Is for the next 2 min please help

Answer:

x<2 or x ≥ 15/2

Step-by-step explanation:

Answer:3

Step-by-step explanation:

There are 715 ways to select 9 players for the starting lineup.

Permutation is used whenever there is arrangement or where order is important . denoted by \(P(n,r)=\frac{n!}{(n-r)!}\)

n= no of item  , r = no of items to be arranged.

Combination is used when there is selection . denoted by\(C(n,r)=\frac{n!}{r!(n-r)!}\)

n=no of item  , r= no of item to be selected.

Part (a)

In the given question

we have to select 9 players out of 13 player , combination will be used

\(C(13,9)=\frac{13!}{9!*(13-9)!}=\frac{13*12*11*10*9!}{9!*4!} =\frac{13*12*11*10}{4*3*2}\)=715 ways.

Part(b)

In this part we have to find how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters.

Since the batting order is important , permutation will be used.

\(P(13,9)=\frac{13!}{4!} =\frac{13*12*11*10*9*8*7*6*5*4!}{4!} =13*12*11*10*9*8*7*6*5\)

=259459200 ways.

Part(c)

In this part we have to do selection of  3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

Since order is not important Combination  will be used.

To select 3 left handers from total 6 left handers = C(6,3)

& to select 6 positions of left handers from remaining 7 right handers=C(7,6)

No of ways of selection = C(6,3)*C(7,6)

\(=\frac{6!}{3!*(6-3)!} *\frac{7!}{6!*(7-6)!} \\ \\= \frac{6!}{3!*3!} *\frac{7!}{6!*1!} \\ \\\)

On solving further we get

\(= \frac{7!}{3!*3!} =\frac{7*6*5*4*3!}{3!*3*2*1} =7*5*4=140ways\)

Therefore ,(a)There are 715 ways to select 9 players for the starting lineup.

(b) there are 259459200 ways to to select 9 players for the starting lineup and a batting order for the 9 starters and 140 ways .

(c)there are 140 ways to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

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The polynomials is divided using synthetic division and the remainder theorem to 3x³ -6x² - 20x - 77/x + 4

Synthetic division is described as one of the methods that is used to manually perform the Euclidean division of polynomials.

The steps taken in a synthetic division include;

Given the polynomial;

f(x) = 3x³ + 6x² + 4x +3 by x + 4

We have;

        3          6        4         3

-4     _____-12__24___80__

        3          -6       -20      -77

Then, we have;

3x³ -6x² - 20x - 77/x + 4

Hence, the expression is 3x³ -6x² - 20x - 77/x + 4

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The gratest Common Factor of the two monomials 9x²y²  and 5x²y³ is x²y² with exponents as (2, 2)

The largest positive integer that divides each of the integers is known as the greatest common divisor of two or more non-zero integers. The greatest common divisor of two numbers x and y is represented by the symbol GCF.

Most prevalent factor The greatest monomial that divides (is a factor of) each term of the polynomial is the GCF for that polynomial.

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.

The prime factors of 9x²y² are 3*3*x*x*y*y

The prime factors of 5x²y³ are 5*x*x*y*y*y

The common factors in the two monomials are x*x*y*y = x²y².

The gratest Common Factor of the two monomials 9x²y²  and 5x²y³ is x²y² with exponents as (2, 2)

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Answer:

x=−y/6− 1/2

x= 1−3y/8

hope it helps

Answer:

A

Step-by-step explanation:

\( \sin(2 \alpha ) = 2 \sin( \alpha ) \cos( \alpha ) \)

\( \sin( \alpha ) \cos( \alpha) = \frac{1}{2} \sin( 2\alpha ) \)

The results of dividing 1 into pieces that are each 1/9 of a whole is 9

1 ÷ 1/9

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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\(\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-54}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We have,

\('m = 18'\) and \('a = - 3'\)

Substituting the values of \(m\) and \(a\) in \(F=ma\),

➺\(\:F = 18 \times - 3\)

➺\( \: F = - 54\)

Therefore, the value of F is \(\boxed{-54}\).

F = force

m = mass

a = acceleration.

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The quadratic equation given the points (6,0), (-1,0), and (7,4).

The correct answer is h(x) = 1/2(x + 1)(x - 6).

To find the quadratic equation given the points (6,0), (-1,0), and (7,4), we can use the general form of a quadratic equation, which is \(h(x) = ax^2 + bx + c.\)

First, let's substitute the coordinates of the given points into the equation to create a system of equations:

For the point (6,0):

\(0 = a(6)^2 + b(6) + c ---- (1)\)

For the point (-1,0):

\(0 = a(-1)^2 + b(-1) + c ---- (2)\)

For the point (7,4):

\(4 = a(7)^2 + b(7) + c ---- (3)\)

We now have a system of three equations with three unknowns (a, b, c). We can solve this system to find the values of a, b, and c.

Solving the system of equations (1), (2), and (3), we find:

a = 1/2

b = -3/2

c = 0

Thus, the quadratic equation that satisfies the given points is:

h(x) = 1/2(x + 1)(x - 6).

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Answer: C. x = 50

Step-by-step explanation: 2/5 x 50 = 100/5 = 20 and 20+10=30.

Answer:

A trapezoid has two pairs of parallel sides

Translation, rotation, and reflection are three of the fundamental transformations.

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Answer:

∠DCB = 102°

Explanation:

∠CDB = ∠CBD

∠DCB = 180° - ∠CBD - ∠CDB

∠DCB = 180° - 39° - 39°

∠DCB = 102°

\(w \leqslant 15\)

\( \frac{1}{3?} w \: - 2 + 2 \geqslant 3 + 2 \\ 3 \times \frac{1}{3} w \geqslant 5 \times 3 \\ w \geqslant 15\)

To determine whether a function is linear, exponential, or neither, we need to analyze its equation or its pattern of change.

A linear function has a constant rate of change, meaning the change in the output is proportional to the change in the input. It can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept.
An exponential function, on the other hand, has a constant ratio of change, meaning the change in the output is proportional to the output itself. It can be represented by the equation y = ab^x, where a is the initial value and b is the base.
If the function does not exhibit a constant rate or ratio of change, then it is neither linear nor exponential.
To determine the type of function and find its equation, we need to analyze the given information or pattern. Please provide the specific function or pattern, and I will be happy to help you further.

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Answer:

D

Step-by-step explanation:

The 1220 feet is positive because the plane is above her.

The 14 feet is negative because the tree is below her.

Because you're comparing distances, you need the absolute value of both distances.

The absolute value of 1220 is 1220 and the absolute value of -14 is 14, so the absolute value of 1220 is greater than the absolute value of -14. The answer is D.

The maximum and minimum values of the function f(x, y, z) = x^2 * y^2 * z^2 subject to the constraint x^2 + y^2 + z^2 = 64 are not attainable within the given constraint. It means that there is no maximum or minimum value for the function within the given constraint.

To find the maximum and minimum values of the function f(x, y, z) = x^2 * y^2 * z^2 subject to the constraint x^2 + y^2 + z^2 = 64, we can use the method of Lagrange multipliers.

Let's define the Lagrangian function L(x, y, z, λ) as:

L(x, y, z, λ) = x^2 * y^2 * z^2 + λ(x^2 + y^2 + z^2 - 64)

Taking partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we have:

∂L/∂x = 2xy^2z^2 + 2λx = 0

∂L/∂y = 2x^2yz^2 + 2λy = 0

∂L/∂z = 2x^2y^2z + 2λz = 0

∂L/∂λ = x^2 + y^2 + z^2 - 64 = 0

From the first three equations, we can rewrite them as:

2x(y^2z^2 + λ) = 0

2y(x^2z^2 + λ) = 0

2z(x^2y^2 + λ) = 0

Since we are looking for non-zero values of x, y, and z, the expressions in parentheses must be zero:

y^2z^2 + λ = 0

x^2z^2 + λ = 0

x^2y^2 + λ = 0

From these equations, we can deduce that λ = 0, and consequently, yz = 0, xz = 0, and xy = 0.

Considering the constraint x^2 + y^2 + z^2 = 64, we have the following cases:

If x = 0, then y^2 + z^2 = 64. This represents a circle on the yz-plane.

If y = 0, then x^2 + z^2 = 64. This represents a circle on the xz-plane.

If z = 0, then x^2 + y^2 = 64. This represents a circle on the xy-plane.

From these cases, it is clear that x, y, and z cannot all be zero simultaneously since that would violate the constraint.

Therefore, the maximum and minimum values of the function f(x, y, z) = x^2 * y^2 * z^2 subject to the constraint x^2 + y^2 + z^2 = 64 are not attainable within the given constraint. It means that there is no maximum or minimum value for the function within the given constraint.

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Proficiency in statistics is an important skill for a data analyst because it is needed in  identifying patterns and correlations in data.

Data analysis can be regarded as the  process of collecting as well as modeling, and analyzing data so as to be able to extract insights that support decision-making.

Some Types of Data Analysis are:

It should be noted that Proficiency in statistics is an important skill for a data analyst because it is needed in  identifying patterns and correlations in data.

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a) With 95% confidence the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

b) If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.To calculate the confidence interval for the proportion of smart phones that break before the warranty expires, we must first calculate the point estimate of the population proportion of smart phones that break before the warranty expires:95/1666 = 0.057 (rounded to three decimal places)Then, we have to find the margin of error that is, the maximum distance between the point estimate and the confidence interval limits.

We can do that with the help of the following formula:margin of error = critical value × standard errorThe critical value can be found in the z-table or t-table, depending on the sample size. Since we do not know the population standard deviation, we can use the t-distribution. The degrees of freedom are n − 1 = 1666 − 1 = 1665.Using the t-table with degrees of freedom 1665 and level of significance α = 0.05, the critical value is:t* = 1.96 (rounded to two decimal places)The standard error can be calculated using the following formula:standard error = √[(p-hat (1-p-hat))/n] = √[(0.057(1-0.057))/1666] ≈ 0.0083 (rounded to four decimal places)Finally, we can calculate the confidence interval using the following formula:confidence interval = point estimate ± margin of error confidence interval = 0.057 ± 1.96(0.0083) = (0.0525, 0.0635)The 95% confidence interval for the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

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The number of next 14 students that will be expected to be adults education students would be = 7 adult education students.

An adult education student is the student that is undertaken by individuals that are mature men and women who take course for continuing education.

The first enrollment consist of the following;

Adult education student = 18

other = 18

Total for first enrollment = 18+18 = 36

If first 36 enrolled students = 18 adult students

second 14 enrolled students = X adults

Make X the subject of formula;

X adults = 14× 18/36

= 252/36

= 7

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To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

a) £60

b) 6 weeks

Step-by-step explanation:

Phil is paid £240 per week

He saves 1/4 ie., 1/4 x 240 = 60

Cost of new bike = £349

No. of weeks savings = 349 / 60 = 5.816666 werks

Answer:

Step-by-step explanation:

2A:3B

= 5:6

3B:2C

= 36:15

A:C

= ?:?

2A/3B x 3B/2C

=5/6 x 36/15

=1/1 x 6/3

=1/1 x 2/1

=2

3B and 3B got canceled

For 2A and 2C, the 2 in front of A and C, got canceled as we are cross multiplying.

So I think the answer is

A:C

=1:1     ??

My answer could be wrong.

Kylie gets an interest of $214.48.

What do you mean by interest?

In the fields of finance and economics, interest is the payment of a sum over and above the principle amount to a lender or depositor by a borrower or deposit-taking financial institution at a set rate. Interest is not the same as a charge that the borrower could pay to the lender or another entity. Additionally, it differs from a dividend, which is a payment made to shareholders from a company's profit or reserve, but not at a set rate predetermined in advance, but rather on a pro rata basis as a portion of the rewards received by risk-taking business owners when revenue earned exceeds all costs. In contrast to profit, which is obtained by the owner of an asset, investment, or business, interest is paid to the lender.

Interest earned by Kylie = (55x7)/(100x12) x 681

                                         = 218.48

Hence, Kylie gets an interest of $218.48.

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If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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Answer:

the domain is continuous

Step-by-step explanation:

hope this helps :)

The charted values that originate in a worksheet are called Chart Data Sources.

Charted values that originate in a worksheet are called Chart Data Sources. Chart Data Sources refer to the source data used to construct a chart in a spreadsheet program like Microsoft Excel. This data is usually contained in the worksheet cells and ranges used to plot the chart. The chart will then be updated as the data changes in the spreadsheets. Chart Data Sources can also refer to external data sources like databases, text files, or web services.

Therefore, the charted values that originate in a worksheet are called Chart Data Sources.

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Answer:

In an equilateral triangle, all three sides are the same length. An equilateral triangle is always equiangular. In an isosceles triangle, two sides are the same length. An isosceles triangle may be right, obtuse, or acute.

Step-by-step explanation:

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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