If lines BG↔ and CF↔ are parallel, then ∆JOL and ∆IOM are congruent triangles. Is this statement correct? Explain your answer.

Answer: 7/30 as a decimal is 0.23333333333333

Hope this helps!

The machine will take 7 minutes to fill one box. Hence, table A. represents the correct relationship between the number of minutes the machine fills boxes and the number of boxes it has filled.

Boxes filled by machine in 35 minutes = 5 boxes

So, the number of boxes the machine fills in each minute = Time taken to fill 5 boxes/ Number of boxes filled

= 35/5

= 7 minutes

Time taken by machine to fill one box = 7 minutes

Time taken to fill two boxes = 14 minutes

Time taken to fill three boxes = 21 minutes

Time taken to fill four boxes = 28 minutes

Hence, table A is the correct answer from the given options

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Answer:

x = 2

Step-by-step explanation:

Use distributive property:

3(2x+4) = 24

3*2x + 3*4 = 24

6x+12 = 24

6x = 12

x = 2

As there are 28 rows and in each row has 22 seats, then, the estimate of  the total income from the ticket sales equals to $4,989.60.

In a general sense, a total income means the gross income from all sources less certain deductions such as expenses, allowances and reliefs. But in the question context, it means the revenue, which is the total amount of income generated by the sale of goods and offering of services related to the primary operations of the business.

Given data

Cinema have 28 rows

Cinema have 22 seats per row

Each ticket cost 8.10

Total Income = $8,10 * 28 rows * 22 seats

Total Income = $4989.60

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The final price of the refrigerator after the additional 15% discount is $170

Given

The original sale price of the refrigerator  = was $250

Given a 20 % discount on the original price, the new sale price would be as follows

Sale price = original price - Discount

                 = [tex]250-(\frac{20}{100} )250[/tex]

Sale price = $200

After this an additional 15% discount is given on new sale price.

So again deducting the discount from the sale price we get,

Sale price = 200 - discount(15%)

                = [tex]200-(\frac{15}{100} )200[/tex]

Sale price = 170

Hence the final sale price after discount is $170

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Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

In the context of this problem, the parameters are given as follows:

n = 7, p = 0.64.

The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740[/tex]

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Answer:

y=2x+13

that is the slope of the intercept

Answer:

C should be the correct answer

Step-by-step explanation:

56 Tulips for $8

56÷8=7

7 Tulips for $1

prove me wrong

Answer:

C

Step-by-step explanation:

56 Tulips for $8

56÷8=7

7 Tulips for $1

Can someone tell me how I can reply to questions I didn't ask?

The most appropriate choice for function and graph of a function will be given by-

Option D is correct

What is function and graph of a function?

A function from A to B is a rule that assigns to each element of A a unique element of B.

Set of all points of the form (x, f(x)) is called graph of a function.

Here,

There is a hollow circle on y = 5 line and the function continues upwards

Also,

[tex]=\lim_{x \to 1} y(x)\\= \lim_{x \to 1} x^2 + 4\\= 1^2 + 4\\=5[/tex]

Now, there is a solid circle on y = -1 line and the function continues downward

So there is an equality on x = 1 downward

Now f(1) = [tex]1^3-2[/tex]

             = -1

So the appropriate graph will be

[tex]\left \{ {x^3 - 2, {x \leq 1} \atop x^2+1, {x > 1}} \right.[/tex]

D is correct

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Complete Question

Which of the following functions is graphed below?

The image has been attached

The given composition as a single translation is (x,y)→(x+1,y+2) .

In the question,

two translation are given , we have to write the composition of two translation in a single translation ,

we choose arbitrary points (x,y) in the tile , and find the horizontal and vertical shift in the coordinates of point after both translations .

let A(x,y) be an arbitrary point in the tile

So , by the first translation

"move 2 tiles right and 3 tiles up" ,

after first translation, the coordinates are  A'(x+2,y+3)

The second translation "you move 1 tile left and 1 tile down" ,  will map A'(x+2,y+3) to

A"(x+2-1 , y+3-1)

= A"(x+1 , y+2)

Therefore , the single translation rule for the composition is (x,y)→(x+1,y+2)    .

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Answer:

[tex]{ \sf{7h - (3h - 5) = 2(h - 7)}} \\ \\ { \sf{7h - 3h + 5 = 2h - 14}}[/tex]

[distributive property open brackets ]

[tex]{ \sf{4h + 5 = 2h - 14}}[/tex]

[simplification of either sides]

[tex]{ \sf{4h - 2h = - 14 - 5}}[/tex]

[operating similar terms]

[tex]{ \sf{2h = - 19}} \\ [/tex]

[simplification]

[tex]{ \sf{h = \frac{ - 19}{2} }}[/tex]

Applying the concept of the or operation, the solution to the given inequality is as follows:

r < -5/8 or r ≥ 3/8.

Considering two data-sets, the or operation between them is the set composed by all the elements that belong to at least one of the data-sets.

In the case of an inequality, the data set is represented by the intervals.

The first inequality is:

0.5r + 3 < 7/4.

0.5r < 7/4 - 3

r/2 < -5/4 (as -3 = -12/4)

r < -5/8.

The second inequality is:

-r + 3/4 ≤ 3/8

-r ≤ 3/8 - 3/4

-r ≤ -3/8 (as 3/4 = 6/8)

r ≥ 3/8 (multiply by -1, hence the signal also changes).

As the intervals do not intersect, the solution to the inequality is given as follows:

r < -5/8 or r ≥ 3/8.

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The unknown angles are as follows:

complementary angles are angles that sum up to 90 degrees.

in other words, When two angles add to 90°, we say they "Complement" each other.

Therefore,

9x + 2x + 7 = 90

11x = 90 - 7

11x = 83

x = 83 / 11

x = 7.54

Therefore,

∠1 = 9(7.54) = 67.9°

∠2 = 2(7.54) + 7 = 22.08°

Supplementary angles are angles that sum up to 180 degrees.

Therefore,

3x + 8  + 9x = 180

12x + 8 = 180

12x = 180 - 8

12x = 172

x = 172 / 12

x = 14.3

Hence,

∠1 = 9(14.3) = 129°

∠2 = 180 - 129 = 51°

Vertically opposite angles share the same vertex.  Vertically opposite angles are equal.

Therefore,

9x = 3x + 9

9x - 3x = 9

6x = 9

x = 9 / 6

x = 3 / 2

x = 1.5

Therefore,

∠1 = 9(1.5) = 13.5°

∠2 = 13.5°

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Part a

It is a function because each x-value matches with only one y-value.

Part b

No, because the x-values of 3 and -2 both correspond to a y-value of -3.

The following are the results for measuring the distance that a long jumper has jumped which is uniformly distributed between 0 and 5mm

a) Mean = 2.5

b) Standard deviation = 1.4434

c) P(X = 2.5) = 0

d) P(2 < X < 4) = (4 - 2)/(5 - 0) = 2/5 = 0.4

e) P(X > 1) =0.8

f) P(X > 4 | X > 2) = 0.33

g) 60th percentile =  3

h) Upper quartile =  3.75

Mean = (0 + 5)/2 = 2.5

Standard deviation =[tex]\sqrt{(5-0)^{2} }[/tex] / [tex]\sqrt{12}[/tex]  = 1.4434

P(X = 2.5) = 0

P(2 < X < 4) = (4 - 2)/(5 - 0) = 2/5 = 0.4

P(X > 1) = (5 - 1)/(5 - 0) = 4/5 = 0.8

P(X > 4 | X > 2) = P(X > 4 and X > 2)/P(X > 2) = (5 - 4)/(5 - 2) = 1/3 = 0.33

60th percentile = 0.60*(5 - 0) = 3

Upper quartile = 75th percentile = 0.75*(5 - 0) = 3.75

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It is True to state that Arcs AB, BC, CD, DE, EF, FA in the circumscribed hexagon are all equal. See the explanation below.

In geometry, a hexagon is a six-sided polygon. A regular hexagon is one in which the lengths of all the sides and the measurements of all the angles are identical. The sides of a regular hexagon are therefore equivalent.

Allow point P to be the hexagon's and circle's center.

The dimension of arc AB is the same as the measure of central angle APB, which are both 360/6 = 60 degrees. This also applies to the other arc measurements. The whole 360-degree circle is divided into six equal parts, each measuring 60 degrees.

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Full Question:

Although the question seems incomplete you may have been referring to this:


A circle P is circumscribed about a regular hexagon ABCDEF

Arcs AB, BC, CD, DE, EF, FA are all equal

Select one:

a. False

b. True

Answer:

picture pls

Step-by-step explanation:

I need clearer pic pls

The value of the expression is 74 - 12x

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

-3[10+4(x-2)] all subtracted from 20

When represented as an expression, we have the following mathematical representation

20 - (-3[10+4(x-2)])

Open the brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 - (-30+12(x-2)])

Open the brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 - (-30 + 12x - 24)

Open the last brackets in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 20 + 30 - 12x + 24

Evaluate the like terms in the above expression

So, we have

20 - (-3[10+4(x-2)]) = 74 - 12x

Hence, the equivalent expression of the expression "-3[10+4(x-2)] all subtracted from 20" is 74 - 12x

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From the options provided in the question, we may conclude that Option A is equivalent to 0.428571.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Step 1: Take the dividend's first digit from the left. Determine whether this digit is greater than or equal to the divisor.

Step 2: Next, divide it by the divisor and write the result as the quotient on top.

Step 3: Subtract the result from the digit and record the difference.

Step 4: Subtract the dividend's next digit (if present).

Step 5: Repeat the procedure.

We need to find the given option that is equal to 0.428571.

For option A,

42/99 =0.428571 = 0.42

Therefore, we can say that Option A is equal to 0.428571 from the options given in the question.

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[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y^{-5}}{x^{-3}}\implies \cfrac{y^{-5}}{1}\cdot \cfrac{1}{x^{-3}}\implies \cfrac{1}{y^5}\cdot \cfrac{x^3}{1}\implies {\Large \begin{array}{llll} \cfrac{x^3}{y^5} \end{array}}[/tex]

The number that should replace s to make the equation true is 28.

An equation in mathematics is an expression that has an equal to sign, =. An expression is a statement in mathematics that is made up of at least one variable and number.

s divided by 4 = 7

s ÷ 4 = 7

In order to determine the value of s, multiply both sides of the equation by 7. Multiplication is the process that is used in mathematics to determine the product of two or more numbers. The sign that represents multiplication is × . Multiplication is a mathematical operation. Other operations in mathematics are addition, subtraction and division.

(s ÷ 4) x 4 = 7 x 4

s = 28

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the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of 2 : 1.5 is (- 23 / 7 , 1).

We are given a line segment formed by joining the points:

E (- 5, 5)

F (- 2, - 2)

We need to find the coordinate of a point P which divides this line segment in the ratio 2 : 1.5

Now, we can also write this ratio as:

4 : 3

The formula for finding the coordinate of point P is:

x = (m x₂ + n x₁) / (m + n)

y = (m y₂ + n y₁) / (m + n)

Substituting the values in the formula, we get that:

x = 4(-2) + 3(-5) / 4 + 3

x = - 8 - 15 / 7

x = - 23 / 7

y = 4(- 2) + 3(5) / 4 + 3

y = - 8 + 15 / 7

y = 7 / 7 = 1

So, point P = (- 23 / 7 , 1)

Therefore, we get that, the coordinates of a point P that lies along the directed line segment from E (-5, 5) to F (-2,-2) and partitions the segment in the ratio of 2 : 1.5 is (- 23 / 7 , 1).

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[tex]=9x^{3} +2x^{2} -5x+4-5x^{3} +7x-4\\=9x^{3} -5x^{3} +2x^{2} -5x+7x+4-4\\=4x^{3} +2x^{2} +2x[/tex]

Be remined for the second expression affects the signs of all the terms inside the brackets.

Answer:

yeah

Step-by-step explanation:

They do not intersect???

Probability of selecting a random sample of n = 4 students with an average age greater than 23 is 0.1587, the probability of selecting a random sample of n = 36 students with an average age greater than 23 is 0.00135 and for a sample of n = 36 students, the probability that the average age is between 21 and 22 is 0.6826

In the distribution ages for students at the state college is positively skewed with a mean value μ= 21.5 and a standard deviation of σ = 3.

a)P(z> (23-21.5)/(3/√4))

P(z>1) = 0.1587

b) P(z> (23-21.5)/(3/√36))

P(z>3) = 0.00135

c) P((23-21.5)/(3/√36) < z < (22-21.5)/(3/√36 ))

P(-1 < z < 1) = 1 - 0.1587 - 0.1587 = 0.6826

Therefore, probability of selecting a random sample of n = 4 students with an average age greater than 23 is 1587, the probability of selecting a random sample of n = 36 students with an average age greater than 23 is 0.00135 and for a sample of n = 36 students, the probability that the average age is between 21 and 22 is 0.6826

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