Mikee had a box of cupcakes, of which he gave 24 cupcakes to his friend Juan. Juan gave 3/4 of his share to his friend Elena. How many cupcakes did Elena get?

Answer: 1,3,4

Step-by-step explanation: :)) np

Step-by-step explanation:

The first differences are 7,9,11,13,15,17 and the second differences are 2.

This means that the first term of the sequence is n^2.

Subtracting n^2 from the sequence gives 6,10,14,18,22,26, which has nth term of 4n + 2.

So putting these together gives a nth term of the quadratic sequence of n^2 + 4n + 2.

Hope it helped and tell me if I went wrong :)

The confidence interval in both cases has been constructed as:

a) (26.02, 29.98)

b) (120.17, 127.83)

The formula to calculate the confidence interval is:

CI = xˉ ± z(σ/√n)

where:

xˉ is sample mean

σ is standard deviation

n is sample size

z is z-score at confidence level

a) xˉ = 28

σ = 4

n = 11

90 percentage confidence.

z at 90% CL = 1.645

Thus:

CI = 28 ± 1.645(4/√11)

CI = 28 ± 1.98

CI = (26.02, 29.98)

b) xˉ = 124

σ = 8

n = 29

90 percentage confidence.

z at 99% CL = 2.576

Thus:

CI = 124 ± 2.576(8/√29)

CI = 124 ± 3.83

CI = (120.17, 127.83)

Read more about Confidence Interval at: https://brainly.com/question/15712887

#SPJ1

Answer:

113.097 square meters

Step-by-step explanation:

First, let's take a moment to visualize the information in this problem. Assuming the sprinkler has full range of motion, this would mean the area covered by the water would form a circular shape, with the sprinkler as the center.

Using this information, we also know that the 6 m of water sprayed by the sprinkler is equal to the radius of the circle. In order to find the area of the shape, we will use the formula for the area of a circle:

A = pi(r^2)

Filling in our known radius, we have:

A = pi(6^2) = pi(36) = 113.097 square meters

Hope this helped!

Answer:

14x

Step-by-step explanation:

.....................

The cost of goods sold for the year can be calculated by adding the beginning finished goods inventory to the cost of goods manufactured, and then subtracting the ending finished goods inventory.

Therefore, the cost of goods sold for the year for Branson Books is: $400,000 (beginning finished goods inventory) + $860,000 (cost of goods manufactured) - $990,000 (ending finished goods inventory) = $270,000.

This means that the total cost of goods sold for the year was $270,000. Cost of goods manufactured represents the total cost incurred by the company to manufacture the goods during the year. Beginning work-in-process inventory represents the cost of goods that were partially completed at the beginning of the year, while ending work-in-process inventory represents the cost of goods that were partially completed at the end of the year.

By subtracting the beginning work-in-process inventory from the total cost of goods manufactured and adding the ending work-in-process inventory, the cost of goods completed during the year can be calculated. This cost, when added to the beginning finished goods inventory, represents the total cost of goods available for sale. By subtracting the ending finished goods inventory, the cost of goods sold can be calculated. In this case, we have calculated the cost of goods sold for Branson Books to be $270,000.

Learn more about subtracting here: brainly.com/question/32204155

#SPJ11

The strength factor of the evidence you just got that you picked the special box is 4.

Given:

There are four boxes that look the same. in one box (the special one), half of the marbles are blue. but only 1/8 of the marbles in the other boxes are blue.

Hypothesis =  The box the blue marble was picked from is the special box.

Prior confidence = 1:3 (ratio of special boxes to non special boxes )

Now P(B | S) = 1/2 (given that a box is selected from the special box, there is 1/2 chance that it is blue)

And P(B | NS) = 1/8 (given that a box is selected from a non-special box, there is 1/8 chance that it is blue)

According to  bayes factor ,we get:

P(B | S)/P(B | NS) = (1/2)/(1/8) = 4

Thus, 4.

Therefore the strength factor of the evidence you just got that you picked the special box is 4.

Learn more about the strength factor and marble here:

https://brainly.com/question/10697254

#SPJ4

Answer:

Step-by-step explanation:

x<-14

Answer:

x < -14 is correct.

Step-by-step explanation:

Here is the work:
x - 2 > 2x + 12

I will start by getting rid of the 2x , so subtract 2x from both sides.

-x -2 > 12

Add 2 to both sides.

-x > 14.

Multiply by negative 1 on both sides because -1 times -1 is 1, so you get 1x (x).

When multiplying by a negative, you switch the sign around.

x < -14.

Answer:

Step-by-step explanation:

We can best determine this by putting the quadratic into work (vertex) form by completing the square. Move the -3 over to the other side to get

x^2 - 2x = 3. Now take half the linear term, square it, and add it to both sides. Our linear term is 2. Half of 2 is 1, and 1 squared is 1, so we add that to both sides:

x^2 - 2x + 1 = 3 + 1 and do some simplifying to both sides. The left side is a perfect square binomial:

(x - 1)^2 = 4

Move the 4 back over to get the vertex form of the quadratic:

y = (x-1)^2 - 4

The "a" value is a 1. Since p is found using a, and the coordinates of the focal point are (h, k + p), we need the vertex and the value of a. Now we have both. The value of p is found in:

\(p=\frac{1}{4lal}\) (those are absolute value symbols), hence, our p value is 1/4.

The coordinates of the focal point are (1, -4 + 1/4) or (1, -15/4)

Answer:

∠α = 5.001°

a easy calculator for this is:

https://www.calculator.net/right-triangle-calculator.html?av=3.5&alphav=&alphaunit=d&bv=40&betav=&betaunit=d&cv=&hv=&areav=&perimeterv=&x=57&y=16

Answer:

1. Is one

2. 40 Degrees

3. x=45

Step-by-step explanation:

Answer:

3654.7

Step-by-step explanation:

isbssnsbscTag c z agajama

Answer:

if rounding to the nearest 10 :

3650

if rounding to the nearest tenths :

3654.7

If an author uses a number or percentage as proof for a statement in a text, he or she is using a statistic or statistical evidence.

Statistical evidence refers to the use of data, numbers, or percentages to support or validate a claim or argument.

By presenting statistical information, the author aims to provide quantitative support and enhance the credibility and persuasiveness of their statement.

Statistical evidence can include various forms, such as survey results, research findings, or data from reliable sources.

It allows readers to assess the strength of the author's argument based on objective numerical data, reinforcing the author's position and adding credibility to their claims.

To know more about statistical evidence refer here:

https://brainly.com/question/29753183#

#SPJ11

Step-by-step explanation:

hope it helps thnak you

brainliest pls ❤

Answer:

Step-by-step explanation:

Find the value of s on one side of the equation to isolate it.

1.1=s+2.3/3

First, switch sides.

\(\sf{\dfrac{s+2.3}{3}=1.1}\)

Multiply by 3 from both sides.

\(\sf{\dfrac{3\left(s+2.3\right)}{3}=1.1* \:3}\)

Solve.

1.1*3=3.3

s+2.3=3.3

Then, subtract by 2.3 from both sides.

s+2.3-2.3=3.3-2.3

Solve.

Subtract.

3.3-2.3=1.0=1

s=1

Therefore, the final answer is s=1.

I hope this helps, let me know if you have any questions.

A hypothesis is a statement regarding a characteristic of one or more populations. The null hypothesis is a statement of no change, no effect, or no difference. The alternative hypothesis is a statement we are trying to find evidence to support.

Generally, the null hypothesis expresses that there is no change, no difference, no effect, and in another way, no relationship between the independent and dependent variables. Because we are hypothesizing that nothing is happening, then it is called the null hypothesis.

The null and alternative hypothesis are two conflicting claims which researchers weigh evidence for and against using a statistical test. Null hypothesis (H0) means there is no effect in the population. Meanwhile, alternative hypothesis (Ha or H1) means there is an effect in the population.

Learn more about null and alternative hypothesis at: https://brainly.com/question/28214949

#SPJ4

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The slope of a line perpendicular to the line is -4

The equation is x -4y = 28

The equation for the line is

y = mx + c

where m = slope

c = y-intercept

Here the equation is x - 4y = 28

4y = x - 28

y = x/4 - 7

So the slope of this line is 1/4

Now we have to find the slope of the line perpendicular to that line.

We know that,

m1 × m2 = -1

1/4 × m2 = -1

m2 = -4

Therefore the slope of the line perpendicular to the line is -4.

To know more about the slope of the line refer to the link given below:

https://brainly.com/question/22057368

#SPJ1

The complete question is:

Find the slope of a line perpendicular to x-4y=28

Answer:

A ≈ 34.91 m²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \(\frac{40}{360}\) ( r is the radius )

  = π × 10² × \(\frac{1}{9}\)

  = \(\frac{100\pi }{9}\)

  ≈ 34.91 m² ( to 2 decimal places )

Answer:

(round 35m²)

Step-by-step explanation:

360° : 40° = 9  

Area of Circle Formulas · Area = π × r2, where 'r' is the radius

Area = π × r2

Area = π × 10²

Area = π × 100

Area = 3.14 × 100

Area = 314 m²

314 : 9 = 34.88m² (round 35m²)

Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

Know more about "Horner's algorithm" here:-

https://brainly.com/question/5150902#

#SPJ11

fourty four percent hope this helps !

Answer:

(-6,8)

Step-by-step explanation:

SANA NAKATULONG AKO

CORRECT ME IF I WRONG

Answer:

(-6, - 8)

Step-by-step explanation:

\(\begin{cases}y = x - 2....(1)\\ \\2x + 4 = y....(2)\end{cases} \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 2x + 4 = x - 2 \\ \\ 2x - x = - 2 - 4 \\ \\ x = - 6 \\ \\ y = - 6 - 2 \\ \\ y = - 8 \\ \\ (x \: \: y) = ( - 6 \: \: - 8)\)

Answer:

3

Step-by-step explanation:

The slope is rise/run and for this case, it is 3/1 which equals 3!!!

The final answer is 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C, where C represents the constant of integration. The expression is given in terms of x only.

To evaluate the given integral, we can use trigonometric substitution. Let's substitute x = 4sinθ, which allows us to rewrite the integrand in terms of θ. The differential becomes dx = 4cosθ dθ.

Using this substitution, the integral transforms into ∫(4sinθ)²√(16-(4sinθ)²)(4cosθ) dθ. Simplifying this expression yields 16∫sin²θ√(1-cos²θ)cosθ dθ.

We can apply the double-angle identity sin²θ = (1-cos2θ)/2 to simplify further. This results in 8∫(1-cos2θ)√(1-cos²θ)cosθ dθ.

Next, we can apply the trigonometric identity sin(2θ) = 2sinθcosθ to obtain 8∫(sinθ-sin³θ) dθ.

Finally, integrating term by term and substituting back x = 4sinθ, we arrive at the final answer of 8arcsin(x/4) - 4sin(2arcsin(x/4)) + C. This expression represents the antiderivative of the given function in terms of x only, where C represents the constant of integration.

Learn more about trigonometric substitution here:

https://brainly.com/question/32150762

#SPJ11

Answer:

D. -3 < x

Step-by-step explanation:

-18 < 5x - 3

-18 + 3 < 5x

-15/5 < 5x/5

-3 < x

\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

The rational values are :

and

The Irrational values are :

and

Answer:

hello i want 30 ponits and by the way im a 4th grader and lets be friends