Find the value of x 117,145,133,140,119,125

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

x²-8x+16+y²+2y+1=16+1-13
(x-4)²+(y+1)²=2²

general form of a circle's equation is
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r= radius
By comparing with A,
(4,-1) is center and radius= 2.

The center of the circle is (-4,2) and the radius is 2

The equation is given as:

x^2 + y^2 - 8x + 2y + 13 = 0

Rewrite as:

x^2 - 8x + y^2  + 2y + 13 = 0

Subtract 12 from both sides

x^2 - 8x + y^2  + 2y = -13

Group each variable

[x^2 - 8x] + [y^2  + 2y] = -13

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

Take the coefficient of x and y

-8 and 2

Divide by 2

-4 and 1

Square both numbers

16 and 1

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

Next, we add 16 and 1 to both sides of the equation

[x^2 - 8x + 16] + [y^2  + 2y + 1] = -13 + 16 + 1

Express as perfect squares and evaluate the sum

(x - 4)^2 + (y + 1)^2 = 4

Express 4 as 2^2

(x - 4)^2 + (y + 1)^2 = 2^2

A circle is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where:

Center = (a,b)

Radius = r

This means that the center of the circle is (-4,2) and the radius is 2

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The polynomial function with -3 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1 will be x³+9x²+16x.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

It is given that the polynomial is given with -3 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

Each zero, such as a, corresponds to a linear factor, such as (x a). The repeating of such components is corresponding to multiplicity. The following polynomial thus meets the requirements in our example:

= (x-(-3))³(x-0)¹

=(x³-3x²(-3)+3x(-3)²-(-3)²)(x)

=x³+9x²+27x-9x

=x³+9x²+16x

Thus, the polynomial function with -3 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1 will be x³+9x²+16x.

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Answer:

114.29

Step-by-step explanation:

Answer:

C) 1 3/8

I hope this helped :)

explanation:

I used the process of elimination. The other answers didn't make sense.

Answer:Well, we already see that the number of girls is greater than the number of boys, to find the result of girls, just do the division that is 30:2= 15 and boys is 30:3= 10

i hope i have helped you

Step-by-step explanation:

Answer:

8 boys, 22 girls

To solve, you must isolate the variable. This means moving the variable and it's coefficient to the other side of the equation with only the same variable on the same side with all the constants on the other side.

If you multiply, divide, add, subtract, square root, exponent both sides of the equation by the same value, that end value stays the same.

Q)

Lets set the amount of boys to x.

The amount of girls is 3x-2 as the amount of boy is x.

Set up an equation.

x+3x-2 = 30

30 is the amount of members.

Add 2 on both sides.

x+3x+2-2=30+2

Simplify by combining like terms.

4x = 32

Divide 8 on both sides.

\(\frac{4x}{4} =\frac{32}{4}\)

x = 8

There are 8 boys in the class.

Plug back into the equation or subtract from 30 to solve for the amount of girls.

30 - 8 = 22

8(3) - 2 = 22

If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.

As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.

We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.

To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as

Interest (I) \(=(\frac{P*R*T}{100} )\)

where, "P" = Principle amount of Loan,

"R" = Rate of simple interest charged on the principle per annum, and

"T" = Time period within which, the loan is to be repaid.

Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year  = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)

And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.

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Answer:  The first one (-3,6)

Step-by-step explanation:

Both linear functions meet at (-3,6).

You can graph both linear functions on the Desmos graphing calculator website to verify your answer.

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer:

The answer is -3*5-4= -15-4=-19. So given f(x)=5 then x=-19.

Step-by-step explanation:

So basically when it says f(5) that means we need to plug in x=5 into the equation -3x-4. So lets solve, -3*5-4=-19. I  hope this helps if you need any clarfication please comment. Please dont tell me you are cheating on a quiz/test/assestment. Cheating does not help you by the way!

Answer:

I graphed all of the equations on the graph below.

Step-by-step explanation:

At the point (6,4), the equation \(x+y\ge10\) uses 6 + 4 ≥ 10. Also, the equation \(2x+3y\le24\) uses 2(6) + 3(4) ≤ 24.

If this answer is correct, please make me Brainliest!

Answer:

its A !!

Step-by-step explanation:

From the corollary, The prove that the area of ABC is equal to area of ABD is that Area of a triangle is function of base and height only.

Corollary (Same side and height)

Given: p || q, AB in q, C and D in p

Prove: A ABC = A ABD

Given that p || q  (p is parallel to q) this means that the height of both triangles are equal

The both triangles have same base AB

Area of a triangle = 1/2 * base * height

Since the base and height of Δ ABC and Δ ABD are equal then the area of both Δ  are equal

Therefore Area of Δ ABC = Area of Δ ABD

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On solving the provided question, From the question, our region is defined by: lower bound: y= \(x^2\) and upper bound: y = \(\sqrt{x}\)

Integrals are mathematical representations of numbers and functions that express notions such as volume, area, displacement, and other outcomes of the combination of little data. Finding integrals is the term used to describe the procedure.

By green's theorem -

\(\int\limits^{}_{} {} \, \int\limits^{}_{a} {5dA} \, = 5/3\)

First, the integral given in this exercise corresponds to:  

\(\int\limits^{}_{C} {((3y + 7e\sqrt{x}dx) +( 8x+ 5cos(y^2)) } \, dy\)

Greens Theorem given as,

\(\int\limits^{}_{C} {(P(x,y)dx +Q(x,y)dy)} \, = \int\limits^{}_{} {x} \, \int\limits^{}_a {(-\beta /\beta _{y} )P(x,y) + (\beta /\beta _{y} )Q(x,y)} \, dA\)

and we have -

P(x,y) = 3y + \(7e^{\sqrt{x}}\)

Q(x,y) = 8x + 5cos(\(y^2\))

And,

\(\int\limits^{}_{C} {(P(x,y)dx +Q(x,y)dy)} \, = \int\limits^{}_{} {x} \, \int\limits^{}_a {5dA} \, dA\)

From the question, our region is defined by:

lower bound: y= \(x^2\)

upper bound: y = \(\sqrt{x}\)

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The probability that less than 8.4% of the individuals in the sample hold multiple jobs is approximately 0.0681 or 6.81%.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number outcomes.

To determine whether it is appropriate to use the normal approximation, we need to check whether the conditions for using the normal distribution are met.

We can use the following criteria:

The sample size is large enough: n × p ≥ 10 and n × (1 − p) ≥ 10

The observations are independent

Here, we are given that the sample size is n = 66. To check the first condition, we need to find the expected number of individuals who hold multiple jobs in the sample, which is given by:

np = 0.12 × 66 = 7.92

n(1-p) = 66 - 7.92 = 58.08

Both np and n(1-p) are greater than or equal to 10. So, the sample size is large enough and the first condition is met.

Additionally, we can assume that the observations are independent since the sample is random and represents less than 10% of the population of employed adults in the United States.

Therefore, it is appropriate to use the normal approximation.

To find the probability that less than 8.4% of the individuals in the sample hold multiple jobs, we need to standardize the sample proportion using the formula:

z = (p'- p) / \(\sqrt{(p(1-p) / n)}\)

where p' is the sample proportion, p is the population proportion (0.12), n is the sample size (66), and sqrt represents the square root.

Substituting the values, we get:

z = (0.084 - 0.12) / \(\sqrt{((0.12)(1-0.12) / 66)}\) = -1.496

Using a standard normal distribution table, we can find that the probability of z being less than -1.496 is approximately 0.0681.

Therefore, the probability that less than 8.4% of the individuals in the sample hold multiple jobs is approximately 0.0681 or 6.81%.

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Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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The perimeter of the rectangle created by the given points (-4, 4), (3, 4), (-4, -3), and (3, -3) is 28 units. The length of each side is calculated, and the sum of all four sides gives the perimeter. Option D.

To find the perimeter of the rectangle created by the given points, we need to calculate the sum of the lengths of all four sides.

Let's calculate the length of each side:

Side 1: The distance between (-4, 4) and (3, 4) along the x-axis is 3 - (-4) = 7 units.

Side 2: The distance between (-4, 4) and (-4, -3) along the y-axis is 4 - (-3) = 7 units.

Side 3: The distance between (-4, -3) and (3, -3) along the x-axis is 3 - (-4) = 7 units.

Side 4: The distance between (3, -3) and (3, 4) along the y-axis is 4 - (-3) = 7 units.

Now, let's sum up the lengths of all four sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4

Perimeter = 7 + 7 + 7 + 7

Perimeter = 28 units

Therefore, the perimeter of the rectangle created by the given points is 28 units. Option D is correct.

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Answer:

Angle COD=40

Step-by-step explanation:

(2a+62)+ (54-a)+(5a-20)=180

6a+96=180

6a=84

a=14

Angle AOC=2(14)+62=90

Angle COD=54-14=40

Angle DOB=5(14)-20=50

Answer:

Angle COD, 40 degrees

Step-by-step explanation:

Alrighty, to start, Angle AOB is a 180 degree angle because it is a line.

Therefore, if we combine all of the variables and numbers together, we can set it equal to 180 degrees to find a.

2a+62+54-a+5a-20

6a+96=180

6a=84

a=14

Next, plug in this value into each of the given angles provided with variables and numbers:

Angle AOB:

2a+62

2(14)+62

28+62

90 degrees

Angle COD:

54-a

54-14

40 degrees

Angle DOB:

5a-20

5(14)-20

70-20

50 degrees

From this, it can be found that Angle COD has the smallest angle, with it being 40 degrees.

Answer:

A.,

Step-by-step explanation:

The probability the arrow will land on the section labeled Z and the coin will land with heads face-up will be 1/8. Then the correct option is A.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

A spinner has four equal sections labeled W, X, Y, and Z. A fair coin has faces labeled heads and tails. Edward will spin the arrow of the spinner and flip the coin one time each.

Then the total number of the events will be given as,

Total events = 4 x 2 = 8

The probability the arrow will land on the section labeled Z and the coin will land with heads face-up will be

Favorable event = 1 {(Z, H)}

P = 1/8

The probability the arrow will land on the section labeled Z and the coin will land with heads face-up will be 1/8. Then the correct option is A.

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Hello!

x² - 5x + 6

= (x² - 2x) + (-3x + 6)

= x(x - 2) - 3(x - 2)

= (x - 2)(x - 3)

Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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Answer:

Step-by-step explanation:

Cost of 3 oranges = cost of 54 oranges / 18

Using mathematical operations on the word problem, the amount he will receive as his change is $1.43

A word problem is a few words are presented in a form of problem and  needs to be solved by way of a mathematical calculation.

This problem can be solved using mathematical operation such as addition and subtraction.

The total amount he has with him = $15

The current bill = $8.33

The fruit salad = $2.99

Tip = $2.25

Total amount spent = 8.33 + 2.99 + 2.25

The total amount spent = 13.57

The amount of change = total amount he has with him - total amount spent

The amount of change = 15 - 13.57

The amount of change = 1.43

The change he is going to receive is $1.43

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The question is incomplete:

You have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.85 each. Your budget allows you to spend $39.00 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy?

Answer:

You can buy 20 crocus bulbs and 40 daffodil bulbs.

Step-by-step explanation:

From the information provided you can write the following equations:

x+y=60 (1)

0.25x+0.85y=39 (2), where:

x is the number of crocus bulbs and y is the number of daffodil bulbs.

First, you can solve for x in (1):

x=60-y (3)

Then, you can replace (3) in (2):

0.25(60-y)+0.85y=39

15-0.25y+0.85y=39

0.60y=39-15

y=24/0.60

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=60-40

x=20

According to this, the answer is that you can buy 20 crocus bulbs and 40 daffodil bulbs.

Answer:

-6x² -4x -16

Step-by-step explanation:

be watchful of signs to avoid making errors

Answer:

Your answer is ::::::::.. 15.25

Answer:

15.25

Step-by-step explanation:

15.25x2=30.50

6.25x4=25

25+30.50=55.50