a large company states in their promotional literature that 80% of their employees have college degrees. if 5 employees are selected at random from this company, what is the probability that all 5 will have college degrees? 0.0003 0.3277 0.6723 0.9997

Answer:

Step-by-step explanation:

Let the height be h units

then the base is h+3 units

Area = (1/2)(base)(height)

= (1/2)(h)(h+3) or (1/2)(h^2 + 3h)

The smallest possible value is 44%.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. 

Given that,

If only three persons are running for the office and the third-place candidate received 28 votes and the second-place candidate received 98 votes, the winner could have received only 99 votes.

In this case, the total number of votes cast would be 28 + 98 + 99  =  225 votes.

The percentage for the winning candidate would be:  99 / 225  =  44%

Therefore, the smallest possible value of x is 44%.

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Answer:3

Step-by-step explanation:

Answer: the answer is 3

Step-by-step explanation:I  did the dividing on paper  and the answer is 3

The profit in 1973 is 5.56 which is estimated by the given linear model.

The regression equation is used to predict or estimate the value of the response (or dependant) variables based on an understanding of the explanatory (or predictor) variables.

Let Y represent the profit (or loss) for a certain company X years after 1970. Based on the data shown, a statistician calculates a linear model

Y = -0.80X + 7.96 ....(i)

Using the above model to estimate the profit in 1973

Substitute the value of X = 3 in the equation (i),

Y = -0.80(3) + 7.96

Y = -2.4 + 7.96

Y = 5.56

This is the profit in 1973.

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Step-by-step explanation:

a) 2x - 7

because "seven less than twice a number". if it says "seven less twice a number" it would be 7 - 2x.

b) x/2 + 4

c) (x - 6)y

the comma after "six" is important. without it it should be x - 6y

d) x + 2/3

The horizontal asymptote is y = -2

What do you mean by asymptote?

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance. In other words, Asymptote is a line that a curve approaches as it moves towards infinity. The curves visit these asymptotes but never overtake them.

The horizontal asymptote is an equation of the form y = k, for some constant k, is a straight line parallel to x-axis.

Horizontal asymptotes are found for rational functions of polynomials when x becomes extremely large, or, as x → ∞.

The function given is, f(x) = (-2x²+3x+5)/(x²+1)

Horizontal asymptote is given by

y   = -2

So the horizontal asymptote of f(x) is, y = -2

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The bus 2 will pass bus 1 at 12.30 pm, when both are at 360 miles.

The bus 1 starts half hour earlier than bus 2. But since bus 2 is faster, it will overtake at some point. At 8 am, bus 1 will start. By the time 8.30, it will cover a distance of 40 miles.

Bus 2 starts at 8.30, So it will be at 0 miles.

By 10, the bus 1 will be at 160 miles, bus 2 at 135 miles

By 10.30, the bus 1 will be at 200 miles, bus 2 at 180 miles.

By 11.30, bus 1 will be at 280 miles, bus 2 will be at 270 miles

By 12.30, bus 1 will be at 360 miles, bus 2 will be at 360 miles.

So at the 360 the, the both the buses passes each other.

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The lengths of q and r are 2.5 , 2.5 respectively if the perimeter of an isosceles triangle pqr is 9 cm.

A triangle can be defined in which it consists of three sides , three angles and the sum of three angles is always 180 degrees.

here, Given that,

The perimeter of an isosceles triangle (2 equal sides) pqr is 9 cm.

the length of side p is 4 cm

Let the lengths of q and r are x and y respectively.

The perimeter of an isosceles triangle  =  (p+2q)

So,

p+2q = 9

4+2q = 9

2q = 9-4

2q = 5

q = 5/2

q = 2.5 cm

Hence , the lengths of q and r are 2.5 , 2.5 cm respectively .

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The equation that shows the relationship b/w x and y is

y= 3x

Generally, An equation is a mathematical statement that demonstrates that two mathematical expressions have the same value. This is the most basic version of the definition of an equation in algebra. For example, the phrase "3x + 5" = 14 is an equation, in which the two expressions "3x + 5" and "14" are separated by the symbol for "equal."

A mathematical expression is considered to be an equation if it includes the equals sign (=). Equations often use algebraic notation. Mathematicians turn to algebra when they are unsure about the value of a certain number in a computation.

In mathematics, an equation is represented by the conjunction "=", which is placed between two expressions. The "left-hand side" and "right-hand side" of an equation refer to the expressions that are located on the left and right sides of the equals sign, respectively.

Since Sipho’s mum will double the amount saved

let the amount saved be x

Therefore the equation for the total amount will be

y=x+2x

simplfing

y=x(1+2)

Therefore

y = x + 2x

y= 3x

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The width of the rectangle is given as Area/length = 32xy³/l units.

A quadrilateral with four right angles is a rectangle. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

Rectangles have the following basic characteristics:

The area of the rectangle is 32xy³

The length of the rectangle is l units

So, the width of the rectangle is given as Area/length = 32xy³/l units.

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In the question, diagram is not given, so that a rough diagram is given for reference.

The sequence is a function because each rule produces one output for each input, hence option C is the correct answer.

A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.

Given sequence, 10..6, 11.8, 13 has a common difference between all the consecutive terms, that is, 12.

Hence, the sequence represents a linear function.

Since, the sequence is a linear function, every input will produce an output according to the rule.

Hence, the sequence is a function because each rule produces one output for each input, hence option C is the correct answer.

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The difference in the account balance after 30 years is $345.31.

What is compounded continuously?

Theoretically, continuously compounded interest means that an account balance continuously earns interest as well as reinvesting that interest into the balance so that it too earns interest.

Given:

A business owner invested $7,000 in a treasury bond paying 4.3% compounded semiannually.

After 30 years, the value of the bond will be $25,084.20.

The business owner's investment was compounded continuously instead of twice per year.

We have to find the difference in the account balance after 30 years?

Consider, the compounded continuously formula,

[tex]A = Pe^r^t[/tex]

Plug p = 7000

r = 4.3% = 0.043

t = 30

⇒ [tex]A = 7000e^(^0^.^0^4^3^*^3^0^) = 25429.51[/tex]

A = $25429.51

So, the difference is, $25429.51 - $25084.20 = $345.31

Hence, the difference in the account balance after 30 years is $345.31.

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Answer:

24-6v-24x

Step-by-step explanation:

(-4 +v + 4x) × (-6)

Apply the Distributive Property:

- (-6) × 4+ (-6) × v + (-6) × 4x

Determine the sign:

6 × 4 - 6v - 6 × 4x

Calculate the product or quotient:

24 - 6v -6 × 4x

Multiply the monomials:

24 - 6v - 24x

Hope this helps you :)

Answer:

24-6v-24

Step-by-step explanation:

first distribute -6 to all other numbers as shown below.

(-4 . -6)+(v . -6)+(4x . -6)

then we will get 24-6v-24x

The probability that the sample mean nicotine content is less than 0.77 is approximately 0.0003.

The probability that the sample mean nicotine content will be less than 0.79 can be found by using the Central Limit Theorem. The Central Limit Theorem states that the distribution of the sample means approaches a normal distribution as the sample size increases. Since the sample size is 100, we can assume that the sample means nicotine content is approximately normally distributed.

The mean of the sample means nicotine content is equal to the population means, which is 0.8 mg. The standard deviation of the sample means nicotine content is equal to the population standard deviation divided by the square root of the sample size. So, the standard deviation of the sample means nicotine content is 0.1 mg/sqrt (100) = 0.01 mg.

Using these values, we can find the probability that the sample mean nicotine content is less than 0.79 by using the standard normal distribution table or calculator.

z = (0.79 - 0.8) / 0.01 = -1

Using a standard normal table or calculator, P(z < -1) = 0.1587.

So, the probability that the sample mean nicotine content is less than 0.79 is approximately 0.1587.

Similarly, for the sample mean nicotine content less than 0.77

z = (0.77 - 0.8) / 0.01 = -3

P(z < -3) = 0.0003

So, the probability that the sample mean nicotine content is less than 0.77 is approximately 0.0003

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The complex conjugates for each of the following numbers

a. - 19 = -19

b. -25i = +25i

c. - 11 - 92i = 11 + 92i

d. 413i - 37 = -413i - 37

The term complex number in math is defined as the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number.

Here we have given that the list of complex number and here we need to find the complex conjugates for each of the following numbers:

As we all know that conjugate in Mathematics is formed by changing the sign of one of the terms in a binomial.

Based on the definition, here we have the general form a + bi as the conjugate as a - bi.

From this one we have identified that here we have only changed the sign of imaginary pat.

So, the complex conjugate of the given complex numbers are written as

=> a. - 19 = -19

Here we have only the number part so the sign remains constant

b. -25i = +25i

Here we have only the imaginary part so we have changed it to positive.

c. - 11 - 92i = 11 + 92i

Based on the complex conjugate rule the term must be changed.

d. 413i - 37 = -413i - 37

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Answer:

There are 60 pencils packed in 5 boxes.

Step-by-step explanation:

36/3 = 12

There are 12 pencils in each box

12 x 5 = 60

Answer:

60 pencils

Step-by-step explanation:

1 box = 36/3 =12

in 5 boxes=12*5=60

hope it helps

Answer:

y = -4x

Step-by-step explanation:

When equations are in the form

y = mx  the slope m (is y/x)

Answer:

A) I think that the answer is: 1x+3y=4x+1y

But I am not 100% sure so.

B) I don't know sorry  

Therefore, the answer to the above median problem is a) z-score = 1.50, b) age 34 has SD=1.5, and C. option B is correct.

The median value is the number that exactly lies in the middle of a dataset that has been arranged. The gap between the minimum and maximum 50% of the data is a maximum likelihood measure or average. Depending on whether you have an odd or possibly even amount of data points, different formulas are used to calculate the median and mode.

Here,

The average age is 36, it is stated.

2.5 standard deviations

a) The z-score is (34 - 28.3)/3.8 = 1.50.

b) Analysis

A 34-year-old is 1.50 standard deviations well above average in age.

c) The right answer is B.

Consequently, the provided issue of median's solution yields

Option B is right since age 34 has an SD of 1.5 and a C, and z-score is 1.50.

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Answer: A (yes) B (yes) C (yes)

Step-by-step explanation:

One half times by 28 is 14

seven times 8 is 56

15 plus 14 is 29

Answer:

There were 3 children in the room

Step-by-step explanation:

Let x be the number of children in the room

Since each child has 10 fingers including their thumbs, total number of fingers =10x

Each child has 2 ears so total number of ears = 2x

Since they had 24 more fingers than ears we get the equation:
10x - 2x = 24

8x = 24

x = 24/8 = 3

The squares represent a visual representation of equivalent fractions. Each square is divided into a certain number of equal parts, and the number of parts that are shaded in represents the numerator of the fraction. The total number of parts the square is divided into represents the denominator of the fraction.

In the first square, it is divided into 23 equal parts and 8 of them are shaded in. Therefore, the fraction represented by that square is 8/23.

In the second square, it is divided into 812 equal parts and 23 of them are shaded in. Therefore, the fraction represented by that square is 23/812. Since both squares are divided into the same number of equal parts, the fractions 8/23 and 23/812 represent the same quantity, just in different forms. Therefore, they are equivalent fractions.

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Answer:

1 foot 6 inches

Step-by-step explanation:

divide the length value by 12. Hope this helps.

The required z-score of the value 93 when the mean is 100 and the standard deviation is 3 is z = -2.3.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here,
z = x - μ / σ

Where,
μ = mean and σ = standard deviation

From the question substitute the value in the given above formula,
z = 93 - 100 / 3
z = -2.3

Thus, the required z-score of the value 93, when the mean is 100 and the standard deviation is 3 is z = -2.3.

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Answer: a. in the step by step explanation.  b. 20x - 15

Step-by-step explanation:

I think that Denise thought that the 5 only appplied to 4x since they were closer and since she multiplied them both, she thought there would be no use of it.

Example - 2 (3x+2)

                 2 x 3x = 6x

                 6x + 2

Of course this is wrong since the real answer should be 6x + 12 but someoneone like Denise may see it that way, only multiplying the ones closest and not opening it fully.

Answer:

1. 46/35 or 1 11/35

2. 5/4 or 1 1/4

3. 5/4 or 1 1/4

4. 7/3 or 2 1/3

Step-by-step explanation:

x 2, and the second side is expressed by  2x-25 , The value of x is 5.

What is isosceles triangles ?

An isosceles triangle is a triangle with two sides of equal length. These two sides are called the legs and they are congruent. The third side is called the base and it is not necessarily congruent to the legs. The angle opposite to the base is called the vertex angle.

To solve for x, we can start by isolating x on one side of the equation.

We can do this by subtracting x^2 from both sides ,

x^2 - x^2 = 2x-25 - x^2

we get 0 = 2x - 25 - x^2

Now we can add x^2 to both sides ,

x^2 = 2x - 25

Now we can move the -25 to the other side of the equation ,

x^2 - 2x + 25 = 0

Now we can factor the left side of the equation ,

(x-5)(x-5) = 0

Now we can solve for x by setting each factor equal to zero ,

x-5 = 0 , x = 5

x 2, and the second side is expressed by  2x-25 , The value of x is 5.

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Answer:

159

Step-by-step explanation:

The angle below is a co-interior angle

This means that both angle should add up to 180

Have a lovely day :)

Answer:

Step-by-step explanation:

Because we know that the two lines going diagonal are equivalent, we also know that they are parallel because equivalent lines have the same slope, meaning they are parallel. We also know that the two interior angles should add to 180. Follow the steps in the image for the rest.

-Hope this helped