Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on green)

Answer:

This expression can be written in a shorter way using something called exponents. An expression that represents repeated multiplication of the same factor is called a power.

Answer:

Step-by-step explanation:

This formula can be written shorter using so-called exponents. Expressions representing repeated multiplications of the same factor are called exponentiations. 5 is called the base and 2 is called the exponent.

The new mean of a distribution of tests would be 175 and the new standard deviation of a distribution of tests would be 10 which is unchanged.

We have been given that in the question:

Mean of data = 80

Standard deviation = 10.

Then,  every score is doubled and 15 is added to each score.

The mean of a distribution is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

a) Mean of new data

The mean of the data rises by the same amount when a constant value is applied to each observation.

Mean of new score =

μ' = 2μ + 15 = 2(80) + 15 = 175

b) Standard deviation of new data

Every observation has a constant value added to it, therefore the standard deviation stays constant.

The standard deviation of the new score =

σ' = σ = 10

Therefore, the new mean and standard deviation would be 175 and 10 respectively.

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Answer:

Step-by-step explanation:

Ten more than x x + 10

A number added to 5 5 + x

A number increased by 13 x + 13

5 less than 10 10 - 5

A number decreased by 7 x - 7

Difference between x and 3 x - 3

Difference between 3 and x 3 - x

Twice a number 2x

Ten percent of x 0.10x

Ten times x 10x

Quotient of x and 3 x/3

Quotient of 3 and x 3/x

Five is three more than a

number

5 = x + 3

The product of 2 times a

number is 10

2x = 10

One half a number is 10 x/2 = 10

Five times the sum of x and 2 5(x + 2)

Seven is greater than x 7 > x

Five times the difference of a

number and 4

5(x - 4)

Ten subtracted from 10 times a

number is

that number plus 5

10x - 10 = x

+ 5

The sum of 5x and 10 is equal

to the product of x and 15

5x + 10 =

15x

The sum of two consecutive

integers

(x) + (x + 1)

The sum of two consecutive

even integers

(x) + (x + 2)

The sum of two consecutive odd

integers

(x) + (x + 2)

Answer:

x=64

Step-by-step explanation:

5+(1/8)x=13

Subtract 5 to both sides to get (1/8)x=8

Multiply by the reciprocal of 1/8 (8) on both sides. The 1/8 and 8 cancel and the answer should be x=64

The given series is geometric series. The sum of its first 5 terms is 6248.

To determine whether the series is an arithmetic or geometric one, we need to check how the consecutive terms relate to each other.

If it is an arithmetic series, then:

   a(n) = a(n-1) + d

where d is the common difference.

If it is a geometric series, then:

   a(n) = a(n-1) . r

where r is the common ratio.

The given series is:

      5000 + 1000 + 200 +. . . .

and the number of terms is 5.

In the given series:

a(1) = 5000

a(2) = 1000

a(3) = 200

Notice that

a(2)/a(1) = 1000/5000 = 0.2

a(3)/a(2) = 200/1000 = 0.2

Since the ratio of consecutive terms are constant, then the given series is a geometric series. Furthermore, its ratio, r = 0.2

Sum formula for the first n term of a geometric series is:

S(n) = a(1) . (1 - rⁿ)/(1 -r)

Substitute n = 5, a(1) = 5000, and r = 0.2

S(5) = 5000 . (1 - (0.2)⁵)/(1 - 0.2)

S(5) = 5000.  (0.99968) / 0.8

       = 6248

Since the number of terms is not much we can also evaluate the sum directly. Write all the terms until n = 5.

a(4) = 200 . (0.2) = 40

a(5) = 40 . (0.2) = 8

Hence, the series is:

5000+1000+200+40+8 = 6248.

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Answer:

My teacher helped

Step-by-step explanation:

Answer:

There are 29% chance that they will skip their breakfast

Step-by-step explanation:

40 / 14 x 10 = the percentage of the kid skipping his breakfast

40 / 14 x 10 = 28.5%

28.5 = (rounded off) = 29%

The kid has a 29% chance of skipping the breakfast

=================================

[tex]\\[/tex]

[tex]33\div x=3\\[/tex]

multiplying both sides by x

[tex]33=3x\\3x=33[/tex]

dividing by 3 both sides

===================================

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[tex]\textcopyright ELIZA[/tex]

Answer:

x = 11

Step-by-step explanation:

33/x = 3

33 = 3x

x = 33/3

x = 11

Hope it helps!!!

Answer:

x = 1 if the perimeter is 42

Step-by-step explanation:

Given

s = 4x + 10

when Perimeter = 42, what is x?

Solution

Perimeter = 3s

Perimeter = 3(4x +10)                Remove the brackets

Perimeter = 12x + 30

Let the Perimeter = 42

42 = 12x + 30                              Subtract 30 from both sides

42-30 = 12x + 30-30                   Combine

12 = 12x                                        Divide by 12

12/12 = 12x/12

x = 1

Answer:

7/8 if you divide you will get your answer

Answer:

Coefficient(s):9

Variable(s):x,y

Constant(s):-22

Step-by-step explanation:

Functions can be reflected on the x-axis, the y-axis, or both axes. For example, function reflection y= f(x) can be written as y= -f(x) or y= f(-x) even y= -f(-x). There are four types of function or graph transformations: reflection, rotation, translation, and dilation. In mathematics, especially geometry, mirror or mirroring means flipping, so basically, the mirroring of a function is the mirror image of a given function or graph. Hence the reflection function is commonly known as the reflection function.

The reflection of the given function should be similar in size and shape to the original function.

f(x)=4+x; x -axis

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The answer to your question would be, 171.5

Answer:

[tex]x = 7 \sqrt[3]{2} [/tex]

Answer:

yall i tried

Step-by-step explanation:

bring it to the formula first then gotta multiply

Answer:

2

Step-by-step explanation:

Given equations:

[tex]\begin{cases}ab=a-b\\\\\dfrac{a}{b}+\dfrac{b}{a}-ab\end{cases}[/tex]

Rewrite the second equation as a rational expression:

[tex]\begin{aligned}\implies \dfrac{a}{b}+\dfrac{b}{a}-ab & = \dfrac{a}{b} \cdot \dfrac{a}{a}+\dfrac{b}{a} \cdot \dfrac{b}{b}-ab\cdot \dfrac{ab}{ab} \\\\&=\dfrac{a^2}{ab}+\dfrac{b^2}{ab}-\dfrac{(ab)^2}{ab}\\\\&=\dfrac{a^2+b^2-(ab)^2}{ab}\\\\\end{aligned}[/tex]

Substitute the first equation  [tex]ab=a-b[/tex]  into the rational expression:

[tex]\begin{aligned}\implies \dfrac{a^2+b^2-(a-b)^2}{ab}&=\dfrac{a^2+b^2-(a^2-2ab+b^2)}{ab}\\\\&=\dfrac{a^2+b^2-a^2+2ab-b^2}{ab}\\\\&=\dfrac{2ab}{ab}\\\\&=2\end{aligned}[/tex]

Therefore, the possible value of the given expression is 2.

A pair of opposite angles is supplementary, a quadrilateral ABCD can be inscribed in a circle.

Every circle has an inscribed triangle with any three given angle measurements (summing to 180°, of course), and every triangle can be inscribed in any circle (which is called its circumscribed circle or circumcircle). Every triangle has an incircle, which is a circle that has been inscribed.

A cyclic quadrilateral is one that can be encircled by a circle. If and only if a pair of opposite angles is supplementary, a quadrilateral ABCD can be inscribed in a circle. Because the sum of all the angles is 360 degrees, it is true that one pair of supplementary angles is supplementary if and only if both pairs are supplementary.

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Answer:

50+50=100

How I got answer there are two 50 so if I multiply 50×2 I will get 100

and answer will come

Answer:

100

Step-by-step explanation:

Columnar addition

 50

+50

____

100

Answer:

(2A)/(r^2)=pi

Step-by-step explanation:

The goal is to get pi by itself, so you have to move all the other elements over

2A=pir^2

(2A)/(r^2)=pi

y = -2x + 6 is the equation of the line in slope-intercept form passing through points (-1 , 8) and (5 , -4).

An equation of a line in slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept.

Given two points passed through by the line, you can use them to write the equation of the line in slope-intercept form.

1. Find the slope of the line using the two given points.

let Point 1(-1 , 8) and Point 2(5 , -4)

slope = m = (y2 - y1) / (x2 -x1)

m = (-4 - 8) / (5 - -1)

m = -12 / 6

m = -2

2. Use the value of the slope and one of the points to find the value of the y-intercept, b. Plug in these values in the formula for slope-intercept form.

y = mx+ b

y = -2x + b

Using Point 1,

8 = -2(-1) + b

8 = 2 + b

b = 6

3. Write the equation of the line in slope-intercept form.

y = mx+ b

where m = -2 and b = 6

y = -2x + 6

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Answer: the answer is 168

The second graph shows a set of ordered pairs that represent a function.

Functions are an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

here, we have,

A relation is a function in which every x value will have different y values, this represents "every input will have unique output" part of the definition of the function,

When we observe the graphs (attached), we will notice in graph 1) there are two ordered pairs with same x value and different y values, (2, -1) and (2, -3), which is making them out of the list of being a function,

In graph 2) we have, (-2, 2), (1, 1), (5, 4), (-4, -4), (2, -5) and (4, -3), in this all the order pairs have different x-y values, therefore, this set of ordered pairs that represent a function.

Hence, the second graph shows a set of ordered pairs that represent a function.

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The question do not have graph, so, the question is solved for the graph attached.

The given sequence is geometric, with common ratio = -1.

Now, Given: -1, 1, -1, 1, ...

Here, a₁ = -1, r = [tex]\frac{1}{-1}=\frac{-1}{1} = \frac{1}{-1} = -1[/tex]

Hence, it is a geometric sequence, with common ratio = -1.

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The square root of the 15384 by division method is a 124.032.

According to the statement

We have to find that the square root with the division method.

So, For this purpose, we know that the

The long division is the mathematical method for dividing large numbers into smaller groups or parts

And

A generalised version of this method called polynomial long division is also used for dividing polynomials

From the given information:

The number is a 15384.

And then

Firstly in this number by the squaring of the same number and by this method after going down until the remainder is zero.

And after solving the square root of 15384

The answer will become 124.032.

So, The square root of the 15384 by division method is a 124.032.

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Answer: -8/11

Step-by-step explanation:

apply the formula

x sub 2- x sub 1

over

y sub 2 - y sub 1

yw

Using basic mathematical operations such as addition and subtraction, the beaker now has 5.2 ml of liquid.

Basic mathematical operations include addition, subtraction, multiplication, and division.

Addition is combining two or more values to come up with a total or sum. On the other hand, subtraction, the opposite of addition, is removing a value from another resulting to their difference.

If a scientist measures 4.62 ml of a chemical into a beaker, then takes out 0.67 ml of the chemical, and finally adds 1.25 ml of water into the beaker, subtracting the amount of chemical taken out from the initial amount of chemical and adding the amount of water, we can solve how much liquid is in the beaker.

4.62 ml - 0.67 ml + 1.25 ml = 5.2 ml

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The domain restrictions that would allow the inverse of f(x) to also be a function are given as follows:

The function is one to one if there are no horizontally aligned points, that is, each value of y is also related to only one value of x. A function will have an inverse in the part of the domain of the function that is one to one.

For this problem, the relation is symmetric at x = -4, hence the domains x <=  -4 and x >= -4 must not intersect for the inverse to be a function, and the restrictions are given by:

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The restrictions on the variables x and y of the equation

(3y-12)/(2y+4) ÷ (6y-24)/(8+4y) be y ≠ 4 and y ≠ -2

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure exists as pursues: Expression: (Math Operator, Number/Variable, Math Operator)

Let the equation be (3y-12)/(2y+4) ÷ (6y-24)/(8+4y)

simplifying the equation, we get

(3y-12)/(2y+4) × (8+4y)/(6y-24)

⇒ (3y-12)/(2y+4) × 2(4+2y)/2(3y-12)

⇒ 2/2 = 1

If y = 4 ⇒ denominator (6 × 4 - 24) = 0 = ∞

Similarly, If y = -2 ⇒ denominator ((2 × -2) + 4) =0 = ∞

So, y ≠ 4, y ≠ -2

How to find restrictions on the variables?

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Answer:

900

Step-by-step explanation:

527 to 1sf is 500

389 to 1sf is 400

400+500=900

Answer:

900

Step-by-step explanation:

527 to 500

389 to 400

500+400=900

The party costs a total of 1445.

Given,

The rent of meeting room at the convention center = 400

Additional fee for each person attends the party = 5.50

Number of people in Karen’s class = 285

The number of people attended the graduation party:

2/3 of 285

= (2/3)285

= 95 x 2

= 190

Therefore the additional fee collected from 190 people,

190 x 5.50 = 1045

Now the total cost of the party = rent of room + total additional fees

= 400 + 1045

= 1445

That is, the party costs a total of 1445.

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Answer:

Step-by-step explanation: