9514 1404 393
Answer:
$4.47 per pound
Step-by-step explanation:
Your cost is ...
$1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb
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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Check for Understanding: Karen found a job with an annual
salary of $67.3K. What is her monthly pay, rounded to the
nearest dollar
Answer:
5,608
Step-by-step explanation:
The total monthly pay of Karen is given by the equation A = $ 5,608
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total monthly pay of Karen be = A
Now , the equation will be
Let the annual pay of Karen be B = $ 67.3 K
1 K = 1000
The value of B = 67.3 x 1000
The value of B = $ 67300
So , annual pay of Karen B = $ 67300
Now , the monthly pay of Karen = annual pay of Karen / 12
Substituting the values in the equation , we get
The monthly pay of Karen A = $ 67300 / 12
The monthly pay of Karen A = $ 5,608.33
Rounding to the nearest dollar , we get
The monthly pay of Karen A = $ 5,608
Therefore , the value of A is $ 5,608
Hence ,
The total monthly pay of Karen is given by the equation A = $ 5,608
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help me solve it with step by step explanation I'll give 50 points whoever solve it
Answer:
Step-by-step explanation:
P=2l+2A/l
=2x18+2x126/18
=2x18+14
=30
没有给出三角形的长度,如果存在则找到三角形的面积并加上30cm
希望有帮助!祝你有美好的一天!
a system of equations is shown. y=3x+2 y=x-2 , Graph the system of equations to show its solution
To graph the two lines, we can plot two points on each line and connect them with a straight line. For y = 3x + 2, we can choose x = 0 and x = 1 to get the points (0, 2) and (1, 5), respectively. For y = x - 2, we can choose x = 0 and x = 1 to get the points (0, -2) and (1, -1), respectively.
In the graph: The red line represents y=3x+2 and the blue line represents y=x-2
Explain the term straight line
A straight line is a geometric figure that extends infinitely in both directions and has no curvature or bends. It is the shortest distance between two points and can be described using various mathematical equations, such as y = mx + b, where m is the slope and b is the y-intercept. Straight lines are used in various fields, including geometry, physics, and engineering, to represent and analyze the relationships between objects or points.
According to the given information
To graph the system of equations y = 3x + 2 and y = x - 2, we can plot the two lines on the same coordinate plane and find the point where they intersect.
First, we can find the point of intersection by setting the two equations equal to each other:
3x + 2 = x - 2
Simplifying, we get:
2x = -4
x = -2
Substituting this value of x back into one of the equations, we get:
y = (-2) - 2 = -4
So the solution to the system of equations is the point (-2, -4).
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The number of students, y, still participating in the final round of a school spelling bee compared to the number of spelling words attempted, x, can be represented by a scatter plot with a negative, linear association. Which equation for a line of best fit could be used to represent the number of students still participating in the final round of the school spelling bee given a number of spelling words attempted?
The possible line of best fit is given by y = -0.5x + 10
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Let y represent the students still participating in the final round while x represent the number of spelling words attempted.
Since the line of best fit has a negative, linear association, this means that the slope is negative. A possible linear function is:
y = -0.5x + 10
The possible line of best fit is given by y = -0.5x + 10
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If a coin is tossed 3 times, and then a standard six-sided die is rolled 4 times, and finally a group of four cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
Answer:
67,365,043,200
Step-by-step explanation:
A coin toss has 2 possible outcomes. A coin tossed 3 times has 2³ = 8 possible permutations.
A standard die has 6 possible outcomes. A die rolled 4 times has 6⁴ = 1296 possible permutations.
The number of ways 4 cards can be chosen from a deck of 52 without replacements is 52×51×50×49 = 6,497,400.
The total number of possible outcomes is:
8 × 1296 × 6,497,400 = 67,365,043,200
Find the distance between each pair of points (43,-15) (29,-3)
Answer:
2√85
Step-by-step explanation:
- distance formula is √(x2-x1) squared +(y2-y1) squared
- Substitute your points into the formula
-simplify and get the answer
please help
please hury
The relation that is a function is relation (b)
How to determine the relation that is a function?The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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What is the cost of a pair of shoes if they retail for $18.50, have a tax of 6%, and you have a coupon for 20% off after taxes
Answer:
$15.69
Step-by-step explanation:
multiply the retail price by 1.06 to get the price after taxes.
find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that her total annual retum is 13% of the total amount she has invested?
Answer:
Step-by-step explanation:
Interpreting as: 6000
Input:
6000
Number line:
Number line
Number name:
six thousand
Roman numerals:
\!\(\("V"\)\&_\)M
Binary form:
1011101110000_2
Prime factorization:
2^4×3×5^3
Residues modulo small integers:
m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9
6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6
Properties:
6000 is an even number.
6000 is a number that cannot be written as a sum of 3 squares.
6000 has the representation 6000 = 3^5 5^2 - 75.
6000 divides 49^10 - 1.
Character code 6000:
| Tagbanwa letter sa
Unicode: U+1770 (decimal: 6000)
Mathematica: \:1770
(Tagbanwa)
lucia draws a square and plots the center of the square. (image)
Answer:
C
Step-by-step explanation:
Lucia's claim is correct since any rotation that is a multiple of 45° carries a square onto itself
3(9z+4) > 35z - 4
What is z
\(3(9z+4) > 35z - 4\)
\(27z + 12 > 35z - 4\)
\(12 + 4 > 35z - 27z\)
\(16 > 8z\)
\( \frac{16}{8} > z\)
\(2 > z\)
A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 13.2 inches and standard deviation of 2.3 inches. If a sample of 37 items are chosen at random, what is the probability the sample's mean length is greater than 12.1 inches? Round answer to four decimal places.
The probability that the sample's mean length is greater than 6.3 inches is0.8446.
Here, we have,
Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.
We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.
Probability is the likeliness of happening an event.
It lies between 0 and 1.
Probability is the number of items divided by the total number of items.
We have to use z statistic in this question because the sample size is greater than 30.
μ=6.5
σ=0.5
n=46
z=X-μ/σ
where μ is mean and
σ is standard deviation.
First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.
z=6.3-6.5/0.5
=-0.2/0.5
=-0.4
p value from z table is 0.3446
Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.
Hence the probability that the mean length is greater than 6.3 inches is 0.8446.
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which ratios have a unit rate less than 1 ? choose all that apply
Answer:
2 feet : 12/5 minutes
1/8 foot: 1 2/3 minutes
3 feet : 4 2/3 minutes
1 5/8 feet :2 minutes
Step-by-step explanation: just did it on I-ready
The first used 20 gal of fuel and the second used 25 gal. The 2 drove 1450 miles and the sum of their fuel efficiencies was 65 miles per gal. What we’re each car fuel efficiency?
Answer: there you go :)
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
Step-by-step explanation:
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850 eq1
x+y = 50 eq2
Substituting eq 2 into eq 1,
35x+40(50-x) = 1850
35x+2000-40x = 1850
-5x+2000 = 1850
-5x = -150
x = 30
Substitute value of x into eq 2.
x+y = 50
30+y = 50
y = 20
Car 1 consumes 30 gallons of gas.
Car 2 consumes 20 gallons of gas.
find x and y (Please answer)
Answer:
X=58
Y=32
Step-by-step explanation:
Right angle is 90°
90-58=32
The one thats 58° is opposite on x so they are th same what means y is 32°
I GIVEEE BRAINLILSTTT
Answer:
it's a reduction because it's smaller than the original shape
Step-by-step explanation:
(a reduction means the new shape is smaller than the original, and an enlargement means the new shape is bigger than the original one)
Answer:
Step-by-step explanation:
reduction
PLEASE I NEED HELP the question is,
In the diagram of triangle LAC and triangle DNC below, LA = DN, CA = CN, and DAC is perpendicular to LCN.
a) Prove that triangle LAC = triangle DNC.
b) Describe a sequence of rigid motions that will map triangle LAC onto triangle DNC.
Answer:
1244 DCD
Step-by-step explanation:
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
One set of markers costs x dollars. Express using algebras. If Jen has $15.00, how much money will she have after buying a set of markers?
The money Jena will have after buying a set of markers in algebra expression is y = 15 - x.
Arithmetic operations like subtraction, addition, division, multiplication, and exponentiation are used to combine variables and integers to produce any algebraic expression. A variable, a number, or a variable and number with an exponent as a product can all be used as the phrase.
Cost is the amount of money spent by a business to produce or create goods or services.
The cost of one set of markers is x dollars.
Now Jen has a total of $15.
Then, the amount of money "y" Jena will have after buying one set of markers will be:
y = 15 - x
Hence, the algebraic expression after buying one set of markers is y = 15 - x.
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A line that describes a proportional relationship between x and y is graphed on a coordinate grid. The line passes through (6, 2). Through what other point must the line pass?
The other point through which a line that describes a proportional relationship must pass is the point (0, 0)
What is a proportional relationship?A proportional relationship is one in which each the ratio of the x and y–values of each point on the line of the function is a constant.
The given relationship described by the line = A proportional relationship
The given point on the line = (6, 2)
Required; The other point through which the line must pass.
Given that the relationship described by the line, the ratio of all points on the line is a constant and each point (x, y) can be expressed in the form;
y = K•x
Which gives;
\( \displaystyle{ K = \frac{y}{x} }\)
Where, K is a constant which is not equal to zero.
From the zero product property, which states that the product of all numbers and zero is also zero, we have;
When x = 0, k × 0 = 0 = y
A point through the line must pass is therefore; (0, 0)
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Referring to the figure, what is the slope of the
line? pls quick
Answer:
26) 70
27) 12.86 sec
28) 350 feet
Step-by-step explanation:
26) Given points A(0, 0) and B(16, 1120)
slope m = \(\frac{y_2-y_1}{x_2-x_1}\)
\(=\frac{1120-0}{16-0}\\ \\=\frac{1120}{16}\\ \\=70\)
slope = 70
27) eq of a line is :
y = mx + c
y = 70x + c
Since the line passes through A(0,0) substituting the points in the equation,
0 = 70(0) + c
⇒ c = 0
eq of line: y = 70x
given distance is 900 ft
y = distance and x = time
⇒ y = 900
sun in eq,
900 = 70x
⇒ x = 900/70
⇒ x = 12.86
28) time is 5 sec
⇒ x = 5
sub in eq
y = 70(5)
⇒ y = 350
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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A cylinder has the net shown.
net of a cylinder with diameter of each circle labeled 3.8 inches and a rectangle with a height labeled 3 inches
What is the surface area of the cylinder in terms of π?
40.28π in2
22.80π in2
18.62π in2
15.01π in2
Answer: It is 18.62 or c
Step-by-step explanation:
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answer: 25
Step-by-step explanation:
According to the last census (2010), the mean number of people per household in the United States is (https://www.census.gov/content/dam/Census/library/publications/2012/dec/c2010br-14.pdfLinks to an external site.). Assume a standard deviation of . You plan to take a random sample of 110 households, what is the probability the sample mean household size is between 2.5 and 2.66 people? (round your probabilities to three decimal places)
0.738 is the probability the sample mean household.
How does sampling distribution work?
When selecting random samples from a particular population, statisticians create a probability distribution of that statistic, which is known as a sampling distribution.
It reflects the frequency distribution of how widely spaced different outcomes will be for a particular population and is also referred to as a finite-sample distribution.
we have to determine P[ 2.5 < X < 2.66]
μₓ = 2.58
σₓ = σ/√n = 0.75/√110 = 0.07150969
= p[2.5 < x < 2.66]
= P[X < 2.66] - P[X < 2.5]
= P[ X - μₓ/σₓ < 2.66 - 2.58/0.07150969] - P[ X - μₓ/σₓ < 2.50 - 2.58/0.07150969]
= P[ Z < 1.12] -P[Z< -1.12]
= 0.8686 - 0.1314
= 0.737
P[Z< 1.12] - P[Z < -1.12]
= 0.869 - 0.131
= 0.738
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help pls. it would be much appreciated
Step-by-step explanation:
By Sine rule, BC/sin93° = 11/sin42°.
Therefore BC = 16.4.
Question 10 of 10
The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the
pressure P. Suppose that V = 160 cm³ when T=320 kelvin and P = 12
kg
temperature when V = 90 cm³ and P = 16-
kg
cm²
kelvin
cm²
2
Find the
9w3=ybrie X raw osvni ashuv jart
The required temperature is 180K
Direct and inverse variationDirect variation shows that when a variable is increasing or decreasing the other variable is also increasing/decreasing.
If the volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P, this is expressed as
V = kT/P
Given that
V = 160 cm³ when T=320 kelvin and P = 12kg, hence;
160 = 320k/12
1 = 2k/12
2k = 12
k = 6
If V = 90 cm³ and P = 16kg/cm², then the value of the temperature is expressed as:
90 = 6T/16
15 = T/16
T = 15 * 16
T = 180K
Hence the required temperature is 180K
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what type of number cannot be written as a fraction p/q, where p and q are intergers and q is not equal to zero
Answer:
irrational numbers
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction p/q for any integers p and q.
Hi there!
»»————- ★ ————-««
I believe your answer is:
Irrational Number
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The definition that is given in the question was the definition of a irrational number.A number that cannot be written as a fraction with two integers is called a irrational number. Some examples of irrational numbers are non-terminating decimals that do not repeat and non-perfect squares. A number that CAN be written as a fraction with two integers is called a rational number.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.