Answer:
[tex]Probability = 23.3\%[/tex]
Step-by-step explanation:
Given
Number cube
Toss = 8
Required
Probability of not landing on 3
First we need to get the probability of landing on 3 in a single toss;
For a number cube;
[tex]n(3) = 1[/tex] and [tex]n(Total) = 6[/tex]
So; the probability is
[tex]P(3) = \frac{1}{6}[/tex]
First we need to get the probability of not landing on 3 in a single toss;
Opposite probability = 1;
So:
[tex]P(3) + P(3') = 1[/tex]
Make P(3') the subject of formula:
[tex]P(3') = 1 - P(3)[/tex]
[tex]P(3') = 1 - \frac{1}{6}[/tex]
[tex]P(3') = \frac{5}{6}[/tex]
In 8 toss, the required probability is
[tex]Probability = (P(3'))^8[/tex]
This gives
[tex]Probability = (\frac{5}{6})^8[/tex]
[tex]Probability = \frac{390625}{1679616}[/tex]
[tex]Probability = 0.23256803936[/tex]
Convert to percentage
[tex]Probability = 23.256803936\%[/tex]
Approximate to 1 decimal place:
[tex]Probability = 23.3\%[/tex]
Translate the following statement into an algebraic expression: Use x for your variable. The sum of the square of a number and eleven times the number.
Step-by-step explanation:
Let x be the number.
Then the algebraic expression will be x^2 + 11x.
The algebraic expression in x will be : x² + 11x
Given,
Variable x,
The sum of the square of a number and eleven times the number.
Now,
Let the variable be x .
Square of variable : x²
Eleven times of the variable x : 11x
Now combine the term to get the algebraic expression,
Alegbraic expression : x² + 11x
Know more about equations,
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I _______ the test when I remembered the correct answer. A. completes B. completing C. had completed D. will complete
Answer:
D
Step-by-step explanation:
Hope this help u
Answer:
c
Step-by-step explanation:
I HAD COMPLETED the test when I REMEMBERED the correct answer.
(remembered is a past tense. Therefore it's more appropriate to use "had completed")
On side of a square measures 9 centimeters. Find the area of the square
Answer:
I think it is 81cm squared
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: 81 \: {cm}^{2} }}}}}[/tex]
Step-by-step explanation:
Given , length of a square = 9 cm
We know that, all the sides of the square are same.
Finding the area of the square
[tex] \boxed{ \sf{area \: of \: a \: square = {l}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{ \: area \: of \: a \: square \: = \: {(9 \: cm)}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{area \: of \: a \: square \: = 9 \: cm \: \times \: 9 \: cm}}[/tex]
[tex] \dashrightarrow{ \sf{area \: of \: a \: square = 81 \: {cm}^{2} }}[/tex]
Hope I helped!
Best regards! :D
0.2(10−5c)=5c− 16 pls help
Answer:
c=3
Step-by-step explanation:
5. A shipping service uses the weight of a package to determine its postage.
The charge is $3 for the first pound and $2 for each additional pound up to
5 pounds. What are the domain and range of the function?
3,0 <1
5, 1<x<2
f(x) = 7,2 <x<3
9,3 < x < 4
11,4 < x < 5
You put in 3 to you piecewise function and 2 to your X value
Pleaseeeee helppppp with this math
Answer:
Y=75 bring a linear angle
Answer:
Y is 75 by linear pair
hope it's help h
Choose the value for x that solves this equation. 0 = -2x + 6
Answer:
x = 3
Step-by-step explanation:
Hi there !
0 = - 2x + 6
2x = 6
x = 6 : 2
x = 3
Good luck !
The sum of 15 and a number is equal to 85. What is the number
Answer:
The sum of 15 and a number is
85 - 15 = 70
It's looking for the solved answer, not the simplified expression (no variable in final answer)
Answer:
BC = 144 units
Step-by-step explanation:
BC = BD + DC , substitute values
8x = 4x + 10 + 3x + 8 = 7x + 18 ( subtract 7x from both sides )
x = 18
Thus
BC = 8x = 8 × 18 = 144 units
Adrian creates some paintings every month. The numbers below show how many paintings Adrian has completed each month for the last year. What is the median of the set of data? 4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 *
Given :
Number of paintings Adrian created each month for the last year are :
4, 5, 2, 1, 0, 3, 2, 4, 3, 2, 7, 5 .
To Find :
The median of the set of data .
Solution :
To find the median we should arrange the numbers in ascending order .
So , 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 7 .
Now , median for odd is the middle term but for even numbers it is the average of middle two terms .
So ,
[tex]Median =\dfrac{3+3}{2}\\\\Median =3[/tex]
Therefore , the median of the set of data is 3 .
Hence , this is the required solution .
3.(4+5) is how much more than 3.4+5?
Answer:10 more
Step-by-step explanation:
distributive property so 3*4+3*5 so 12 an 15 or 27. 3*4+5 is 12+5 so 17 27-17 is 10
Answer:
4
Step-by-step explanation:
3(4+5) = 12
3.4+5 = 8.5
12 - 8.5 = 7.5
hope this helps you
Sara buys 1 pair of jeans for $20 and 5 shirts .The total of her purchase was $55.Witch equation models the scenario? a)1+5=20x b)20+5x=55 c)20-5x=55 d)1x+5=55
Answer:
the answer is b)20+5x=55
Write the following number in standard decimal form. nine and ninety-five thousandths
Answer:
9.095 is the answer.
Step-by-step explanation:
Does (-6)2 have a value less than zero?
Answer:
yes it does, -6x2= -18
Step-by-step explanation:
6) Marcy gave Juanita as many dimes as Juanita had. Then Juanita gave Marcy as many dimes as Marcy had left. Juanita now had 26 dimes and Marcy had 20 dimes. Originally, Marcy had( )dimes.
Answer:
0
Step-by-step explanation:
The original amount of dimes Marcy had before sharing with Jaunita is 52.
What is the solution to the word problem about dimes?Let's break down the given information step by step to determine the original number of dimes Marcy had.
Marcy gave Juanita as many dimes as Juanita had.
After this transaction, Juanita now has 26 dimes, and Marcy has x - 26 dimes, where x is the original number of dimes Marcy had.
Juanita gave Marcy as many dimes as Marcy had left.
After this transaction, Marcy now has 20 dimes, and Juanita has 26 - 20 = 6 dimes remaining.
From the above information, we can set up the following equation:
x - 26 = 20 + 6
Simplifying the equation:
x - 26 = 26
Adding 26 to both sides:
x = 52
Therefore, the original amount of dimes Marcy had is 52 dimes.
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The diameter of the circle is 6 miles. What is the area of the circle? Use 3.14 for II.
Answer:
28.26 miles
Step-by-step explanation:
Area= pi times radius squared
diameter is twice the radius so 6÷2=3miles
3 miles is the radius
So A= 3.14 × 3²
= 28.26
Formula: A = πr²
Divide to find the radius.
6 / 2 = 3
Solve using the values we are given and solved for.
A = π(3)²
A = 9π
A ≈ 28.26
Best of Luck!
A customer wants you to enlarge a photo to 2 3 4 234 its current height. The photo's current height is 3 1 4 314 inches. What should its enlarged height be, in inches? 6 6 3 16 6316 6 11 16 61116 7 8 15 16
Answer:
The question is not clearly stated, below is the clearly stated question and answer:
A customer wants you to enlarge a photo to 2 3/4 its current height. The photo’s current height is 3 1/4 inches. What should its enlarged height be, in inches?
Answer:
[tex]Enlarged\ height = 8\frac{15}{16}\ inches[/tex]
Step-by-step explanation:
[tex]current\ height\ =\ 3\frac{1}{4} = \frac{13}{4} \\ magnification\ factor = 2\frac{3}{4} = \frac{11}{4} \\Magnification (enlargement)\ =\ (magnification\ factor) \times (current\ height)\\Magnification\ =\ \frac{11}{4} \times \frac{13}{4}\\ Magnification\ =\ \frac{143}{16}[/tex]
Next, we will concert from the improper fraction to a mixed fraction:
when 143 is divided by 16, there will be 8 whole numbers and a remainder of 15, hence, the mixed fraction is:
[tex]\frac{143}{16} = 8\frac{15}{16}[/tex] (Alternatively, a scientific calculator can be used)
Therefore, enlarged height [tex]= 8\frac{15}{16}\ inches[/tex]
whats the answer to this
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Domain is the furthest X value while Range is the furthest Y value.
Write a
as a repeating decimal.
Write 2/5 as a repeating decimal.
Answer:
0.4
Step-by-step explanation:
2/5 = 4/10
4/10 = 0.4
2/5 is not a repeating decimal.
Hope This Helps :)
There are 6 squares and 2 circles. What is the simplest ratio of circles to total shapes?
Add to find the total number of shapes.
6 + 2 = 8
Circles to total amount of shapes -> 2:8
Divide 2 to both sides.
2/2:8/2
1:4
Therefore, the answer is 1:4
Best of Luck!
11. Point F is on segment EG. If FG = (27x - 50)° and EF = (3x - 2)° and EG = 38,
then find FG. *
Answer:
Step-by-step explanation:
27x -50 + 3x - 2 = 38
30x - 52 = 38
30x = 90
x = 3
27(3) - 50 = 81 - 50 = 31 = FG
Dr. Watson received a $15 gift card to download music for her mp3 player. Each Song costs $1.50. Find the equation that represents the
remaining balance on the gift card after x downloads. What is a suitable domain for this function?
Answer:
y = -1.50x + 15, Domain is from 0 to 10
Step-by-step explanation:
First, look at the question carefully and highlight all the words that are important. We know that the 15 dollar giftcard is important, and we know that each song costs 1 dollar and 50 cents is important. We will make an equation out of this information. Since she is spending money, the value of X will be negated. She starts out with 15 dollars, so that will be our y-intercept. From this, the equation is y = -1.50x + 15. Next, let's look at the domain. We can see that the question asks for a suitable domain, not the domain of the function. Since she didn't have more than 15 dollars from her gift card, any domain from negative infinity until 0 will be crossed out. The x-intercept of this equation is 10, so any value above 10 will be crossed out since you cannot spend more money than you were given. The domain would now be from 1 to 10.
-4x+5x combine like terms
Answer:
1x
Step-by-step explanation:
Answer:
-20x
Step-by-step explanation:
Sam has 106 dollars. And his friend Max has 10 times as many dollars as Sam does. How much does Max have?
What's the difference between 9 times a number and 4 in an algebraic expression.
Answer:
9*4 or 9 into 4
Step-by-step explanation:
What is the 8th term of this geometric sequence?
1, 3, 9, 27,...
Answer:
1*3*3*3*3*3*3=729. For each term you multiply the previous term by three.
Answer:
2187
Step-by-step explanation:
To find the 8th term, we can find and use the explicit formula.
The standard form of the explicit formula for a geometric sequence is:
[tex]x_n=a(r)^{n-1}[/tex]
Where a is the initial term, r is the common ratio, and n is the nth term.
From the sequence, we can see that the first term is 1, and each term is 3 times the previous term. Thus, the common ratio is 3.
Substituting these into our equation, we will have:
[tex]x_n=1(3)^{n-1}\\x_n=(3)^{n-1}[/tex]
So, to find the 8th term, substitute 8 for n:
[tex]x_8=(3)^{8-1}[/tex]
Subtract:
[tex]x_8=(3)^7[/tex]
Evaluate:
[tex]x_8=2187[/tex]
So, the 8th term is 2187.
And we're done!
2 (x + 8) > 18 + x -4 need this really soon
[tex]\text {Hey! To solve this problem you must...}[/tex]
[tex]\text {Simplify the Equation:}[/tex]
[tex]\text {Multiply (x+8) by 2.}[/tex]
[tex]\text {x becomes 2x. 8 becomes 16}[/tex]
[tex]2x+16>x+14 \text { will be your answer once you simplify it.}[/tex]
[tex]\text {The Next Step is to Subtract x:}[/tex]
[tex]\text {Q: Why Subtract x instead of adding x?}[/tex]
[tex]\text {A: We need x to cancel out. So x-x will cancel out each other.}[/tex]
[tex]\text {Note: In equations like these x-x is another way of saying 1-1.}[/tex]
[tex]2x+16-x>x+14-x\\x+16>14 \text { would be your answer once you subtract x.}[/tex]
[tex]\text {The Final Step is to Subtract 16.}[/tex]
[tex]\text {Note: Subtracting 16 will cancel out 16-16 and just leave x by itself.}[/tex] [tex]\text {That's what we are working towards.}[/tex]
[tex]x+16-16>14-16\\x>-2 \text { would be your final answer.}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex]\text {-LimitedX}[/tex]
Hey there!
ANSWER: [tex]x>-2[/tex]EXPLANATION:[tex]2(x+8)>18+x-4[/tex]
In our first step, we will need to simplify the inequality.
[tex]2x+16>x+14[/tex]
Now we have to subtract x from both sides of the inequality.
[tex]2x+16-x>x+14-x=x+16>14\\x+16>14[/tex]
In our last step, we will need to subtract 16 from both sides of the inequality.
[tex]x+16-16>14-16=x>-2\\x>-2\text{(ANSWER)}[/tex]
Hope this helps!
[tex]\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}[/tex]
if k=7 than 4k-2= what
Answer:
26
Step-by-step explanation: I'm pretty sure its 26 because if k = 7 then 4 times 7 equals 28. Then you subtract 2. That's how I got 26.
Answer:
26Step-by-step explanation:
[tex]4k-2\\k= 7\\[/tex]
Substitute 7 for k into the given equation
[tex]4(7)-2\\\\=28-2\\\\=26[/tex]
A student has some $1 and $5 bills in his wallet. He has a total of 19 bills and that are worth $55. how many of each type of bill does he have
Answer:
y= 9 ( 5 dollars bill)
x=10 ( one dollar bill)
Step-by-step explanation:
let x be the one dollar bill and y the 5 dollar bill
x+y=19 ⇒ x=19-y
x+5y=55 ( solve by substitute x=19-y)
19-y+5y=55
4y=55-19
4y=36 ⇒ y=36/4
y= 9 ( 5 dollars bill)
x+y=19
x+9=19
x=19-9
x=10 ( one dollar bill)
check :
x+5y=55
10+5(9)=
10+45 = 55 dollars
What symbol u use with this?
Answer:
18-14=4
4 more sandwiches.