Pls helppp it’s timed

As per the combination method, there are 120, 5 length m words can be formed from an n-letter alphabet, if no letter is used more than once.

Combination method:

in statistics, mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter is known as combination method.

Given,

Here we need to find how many length m words can be formed from an n-letter alphabet, if no letter is used more than once.

Let us consider letters (a,b,c,d,e) how many distinct n length words can be formed.

Here we note that every word can contain same letter m times at most.

So, it can be calculated as,

=> 5 x 4 x 3 x 2 x 1

=> 120

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fog(x) =4x²+44x+12,

f(x) is quadratic function  whose value is x²+6x -4 at x.

so , we have asked the value of f(x) at x=g(x) , which another function whose value is 2x-8 .

so, by the concept of composition of functions we have to put the value 2x-8 in place of x in the f(x) function to get fog(x).

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The probability that it was that of a male is 2/5 .

This problem of probability can be solved using Baye's Theorem . In simple terms , Bayes' Theorem states that the conditional probability of an event, based on the occurrence of another event, is equal to the likelihood of the second event given the first event multiplied by the probability of the first event. Hence , proceeding accordingly -
Given in the question is :

P(Males reacting negatively = M) = 1-40%= 60% = 60/100

P(Females reacting negatively = F) = 1-70%= 30% = 30/100

Now , P(Females' response being selected= f) = 15/20
P(Males' response being selected = m ) = 5/20
P(M/m) = P(M) P(m)/ P(M) P(m) + P(F) P(f)
⇒ 5/30 × 60/100 ÷ 5/30 × 60/100 + 15/20 × 30/100

⇒ 300/300+450
⇒ 300/750

⇒ 2/5
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the answer is 1

Step-by-step explanation:

The Insurance policy's anticipated value in this case is -20.

What is Insurance?

Insurance is a tool for risk management. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.

Given,

Man pays -118 for one year

coverage = 140000

probability = 0.9993

The method used to calculate the insurance policy's expected value is:

= Chance that he won't live to see the end of the year * Coverage value - The cost of the insurance

= (1 - 0.9993)*140,000 - 118

= -20.

In this situation, the man's insurance coverage is expected to be worth -20.

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Answer:

f(x)=x^3 - 13x^2 + 40x + 17

Step-by-step explanation:

x-0=0    x-5=0       x-8=0

  x=0        x=5           x=8

y=x(x-5)(x-8)+b  ==> b is what's going to be used to find the equation so that

                                y=17 when x=0

17=0(0-5)(0-8)+b  ==> plugin 0 for x and 17 for y

17=0*(-5)*(-8)+b  ==> simplify

17=0+b  ==> anything multiplied by 0 is 0.

b=17  

Hence, the equation is:

y=x(x-5)(x-8)+17  ==> expand this equation

y=x*(x-5)(x-8) + 17

y=x*(x(x - 8) - 5(x - 8)) + 17  ==> distribute x-8 to x and -5

y=x*(x*x - 8x - 5x - (8)(-5)) + 17  ==> distribution property

y=x*(x^2 - 13x - (-40)) + 17   ==> simplify

y=x*(x^2 - 13x + 40) + 17  ==> subtracting a negative number is equivalent to

                                              adding a positive number

y=x^3 - 13x^2 + 40x + 17 ==> multiply x with x^2, 13x, and 40 using the

                                              distribution property.

Answer: f(x)=x^3 - 13x^2 + 40x + 17

Answer: Okay, lets explain.

Step-by-step explanation:Since 0, 5 & 8 are given as the zeros of the required 3rd degree polynomial f(x), therefore, one may take it as ; f(x) =k (x-0)(x-5)(x-8)

= k(x³−13x²+40) …. .. .(1) . Since f(10) = 17 (given), it implies 17 = k(1000 -1300 + 400) = 100 ==> k = 17/100 = 0.17 . Put this value of k in eq(1) and get the required polynomial.

The amount of fencing feet the city needs to enclose the pond is 94.29 feet.

Perimeter can be defined the total distance around an object.

To calculate the amount of fencing the city needs to enclose the pond, we use the formula for the perimeter of a circle.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the feet of fencing needed is 94.29 feet.

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To simplify [tex]\frac{2-i}{5+i} = \frac{9}{26} -\frac{7}{26} i[/tex] , multiply the numerator and denominator by the conjugate of the denominator.

A complex number's conjugate A+bi equals a-bi. A real number is the result of a complex number and its conjugate. That fact will be used here.

[tex]\frac{2-i}{5+i} =\frac{2-i}{5+i} . \frac{5-i}{5-i}[/tex]

[tex]= \frac{(2-i)(5-i)}{(5+i)(5-i)}[/tex]

[tex]=\frac{10-2i-5i-1}{25-5i+5i+1}[/tex]

[tex]=\frac{9-7i}{26}[/tex]

[tex]=\frac{9}{26}-\frac{7}{26}i[/tex]

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In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.

In the given question, the issue of capital punishment is a hotly debated topic.

Do more republicans than democrats support capital punishment?

A researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment.

In this problem, we want to make inferences about:

A. one mean

B. comparing means from dependent samples

C. comparing means from two independent samples

D. one proportion

E. comparing proportions from two independent samples

F. comparing proportions from dependent samples

As we know that,

A hypothesis test can assist in figuring out whether a variation in the estimated proportions actually reflects a variation in the population proportions. An approximation of the normal distribution is shown by the difference between two proportions. The null hypothesis often argues that the two proportions are equal.

So, a researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.

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The height of the trapezoid is 5mm.

A trapezoid is a quadrilateral in American and Canadian English that has at least one pair of parallel sides. It is referred to as a trapezium in British and other varieties of English.

In Euclidean geometry, a trapezoid is invariably a convex quadrilateral. The trapezoid's parallel sides are referred to as its bases. If the remaining two sides are parallel, the trapezoid is a parallelogram and has two pairs of bases; if not, they are referred to as the legs (or lateral sides). A scalene trapezoid is a trapezoid without equal-sized sides.

Given: Area of trapezoid = [tex]35mm^{2}[/tex]

We know, area of trapezoid = [tex]\frac{(a+b)}{2} .h[/tex]

⇒ [tex]\frac{(8+6)}{2} .h=35[/tex]

⇒ [tex]7h=35[/tex]

⇒ [tex]h=5mm[/tex]

Hence, the height of the trapezoid is 5mm.

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Answer: 4) 3x²-14x+14

Explanation:

Use the binomial theorem (a−b)² = a² - 2ab + b² to expand (x-2)².

Use the distributive property to multiply 3 by x²-4x+4.

Use the distributive property to multiply −2 by x−1.

Combine −12x and −2x to get −14x.

Add 12 and 2 to get 14.

It is 3x²+14x+14, the trinomial equivalent to 3(x-2)²-2(x-1). OPTION 4.

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

m = (y2 − y1) / (x2 − x1)

If the graph of a line rises from left to right, the slope is positive.

What is slope ?

Slope is a ratio and can have a value that is positive, negative, equal to zero, or undefined. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run".

What is positive slope ?

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises. We will learn in other sections that “price” and “quantity supplied” have a positive relationship; that is, firms will supply more when the price is higher.

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

m = (y2 − y1) / (x2 − x1)

If the graph of a line rises from left to right, the slope is positive.

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The equation is y = (5/3)x. Then the cost of the 12 yards of fabric will be $20. Then the correct option is B.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The two points are (3, 5) and (6, 10).

Let 'x' be the number of yards of fabric and 'y' be the cost in dollars. Then the equation is given as,

(y - 5) = [(10 - 5) / (6 - 3)](x - 3)

y - 5= (5/3)x - 5

y = (5/3)x

The cost of the 12 yards of fabric is given as,

y = (5/3) × 12

y = 5 × 4

y = $20

The equation is y = (5/3)x. Then the cost of the 12 yards of fabric will be $20. Then the correct option is B.

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Answer:

360 inches.

Step-by-step explanation:

because 1 yard is 36 inches (3 rulers) so just multiply 36 by your number of yards.

Step-by-step explanation:

how to simplfy the fifth root

There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The correct option is (b)

Now, According to the question:

In this problem, we have the following hypothesis:

[tex]H_0[/tex] : μ [tex]\geq[/tex] 0.59

[tex]H_\alpha[/tex] : μ < 0.59

The null hypothesis is the prevailing claim which the study is testing, and the alternative hypothesis is what the study is trying to prove. The null hypothesis can either be rejected or not rejected by a sample study. A sample study cannot say that the claim is absolutely correct. Only a count of the whole population can do that, and that could change at any time. In this study, the null was not rejected. The study did not have enough evidence to reject the null.

Hence, There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

The correct option is (b)

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The complete question is this:

A newsletter publisher believes that less than 59% of their readers own a Rolls Royce. For marketing purposes, an advertiser wants to confirm his claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis.

What is the conclusion regarding the publisher's claim? Select one:

a) There is sufficient evidence at the 0.02 level of significance that the percentage is less than 59%.

b) There is not sufficient evidence at the 0.02 level of significance to say that the percentage is less than 59%.

Answer:

yellow = red - 3 and green = yellow x 2 and red = yellow + 3

or

green= (red-3) x 2

Step-by-step explanation:

Three fewer yellow than read is the same as saying red -3

twice as many green as yellow is the same as yellow x 2

if green is yellow x 2 you can substitute yellow for the equation to find yellow

you can flip the equation for yellow around by doing inverse operations. To have the equation equal red you need to move the three by doing its inverse. The opposite of subtraction is addition so you'd add 3 to each side, getting rid of the -3 and isolating the red to make the equation red=yellow+3

She needs 50 successful serves in the first 100 to attain her target. A 2% chance exists that this will occur.

She therefore has a 98% chance of requiring more than 100 serves to achieve her objective.

The study of probability, which is the potential of any event happening, is a field of mathematics that deals with the occurrence of random events. The probability value is given on a scale from 0 to 1.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

Jo must not complete 50 successful serves in her first 100 attempts in order to need more than 100 serves.

With n=100 and p=0.4, our probability sample of potential outcomes has a binomial distribution.

We will use a normal distribution to approximate n because it is a big enough number. The normal distribution's characteristics are as follows:

To ensure that she receives more than 100 serves, we must determine the likelihood that there will be fewer than 50 successful services. Such is:

We determine X's z value as follows:

Next, we have

That indicates that there is a 98% chance she will require more than 100 serves to accomplish her objective.

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The value of x in the first question is 11 and the value of y is 3.

The value of x in the second question is 4 and the value of y is 4.

The value of x in the third question is -5 23/26 and the value of y is -1/13

2x + y = 25 equation 1

2x - 3y = 13 equation 2

The first step is to subtract equation 2 from equation 1:

-4y = -12

Divide both sides of the equation by -4

y = -12 / -4

y = 3

Substitute for y in equation 1:

2x + 3 = 25

2x = 25 - 3

2x = 22

x = 22 / 2

x = 11

-3x + 4y = -18 equation 1

x = -2y - 4

x + 2y = -4 equation 2

Multiply equation 2 by 2

2x + 4y = -8 equation 3

Subtract equation 3 from equation 2:

-5x = -20

Divide both sides of the equation by -5

x = -20 / -5

x = 4

Substitute for x in equation 2:

4 + 2y = -4

4 + 4 = 2y

8 = 2y

y = 8/2

y = 4

-2x + 3y = -15 equation 1

3x + 2y = -23 equation 2

Multiply equation 1 by 3 and equation 2 by 2

-6x + 9y = -45 equation 3

6x + 4y = -46 equation 4

Add equation 3 and equation4 together

13y = -1

y = -1/13

Substitute for y in equation 1:

-2x + 3(-1/13) = -15

-2x  -3/13 = -15

-2x = -15 + 3/13

-2x = 11 10/13

x = 11 10/13 ÷ -2

x = 153/13 x -1/2

x = -153/26

x =-5 23/26

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The given rational number 1/4 in the decimal form is 0.25 which is to the nearest thousandths.

We shall represent this as 1.5 pizzas in decimal form.

In this case, the dot stands in for the decimal point, the number before the dot, in this case, "1," represents one entire pizza, and the number after the decimal point, or the fractional component, represents the other half of the pizza.

So, we have the rational number:

1/4

Convert to decimal as follows:

1/4 = 0.25

Rounding off to the nearest thousandth: 0.2500 ⇒ 0.25

Therefore, the given rational number 1/4 in the decimal form is 0.25 which is to the nearest thousandths.

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Answer:

x=2

Step-by-step explanation:

7÷x=22÷6

cross multiply

7×6=21×x

21x=42

21x/21=42/21

x=2

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Amount to earn = $280

Grocery store:

Earnings per hour = $8

1 hour = $8

Multiply 280/8 on both sides.

280/8 x 1 hour = $280

35 hours = $280

Library:

Earnings per hour = $10

1 hour = $10

Multiply 280/10 on both sides.

28 hours = $280

We see that,

Working in the Library would make $280 in fewer hours than working in the grocery store.

Thus,

The fewest number of hours he would need to work to reach his goal of $280 is 28 hours working in the library.

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Answer:

nnnn

Step-by-step explanation:

hh

The conventional form of the polynomial is f(x)=x 28x+17. If polynomial function f has rational coefficients and a leading factor of 1, then it has the lowest degree.

A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses quasi integer powers or only positive integer coefficients of a variable. A polynomial with an exponent of 1 is, for instance, 2x+5.

As conjugate pairs make up complex zeros, we can infer that 4-i4-i is also a zero from the fact that 4+i4+i is also a zero.

A polynomial function's factor x-axa is one of the factors if aa is its zero. Consequently, the polynomial function is

f(x)=a[x-(4+i)] [x-(4-i)]

f(x)=a[x−(4+i)]

[x−(4−i)]

Expand:\sf(x)=a[x^2-(4-i)

x-(4+i)x+(4+i)(4-i)]

F(x) = a [x 2 (4i)x(4+i)x+(4+i)(4i)]

f(x)=a[x^2-4x+ix-4x-ix+

(16-i^2)]

F(x) = a [x 2 4x+ix4x+ix+(16i 2)]

f(x)=a[x^2-8x +(16-(-1))]

f(x)=a[x 2 −8x+(16−(−1))]

f(x)=a(x^2-8x +17)

f(x)=a(x 2 −8x+17)

Considering that a=1a=1 is the leading coefficient, this means:

color="#c34632" f(x)="x2-8x +17"

f(x)=x 2 −8x+17

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The possible formula for polynomial is P(x)=x⁵+3x⁴-9x³+5x²

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given,

The polynomial of degree 5.

P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0, and a root of multiplicity 1 at x=−5

Each root corresponds to a linear factor, so we can write

P(x)=x²(x-1)²(x+5)

=x²(x²+1-2x)(x+5)

=(x⁴+x²-2x³)(x+5)

=x⁵+x³-2x⁴+5x⁴+5x²-10x³

=x⁵+3x⁴-9x³+5x²

Hence, the possible formula for polynomial is P(x)=x⁵+3x⁴-9x³+5x²

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Meiosis causes the cell to divide instead of makeing new cells.

Cells are the fundamental building blocks of all life. Trillions of cells make up the human body. They support the body's structure, absorb nutrients from food, convert those nutrients into energy, and perform specialized functions.

Meiosis is a type of cell division that occurs in sexually reproducing organisms and results in a reduction in the number of chromosomes in gametes; he sex cells, or egg and sperm. Body or somatic cells in humans are diploid, with two sets of chromosomes one from each parent.

It should be noted that meiosis is a type of cell division of germ cells that produces gametes such as sperm or egg cells in sexually reproducing organisms. It consists of two rounds of division that result in four cells with only one copy of each chromosome.

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The expression is x-12.

12 less than a number means subtracting 12 from that number.

So, 12 less than 20 is 8, because is 20−12, 12 less than 12 is 0, because it's 12−12, and so on.

But since the number you need to subtract from is unknown, it's a variable, and you can call it as you like, suppose x. So, using the variable we can write an expression that holds for any number, which always means "take 12 away from my number". If your number is x, the expression would be x-12

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Using the Pythagorean Theorem, the length of the base is: 15 units.

The Pythagorean theorem is used to find any of the length of the legs or hypotenuse of a right triangle if we know any two measures of its side. The theorem is given as: the square of the hypotenuse = sum of the squares of the legs of the right triangle.

It can be expressed as c² = a² + b², where c is the longest side of the right triangle.

Note: The hypotenuse is the longest side of the triangle.

Thus, given the triangle in the image below, where:

c = 25

a = 20

b = length of the base

The expression that would be appropriate for this situation would be written based on the Pythagorean Theorem, which is:

b = √(c² - a²)

Substitute

b = √(25² - 20²)

b = 15 units

The length of the base is: 15 units.

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