There are 10 students in a class. 6 of them wear glasses. If a student is chosen at random from the class, what is the probability that they do not wear glasses? Give your answer as a decimal.​

Answer:

g(3) = 9

Step-by-step explanation:

replace 3 in x

g(3) = 2(3) +3 = 6 + 3 = 9

Hope this helps

Answer:

3.3⁷

Step-by-step explanation:

To make a scientific notation the whole number must be more than 1 and less that 9.9 repeating. To do this, move the decimal however many times it takes to make the whole number (the number before the decimal) more than one and less that 9.9 repeating. For the number 33,900,000, the decimal must be moved 7 times, which is why I added the 7 exponent. Also when making a number into a scientific notation, be sure to add the number after the whole number, placing it after the decimal.

The value of the variables 'x' in the equation is 0. 32

Algebraic expressions can be defined as expressions consisting of constants, factors, coefficients, variables as well as terms.

They are also composed of certain mathematical operations such as;

Given the expression;

2.54 - x + 12 = 21 - 42.5x + 7

To determine the value of x, we have to follow the following steps;

collect like terms

-x + 42. 5x = 21 + 7 - 12 - 2. 54

Add or subtract like terms

41. 5x = 13. 46

Make 'x' the subject of formula by dividing both sides by the coefficient of x

x = 13. 46/41. 5

Divide the values

x = 0. 32

Hence, the value of x is 0. 32

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Answer:

Step-by-step explanation:

using the real question in the comments

If i = -1, what is the value of i^3?

i³

replace values

-1³ =

(-1)x(-1)x(-1)

-1

-----------

Answer: The question, please?

Step-by-step explanation:

The probability that exactly of them say job applicants should follow up within two weeks is 0.2291

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The binary probability distribution can be used to model the given issue.

Assume that X is a binomial random variable with the values n and p, where n is the total number of human resource managers that were randomly chosen and p is the likelihood that the chosen manager will advise job seekers to follow up within two weeks.

total human resource managers were chosen at random, n = 9

The likelihood that the chosen human resources manager will advise job seekers to follow up within two weeks = 57 (0.57)

As we are aware, the probability of "m" successes for a binomial distribution is calculated as -

[tex]P(X=m) = ^{n}C_{m} (p)^{m}(1-p)^{n-m} = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}[/tex]

Using the aforementioned data, we can now calculate the likelihood that exactly 6 of the 9 applications who were chosen will advise job seekers to follow up within two weeks as follows:

n = 9

p = 0.57

m = 6

[tex]P(X=m) = \frac{n!}{m! (n-m)!}(p)^{m}(1-p)^{n-m}[/tex]

[tex]P(X=6) = \frac{9!}{6! (9-6)!}(0.57)^{6}(1-0.57)^{9-6}[/tex]

[tex]= \frac{9!}{6! 3!} (0.57)^{6} (0.43)^{3}[/tex]  = 0.2291 (rounded to 4 decimal places)

Therefore, the probability that exactly of them say job applicants should follow up within two weeks is 0.2291

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We can check this using Pythagoras' theorem.

Explain Pythagoras' theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship in Euclidean geometry between the three sides of a right triangle. It asserts that the area of the square with the hypotenuse (the side opposite the right angle) equals the sum of the areas of the squares with the other two sides. This theorem may be expressed as an equation linking the lengths of the legs a, b, and the hypotenuse c, which is known as the Pythagorean equation: a² + b² = c²

According to Pythagoras' theorem, as we see a² + b² = c²

6² + 8² = 10², so the photo frame is still a rectangle.

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The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.

Hence, The function has a minimum if the x2 coefficient is positive. If it is negative, the function has reached its limit. If you have the function 2x2+3x-5, for example, the function has a minimum because the x2 coefficient, 2, is positive. Divide the x term coefficient by twice the x2 term coefficient.

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From the given linear function, we have that:

A. The function is constant on the following interval: B.2 ≤ x ≤ 5.

B. The function is increasing on the following interval: A.0 ≤ x ≤ 2.

C. The function is decreasing the fastest on the following interval: D.5 ≤ x ≤ 6.

D. The justification for the previous item is: D.5 ≤ x ≤ 6 is the interval where the slope is the steepest.

A function is constant when it's graph is an horizontal line, hence in this problem the function is constant for two intervals.

Hence, in item A, option B is correct.

A function is increasing on the intervals that y is increasing while x increases, that is, the function is moving right and up.

Hence, in item B, option A is correct.

A function is decreasing on the intervals that y is decreasing while x increases, that is, the function is moving right and down.

The decrease is faster when the division of the change in the output by the change in the input has the lower value(greater absolute negative).

Hence:

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The $150 monthly payment on the $3,482.46 credit card loan at 1.55% monthly interest rate gives the number of fewer months it would take to repay the loan if the monthly payment is $200 as 10 months

A monthly interest rate is obtained from an annual interest rate by dividing it by 12.

The monthly payment formula is presented as follows;

[tex] \displaystyle{M = \frac{P \cdot r \cdot (1 + r)^{n} }{ (1 + r)^{n} - 1}} [/tex]

Where;

M = The monthly payments = $150

P = The loan amount = $3,482.46

r = The monthly interest rate = 1.55% = 0.0155

n = The number of periods (monthly payments) = 30

When the monthly payment, M = $150, it takes the career councilor approximately 30 months for the debt to be repaid.

When the monthly payment, M = $200, we have;

[tex]\displaystyle{200 \approx \frac{3482.46 \times 0.0155 \times (1 + 0.0155)^{n} }{ (1 + 0.0155)^{n} - 1}} [/tex]

Which gives;

[tex] \displaystyle{200 \times ((1 + 0.0155)^{n} - 1)= 3482.76 \times 0.0155 \times (1 + 0.0155)^{n}} [/tex]

[tex] \displaystyle{200 \times (1.0155)^{n} - 200 = 53.98278 \times (1.0155)^{n}} [/tex]

[tex]\displaystyle{ 146.017 \times (1.0155)^{n} = 200 }[/tex]

n•ln(1.0155) ≈ ln(1.3697)

[tex] n = \frac{ln(1.3697)}{ln(1.0155)} \approx 20.45[/tex]

The number of months it will take to pay back the loan using a monthly payment of $200 is therefore approximately 20 months

The number of fewer months it takes to repay the loan is therefore;

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Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since slope is 5, equation is y = 5x + c.

Substitute (2,-4) into the equation to find c.

-4 = 5(2) + c

c = -14

Hence equation of line is y = 5x - 14

Answer:

When a polynomial f(x) is divided by ax + b and f(a/b) = 0, ax - b is a factor of f(x).

Let 2x³ + x² + 2Ax + 4 be f(x).

f(1) = 0

Substitute x = 1 into the equation.

2(1)³ + (1)² + 2A(1) + 4 = 0

2 + 1 + 2A + 4 = 0

2A = -7

A = -7/2

The missing numbers here are given by 9×(80+7)=(9×80)+(9×7)

What are missing numbers?

Missing numbers are the numbers that got missed in the given series of numbers with similar differences among them. The process of writing the missing numbers is termed as finding similar changes between those numbers and filling their missing values in their specific series and places.

Here, given 9×87=(9×some number)+(another number×7)

Let x and y be the missing numbers.

9×87=(9×x)+(y×7)

We can write 9×87=9×(80+7)

Using distributive property,

9×87=(9×80)+(9×7)

On comparing, we get x=80,y=9.

Hence, the missing numbers are 80, 9

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We may get the same conclusion using either approach, which is that x—5 is a factor of the polynomial.

This will be discussed in further detail below.

Explain, taking into account the fact that, using either method, whether or not we can think of x-5 as a factor in the polynomial based on the given information.

Generally, the equation for the problem is mathematically given as

f(x)=x^3-x^2-17 x-15

Therefore,  If (x-5) is factor of f(x) then at x=5 ,f(x)=0 then apply this

[tex]\begin{aligned}f(x) &=5^3-5^2-17 \times 5-15 \\&=125-25-85-15 \\&=0\end{aligned}[/tex]

In conclusion,Since f(x) is equal to 0 when x = 5, the factor of f is (x-5) (x).

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Answer: 11.78

Step-by-step explanation:

Answer:

Step-by-step explanation:

855555555555fhhhhhhhhhhhhhhhhg6

Answer:

x≤8

Step-by-step explanation:

3x-1.5≤22.5

Move the constant to the right side and change its sign to the opposite.

3x≤22.5+1.5

Add up the numbers.

3x≤24

Divide.

x=24/3

x≤8

Answer:

x= 8

Step-by-step explanation:

So this is not as hard as it looks

the aim of this question is to work out what x is

so we need to find x on it's own

therefore we must work on removing the number on the right and to do this we first of all have to get a number that is divisible by 3.

now this is not always the case but I think you can tell from this question that it is obvious.

so what you do first is reverse the -1.5 into a positive and if it was the other way round so positive to a negative

so we do 1.5 + 22.5 which equals to 24

now this is simple division so 24 ÷ 3 = 8

therefore making the answer x = 8

Answer:

A = 2x0 = 0

B= 2x2 = 4

Similarity: they both pass the origin

Difference: They have different gradients: y=2x has a gradient of 2 and y=x has a gradient of one

Step-by-step explanation:

A = 2x0 = 0

B= 2x2 = 4

Similarity: they both pass the origin

Difference: They have different gradients: y=2x has a gradient of 2 and y=x has a gradient of one

Answer:

4 seconds

Step-by-step explanation:

Given equation:

[tex]y=256-16x^2[/tex]

where:

The penny reaches the ground when the height is zero, so when y = 0.

Substitute y = 0 into the given equation and solve for x:

[tex]\begin{aligned}y&=256-16x^2\\y=0 \implies 0&=256-16x^2\\0+16x^2&=256-16x^2+16x^2\\16x^2&=256\\\dfrac{16x^2}{16}&=\dfrac{256}{16}\\x^2&=16\\\sqrt{x^2}&=\sqrt{16}\\x&=\pm4\end{aligned}[/tex]

As time is positive, x = 4 only.

Therefore, it takes 4 seconds for the penny to reach the ground.

Answer:

2x-4 ravdhzfjztjt,h,rufhfjfjfjufff,ufhfutitig

Step-by-step explanation:

xbsndnsnfnzndnzanayrURJfjgjgkgjgk gk

0.384  is the chance that joe has to pay the tab at least once by probability.

What is a math illustration of probability?

Every tuesday Joe has beer with 4 friends .

Each have unique token , and the person whose token is drawn pays the tab.

Since , there are Joe and 4 friends , so we have total of 5 persons.

Now, probability that Joe token will be drawn is =  1 / 5            { 1 (Favourable Outcome) \small / 5 (Total Outcome)  }

i.e there is 1/5  = 0.20 probability that Joe token will be drawn and he will pay the tab.

Over the next 3 weeks , we need to find the change that Joe pays the tab exactly one time.

Here we have n = 3 ( weeks ) , and probability of success is p = 0.20

i.e probability that Joe will pay tab (Success)  is p = 0.20  and probability that Joe will not pay tab ( failure ) is 1-p = 0.80.

So we can model it by binomial distribution , as we have only two outcome which are i) Joe pays the tab , ii) Joe do not pay tab.

X ~ B(n=3 , p =0.20)

We need to find P(X=1) , i.e exactly one time Joe pays the tab .

Since, we have approximate that X follows binomial distribution , so we have

f(x) = P(X=x) = \small \binom{n}{x}p^x(1-p)^{n-x}

Hence

  P(X=1) = ( n  1 ) p¹ ( 1 - p)ⁿ⁻¹

             = ( 3  1 ) 0.2¹ ( 1 - 0.2)³⁻¹

             =  3 * 0.2 * 0.8²

              = 0.384

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Answer:

Step-by-step explanation:

Let's solve for x.

x+7y=−39

Step 1: Add -7y to both sides.

x+7y+−7y=−39+−7y

x=−7y−39

Let's solve for y.

x+7y=−39

Step 1: Add -x to both sides.

x+7y+−x=−39+−x

7y=−x−39

Step 2: Divide both sides by 7.

7y/7 = −x−39/7

y= −1/7x+−39/7

Zach's score, Z, and Nathan's score, N, are related by the formula

2Z-11=N.

This is further explained below.

Generally, Assume Nathan has a score of N and Zach has a score of Z.

Zach's score is 11 points higher than Nathan's.

It implies,

N equals twice of Z minus 11.

We may format it as follows:

2Z - 11 = N

There are now four possible outcomes for these two brothers' scores:

Zach's score will be determined using algebraic formulas if Nathan's score is 81.

2Z - 11 = 81

2Z = 92

Z = 46

Zach's score will be 61 if Nathan receives a score of 111.

Zach's score will be 121 if Nathan's score is 231 or higher.

Zach's score will be 456 if Nathan's score is 901.

The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.

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Answer:For the first one i only know the answer to the division problem i don't know how to do the box things but the division problem is 2,867 divided by 61=47 with no remainder.

           The second one is 3,353 divided by 75 =40 R 4

The equation of line is found as y = 9x - 16.

For the given question;

The passing points of the line are (6, 2) and (-3, 1).

The slope of line is calculated as;

slope = m = (y₂ - y₁)/(x₂ - x₁)

Where,

(x₁, y₁) =  (6, 2)

(x₂, y₂) = (-3, 1)

Put the values;

m = (-3 - 6)/(1 - 2)

m = -9/-1

m = 9

Then, the equation of line using slope intercept form is-

y - y₁ = m (x - x₁)

Put the values;

y - 2 = 9(x - 2)

Simplifying;

y -2 = 9x - 18

y = 9x - 16

Thus, the equation of line is found as y = 9x - 16.

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The complete question is -

What is the equation of the line that passes through P( 6,2) and S (- 3,1)?

The given pairs of lines have been identified as parallel, perpendicular lines or neither as explained below.

Two lines are parallel if they have the same slope (m), while they are perpendicular to each other if their slopes are negative reciprocal of each other.

The slope in a given equation of a line that is in slope-intercept form, y = mx + b, is represented as "m" in the equation.

1. y = 3x - 7 and y = 3x + 1 both have the same slope (m) of 3. They are parallel lines.

2. y = -2/5x + 3 and y = 2/5x + 8 both have the different slope (m), which are not negative reciprocal to each other. They are neither parallel nor perpendicular lines.

3. The slope of y = -1/4x is -1/4. The slope of y = 4x - 5 is 4. -1/4 is the negative reciprocal of 4. Therefore, the lines are perpendicular.

4. 2x + 7y = 28 can be rewritten as y = -2/7x + 4, the slope (m) is -2/7.

7x - 2y = 4 can be rewritten as y = 7/2x - 2, the slope (m) is 7/2.

-2/7 and 7/2 are negative reciprocals.

They are perpendicular lines.

5. The slope of y = -5x + 1 is -5.

x - 5y = 30 can be rewritten as y = 1/5x - 6, the slope is 1/5.

The lines are perpendicular.

6.  3x + 2y = 8 can be rewritten as y = -3/2x + 4, the slope (m) is -3/2.

2x + 3y = -12 can be rewritten as y = -2/3x - 4, the slope (m) is -2/3.

The lines are neither.

7. The slope of y = -4x - 1 is -4.

8x + 2y = 14 can be rewritten as y = -4x + 7, the slope is -4.

They are therefore parallel lines.

8. x + y = 7 can be rewritten as y = -x + 7, the slope (m) is -1.

x - y = 9 can be rewritten as y = x - 9, the slope (m) is 1.

The lines are perpendicular.

9. They have the same slope of 1/3. They are parallel lines.

10. They have different slopes that are not negative reciprocals, therefore, they are neither.

11. Their slopes are 1/2 and -2. Therefore, they are perpendicular lines.

12. They have the same slope of 3/4. They are parallel lines.

13. They have the same slope of 1. They are parallel lines.

14. Their slopes are -5/4 and 4/5. Therefore, they are perpendicular lines.

15. Their slopes are not negative reciprocals and are not the same, therefore, they are neither.

16. Their slopes are 1/2 and -2. Therefore, they are perpendicular lines.

17. They are both vertical lines, therefore they are neither.

18. x = 1 is a vertical line while y = -8 is a horizontal line that meets perpendicularly. Therefore, the lines are perpendicular.

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Answer:

7.462

Step-by-step explanation:

Answer:

7 231/500 As a decimal

Step-by-step explanation:

To write 231/500 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 231 by 500 what we write down as 231/500 and we get 0.462

Hope this helps!

The reflection of the coordinate (-3, 4) over the y-axis is (3, 4).

The Y-coordinates do not change when a point is reflected across the Y-axis. However, the X-coordinates are changed into their opposite signs.

Given the coordinates of the triangles RST as shown below;

R = (-3, 4)

S = (-1, -4)

T = (-4, -2)

If (x, y) for instance is reflected over the y-axis, the resulting coordinate will be (-x, y). Similarly, if the coordinate R (-3, 4) is reflected over the x-axis, the resulting coordinate point will be (3, 4)

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