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
natita [175]
3 years ago
8

Mary owned n sheep and Sam had exactly 4 times as many sheep as Mary.

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
8 0

Answer:

The least value of n is, 9.

Step-by-step explanation:

Mary(M) owned the number of sheep is n i.e, M = n sheep

Sam(S) had exactly four times as many sheep as Mary , i.e, S = 4 n sheep

As per the given condition Mary buys 17 extra sheep

Now, Mary has total number of sheep, M = n +17 sheep

And Sam sells 8 of his sheep that means he has now,

But, Sam still has more sheep than Mary i.e,  

Solve an inequality:

Add 8 both sides we get;

Simplify:

Now, subtract n from both the side, we get;

Simplify:

or

Since n is the number of sheep in integer,

then the least value of n is, 9.

Nostrana [21]3 years ago
8 0
Ymdnsjsjsnsnskdmnddu shsnsbshs
You might be interested in
What is the equation of this graphed line ?
yanalaym [24]
Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).
7 0
3 years ago
Read 2 more answers
20 POINTS! TTM
g100num [7]

A relation is (also) a function if every input x is mapped to a unique output y.

In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:

  1. The first graph is exactly a vertical line, so it's not a function.
  2. The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
  3. The third graph is not a function, because you can draw vertical lines that cross the graph twice.
  4. Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
  5. The fifth graph is a function, because every vertical line crosses the graph once
  6. The last graph is a function, although discontinuous, for the same reason.
8 0
4 years ago
Read 2 more answers
A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi
Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sum of n values of a distribution, the mean is \mu \times n and the standard deviation is \sigma\sqrt{n}

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that \mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{20000 - 20000}{300}

Z = 0

Z = 0 has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0
3 years ago
Y > x + 1
Romashka-Z-Leto [24]

Answer:A D F

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which statement is correct for the graph of the specified function?
mash [69]

The correct statement regarding the function plotted in the graph is:

C) The maximum value of the quadratic function occurs at y = 4.

<h3>What is the rate of change of the linear function?</h3>

When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:

R = [8 - (-7)]/-5 - 0 = 15/-5 = -3

<h3>What is the maximum value of the quadratic function?</h3>

It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.

More can be learned about functions at brainly.com/question/25537936

4 0
2 years ago
Other questions:
  • The following data represent the muzzle velocity​ (in feet per​second) of rounds fired from a​ 155-mm gun. For each​ round, two
    13·2 answers
  • A student skipped a step when she tried to convert 18 hours into seconds and she got the following result:
    9·1 answer
  • What is the value of 6x squared+ 4x + 8 when x=7? Please answer this I really need help!
    11·1 answer
  • What is 94 written in word form
    6·2 answers
  • Find the slope and y intercept of 2y-6=8x+4<br><br> Graph the linear equation:<br> 9+y=8-x
    11·1 answer
  • Which of the following is equal to 105×5 ?
    7·2 answers
  • The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.
    9·2 answers
  • Which is the equation of this best line of fit?
    12·1 answer
  • How many times does 33 go into 112?
    8·1 answer
  • Please help what is it
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!