Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
grade 5
mathematics
Add:
[tex] {3 }^{2} + \sqrt{64 + 36} [/tex]
1. Calculate the amount of gallons needed to fill the pool shown below.
Answer:
25,070 gal
Step-by-step explanation:
will make it simple and short.
vol = ( a + b ) * h/2 times the depth
vol = (8 + 3.5) x (35/2) x 20 = 4025 cu. ft. ---------->>> then convert to gal.
6.2288 gal
vol = 4025 cu.ft. x ----------------- = 25,070 gal
1 cu.ft.
What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?
Answer: (-6,8)
Step-by-step explanation:
Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distanceTranslation rules are
Left c units : [tex](x,y)\to(x-c,y)[/tex]
Down c units : [tex](x,y)\to(x,y-c)[/tex]
The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:
[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]
Hence, the image point is (-6,8).
In the expression 2 ^3, the 3 is known as the
Answer:
3 is known as the power of 2.
Answer:
The three is the exponent, it is also called power so 2 to the power of 3
Step-by-step explanation:
Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9
Answer:
10.9
Step-by-step Explanation:
The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.
The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.
Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.
Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2
what is the answer to
x^{2} + 2x + 15 = 0
From my knowledge:
²−2−15=0
x=5
x=-3
8(4k - 4) = -5k - 32
Answer:
k=0
Step-by-step explanation:
8(4k-4)=5k-32
32k-32=-5k-32
32k-32+32=-5k-32+32
32k=-5k
32k+5k=-5k+5k
37k=0
37k/37=0/37
k=0
Answer:
k=0
Step-by-step explanation:
To solve for k, we need to first distribute the 8 through the parenthesis.
32k-32=-5k-32
Lets add 5k to both sides.
37k-32=-32
add 32 to both sides
37k=0
divide 37 from both sides
k=0
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
f(−1) =
f(1) =
f(2) =
Answer:
2, 6, 11
Step-by-step explanation:
To evaluate f(- 1) substitute x = - 1 into f(x)
f(- 1) = 2(- 1)³ - 3(- 1)² + 7 = 2(- 1) - 3(1) + 7 = - 2 - 3 + 7 = 2
Similarly
f(1) = 2(1)³ - 3(1)² + 7 = 2(1) - 3(1) + 7 = 2 - 3 + 7 = 6
f(2) = 2(2)³ - 3(2)² + 7 = 2(8) - 3(4) + 7 = 16 - 12 + 7 = 11
Answer:
f(-1) = 2
f(1) = 6
f(2) = 11
Step-by-step explanation:
Got it right on Edge (⌣_⌣”)
Which of the following ranges is most appropriate to represent the numerical data on the vertical axis of a Bar Chart? OA) 0 to 60 OB) 10 to 20 OC) 0 to 55 OD) 30 to 60
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Answer:
C
Step-by-step explanation:
I took the quiz
A woman deposit $600 into an account that pay 5 1/4% interest per year. How much interest will she recieve in one year ?
Answer:
$31.5
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 600 * 5.25 /100 = 31.5
Someone help plsssss
The monthly budget is shown in the circle graph. The family has a
income of $4800 How much money do they spend on transportation each
C. $240
D. $288
Answer:
$240
Step-by-step explanation:
The amount they spend on a monthly basis for transportation = percentage represented on the circle covered by transportation ÷ 100% × the total monthly income.
= [tex] \frac{5}{100} * 4800 [/tex]
[tex] = 0.05 * 4800 = 240 [/tex]
Money spent on transportation = $240
Answer: the cash that is Paid each is 240$
What, if any, are the solutions to the equation 2(x - 3) = 2x - 6?
Answer:
2(x-3)=2x-6
2x-6=2x-6
2x+2x=6+6
4x=12
4 4
x=3
Step-by-step explanation:
answer x=3
Morgan rewrote the expression 90 + (10 + 4.8) as (90 + 10) + 4.8. How will this change the work that is needed to evaluate the expression? PLZ I NEED THIS PLZ HELP ME
Answer: Because of PEMDAS, the way Morgan rewrote the expression would change the the order of the steps to simplify it.
Step-by-step explanation: PEMDAS is the order of operations and it stands for Parenthesis, Exponents, Multiply, Divide, Addition, and Subtraction. If we simplify Morgan's version of the expression, we would add 90+10 first, which makes 100, then add 4.8 which makes 104.8. We come to the same conclusion when simplifying the original expression, 104.8. The difference is that we add 10+4.8 first and then add it to 90. While in this situation, the outcome was not different, the order of operations was changed.
What value of x is in the solution set of –5x – 15 > 10 + 20x? –2 –1 0 1
Answer:
-2
Step-by-step explanation:
5x – 15 > 10 + 20x
Subtract 5x from each side
5x – 15-5x > 10 + 20x-5x
-15 > 10+15x
Subtract 10 from each side
-15-10 >15x
-25 > 15x
Divide each side by 15
-25/15 > x
-5/3 > x
X must be less than -1 2/3
The only value that is less than -1 2/3 is -2
Answer:
x< -5/3x is less than -5/3 , so answer = -2Step-by-step explanation:
[tex]5x - 15 > 10 + 20x\\\mathrm{Add\:}15\mathrm{\:to\:both\:sides}\\\\5x-15+15>10+20x+15\\\mathrm{Simplify}\\\\5x>20x+25\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\\\5x-20x>20x+25-20x\\\\\mathrm{Simplify}\\\\-15x>25\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-15x\right)\left(-1\right)<25\left(-1\right)\\\\\mathrm{Simplify}\\\\15x<-25\\\\\mathrm{Divide\:both\:sides\:by\:}15\\\\\frac{15x}{15}<\frac{-25}{15}\\\\x<-\frac{5}{3}[/tex]
Will Mark Brainlest Help Please ,,,,
[tex]\\ \sf\longmapsto 2x+y=2[/tex]
[tex]\\ \sf\longmapsto 2x=2-y[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}\dots(1)[/tex]
And
[tex]\\ \sf\longmapsto x+1=y+2[/tex]
[tex]\\ \sf\longmapsto x=y+2-1[/tex]
[tex]\\ \sf\longmapsto x=y+1[/tex]
Put the value[tex]\\ \sf\longmapsto \dfrac{2-y}{2}=y+1[/tex]
[tex]\\ \sf\longmapsto 2-y=2(y+1)[/tex]
[tex]\\ \sf\longmapsto 2-y=2y+2[/tex]
[tex]\\ \sf\longmapsto 2-2=2y+y[/tex]
[tex]\\ \sf\longmapsto 3y=0[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{0}{3}[/tex]
[tex]\\ \sf\longmapsto y=\infty[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto x=\dfrac{2-y}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2-\infty}{2}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
x=1 , y=0
Step-by-step explanation:
2x+y=2.......1
x+1=y+2
x-y=2-1
x-y=1...... 2
from equation 2 we get ,
x-y=1
x=1+y
putting the value of x in equation 1 we get,
2*(1+y) +y=2
2+2y+y=2
2+3y=2
3y=2-2
3y=0
y=0/3
y=0
putting the value of y in equation 2 we get,
x-0=1
x=1+0
x=1
hence x=1 , y=0
A girl scored 18 out of 25 in English language and p% in mathematics. if her average score is 78% , what is the value of p
Answer:
84%
Step-by-step explanation:
percentage of score in English=18/25*100
=72%.
72+p/2=78
72+p=156
p=84%
Mark me BRAINLIEST if helped
Tysm!
600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.
Hi
So: 720 -600 = 120
120 for two years makes 120/2 = 60 in a year .
60 from 600 is 600/60 = 10
Interest is 10 %
If interest in 2% more, then it's 12%.
I'm sure you can count 12% simple interest for two years, so I let you try.
good luck.
The point slope formula (if possible) to write an equation of the line given the following information…we
The equation in point slope form is y - 6 = 2(x + 3)
This is from the general point slope template of [tex]y - y_1 = m(x - x_1)[/tex]
The m is the slope, which in this case is m = 2. The [tex](x_1,y_1)[/tex] is the point the line goes through. In this case, [tex]x_1 = -3 \text{ and } y_1 = 6[/tex]
If you were to solve that equation in bold for y, then you should get y = 2x+12 which is now in y = mx+b form, aka slope intercept form.
If the equation of the line is
(5y + 1)/10 = x, then what is the slope of the line?
A. 10
B. 5
C. 2
D. -1
Answer:
2
Step-by-step explanation:
(5y + 1)/10 = x
Multiply each side by 10
(5y + 1)/10*10 =10 x
(5y + 1) = 10x
Subtract 1
5y +1-1 = 10x-1
5y = 10x-1
Divide by 5
5y/5 = 10x/5 - 1/5
y = 2x-1/5
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 2
3. Find the volume of the pyramid.
Answer:
[tex]916.11\:ft^{3}[/tex]
Step-by-step explanation:
Volume of the hexagonal pyramid = [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]
Here sides of hexagonal base = 9 ft
So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]
[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]
[tex]= 210.5[/tex]
Height is given, 13 ft
So, volume = [tex]1/3\times 210.5\times 13[/tex]
[tex]= 916.11\: ft^{3}[/tex]
OAmalOHopeO
Can anyone help me with this?
Answer:
baba booey
Step-by-step explanation:
444
The inequalities x < -5 and -X > -5 are the same.
True
False
QUESTION-:
The inequalities x < -5 and -X > -5 are the same.
True
False
ANSWER-:
FALSE
!! HOPE ITS HELP U !!
A circle is centered at C(-1,-3) and has a radius of 6. Where’d does the point P(-6,-6) lie?
A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Answer: True
Explanation:
Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.
pls help, and explain. will give brainliest
Answer:
10.28
Step-by-step explanation:
Using ratio
12 : 9
8 :x
Crose multiple
12x = 72
Make x subject formula
x = 10,28
what is |x-4| if x>4
Answer:
x-4
Step-by-step explanation:
If x>4, |x-4|>0 which means |x-4|=x-4
Let P (2,-3), Q (-2, 1) be the vertices of the triangle PQR. If the centroid of ΔPQR lies on the line 2x +3y = 1, then the locus of R is a. 2x + 3y = 9 b. 2x - 3y = 9 c. 3x + 2y = 5 d. 3x - 2y = 5
Answer:
Correct answer is a. 2x + 3 y = 9.
Step-by-step explanation:
Let the coordinates of centroid be (h,k)
{h/3 , (-2+k)/3}
h = (2 – 2 + a)/3 = a/3 ---eqn 1
k= ( - 3+ 1 + b )/3 = (-2 + b)/3 -----eqn 2
Where (x,y) are any point on the line 2x+3y=1
3h = a and 3k + 2 = b
From 2x +3y = 1,
Then, 2h +3k = 1, 3k = 1 - 2h -----eqn 3
b = 1 - 2h + 2 = 3 - 2h
also b = 3 - 2a/3
b = (9 -2a)/3
3b = 9 - 2a
3b + 2a = 9
Now (x,y) satisfy the point on the line 2x+3y=9
So the locus is 2x + 3 y = 9.
32 1/4 divided by 1/8 = 258 create a story or context for this number sentence
Create a system of equations that includes one linear equation and one quadratic equation.Part 1. Show all work in solving your system of equations algebraically.
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
Answer:
The simplest system:
y = xy = x²Solve by eliminating y:
x² = xx(x - 1) = 0x₁ = 0 x₂ = 1Then the value of y:
y₁ = 0y₂ = 1The graphical solution is attached
(0, 0), (1, 1)Answer:
The simplest system:
y = x
y = x²
Solve by eliminating y:
x² = x
x(x - 1) = 0
x₁ = 0
x₂ = 1
Then the value of y:
y₁ = 0
y₂ = 1
The graphical solution is attached
(0, 0), (1, 1)
Step-by-step explanation: