The event A is an independent event while the event B is a dependent event.
How to find dependent or independent events?
An independent event is one that is not affected by the occurrence of other events while a dependent event is one that is affected by the occurrence of another event.
Event A is an independent event because the first player does not have to wait for any player before he plays.
However, event B is a dependent event as Jerome has to wait for for the first player to play before he can play.
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Solve for the value of x -
[tex]5(4x-4)=-60[/tex]
Thanks! ^^
Answer:
x = -2
Step-by-step explanation:
[tex]20x - 20 = -60\\20x = -40\\x = -2[/tex]
hope this helped!!
Answer:
x = -2
Step-by-step explanation:
Divide both sides by 5 :
5/5 (4x - 4) = -60/54x - 4 = -12Add 4 to both sides :
4x - 4 + 4 = -12 + 44x = -8Divide both sides by 4 :
4x/4 = -8/4x = -2Give a full description of how you solve it and I'll give the brainiest. Solve both, please.
John paid $34 for two algebra and three geometry books. he paid $36 for three algebra and two geometry
Answer:
Each geometry book costs $6, each algebra book costs $8.
Let a=cost of one algebra book and g=cost of one geometry book. We have:
2a + 3g = 34-------->6a + 9g = 102
3a + 2g = 36-------->6a + 4g = 72
-------------------
5g = 30
g = 6
2a + 3(6) = 34
2a + 18 = 34
2a = 16--->a = 8
Question: John paid $34 for two algebra and three geometry books. He paid $36 for three algebra and two geometry books. What is the cost of each book?
Answer: The cost of each algebra book is $8 and the cost of each geometry book is $6.
Step-by-step explanation:
a= algebra book cost
g= geometry book cost
Here's what we know:
2a + 3g = 34 (the 2 alg and 3 geo comes to $34)
3a + 2g = 36 (the 3 alg and 2 geo comes to $36)
This is a classic elimination method problem. I suggest that we multiply the first equation by -2 and the second by 3. This way, we can eliminate the variable g and still keep the other parts of the problem in the positive range:
-4a - 6g = -68
9a + 6g = 108
-------------------
5a = 40
Divide by 5:
a = 8
Now to solve for g:
2 * 8 + 3g = 34
16 + 3g = 34
3g = 18
g = 6
check (by using the second equation):
3 * 8 + 2 * 6 = 36
24 + 12 = 36
1. Find the vertex, (x, y) x-value is the number inside the brackets, but take the opposite of its; y-value number outside at the back of the bracket: (4,8)
Answer:
9y(c=7) witch means the answer is 8,6
Step-by-step explanation:
I took it and got 5 out of 5 right ✅
A student studies the effect of sunlight on the growth of a tree sapling. At the beginning of the student’s study, the tree sapling is
48
inches tall. The student finds that the tree sapling grows an average of
3
inches per month.
Which expression represents the height of the tree sapling after
x
months?
pls hurry, i need help asap
Reason:
The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.
Let's say x = 5 months have elapsed as an example.
The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.
It took the computer 120 days to break the code. How many
hours did it take?
Hi Student!
Looking at the question we can see that we are given a number which is 120 days. The question is asking for us to convert the amount of days it took to break the code into hours. We can do this by multiplying the amount of days that we have by 24 because there are 24 hours in a day. The days would cancel and that would result us with just hours left.
[tex]120\ days*\frac{24\ hours}{1\ day}[/tex]
[tex]\frac{120\ days\ *\ 24\ hours}{1\ day}[/tex]
[tex]\frac{2880\ hours}{1}[/tex]
[tex]2880\ hours[/tex]
Therefore, our final answer is that it took the computer 2880 hours to break the code after we converted the days to hours.
Write an equation of the graph
A. y = 1/2x + 5
B. y - 3 = 1/2 (x + 1)
C. y + 3 = -1/2 (x - 1)
D. y - 3 = -1/2 (x + 1)
Answer:
It's A
Step-by-step explanation:
y/x
it's starting point is 5 and it goes up 1 and over 2
1 is on the y-axis and 2 is on the x-axis and it is y over x so the answer is 1/2x+5
NOTE:I MAY NOT BE ACCURATE BUT IM PROBABLY IT COULD BE WRONG BUT IF U REALLY ARE STUCK ON A QUESTION THEN CHOOSE A
-please help im so dum dum and id like therapy < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
Step-by-step explanation:
-40
−20−8-12
−28−12
-40
The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number, and let y be the lesser number.
Please help ASAP
Answer:
x=40,y=22
Step-by-step explanation:
62/2=31
31+9=40
31-9=22
40+22=62
pls help asap The scatter diagram shows the grades and number of missing assignments for students in a grade 8 math class
Cathy constructs diameter of circle O and then constructs the perpendicular bisector, , of. Which construction can she complete?
A.
an equilateral triangle inscribed in a circle
B.
a regular hexagon inscribed in a circle
C.
a square inscribed in a circle
D.
an isosceles trapezoid inscribed in a circle
Answer:
Step-by-step explanation:
FIND BA Just Need the answer tbh
Step-by-step explanation:
some might be wrong..if u can..try to cross check it..
Х
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The weight of the rectangle is 80 grams.
The weight of the triangle is double the weight of the
circle.
Determine the weight of the circle.
====================================
[tex]\large \sf \underline{Answer:}[/tex]
Rectangle has four sides. The total weight of the circle is 20 grams.
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
What is a rectangle?
A rectangle is a 2D shape that has four sides, and the pair of opposite sides are equal and parallel to each other.
As it is given that the weight of the rectangle is 80 grams, and a rectangle is made up of two triangles. Therefore, the weight of each triangle can be written as,
[tex]Weight \: of \: the \: reactangle \: = \frac{80}{2} = 40 grams[/tex]
It is given that the total weight of the triangle is double the weight of the circle. therefore, the relationship can be written as,
[tex]Weight \: of \: the \: triangle = 2x \\ Weight \: of \: the \: circle \: \\ 40 = 2 \times Weight \: of \: the \: circle
[/tex]
[tex]Weight \: of \: the \: circle = 20 grams[/tex]
Hence, the total weight of the circle is 20 grams.
Learn more about Rectangle:
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====================================
Hence the weight of the circle is 20 grams.
Answer:
Solution Given:
Weight of rectangle =80grams
we know that
twice the weight of triangle =weight of rectangle
2*weight of triangle =80 grams
weight of the triangle = 80/2=40 grams
again
The weight of the triangle is double the weight of the
circle.
weight of the circle=½*weight of triangle
=½*40=20grams
I need help with this math question please!
Answer:
x < 0
( x is less than 0 )
Explaination:
That open circle point means the answer will not be equal to, which would be options including <(less than) or >(greater than).
If the circle was closed you would use these symbols, ≤(less than or equal to) and ≥(greater than or equal to)
The open circle lands on 0 and the arrow points to the left into the negative numbers. The answer should be x<0 or x is less than 0.
A way to help remember less than vs greater than on a line like this is that the arrow points in the same direction as the symbol! For example, your question shows an arrow going to the left, and the symbol used for it is less than (<) which also looks like a left pointing arrow.
Hope this helps out! :D
Find the volume of the composite solid. Round your answer to the nearest hundredth.
3 cm
3 cm
10 cm
The volume is about cubic centimeters.
Answer: see my work
Step-by-step explanation:
volume is lwh
volume is 3*3*10
volume is 9*10
volume is cubic cm
volume is 90
volume is 90 cubic cm
Answer:
90cm^2
Step-by-step explanation:
3x3=9
9x10=90
The picture is the question
Answer:
exponential
Step-by-step explanation:
The function follows the rule :
y = 3ˣAs y varies directly to the power of the exponent, this function is exponentialLet's check
Common ratio
3/1=39/3=3Its a geometric sequence
Hence exponential
Find the volume of each figure. Round you
137cm
5 cm
B) 350 cm³
D) 116.67 cm³
10 cm
A) 88.74 cm³
C) 148.29 cm³
Please help ASAP!!
Answer:
e
Step-by-step explanation:
e
Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00.She budgets $25.50 per month for her total cell phone expenses without taxes.
What's the maximum number of minutes Paige could use her phone each month and still stay within her budget?
A. 675
B.425
C. 250
D.175
Solve the following...
[tex]1 \cfrac{1}{5} \times 2\cfrac{1}{3} [/tex]
Let's see
[tex]\\ \rm\Rrightarrow 1\dfrac{1}{5}\times2\dfrac{1}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6}{5}\times \dfrac{7}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{6(7)}{5(3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{42}{15}[/tex]
[tex]\\ \rm\Rrightarrow2 \dfrac{12}{15}[/tex]
Which chip design has a greater probability of selection than what the actual results show after the 10 draws?
stripe
dot
star
heart
Answer:
the stripe chip design has
the greatest probability of selection
Step-by-step explanation:
p(draw a dot chip) = 1/10
p(draw a star chip) = 2/10
p(draw a heart chip) = 3/10
p(draw a stripe chip) = 4/10
4/10 > 3/10 > 2/10 > 1/10
Therefore , the stripe chip design has
the greatest probability of selection.
Graph the inequality.
-1
Answer:
Step-by-step explanation:
What is the best estimate for the length of a dollar bill?
150 centimeters
15 meters
15 centimeters
150 meters
Answer:
15cm
Step-by-step explanation:
150 meters are too long since 1 meter is about one big step.
15 meters would also be too long.
150 centimeters is the same as 1.5 meters, which is also too long.
Amaya travels from her home to Stoke
the distance from her home to stoke is 150 miles she travels at an average speed of 50 miles per hour
she stops for 20 minutes on the journey
amaya arrives in stoke at 11:15am
what time did she leave home?
Answer:
She left at 7:55
Step-by-step explanation:
She travels 150 miles at 50 miles an hour, it takes her 3 hours to get to stoke but she stopped for 20 minutes. Subtract 20 minutes from 11:15, and you get 10:55, then subtract 3 hours. You get 7:55. This means she left the house at 7:55.
how to do a reflection on the line y=-x
change (x,y) -> (-y,-x)
When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)
Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.
What is the definition of probability?It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.
Given data;
Total outcomes rolling a pair of dice =6×6=36
Probability obtaining the total of 12 is;
P(A) = 1/36
P(A) = 1/36
P(A) = 1/36
Probability of obtaining the total is less than 5:
P(B)=6/36
the probability of rolling the sum of 12 OR less than 5 is calculated as;
P(sum of 12 OR 5) = 1/36 + 6/36
P= 7/36
Hence,the probability P (sum of 12 OR 5) is 7/36.
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I was confused on how to write the quadratic in standard form
[tex]\\~~~~~3x^2 +4x +7 = -1\\\\\implies 3x^2 +4x +7 +1 = 0\\\\\implies 3x^2 +4x +8 = 0\\\\\text{It is now in the standard form of quadratic equation}~( ax^2 +bx +c = 0)\\[/tex]
find the area of parallelogram whose height is 6 cm and base 5 cm
A parallelogram is a type of quadrilateral(four sides polygon) that has both the pair of opposite sides parallel and equal.
Area of a parallelogram = height× base
from the question,
height= 6cm
base= 5cm
area= 6×5= 30cm^2
Which solution set is graft on the number line
Answer:
x < 1
Step-by-step explanation:
an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then
x < 1 (thats a less then sign only) ....no equal sign in there
Answer:
x < 1
Step-by-step explanation:
Open circle: < or >
Closed circle: ≤ or ≥
Shading to the left: < or ≤
Shading to the right: > or ≥
Therefore, as there is an open circle and shading to the left:
x < 1
(x is smaller than 1)
#89 will give brainliest for best answer!
Answer:
Median: 11
Range: 12
25th Percentile: 9
75th Percentile: 14
Interquartile Range: 5
Step-by-step explanation:
The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.
Hope this helps! :)
can someone help me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Since, the Area of smaller rectangle is 35,
width = 5 ftLet's calculate it's length ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:35 = l \cdot5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 35 \div 5[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 7 \: ft[/tex]
And the two rectangles are similar ~ so the ratio of their sides are equal as well ~
Assume length of greater rectangle be x
[tex]\qquad \sf \dashrightarrow \: \dfrac{25}{5} = \dfrac{x}{7} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 35[/tex]
Now, since the length and width of the greater rectangle is known, let's find it's Area ~
[tex]\qquad \sf \dashrightarrow \:a = l \cdot w[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 35 \sdot25[/tex]
[tex]\qquad \sf \dashrightarrow \:a = 875 \: \: ft {}^{2} [/tex]
So, Area of the greater rectangle is 875 ft²