Answer:
The probability of this occurring is 1/7
Step-by-step explanation:
Okay, here is a probability question.
From the question, we can identify the following;
Total number of socks = 2 + 4 + 2 = 8 socks
Since we are not given the order in which the socks was worn, we can assume any order.
Let’s say the right leg socks was worn first.
From the question, the socks on the right leg is a brown one.
So now let’s calculate the probability of selecting a brown socks out of the mix
That would be ;
number of brown socks/ total number of socks = 4/8 = 1/2
Now, for the left foot, we are having white sock here.
Kindly recall that since we already have a sock on the right foot, we have 7 socks left to pick from.
Now we need the probability of picking a white sock from the total 7. That would be ; 2/7
So the probability of both action occurring is simply the product of both probabilities and that is ;
1/2 * 2/7 = 1/7
Rewrite 2/20 : 1/40 as a unit rate
Answer:
[tex]\frac{4}{1}[/tex]
Step-by-step explanation:
Given:
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) = [tex]\frac{2}{20}[/tex] × [tex]\frac{40}{1}[/tex] = [tex]\frac{4}{1}[/tex]
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert [tex]\frac{4}{1}[/tex] to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is [tex]\frac{4}{1}[/tex]
Answer:4/1
Step-by-step explanation:
I say this because you are supposed to divided it and the answer is 4 then you find the answer choice with a 1 as the denominator and it should say 4/1 and that is the correct answer.
3.what is 8/30 equal to?
Answer:
4/15Step-by-step explanation:
[tex]\frac{8}{30}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4}{15}[/tex]
please help me with this
Answer:
14/18 =0.7778
Step-by-step explanation:
14/18 =0.7777.........=0.7778 rounded to the nearest thousandth
2.67 (7 repeating) as a fraction
Answer:
241/90 or 2 61/90
Step-by-step explanation:
Let's call the given number 2.67(7) = x
Then use below steps:
10x = 26.7(7)100x = 267.7(7)100x - 10x = 241 ⇒ subtract to get rid of the repeated part90x=241 ⇒ solve to get fractionx= 241/90 = 2 61/90 ⇒ answer241/90
2 61/90
Step-by-step explanation:2.67(7) =
= (2677 - 267)/900
= 2410⁽¹⁰/900
= 241/90
= 2 61/90
2. The radius of a circle is 9 cm. Find the area of the circle
(Use 3.14 as the approximation of T.)
Answer:
Area of a Circle = 254.34 cm²
Step-by-step explanation:
Area of a Circle = π r²
Area of a Circle = 3.14 * 9²
Area of a Circle = 254.34 cm²
Rewrite the number in standard form. 3.4 x 10^8
Answer:
340000000
Step-by-step explanation:
3.4 x 10^8 is in scientific notation.
To change this to standard form you have to multiply 3.4 by 10 to the 8th power. You would be multiplying 3.4 by 10 eight times. It's a positive 8 so you move the decimal point 8 times to the right. If it were a negative then you'd move the decimal to the left.
3.4
↑ moving the decimal 8 times to the right would then make it 340000000What slope is parallel to m=3/4
Answer:
[tex]\large \boxed{{m= \frac{3}{4} }}[/tex]
Step-by-step explanation:
Parralel lines have the same slope.
The slope will be [tex]\frac{3}{4}[/tex]
The line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
The slope is the measure of the steepness of a line. It is also known as the gradient of a line.
Two parallel lines are known to have equal slopes. For example;
The line y = 2x - 5 and y = 2x + 3 are parallel because they have the same slope which is 2.Therefore for the line with a slope m = 3/4, the slope of the line parallel to this line will also be 3/4
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0.138.2 + 0.0032 correct to 1 decimal place
Answer:
Exact: 0.1414
Rounded: 0.1
Step-by-step explanation:
1. Three times the the difference between x and five?
2. One half times a number increased by six?
Answer:
Step-by-step explanation:
1. 3(x - 5)
2. 0.5x + 6.
Answer:
1) 3(x-5)
2) 1/2x+6
Step-by-step explanation:
Three times the difference between x and five.
Three times=3* or 3(
difference between x and five= x-5
Together it will be
3(x-5)
One half times a number increased by six
One half times a number= 1/2x
increased by six= +6
Together it will be
1/2x+6
Hope this helps ;) ❤❤❤
Solve for x in the simplest form 11=1/2(x+8)
Answer:
[tex] \boxed{\sf x = 14} [/tex]
Step-by-step explanation:
Solve for x:
[tex] \sf \implies 11 = \frac{1}{2} (x + 8)[/tex]
[tex] \sf 11 = \frac{1}{2} (x + 8) \: is \: equivalent \: to \: \frac{1}{2} (x + 8) = 11 : [/tex]
[tex] \sf \implies \frac{1}{2} (x + 8) = 11[/tex]
[tex] \sf Multiply \: both \: sides \: of \: \frac{1}{2} (x + 8) = 11 \: by \: 2 : [/tex]
[tex] \sf \implies \frac{1}{ \cancel{2}} (x + 8) \times \cancel{2 }= 11 \times 2[/tex]
[tex] \sf \implies 1(x + 8) = 11 \times 2[/tex]
11 × 2 = 22:
[tex] \sf \implies x + 8 = 22[/tex]
Subtract 8 from both sides:
[tex] \sf \implies x + (8 - 8) = 22 - 8[/tex]
8 - 8 = 0:
[tex] \sf \implies x = 22 - 8[/tex]
22 - 8 = 14:
[tex] \sf \implies x = 14[/tex]
The value of x is 4, for the equation 11 = 1/2 (x + 8).
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
11 = 1/2 (x + 8)
Simplify the equation by multiplying 2 in both the sides,
11 × 2 =2 × 1/2 × (x + 8)
22 = x + 8
Subtract 8 from both the sides,
22 - 8 = x + 8 - 8
14 = x
or x = 14
The required value of x for the given equation is 14.
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Hi plz just give me an answer. no explanation needed. sorry and thanks
Answer:
B=45
The sum of the interior angle of a triangle is equal to 180
Therefore equate angle A, B and C to 180
then add them to get 135 + c=180
group like terms,135 crosse the equal sign to be negative
which is c=18p-135
c=45
Help meeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
by the way and the answer is c for yhe reasin because the of tje by theand i thaith
A high school athlete ran the 100 meter sprint in 13.245 seconds. what is the time rounded to the nearest tenth. Award is brainliest
The value of each digit in a number is known as the place value. The time rounded to the nearest tenth is 13.2 seconds.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10Given the time to run is 13.245, now tenth means the value that is after the decimal. Since the value after the tenth is 4, therefore, the tenth value will remain the same but the numbers after that will be erased.
Hence, the time rounded to the nearest tenth is 13.2 seconds.
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Help urgent, which functions are bounded below but not above? Choose all answers that apply.
Answer:
c, e, f, and i
Step-by-step explanation:
a. is bounded above at y = 1 and below at y = 0
b. is unbounded both above and below
c. is bounded below at y = 0 and unbounded above
d. is unbounded both above and below
e. is bounded below at y = 0 and unbounded above
f. is bounded below at y = 0 and unbounded above
g. is bounded below at y = 0 and bounded above at y = 1
h. is unbounded both above and below
i. is bounded below at y = 0 and unbounded above
j. is unbounded both above and below
hii:) anyone able to help with practice 6? Thanks:)!
Answer:
The answer is
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Step-by-step explanation:
[tex] ln(2) \times ln(4x) = 3[/tex]Divide both sides of the equation by ln 2
That's
[tex] \frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) } [/tex]We have
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]Covert the logarithm into exponential form using the property
[tex] ln(x) = b\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:
x = {e}^{b} [/tex]Are all the same
So
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]is the same as
[tex]4x = {e}^{ \frac{3}{ ln(2) } } [/tex]Divide both sides by 4
We have the final answer as
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Hope this helps you
PLEASE I BEG FOR HELP! Find mKNL A. 247 B. 184 C. 196 D. 264
Answer:
D. 264°
Step-by-step explanation:
When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs. Therefore,
60° = 1/2[(18x - 6)° - (5x +17)°]
60° * 2 = (18x - 6 - 5x - 17)°
120° = (13x - 23)°
120 = 13x - 23
120 + 23 = 13x
143 = 13x
143/13 = x
11 = x
x = 11
(18x - 6)° = (18*11-6)°= (198 - 6)° = 192°
(5x +17)° = (5*11 +17)° =(55+17)° = 72°
m (arc KNL) = (18x - 6)° + (5x +17)° = 192° + 72°
m (arc KNL) = 264°
[tex] \frac{ {x}^{3} }{x { }^{2} + 2x + 1} [/tex]
Hi! I need help with the problem above. I know the answer to it is x-2+((3x+2)/(x^2+2x+1)), but I need help knowing and understanding the process. I can usually divide polynomials with ease, but I have never had to divide when the divisor is larger than the dividend. Can you please show me how to solve this with long division? Also, if you still have time to help me, how would synthetic division work with this? Thank you in advance!
Since
[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^3}{(x+1)^2}[/tex]
we can perform synthetic division twice, first for
[tex]\dfrac{x^3}{x+1}[/tex]
then dividing the result by [tex]x+1[/tex] again.
... || 1 0 0 0
-1 || -1 1 -1
================
... || 1 -1 1 -1
This translates to
[tex]\dfrac{x^3}{x+1}=x^2-x+1-\dfrac1{x+1}[/tex]
Now divide [tex]x^2-x+1[/tex] by [tex]x+1[/tex]. (Dividing the remainder term by [tex]x+1[/tex] can wait until the end.)
... || 1 -1 1
-1 || -1 2
=============
... || 1 -2 3
or equivalently,
[tex]\dfrac{x^2-x+1}{x+1}=x-2+\dfrac3{x+1}[/tex]
Taking everything together, we have
[tex]\dfrac{x^3}{x^2+2x+1}=\dfrac{x^2-x+1}{x+1}-\dfrac1{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac3{x+1}-\dfrac1{(x+1)^2}[/tex]
Combine the last two fractions:
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3(x+1)-1}{(x+1)^2}[/tex]
[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]
which agrees with the solution we found in your other question.
(There's a variant of synthetic division that works with directly dividing a polynomial by another one of any degree, but it's basically just a condensed version of applying the algorithm for dividing a polynomial twice by a linear one, like we've done here.)
Step by step please: x^3+2x^2-5x-6=0
Answer:
x=-1, x=2, x=3
Step-by-step explanation:
Factor the left side of the equation.
(x+1)(x^2+x-6)
(x+1)(x-2)(x-3)
Now set everything equal to 0
x+1=0
x-2=0
x-3=0
Now solve for x
therefore, the answer is x=-1, x=2, x=3
What number needs to be eliminated to solve this equation? 3d = -81
Answer:
You must first divide 3 from both sides.
Step-by-step explanation:
Whenever you solve an equation such as this you are always trying to isolate the variable that is given. In this case we are arriving at the value of d alone.
3d = -81
d = -27
Hope this helps!
Answer:
i believe that 3 needs to be eliminated
Step-by-step explanation:
3d÷3=-81÷3
d=27
hope i helped :D
I can’t figure this out pls help 17-2p=2p+5+2p
Answer:
p=2
Step-by-step explanation:
17-2p=2p+5+2p
17-2p=4p+5
17=6p+5
12=6p
2=p
whats the pattern 729, -243, 81, -27, 9
Answer:
This is the product of three nines (three factors of 9). 9 × 9 × 9 × 9 = 6561 --> This is the product of four nines (four factors of 9). It's a common mistake among educators to state that 81 is what we get by "multiplying nine by itself twice".
(3x + 5) (x2 – 10x + 2 ).
Answer:
[tex]3x^{3} -25x^{2} -44x+10[/tex]
Step-by-step explanation:
Hello!
To solve this we distribute what in one parenthesis into the other
3x
3x * x^2 = 3x^3
3x * -10x = -30x^2
3x * 2 = 6x
5
5 * x^2 = 5x^2
5 * -10x = -50x
5 * 2 = 10
Now we put like terms together and simplify
3x^3 + 0 = 3x^3
-30x^2 + 5x^2 = 25x^2
6x - 50x = -44x
0 + 10 = 10
Put it all together
3x^3 + 25x^2 - 44x + 10
Hope this helps!
Answer:
3x^3 + 25x^2 - 44x +10
Step-by-step explanation:
To answer this use FOIL
First Outer Inner Last
In this problem start by distributing the 3x
3x^3-30x^2+6x
Next distribute the 5 in the second parenthesis
5x^2 - 50x + 10
Lastly, add like terms (terms that have the same variable and powers)
3x^3 - 25x^2 +6x +10
What is an equation of the line that passes through the points (6,2) and (-6, -8)?
Put your answer in fully reduced form.
Step-by-step explanation:
Hey, there!!
Let me simply clear you.
The given points are (6,2) and (-6,-8).
Remember if you are finding the equation of the line passing through point, you will get equation in slope intercept form.
If there is two point you simply use one point formula. {i.e (y-y1)= m(x-x1)} (as the slope will be given too).If you are finding the equation for two points then use double point formula for the equation. { i.e (y-y1) = (y2-y1/x2-x1) × (x-x1)}.As in your question there are two points we must use double point formula,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
[tex]( y - 2) = \frac{ - 8 - 2}{ - 6 - 6} (x - 6)[/tex]
Simplifying them we get,
6(y-2)= 5(x-6)
6y - 12 = 5x -30
Therefore, 5x - 6y - 18 = 0 is the required equation.
Hope it helps.....
If the rectangle is 38 inches and the length is 12 how much is the width ?
Answer:
width= 3.17
Step-by-step explanation:
Divide 38 (the area) by 12 (the width)
Which equation represents this proportional relationship
y=3x
y=1/6x
y=6x
y=1/3x
Answer:
I think that, please check it y=3x
what is a short introduction of the story happy prince?
Answer:
happy prince was born and one day he died
Point c d and g lie on plane x. Point e and f lie on plane y. Which statements are true
The true statements are: 3, 4 and 5
Step-by-step explanation:
search it up
Answer:
2,3,and 4
Step-by-step explanation:
1. Which one does not belong *
O y=(x+4)(x-6)
O y=2x²-88-24
O y=x2+5x-25
O y=x®+3x?-10x-24
Answer:
I believe the answer is 2x² - 88 - 24, since it is the only one with a number in front of the x²
Step-by-step explanation:
y = x² - 2x - 24
y = 2x² - 88 - 24
y = x² + 5x - 25
y = x² + 3x - 10x - 24
-5-(-7)
Full work plz
Answer:
-5 - (-7) = 2Step-by-step explanation:
-5 - (-7) = -5 + 7 = (-5) + (7) = (7) + (-5) = 7 - 5 = 2
Jose Plans to make a down payment plus monthly payments in order to buy a Harley Davidson motorcycle. At one dealership, he would pay $8,000 down and pay $250 each month. At another dealership, he would pay $10,000 down and pay $125 each month. After how many months would the payment be the same for both dealers? What will that amount be?
a) 16 month
b) $12 000
Step-by-step explanation:$8000 + 250m = $10000 + 125m
250m - 125m = $10000 - $8000
125m = $2000
m = $2000 : 125
m = 16 months
After how many months would the payment be the same for both dealers ?16 months
What will that amount be ?$8000 + $250×16 =
= $8000 + $4000
= $12000
$10000 + $125×16 =
= $10000 + $2000
= $12000