Harry wanted to know the amount of hours that his classmates spent doing homework on any given
night. He surveyed his classmates and received the following data set.
.5, .5, .75, .75, .75, 1, 1, 1, 1, 1.5, 1.5, 2, 2, 3, 4
What is the interquartile range of the data set that Harry collected?

Answers

Answer 1

Answer:

1.25

Step-by-step explanation:

Hopefully that's right. It's a bit hard to see separation

Answer 2

The interquartile range of Harry's collected data set is 1.25 hours.

To calculate the interquartile range (IQR) for the given data set, we must first arrange the data in ascending order, which is already done in this case. The data set is .5, .5, .75, .75, .75, 1, 1, 1, 1, 1.5, 1.5, 2, 2, 3, 4. The next step is to find the medians of the lower and upper halves of the data set to locate the first quartile (Q1) and the third quartile (Q3).

Since the data set has 15 numbers, the median (which is also Q2) would be the 8th value, which is 1.

For Q1, we take the lower half, which consists of the first 7 numbers. The median of this subset is the fourth value: 0.75.

For Q3, we consider the upper half, which consists of the last 7 numbers. The median of this subset is the fourth value: 2.

Now, calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 2 - 0.75 = 1.25.

Therefore, the interquartile range of the data set that Harry collected is 1.25 hours.


Related Questions

13. Andi can rent a furnished apartment for $605 per
month. The landlord requires first and last months'
rent plus a security deposit of $300. How much will
Andi have to pay before she can rent this
apartment?
$300
$2,115
$1,210
$1,510
$605​

Answers

Answer:

$1,510

Step-by-step explanation:

Multiply $605 × 2 to get first and last month rent total. =$1,210

Then add $1,200 +$300(security deposit)=$1,510 total deposit to acquire the apartment

Answer:

Andi have to pay $1,510.

Step-by-step explanation:

Andi can rent a furnished apartment for = $605 per month

with a security deposit = $305

Her landlord requires first and last months' rent plus a security deposit.

Andi have to pay = first month rent + last month rent + security deposit.

= $605 + $605 + 300 = $1,510

Andi have to pay $1,510 before she can rent this apartment.

A bank is offering a loan to account holders. If they pay the full amount off in 14 months they are charged no interest. Denise needs a $6500 loan to get a new car, in order for her to avoid interest charge how much will she have to pay back each month?

Answers

Final answer:

Denise will need to pay $464.29 each month for 14 months to repay a $6500 loan and avoid any interest charge.

Explanation:

To calculate how much Denise will need to pay each month to avoid an interest charge on her $6500 loan, we simply divide the total loan amount by the number of months she has to repay the loan.

So, the monthly payment Denise needs to make is $6500 divided by 14 months:

$6500 ÷ 14 months = $464.29 per month (rounded to two decimal places).

To repay the full amount in 14 months and avoid any interest, Denise will need to pay $464.29 each month.

Suppose P(A) =0.9, P(B) = 0.6, and P(B|A) = 0.2. What is P(A|B)

A) 0.36
B)0.45
C)0.3
D)0.6

Answers

P(B|A): P(A and B) / P(A)

P(A and B): P(A)•P(B) so 0.9 • 0.6 = 0.54

P(A|B): 0.54 / 0.9 = 0.6

Answer: D) 0.6

The value of the conditional probability is given by Bayes theorem and the value of P ( A | B ) = 0.1333

What is Bayes Theorem?

The likelihood that an event will occur based on the likelihood that a comparable outcome will occur in the future. The theorem offers a method for updating existing predictions or hypotheses in light of fresh or updated data. This is known as conditional probability.

Bayes Theorem states that based on past knowledge of circumstances that could be relevant to the occurrence, the Bayes Theorem estimates the likelihood of an event.

And , P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

Given data ,

Let the conditional probability be represented as P

Now , the value of P ( A ) = 0.9

The value of P ( B ) = 0.6

The value of P ( B | A ) = 0.2

From the Bayes theorem , we get

P ( A | B ) = [ P ( B | A ) P ( B ) ] / P ( A )

On simplifying , we get

P ( A | B ) = [ 0.2 x 0.6 ] / 0.9

P ( A | B ) = 0.12 / 0.9

P ( A | B ) = 0.1333

Hence , the Bayes theorem is solved

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If l ll m, what is the value of x?​

Answers

Answer:

x = 137

Step-by-step explanation:

∠43° and ∠x° are same side exterior angles as they are on the same side as the transversal but outside the parallel lines. The 2 angles are supplementary, hence

x + 43 = 180 ( subtract 43 from both sides )

x = 137

Based on the information given, the value of x will be 137°.

It should be noted that angles x and 43° are on the same side of the transversal but they're are outside the parallel lines. In this case, the angles are supplementary which means that when they are added together, their total angles equal 180°.

Therefore, the value of angle x will be:

= 180° - 43°

= 137°

Therefore, x is 137°.

Read related link on:

https://brainly.com/question/13140364

can someone please help me

Answers

Answer:

[tex]r(9p+10)(p+7)[/tex]

Step-by-step explanation:

First, we can factor out an r.

[tex]9p^2r+73pr+70r \\ \\ r(9p^2+73p+70)[/tex]

Then, we can factor this out.

[tex]r(9p+10)(p+7)[/tex]

what is the mean of the values in the stem-and-leaf plot into your answer in the Box​

Answers

Answer:

Step-by-step explanation:

you need more information bu the stem-leaf is meant to split the number

If f(x) = x-1/3 and g(x) = 3x+1 , what is the domain of (f*g)(x) ?

Answers

Answer:

-∞ < x < ∞

Set of all integers

Step-by-step explanation:

Given in the question two functions

f(x) = [tex]x^{\frac{1}{3} }[/tex]  = ∛x

g(x) = 3x + 1

(f*g)(x)

f(g(x))

∛(3x+1)

Domain of (f*g)(x)

In function ∛(3x+1) , variable x can be any integer.

so, the domain is set of all integers

-∞ < x < ∞

What is the most specific name for quadrilateral PQRS?

Answers

It’s hard to help, since there’s no picture :/

3/4=9/x ASAP help now!!!

Answers

Cross multiply [tex]\frac{3}{4} = \frac{9}{x}[/tex].

3x = 4 * 9

3x = 36

Divide both sides by 3.

[tex]\frac{3x}{3} =\frac{36}{3}[/tex]

x = 12

what is the length of GH to the nearest tenth of a meter​

Answers

tan 45° = x/10

1 · 10 = x

10 = X

GH = 10

Answer:

The correct answer is actually 13.7

Step-by-step explanation:

I'm taking the test now

need help asap!!!


A baseball team averages one win to every one loss.The coach tosses three coins to simulate three games.Heads represents a win and tails represents a loss.The results of 10 coin tosses are shown.Find the experimental probability of 3 losses.

(A)1/5

(B)1/4

(C)1/2

Answers

A is the correct answer

Answer:

(A) 1/5

Step-by-step explanation:

The experimental probability is defined as the ratio between the number of time certain events occurs and the total number of trials.

In this case, there are 10 coin tosses. Notice that there are only two events where the lose three times, that means the probability is

[tex]P=\frac{2}{10}=\frac{1}{5}[/tex]

Which means that in two cases out of ten the lose three games.

Therefore, the right answer is A.

PLEASE HELP WILL MARK BRAINLIEST
-SEE ATTACHMENT-

Answers

ANSWER

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

EXPLANATION

From the Pascal's triangle,

The coefficients are :

1, 5, 10,10, 5,1

Because of the negative sign, the expansion will alternate sign.

[tex](x - y) ^{5} = {x}^{5} - 5 {x}^{4} y + 10 {x}^{3} {y}^{2} - 10 {x}^{2} {y}^{3} + 5x {y}^{4} - {y}^{5} [/tex]

We now put y=5 into the expansion to get,

[tex](x - 5) ^{5} = {x}^{5} - 5 {x}^{4} (5) + 10 {x}^{3} ( {5}^{2}) - 10 {x}^{2} ({5})^{3} + 5x( {5})^{4} - {5}^{5} [/tex]

[tex](x - 5) ^{5} = {x}^{5} - 25 {x}^{4} + 250 {x}^{3} - 1250 {x}^{2} + 3125x- 3125[/tex]

Answer:

(x - 5)^5 = x^5 - 25x^4 + 250x³ - 1250x² + 3125x - 3125

Step-by-step explanation:

The explanation in the attached file

What is (ab-9)(ab+8)

Answers

It's an expression that's made out of the product of two binomials.

When the indicated multiplication is carried out, the expression reads:

a²b² - ab - 72

ANSWER

[tex](ab-9)(ab+8) = {(ab)}^{2} - ab - 72[/tex]

EXPLANATION

We want to expand (ab-9)(ab+8)

We use the distributive property to obtain,

[tex](ab-9)(ab+8) = ab(ab+8)-9(ab+8)[/tex]

Expand:

[tex](ab-9)(ab+8) = {(ab)}^{2} +8ab-9ab - 72[/tex]

Combine the middle terms to get;

[tex](ab-9)(ab+8) = {(ab)}^{2} - ab - 72[/tex]

Or

[tex](ab-9)(ab+8) = a^2b^2 - ab - 72[/tex]

A- a regular heptagon
B- an irregular convex heptagon
C-an irregular concave heptagon
D- a complex heptagon

Answers

Answer:

C. an irregular concave heptagon

Explanation:

Before we begin, we should define the terms used in the choices given:

1- Heptagon: It is the polygon that has 7 sides

2- Regular heptagon: It is a 7-sided polygon in which all sides are equal and all angles are equal

3- Irregular heptagon: It is a 7-sided polygon in which neither the sides nor the angles are equal

4- Concave heptagon: It is a 7-sided polygon in which one or more of its angles are more than 180°

5- Convex heptagon: It is a 7-sided polygon in which all its angles are less than 180°

6- Complex heptagon: It is a 7-sided polygon whose dimensions are in the complex plane

Now, let's check the given diagram:

It is a 7-sided polygon, therefore, it is a heptagon

It's sides as well as its angles are not equal, therefore, it is an irregular heptagon

It has interior angles measuring more than 180°, therefore, it is a concave heptagon

Its dimensions are not in the complex plane, therefore, it is not a complex polygon

Based on the above, the best choice is:

C. an irregular concave heptagon

Hope this helps :)

Final answer:

A heptagon is a seven-sided polygon. Regular heptagons have all equal sides and angles, irregular convex heptagons have unequal sides but all angles less than 180 degrees, irregular concave heptagons have at least one interior angle more than 180 degrees while complex heptagons have intersecting sides.

Explanation:

In mathematics, a heptagon is a seven-sided polygon. A- A regular heptagon is a heptagon in which all seven sides and all seven angles are congruent, meaning they are of equal length or degree. B- An irregular convex heptagon has seven sides, but they are not all equal, however, all its interior angles are less than 180 degrees. C- An irregular concave heptagon is also an irregular heptagon, but at least one of its interior angles is more than 180 degrees. D- A complex heptagon is a heptagon with sides that intersect each other, but this is not a standard classification in geometry.

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find the diameter of a circle f a circle with an area of 676pie square centimeters.

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} A=676\pi \end{cases}\implies 676\pi =\pi r^2\implies \cfrac{676\pi }{\pi }=r^2 \\\\\\ 676=r^2\implies \sqrt{676}=r\implies 26=r~\hspace{10em}\stackrel{\textit{diameter = 2r}}{52}[/tex]

The radius of a circle is 6 inches what is the circumference?

Answers

The answer is 37.6991 i hope i answered your question

8 Look at the following nutrition label.
Nutrition Facts
Serving Size 1/2 cup (1159)
Servings Per Container About 4
Amount per serving
Calories 250
Calories from Fat 130
% Daily Value
22%
45%
Total Fat 14g
Saturated Fat 9g
how many calories are in 1 cup? ​

Answers

Final answer:

To find the number of calories in one cup, we double the amount of calories in a 1/2 cup serving. In this case, 250 calories are in 1/2 cup, so 500 calories are in one full cup.

Explanation:

To calculate the number of calories in one cup based on the given nutrition label, we can use a simple multiplication. Given that 1/2 cup contains 250 calories, we just need to double this amount, because 1 cup is equivalent to two servings of 1/2 cup each.

The equation to find the calories in one cup is:

Calories per 1/2 cup × 2 = Calories per cup

Therefore, the calculation would be:

250 calories × 2 = 500 calories

So, one cup of the food item contains 500 calories.

what is the scientific name for the study of shopping

Answers

Buyology

Hope I helped with this clever pun I’ve said since high school

The required scientific name for the study of shopping is termed oniomania.

What are scientific names?

Scientific names are used to provide a name to an organism or object such that two individuals can be sure that they are referring to the same organism.

Oniomania, the scientific name for the study of shopping,
Oniomania shows a strange instinct for buying things. It is an addiction to shopping.

Thus, the required scientific name for the study of shopping is termed oniomania.

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Ryan is buying a triangular tract of land. The triangle has a base of 100 yards and a height of 30 yards. What is the area of the tact to land? HELPPPP PLZZZ

Answers

Answer:may be crazy but its 300.

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

Area is multiplying the numbers together basically. 100*30=300.

What number replaces the ◊?
15 = 15
15 + 4 + ◊ = 15 + 7

A. 3

B.4

C.19

D. 22

Answers

Answer:

The answer is A.

15 + 4 + 3 = 15 + 7

A. 3

First, simplify the equation. (x means the same thing as the symbol)

19 + x = 22

Subtract 19 from both sides of the equation.

x = 22 - 19

x = 3

There’s the answer!

Write the algebraic expression that matches each graph:

Answers

Answer:

y=absolute value of x-1   Looks kind of like y=Ix-1I

Step-by-step explanation:

Answer:

y= IX+1I

Step-by-step explanation:

In these cases +1 is to the left and minus one is to the right

find the area of the shaded region. round to the nearest hundredth where necessary.

Answers

Answer:

this is no picture or any thing to help me to give you a answer

Step-by-step explanation:

Answer:

I am sorry but you don't have a picture.

Step-by-step explanation:

Please hurry and help meeeeeee

Answers

Answer:

d

Step-by-step explanation:

plug the answers in

The answer to the problem is b

helppppppppp asappppp pleaseeeee 10 pointssssss


a box of cereal contains 15 ounces of cereal there are 9 servings of cereal in the box each serving of cereal has 140 calories which expression could you use to find the number of calories in 1 ounce of cereal

A 140 - 15 * 9

B 15 * 140 / 9

C (9 * 140) / 15

D 15 * 9 / 140

Answers

Answer:

(9 * 140) / 15

Step-by-step explanation:

For each serving it is 140 calories, and there is 9 servings in that cereal. So you want to multiply 9 by 140. And there are 15 ounces in the box so the amount of total calories are to be divided by 15. Thus C should be the right answer.

THIS WILL GIVE YOU BRAINLIEST AND 5 STARS!!!!!!

What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?

-1/2
2
-2
1/2

Answers

Alright, so it would be -2 since on a coordinate grid you have the x and y axis. The slope of the line that passes through (-2, 2) and (-4, -2) would be -2.

I hope this helps!~ c:

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (- 4, - 2)

m = [tex]\frac{-2-2}{-4+2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

what is 2x-9y=14 need immediate help​

Answers

Let's solve for x.

2x−9y=14

Step 1: Add 9y to both sides.

2x−9y+9y=14+9y

2x=9y+14

Step 2: Divide both sides by 2.

2x /2

= 9y+14 /2

x= 9 /2 y+7

We need to solve for x.

2x - 9y = 14

Move the 9y to the right side and use inverse operations.

2x = 14 + 9y

Divide both sides of the equation by 2.

x = 7 + 9/2y or x = 7 + 4.5y

I will attach a picture of the graph as well in case that’s what you were looking for.

Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a king?

Answers

Answer:

4/663

Step-by-step explanation:

There are four queens.  The probability that the first card is a queen is 4/52.

There are four kings.  There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

The probability of drawing a queen first and a king second from a standard deck without replacement is 1/663.

The student is asking about the probability of drawing two specific cards from a standard deck of 52 cards. To calculate this probability, we need to consider the sequence of events without replacement. For the first card to be a queen, the probability P(A) is 4/52 because there are 4 queens in a deck of 52 cards. After drawing a queen, there are now 51 cards left in the deck. The chance that the second card is a king, P(B), is then 4/51, as there are still 4 kings but only 51 cards remaining.

The two events are dependent since the outcome of the first draw influences the second. Therefore, the combined probability of both events occurring is found by multiplying the probabilities of each event:

P(A and B) = P(A) × P(B) = (4/52) × (4/51)

This gives us P(A and B) = 1/13 × 1/51, which simplifies to 1/663.

Simplify -8+6i/4-2i​

Answers

Answer:

-1.1+0.4i

Step-by-step explanation:

Multiply the numerator and the denominator by [tex]4+2i:[/tex]

[tex]\dfrac{-8+6i}{4-2i}\cdot \dfrac{4+2i}{4+2i}=\dfrac{-32-16i+24i+12i^2}{4^2-(2i)^2}\ \ [\text{use formula }a^2-b^2=(a-b)(a+b)]\\ \\=\dfrac{-32+8i-12}{16-4i^2}\ \ [\text{remember }i^2=-1]\\ \\=\dfrac{-44+8i}{16+4}\\ \\=\dfrac{-44+8i}{20}\\ \\=-\dfrac{11}{10}+\dfrac{4}{10}i\\ \\=-1.1+0.4i[/tex]

Answer:

−11

5

+

2

5

i

Step-by-step explanation:

James's weekly quiz scores are shown in the stem-and-leaf plot below.


If he drops his scores from the first two weeks, his mode score increases by $2$. How much would his mean score increase?

Answers

Answer:

By 0.75

Step-by-step explanation:

From the stem-and-leaf plot you can find James's scores:

79, 81, 83, 83, 83, 85, 85, 88, 94, 99.

The mode is 83 (most often score). If he drops his scores from the first two weeks, his mode score increases by 2. This means that the mode became 85 and the data looks like

79, 81, 83, 85, 85, 88, 94, 99.

Now find two means.

1. The old mean:

[tex]\dfrac{79+81+83+83+83+85+85+88+94+99}{10}=\dfrac{860}{10}=86;[/tex]

2. The new mean:

[tex]\dfrac{79+81+83+85+85+88+94+99}{8}=\dfrac{694}{8}=86.75;[/tex]

Thus, the mean will increase by 0.75.

what is 18 mm in cm's

Answers

Answer: 1.8 centimeters hope this helps i really need brainlist :)

Answer: answer is 1.8cm

Step-by-step explanation: take 18 and add a decimal in front then move it back 1

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