help me pls help help

The probability that the committee includes all 3 women is 0.00018

In this question, we have been given there are 97 men and 3 women in an organization.

A simple random sample of 5 people is taken to form a committee.

We need to find  the probability that the committee includes all 3 women.

Total number of people in the organization: 97 + 3 = 100

Usinng combination formula the possible number of 5 people committee:

100C5

= 100! / 5!(100 - 5)!

= 75287520

The number of outcomes for the committee includes all 3 women would be:

5C3 = (97C2)*3

       = 13968

So, the probability that the committee includes all 3 women would be,

P = 13968 / 75287520

P = 0.00018

Therefore, the required probability is 0.00018

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The vertex domain of g(x)=|X-7| is (7,0) (-∞,∞) and (0,∞) and the function f(x)=|x| is vertically shifted.

Hence, The vertex domain of g(x)=|X-7| is (7,0) (-∞,∞) and (0,∞) and the function f(x)=|x| is vertically shifted.

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Answer:

22 divided by 2 is 11

Step-by-step explanation:

1000b + 2500p = 60,000

1000b + 2500(10) = 60,000

1000b + 25000 = 60,000

1000b = 35,000

b = 35

they need to sell 35 basic packages to reach their goal of 60,000 dollars

First:

Quotient: [tex]2x^{2} -11x+58[/tex]

Remainder: [tex]-294[/tex]

Second:

Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]

Remainder: [tex]422[/tex]

Third:

Quotient: [tex]2x-3[/tex]

Remainder: [tex]12[/tex]

Answer:

(f ○ g)(x) = 3x² + 5

Step-by-step explanation:

substitute x = g(x) into f(x) , that is

(f ○ g)(x)

= f(g(x))

= f(x² + 2)

= 3(x² + 2) - 1

= 3x² + 6 - 1

= 3x² + 5

The required percent decrease in the price of the skateboard is 40%.

What is the percentage?

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here, we have

Original price = $84.50

sale price = $50.70

Percent decrease = 84.50-50.70/84.50 × 100 = 40%

Hence, the required percent decrease in the price of the skateboard is 40%.

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Answer:At the rate of 15% the amount of interest on $2000

Step-by-step explanation:

simple amount= Principle(1+rt)

where r= rate of inetrest

t= time

principal is initial amount

therefore, amount=2000(1+15*1)

Amount = $2,300.00

Interest = Amount - Principal = $300.00

Answer:

Step-by-step explanation:

Interest = Principle * Rate * Time /100

Principle =  $2000

Rate = 15 %

Time =  1 year

I = 2000 * 15 * 1/100

I = 300

Juan has to pay $300 in a year

The force on the object is 40N

Force can be described as the influence that can change the motion of an object.

It is seen as an external agent having the capability of changing a body's state of motion or rest.

It causes b in velocity of an object with mass , that is,  to accelerate. Force can also be described as either a push or a pull.

It is described as a vector quantity, that is, it has both magnitude and direction.

The formula for determining force is given as;

F = ma

Where;

Substitute the values

F = 10(4)

F = 40N

Hence, the value is 40N

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The x-intercept and y-intercept of the line will be at (24, 0) and (0, 6). And the line is drawn below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

The linear equation is given below.

y = -(1/4)x + 6

Convert the equation into intercept form, then we have

y = -(1/4)x + 6

4y = - x + 24

x + 4y = 24

x / 24 + y / 6 = 1

The x-catch and y-capture of the line will be at (24, 0) and (0, 6) and the line is drawn underneath.

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A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground, the height to which the ladder will reach the wall is 9.456 foot.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is a term used to describe everything that may be measured vertically, high or low.

From the lowest to the highest point to the lowest point, it calculates the vertical distance. In general, it refers to a coordinate geometry object's measurement along the y-axis.

let, h = height of ladder

Given that,

length of ladder = 12 ft

angle with the ground = 52°

As we know,

sinθ = h/12

or, sin (52°) = h/12

or, 0.7880 = h/12

or, h = 9.456 foot.

the height to which the ladder will reach the wall 9.456 foot.

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The measure of the angle x would be 30.26°.

What are inverse trigonometric functions?

Inverse trigonometric functions are functions that "undo" the action of the trigonometric functions. They allow us to find the angles of a right triangle given the values of the sides, or to find the values of the sides given the angles.

In the given triangle, by using sine ratio we can write

        sin(x°) = BC/AC

       [tex]sin(x^o)=39/74\\\\x^o=sin^{-1} \frac{39}{74}\\\\x^o=sin^{-1}{0.5270}\\\\x^o=30.26^o[/tex]

Hence, the measure of the angle x would be 30.26°.

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An isosceles triangular prism, its surface area becomes: 568 feet²

The faces of a polyhedron called an isosceles triangular prism are made up of polygons. It has six edges, five faces, and five vertices. Isosceles triangles make up the two portions at the base that face each other and rectangles make up the vertical faces of the five faces.

where the isosceles triangle's base has equal sides measured in "a" units, each triangle's base measured in "b" units, the triangle's height measured in "h" units, and the length of the congruent rectangles measured in "l" units.

The surface area of an isosceles triangular prism is:

Surface area = (b × h) + (2× l × a) + (l × b)

here, b = the base of each of the triangle = 16 feet

h = the height of the triangle = 18 feet

l = length of the congruent rectangles = 10 feet

a = isosceles triangle in the base have the equal sides be "a" units = 6 feet

Now, Surface area = (16 × 18) + (2 × 10 × 6) + (10 × 16)

or, Surface area = 568 feet²

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The equation of the parabola that has a vertex  (-3,4) and passes through  (2,8) is 25y = 4x² + 24x + 13.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the DirectX and focus, respectively.

Given:

The vertex = (-3, 4) and the point = (2, 8)

Write the equation using the standard form given below,

[tex]y = a (x - h)^2 + k[/tex]

y = a[x - (-3)]² + 4

y = a(x + 3)² + 4

Now put the coordinates,

8 = a (2 + 3)² + 4

8 = 25a + 4

a = 4 / 25

Put the value of a in the above equation,

y = 4/25 × (x + 3)² + 4

25y = 4 (x² + 9 +6x) + 100

25y = 4x² + 36 +24x + 100

25y = 4x² + 24x + 13

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Answer:

Step-by-step explanation:

I am not super sure about this one

the inequality model will be x+2y<19

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

x + y > 11

.05x + .10y < .95

by multiplying 20 in inequality we get x+2y<19

Hence, the inequality model will be x+2y<19

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The labeled quadrants in the standard xy coordinate plane is Quadrant II

What is Quadrants?

The intersection of the x-axis (the horizontal number line) and the y-axis in the cartesian system divides the coordinate plane into four equal pieces (the vertical number line). Because each of these four areas occupies a quarter of the entire coordinate plane, they are collectively referred to as quadrants.

Concept:

The x and y coordinates are both positive in quadrant I. In quadrant II, the x and y coordinates are oppositely positive. The x and y coordinates are both negative in quadrant III. The x-coordinate is positive and the y-coordinate is negative in quadrant IV.

The origin, or the point where the x- and y-axes connect, is where both the x and y coordinates are zero (0, 0).

The point is in the first quadrant if both x and y are positive. If both x and y are negative, the point will be in the second quadrant. In the third quadrant if both x and y are negatives, the point is located.

The labeled quadrants in the standard xy coordinate plane is Quadrant II

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The cost of one liter of washing up liquid would be = $1.8

Liters is a variable that is can be used to denote the measurement of a liquid.

The quantity of the washing up liquid that was given= 1.5 liters.

The cost of 1.5 liters of washing up liquid =$2.70

If 1.5 L = 2.70

1 L = X

Make X the subject of formula;

X = 1× 2.70/1.5

X = $1.8

Therefore, the cost of one liter of washing up liquid would be = $1.8

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The word problem 4 and one tenth times negative 4 times 5 over 12 have a product of negative 8 and one fifth

Multiplication is one of the basic mathematical operator which is used to solve the given problem. It is the inverse of division. the result of multiplication is called the product

Rewriting the word problem 4 and one tenth times negative 4 times 5 over 12 to figures

4 1/10 * -4 * 5/10

solving the equation

= 4 1/10 * -4 * 5/10

= 41/10 * -4 * 5/10

= -41/5

= -8 1/5

The product of the multiplication is negative 8 and one fifth

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Answer:

Step-by-step explanation:

Answer:

-3.5(x-14)+9x=5.5x + 49 is a TRUE statement that equals 0. It has infinite solutions.

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x

Let’s simplify this equation:

25x + 5 =26x

-25x -25x

5 = x

Therefore, x = 5.

The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273

In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.

we need to find  the approximate mean and standard deviation of the number of chips meeting specifications

Since 90% meet specifications we can say p = 0.9

So, q = 1 - p

q = 1 - 0.9

q = 0.1

here,  a sample size is n = 18

So, the mean would be,

μ = np

μ = 18 * 0.9

μ = 16.2

And the standard deviation would be,

σ = √npq

σ = √(18 * 0.9 * 0.1)

σ = 1.273

Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273

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Answer:

y=5x−2

I hope this helps!

Therefore , the probability that she selects none of those containing errors is 0.6798.

Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.

Here,

Number of ways of selecting 3 returns out of 59 is C(59,3).

Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).

The probability that she selects none of those containing errors is

P( No errors )=[tex]\frac{C(52,3)}{C(59,3)}[/tex]=0.6798

Therefore , the probability that she selects none of those containing errors is 0.6798.

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The expression in terms of xx that represents the total amount that Hailey paid is (2912/625)xx .

What is business Mathematics?  

Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.

According to Question:

let the the subtotal on the bill was xx dollars

A tax of 8% is added on bill then Bill becomes xx + 8% of xx

The of 8% on bill = (108/100)xx

Now the Final bill = xx + (108/100)xx

                    = (208/100)xx

Hailey decides to leave a tip of 24% on the entire bill (including the tax)

So the Total Amount = (208/100)xx + 24% of Final bills

⇒

24% of (208/100)xx = (208/100)(124/100)xx

The Total amount = (208/100)xx +(208/100)(124/100)xx

Let the Amount be A

hence, expression in terms of xx that represents the total amount that Hailey paid is A = (208/100)xx +(208/100)(124/100)xx

⇒ A = (52/25)xx +(52/25)(31/25)xx

⇒ 625A = 625((52/25)xx +(52/25)(31/25)xx)

⇒ 625A = 1300xx + 1612xx

⇒ 625A = 2912xx

⇒ A = (2912/625)xx

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Answer:

its d I did the test hope its helps

By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.

What does testing your hypotheses mean?

To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.

               First, a hazy assumption about the parameter or distribution is made.

What is hypothesis testing, and how can it be used?

A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.

                     The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.

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Answer: A

Step-by-step explanation:

Before we find the equation of the perpendicular line, we have to find the slope of the original line.

The slope-intercept form of the equation is y=mx+b, so let's change that.

[tex]-2x+3y=-6[/tex]            [add both sides by 2x]

[tex]3y=2x-6[/tex]                  [divide both sides by 3]

[tex]y=\frac{2}{3} x-2[/tex]

This gives slope as [tex]\frac{2}{3}[/tex].

There are 2 things for us to do to find the slope of a perpendicular line.

1. reciprocal

2. change sign

Let's apply those rules.

1. [tex]\frac{3}{2}[/tex]

2. [tex]-\frac{3}{2}[/tex]

Now, we can find the perpendicular lines by plugging in our new point.

[tex]y=-\frac{3}{2} x+b[/tex]          [plug in x and y]

[tex]-1=-\frac{3}{2}(6)+b[/tex]     [multiply]

[tex]-1=-9+b[/tex]          [add both sides by 9]

[tex]b=8[/tex]

Now we can plug in for our slope-intercept equation.

[tex]y=-\frac{3}{2} x+8[/tex]

Since answers are in standard form, we have to manipulate it.

[tex]y=-\frac{3}{2} x+8[/tex]        [add both sides by [tex]\frac{3}{2} x[/tex]]

[tex]\frac{3}{2}x+y=8[/tex]            [multiply both sides by 2]

[tex]3x+2y=16[/tex]

Therefore, our final answer is A.

Answer:

10 years old

Step-by-step explanation:

The equivalent ratios to tan F = EL/ EF = OS/OJ

Similar triangles are those with the same shape but different sizes. Similar triangles include all equilateral triangles and squares with any side length.

All related pairs of angles will be equal and corresponding sides of similar triangles will have the same ratio. The symbol '∼' is used to represent the similarity.

Given that

△FEL∼△JOS

That means △FEL and △JOS are similar triangles

As we know tan θ = Opposite side / Adjacent side

From the triangle △FEL,

=> tan F = EL/EF      

By the given information,

The similar triangle's corresponding sides will have the same ratio  

=> EL/ EF = OS/OJ

Therefore

The equivalent ratios to tan F = EL/ EF = OS/OJ

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