Answer: $45
Step-by-step explanation: 3/4 of 60
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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AFTER working through the suggestion questions, Zanele realises that the questionnaire is not suitable.List two reasons why you think that the given questionnaire is NOT suitable.
The answer of the given question based on the Zanele realize that the questionnaire is not suitable the reasons are given below,
What is Data?Data is collection of information or facts that are organized in structured or unstructured form. It can be in various forms, like numbers, text, images, audio, and video.
There could be several reasons why the given questionnaire is not suitable for Zanele's needs, but here are two possible reasons:
Inadequate or irrelevant questions: The questionnaire may not contain enough questions or may contain questions that are not relevant to the specific topic or research question. This could result in incomplete or unreliable data that do not accurately reflect the views or experiences of the target population.Biased or leading questions: The questionnaire may contain biased or leading questions that sway respondents towards certain responses or limit their options. This could result in inaccurate or misleading data that do not reflect the full range of opinions or experiences of the target population. Biased questions can also lead to unethical research practices and damage the credibility of the research results.To know more about Population visit:
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Por qué estaría el cuervo parado en la rama de un árbol con un trozo de queso en el pico.
El cuervo está parado en una rama con un trozo de queso en el pico debido a que tenía la intención de reservarlo para otra ocasión. No obstante lo pierde por creer en el zorro.
¿Por qué estaría el cuervo parado en una rama de un árbol con un trozo de queso en el pico?El cuervo estaría parado en una rama de un árbol con un trozo de queso en el pico debido a que le gustaba reservar comida para tener provisiones disponible para ocasiones futuras. No obstante, en la fábula se menciona que se encuentra con el zorro que tiene el proposito de quitarle el trozo de queso.
Para ello, el zorro comienza a adular al cuervo para que cante y este cae en la trampa, soltando el trozo de queso. Luego de esto, el zorro toma el trozo de queso y se va.
Nota: Esta pregunta está incompleta debido a que tiene información faltante. A continuación se menciona la información faltante.
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An online retail company determined that their cost for each day, x, can be determined by the function c(x)=2x^2-20x+70 and their venue by the function R(x)=-x^2+5x+22. how many days willit take for the compant to earn profit?
i. 20
ii. 28
iii. 3
iv. 5
Using the profit concept, it is found that the number of days that will take for the company to earn a profit is given by:
iii. 3 Profit:Profit is given by revenue subtracted by costs.In this problem:
The cost function is: \(c(x) = 2x^2 - 20x + 70\).The revenue function is: \(R(x) = -x^2 + 5x + 22\).Hence, the profit function is:
\(p(x) = R(x) - c(x)\)
\(p(x) = -x^2 + 5x + 22 - (2x^2 - 20x + 70)\)
\(p(x) = -3x^2 + 25x - 48\)
Using a graphing calculator, it is found that the profit is positive after 3 days, hence, option iii is correct.
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Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
the shape is a rectangular prism. find the lateral surface area of the shape. then enter your answer without units below.
The lateral surface area of a rectangular prism is 2(l + w)h sq units.
A rectangular prism is a three-dimensional shape, that has six faces (two at the top and bottom and four are lateral faces).
All the faces of the prism are rectangular in shape. Hence, there are three pairs of identical faces here. The lateral surface area of a rectangular prism is the sum of the surface area of all its faces without the base of the rectangular prism. The lateral surface area of any right rectangular prism is equivalent to the perimeter of the base times the height of the prism.The lateral surface area of a rectangular prism is given by
2(l + w)h sq unitsWhere l, w, and h are the length, width, and height, respectively. To find the lateral surface area, we need the values of l, w, and h.
Without these values, it is not possible to determine the lateral surface area of the rectangular prism.
Therefore, the lateral surface area of a rectangular prism is 2(l + w)h sq units.
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Is -8 a whole number
Answer:
yes of course it is a whole number sinse it is a number that would be on a number line
Answer:
yes
Step-by-step
An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its 15th term.
Answer:
a₁₅ = 142
Step-by-step explanation:
General form of an arithmetic sequence:
\(\boxed{a_n=a+(n-1)d}\)
where:
\(a_n\) is the nth term.a is the first term.d is the common difference between terms.n is the position of the term.Given:
d = 10a₆ = 52Substitute the given values into the formula and solve for a:
\(\begin{aligned}a_n&=a+(n-1)d\\52&=a+(6-1)10\\52&=a+(5)10\\52&=a+50\\a&=52-50\\\implies a&=2\end{aligned}\)
Substitute the found value of a and the given value of d into the general formula to create an equation for the nth term:
\(\boxed{a_n=2+10(n-1)}\)
To find the 15th term, substitute n = 15 into the found equation:
\(\begin{aligned}a_n&=2+10(n-1)\\a_{15}&=2+10(15-1)\\a_{15}&=2+10(14)\\a_{15}&=2+140\\\implies a_{15}&=142\end{aligned}\)
Therefore, the 15th term of the given arithmetic sequence is 142.
Answer: a₁₅=142
Step-by-step explanation:
\(6th\ term\ is\ a_6=52\ \ \ \ \ \\a\ common \ difference\ d\ is\ 10\\to\ find\ 15th\ term\ a_{15}\\\\\boxed {a_n=a_1+d(n-1)}\\\\Hence,\\a_6=a_1+10(6-1)\\52=a_1+10(5)\\52=a_1+50\\52-50=a_1+50-50\\2=a_1\\Thus,\ a_1=2\\a_{15}=a_1+10(15-1)\\a_{15}=2+10(14)\\a_{15}=2+140\\a_{15}=142\)
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
Answer:
the equation is : 7x + 15 + 15 = 17xand x = 3Step-by-step explanation:
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
7x + 15 + 15 = 17x
30 = 10x
x = 3
--------------------
check
7×3+15+15=17×3
21 + 30 = 51
51=51
the answer is good
Answer:
17x=30+7x
Step-by-step explanation:
3. A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. (20 points)
a. What is the plane's speed in miles per hour?
b. At this rate, how many miles can it travel in 10 hours?
Answer:
a. The plane's speed in mph is 560
b. At this rate, the plane can travel 5,600 miles in 10 hours.
Step-by-step explanation:
In order to find the planes speed in mph, some simple arithmetic must be done and you should divide 3,360 by 6. Now that you have determined that 3,360/6 equals 560, you know that in order to figure out how many miles the plane can travel in 10 hours, all you must do is multiply 560 by 10 which equals 5,600.
Answer:
A. 560B. 5,600Step-by-step explanation:
A. = 3,360 / 6 = 560B. = 560 x 10 = 5,600In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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drag each expression to the correct location on the table. determine which expressions represent purely real numbers and which expressions represent non-real complex numbers.
The expression 9/4 is a real number, whereas the expression 9i is a non-real complex number.
Real Numbers:
9/4
The expression 9/4 is a real number. This can be seen by dividing the numerator (9) by the denominator (4) to get the answer 2.25. This is a real number as it can be written with a decimal.
Non-Real Complex Numbers:
9i
The expression 9i is a non-real complex number. This can be seen by taking the coefficient (9) and multiplying it by the imaginary number i. The result is 9i, which is a non-real complex number because it cannot be written with a decimal. The imaginary number i is defined as the square root of -1, which is not a real number.
The expression 9/4 is a real number, whereas the expression 9i is a non-real complex number.
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why wealthy colonists used the Africans as workers? help asp
Answer:
they provided cheap labour
Step-by-step explanation:
this is because Africans were sold as slaves to the rich colonialists.
Simplify the Expression:
3x + 6 - 2x +7
pls give simple working out
x is 146 degrees
This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees
180 - 34 = 146
Answer: x = 146°
Step-by-step explanation:
Given that y = 35°, Using linear pair
x+y = 180
x+35=180(Substitute value of y)
x=180-35(Transposition Method)
x=145°
Josh tied a helium-filled balloon to a stake in the ground. The wind blew it so that the 10-foot string attached to the balloon made an angle of 45° with the ground.
The height of the balloon above the ground is about 7.07 feet.
What is trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the balloon from the ground, hence:
sin(45) = h/10
h = 7.07 feet
The height of the balloon above the ground is about 7.07 feet.
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Solve The Inequality
–5w ≤ 30
Answer:
w≥-6
Step-by-step explanation:
You need to solve the equation -5w ≤ 30.
The only step is for us to divide each side by -5.
*note*
Since it's a negative number, we reverse the sign:
-5w ≤ 30
w ≥ -6
Therefore the answer is w≥-6
1 )Divide both sides by −5.
w ≥ \(-\frac{30}{5}\)
2 )Simplify \(\frac{30}{5}\) to 6.
w ≥ -6
M is a directly proportional to r cubed when r=4 M=160
1) work out the value of M when r=2
2) work out the value of r when M=540
Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
\(M = ar^3\)
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
\(M = ar^3\)
\(160 = a(4^3)\)
\(64a = 160\)
\(a = \frac{160}{64}\)
\(a = 2.5\)
So
\(M = 2.5r^3\)
1) work out the value of M when r=2
\(M = 2.5*2^3 = 2.5*8 = 20\)
When r = 2, M = 20.
2) work out the value of r when M=540
\(M = 2.5r^3\)
\(540 = 2.5r^3\)
\(r^3 = \frac{540}{2.5}\)
\(r^3 = 216\)
\(r = \sqrt[3]{216}\)
\(r = 6\)
When M = 540, r = 6.
The percentage of teenagers who will have more than one episode of depression within two years is between 15% and39%, inclusive. Let p be the percentage of teenagers who will have more than one episode of depression within twoyears. Describe the values of p using inequality notation, interval notation, and a graph.
ANSWER
• Inequality notation: 15 ≤ p ≤ 39
,• Interval notation: [15, 39]
,• Graph: ,see explanation section
EXPLANATION
If p is the percentage of teenagers who will have more than one episode of depression within two years, and this is between 15% and 39%, inclusive, it means that p is greater than or equal to 15 and less than or equal to 39. In inequality notation, 15 ≤ p ≤ 39.
Interval notation is the one where we use parenthesis () and/or brackets [] to express an interval. In this case, the interval is continuous between 15 and 39 and includes the two values, so we have to use brackets: [15, 39].
In a graph, we can draw a number line and highlight the line between 15 and 39, using filled circles to include those two values - sometimes brackets are used instead,
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = 11x − x^2, y = 28; about x = 4
Answer:
27π/2
Step-by-step explanation:
The differential of volume is the product of a differential of area and the circumference of the revolution of that area about the given axis. The limits of integration in the x-direction are where y=28 crosses the curve, at x=4 and x=7.
\(dV=2\pi(x-4)(y-28)\,dx\\\\dV=2\pi(x-4)(-x^2+11x-28)\,dx=2\pi(-x^3+15x^2-72x+112)\,dx\\\\\displaystyle V=\int_4^7{dV}=2\pi\int_4^7{(-x^3+15x^2-72x+112)}\,dx\\\\=2\pi\left(\dfrac{4^4-7^4}{4}+15\dfrac{7^3-4^3}{3}-72\dfrac{7^2-4^2}{2}+112(7-4)\right)=2\pi\dfrac{27}{4}\\\\\boxed{V=\dfrac{27\pi}{2}}\)
_____
Check
The parabola's vertex is (5.5, 30.25), so its area above the line y=28 is ...
A = (2/3)(7 -4)(30.25 -28) = 4.5 . . . square units
The centroid of that area lies on the line x=5.5, a distance of 1.5 from the axis of rotation. So, the volume of revolution is ...
V = 2π(1.5)(4.5) = 27π/2 . . . matches the above
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
5
Answer:
x = 10
Step-by-step explanation:
In an equilateral triangle, the altitude, or height is also the median and angle bisector. So, we can say a side of the equilateral triangle is 2 x 5 or 10. Every side of an equilateral triangle is congruent, so x is 10.
please help
i really need help
only answer if u know the answer
and no links please
Answer:
The correct answer is 17.96875 or approximately 18 inches.
Step-by-step explanation:
Since the ratio of the model truck to the real truck is 5:64, and the length of the truck is 230 inches, that means the length of the model truck would be \(\frac{5}{64} * 230\) = \(\frac{575}{32}\) = 17.96875 ≈ 18 inches.
Which equation is equivalent to 8x + 3(x + 5) - 5(x - 4) = 2?
Answer:
x = -11/2
Step-by-step explanation:
In early spring, you are wanting to purchase 6 potted rose plants. The plants to choose from come in 8-inch pots that sell for $12 and 10-inch pots that sell for $15. If you spend $78, which of the following are the equations for this scenario? Let x = number of 8-inch pots and let y = number of 10-inch pots
We can only buy two kinds of pots, the 8-inch pots or 10-inc pots. The price of each pot multiplied by the total of pots of that kind that we bought must be equal to the total amount we spent. So we can write the first equation as shown below:
\(12\cdot x+15\cdot y=78\)The only possible option with this answer is the last one. "x + y = 6 and 12x + 15y = 78".
(Ill give BRAINLIEST and extra POINTS!!!)
Solve 9,396 ÷ 18 = __________ Using partial quotients.
Draw it out.
(Pls draw it out. Dont give me the answer by just saying "311" or "299". I want u to draw it out and then write the answer in the drawing :) )
Answer:522
522x18= so 522x8=4176 522x1=522 add those up and get 4176+522=4698
Step-by-step explanation:
7(-12n-3) + 10(6n + 7)
Simplify equation
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
I do not understand why the answer is a) for this equation: y'=2y+x. I assumed that the answer is c) or a), because numbers in the equation are positive, but I'm not sure this is the correct method here
The slope field for the differential equation would be D . Graph D .
What are slope fields ?A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .
The length of line segments represents the magnitude, while the direction indicates the sign of the slope.
The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.
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E
Three children are sharing 4 pizzas. Each child
should have the same amount of pizza. How
much pizza can each child have?
Answer:
4 slices of pizza I think
Select the correct answer
What is the range of this function?
Please help it’s multiple choice wil choose brain list an 100 points!!!!!
LETTER B IS THE CORRECT ANSWER