A probability experiment consists of rolling a 6-sided die, numbered 1 to 6. Find the probability of the event below.
rolling a number less than 6
According to the solving the Probability of the event below is as:
= 0.8333
What is probability?Probability is the possibility that an event will occur given all the potential outcomes. A decision-maker considers the likelihood of a result to be important. Decisions will be made better as potential outcomes are better understood.
The purpose of probability:Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures as well as the risk of health impacts are related.
According to the given data:The probability of rolling a number less than 6.
There are six sides to the die with numbers on each side of (1, 2, 3, 4, 5, 6)
There is a total of six numbers and five ae below six in value.
So,
P(X < 6) = 5/6
= 0.8333
According to the solving the Probability of the event below is as:
= 0.8333
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-109-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 Which of the following inequalities is represented by the number line?
The inequality is x > -3
The second choice is the correct answer.
Toni is at a dock on a bank of a straight river that is 1 mile wide and wants toreach the barge toll gate on the other side, so he can warn the guards about the stolengoods on an approaching barge. The toll gate is 4 miles downstream on the opposite bank,and Toni want to get there by first rowing his boat to somewhere (call it point P) on theopposite bank and then walking the remaining distance × to the toll gate. He can row at 4mph and walk at 2 mph. Express the total time 7, in terms of x, that he takes to go from thedock to the toll gate.
The formula to calculate the time taken is given to be:
[tex]Time=\frac{Distance}{Speed}[/tex]The total time taken is going to be the sum of the time taken to cross the river and the time taken to go from the point on the opposite bank to the toll gate.
The
The x-intercept of 2x + 3y = 12 is (0,4).A.TrueB.False
The x intercept is the value of x when y = 0
Looking at the equation,
2x + 3y = 12
If we substitute y = 0 into the equation, it becomes
2x + 3*0 = 12
2x + 0 = 12
2x = 12
x = 12/2
x = 6
Therefore, the statement is false
What do you put in each box
The equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.
The given expressions are 8(t+8) and 8t+8.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Now, 8(t+8)
Using distributive property a(b+c)=ab+ac, simplify 8(t+8)
That is, 8t+64
Take common factor in 8t+8 is 4(2t+2) and 8t+8=4t+8+4t
Therefore, the equivalent expression to 8(t+8) is 8t+64 and the equivalent expression to 8t+8 is 4(2t+2) and 4t+8+4t.
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how many times larger is a square kilometer than a square dekameter
Answer: It is 10000 times larger
For the following word problems, create a system of equations and solve by using the substitution method.
We will solve as follows:
*We have the equations:
[tex]9.50A+27.00B=4000[/tex]&
[tex]A+B=200[/tex]We solve then for the second equation [Either for A or B], that is:
[tex]A=200-B[/tex]Now, we replace in the first equation and solve for B:
[tex]9.50(200-B)+27.00B=400\Rightarrow1900-9.50B+27.00B=4000[/tex][tex]=17.5B+1900=4000\Rightarrow17.5B=2100[/tex][tex]\Rightarrow B=120[/tex]Now, we replace the value of B in the second equation:
[tex]A=200-(120)\Rightarrow A=80[/tex]So, the investor has 80 shares on stock A and 120 shares on stock B.
I need help with this the question reads before the pandemic Corning planned to make 75 millions vials in 2021 due to the vaccine demand Corning will make d times as many vials write an expression to find how many vials Corning will make in 2021
The solution:
The question says Corning planned to make 75,000,000 vials in 2021.
But due to the demand for the vaccine, Corning decided to make d times as many vials.
We are asked to write an expression to find the number of vials Corning will make in 2021.
So, the required expression is:
[tex]75000000\times d=75000000d\text{ vials}[/tex]Therefore, the correct answer is 75000000d vials.
Evaluate the expression when y=4 and x=6 so what is x+8y
5) Determine the probability distribution's missing value.
The probability that a tutor will see 0, 1, 2, 3, or 4 students
For the given probability distribution, the missing value is 5/17.
What is probability distribution?A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that various possible outcomes of an experiment will occur. In terms of its sample space and event probability, it is a mathematical description of a random phenomena.
For the given distribution,
Let the missing value be x
we know that sum of probabilities = 1
⇒ 0 + 0 + 7/17 + x + 5/17 = 1
⇒ 12 / 17 + x = 1
⇒ x = 1 - 12/17
⇒ x = 5 / 17
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Establish the identity.
(sec 0+1)(sec 0-1)= tan 0
Multiply and write the left side expression as the difference of two squares.
- Tan²θ is the left side expression as the difference of two squares in trigonometric ratios.
What do trigonometric ratios represent?
As specified by the definition of a right-angled triangle's side ratio, trigonometric ratios are the values of all trigonometric functions. Trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios.When calculating unknown distances from known or measured angles in geometric figures, trigonometric functions are used.(sec θ+1)(sec θ-1)= tan² θ
use ( a+ b ) ( a - b) = a² - b²
= 1² - sec²θ { we know that 1 + tan²θ = sec²θ}
= 1 - sec²θ
= - tan²θ
LHS = RHS
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An international company has 29,200 employees in one country. If this represents 31.7% of the company's employees, how many employees does it have in total?Round your answer to the nearest whole number.
Answer:
The total number of employees the company have is;
[tex]92,114[/tex]Explanation:
Given that an international company has 29,200 employees in one country.
If this represents 31.7% of the company's employees.
let n represent the total number of employees the company have;
[tex]31.7\text{\% of n = 29,200}[/tex]Solving for n;
[tex]\begin{gathered} \frac{31.7}{100}n=29,200 \\ 0.317n=29,200 \\ n=\frac{29,200}{0.317} \\ n=92,113.564668 \\ n\approx92,114 \end{gathered}[/tex]Therefore, the total number of employees the company have is;
[tex]92,114[/tex]graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to c is 4/5. in other words a change of 1 unit in x corresponds to a change of 4/5 units in y
The graph that represents the proportional relationship between x and y with a unit rate of 4/5 is shown in the image below.
How to Graph the Line of a Proportional Relationship?If the relationship between x and y is a proportional relationship, the equation that models the relationship between x and y can be expressed as y = mx. Here, the unit rate is represented by the value of in the equation.
This means that, the graph that represents the proportional relationship between x and y would have a slope of the value of m. m, which is the slope of the line, is the ratio of the rose of the line to the run of the line.
Thus, where m = 4/5, the equation that represents the proportional relationship would be:
y = 4/5x.
Therefore, the graph below shows the proportional relationship between x and y which is represented by the equation, y = 4/5x.
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PLEASE HELP!!!!!
Answer two questions about Equations AAA and BBB:
A. x/4 + 1 = -3
B. x + 4 = -12
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
(Choice A)
Rewrite one side (or both) using the distributive property
(Choice B)
Rewrite one side (or both) by combining like terms
(Choice C)
Multiply/divide only one side by a non-zero constant
(Choice D)
Multiply/divide both sides by the same non-zero constant
Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
(Choice A)
Yes
(Choice B)
No
Answer:
1)D and 2)A
Step-by-step explanation:
1) D
When you dived B by 4 on both sides , you get A
2) A
:]
100 points and brainly for right answer A line includes the points (9,10) and (6,9). What is its equation in point-slope form?
Answer:
y = 1/3x + 7
Step-by-step explanation:
A line includes the points (9,10) and (6,9). What is its equation in point-slope form?
slope = change in rise/change in run
so:
slope = change in y/change in x
you are given two points in (x , y) format, points are: (9,10) and (6,9) [second in each pair are the y values]. Figure change in y and x:
y: 10 - 9 = 1
x: 9 - 6 = 3
so slope =y/x = 1/3
slope intercept form is: y = mx + b where m = slope. Substitute in value previously found for slope:
y = 1/3x + b
Now, you need to find y intercept, or b. Using one of the points given, we will use the first one (9,10), calculate for b:
y = 1/3x + b
10 = 1/3(9) + b
10 = 3 + b
subtract 3 from both sides:
10 - 3 = 3 + b - 3
b = 7
Put this into your equation: y = mx + b
y = 1/3x + 7
f(x) = 3x - 3, find f (-4)
Answer:here x=-4
Step-by-step explanation:
3(-4)-3=-15
What’s the correct answer answer asap for brainlist
A printing service charges a set-up fee of $14.50 for each order and 15 cents more for each copy. The total cost, C (in dollars), for an order of x copies is given by the following function.
C (x) = 0.15x + 14.50
What is the total cost for an order of 30 copies?
Answer: $19
Step-by-step explanation:
Since we want 30 copies, let x=30.
[tex]C(30)=0.15(30)+14.50=19[/tex]
how do I graph r=6+3sintheta ?
Given:
[tex]r=6+3\sin \theta[/tex]Let's graph the equation.
Apply the formula:
[tex]r=a\pm b\sin \theta[/tex]Where:
a = 6
b = 3
Thus, we have the following:
Subsitute -θ for θ to know thw axis of symmetry:
[tex]\begin{gathered} r=6+3\sin (-\theta) \\ \end{gathered}[/tex]Now, solve for θ = 1 and -1:
[tex]\begin{gathered} r=6+3\sin (1) \\ r=6.05 \\ \\ r=6+3\sin (\text{ -1)} \\ r=5.94 \end{gathered}[/tex]Since sinθ is not equal to sin(-θ), the pole will be the point of symmetry.
To find the x-intercept, substitute 0 for θ:
[tex]\begin{gathered} r=6+3\sin \theta \\ \\ r=6 \end{gathered}[/tex]Hence, the limacon will cross the x-axis on both sides at x = 6 and -6.
Since the addition is with the sine function, the limacon will face down.
Now, input different values for θ and solve for r.
We have:
When θ = pi/2:
[tex]r=6+3\sin (\frac{\pi}{2})=9[/tex]When θ = pi:
[tex]r=6+3\sin (\pi)=6[/tex]When θ = 9pi/6:
[tex]r=6+3\sin (\frac{9\pi}{6})=3[/tex]Thus, we have the points:
[tex](\frac{\pi}{2},9),(\pi,6),(\frac{9\pi}{6},3)[/tex]Using the coordinates we have the graph:
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x) = 2 f (x - 1)
ights reserved
Drawing Tools
Select
Line
Click on a tool to begin drawing
-8
-6 4
Undo
Reset
The finished graph of g(x) = 2f(x - 1) would be as seen in red.
What is defined by the term transformation?Image transformations usually involve the modification of various bands of data, either from a single source images or from two or more images acquired at different times of the same area.We were provided a graph of the function f(x).
g(x) = 2f is another function definition (x -1).
Now we must use the drawing tool(s) to create the proper graph of a function g(x) = 2f (x -1).
which can be discovered through transformation.
f(x) becomes f (x-1)
Then, f(x-1) becomes 2f (x-1)
f(x-1) shifts this same graph of f(x) by one unit to the right.
Whereas 2f(x-1) extends the graph of f(x-1) by a factor of 2. So we just need to double the y-coordinates of the points on the graph.
As a result, the finished graph of g(x) would be as seen in red.
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Jen purchased the items shown in the table.
Item Cost ($)
shirt 11.99
shoes 35.50
belt 6.75
socks 3.00
In the city she lives in, the sales tax rate is 7.15%. In another city, the sales tax rate is 6.35%. How much more is she spending if she purchases the items in the city where she lives? Round to the nearest cent.
She spends the cost of $0.46 if she purchases the items in the city where she lives.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The given data below as:
Cost of the shirt = $11.99
Cost of the shoes = $35.50
Cost of the belt = $6.75
Cost of the socks = $3.00
Total cost of the items = 11.99 + 35.50 + 6.75 + 3.00
Total cost of the items = $57.24
In the city she lives in, the sales tax rate is 7.15%.
Total cost of the items with tax of 7.15%
= 57.24 × 7.15/100 + 57.24 = 4.092 + 57.24 = $61.33
In another city, the sales tax rate is 6.35%
Total cost of the items with tax of 6.35%
= 57.24 × 6.35/100 + 57.24 = 3.633+ 57.24 = $60.87
Hence, she spends the cost of $0.46 if she purchases the items in the city where she lives.
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Help DUE by 10:00 pm help
A regular polygon is shown.
15 sided regular polygon
Determine the measure of one of its angles.
156°
168°
2,340°
2,700°
The measure of the given polygon's angle is 2340°
Polygons are two-dimensional closed objects in geometrical mathematics where n number of line segments cross each other to generate n number of vertices. A triangle is a polygon with three sides, for instance.
In an n-sided polygon, there are n inner angles.
The total of all interior angle measurements in a polygon is always constant and is denoted by the notation "n" for the number of sides in the polygon.
the formula is ;
Sₙ = ( n - 2 ) 180°
Here in question n is given as 15
Thus Sₙ = ( n - 2 ) 180° becomes
Sₙ = ( 15 - 2) 180
13 × 180
= 2340 °
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John's utility bills for the last five months are $23.84, $23.87, $20.48, $29.75, and $28.34. Find John's mean utility bill over this period.
Answer:
[tex]\text{ \$25.26}[/tex]Explanation:
Here, we want to get the mean utilit bill over the period
Mathematically, that means we have to find the average of his utility bills in that period
To get this,we have to divide the sum of all these values by the count of these values (5)
Mathematically, we have this as:
[tex]\frac{23.84\text{ + 23.87 +20.48 + 29.75 + 28.34}}{5}=\text{ }\frac{126.28}{5}\text{ = \$25.26}[/tex]In the equation y = 3x + 2, the expression f(x) would replace which part of the equation.
In the equation y = 3x + 2, the expression f(x) would replace which part of the equation.
Answer: y will be replaced by the expression f(x).
(-7) -4 evaluate expression
Answer:
28
Step-by-step explanation:
To evaluate this expression, multiply the two numbers.
-7x-4=28
28 is not negative because a negative times a negative is positive.
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The production cost of x computers for a company over one year is $175x + $150,000. To minimize production costs in a given year to $465,000, how
many computers can the company make in that year?
Answer:
I'm pretty sure it's 1800!!
Which equation represents a proportional relationship A y=3x/4B y=3/4x C y=3x/4 +1D y=3/4x +1
Answer: Out of the given options, we need to pick a relationship that is proportional:
In general, an equation that represents a proportional relationship has the following form:
[tex]y=kx[/tex]Therefore, the following is a proportional equation:
Option-(A)
[tex]\begin{gathered} y(x)=\frac{3}{4}x \\ k=\frac{3}{4} \end{gathered}[/tex]Explanation:
Because there is a constant multiple or a coefficient, and it indeed matches the form of equations that are proportional.
Complete the sentence
Percent means per _______.
Answer:
Percent means parts per hundred.
Step-by-step explanation:
Percent comes from the Latin phrase per centum which means per hundred. The % symbol is used to represent percent.
Example: 54/100 is equal to 54%.
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The length of a rectangle is 2 cm longer than its width.
If the perimeter of the rectangle is 44 cm, find its area.
Answer:
perimeter = 2(b x L)
p° 2(2+20)
= 22X2 =44cm
area = B x W
a = 20x 2 =40 cm²
2. The hypothetical market for flu shots is depicted in the graph below where market equilibrium quantity is 20 flu shots and market equilibrium price is $20 per shot. Assume that there was an external benefit of $20 per flu shot (value of the flu shot by an individual that accrues to bystanders). What would be the socially optimal quantity of flu shots considering the effect of this external benefit? Answer = ____ flu shots How much of a subsidy per shot would make the market equilibrium outcome be equal to the socially optimal equilibrium? Answer = $____ per flu shot (/2.0 Points)
The socially ideal dose of 40 flu vaccines may be determined by the external beneficial effect. While a $10 subsidy for each flu shot would bring the market equilibrium's result into line with the ideal situation for society.
In order to determine customer interest in and market demands for products that are currently in development, hypothetical scenario marketing uses product surveys and made-up scenarios. Utilizing hypothetical marketing can assist small business owners in allocating resources to product categories where customers have shown a need and desire.
The presented example is a positive externality situation since there is an external social benefit and the market equilibrium quantity is lower than the level of output that would be considered optimal for society because it ignores the external benefit. The subsidy is applied to either produce internalities or address externalities per unit.
At each level, there will be a $20 rightward shift in the marginal social benefit curve. With this external benefit effect in mind, 40 shots of the flu vaccine would be the most beneficial for society. The market equilibrium result would be identical to the socially ideal equilibrium with a $10 subsidy for each flu vaccine.
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