Marge simplified the expression as show. -8b+15b+14=21b. What mistake did marge make, what is the correct simplified version of the expression

Answer:

a. Without any additional information provided, it is impossible to determine the probability of Manchester United winning the match. The outcome of a football match can be influenced by many factors such as player performance, tactics, and luck.

b. There are 22 players + 3 officials = 25 people on the pitch. The probability that a person selected at random from the pitch is an official is 3/25.

c. i. Since there are 2 goalkeepers on the pitch, the probability that a player selected at random is a goalkeeper is 2/22 = 1/11

ii. Since there are 3 attackers on the pitch, the probability that a player selected at random is an attacker is 3/22 = 1/7

iii. Since there are 8 defenders on the pitch, the probability that a player selected at random is a defender is 8/22 = 4/11

Answer:

I'm pretty sure it's 3. I say that because I get 3 different answers.

x = -1 / 8

x = -0.125

x = -2^3

Those are the answers I got to solve the equation. There also is an answer if I were to rewrite the equation which is... 8x = -1

I hope this helps in any way <3

Step-by-step explanation:

Side length of Rhombus ABCD is  8+2√2 unit

EFGH is a rectangle :

We know that ,

E, F , G , H are midpoints of AB, BC, CD , DA respectively

Since ABCD is a rhombus

AB = BC = CD = DA

AB ll CD  and BC ll DA

since,  E, F , G , H are midpoints of AB, BC, CD , DA respectively

from the figure below we can say that ,

1) AB ll CD ll FH and AB= CD = FH

2) BC ll DA ll GE and BC = DA = GE

Using mid point theorem we can say that ,

GH = EF = 1/2 AC and FG= EH = 1/2 BD

Since for the figure EFGH opposite sides are equal and and parallel , and the diagonals are equal in length we can say that EFGH is a rectangle.

Perimeter of a rectangle = 2(a+b) = 2( GH + EH ) = 2 (EF + GF) = 2 ( 1/2 AC + 1/2 BD )

= 2 x 1/2 ( AC + BD ) = 16

⇒ AC + BD = 16  (1)

now area of a rectangle is given by

A = ab = GH x EH = EF x GF = 1/2 AC x 1/2 BD = 1/4 (AC x BD) = 14

⇒AC x BD = 14 x 4 = 56

from equation (1)

AC ( 16 - AC) = 56

= 16 AC - AC ^2 = 56

⇒ AC^2 - 16 AC + 56 = 0

AC = 8 +/- 2√2

BD = ( 16 - AC) = 8 +/- 2 √2  = side length of rhombus ABCD

Side length of Rhombus ABCD is 8+2√2 unit EFGH is - 1

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The probability that the melon will have a diameter greater than 137 mm is 21.19%.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes. The likelihood of an event occurring might range from 0 to 1.

Given A grocery store purchases melons from two distributors, J & K,

for distributor J,

mean of melons = μ = 133 mm

standard deviation  = σ = 5 mm

to find the probability  that the melon will have a diameter greater than 137 mm,

x = 137 mm

P(x > 137)

using z score formula

z = (x - μ)/σ

z = (137 - 133)/5

z = 0.8

P-value from Z-Table:

P(x < 137) = 0.78814

P(x > 137) = 1 - P(x < 137) = 0.21186

probability in percent = P(x > 137) = 0.21186*100 = 21.186%

P(x > 137) = 21.19%

Hence probability for melon will have a diameter greater than 137 mm is 21.19%.

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The complete question is,

A grocery store purchases melons from two distributors, J & K. Distributor J provides melons from organic farms. The distribution of the diameters of the melons from distributor J is approximately normal with mean with 133 millimeters and standard deviation 5 mm. For a melon selected at random from distributor J, what is the probability that the melon will have a diameter greater than 137mm?

Answer:

the answer is alphabet c

The best description of the shape of the sampling distribution is Approximately normal. The correct option is C.

The sampling distribution of the sample proportion of those who will be cured with the skin cream is approximately normal. A sampling distribution is the distribution of a statistic calculated from a random sample of data. In this case, the statistic is the sample proportion of those who will be cured with the skin cream. The Central Limit Theorem states that the sampling distribution of a statistic will be approximately normal if the sample size is large enough, regardless of the shape of the underlying distribution.

Since the sample size of 100 people is large enough, the sampling distribution of the sample proportion of those who will be cured with the skin cream is approximately normal.

Hence the correct option is C.

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Answer:

x = 2.5

Step-by-step explanation:

I am assuming that this is the entire equation and that it equates to 0 otherwise the answer will just be [tex]4x + 10[/tex]

[tex]x + 3x +10 = 0 \\4x + 10 = 0\\4x = 10\\x = \frac{10}{4} \\x = 2.5[/tex]

The slope of a secant line or the average rate of change over a relatively brief period of time can be used to approximate the derivative. The closer the interval is to the actual instantaneous rate of change, slope of the tangent line, or slope of the curve, the more accurate the result is.

Therefore,

[tex]& \int_0^6\left|t^2-8 t+12\right| d t \quad \quad \text { Distance traveled over }[a, b] \\[/tex]

[tex]\int_0^2 t^2-8 t+12 d t+-\int_2^6 t^2-8 t+12 d t & \text { distance }=\int_a^b\left|x^{\prime}(t)\right| d t \\[/tex]

[tex]t^2-8 t+12=0[/tex]

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Answer:

The new real state agent earns:

$10,950

Step-by-step explanation:

5% = 5/100 = 0.05

219000 * 0.05 = 10950

The McCumber Cube, which bears the name of its inventor, John McCumber, demonstrates the interdependence of the many elements of information security.

What is the McCumber Cube used for?

The McCumber Cube, which bears the name of its inventor, John McCumber, demonstrates how the many elements of information security are interconnected. You may view availability, integrity, and confidentiality on one side. All three of these include crypto in a significant way.

Information Characteristics, Information States, and Security Countermeasures are the three McCumber cube dimensions. The three CIA triangle pillars of confidentiality, integrity, and availability make up information characteristics.

The McCumber Cube, which John McCumber developed in 1991, is a reference framework for developing and assessing information security (also known as information assurance) initiatives. This security model is presented as a grid that resembles the Rubik's Cube in three dimensions.

The McCumber Cube shows three proportions. If theorized, the three dimensions of each axis become a 3 × 3 × 3 cube with 27 cells representing areas that must be addressed to secure today’s information systems. To ensure system security, each of the 27 areas must be properly addressed during the security process (McCumber, 1991).

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Answer:

-4.44

Answer: 4.4

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

let the number be x

x= (14+6)²

x= 20²

x=400

The small radius =5 cm; and the Long radius =5+4=9 cm.

Area (a + b) = 106 * pi cm^2 (given)

radius of a = x : radius of b = (x + 4)

Area a =[tex]pi * r^2 = pi * x^2\\[/tex]

Area b = [tex]pi * r^2 = pi * (x + 4)^2[/tex]

Area (a + b) = [tex]pi * x^2 + pi * (x + 4)^2[/tex] = 106 * pi cm^2

Area (a + b) =[tex]pi * x^2 + pi * (x^2 + 8x + 16)[/tex] = 106 * pi cm^2

Area (a + b) = pi * ([tex]2x^2[/tex]+ 8x + 16) = 106 * pi cm^2

Area (a + b) = [tex]2x^2 + 8x - 90 = 0[/tex]

2x^2 + 8x - 90 = x^2 + 4x - 45 = 0

x^2 + 4x - 45 = (x + 9)(x -5) = 0

x = 5 or x = -9

Therefore: radius a = 5 cm and radius b = 9 cm

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The question is incomplete

The sum of the areas of the two circles is 106pi cm^2 and the radius of the larger circle is 4cm longer than the radius Of the smaller circle. How could I find the length of the radii?

The temperature at 7 A.M. is,

−2 °F.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

Jorge wrote the inequality −14 °F < −2 °F to compare the temperatures at 7 A.M. and 7 P.M.

It was colder at 7 P.M. than at 7 A.M.

That means,

−14 °F is the temperature at 7 P.M.

The temperature at 7 A.M. is,

−2 °F.

Therefore, the temperature at 7 A.M. is −2 °F.

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132 is the total of all two-digit numbers and their reversal digits. The solution is (C) 9. Nine two-digit numbers, including 21 + 12 = 33, 32 + 23 = 55, 43 + 34 = 77, 54 + 45 = 99, 65 + 56 = 121, 76 + 67 = 143, 87 + 78 = 165, 98 + 89 = 187, and 109 + 901 = 132, meet this characteristic.

132 is the total of all two-digit numbers and their reversal digits. We must look at all potential two-digit numbers and add the number to its reversed digits in order to count the number of two-digit numbers that satisfy this property. The range of the two-digit numbers is 10 to 99. Starting with the number 11, which does not satisfy the stated criteria because 10 + 01 = 11 is not equal to 132. Then, we will look at 11 + 11, which is not equal to 132, and find that it is 22. This method will be repeated until a two-digit number is found that meets the specified attribute. As an illustration, 21 + 12 Equals 33, which is not the same as 132. This technique will be repeated until a two-digit number, such as 65 + 56 = 121, is found that satisfies the property. This operation will be repeated until nine two-digit values, such as 109 + 901 = 132, satisfy the property. As a result, the response is (C) 9.

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The sample space for this experiment is given as follows:

{RR, RB, RY, RG, BG, BB, BY, BG, YR, YB, YY, GG}.

A sample space is a set that contains all possible outcomes in the context of an experiment.

Then the sample space for this problem is composed by two letters, and the meaning of each letter is given as follows:

Hence, as an example, the outcome RB means that the color of the 3-color spinner was red and the color of the 4-color spinner was blue.

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It implies that the two events are mutually exclusive, meaning that they cannot occur simultaneously. This means that if event A occurs, event B cannot occur, and vice versa.

It implies that the two events are mutually exclusive, meaning that they cannot occur simultaneously. This means that if event A occurs, event B cannot occur, and vice versa.

1. Two possible events, A and B, are given when a random number generator is used once.

2. It is stated that the two events are mutually exclusive.

3. This implies that the two events cannot occur simultaneously.

4. If event A occurs, event B cannot occur and if event B occurs, event A cannot occur.

It implies that the two events are mutually exclusive, meaning that they cannot occur simultaneously. This means that if event A occurs, event B cannot occur, and vice versa.

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Check the picture below, that's just a transformations template

so since we know that f(x) = √x, that means when x = 0, y = 0, so it touches the origin, so f(x) is the graph down below.

now, f(x) has moved to the left by 5 units and up by 4 units, based on the template that means C = 5 and D = 4 whilst B = 1

[tex]g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{5}} ~~ +\stackrel{D}{4}\implies g(x)=\sqrt{x+5} ~~ +4[/tex]

When we select a random sample of 3 teachers and calculated the sample median from ages of 5 teachers in maths department, we get three samples of sample median 34, four samples of sample median 37 and three samples of sample median 42.

a. To list all 10 possible samples of size 3, we can use the combination formula C(5,3) = 5! / (3! * 2!) = 10.

The possible samples are:

Sample 1: (23, 34, 37) - Sample Median: 34

Sample 2: (23, 34, 42) - Sample Median: 34

Sample 3: (23, 34, 58) - Sample Median: 34

Sample 4: (23, 37, 42) - Sample Median: 37

Sample 5: (23, 37, 58) - Sample Median: 37

Sample 6: (23, 42, 58) - Sample Median: 42

Sample 7: (34, 37, 42) - Sample Median: 37

Sample 8: (34, 37, 58) - Sample Median: 37

Sample 9: (34, 42, 58) - Sample Median: 42

Sample 10: (37, 42, 58) - Sample Median: 42

b. To display the sampling distribution of the sample median, we can create a frequency table that shows how many times each sample median appears in the list of possible samples.

Sample Median Frequency

34                         3

37                         4

42                         3

This table shows that the sample median of 34 appears in 3 out of the 10 possible samples, the sample median of 37 appears in 4 out of the 10 possible samples, and the sample median of 42 appears in 3 out of the 10 possible samples.

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Answer: 35

Step-by-step explanation: 20 +15= 35

The difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.

A low standard deviation shows that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation suggests that the values are spread out over a broader range.

The standard deviation is a measure of variance or dispersion in statistics.

So, the sampling distribution's standard deviation is calculated as follows:

[tex]\begin{aligned}& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=\sqrt{\frac{0.37 \times(1-0.37)}{28}+\frac{0.89 \times(1-0.89)}{100}} \\& \sigma_{\mathrm{F}}-\sigma_{\mathrm{s}}=0.096\end{aligned}[/tex]

The actual proportional difference between those who believe five minutes is not enough time for pupils to switch courses and those who believe this is generally 0.096.

Therefore, the difference (faculty-student) in the sample proportions of those who think that students should have five minutes to switch classes usually varies by roughly 0.096 from the actual difference in proportions.

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Correct question:

n a large high school, 37% of the teachers believe that five minutes is not enough time for students to change classes. However, 89% of the students believe that five minutes is not enough time for students to change classes. Let p hat Subscript Upper F and p hat Subscript Upper S be the sample proportions of teachers and students, respectively, who believe that five minutes is not enough time for students to change classes. Suppose 28 teachers and 100 students are selected at random and asked their opinion on the amount of time students have to change class. Which of the following is the correct shape and justification of the sampling distribution of p hat Subscript Upper F Baseline minus p hat Subscript s ?

A combination of loops and random numbers, a unique background and two unique shapes can be created.

The Applab Turtle project uses a combination of loops and random numbers to create a background and two unique shapes. The program starts by setting the background color of the canvas to a random number from 0 to 255. A for loop is then used to create a series of random circles. The loop is set to run 10 times, and each iteration uses the random number function to set the size of the circle and its position, resulting in a unique pattern of circles on the canvas. Following this, two for loops are used to create two unique shapes. The for loops are set to run a set number of times, and each iteration uses the random number function to set the size and position of the shape. By using a combination of loops and random numbers, a unique background and two unique shapes can be created.

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The volume equation of a rectangular prism is:

Where V - volume, l, w, h are dimensions, B - area of base (same as lw)

By substituting values we get:

Answer: 0.25

Step-by-step explanation:

1/4 = 0.25

Answer:

2 days

Step-by-step explanation:

He was paid 3,250 for 5 days that means 1 day is 3250/5 = 650

So, then 7,800/650 = 12 days(number of days he came to work) but two weeks is 14 days so the number of days he was absent was 14-12= 2

47

We know the angles in a triangle add up to 180 degrees. Adding the two angles we know, ( 47 and 86) we get 133. Simply subtract 133 from 180 to get 47 degrees.

Answer:

[tex] \sf \: \frac{5 - 3 \sqrt{2} }{3} [/tex]

Step-by-step explanation:

Given expression,

→ (5/3) - √2

Let's simplify the expression,

→ (5/3) - √2

→ (5/3) - ((√2 × 3)/(1 × 3))

→ (5/3) - (3√2/3)

→ (5 - 3√2)/3

Hence, answer is (5 - 3√2)/3.

Answer:

[tex]\dfrac{15+5\sqrt{2}}{7}[/tex]

Step-by-step explanation:

Given rational expression:

[tex]\dfrac{5}{3-\sqrt{2}}[/tex]

To write the given rational expression in its simplest form we need to rationalise the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.

The conjugate of an expression is where we change the sign in the middle of the two terms.  Therefore, the conjugate of the denominator of the given expression is:

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{5}{3-\sqrt{2}} \cdot \dfrac{3+\sqrt{2}}{3+\sqrt{2}}[/tex]

Simplify:

[tex]\implies \dfrac{5(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}[/tex]

[tex]\implies \dfrac{15+5\sqrt{2}}{9+3\sqrt{2}-3\sqrt{2}-2}[/tex]

[tex]\implies \dfrac{15+5\sqrt{2}}{9-2}[/tex]

[tex]\implies \dfrac{15+5\sqrt{2}}{7}[/tex]

Answer:

[tex]2x = 5 \\ 2x + 0y - 5 = 0 \\ a = 2 \\ b = 0 \\ c = - 5[/tex]

The solid has a triangular face in the xy-plane.

The solid has a rectangular face in the xz-plane.

The solid has a trapezoidal face in the yz-plane.

The solid has a triangular face in the plane z = 1 - x.

The solid has a rectangular face in the plane y = 9 - 9z.

As x increases, the top of the region decreases.

As y increases, the top of the region remains constant.

The solid whose volume is given by the iterated integral, integral 0 to 1 integral 0 to (1-x) integral 0 to (9 - 9z) dy dz dx. This is a three-dimensional solid, that has been defined by three nested integrals. The outer integral is with respect to x, the second integral is with respect to y and the inner integral is with respect to z.

In the xz-plane, the solid has a rectangular face: the integral bounds for x are 0 to 1 and for z, it is 0 to (9 - 9z)

In the yz-plane, the solid has a trapezoidal face: the integral bounds for y are 0 to (1-x) and for z, it is 0 to (9 - 9z)

In the plane z = 1 - x, the solid has a triangular face: the integral bounds for x are 0 to 1 and z = 1 - x

In the plane y = 9 - 9z, the solid has a rectangular face: the integral bounds for y are 0 to (1-x) and y = 9 - 9z

As x increases, the top of the region decreases: the limit for y decreases from 9 to 0 as x increases from 0 to 1

As y increases, the top of the region remains constant: y = 9 - 9z is a constant value, as y increases, the integral bounds for z decrease from 9 to 0

This solid is a rectangular pyramid with a trapezoidal base. The rectangular face is located in the xz-plane, the trapezoidal face is located in the yz-plane, the triangular face is located in the plane z = 1

--The question is incomplete, answering to the question below

"The solid whose volume is given by the iterated integral,

∫ [0 to 1] ∫ [0 to (1-x)] ∫ [0 to (9 - 9z)] (dy dz dx)

The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the xz-plane.

The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the yz-plane.

The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane z = 1 - x.

The solid has ( a circular face, a trapezoidal face, a triangular face, or a rectangular face) in the plane y = 9 - 9z.

As x increases, the top of the region (decreases, increases, or remains constant).

As y increases, the top of the region (decreases, increases, or remains constant)."

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