Answer:
The required probability (P) = 1/6
Step-by-step explanation:
From the given information:
Suppose two dice are observed; Then the number of outcomes in first dice = 6 i.e (1,2,3,4,5,6) and also the number of outcomes in second dice = 6 as well i.e (1,2,3,4,5,6)
The total number of outcomes of two dices = 6×6 = 36
Now for a sum that is less than 5; their outcomes are [(1,1) ,(1,2) , (1,3) ], [(2,1), (2,2) ], (3,1) = 6 outomes
The total number of outcomes for the sum that is less than 5 = 6
∴
The required probability (P) = Total number of outcomes for the sum that is less than 5 / Total number of outcomes of two dices
The required probability (P) = 6/36
The required probability (P) = 1/6
The probability that the sum is less than 5 is [tex]1\div 6[/tex].
Calculation of the probability:Since two dice are observed.
So the number of outcomes in first dice = 6 i.e (1,2,3,4,5,6) and also the number of outcomes in second dice = 6 as well i.e (1,2,3,4,5,6)
Now
The total number of outcomes of two dices = 6(6) = 36
Now for a sum that is less than 5; their results should be [(1,1) ,(1,2) , (1,3) ], [(2,1), (2,2) ], (3,1) = 6 outomes
So here the probability is
[tex]= 6/36\\\\= 1/6[/tex]
learn more about probability here: https://brainly.com/question/24164645
What is the equation in slope-intercept form of the line that passes through points (-4,2) and (12,6)
y=o.25x+3 is your equation.
Help! Will give brainliest.
Answer:
THANK YOUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU
IOAWEDSIFAHIDFVADEF
AJDEFIA
DJFAID
FAJIDFAJI
DFAJ
FJI
ADFAIDJFAJDJAIDIF
AJIODJDSIOJFADOEIF
FREEEEEEEE POINTS
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAH
Step-by-step explanation:
Answer:
It would be C (I think)
The lines are parallel
Step-by-step explanation:
Clay took 73 photos. He took 14 of monkeys,21 of tigers, and 13 of bears how many of other animals did clay take
Answer:
Clay took 25 photos of animals that were not monkeys, tigers, or bears.
Step-by-step explanation:
73 - 14 - 21 -13 = 25
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!
Answer:
Clay took 25 photos of other animals
Step-by-step explanation:
14 of monkeys + 21 of tigers + 13 of bears = 48 pictures
Subtract 48 from 73
73-48= 25
Solve
2(4x + 3) = 10x - 2
Answer:
x = 4
Step-by-step explanation:
2(4x + 3) = 10x - 2
2 × 4x + 2 × 3 = 10x - 2
8x + 6 = 10x - 2
8x - 10x = - 6 - 2
- 2x = - 8
2x = 8
x = 8/2
x = 4
-TheUnknownScientist
Answer:
x= 4
Step-by-step explanation:
we open brackets first
2(4x + 3) = 10x - 2
8x+6=10x-2
transpose
6+2= 10x-8x
8= 2x
x= 8/2
x= 4
Select the correct answer.
A population of pea aphids doubles every week. The population begins with 300 individual pea aphids. In how many weeks will the population
reach 9,600 individuals?
ОА.
3 weeks
B.
32 weeks
Ос.
5 weeks
D.
16 weeks
Reset
Reset
Next
Answer:
B.
Step-by-step explanation:
Answer:
The answer is C. 5 weeks.
Step-by-step explanation:
answer pls hurry need this asap
Answer:
y=-6x-8
Step-by-step explanation:
well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6
Pythagoras was born about 582 BC. Isaac Newton was born in 1643
AD. How many years apart were they born.?
Answer:
2225
Step-by-step explanation:
1643 A.D. years plus 582 B.C. years in between the births
Help me right now i need the answer right now
Is this graph a function
Answer:
No.
Step-by-step explanation:
If you perform the "vertical line test" you will see that if that line intersects more than once, it is not a function.
Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
If there is any such line, the graph does not represent a function.
If no vertical line can intersect the curve more than once, the graph does represent a function.
Mary has 115 books that need to be shipped. She packs the books in boxes. Each box holds 17 books. How many boxes will she need?
Answer:7 boxes
Step-by-step explanation:
She has 115 books which each box hold 17 so 115/17 is 6. Something so you have to round it to 7 to be able to fit them all
Whar is the square root of 9604?
Answer:
98
Step-by-step explanation:
the square root of 9604 is 98 which lie between 97 and 99
Fill in the missing term and select the missing description. Simplify any fractions.
2t + 2 = 20
2t = 18
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Apply the distributive property
Please tell me what t is too
Answer:
t = 18/2
= 9
Sorry only thing I know is this!!
The value of t from the given equation is 9.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 2t+2=20.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Now, 2t=18 (Subtract 2 on both the sides of an equation)
t=9 (Divide 2 on both the sides of an equation)
Therefore, the value of t from the given equation is 9.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
5081 divided by 203, the quotient is? Siusjsia
Answer:
The quotient is 25.0295566502.
Simplify. 31 - 48 + 7
Answer:
-10
Step-by-step explanation:
Its always best to plug in your equation in the calculator after you solve an equation to see if your answer is correct.
Now suppose instead that Jane withdraws $500 from her checking account and uses $300 of this money to pay her federal income tax. After that, she uses $120 to buy a set of used golf clubs from her neighbor who deposits it into his checking account. Finally, she deposits the remaining cash from the $500 withdrawal into her savings account. By what dollar amount does the country's money supply change as a result of Jane's actions?
Answer:
Step-by-step explanation:
a. Money held by individuals in savings accounts is part of the M2 money supply, but not part ofthe M1 money supply. Therefore, when Jane withdraws $500 cash from her savings account,the M1 money supply increases by $500. However, the M2 money supply does not changebecause the M1 money supply is included as part of the M2 money supply.b. Money held by banks and governments is not included as part of the money supply. Therefore,when Jane uses $300 to pay her income tax to the U.S. Treasury, that total of $300 is taken out ofboth the M1 and M2 money supplies. When Jane deposits the remaining cash ($80) into hersavings account, the M1 money supply is reduced by that amount, but it does not affect the M2money supply. Therefore, Jane's actions cause the M2 money supply to change by $300 (theamount used to pay her taxes) and the M1 money supply to change by $380 (the amount used topay her taxes plus the amount that was deposited into her savings account). Note that it does notmatter that Jane no longer has the $120 she used to pay for the gold clubs, as the funds remainsin someone else's checking account. So this amount is neither removed from the M1 moneysupply nor the M2 money supply.NumericResponseDifficulty: 03 HardLearning Objective: 1402 List anddescribe the components of the U.S.money supply.5000380300References
Type the correct answer in the box. Find f(g(x)) for the functions f(x)=5 √x+1 -2 and g(x)= x^2 -1 . f(g(x)) = _____ are these functions inverses? _
g(x)=x^2-1
f(g(X))=5 sqrt(x^2-1+1)-2
5 sqrt(x^2)-2
:sqrt cancel the square
5x-2
Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?
PLEASE HELP I WILL MARK BRAINLYEST. 50 POINTS PLEASE. I WILL REPORT ABSURD ANSWERS. MY QUESTIONS ARE THE IMAGES BELOW
Answer:
1, 3, 4- yes, 2- noStep-by-step explanation:
#1
Yes, it is functionx-values are unique and each has one corresponding y-value#2
No, it is not a functionx-values are repeated with different y-value: (13, 4) and (13, -4)#3
Yes, it is a functionIf you put a vertical line, there will always be one intersection with the graph#4
Yes, it is a functionThis will produce a parabola which is a graph of a normal function with unique x-values and corresponding y-valuesAn integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers
Answer:
The required integers are x=3 and y= -9
Step-by-step explanation:
Let one the integers be x and y
An integer is 15 more than 2 times another: x=15+2y
product of the two integers is -27: x*y=27
[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]
Solving both equations to find values of x and y
Putting value of x from equation 1 in equation 2
[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]
This can be solved using quadratic formula:
[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Putting values and finding factors
[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]
Since y is integer so, we consider only y= -9
The value of x will be:
[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]
So, the value of x is x=3
The required integers are x=3 and y= -9
When evaluting an expression, is it easier to combine terms first or substitute values first? PLSSSS ANSWERRR ILL GIVE BRAINLIEST
Answer:
What do you mean by combining terms?
If you have an equation like y=3(2+x), then you would need to substitute for x before you combined the terms "2" and "x"
(05.02)
x? - 100
Simplify completely x? + 2x - 120
+
6x + 60
X-2 .(2 points)
X-1
6(x+6)
X-2
6(x+10)
X-2
6(x+12)
X-1
3(x+12)
Answer:
The last option.
Answer:
[tex]\frac{x^{2}-100 }{x^{2}+2x-120 }+\frac{6x+60}{x-2}\\\\\\=\frac{(x-10)(x+10)}{(x-10)(x+12)}+\frac{6x+60}{x-2}\\\\=\frac{x+10}{x+12}+\frac{6(x+10)}{x-2}\\\\=(x+10(\frac{1}{x+12}+\frac{6}{x-2})\\\\=(x+10)(\frac{x-2+6x+6.12}{(x+12)(x-2)})\\\\=(x+10)(\frac{7x+70}{(x+12)(x-2)})\\=\frac{7(x+10)^{2} }{(x+12)(x-2)}[/tex]
It's the simplest form I can make
Step-by-step explanation:
Solve
72 + 4 - 4x = 36
Answer:
x=10
Step-by-step explanation:
We first need to combine like terms
76-4x=36 We will then use inverse operations to find x
-4x=-40 Continue using inverse operations
x=10
Answer:
76-4x=36
-4x=-40
40=4x
x=10
Step-by-step explanation:
What are the zeros for the function
f(x) = (x + 7)(x + 5)
Answer:
(-7,0) and (-5,0)
Step-by-step explanation
1. 0= (x + 7)
-7 -7
-7=x
(-7,0)
2. 0= (x + 5)
-5 -5
-5=x
(-5,0)
3. (05.05)
Which of the following inequalities matches the graph? (1 point)
x<2
y> 2
y<2
x>2
Answer:
The inequality [tex]x>2[/tex] matches the graph.
Step-by-step explanation:
The graph shows that the shaded graph is headingtowards the +ve ∞ from the [tex]x > 2[/tex].
As the graph involves a dotted line, meaning the inequality must
contain < or > inequality.
The dotted line illustrates that [tex]x=2[/tex] will not be in the solution of the inequality.
so (2, ∞) is the interval of the domain of the inequality will be:
Therefore, inequality [tex]x>2[/tex] matches the graph.
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 90 yd, find its length and width.
Answer:
Length of rectangle = 36 yd and width of rectangle = 9 yd
Step-by-step explanation:
Let width of rectangle = w
Length of rectangle = 4w (four times the width)
Perimeter of rectangle = 90 yd
We need to find length and width of rectangle.
The formula used will be: [tex]Perimeter \ of \ rectangle=2(l+w)[/tex]
Where l is length and w is width
Putting values and finding length and width of rectangle
[tex]Perimeter \ of \ rectangle=2(l+w)\\90=2(4w+w)\\90=2(5w)\\90=10w\\w=\frac{90}{10}\\w=9[/tex]
So,width (w) of rectangle is w= 9 yd
Finding length of rectangle = 4w = 4*9 = 36 yd
So, length of rectangle = 36 yd and width of rectangle = 9 yd
Can someone please help me
21/7 of 2 1/2 can you show example please
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{21}{7}\ of\ 2\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{21}{7}\times2\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{21}{7}\times\dfrac{2\times2+1}{2}}[/tex]
[tex]\mathsf{=\dfrac{21}{7}\times\dfrac{4 +1}{2}}[/tex]
[tex]\mathsf{=\dfrac{21}{7}\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{=\dfrac{21\div7}{7\div7}\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{= \dfrac{3}{1}\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{= \dfrac{3\times5}{1\times2}}[/tex]
[tex]\mathsf{= \dfrac{15}{2}}[/tex]
[tex]\mathsf{\approx 7\dfrac{1}{2}}[/tex]
[tex]\huge\textsf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{7 \dfrac{1}{2}}}\huge\checkmark[/tex] [tex]\large\textsf{or even}\rightarrow[/tex] [tex]\huge\boxed{\frak{\dfrac{15}{2}}}\huge\checkmark[/tex][tex]\uparrow\large\textsf{Either these should work because they are equal to each other.}\uparrow[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
hhheeelllppptukskuttttttt
Answer:
A
Step-by-step explanation:
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
Given the function below, evaluate h(2) for x = -2
h(x) = -4x2 + x +1
Find the surface area of the figure L=6 W=15 H=4
A. 154 m2
B. 308 m2
C. 203 m2
D. 357 m2
Answer:
Step-by-step explanation:
Given
L=6
W=15
H=4
Solution surface area of the figure=2(lb+bh+hl)
=2(6×15+15×4+4×6)
=2(90+60+24)
=2(174)
=348m^2