which box plot represents a data set with a lower quartile or 24 and an upper quartile of 42

Answer:

14.2 feet

Step-by-step explanation:

I rounded off to 1 decimal place

The length of the base of triangle in the given case is 14.28 feet.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The diagram for the given problem can be shown below,

Here, AB = AC = 10 feet and AD = 7 feet.

Apply pythagoras theorem in ΔABD to get,

AD² + BD² = AB²

Substitute the corresponding values to obtain,

BD² = 10² - 7²

⇒ BD = 7.14

Now, CB = 2 × BD

⇒ CB = 2 × 7.14 = 14.28

Hence, the length of the base is given as 14.28 feet.

To know more about Pythagoras theorem click on,

https://brainly.com/question/343682

#SPJ5

Answer:

A. Perpendicular

Step-by-step explanation:

When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.

So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.

It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.

Answer:

0

Step-by-step explanation:

(x+y)0

(-3+5.-012)0

0

anything times 0 is 0

Answer:

These are called angel investors.

Step-by-step explanation:

Angel investors are investors that invest at earlier stages of a business. This is though, inherently risky. I hope my answer helps.

Answer:

3,655.21

Step-by-step explanation:

The amount that Larry owes on his debt after 2 years is $20,514.

The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.

Given information is for monthly compounding as below,

The accumulated money in credit card is, P = $3000.

The rate of interest is 10% per year.

Then, the rate of interest per month is, r = 10/12 = 5/6%.

The time for compounding in years is 2 years.

Then in months, n = 2 × 12 = 24 months.

The formula for amount in compound interest is given as,

A = P(1 + r/100)ⁿ

Substitute the corresponding values to get,

A = 3000(1 + (5/6)/100)²⁴

   = 3000 × 6.838

   = 20514

Hence, the amount owed by Larry on the debt after 2 years is $20,514.

To know more about compound interest click on,

https://brainly.com/question/14295570

#SPJ2

Answer:

B and C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

wednesday thursday and friday amount to 60%

Answer:

Touches only.

Step-by-step explanation:

It only touches the curve at one point. The line is a tangent to the curve and does not cross it.

If you have a ball resting on a table the table is a tangent to the curve of the ball.

Answer: Is true sometimes.

Step-by-step explanation:

I guess that here we have two matrices, A and B, that are nxn.

We can see that if those matrices can conmutate, then we can try it with some simple matrices.

[tex]A = \left[\begin{array}{ccc}1&0\\0&-1\end{array}\right] . B = \left[\begin{array}{ccc}2&0\\1&1\end{array}\right][/tex]

Here, we would have that:

[tex]AB = \left[\begin{array}{ccc}2&0\\-1&-1\end{array}\right][/tex]

[tex]BA = \left[\begin{array}{ccc}2&0\\1&-1\end{array}\right][/tex]

You can see that AB and BA are different, then the statement is not always true.

But it is true sometimes, if A or B are the identiti, then I*A = A*I, in this case would be true.

It is also true if A and B are diagonal matrices, let's prove it:

[tex]A = \left[\begin{array}{ccc}a&0\\0&b\end{array}\right] , B = \left[\begin{array}{ccc}c&0\\0&d\end{array}\right][/tex]

[tex]AB = \left[\begin{array}{ccc}ac&0\\0&bd\end{array}\right] = BA[/tex]

Answer:

$85

Step-by-step explanation:

Earning:

Spending:

Amount available for saving:

Answer: $85

Step-by-step explanation: Took the test and got it correct

Answer:

35

Step-by-step explanation:

a negative and a negative equals a positive

Answer & Step-by-step explanation:

In order to solve for x, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Instead of using the original formula, we will rearrange the formula so we can find the missing side, b, which will represent x.

[tex]b^2=c^2-a^2[/tex]

Now, lets plug in our numbers.

[tex]b^2=120^2-76^2\\b^2=14400-5776\\b^2=8624\\\sqrt{b^2} =\sqrt{8624}\\ b=92.87[/tex]

So, x equals 92.87

Now, lets find y. Since we did the Pythagorean Theorem, this shows that the triangle is a right triangle. So, that means we already know the measurements of two angles which will help us find y.

180 - (35 + 90)

180 - 125

55

So, y equals 55

Answer:

The employee's action is not following the instructions.

Step-by-step explanation:

The drinks table has some recommendations to make some drinks exclusive to the establishment such as the Large Frapuccino or the Small Chai Tea, which in its first line corresponding to the Large Frapuccino specifies that at least 8 ounces of coffee should be used, which it wants to say is the minimum amount of coffee that can be added to it is 8 ounces, and the value could be higher than that, but never lower, which is why by adding only 6 ounces to the Frapuccino you are totally ignoring the instructions.

Answer: (A) Kurt's expression; x = 4.6k

(B) Jared's expression; y = 4.4j

(C) Team's score; z = 4.6k + 4.4j

(D) Team score = 40.6 m

Step-by-step explanation: In order to calculate the average of a given set of data, the formula is to sum up the given data or values and then divide the sum total by the number of values observed. That means, if for instance a student jumps 10 times, his average would be given as the sum of all 10 distances jumped divided by 10. If the sum derived equals 50, then the student's average is 50 divided by 10. In other words;

Average = (∑x)/x

When we cross multiply, this can also result in

Average*x = ∑x

The question has given us the average for both students, hence we can derive their average as described above. If Kurt jumps k number of times, then his average jump will be;

4.6 = (∑k)/k

And remembering that Average*x is the same value as ∑x, we substitute for the value given in the question, which is k. Hence,

4.6*k = ∑k

Note that the total score for each boy can now be determined as the average calculated times the total number of jumps, that is, working backwards. Hence, Kurt's total score is 4.6k.

(a) If we represent Kurt's score as x, then we can express his score as

x = 4.6k ------(1)

(b) If we represent Jared's score as y, then we can express his score as

y = 4.4j ------(2)

(c) The team score is the sum of the scores of both boys. Hence, if the boys scores have been written in terms of x and y then the team score shall be represented by z. Therefore we now have;

z = x + y

z = 4.6k + 4.4j

(d) If Kurt jumps 5 times then his total score will be

x = 4.6k

x = 4.6(5)

x = 23 m

If Jared jumps 4 times then his total score will be

y = 4.4j

y = 4.4(4)

y = 17.6 m

The team score therefore is determined as

z = x + y

z = 23 + 17.6

z = 40.6

The team score is a total of 40.6 m

Answer:

16

Step-by-step explanation:

square root of 16 is 4, and 4^2 = 16

Answer:

16

Step-by-step explanation:

The square cancels out the square root.

Answer:

The answer is D.(y-1)^2/64 - (x-3)^2/64=1

Step-by-step explanation:

I just took that quiz on edge, sorry if im late

Answer:

326.60 in²

Step-by-step explanation:

[tex]2 \times 3.14 \times 4(4 + 9) \\ = 2 \times 3.14 \times 4(13) \\ = 2 \times 3.14 \times 52 \\ = 326.56 \: {in}^{2} \\ = 326.60 \: {in}^{2} [/tex]

Answer:x= 65 acute triangle

Step-by-step explanation:

A triangle is a three-edged polygon with three vertices. The correct option is A.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

Since the triangle is a scalene triangle, all the sides of the given polynomial can not be equal. Therefore, it can not be a rhombus or a square.

Also, it is given that the triangle is an obtuse triangle therefore, there will be no angle with a 90° measurement. Thus, it can not be a rectangle.

Hence, the correct option is A.

Learn more about Triangle:

https://brainly.com/question/2773823

#SPJ2

Answer: Albert's gross pay for this pay period is $384.75

Step-by-step explanation:

Given : Albert's hourly pay is $8.10

His hourly pay is $12.15 when he work more than 40 hours

Last week working hours = 45 hours

Therefore

For first 40 hours he got $8.10 hourly and for more 5 hours he got  $12.15 hourly

So

Pay of first 40 hours = [tex]40 \times 8.10[/tex] = $324

Pay for next 5 hours= [tex]5 \times 12.15[/tex] = $ 60.75

Total Gross pay =  $324+$ 60.75 =$384.75

Hence , Albert's gross pay for this pay period is $384.75

Answer:

4 cups, 3 ounces

Answer:

The answer is 923.6 cm

Answer:

2.4

Step-by-step explanation:

Answer:

To convert to a decimal, divide numerator by denominator.

To convert the decimal to a percentage multiply by  

100

%

Explanation:

5

12

=

0.416666

...

...

.

0.41666

...

.

.

×

100

%

=

41.66666

%

...

.

.

Rounding off to nearest percent gives

42

%

Step-by-step explanation:

Answer:

X-2=J x 4 = B Two years ago

J + 6 = B now

Step-by-step explanation:

Answer:

It would take 1 hr, 7 min, 30 sec for the newer printer to work alone.

Step-by-step explanation:

x/1.5=45

45*1.5=67.5 minutes

67.5 minutes = 1 hr, 7 min, 30 sec

Final answer:

The time it would take for the new printer working alone to print a batch of newsletters is 67.5 minutes. This is determined by setting up an equation based on the combined work rates of the new and old printers.

Explanation:

The student is asking how long it would take for a new printer, which can print twice as fast as an older printer, to complete printing a batch of newsletters on its own if both printers can finish the task together in 45 minutes. This question involves setting up and solving a problem related to rates of work.

Let's denote the time it takes for the new printer to print the newsletters alone as T minutes. Since the new printer works twice as fast as the old printer, the old printer would take 2T minutes to do the job alone. When working together, they can finish the task in 45 minutes.

We can set up the equation based on their combined work rates like this:
1/T (new printer's rate) + 1/(2T) (old printer's rate) = 1/45 (combined rate).

Let's solve for T:

Calculate the combined rate of the printers: 1/T + 1/(2T) = 1/45

Combine the fractions on the left side: (2 + 1) / 2T = 1/45

Simplify the fraction to get a common denominator: 3 / 2T = 1/45

Cross-multiply to solve for T: 3 * 45 = 2T

Calculate T: 135 = 2T

Divide both sides by 2: T = 135 / 2

Finish solving: T = 67.5

Therefore, the new printer working alone would take 67.5 minutes to print the batch of newsletters.

Answer:

the y- intercept is moved 13 spaces down. this also changes your x-intercept.

Step-by-step explanation:

Answer:

it is moved 13 spaces lower

Answer:

D

Step-by-step explanation: