*
01/10
Probability=
Permutation Formula
n!
(n-r)!
nPr =
Number of Favorable Outcomes
Total Number of Outcomes
Combination Formula
n!
(n-r)!r!
nCr
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A bucket contains the names of 10 people including you and your friend.
If 2 names are randomly selected find the probability the first name
selected is yours and the second name selected is your friend's name.

The function that represents the charges  is [tex]t_{n}=[/tex] 10 + (n- 1 )12

The formula for the nth term is given by

        [tex]t_{n}=[/tex] a +(n-1)d

        [tex]t_{n}=[/tex] a +(n-1)d

        [tex]t_{n}=[/tex] 10 + (n- 1 ) 12

a ) First hour

n = 1

[tex]t_{1 }=[/tex] 10 + (1- 1 ) 12

   = 10

b ) Second  hour

n = 2

[tex]t_{2 }=[/tex] 10 + (2- 1 ) 12

   = 10 + 12

   = 22

c ) Third hour

n = 3

[tex]t_{3}=[/tex] 10 + (3- 1 ) 12

   = 10 + 24

   = 34

d ) Fourth hour

n = 4

[tex]t_{4 }=[/tex] 10 + (4- 1 ) 12

   = 10 + 36

    = 46

e ) Fifth hour

n = 5

[tex]t_{4 }=[/tex] 10 + (5- 1 ) 12

   = 10 + 48

    = 58

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Answer:

Step-by-step explanation:

2(2x + 4) + 2(x-7) = 48

4x+8 +2x-14=48

6x-6 = 48

6x = 48+6

6x = 54

x = 54/6

x = 9

Answer: The Fair Labor Standards Act (FLSA) establishes a rule about overtime that requires covered employers to pay their employees a premium rate for any hours worked over 40 in a workweek. The premium rate is one and a half times the regular rate of pay for the employee. This overtime rule applies to all non-exempt employees, meaning those who are eligible for overtime pay.

Answer:

4

Step-by-step explanation:

9 , 13, 17, 21

9 + 4 = 13

13 + 4 = 17

17 + 4 = 21

Answer:

[tex]\dfrac{155}{18} \pi \textrm{ cm}[/tex]

Step-by-step explanation:

This problem asks us to find the length of an arc ACB on the circumference of a circle with center O and a radius of 5 cm.

We first must solve for the total circumference (perimeter) of the circle. This is represented by the formula C = 2πr. Hence, the circumference of this circle is:

C = 2π(5) cm

C = 10π cm

Next, we have to find what fraction of 360º the major arc ACB is in order to deduce how much of the circle's total circumference the arc takes up.

[tex]\dfrac{(360 - 50)\textdegree}{360\textdegree} = \dfrac{31}{36}[/tex]

Finally, we can multiply the amount of circumference that arc ACB takes up by the length of the whole circumference to get the length of arc ACB.

[tex]\textrm{Length of arc } ABC = \dfrac{31}{36} \cdot 10\pi[/tex]

[tex]= \dfrac{310}{36} \pi[/tex]

[tex]= \dfrac{155}{18} \pi \textrm{ cm}[/tex]

Answer:

[tex]\textsf{Length of major arc $\overset{\frown}{ACB}$}: \;\; \boxed{\dfrac{155}{18}\pi\; \sf m}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $= \pi r\left(\dfrac{\theta}{180^{\circ}}\right)$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in degrees.\\\end{minipage}}[/tex]

Angles around a point sum to 360°.  Therefore:

[tex]\begin{aligned}\implies m \angle BOA&=360^{\circ}-m \angle AOB\\&=360^{\circ}-50^{\circ}\\&=310^{\circ}\end{aligned}[/tex]

Therefore, the given values are:

To find the length of the major arc ACB, substitute the given values into the arc length formula:

[tex]\begin{aligned}\implies \overset{\frown}{ACB}&=\pi \cdot 5 \cdot \left(\dfrac{310^{\circ}}{180^{\circ}}\right)\\\\&=5\pi \cdot \dfrac{31}{18}\\\\&=\dfrac{155}{18}\pi\; \sf m\end{aligned}[/tex]

Equalizing ratios refer to two ratios with the same value.Multiply or divide both values by the same number to arrive at an equivalent ratio. The ratio 1: 3.5 will be the equivalent of the ratio 8: 28.

A ratio shows how many of one number there are of another.Two numbers are expressed as x: y, which is equivalent to x/y, to represent their ratio.

where each of the two variables, x and y, is a separate quantity.Additionally, the combined total is given as x + y.

Knowing that;

is the ratio;

8 : 28

And the ratio has the following equivalent form: 1: n.

Now,

The ratios 8: 28 and 1: n are identical, thus.

in order to formulate;

8 : 28 = 1 : n

Calculate n as;

8 / 28 = 1 / n

n = 28 / 8

n = 3.5

As a result, 1: 3.5 will be the ratio that the ratio 8: 28 corresponds to.

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1000 ml of sodium silicate is used to make 10 liters soap

An equation is a expression that shows the relationship between numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let y represent the amount of sodium silicate in x ml of liquid soap.

From the graph, using the points (1000, 100) and (3000, 300):

y - 100 = [(300 - 100)/(3000 - 1000)](x - 1000)

y - 100 = 0.1(x - 1000)

y = 0.1x

For 10 L (10000 ml)of soap:

y = 0.1(1000) = 1000 ml

1000 ml of sodium silicate is used to make the soap

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Answer:

Step-by-step explanation:

6:55 to 7 o'clock is 5 minutes.

from 7 to 8 is 60 minutes

from 8 to 8: is 15 minutes.

So, 5+60+15=80 minutes, also calls one hour and 20 minutes.

she ran for 3hours

06:55

08:15

14:60 therefore 14 is 2hours and 60 is 1hour

The outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.

The two fractions that want to multiply come first when multiplying fractions.

For the stated number.

The number given is 8/3.

Other set of numbers are-

Multiplying 1/3 with 8.

= 1/3*8

= (1*8)/3

= 8/3, which is equal to the stated number.

Thus, the outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.

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The value of the sales tax applied to the bill is $0.36

If we have an initial value A, and we increase it by a percentage X, then the new value (after the increase) is given by:

A' = A*(1 + X/100%).

Here we know that the bill before the tax and the tip (it will be the initial value) is:

A = $11.85

And a sales tax of 3% is applied to that bill, then the new amount is:

A' = $11.85*(1 + 3%/100%)

A' = $11.85*(1 + 0.03) = $12.21

The sales tax is equal to the difference between the amount above and the initial value of the bill.

tax = $12.21 - $11.85 = $0.36

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Solving by function The NFL punished Ray Rice, Adrian Peterson, Tom Brady, and Ezekiel Elliott for a variety of reasons, but each of those reasons had to do with their personal lives.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found.

By function

f(x) = 23x  243.2y + 23.2xy

we have Ray Rice struck his future wife. Adrian Peterson took part in kidnapping. In accordance with the NFL's Personal Conduct Policy, all of these players were suspended.

Also, both in arbitration and court, the NFL was successful in upholding these punishments.

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Answer:

[tex]w(z(7))=189[/tex]

Step-by-step explanation:

[tex]z(7)=7+5=12 \\ \\ w(z(7))=w(12)=12^2+4(12)-3=189[/tex]

Answer:

(f+6) (x)= x^3+3x^2+1 / x2

Step-by-step explanation:

The reasons are  When two lines intersect, the angles formed opposite to each other are termed as vertical angles

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There is no evidence to reject the claim that there a difference in the proportion of people who think Red label is produced in Russia.

It should be noted that we want to test the claim at 5% level of significance. The z critical value at 5% level of significance for two tailed test is 1.96.

The test statistic is 0.5. Since the z critical value is greater than the test statistic we do not reject the null hypothesis at 5% level of significance.

Therefore, we do not have enough evidence to reject the claim that there a difference in the proportion of people who think Red label is produced in Russia and the proportion of people who think Hennessy is produced in Russia.

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The inequality which represents the number of backpacks need to be sold is 40x - (10x + 12,000) ≥ 980. Factory should sell at least 433 backpacks in a week.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Selling price of 1 backpack = $40

Cost to make 1 backpack = $10

Operating expense per week = $12,000

Let x be the number of backpacks which are sold in a week.

Total revenue per week = 40x

Total expense per week = 10x + 12,000

Profit = Revenue - Expense

         = 40x - (10x + 12,000)

Factory's goal is to make a profit of at least $980 each week.

40x - (10x + 12,000) ≥ 980

This is the inequality that represents the number of backpacks need to be sold.

Solving the inequality,

40x - (10x + 12,000) ≥ 980

40x - 10x - 12,000 ≥ 980

30x ≥ 980 + 12,000

30x ≥ 12,980

x ≥ 432.67 ≈ 433

Hence factory must at least a total of 433 backpacks to meet it's weekly goal of $980.

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Answer:

x <= -5 or x >= 5.

Step-by-step explanation:

The boundary values (-5) and (5) contain closed circles to show that these values are included in the solution sets for the given inequalities.

Had our given compound inequality been:

   x < -5 or x > 5

Then the boundary values (-5) and (5) would have contained open circles to show that these values are not included in the solution sets for these inequalities.

A child can receive 0.5 kg /ml of drug.

What is density?

It is the quantity of a substance per unit volume. A   quantity of mass is divided by volume, and we get a density of a particular substance.

A 66 lb. child can receive 1 meq/ kg of drug.

but the drug is available in 2 meq/ 4ml.

we need to divide kg by ml to estimate how much quantity is suitable.

From the standard unit, if we divide the quantity in kg by the quantity in ml we achieve a density of drug.

(1 meq / kg) / (2 meq/ 4ml) = 2 ml / kg

the above value is inversed, and we get a density.

the density of drug = 0.5 kg / ml

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Answer: one solution

Step-by-step explanation:

y=-2x+4   y=2x

2x=-2x+4

4x=4

x=1

Answer:

Step-by-step explanation:

one

Answer: $125

Step-by-step explanation:

$55 per tire (2)

$30 per hour of labor (0.5)

$55(2)+30(0.5)=$125

Answer:

$125

Step-by-step explanation:

2 tires =$110 ($55 each tire)

half an hour of labor=$15

For a lower-tail test, a t-statistic that is negative and far from zero would then lead us to favor the alternative hypothesis

An alternative way to conduct a hypothesis test is to again assume initially that the null hypothesis is true, but then to calculate the probability of observing a t-statistic as extreme as the one observed or even more extreme

For a lower-tail test, the p-value is the area under the curve of the t-distribution (with n−1 degrees of freedom) to the left of the observed t-statistic.

Lower-tail tests work in a similar way to upper-tail tests, but all the calculations are performed in the negative (left-hand) tail of the t-distribution density curve

A lower-tail test would result in an inconclusive result for the home prices example (since the large, positive t-statistic means that the data favor neither the null hypothesis, NH: E(Y) = 255, nor the alternative hypothesis, AH: E(Y) < 255).

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Using the Factor Theorem, it is found that none of these options represent a linear factor of f(x) = x³ + 7x² + 4x - 12.

The Factor Theorem states that if x - a is a factor of the polynomial y = f(x), then f(a) = 0.

The polynomial for this problem is defined as follows:

f(x) = x³ + 7x² + 4x - 12.

The numeric values for each of the options are given as follows:

As none of the values of a have f(a) = 0, none of these terms are linear factors of the polynomial x³ + 7x² + 4x - 12.

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The maximum and minimum x-coordinates at the point of inflection are, respectively,[tex]$\left(\frac{\pi}{4}+2 \pi n, \sqrt{2}\right)$[/tex] and [tex]$\left(\frac{5 \pi}{4}+2 \pi n,-\sqrt{2}\right)$[/tex], and the function f is defined as f(x)=cos x+sin x for 0≤x≤ 2.

[tex]$\frac{d}{d x}(\cos (x)+\sin (x))$[/tex]

Continuity of [tex]$\cos (x)+\sin (x): \quad 2 \pi$[/tex]

Domain of [tex]$\cos (x)+\sin (x):\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]

Range of [tex]$\cos (x)+\sin (x):\left[\begin{array}{cc}\text { Solution: } & -\sqrt{2} \leq f(x) \leq \sqrt{2} \\ \text { Interval Notation: } & {[-\sqrt{2}, \sqrt{2}]}\end{array}\right]$[/tex]

Axis points of interception [tex]$\cos (x)+\sin (x)$[/tex] [tex]: X Intercepts: $\left(\frac{3 \pi}{4}+2 \pi n, 0\right),\left(\frac{7 \pi}{4}+2 \pi n, 0\right)$,[/tex]

The Y intercept: (0,1)

the asymmetrical [tex]$\cos (x)+\sin (x)$[/tex] : None

Excessive Points of [tex]$\cos (x)+\sin (x): \quad$[/tex] Maximum [tex]$\left(\frac{\pi}{4}+2 \pi n, \sqrt{2}\right)$[/tex] ,  Minimum [tex]$\left(\frac{5 \pi}{4}+2 \pi n,-\sqrt{2}\right)$[/tex]

We put the second derivative of the function equal to zero to get the x-coordinate of the point of inflection. Re-inserting the x-coordinate into the initial function yields the point's y-coordinate.

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If Jaxson makes a constant hourly wage (unit rate) and earns $62 for 4 hours of work, the table representing the relationship between the number of hours he works, and his total earnings is C. as follows:

Time       Pay

(Hours)

  4          $62.00

  5          $77.50

  6          $93.00.

The unit rate is the ratio of two values.

The unit rate is the average of the total value divided by the total units.

We can also describe the unit rate as the constant rate of change, the variable cost per unit, or the slope in a linear equation.

Time       Pay             Unit

(Hours)                      Rate

  4          $62.00      $15.50 ($62/4)

  5          $77.50      $15.50 ($77.50/5)

  6          $93.00     $15.50 ($93/6)

Thus, the unit rate of $15.50 is constant across all time hours that Jaxson works, making Option C to be correct.

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Answer:

Step-by-step explanation:

i dont know either

The mode is 2.

The mode is the value that appears often in a set of data values.

The mode is a way of expressing, in a single number, important details about a random variable. The numerical value of the model is the alike as that of the mean and median in a normal distribution, and it may be very different in highly skewed distributions.

Given Data :

84, 87,84,88,85,90,91

First, arranging the data in ascending order :

84, 84, 85, 87, 88, 90,91

Now, we have to find how many times this number occurs :

⇒ 84 occurs 2 times

⇒ 85 occurs 1 time

⇒ 87 occurs 1 time

⇒ 88 occurs 1 time

⇒ 90 occurs 1 time

⇒ 91 occurs 1 time

So, the mode is 2.

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Answer: yo wyd ?

Step-by-step explanation: pull up

333 integers,  there are 333 integers between 1 and 1,000 which are divisible by 3, by divisibility test.

The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.

here

add all the numbers,

1 + 2+ 3 + 4+ 5 = 15

and 15/3 = 5

so it is divisible by 3

not by 9

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On solving the provided question, we can say that from the graph, we have  y-intercept of f(x); f(x) = 2(3)°; f(x) = 2 = (0, 2), y-intercept of g(x) = g(x) = (0, 3) so Distance =  (3,-2)

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the graphs, we have

y-intercept of f(x)

f(x) = 2(3)°

f(x) = 2

(0, 2)

y-intercept of g(x)

g(x) = (0, 3)

Distance

(3,-2)

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This information can be entered into an Excel sheet by creating columns for each item (A-J) and entering the corresponding values in the corresponding cells.

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Therefore , the solution of transformation of function is Translation shifting the graph of a function up or down, or left or right.

A transformation of a function is a new function that is derived from the original function by applying some mathematical operation. The process of creating a new function from an existing one by applying a mathematical operation is called a transformation.

Here,

There are different types of transformations that can be applied to a function, such as:

Translation: shifting the graph of a function up or down, or left or right.

Reflection: flipping the graph of a function over the x-axis, y-axis, or a line of symmetry.

Stretching or compressing: changing the scale of the graph along the x-axis or y-axis.

Rotation: rotating the graph of a function about the origin.

Function G is a transformation of function f. G(x) = x^2

A transformation of a function is a new function that is derived from the original function by applying some mathematical operation. In this case, function G is derived from function f by squaring the input value. The result is a new function that maps the input value to its square. The notation G(x)= x^2 is a common notation to represent a function and it means that G is a function that takes x as input and returns the square of x as output.

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