Subtract and write in standard form
(8x – 6x3 + 5x2) - (2x2 + 2x - 7x3)​

The required standard deviation is 0.74 of the sampling distribution of sample means (21.338, 24.262).

The statistic is the study of mathematics that deals with relations between comprehensive data.

Standard daviation = 6.2/√69 = 0.74

Here, as per the central limit theorem when random samples are assumed for immense sizes, the sample mean would pursue a normal distribution with mean i.e. population means.

Since expected mean value of the sampling distribution,
= 22.8 ± margin of error

Margin of error for 95% = 1.96(6.2/√69) = 1.462

Therefore the mean of the sample would lie between
= (22.8 - 1.462 , 22.8 + 1.462)

= (21.338, 24.262)

Thus the required standard deviation is 0.74 of the sampling distribution of sample means (21.338, 24.262).

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The algebraic expression that represents the number of beads per necklace is given as follows:

250/8.

The algebraic expression representing the number of beads per necklace is obtained applying the proportion in the context of the problem.

The proportion is given by the division of the total number of beads by the total number of necklaces, as follows:

Beads per necklace = Number of beads / Number of necklaces.

The parameters for this problem are given as follows:

Hence the algebraic expression that represents the number of beads per necklace is given as follows:

250/8.

(dividing the number of beads by the number of necklaces given in this problem).

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The probability that a ball selected at random from the jar is number 1, rounded to two decimal places, is 0.17.

To find the probability of selecting ball number 1 from a jar containing 6 balls numbered from 1 to 6, we need to determine the number of favorable outcomes (selecting ball number 1) and the total number of possible outcomes.

The total number of possible outcomes is 6 since there are 6 balls in the jar.

The number of favorable outcomes is 1 since we are interested in selecting ball number 1.

Therefore, the probability of selecting ball number 1 is given by:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 / 6

To express this probability in decimal form, we divide 1 by 6:

Probability ≈ 0.1666667

Rounded to two decimal places, the probability of selecting ball number 1 is approximately 0.17.

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The first pentagon is dilated to form the second pentagon by a scale factor of 2

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Small pentagon = 1

Large pentagon = 2

Using the above as a guide, we have the following:

Scale factor = 2/1

Evaluate

Scale factor = 2

This means that the scale factor is 2

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The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

wy m by that??!???? im confused

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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Answer:

3/1

Step-by-step explanation:

rise/run

9514 1404 393

Answer:

  3

Step-by-step explanation:

The line goes through the origin (0, 0) and point (1, 3), which is 3 units up and 1 to the right of the origin.

  slope = rise/run = 3/1 = 3

The slope of the line is 3.

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

Diagonal = 13 yd

Step-by-step explanation:

The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²

Where,

a = 12 yd

b = 3 yd

c = 4 yd

d = diagonal

Plug in the values

d² = 12² + 3² + 4²

d² = 169

d = √169

d = 13 yd

Answer:

this is the correct answer B. y+1= -2(x-2)

Answer:

240

Step-by-step explain

so

k = 2640/11 = 240

2640/240 = 11

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.

The confidence interval formula is \(\bar x\pm t\frac{s}{\sqrt{n}}\).

Where, \(\bar x\) is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.

Here,

\(\bar x\) =1.267, s=1.23, n=30

The standard error is Se= 1.23/√30

= 0.2246

Item a:

The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.

Item b:

Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.

\(\bar x\pm tS_c\)

\(\bar x+ tS_c\) =1.267-2.7564(0.2246) =0.6479

\(\bar x- tS_c\) =1.267+2.7564(0.2246) =1.8861

Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.

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Answer: 3 11/15  please mark brainliest If I helped you.

the question is kayar and 12 by 5 miles on Monday and 21 by three miles on Tuesday what is the total distance in miles kayuren during those two days first phone on Monday how much run that was 12 by 5 miles on Tuesday Shirin to 1 by 3 minus now this whole part and fractional part are written separately so this can be converted into a mixed fraction like when a number is of the form of p by see that is one whole number and fraction then it is written as a + b by c so we can write Monday that was 12 by 5 miles that is

12 by 1 + 2 by 5 that will be 5 will be LCM of 5 + 2 will be 7 by 5 MI and Tuesday it will be 21 by 3 that is 2 + 1 by 3 3 will be the LCM of 3 and 22 will be 6 plus one that is 7 by 3 minus in question is asked that what was the total distance kayar and thus during today's so Monday plus Tuesday will be the total total 27 by 5 + 7 by 3 that will be equal to LCM will be 15 this will be X 307 into 3 + 7 and 25 that

is 21 + 45 upon 15 that will be equal to 56 upon 15 Now since we have to give answer in mixed fraction in whole number and fraction this a bi bi can be divided into a whole number and fraction part when divided by be the remainder is remainder is written here b is written here and question is written here so 56 by 15 can be written as 15 and 23 is 45 three years question remainder will be 11:00 that is 56 - 45 and below will be the denominator will be 15 so this is our answer and the correct

The difference between the basketball team's and the football team's overall maximum points is 7,440.

A game is any mental or physical activity with rules that is done for enjoyment, such as physical activities like baseball and soccer, or board games such as chess and Monopoly, or card games, or electronic games

We learn the following from the issue:

F = (1/2)B

We are aware that there is a 20-game disparity between the number of hoops victories and the number of football victories, so:

B/2 - F/2 = 20

Substituting F = (1/2)B, we get:

B/2 - (1/2)B/2 = 20

Simplifying, we get:

B/4 = 20

Multiplying both sides by 4, we get:

B = 80

Similar to how 160 football games were played (since F = (1/2)B = 40), 80 of them had scores of 30 or greater. Therefore, the maximum possible points earned by the football team is 80 x 7 = 560.

The difference between 8000 and 560 is:

8000 - 560 = 7440

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The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

$12.50

Step-by-step explanation:

(2,30*4)+3.30

9.20+3.30=12.50

Answer:

y= 5-8x

Step-by-step explanation:

See image below:)

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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A polynomial f (x) of degree 4 that has the following zeros, 0, 6 (multiplicity 2), -2 is: x (x+2) (x-6)²

A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminate's and coefficients. Nearly all areas of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.

given that,

a polynomial f(x) of degree 4 and has the zeros are 0, 6 (multiplicity 2), -2

We know that If a polynomial P(x) is, of degree 4 and has Zeros are a, b, c (multiplicity 2) then polynomial P(x) will be:

P(x) = (x - a)' (x - b)' (x - c)²

P(x) = (x - a)' (x - b)' (x - c)²

So, here polynomial of degree 4 will be:

F(x) = (x- (-2)) [x-6]² (x-0)

F(x) = x (x+2) (x-6)²

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Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of \(m = n\mu\), in which \(\mu\) is the mean number of calls per hour, and the standard deviation is \(s = \sqrt{n}\sigma\), in which \(\sigma\) is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: \(m = n\mu\), and the standard deviation is \(s = \sqrt{n}\sigma\)

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of \(m = n\mu\), in which \(\mu\) is the mean number of calls per hour, and the standard deviation is \(s = \sqrt{n}\sigma\), in which \(\sigma\) is the standard deviation of the number of calls per hour.

Answer:

rrrrrrrrrrrtuuuuuuuuuuuuuuuuu

Step-by-step explanation:

Answer:

The campsites can be chosen in 5,765,760 different ways.

Step-by-step explanation:

Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:

16 x 15 x 14 x 13 x 12 x 11 = X

240 x 182 x 132 = X

240 x 24,024 = X

5,765,760 = X

Therefore, the campsites can be chosen in 5,765,760 different ways.

It's 8/6

Because 6/8 × 8/6 = 1

Answer:

it's 8/6

I hope it's help u

The Graph C shows the solution to this system of inequalities in the coordinate plane.

When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalties.

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

We are given that

3y > 2x + 12

2x + y ≤ - 5

Therefore, solving it;

x < 3(y - 4)  / 2

y > 2 (x + 6)  / 2

2x + y< -5

x> -5

So,

x < 3(y - 4)  / 2  

Here it shows dotted ascending line attached through x=-6

This means x=--6 and y = 0

This x>-5 shows boundary dotted vertical line through -5

Which means x = -5 y = 0

If it had been x ≥ -5 it would have been solid boundary line.

The vertices of both show (-5,1) so the correct option is C.

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The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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