Shelby asked 15 of her friends to name their favorite ice cream flavor if Shelby choses one of her friends at random what is the probability that this friend's favorite flavor is either strawberry or vanilla?

Answer:

n²+1

2n²

Step-by-step explanation:

We can see that 2, 5, 10, and 17 becomes 1, 4, 9, and 16 when we subtract 1.

So it adds 1. The nth will be n² + 1.

2, 8, 18, and 32 is the double of n². 1, 4, 9, and 16 are their half.

So the nth term becomes 2n².

The value of the equation is

a) The nth term of the equation is Aₙ = n² + 1

b) The nth term of the equation is Bₙ = 2n²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

a)

Let the nth term of the equation be represented as Aₙ

Now , the sequence is

P = { 2 , 5 , 10 , 17 , .. }

when n = 1 , P₁ = 2

when n = 2 , P₂ = 5

So , the equation for the nth term is Aₙ = n² + 1

b)

Let the nth term of the equation be represented as Bₙ

Now , the sequence is

Q = { 2 , 8 , 18 , 32 , .. }

when n = 1 , P₁ = 2

when n = 2 , P₂ = 8

So , the equation for the nth term is Bₙ = 2n²

Hence , the equations are solved

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Answer:

Step-by-step explanation:

x=9

Answer:

5/4=15/13=1

Step-by-step explanation:

hope that helps

If you folded the figure up, you would have a prism where the parallel bases are right triangles. Each lateral face is a rectangle.

It might help to imagine a room where the floor and ceiling are triangles (they are identical or congruent triangles). Each wall of this room is one of the rectangles shown.

Answer:

Scott

Step-by-step explanation:

you got it right, -20 absolute value is 20

Answer: The Correct Answer is 6 because 16+24 is 40 then minus 10 is 30

16-15 is 1 then plus 4 is 5 then you divide 30 by 5 and get 6

Step-by-step explanation: BRAINLIEST PLS

Answer:

I'm pretty sure its 6.

Step-by-step explanation:

The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500   (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825   (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

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\(y = 5x \\ switch \: y \: and \: x \\ x = 5y \\ solve \: for \:y \\ y = \frac{x}{5} \)

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

=> the passing point's y cord is lower than vertex, meaning it is a reflection
\(y=-a\left(x+h\right)^{2}-k\)

=>Apply the vertex to hk form
\(y=-a\left(x+4\right)^{2}-1\)
=> Find a by plugging X and Y of the passing through point

\(-3=-a\left(-2+4\right)^2-1\)

=> solve
\(-4a-1+1=-3+1\)

\(a=\frac{1}{2}\)

Therefore the equation for this is,

\(y=-\frac{1}{2}\left(x+4\right)^{2}-1\)

Answer:

\(y=-\dfrac{1}{2}(x+4)^2-1\)

Step-by-step explanation:

Vertex form:  \(y=a(x-h)^2+k\)  

where:

Given:

Substitute given values into the formula to find \(a\):

\(\implies -3=a((-2)-(-4))^2+(-1)\)

\(\implies -3=a(2)^2-1\)

\(\implies -3=4a-1\)

\(\implies -2=4a\)

\(\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}\)

Therefore, the equation of the parabola is:

\(y=-\dfrac{1}{2}(x+4)^2-1\)

Answer:

  x = -5

Step-by-step explanation:

You want the equation of the vertical line with x-intercept -5.

Every point on a vertical line has the same x-coordinate. The y-coordinate can be anything. The equation of such a line is ...

  x = c . . . . . . . for some constant c

When the line passes through points with an x-coordinate of -5, the constant (c) in the equation is -5.

The equation of the line is x = -5.

<95141404393>

The first one would be a likely event because there are three vowels out of four.

The second one is unlikely because there is just one vowel out of four.

The third event is equally likely because there is the same number of blue and black cubes.

The last event is certain to occur because there are just red cubes.

Answer:

30% of 20 is 6 so 6/20 are blue

20 - 6 = 14

Therefore Sally has 14 blue beads in her necklace

Step-by-step explanation:

9514 1404 393

Answer:

  2√71

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides. Let x represent the length of the hypotenuse.

  x^2 = 15^2 +(√59)^2

  x^2 = 225 +59 = 284

  x = √284 = 2√71

In simplest form, the third side is 2√71.

Answer:

See below.

Step-by-step explanation:

For an equation like \(\displaystyle \large{ar+b=cr+d}\) to have no solution, the equation has to be false.

To make an equation false, we let a = c. That’d make a and c have same value, when we transport cr to subtract ar, we’ll get 0.

So if a = c, the equation is \(\displaystyle \large{b=d}\) now that we have b = d. The equation has to be false to have no solutions, hence b and d must not equal to one another.

Summary

Let me know if you have any questions regarding this question or for clarification.

The formula for calculating the volume of a cube is expressed as V = L³. The volume of the cube is 1/27 cubic meters

The formula for calculating the volume of a cube is expressed as:

V = L³

where:

L = 1/3cm

Substitute

V = (1/3)³
V = 1/3³

V = 1/27 cubic meters

Hence the volume of the cube is 1/27 cubic meters

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Answer:

Answer by Yi Jing

Step-by-step explanation:

Answer:

X = 10

Step-by-step explanation:

<1 = 2x + 10

<2 = x + 20

<3 = 180 - 6x (linear angles = 180 degrees)

<1 + <2 + <3 = 180 degrees

2x + 10 + x + 20 + 180 - 6x = 180

-3x + 210 = 180

-3x = 180 - 210

x = -30/-3

x = 10

Answer:

Step-by-step explanation:

what you do id try to find the math book on quizelit or some websire and find the answer

Answer:

Step-by-step explanation:

\(\mathrm{-4x^3-12x^3+9x^2}\)

Combine like terms:-

\(\mathrm{-4x^3-12x^3=\bf-16x^3}\)

\(\mathrm{-16x^3+9x^2}\)

Therefore, -16x³ + 8x² is equivalent to -4x³-12x³+9x².

______________________

Hope this helps! :)

By combining like terms in the given expression, we get -16x^3 + 9x^2, which matches with one of the options provided, confirming it as the correct answer.

To find the equivalent expression, we just need to add or subtract the like terms. In the given expression -4x^3 - 12x^3 + 9x^2, the like terms are -4x^3 and -12x^3. These can be combined by performing the arithmetic operation stated, which is subtraction in this case.

So, -4x^3 - 12x^3 = -16x^3. Hence, the simplified form of the original expression would be -16x^3 + 9x^2.

To simplify the expression −4x3−12x3+9x2, you can combine like terms. The terms with the same variable and exponent can be added or subtracted. In this case, the terms -4x3 and -12x3 can be combined to give -16x3. So, the expression becomes -16x3+9x2 .

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer: 2

4 – (6-4) = 2

Answer: 2- (y= 6 , z=2)

Step-by-step explanation:

If z = 4 and y = 6, then we can substitute these values into the expression:

z - (y - z) = 4 - (6 - 4)

Expanding the subtraction in the parentheses, we get:

z - (y - z) = 4 - (6 - 4) = 4 - (2) = 4 - 2

Finally, solving for the subtraction:

z - (y - z) = 4 - 2 = 2

So, the value of the expression z - (y - z) when z = 4 and y = 6 is 2.

The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

Two or more expressions with an Equal sign is called as Equation.

Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour

Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour

For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.

Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20

Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00

Total factory overhead cost per unit of table lamp

$2.20 + $5.00 = $7.20

Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.

If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?

a. $4.91

b. $6.33

c. $7.20

d. $5.00

Answer:

x would be equal to 6

Step-by-step explanation:

24 would be divided by 4 because it's 4x

Answer:

x = 24 ÷ 4 or 24/4

Step-by-step explanation:

In order to isolate the variable, you multiply both sides by the reciprocal of 4, which is 1/4.

Answer:

Step-by-step explanation:

Answer:

Answer:

2 or 200%

Step-by-step explanation:If the growth rate doubled every week, it would grow by 100% per week. Since the growth rate triples every week, it grows by 200% per week. This is easy to see..... If 1 person is sick at the start.......by the end of the first week, 2 more would be sick. And 2 is 200% of 1. So, 3 people are sick at the end of the first week- triple that of the start. At the end of the second week,  6 more would be sick , and 6 is 200% of 3. So, 9 people total are sick at the end of the second week - triple that of the beginning of the second week

The given sequence is

\(z_n = log(1 + (θ/(α + {i*cos(π/2) - i*sin(π/2)}))^n)\)

First, we need to simplify the expression inside the log. The term \({i*cos(π/2) - i*sin(π/2)}\) can be simplified to 0, since cos(π/2) = 0 and sin(π/2) = 1.

Therefore, the expression inside the log becomes \((1 + (\theta/\alpha)^n)\).

Now, we need to find the limit of this sequence as n approaches ∞.

If θ/α is less than 1, then (θ/α)^n will approach 0 as n approaches infinity, and the limit of the sequence will be log(1) = 0.

If θ/α is greater than 1, then (θ/α)^n will approach infinity as n approaches infinity, and the limit of the sequence will be log(infinity) = infinity.

If θ/α is equal to 1, then (θ/α)^n will always be 1, and the limit of the sequence will be log(2).

Therefore, the limit of the sequence depends on the values of θ and α. If θ/α < 1, the limit is 0. If θ/α > 1, the limit is infinity. If θ/α = 1, the limit is log(2).

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Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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