.his indifference curve passing through 32 applesand 8 bananas will also pass th

rough the point where he consumes 4 apples and
Mathematics
1 answer:
natka813 [3]2 years ago
4 0
<span>On an indifference curve, all bundles give the same amount of utility. (32,8) gives a utility of U(32,8)=32x8=256 If (4,y) is on the same indifference curve, then it must give the same utility. Hence, 256 = 4y y=64 64 bananas</span>
You might be interested in
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were
irga5000 [103]

Answer:

18 cups.

Step-by-step explanation:

7 0
3 years ago
Suppose that from the past experience a professor knows that the test score of a student taking his final examination is a rando
DENIUS [597]

Answer:

n=13.167^2 =173.369 and if we round up to the nearest integer we got n =174

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable who represents the test score of a student taking his final examination. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =73,\sigma =10.5)

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

Solution to the problem

We want to find the value of n that satisfy this condition:

P(71.5 < \bar X

And we can use the z score formula given by:

z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}

And we have this:

P(\frac{71.5-73}{\frac{10.5}{\sqrt{n}}} < Z

And we can express this like this:

P(-0.14286 \sqrt{n} < Z< 0.14286 \sqrt{n} )=0.94

And by properties of the normal distribution we can express this like this:

P(-0.14286 \sqrt{n} < Z< 0.14286 \sqrt{n} )=1-2P(Z

If we solve for P(Z we got:

P(Z

Now we can find a quantile on the normal standard distribution that accumulates 0.03 of the area on the left tail and this value is: z=-1.881

And using this we have this equality:

-1.881 = -0.14286 \sqrt{n}

If we solve for \sqrt{n} we got:

\sqrt{n} = \frac{-1.881}{-0.14286}=13.167

And then n=13.167^2 =173.369 and if we round up to the nearest integer we got n =174

6 0
3 years ago
Gravitational force acts on all object in proportion to their masses. Why then, a heavy object does not fall faster than a light
nordsb [41]
Because force= acceleration x mass Acceleration is constant for a body of any mass since force is exactly proportional to mass.
7 0
2 years ago
Read 2 more answers
The moon is about 240,000 miles from Earth. What is the distance written as a whole number multiplied by a power of ten?
spin [16.1K]

The answer is 24 * 10^4

Since we’re asked for a whole number, we count the number of zeros after the first nonzero numbers. In this case, our first non-zero numbers are 2 and 4 (24). The number of zeros after these numbers  are four (4). The number of zeros indicates the power number of 10.

Had we been asked for a decimal number   and a power of 10, then the answer  would have been 2.4 * 10^5


8 0
2 years ago
Read 2 more answers
D. (1/2)n +7 = (n+14)/2
TEA [102]

Answer:

n=-14

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the y intercept of 2y-5x=16
    11·2 answers
  • A cylinder has a height of h inches and a diameter of 3 inches. Give the expression of the volume of the cylinder in cubic inche
    7·1 answer
  • Bijan is making a banner for his school. Along the bottom edge of the banner is a row of small squares. Each square is 6 inches
    11·1 answer
  • Where does the line y = 3x + 5 cross the y-axis?
    6·1 answer
  • 2/3 minus 2/3 What does that equal in fraction form
    13·2 answers
  • Use a periodic table to find symbol,atomic mass number for each of the following elements need help thank you
    7·2 answers
  • 1. A die is rolled once. What is the probability of rolling :
    6·1 answer
  • Please help, will give Brainly at if correct
    7·2 answers
  • Simplify y - 3 over 3 +12
    9·1 answer
  • Find the slope of the line passing through the points (-9, -2) and (5,-2).
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!