Find the axis of symmetry:
Picture is below.

The test statistic based on the probability illustrated is -2.57.

The basic training is given as 103 hours. The variance is also given as 9.

The test statistic will be:

= (102 - 104/3/✓60)

= -1/(3/7.7)

= -2.57.

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20 x (-5) + 10x (-3) + (-5) × (-6)-(3x5) = -115

Answer:

The simplified form of the above expressions solution is -115.

Step-by-step explanation:

The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

According to the statement

we have given that a equation and we have to expand it by use of the binomial theorem.

So, For this purpose we know that the

A binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

And the general formula is

[tex](x+y)^n= ^nC_0x^ny^0+^nC_1x^(n-1)y^1+^nC_2x^(n-2)y^2+...+^nC_nx^0y^n[/tex]

And we have to solve it with the given equation (x-4)^5.

Then

[tex](x-4)^5=x^5+20x^4+(20)/(2)x^3(4^2)+(60)/(6)x^2(4)^3+(120)/(24)x^1(4)^4+(120)/(120)x^0(4)^5[/tex]

Now after solving the equation become

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The after expanding the given statement with the binomial theorem the result output is

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

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Answer:

c) 212 sq ft

Step-by-step explanation:

I don't know which ways you tried, but I will show you three different ways, and the answer will be the same using all three ways.

1) The length of the upper horizontal side is 8 ft + 12 ft = 20 ft

Think of a rectangle 20 ft by 16 ft with a rectangle 12 ft by 9 ft missing at the lower right corner.

area = 20 ft × 16 ft - 12 ft × 9 ft

area = 320 ft² - 108 ft²

area = 212 ft²

2) Break up the shape into an upper horizontal rectangle 20 ft long by (16 ft - 9 ft) = 7 ft wide and a lower left rectangle 9 ft high and 8 ft wide.

area = 20 ft × 7 ft + 9 ft × 8 ft

area = 140 ft² + 72 ft²

area = 212 ft²

3) Break up the shape into an left vertical rectangle 16 ft high by 8 ft wide and an upper right rectangle 7 ft high and 12 ft wide.

area = 16 ft × 8 ft + 7 ft × 12 ft

area = 128 ft² + 84 ft²

area = 212 ft²

Answer: c) 212 sq ft

Answer:

Step-by-step explanation:

espero ter ajudado

The explicit formula that can be used to determine the number of wolves is w = 210 (1.0692^t) .

The first step is to determine the growth rate of the wolf species.

Growth rate = [(future population / present population)^(1/number of years)] - 1

[(410 / 210)^(1/10)] - 1 = 6.92

The exponential function would have the form:

FV = P (1 + r)^t

w = 210 (1.0692^t)

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The values of x and y that can represent the equation is illustrated.

The equation given us 32 = xy + 16

The table will be:

x. y

4. 4

16. 1

2. 8

32. 0.5

For example, when x and y are 4. This will be:

= xy + 16

= (4 × 4) + 16

= 32

Other values of x and y will also give 32.

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Answer: 5

Step-by-step explanation:

[tex]\sqrt{(-4-0)^2 + (1-(-2))^2}=5[/tex]

Answer:

B

Step-by-step explanation:

because at origin they are both positive and when it rotates about 270 both will change to negative

The missing parts of the proof are: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

A square is a special type of rectangle whose consecutive sides are congruent. All four sides of a square are congruent.

In the proof given, the distance formula [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] was used to find ST = a units in step 2.

By the definition of congruence, RS = ST in step 4.

Finally, RSTU is stated to be a square because if two consecutive sides of a rectangle are congruent, then it is a square.

The option that completes the proof in the right order is: A. distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it is a square.

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Answer:

distance formula; definition of congruence; if two consecutive sides of a rectangle are congruent, then it’s a square

Step-by-step explanation:

so its c for me

Answer:

Multiples of 4:4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Multiples of 6:6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Answer: The least common denominator of 1/4 and 1/6 is 12.

Prime factorisations of 8= 2 × 2 × 2.

Prime factorisations of 12= 2 × 2 × 3.

More items...

Hi! ⋇

                 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

   To find the least common denominator of [tex]\sf{\frac{1}{2}}[/tex] and [tex]\sf{\frac{5}{6}}[/tex], we should first find the least common multiple of 2  and 6, which is 6:

 Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16... ∞

 Multiples of 6: 6, 12, 18, 24... ∞

(all common multiples are in bold-face; all multiples of 6 are in bold-face because all multiples of 6 are also multiples of 2)

· In both sets, 6 is the least common multiple, and it's also the least common denominator.

Hope this made sense to you !!

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On average, the height of a plant varies 3.2 inches from the mean of 6 inches.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. The outlier is 22.

Mean absolute deviation =  (1/n) x ∑ l x - m(x) l

Mean without the outlier : (9 + 4 +  10 + 9 + 5+  2 +  10 + 3 + 3+  5) / 10 = 6

(1/10) x ∑ l (9 - 6) + (4 - 6) +  (10 - 6)  + (9 - 6)  + (5 - 6) +  (2 - 6) +  (10 - 6)  + (3 - 6)  + (3 - 6) + ( 5 - 6) = 3.2

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Answer:

120°

Step-by-step explanation:

Angles in a quadrilateral add to 360°, so

90+90+x+2x=360

180+3x=360

3x=180

x=60

So, angle R measures 120°.

The value of x is 22

Based on the description in the question,

The angles 5x -40 and 5x are angles on a straight line

So, we have:

5x - 40 + 5x = 180

Evaluate the like terms

10x = 220

Divide by 10

x = 22

Hence, the value of x is 22

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The function is increasing on the intervals:

(-∞, 3] and [5, ∞)

Then the correct options are a and c.

The function is increasing when, reading from left to right, we can see that the curve goes upwards.

By looking at the graph, we can see that the function increases between -∞ and 3, and also increases between 5 and ∞, then the correct options are a and c-

(-∞, 3] and [5, ∞)

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The answers to the question are

b. (l + 2f) (w + 2f)

c. f + 4, f + 6

d.  52.25

a. The diagram is an attachment.

The equation says

(l + 2f) (w + 2f)

We have the lengths of w and l as 8 and 12 respectively. Hence we have

(8 + 2f) (12 + 2f) as the area

c. (8 + 2f) (12 + 2f)

= 96 + 16f + 24f + 4f²

= 4f² + 40 f + 96

We have to factorize this using the quadratic equation calculator

f + 4, f + 6

= f = -4 and f = -6

d. If it is 1.25 thick we would have

1.25 x 2 = 2.5

12 - 2.5 = 9.5

8 - 2.5 = 5.5

Area = l * w

= 5.5 * 9.5

= 52.25

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Answer:

[tex]\frac{169}{49}[/tex]

Step-by-step explanation:

Square the top and bottom numbers in the fraction

13^2 = 169

7^2 = 49

169/49

Answer:

45°

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so

So, the measure of angle X is 2(14)+17=45°

Answer:

B=37

H=66

Step-by-step explanation:

Use algebra and find the answer.

The equation of the median in standard form is; 9y - 38x = 179.

It follows from the task content that the point D is the midpoint of segment BC; Hence, the coordinates of point D given the coordinates of B and C above are given as; D(-13, -35).

The equation of the median which is the line joining points A and D is therefore determined as follows;

Slope = (-35-3)/(-13-(-4)) = 38/9

38/9 = (y-3)/(x+4)

9y -27 = 38x + 152

9y - 38x = 179.

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Andy needs to subtract cost from the service revenue.

Revenue is the total income earned before any deductions are made. Net income is the total revenue less total expenses or cost.

Net income = total revenue - cost

For example, if a company sold 100 loaves of bread for $100 dollars. The cost of making the bread is $50. The revenue is $100 and the net income is $50 (100 - 50).

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Answer:

The product would be: -22/3 = 16/3, if true or false: false the left side -7.3 does not equal to the right side 5.3 which means the given statement is false, if it is evaluated -22/3 = 16/3, if multiplied it would still be -22/3 = 16/3 (you never said how to solve it so here are ways)

The simplified firm of the ratio 0.40 to 0.60 is 2 : 3

0.40 : 0.60

= 0.40 / 0.60

divide both numerator and denominator by 0.20

= 2 / 3

= 2 : 3

Therefore, the simplified form of the ratio 0.40 to 0.60 is 2 : 3

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Answer:

x = 15, UV = 12, SV = 31

Step-by-step explanation:

13 + 6 + (2x - 18) = 4x - 29

2x + 1 = 4x - 29

2x = 30

x = 15

UV = 2x - 18 = 2*15 - 18 = 30 - 18 = 12

SV = 4x - 29 = 4*15 - 29 = 60 - 29 = 31

The number of people who how many most likely purchased crunchy-flakes cereal is 1000 customers.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

The first step is to determine the ratio of people who preferred crunchy-flakes cereal:

Ratio of people who preferred crunchy-flakes cereal : 5 - 3 = 2

Now, multiply the ratio of those who prefer crunchy-flakes cereal by the total number of customers: (2/5) x 2500 = 1000  customers.

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Answer:

0.6

Step-by-step explanation:

Given what we know, we can set up a proportion to convert 1,056 yards into miles

[tex]\frac{1760 yd}{1mi} =\frac{1056 yd}{x mi} \\\\1760x=1056\\\\x=0.6[/tex]

The value of the expression for the given values of the variables is 1/9

From the question, we are to determine the value of the expression for the given values of the variables

The given expression is

[tex](\frac{4x^{3} -2y-2z^{3} }{4y^{2}-16x^{2} }) ^{2}[/tex]

From the given information,

x = 2

y = -5

z = 3

Putting the values of the variables into the expression

[tex](\frac{4(2)^{3} -2(-5)-2(3)^{3} }{4(-5)^{2}-16(2)^{2} }) ^{2}[/tex]

[tex](\frac{4(8) +10-2(27) }{4(25)-16(4) }) ^{2}[/tex]

[tex](\frac{32 +10-54 }{100-64 }) ^{2}[/tex]

[tex](\frac{-12 }{36 }) ^{2}[/tex]

[tex](\frac{-1 }{3 }) ^{2}[/tex]

[tex]= \frac{1}{9}[/tex]

Hence, the value of the expression for the given values of the variables is 1/9

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The speed of the driver is 200km/hr.

The information is incomplete and an overview will be given since the complete information wasn't found online.

It should be noted that speed is calculated as:

= Distance / Time

Let distance = 2000km

Let time = 10 hours.

Speed = Distance/Time

Speed = 2000/10

Speed = 200km/hr

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Answer: 0.18

Step-by-step explanation:

The probability of the event P(A and B) is equal to 0.18.

The correct option is (C).

A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Probability has been introduced in Arithmetic to forecast how likely occurrences are to happen.

As per the given data:

We are given the probability of two events:

P(A) = 0.60 and P(B) = 0.30

We are also given that A and B are independent events.

To find the probability of P(A and B):

The term and is equivalent to the term intersection.

P(A and B) = P(A∩B)

For any 2 independent events A and B the probability P(A∩B) is given by:

= P(A) × P(B)

By substituting the given values in the question

= 0.60 × 0.30

= 0.18

The probability of the event P(A and B) is equal to 0.18.

Hence, The probability of the event P(A and B) is equal to 0.18.

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