The diagram shows AJKL. Which term describes point M?

Answer:

185 teenagers

Step-by-step explanation:

0.05 x 3700 = 185

1. The math fact completion rate for each student is:

Kiara: m = 5t, where t represents the time in seconds, and m represents the number of math facts completed. Therefore, Kiara's math fact completion rate is 5 math facts per second.

Giovanni: Giovanni's math fact completion rate is 4 math facts per second.

Ebony: Ebony's math fact completion rate is 12 math facts per second.

2. Ebony would win the argument, as she has the highest math fact completion rate.

Answer:

6n+2.5

Step-by-step explanation:

Right of the bat you would combine like terms

2n + 1.75n + 2.25n +2.5

= (2n+1.75n+2.25n) + (2.5)

Once you add up the numbers with the variable next to it your final answer should be ---> 6n+2.5

*The reason why we can't add these is because the 6 has an (n) next to it and 2.5 is a decimal number (in other words they are NOT like terms)

Hope this helps!

If the point (-3, 8) lies on the graph of a power function with an even exponent,  the following points must also lie its graph is (8, -3): Option A

You should understand that a graph is the representation of a function using the graph papers.

It is given that (-3,8) is on the graph of F(x).

x-coordinate = 8, y-coordinate = -2

Interchange the coordinates to find the point which lies on the inverse function F⁻¹(x).

x-coordinate = 8, y-coordinate = -3

Therefore It means (8,-3) must be on the graph of the inverse function F⁻¹(x).

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The corss-product of the two ratios is 159.03

You should know that two ratios are proportional if they are equal. Using cross-product to determine proportionality of two ratios entails multiplying the numerator of the firs with the denominator of the second ratio vice versa

The two ratios are

9.3 : 5.7 and  27.9 : 17.1

To know if they are proportional we express them as follows

9.3/5.7 = 27.9/17.1

= 9.3*17.1 = 27.9*5.3

⇒159.03 = 159.03

Therefore the two ratios are proportional

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Answer:

-4z

Step-by-step explanation:

-3z - 1z  Combine like terms

-4z

Max's net salary, given the federal income tax, the Social Security tax, and the Medicare tax, as well as healthcare insurance, is $ 2, 397. 02

Max's net salary would be the amount earned per month, less the various deductions such as federal income tax, Social Security tax, and Medicare tax.

The various taxes would be :
= Gross salary x ( Federal income tax + Social Security + Medicare tax )

= 3, 250 x ( 15 % + 1. 53% + 6. 7 %)

= $ 754. 98

The net salary is:

= Gross salary - taxes - health insurance premiums

= 3, 250 - 754. 98 - 98

= $ 2, 397. 02

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Rest of the question:

What is Max's pay after the taxes and deductions?

Answer: [tex]\frac{Amount of red cards}{Total cards} *\frac{Amount of black cards}{Total cards}[/tex]

Step-by-step explanation:

You didn't give how many cards there were, but just plug the amounts of cards that you have to get your probability.

Answer:  3/52 probability.

Step-by-step explanation:

You have 6 out of 52 cards that will satisfy the first draw of a red face card (J, Q, K of hearts and diamonds).

In the second draw, you have 26 out of 52 cards (i.e, 1/2) that will be black.

Now, multiply the two answers together, and you have (6/52) times (1/2) = probability of 3 out of 52, or 3/52.

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Therefore , the solution to the given problem of equation comes out to be there were 264 cans were initially stocked.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A statistical statement that shows the equality of two mathematical terms is known as an equation in algebra. For instance, the elements 6x + 6 and 12 are separated by an equal sign with in equations 6x + 6 = 12. The relationship between the two phrases on either side of either a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 4x – 4 = 0.

Here,

Given :

where c is total numbers of cans

=> c/2 + 68 = 200

=>  c + 136 = 400

=> c = 264

Therefore , the solution to the given problem of equation comes out to be there were 264 cans were initially stocked.

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Answer:

25%

Step-by-step explanation:

24-25%=18

24 - 100%

6 - 25%

It depends on the specific system of linear equations. A system of three equations with three variables can have exactly one solution, infinitely many solutions, or no solution.

For example, if the system is consistent and the rank of the coefficient matrix is equal to the rank of the augmented matrix, then the system has exactly one solution.

On the other hand, if the rank of the coefficient matrix is less than the rank of the augmented matrix, then the system has no solution.

Finally, if the rank of the coefficient matrix is equal to the rank of the augmented matrix and the rank of the coefficient matrix is less than the number of variables, then the system has infinitely many solutions.

So Maureen is not correct, a system of three equations with three variables can have one, none or infinitely many solutions.

Answer:Yes

Step-by-step explanation:

The shaded part of the model will represent the expression 0.3×7= 2.1 and the total weight of the baseball is 2.1 pounds.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Ken has number of baseballs = 7 and each baseball have a weight is = 0.3 pounds

By unitary method;

If 1 ball = 0.3 pounds

Then, 7 baseball = 7×0.3 pounds

So, the weight of 7 baseballs = 2.1 pounds

We want to use the box to represent this data given in the following question .  

Since, the weight of the baseball is in decimal points

Let 0.1 pounds be 1 Square box.

The weight of one base ball (0.3 pounds), ken should shade 3 Square box.

Since 1 pounds is 1 Square box.

The weight of all the seven base ball (2.1 pounds), he should shade this amount seven times.

Therefore, the shaded part of the model will represent the expression 0.3×7= 2.1 and the total weight of the baseball is 2.1 pounds.

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A) The function that represents the average of the class is;

y = 65(1.011)^(x)

B) The average of the class after one week will be expressed as;

y = 70.17

The general formula for the nth term of a exponential function is;

y = ab^(x)

where;

a is initial amount

b is growth factor

x is the amount of periods being considered

Now, we are told that the initial score for the exam was 65. Thus;

a = 65

The growth factor is 1.1% and this is; b = 1.011

Thus, the function that represents the average of the class is;

y = 65(1.011)^(x)

The average of the class after one week will be expressed as;

y = 65(1.011)^(7)

y = 70.17

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The probability that the next person will purchase no costume as a percent to the nearest whole number is 36.4%

We should know that probability deals with the chance of occurrence of an event (E)

The given parameters that will help us to get the percentage is

Total number of visitors is 168+252+47

Total number = 462

The probability is = 168/(168+252+47) * 100/1

This implies 168/462 * 100/1

= 13.4 percent

In conclusion, 13% of the visitors will purchase no costume as a percent to the nearest whole number.  

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The sum of the perimeters of the squares formed through geometric sequence is; 80 + 40√2.

We want to find the sum of the perimeters of the squares formed;

From the diagram attached, we see that;

In ∆PCQ;

<PCQ = 90°,

Then PQ² = PC² + QC²

Since, P and Q are mid - points of square ABCD, then it means that;

PC = BP = 5

QC = DQ = 5

Thus , PQ = √(25 + 25) =

PQ = √50 = 5√2

Since; E,F,G and H are mid-points of square PQRS, then it means that;

EP = PF = (5√2)/2

FQ = QG = (5√2)/2

Now , In ∆ FQG

∠FQG = 90°

Then ,FG²= FQ²+GQ²

FG² = 5

Similarly , The process the continued indefinitely .

Sum of the perimeters of the squares formed = perimeter of square ABCD+ Perimeter of square PQRS + Perimeter of square PQRS+....+∞

= (4 × 10) + (4 × 5√2) + (4 × 5) +......+∞

= 40 + 20√2 + 20 + ...... + ∞

In this Infinite geometric series, we see that;

First term; a = 40

Common ratio; r = (√2)/2

Sum of infinite GP is given by the formula;

Sₙ = a/(1 - r)

Thus;

Sₙ = 40/(1 - ((√2)/2)

This can be simplified by rationalizing the denominator to get 80 + 40√2.

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Answer:

D

Step-by-step explanation:

It is Dilation because image b is bigger than image a

Answer:

The first, the third and the fifth figure

Step-by-step explanation:

Volume = Length x width x height

First

3 x 2 x 4 = 24

Second

3 x 2 x 5 = 30

Third

2 x 2 x 4 = 16

Fourth

2 x 3 x 4 = 24

Fifth

2 x 2 x 6 = 24

Answer:

Read below

Step-by-step explanation:

The first prism has 24 unit cubes.

The second has 30

The third has 16

The fourth has 24

The fifth has 24

You have to find the area of the superior blocks and then multiplied for the number of cube units of height.

The first has 6 unit cube because (2 cubes long * 3 cubes widht)* (4 blocks of alture)

6*4 = 24.

The same way for other and then you have that the first, the fourth and fifth have 24 cube blocks each one.

Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

P(different color)=7/32

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Answer:

Rigid motion.

Step-by-step explanation:

please this was my opinion

Answer:

± 7x²

Step-by-step explanation:

using the property of radicals

• [tex]\sqrt{ab}[/tex] ⇔ [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex]

given

± [tex]\sqrt{49x^4}[/tex]

= ± ([tex]\sqrt{49}[/tex] × [tex]\sqrt{x^4}[/tex] )

= ± (7 × x² )

= ± 7x²

The statement that illustrates symmetric property is that If angle A=angle B, then angle B=angle A.That is option D.

Symmetric property is defined as the property that shows that when one number is equal to another number, the other number should also be equal to the former number.

An angle is defined as that structure that is formed when two lines meet at a plane.

For example: Using the number 4 and 6, if 4 = 6 then 6 should also be = 4.

Therefore, the statement that illustrates symmetric property is that If angle A=angle B, then angle B=angle.

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The set {1, 3, 5, 9, 11, 13} with multiplication modulo 14 forms a group. Additionally, the set 〈nZ, +〉, where n is a positive integer, is also a group. Moreover, 〈nZ, +〉 is isomorphic (or equivalent) to the group 〈Z, +〉.

In the first case, to determine whether the set {1, 3, 5, 9, 11, 13} forms a group under multiplication modulo 14, we construct a table by multiplying each element with every other element modulo 14. If every product is in the set and satisfies the group properties (closure, associativity, identity element, and inverses), then it is a group. The table would look as follows:

| * | 1 | 3 | 5 | 9 | 11 | 13 |

|---|---|---|---|---|----|----|

| 1 | 1 | 3 | 5 | 9 | 11 | 13 |

| 3 | 3 | 9 | 1 | 13 | 5  | 11 |

| 5 | 5 | 1 | 11 | 3 | 13 | 9  |

| 9 | 9 | 13 | 3 | 5 | 1 | 11 |

| 11 | 11 | 5 | 13 | 1 | 9 | 3 |

| 13 | 13 | 11 | 9 | 11 | 3 | 1 |

As every element appears exactly once in each row and column, and the group properties hold, this set forms a group under multiplication modulo 14.

In the second case, we consider the set 〈nZ, +〉, where n is a positive integer. This set represents the multiples of n, i.e., n times any integer. To show that it is a group, we need to verify the group properties. Closure is satisfied since adding any two multiples of n gives another multiple of n. Associativity holds for addition. The identity element is 0 since adding 0 to any multiple of n yields the same multiple. Inverses exist for every element since adding the additive inverse of any multiple of n results in 0. Therefore, 〈nZ, +〉 is a group.

Furthermore, we can establish an isomorphism between 〈nZ, +〉 and 〈Z, +〉. An isomorphism is a mapping that preserves the group structure. In this case, we can define a function f: 〈Z, +〉 → 〈nZ, +〉 such that f(m) = nm. This function is a homomorphism, as f(m₁ + m₂) = nm₁ + nm₂ = n(m₁ + m₂), which satisfies the group operation. It is also bijective since every element in 〈nZ, +〉 can be mapped back to an element in 〈Z, +〉. Therefore, 〈nZ, +〉 is isomorphic to 〈Z, +〉, indicating their equivalence as groups.

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Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).

For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply

16/81.

1. Start with the expression

(2/3)^4

2. Distribute the exponent of 4 to the numerator and denominator, resulting in

(2^4)/(3^4)

3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)

= (2*2*2*2)/(3*3*3*3)

4. Simplify the expression to 16/81

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Answer:

x = [tex]\frac{9}{2a}[/tex]

Step-by-step explanation:

ax + [tex]\frac{3}{2}[/tex] = 6 ( multiply through by 2 to clear the fraction )

2ax + 3 = 12 ( subtract 3 from both sides )

2ax = 9 ( isolate x by dividing both sides by 2a )

x = [tex]\frac{9}{2a}[/tex]

f(0)=-0.8x-4 is the answer :)

The complete statement is: The probability of A given B is not the same as the probability of A, so A and B are not independent events.

From the question, we have the following parameters that can be used in our computation:

P(A) = 12%

P(B) = 3%

P(A|B)= 20%

P(B|A)= 25%

The expressions P(A|B) and P(B|A) are the conditional probabilities

This means that the probability of A given B is 20%

For independent events, we have

P(A) = P(A|B)

From the question, we have

P(A) = 12%

P(A|B)= 20%

They are not equal

Hence, the events are not independent events

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1) The conditional probabilities of the two events are:

P (A|B) = 0.2; and P(B|A) = 0.25.

2) Note that A and B are independent events.

3) The probability of A given B is not the same as the probability of A, so A and B are note independent events.

The possibility of an event or consequence occurring dependent on the occurrence of a preceding event or outcome is described as conditional probability. Conditional probability is derived by multiplying the preceding event's probability by the updated likelihood of the next, or conditional, occurrence.

The expression for conditional probability is given as:

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

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

Note that the events A and B are independent if:

P (A|B) = P(A) or P(B|A) = P(B)

Since

P (A) = 12% = 0.12

P (B) = 15% = 0.15

P (A and B) = 3% = 0.03

i) P (A|B) = P(A and B)/(P(B)

P (A|B)  = 0.03/0.15

P (A|B)  = 0.2

ii) P (B|A) = P(A and B)/(P(A)

P (B|A) = 0.03/0.12

P (B|A)  = 0.25

From the above, we can see that  P (A|B) ≠ P (B|A). Hence, it is correct to state that; "the probability of A given B is not the same as the probability of A, so A and B are not independent.  

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Answer:

Step-by-step explanation:

You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).

The slope formula is used to find the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-2))/(8 -2) = 3/6 = 1/2

The slope-intercept equation can be rearranged to give the y-intercept:

  b = y - mx

  b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)

The slope-intercept form equation is ...

  y = mx +b . . . . . . where m is the slope, and b is the y-intercept

Using the found values, the equation is ...

  y = 1/2x -3

The value of t₀.₀₁ is 3.355. The value 3.355 is rounded to three decimal places.

What is the critical value?

A crucial value is the test statistic's value that establishes a confidence interval's upper and lower boundaries or the level of statistical significance for a given test.

Any member of the family of continuous probability distributions known as the Student's t-distribution in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.

Given the value of v is 8.

Need to find the value of t₀.₀₁ when v = 8.

The value of t₀.₀₁ according to t distribution table is 3.3550.

= 3.355 (nearest to three decimal places)

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Answer:

length = 20 meters

width = 66 meters

Step-by-step explanation:

P = perimeter. l = length. w=width

P = 2l + 2w  ==> perimeter formula

Consecutive integers have a difference of 2 ( 4 - 2 = 2 )

Hence, the width(w) in terms of length(l) is:

w = 3 * (l + 2)

w = 3l + 3*2  ==> distribute 3 to l and 2

w = 3l + 6  ==> simplify

P = 2l + 2(3l + 6) ==> substitute w=3l + 6 into the equation P = 2l + 2w

P = 2l + 2*3l + 2*6  ==> distribute 2 to 3l and 6

P = 2l + 6l + 12

P = 8l + 12

172 = 8l + 12  ==> substitute 172 for P since the perimeter is 172 meters

160 = 8l  ==> subtract 12 on both sides

l = 20 ==> divide both sides by 8

length = 20 meters

Now solve for the width:

w = 3(20) + 6  ==> substitute l=20 in w = 3l + 6

w = 60 + 6  ==> simplify

w = 66

width = 66 meters