Answer:
x = 11
Step-by-step explanation:
2(x - 5) = 12 ← divide both sides by 2
x - 5 = 6 ( add 5 to both sides )
x = 11
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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Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
The probability that the next customer will pay with a credit card will be 0.26 or 26%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Bilquis owns a small business selling used books. She knows that in the last week 49 customers paid cash, 42 customers used a debit card, and 32 customers used a credit card.
Then the probability that the next customer will pay with a credit card will be
\(\rm P = \dfrac{32}{123}\\\\ P = 0.26\)
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Answer:
The answer is .26
Step-by-step explanation:
32/123
0.260162...
Which of the following equations, represents the line with a slope of 2/3 and a y-intercept of 9?
1) y = 3/2x-9
2) y = 3/2x + 9
3) y = 2/3x = 9
4) y = 2/3x + 9
Step-by-step explanation:
Equation of line:
\(y = mx + c\)
where m is the slope
and c is the y-intercept
given the information from the question,
m = 2/3 , c = 9
substituting the values in,
equation of the line is
\(y = \frac{2}{3} x + 9\)
a farmer first aid to 50 bags of maize in our season him he sold 200 bags what percentage of his clothes does this represent
In a case whereby farmer harvested 250 bags of maize in a season. If he sold 200 bags, the percentage of his crops does this represent is 80%.
How can the percentage of his crops be calculated?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
harvested =250 bags
sold =200 bags
percentage of his crops = 200/250 *100%
= 80%
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This is the correct question:
A farmer harvested 250 bags of maize in a season. If he sold 200 bags, what percentage of his crops does this represent?
zBienvenue dans le presse-papiers Gboard. Le texte que vous copiez est enregistré ici.Appuyez sur un élément pour le coller dans le champ de texte.Bienvenue dans le presse-papiers Gboard. Le texte que vous copiez est enregistré ici.Appuyez sur un élément pour le coller dans le champ de texte.Appuyez de manière prolongée sur un élément pour l'épingler. Les éléments retirés seront supprimés au bout d'une heure.Utilisez l'icône de modification pour épingler, ajouter ou supprimer des éléments.Appuyez de manière prolongée sur un élément pour l'épingler. Les éléments retirés seront supprimés au bout d'une heure.
Why all these changes announced today?
A fresh analysis published by the UK Health Security Agency suggests the Omicron variant will be responsible for at least 50% of Covid cases within two to four weeks.
The prediction is based on the number of cases judged to be suspected Omicron from testing data.
That shows around 2% of daily cases are being caused by the new variant. If that is correct it would mean there are about 1,000 Omicron cases every 24 hours.
What is more, the cases are thought to be doubling every two or three days.
What is not yet known is whether Omicron will completely replace Delta, the variant that is currently dominant.
Which inequality about the number line shown below is true
i got it wrong dont lisen to this
Answer:
option D
Step-by-step explanation:
D is equal to 0 that is greater than B which is -2 by theory
The coach requires his players to practice six and one over two.hours each week. The table below shows how long Jackson practiced this week. How much time does he need to practice in his last practice session meet his coach’s requirement?
Practice Session
Time (hours)
1
time in hours. one and one over six.
2
time in hours. two and one over two.
3
time in hours. two over three
4
?
two and one over three hours
two and one over six hours
two and five over six hours
four and one over three
Answer:
\(2\frac{1}{6}\ hours\)
Step-by-step explanation:
Given
\(Session\ 1: 1\frac{1}{6}\)
\(Session\ 2: 2\frac{1}{2}\)
\(Session\ 3: \frac{2}{3}\)
\(Total\ Time = 6\frac{1}{2}\)
Required
Determine the time in the last session
Represent the 4th session with x
So, we have:
\(Session\ 1 + Session\ 2 + Session\ 3 + x = Total\ Time\)
Substitute values for Session 1-3 and Total Time
\(1\frac{1}{6} + 2\frac{1}{2} + \frac{2}{3} + x = 6\frac{1}{2}\)
Collect Like Terms
\(x = 6\frac{1}{2} - 1\frac{1}{6} - 2\frac{1}{2} - \frac{2}{3}\)
Convert to improper fractions
\(x = \frac{13}{2} - \frac{7}{6} - \frac{5}{2} - \frac{2}{3}\)
Take LCM
\(x = \frac{39 - 7 - 15 - 4}{6}\)
\(x = \frac{13}{6}\)
Convert to improper fraction
\(x = 2\frac{1}{6}\)
Hence, the time left is \(2\frac{1}{6}\ hours\)
-7 4/5 divided by X = -5 1/5
The value of the variable is 3/2
What is a fraction?A fraction cam simply be described as an expression that is being used to represent the part of a whole number, a whole variable or element.
There are different types of fractions. They are listed as;
Improper fractionsProper fractionsComplex fractionsSimple fractionsMixed fractionsFrom the information given, we have that;
-7 4/5 divided by X = -5 1/5
convert to improper fractions, we have;
-39/5/x = -26/5
Now, cross multiply the values, we have;
-39/5 = -26x/5
cross multiply
-130x = -195
Divide both sides
x = -195/-130
x = 39/26 = 3/2
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20 points if these are correct pls
Step-by-step explanation:
14. 8
15. 60
16. 42
17. 45
18. 2
19. 8
20. 13
21. 18
o 14 . —> 8
o 15. —> 60
o 16 . —> 42 ( not 43 )
o 17. —> 45
o 18. —> 2
o 19. —> 8 (not 4 )
o 20. —> 13
o 21 —> 18 (not 12)
I hope I helped you^_^
Sheldon buys a movie ticket and food combo for himself and three friends. How much does he spend on the movie ticket and food combo for everyone?
1) $73.60
2) $55.20
3)$72.60
Answer:
???
Step-by-step explanation:
there is nothing that tells the price of any of those things. but, to find the answer, tge formuka wouls be (M+F) ×4
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph with the correct cosine function based on its period.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (1.5, 0), (3, minus 1), (5, 0), (6.5, 1), (7.5, 0), It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (3, 0), (6, minus 1), (9.5, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (0.5, 0), (1, minus 1), (1.5, 1), (2, 0), (2.5, minus 1), (3, 0). It follows the same pattern.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 at (minus 1, 0) and goes through (0, 1), (1, 0), (3, 1), (4, 0), and (4.5, minus 1) and curve follows the same pattern on X-axis.
Graph shows a sinusoidal function plotted on a coordinate plane. A curve enters quadrant 2 and it goes through (0, 1), (6, 0), and (12, minus 1). It follows the same pattern.
y=cos x/2 arrowRight
y=cos x arrowRight
y=cos x/4 arrowRight
y=cos x/4arrowRight
The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)
Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:
Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.
Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.
Graph 4: (Not used)
Graph 5: (Not used)
Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.
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Part A: Use the Pythagorean Theorem to derive the standard equation of the circle, with center at (a, b) and a point on the circle at (x, y). Show all necessary math work. (3 points)
Part B: If (a, b) = (5, –2) and c = 10, determine the domain and range of the circle. (4 points)
Part C: Is the point (10, 2) inside the border of the circle if (a, b) = (5, –2) and c = 10? Explain using mathematical evidence. (3 points)
According to the equation the given all necessary math work are:
\(A: (x -f)^2 +(y -g)^2 = h^2\)
B: domain: [-5, 11]; range: [-9, 7]
C: yes, inside
What is Pythagοras theοrem?The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.
Part A:
Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:
sum οf squares οf sides = square οf hypοtenuse
\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h
Part B:
The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.
dοmain: 3 ± 8 = [-5, 11]
range: -1 ±8 = [-9, 7]
Part C:
The distance frοm pοint (10, -4) tο (f, g) is ...
\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)
\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)
h = √58 < 8 . . . . the distance tο the pοint is less than h=8.
The pοint is inside the circle.
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find a number which is 12 morethan its 3/4
Answer:
46
Step-by-step explanation:
What is 12 more than 34?
We are looking for a new number which is 12 more than 34.
We will get the new number by adding 12 to 34.
We write it down as:
34+12=46
And finally the solution for: What number is 12 more than 34?
is 46
What is the inverse equation for f(x)=x+6
Answer:
y^-1 = x - 6
Step-by-step explanation:
change f(x) to 'y'
switch 'x' and 'y'
solve for 'y'
Answer:
Step-by-step explanation:
y = x + 6
x = y + 6
y + 6 = x
y = x - 6
f^-1(x) = x - 6
Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4
Answer:
y = 1/4 x + 4
Step-by-step explanation:
1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)
2. Put x = 4 and y = 5 in the new equation
=> 5 = (1/4)(4) + b
=> b = 4
3. So then we'll have the new equation that is parallel to y = 1/4x-4
Solve 3(x + 2) > x.
answer
Answer:
Step-by-step explanation:
3(x + 2) > x
3x + 6 > x
3x - 3x + 6 > x - 3x
6 > -2x
6/-2 < -2x/-2
-3< x
For a dilation with a scale factor not equal to one, how do the angles and side lengths
of the preimage relate to the angles and side lengths of the image?
A
Angles are congruent,
side lengths are congruent.
B
Angles are congruent,
side lengths are proportional.
C
Angles are proportional,
side lengths are congruent.
D
Angles are proportional,
side lengths are proportional.
For a dilation with a scale factor not equal to one, the angles and side lengths of the preimage relate to the angles and side lengths of the image because: B. Angles are congruent, side lengths are proportional.
What is dilation?In Geometry, dilation is a type of transformation which changes the size of a geometric figure and the location of its points based on the scale factor, but not its shape.
What is scale factor?In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric figures (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either enlarge or reduce their size.
Generally speaking, the angles and side lengths of the preimage and image are congruent and proportional when the dilation of any geometric figure with a scale factor that is not equal to one (1).
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Which equation represents a circle?
A.
B.
C.
D.
Answer:
??
Step-by-step explanation:
how you want the people answer if we can't see anything lol no offense...
Determine whether the following statement is true or false.
For a test of independence, the population that the data has come from must be normally distributed.
A. True
B. False
Answer:
The provided statement is False.
Step-by-step explanation:
The assumptions to perform a test of independence are:
The sample selected is randomA large sample is selectedThe observations are independent of each otherThe observations follow the same distribution.It is not necessary that the parent population or the population from which the sample is collected is normally distributed.
Thus, the provided statement is False.
After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
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the questions are in the pic, just want answers, no explanation
A) The table would be as following:
B) As a function, the expression would be:
\(M(n)=2^n\)Where M(n) is the area coverede by the mold, in square feet, and n is the time in moths the mold has been growing on the wall
C) Now, we know that the mold has to cover 240 square feet
\(240=2^n\)Solving for n,
\(\begin{gathered} 240=2^n\rightarrow n=\log _2240 \\ \Rightarrow n=7.9 \end{gathered}\)we get that it would take the mold 7.9 months to cover the wall.
Please help me answer this question!!!
Answer:
B
Step-by-step explanation:
<STR = <SRT Given the markings of the triangle
<STR + <STU = 180 Supplementary angles
(2x - 9) + 7x = 180 Remove the brackets
2x - 9 + 7x = 180 Combine
9x - 9 = 180 Add 9 to both sides
9x = 180 + 9 Combine
9x = 189 Divide by 9
9x/9 = 189/9
x = 21
Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. Suppose the joint distribution of X and Y is as given in the table below.
y
p(x,y) 0 1 2
x 0 0.025 0.015 0.010
1 0.050 0.030 0.020
2 0.115 0.075 0.050
3 0.150 0.090 0.060
4 0.100 0.060 0.040
Compute the expected revenue from a single trip. (Round your answer to two decimal places.)
Answer:
Expected revenue from the single trip is $ 13.14
Step-by-step explanation:
y
p(x,y) 0 1 2 g(x)
x 0 0.025 0.015 0.010 0.05
1 0.050 0.030 0.020 0.1
2 0.115 0.075 0.050 0.24
3 0.150 0.090 0.060 0.3
4 0.100 0.060 0.040 0.2
h(y) 0.325 0.27 0.18
E (x+Y) = E(X) +E(Y)
E(X)= ∑ xi g(x)i
= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)
= 0 + 0.1+ 0.48 + 0.9+0.8
=2.28
E(Y)= ∑yi h(y)
= (0* 0.325) + (1*0.27) + (2*0.18)
= 0 +0.27+ 0.36
= 0.63
E (x+Y) = E(X) +E(Y)
= 2.28 + 0.63
= 2.91
But the equation is 3x+ 10y
E(3x+ 10y)= 3E(x) + 10 E(y)
= 3(2.28) + 10 (0.63)
= 6.84 +6.3
= 13.14
Expected revenue from the single trip is $ 13.14
S’T’U’V is a dilation image of STUV which is the correct description of the dilation
Answer:
A reduction with scale factor of 1/4
Explanation:
Since S'T'U'V' is smaller than STUV, the dilation is called reduction.
Then, the scale factor is calculated as
Scale factor = Length of image/ Length of original
So, using the segment ST, we get
Length of image = Length of S'T' = 1
Length of original = Length of ST = 4
Then
Scale factor = 1/4
Therefore, the answer is
a reduction with scale factor of 1/4
What is the area of the kite?
The area of the kite is 2.25 square feet
How to determine the area of the kite?The area of the kite is calculated using:
Area = 0.5 * pq
Where p and q are the diagonals of the kite.
In this figure,
p = 3
q = 0.75 * 2 = 1.5
So, we have:
Area = 0.5 * 3 * 1.5
Evaluate
Area = 2.25
Hence, the area of the kite is 2.25
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A drum of water is 3/4 full. When 9 litres are drawn from it, it is half full. How much water does the drum hold what is the capacity of the drum
Answer:
OK, Here is your answer
Step-by-step explanation:
Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.
Answer:
18 Lieters.
Step-by-step explanation:
found the answer in his answer. ↑↑↑↑
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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4x≤12= I don't understand
Answer:
x ≤ 3
Step-by-step explanation:
Just divide both sides by 4, the sign stays the same because you're dividing by a positive number
Answer:
its x ≤ 3
Step-by-step explanation:
4x≤12
4x/4 ≤ 12/4 divide both sides by 4
that will give you x≤3.
So, that means x is less than or equal to 3.
Pls awnser the question I'm stuck
Find the sum of 12.351 and 0.5362
Find the sum of 12.351 and 0.5362
Answer:-12.351 + 0.5362 = 12.8872