What is the interquartile range of this data set? {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45} enter the answer in the box.

Rewrite the angle as a sum or difference with its

reference angle: sin(180° + 20°)

Simplify the expression using the general

reduction formula: sin(20)

Calculate the approximate value: -0.34202

Answer: -0.34202

Answer:

51.90

Step-by-step explanation:

the answer is 51.90

hope this helped!!!

Answer:

-12/14 or simplified would be -6/7

Step-by-step explanation:

-6-6/-5-9= -12/-14

Answer:

80 cubic units

Step-by-step explanation:

Area for rectangular prism is l*w*h

2*8*5=80

Answer:

3x + 5 = 150

Step-by-step explanation:

3x + 5 represents 3 times as many cookies plus 5 and 150 represents the total amount of cookies.

In further detail, x represents how many cookies the other girl baked.

Answer:

f(g(x)) = x² - 6x + 8

Step-by-step explanation:

to evaluate f(g(x)) , substitute x = g(x) into f(x)

f(x² - 6x + 13)

= x² - 6x + 13 - 5 ← collect like terms

= x² - 6x + 8

Answer:

Step-by-step explanation:

From the diagram, just the way it is marked, the two triangles are congruent by either SAS or ASA (although this requires an extra step).

Rereading the question, you are only allowed to use the markings given. So the answer is SAS

The statement ¬(∃x(x^2 > x)) is False. The statement ∀x(x > 1 → x^2 > x) is True. The statement ∃x(x > 1 ∧ x^2 > x) is True. The statement ∀x∃y(x^2 < y) is False.

3. The statement ¬(∃x(x^2 > x)) is False. It asserts the negation of the existence of an x such that x^2 is greater than x. However, there are numbers that satisfy this condition, such as x = 2 (where 2^2 = 4 > 2). Therefore, the statement is false.

4. The statement ∀x(x > 1 → x^2 > x) is True. It asserts that for all x greater than 1, if x is true, then x^2 is greater than x. This statement is true because for any positive integer x greater than 1, x^2 will always be greater than x.

5. The statement ∃x(x > 1 ∧ x^2 > x) is True. It asserts the existence of an x such that x is greater than 1 and x^2 is greater than x. This statement is true because there are numbers that satisfy both conditions, such as x = 2 (where 2 > 1 and 2^2 = 4 > 2).

6. The statement ∀x∃y(x^2 < y) is False. It asserts that for all x, there exists a y such that x^2 is less than y. However, this statement is false because there are numbers for which x^2 is not less than any y. For example, if x = 1, then 1^2 = 1, and there is no y such that 1 is less than y. Therefore, the statement is false.

Learn more about positive integers here:

brainly.com/question/28165413

#SPJ11

Question 3 Given the domain of discourse Z+, Determine the truth value (True or False) of the following sta. ¬(∃x(x2>x))

Question 4 Given the domain of discourse Z+, Determine the truth value (True or False) of the following sta ∀x(x>1→x2>x)

Question 5 Given the domain of discourse Z+, Determine the truth value (True or False) of the following sta ∃x(x>1∧x2>x)

Question 6 Determine the truth value of the following statement if the domain for all variables consists of all ∀x∃y(x2<y)

The Probability density Function of Z is given by:
\(f_Z(z)\) = { 2z, 0 ≤ z ≤ 1   , 0  otherwise. }

To find the CDF of Z = |X - Y|, we need to consider two cases:
Case 1: z < 0

If z < 0, then P(Z < z) = 0 since Z is always non-negative.

Case 2: z ≥ 0
If z ≥ 0, then we can express the event {Z < z} in terms of X and Y as follows:
{Z < z} = {(X,Y) : |X - Y| < z}
This event corresponds to a square region in the unit square with vertices at (0,0), (1-z, z), (z,1-z), and (1,1).
The area of this square is \(1 - (1-z)^2 = 2z - z^2.\)
Since X and Y are independent and uniformly distributed in [0,1], the joint PDF of (X,Y) is fXY(x,y) = 1 for 0 ≤ x,y ≤ 1, and zero elsewhere.

Therefore, the probability of the event {Z < z} is given by the double integral:

P(Z < z) = ∫\(\int {Z < z} f_{XY}(x,y) dxdy\)

= ∫∫|x-y| < z 1 dxdy

\(= 2 \int z^0 y^z 1 dxdy\)

= 2∫\(z^0\)(z-y) dy

= z^2.

Thus, the CDF of Z is given by:

FZ(z) = P(Z ≤ z)

= 0, if z < 0

= z², if 0 ≤ z ≤ 1

= 1, if z > 1.

To find the PDF of Z, we can differentiate the CDF:

fZ(z) = d/dz FZ(z)

= 2z, if 0 ≤ z ≤ 1

= 0, otherwise.

Therefore, the PDF of Z is given by:

\(f_Z(z)\) = { 2z, 0 ≤ z ≤ 1

0, otherwise. }

learn more about probability

https://brainly.com/question/30034780

#SPJ11

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

~ an aesthetics lover

Answer:

232 cars entered between 8 and 9

Step-by-step explanation:

at 9 am there are 64 x 5 vehicles total = 320

320 - 64 - 24 = 232

The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.

Given the image below, we know the following:

Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle

angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,

angle FEB = angle HGD.

In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

Learn more about supplementary angles on:

https://brainly.com/question/8992900

#SPJ1

Answer:

Step-by-step explanation:

Where's the question?

But if the question is to represent the equation on the graph then

Just fix in any random value for x,say x=3...then insert into into your equation y=3/2x-1 y=3/2(3)-1 y will be 3.5 when x is 3 so you get a coordinate like(3,3.5) repeat that for about three more values then plot a line

HOPE THIS HELPS

When the number of trials is increased  both the expected value and the standard deviation of a binomial distribution will increase

Consider a binomial distribution.

As per the binomial distribution, if the number of trials is increased, the expected value of a binomial distribution also increases. It's because the mean and variance of a binomial distribution is m = np and σ^2 = npq where n is the number of trials, p is the probability of success, and q = 1 – p is the probability of failure.

The expected value of a binomial distribution is the product of the number of trials and the probability of success. Therefore, if the number of trials is increased, the expected value also increases.

The standard deviation is the square root of the variance, so as the number of trials increases, the standard deviation will also increase.

Therefore, both the expected value and the standard deviation of a binomial distribution will increase when the number of trials is increased.

Learn more about binomial distribution:

brainly.com/question/15246027

#SPJ11

Answer:

HM

Step-by-step explanation:

dddd

Answer:

8.75

Step-by-step explanation:

Answer: 8.75

Step-by-step explanation:

Answer:

Answer:

-0.09

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

Answer: 325 adult tickets

Step-by-step explanation:

721 = (a+71) + a

721 = 2a + 71

2a = 650

a = 325

Answer:

0.2

Step-by-step explanation:

To find the constant of proportionality you use the formula k (constant)=y/x

so 0.1/0.5=0.2 and 1.4/7= 0.2

k=y/x

comment if you need more help :)

Answer:

0.2 ( A )

Step-by-step explanation:

I took the quiz !

BRAINLIEST?? please owo

Answer:

-3

Step-by-step explanation:

Bring -2 to the other side and A to the other side

-2 Become 2 because of flipping

And A becomes -A because of flipping

2-2+3=-A

Flip the whole equation to avoid confusion

-A=2-2+3

-A=+3

Bring the minus sign to the other side,

A=-3

-3 -2 +3 = - 2

Which make the statement correct.

I hope this explanation helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!

Answer: A = -3

Step-by-step explanation:

A - 2 + 3 = -2

...............+2..............

..... A + 3 = 0

................-3..............

............ A = -3

This Question was not written properly

Complete Question

Raymond and Rose were working with exponents.

Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.

Answer:

Part A : Rose is correct

Part B : Raymond is correct

Step-by-step explanation:

Part A:

Raymond claims that 5⁵ * 5² =5³

Rose argues that 5⁵ * 5² = 5⁷.

Which one of them is correct?

Rose is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a × x^b = x^a+b

From the above question, following the above rule we have:

5⁵ * 5² = 5⁵+²

= 5⁷

Hence, Rose is correct.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.

Which one of them is correct?

Raymond is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a / x^b = x^a-b

From the above question, following the above rule we have:

7⁹/7⁵ = 7⁹-⁵

= 7⁴

Hence, Raymond is correct.

━━━━━━━☆☆━━━━━━━

▹ Answer

9 pieces

▹ Step-by-Step Explanation

6 ÷ 2/3 → 6 x 3/2

18/2 = 9

9 pieces

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer: 9 2/3 size pieces

Step-by-step explanation:

Simply divide 6 by 2/3 to get 9.

Answer:

\( - 30\)

Step-by-step explanation:

\( \sin {}^{ - 1} ( - \frac{1}{2} ) = \)

Using the identity,

\( \sin( - x) = - ( \sin(x) )\)

\( \sin( \frac{1}{2} ) = \frac{\pi}{6} \)

so

\( \sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6} \)

Convert to degrees.

\( - 30\)

Answer:

adjacent. x=55

Step-by-step explanation:

Answer:

Adjacent

x=55

Step-by-step explanation:

Vertical angles are made by the same lines but are opposite of each other. These angles are not opposite, and thus they are not vertical. Adjacent angles, on the other hand, share a common side and vertex. In other words, they touch. So, since these share both a common side and vertex, they are adjacent.

Additionally, the large-angle (that contains the smaller, adjacent angles) is a right angle, meaning that it has a measure of 90 degrees. So, if we know that part of the angle is 35 degrees, then the missing angle must be equal to 90-35. 90-35=55 degrees.

To find the slant asymptote of the function y = x^2 + 4x + 4, we need to perform polynomial long division. In this case, we will divide the function by y = x.


1. Divide the function y = x^2 + 4x + 4 by y = x using polynomial long division.
2. x goes into x^2 x times. Write x on top.
3. Multiply x by x, which is x^2. Write x^2 under x^2 in the dividend and subtract it.
4. Bring down 4x from the dividend.
5. x goes into 4x, 4 times. Write 4 next to x on top.
6. Multiply 4 by x, which is 4x. Write 4x under 4x in the dividend and subtract it.
7. Bring down the constant term 4 from the dividend.
8. Since the degree of the remaining dividend (constant term) is lower than the divisor's degree (x), we stop dividing.


After performing polynomial long division, we get the quotient y = x + 4, which is the equation of the slant asymptote for the given function.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

The event containing the outcomes belonging to a or b or both is the union of a and b.

Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)

The union of these two sets will give:

aUb=(x, y, z, o, p, q)

Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.

Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.

Learn more about union of a set here:

https://brainly.com/question/23337676

#SPJ4

Answer:

..

Step-by-step explanation:

Answer:

x = 6

∠2 = 75

Step-by-step explanation:

In the given triangle two sides are equal and so it is an isosceles triangle. So, the angles opposite to equal sides are equal

11x + 9 + 11x + 9 + 30 = 180   {Angle sum property of triangle}

      11x + 11x + 9 +9 +30 = 180

                     22x + 48   = 180

                            22x    = 180 - 48

                               22x = 132

                                   x = 132/22

                                  x = 6

∠2 = 11*6 + 9 = 66 +9 = 75