Replacing the first card illustrates an independent event, while not replacing the card illustrates a dependent event
How to determine the difference?In probability, when a selected card or item is replaced before another item is selected, then the event is an independent event.
This is so because, the selected card do not have effect on the probability of selecting the next card
However, if the card is not replaced, then the event is dependent
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The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
Find the different angle measures
The different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
Calculating measures of anglesFrom the question, we are to determine the measures of the different angles
1.
From the given information,
[tex]m \overset{\LARGE\frown}{HD} = 68^\circ[/tex]
This implies that the measure of the central angle is 68°
Then,
[tex]m\angle EBD = \frac{1}{2} \times 68^\circ[/tex] (Angle at the center is twice the angle at the circumference)
∴ [tex]m\angle EBD = 34^\circ[/tex]
2.
From the diagram
[tex]m\angle ACE + m\angle BED + 90^\circ = 180^\circ[/tex]
From the given information
[tex]m\angle BED = 38^\circ[/tex]
Then,
[tex]m\angle ACE + 38^\circ + 90^\circ = 180^\circ[/tex]
[tex]m\angle ACE + 128^{\circ} = 180^\circ[/tex]
[tex]m\angle ACE = 180^\circ-128^{\circ}[/tex]
[tex]m\angle ACE = 52^{\circ}[/tex]
3.
First, we will determine [tex]m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 2 \times m\angle ACE[/tex] (Angle at the center is twice the angle at the circumference)
[tex]m \overset{\LARGE\frown}{GD} = 2 \times 52^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
But,
[tex]m \overset{\LARGE\frown}{GD} + m \overset{\LARGE\frown}{GB} = 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - m \overset{\LARGE\frown}{GD}[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - 104^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4.
[tex]m \overset{\LARGE\frown}{GBD} = m \overset{\LARGE\frown}{GB} + 180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 76^\circ +180^\circ[/tex]
[tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5.
[tex]m \angle DBA= 90^\circ[/tex] (Tangent and diameter/ radius theorem)
If a tangent and a diameter meet at the point of tangency, then they are perpendicular to one another
6.
[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex] (As determined above)
7.
First, we will determine [tex]m\angle GFB[/tex]
[tex]m\angle GFB + m\angle EBD + 90^\circ = 180^\circ[/tex]
[tex]m\angle GFB = 180^\circ -(m\angle EBD + 90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - (34^\circ+90^\circ)[/tex]
[tex]m\angle GFB = 180^\circ - 124^\circ[/tex]
[tex]m\angle GFB = 56^\circ[/tex]
[tex]m\angle GFB = m\angle DFC[/tex] (Vertically opposite angles)
[tex]m\angle DFC= 56^\circ[/tex]
Hence, the different angle measures are
1. [tex]m\angle EBD = 34^\circ[/tex]
2. [tex]m\angle ACE = 52^{\circ}[/tex]
3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]
4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]
5. [tex]m \angle DBA= 90^\circ[/tex]
6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]
7. [tex]m\angle DFC= 56^\circ[/tex]
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Jade thinks the area m•6+m•8. Arianna thinks the area is m(6+8). How can they both be correct?
HELP PLEASE HELP ME!!!
Answer:
6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40
Step-by-step explanation:
6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40
please help me with this question !!
Answer:
x is (0,15), because when you place x as zero you'll the coordinate D when you plot these coordinates on your graph.
Does anyone understand this?
Determine the degree of each polynomial listed.
1. y4 x3 v + 14
2. 2x + 6
3. 5y10 – 6x7y3 – 4y – 5
4. x3 +4y – 9
5. 60x2 y + 8
Answer:
811033Hope it helps.
(10 times 2) + 5 times 8 =
A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?
PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left
Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.
For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.
Answer:
For each inequality, x > 5
, and the number added to x is 5
less than the number on the right side of each inequality. So, x > 5
is the solution of x + 5,558 > 5,563.
Step-by-step explanation:
13-8=5
(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]
Step-by-step explanation:
Firstly find the area if the parallelogram which is
=length of the base × vertical height
=
[tex]12m \times 5m[/tex]
=
[tex]60 {m}^{2} [/tex]
Now solve for the area of the circle
=
[tex]\pi {r}^{2} [/tex]
RADIUS = DIAMETER ÷2
[tex] \frac{4m}{2} [/tex]
=
[tex]2m[/tex]
so the area of the circle
=
[tex] \frac{22}{7} \times 2m \times 2m[/tex]
[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]
[tex]12.57 {m}^{2} [/tex]
subtract the area of the circle from the parallelogram
=
[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]
=
[tex]47.43 {m}^{2} [/tex]
Done
4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²
Answer:
C and B
Step-by-step explanation:
Evaluate all the exponents
3^8: 6,561
8^3 = 512
(3 * 3) ^4 = 6,561
(3^4)^2 = 6,561
Options C and B would work.
help me please :( i need help
Answer:
B
Step-by-step explanation:
Use the expression PEMDAS
It helps to know what do to first
Parenthesis Exponent Multiply Divide Add Subtract
A car salesman has determined the probability of a person purchasing a car with cash is p = 0.08. Which term best describes the probability of this event?
Correct answer is B. Very Unlikely
Hope this helps :P
Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?
Answer:
2
Step-by-step explanation:
I don't know why am I so bad at math???
Find the factor of each ff.
x²+27x+49
Answer:
There are no factors.
Step-by-step explanation:
x²+27x+49 is prime.
Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The points that are correct about the given inequality 2(8/9)≥x are:
The graph contains the point 0There is a closed circle on 2 and StartFraction 8 over 9 EndFraction.The arrow points to the left.Hence, the options that are correct about the given statement are B, C, and D.
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In Autobiography by Abraham Lincoln and the Life of Abraham Lincoln by John Hugh Bowers, each author tells the same story about Lincoln's life, but they provide different_________.
A settings
B. dialogue
C. facts
If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?
Answer:
f(2)=x
Step-by-step explanation:
Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above
PLEASE HELP FOR BRAINLIEST :(((
Find the circumference and the area of a circle with radius 9m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
The circumference and the area of a circle with a radius of 9m is 28.26
How to find the circumference
The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations:
Given that:
Circumference of Circle = [tex]2\pi r[/tex]
[tex]9x=28.26[/tex]
[tex]9*3.14=28.26c[/tex]
[tex]or[/tex] [tex]28.26c[/tex] ÷ [tex]\pi(3.14)=9r[/tex]
Therefore, The circumference and the area of a circle with a radius of 9m is 28.26
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the tax rate is 6.8%
what is the tax on $9.95
round to the nearest hundredth (explain your answer)
Find the sum of the n terms using the formula a(1-r^n)/1-r 1,3/2,9/4,27/8,81/16, …
Answer:
[tex]S_5=\frac{211}{16}[/tex]
Step-by-step explanation:
We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:
[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]
If 27 out of 30 people passed a driving
test, what percent failed?
Answer:
10% failed the driving test
Step-by-step explanation:
27/30 = 90% and since 90% is what PASSED, 10% is what FAILED
this should be correct... if its not im sorry
Answer:
10% failed
27 / 30 is 90% so, 100% - 90% = 10%
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Evaluate A² for A = -4.
Answer:
-4^2= 16
Step-by-step explanation:
a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.
Answer:
-4^2= 16
Step-by-step explanation:
9x-3-8x=7-x solve for x
Answer:
x = 5
Step-by-step explanation:
Simplify both sides :
9x - 3 - 8x = 7 - xx - 3 = 7 - xAdd 3 to each side :
x - 3 + 3 = 7 - x + 3x = 10 - xAdd x to each side :
x + x = 10 - x + x2x = 10Divide by 2 on each side :
2x/2 = 10/2x = 5Answer:
x = 5Step-by-step explanation:
9x-3-8x=7-x solve for x
9x - 3 - 8 x = 7 - x
x - 3 = 7 - x
2x = 10
x = 10 : 2
x = 5
-----------------
check
9 * 5 - 3 - 8 * 5 = 7 - 5
2 = 2
the answer is good
PLEASE HELP ME WITH PROB AND STATS
6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
Answer:
y = 5.07 + 0.850x
Step-by-step explanation:
You can check all equation on the calculator y =
Which represents the complete factorization of 3v2 + 9v ?
Answer:
3v2 + 9v = 3v(v + 3)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is the complete factorization of 3v²+9v?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]
First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.
Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-
3v(v+3)
Good luck.- - - - - - - - - - - - - - - - - - - -- - - - - - - - -
Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation
Answer:
the answer is C mean absolute deviation
What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...
Help me please I need it right now like now now
Answer:
$0.84
Step-by-step explanation:
If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True
Answer:
HOPE THIS HElps
Step-by-step explanation:
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function