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
Pie
3 years ago
12

What is the upper and lower quartile of this set of data? 15, 19, 20, 25, 31, 38, 41

Mathematics
2 answers:
morpeh [17]3 years ago
4 0

Answer:

Lower Quartile (Q1) = 19; Upper Quartile (Q3) = 38.

Step-by-step explanation:

To find the quartiles, we begin by finding the median (Q2).  The median is the middle value; this is 25.

The median splits the data into half.  The median of the lower half is 19; this is the lower quartile.  The median of the upper half is 38; this is the upper quartile.

aev [14]3 years ago
3 0
Answer:

Upper quartile: 38
Lower quartile: 19
You might be interested in
Find the average rate of change for fx) = x2 – 3x – 10 from x = 4 to x = 6.
Leviafan [203]

Answer:

7

Step-by-step explanation:

The rate of change is defined as

f(x2) - f(x1)

--------------------

x2-x1

x2 = 6

f(6) = x^2 – 3x – 10 = 6^2 -3*6 -10 = 36 - 18-10=8

x1 = 4

f(4) = x^2 – 3x – 10 = 4^2 -3*4 -10 = 16 - 12-10=-6

Substitute the values into the expression

8 -  -6

--------------------

6-4

8+6

------------

2

14/2= 7

6 0
3 years ago
A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? r
MAXImum [283]

The force needed to keep the cart at rest is 149.022 pounds

<h3>Force and Motion</h3>

Given Data

  • Weight of cart = 200 pounds
  • Angle = 40 degree

The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have

Fy = Mg sin θ

Substituting our given data we have

Fy = 200 sin 40

Fy = 200 *0.74511

Fy = 149.022 pounds

Learn more about force here:

brainly.com/question/12970081

7 0
2 years ago
Which equation represents a population of 250 animals that decreases at an annual rate of 21% ?
victus00 [196]

Answer: Choice C.  p = 250(0.79)^t

Work Shown:

p = a*b^t

p = a*(1+r)^t

p = 250*(1+(-0.21))^t

p = 250(0.79)^t

Note that r = -0.21 is negative to indicate we have exponential decay.

3 0
2 years ago
A stack of cards consists of seven red and four blue cards. A second stack of cards consists of eleven red cards. A stack is sel
Ann [662]

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Conditional probability:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that N = 11.

7 red, which means that k = 7

3 are chosen, which means that n = 3

We want all red, so we find P(X = 3).

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

P(A) = 0.2121*0.5 + 1*0.5 = 0.60605

Probability of all red cards and from the first stack:

0.21 of 0.5. So

P(A \cap B) = 0.21*0.5 = 0.105

What is the probability the first stack was selected?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733

0.1733 = 17.33% probability the first stack was selected.

4 0
3 years ago
He pressure of a tyre is 32 pounds per square inch. Given 1 pound = 0.4536 kilograms 1 inch = 2.54 centimetres Work out the pres
ss7ja [257]

Step-by-step explanation:

1pound =0.4536kiligrams=,453.6grams

1square inch =2.54×2.54=6.4516

(32pounds/inch√2square

×453.6g)

(14515.2g/inch √2

÷6.4516)/6.4516

(2,262.34414)1cm√2

2262g/cm2

7 0
2 years ago
Other questions:
  • Solve for x: 3x − 24 = 81
    15·2 answers
  • What is the one shape of cross-section we could create by slicing the cube parallel to one of its faces?
    5·2 answers
  • Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para
    11·1 answer
  • A rope is cut into equal pieces, and 8 of the pieces are used to tie up
    6·2 answers
  • A car drives at a speed of 34 2/3 mph. How many miles will the car travel in:<br> 40 min?
    14·1 answer
  • Solve 41-9+(8×2.3)-15+(2.1×4)
    9·1 answer
  • 1 n +5 - 1<br> n2 + n n2 +n<br> n-6<br> n +1
    13·1 answer
  • In three days, Karen ate 1/3 of a large bag of chips during
    13·1 answer
  • Awnser plsssssssssssssss
    6·2 answers
  • Can someone help me please I put the picture
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!