Mark won 83 lollipops playing hoops at
the county fair. At school he gave three to
every student in his math class. He only
has 8 remaining. How many students are
in his class?

The value of x = 40°

To solve for x, we will use an illustration:

When two lines intersect, the angles opposite each other are vertical angles. Vertical angles are equal.

The angles marked in magenta are equal.

The angle by the right in magenta colour will also be 52°.

The sum of angles in a triangle = 180°

x° + 52° + 88° = 180°

x + 140 = 180

subtract 140 from both sides:

x + 140 - 140 = 180 - 140

x = 40°

Answer:

3x-y=-13

Step-by-step explanation:

y-3x=13

Use the commutative property to reorder the terms

-3x+y=13

Change the signs on both sides of the equation

3x-y=-13

Answer:

640 i believe

Step-by-step explanation:

Each builder will be paid £32.55 for work on tuesday.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that on Monday it took 5 people, three and half hours to build a wall. An identical wall needs to be built on Tuesday but only 2 people are available. Each person is paid £9.30 for each hour or part of an hour they work.

5 people take 3.5 hours to build a wall.

1 person will take (3.5/5) hours to build a wall.

2 persons will take (3.5/5 x 2) hours to build a wall.

1 person is paid £9.30 for each hour. So 2 persons will get -

£{9.30 x 3.5/5 x 2}

£32.55

Therefore, each builder will be paid £32.55 for work on tuesday.

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Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

Using the combinations formula, the probability that you'll win the jackpot is given by:

A. 1/302575350.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

5 numbers are selected from a set of 70, along with one number from a set of 25, hence the number of combinations is given by:

\(C_{70,5}C_{25,1} = \frac{70!}{5!65!} \times \frac{25!}{1!24!} = 302575350\)

Only one combination is correct, hence the probability of winning is given by:

A. 1/302575350.

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Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

Hey there mate :)

As per your question, AB + BC = AC are the sides of a triangle.

=> AB + BC = AC

( AC is hypotenuse and AB and BC are remaining two sides )

=> (x + 16) + (4x + 11) = 77

(These are the given values of each side such as [x+16]=AB ; BC=[4x+11] and AC=77)

=> 5x = 77 - 27

=> 5x = 50

=> x = 50/5

=> x = 10

( Now these above steps are the continuing solving processes of given values)

=> AB = x + 16

(Previously we got value x and now substitute its value)

=> AB = 10 + 16

=> AB = 26

(Now these are the remaining solving processes)

~ Benjemin360

Answer:

The value of R is 0.7482.

Step-by-step explanation:

X Values

∑ = 35

Mean = 5

∑(X - Mx)2 = SSx = 68

Y Values

∑ = 34

Mean = 4.857

∑(Y - My)2 = SSy = 50.857

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = 44

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 44 / √((68)(50.857)) = 0.7482

r = 0.7482

Sorry if I get this wrong Because not for sure how you need the awnsers I dont know if this is the right way

Mx: 5.000

My: 4.857

Sum: 68.000

Sum: 50.857

sum: 44.000

X Values

∑ = 35

Mean = 5

∑(X - Mx)2 = SSx = 68

Y Values

∑ = 34

Mean = 4.857

∑(Y - My)2 = SSy = 50.857

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = 44

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 44 / √((68)(50.857)) = 0.7482

Meta Numerics (cross-check)

r = 0.7482

Answer:

kjhgfd bjnk

Step-by-step explanation:

hjgfb bnjhgfx

Answer:

49:14:70

these numbers are all divisible by 7

49 / 7 = 7

14 /7 = 2

7- / 7 = 10

7:2:10

33:121

these numbers are divisible by 11

33 / 11 = 3

121 / 11 = 11

3:11

Step-by-step explanation:

49:14:70 using 7 to break it down you have

7:2:10

33:121

using 11 to break it you will have

3:11

Answer:A footing is the final balance when adding all of the debits and all of the credits in accounting. The debits are tallied, followed by the credits, and the two are netted to compute the account balance. Footings are commonly used in accounting to determine final balances to be put on the financial statements.

Step-by-step explanation:The debits are tallied, followed by the credits, and the two are netted to compute the account balance. Footings are commonly used in accounting to determine final balances to be put on the financial statements.

9514 1404 393

Answer:

Step-by-step explanation:

In step 1 Angela used the distributive property to eliminate both sets of parentheses. In step 2, she found each of the products she indicated in step 1. In step 3, she combined like terms.

Answer:

the answer is a,d,e

Step-by-step explanation:

The correct option for the given question is c) lim x→a¯ f(x) = f(a) when the function f(x) is said to have jump discontinuity at a point x=a.

Jump continuity is a concept in calculus that describes the behaviour of a function at a specific point where the function jumps from one value to another value without any intermediate values. In other words, a function is considered jump continuous at a point if the function approaches a finite limit from both the left and right sides of that point, but the function values on the left and right sides of the point are not equal.

According to the given information:

The correct notation for the left-hand limit as x approaches a from the left side is lim x→a¯, where the horizontal line above the "a" indicates approaching from the left side.

The statement "lim x→a¯ f(x) = f(a)" means that the limit of f(x) as x approaches a from the left side is equal to the value of f(a) at x = a. This indicates that the function f(x) has a jump discontinuity at x = a, where the function jumps from one value to another value at that specific point.

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Answer: -1

Step-by-step explanation: I’m built different

Answer:

A.

Step-by-step explanation:

You can see that the rate of change of function A is 3. because that's the slope (M) in y=mx+b

5 is slope for B because unit rate is 5 ( 1 to 3 change is +10 so unit rate is 5)

Answer:

15 years

Step-by-step explanation:

Given the quadratic regression model:

y = 8x² - 40x+6 ; where

y = Number of people attending graduate school ;

x = number of years

The value of x when y = 1206

The equation becomes :

1206 = 8x² - 40x+6

1206 - 6 = 8x² - 40x

1200 = 8x² - 40x

Divide through by 8

150 = x² - 5x

x² - 5x - 150 = 0

x² - 15x + 10x - 150 = 0

x(x - 15) + 10(x - 15)

x - 15 = 0 or x + 10 = 0

x = 15 or x = - 10

Number of years can't be negative,

Hence, x = 15 years

Answer:

S = 21.6/G

S = 3.6

Step-by-step explanation:

Inverse variation:

y = k/x

For this problem:

S = k/G

We use the given values of S and G to find k.

9 = k/2.4

k = 9 * 2.4

k = 21.6

The equation is

S = 21.6/G

For G = 6,

S = 21.6/6

S = 3.6

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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You can check that both series converge for all real x (say, using the ratio test).

Now,

\(\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!} \implies x e^{-x^2/2} = \sum_{n=0}^\infty \frac{(-1)^n x^{2n+1}}{2^n n!}\)

and if you have some familiarity with differential equations, you might recognize that the second series represents a Bessel function, namely

\(\displaystyle I_0(x) = \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2}\)

but we won't bother making use of this.

In the integral, we interchange the integral with the sum

\(\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac1{2^{2n} (n!)^2} \int_0^\infty x^{2n+1} e^{-x^2/2} \, dx\)

and consider the sequence of integrals,

\(J_n = \displaystyle \int_0^\infty x^{2n} x e^{-x^2/2} \, dx\)

Integrating by parts with

\(u = x^{2n} \implies du = 2n x^{2n-1} \, dx\)

\(dv = x e^{-x^2/2} \, dx \implies v = -e^{-x^2/2}\)

Then the contribution of uv is 0, so

\(J_n = \displaystyle 2n \int_0^\infty x^{2(n-1)} x e^{-x^2/2} \, dx = 2n J_{n-1}\)

We have

\(J_0 = \displaystyle \int_0^\infty x e^{-x^2/2} \, dx = 1\)

so that

\(J_n = 2n J_{n-1} = 2n (2(n-1)) J_{n-2} = 2n (2(n-1)) (2(n-2)) J_{n-3}\)

and so on; after k steps,

\(J_n = 2n (2(n-1)) (2(n-2)) \cdots (2(n-(k-1))) J_{n-k}\)

so that when n = k,

\(J_n = 2n (2(n-1)) (2(n-2)) \cdots 2 J_0 = 2^n n!\)

Then the integral we want is

\(\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac{2^n n!}{2^{2n} (n!)^2} = \sum_{n=0}^\infty \frac1{2^n n!}\)

and knowing the series expansion for \(e^x\), it follows that the integral has a value of \(e^{1/2} = \boxed{\sqrt{e}}\)

Hello!

We can solve this exercise as a system:

• They would like to ,raise $500,.

Prices:

• $5 candles

• $6 flowers

• They estimate to ,sell 200 items,.

So, we will have the system:

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

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Answer:

Option B: 3:8 is the right answer.

Step-by-step explanation:

Given that:

There are a total of eight circles.

The number of black circles is three.

Ratio is defined as quantitative relationship between two quantities.

As the statement demands ratio of black circles to total number of circles,therefore,

Ratio of black circles to total circles is 3:8

Hence,

Option B: 3:8 is the right answer.

Answer:

5/4

Step-by-step explanation:

We can start but setting the blank as x.

x - 1/2 = 3/4

we can put a common denominator on both of the.

2, 4

4, 8

4 is a common denominator.

1/2 times 2/2 = 2/4

x - 2/4 = 3/4

add on both sides.

x = 5/4

Answer:

5/4

Step-by-step explanation:

____ - 1/2= 3/4

____= 3/4+1/2

= 3+2/4 ( LCM of 2,4 is 4)

5/4

Check

5/4-1/2=3/4

Answer:

-82.9675 is the mean

Step-by-step explanation:

Hope this helps :) and if it doesn't I am sorry for disappointing you :(

Answer:

6

Step-by-step explanation:

c(2)=(-9/2)*(-4/3)^(2-1)=(-9/2)*(-4/3)=6