Answer:
58.43%
Step-by-step explanation:
In this case we have that the probability that they are different is the opposite of the probability that they are the same, therefore, in each case it would be:
P (plain, plain) = (12/20) (11/19)
P (p, p) = 132/380
P (chocolate, chocolate) = (5/20) (4/19) = 20/380
P (ch, ch) = 20/380
P (currant, currant)= (3/20) (2/19) = 6/380
P (c, c) = 6/380
The probability that they are equal is the sum of each:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 0.4157
Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843 = 58.43%
It means that the probability is 58.43%
Answer:111/190
Step-by-step explanation:
Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?
Answer: 36
Step-by-step explanation:
Let the no. of biscuits be x
Peanuts will be 1/3x
So,
1/3x + 12 + 12 = x
1/3x + 24 = x
x + 72 = 3x
x-3x = -72
x = 72/2 = 36
Peanut biscuits will be 1/3 * 36 = 12
Total no. of biscuits baked were 12+12+12 = 36
How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?
Answer:
[tex]\boxed{Time = 8.33 hrs}[/tex]
Step-by-step explanation:
Given:
Distance = S = 1250 km
Speed = v = 150 km/hr
Required:
Time = t = ? hrs
Formula:
Speed = Distance / Time
Solution:
Rearranging the formula
=> Time = Distance / Speed
=> Time = 1250/150
=> Time = 8.33 hrs
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
Pleas answer this is in two minutes
Answer:
b
Step-by-step explanation:
not a because equilateral would be all equal
scalene is all different
Answer:
scalene
Step-by-step explanation:
because all sides are different.
PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?
Answer:
Approximately 9.90 units.
Step-by-step explanation:
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.
Plug in the numbers:
[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]
[tex]d=\sqrt{7^2+7^2}[/tex]
[tex]d=\sqrt{2(7)^2}[/tex]
[tex]d=7\sqrt{2}[/tex]
Un campanario tarda 4s en tocar 5 campanadas , ¿Cuanto tardara en tocar 10 campanadas?
¿Cuanto tardara en tocar 10 campanadas?
The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.
Answer:
b = 0
Step-by-step explanation:
To find the value of b, we will follow the steps below;
Using the distance formula:
D = √(x₂-x₁)² + (y₂-y₁)²
from the question given,
A (-3, b), this implies
(-3, b) = (x₁ ,y₁)
x₁=-3 and y₁ = b
similarly
B (1, 3)
(1, 3) = (x₂,y₂)
this implies
x₂ = 1 and y₂=3
D= 5
we can now proceed to insert the values into the formula and then solve for b
D = √(x₂-x₁)² + (y₂-y₁)²
5 = √(1+3)² + (3-b)²
5 = √4² + (3-b)²
5=√16 + (3-b)²
take the squares of both-side of the equation
5² = 16 + (3-b)²
25 = 16 + (3-b)²
subtract 16 from both-side of the equation
25 - 16 = (3-b)²
9 = (3-b)²
Take the square root of both-side
√9 = 3-b
3 = 3-b
add b to both-side of the equation
3 + b = 3 - b+ b
3 + b = 3
subtract 3 from both-side of the equation
3+b-3 = 3-3
b = 0
Therefore, the value of b is 0
What is the domain of the function y=3/x-1?
O
-00
O-1
O 0
O 1
Answer:
x ≠ 1.
Step-by-step explanation:
In mathematics, anything divided by 0 is null. It is not valid. And so, in this case, x - 1 must never equal 0, but it can be any number other than 0.
x - 1 = 0
x = 1
That means that the domain of the function is x ≠ 1.
Hope this helps!
The value of domain is,
⇒ {- ∞, ∞} - {1}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ y = 3 / (x - 1)
Now, We can find the domain as;
Here, The function is,
⇒ y = 3 / (x - 1)
Hence, Domain is,
⇒ {- ∞, ∞} - {1}
Thus, The value of domain is,
⇒ {- ∞, ∞} - {1}
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simplify 3 x (x + 2) + 2 x ( 1 - x)
Answer:
x+8
Step-by-step explanation:
[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]
Hope this helps!
Answer:
x + 8
Step-by-step explanation:
3 × (x + 2) + 2 × (1 - x)
3(x + 2) + 2(1 - x)
Expand the brackets.
3(x) + 3(2) + 2(1) + 2(-x)
Multiply the terms.
3x + 6 + 2 + -2x
Rearrange.
3x + - 2x + 6 + 2
Add like terms.
1x + 8
Which of the following is the correct factored form of the given equation?
Answer: 3
Step-by-step explanation:
ASAP The rectangle below has been enlarged by a scale of 3.5. A rectangle with a length of 8 and width of 6. [Not drawn to scale] What is the area of the enlarged rectangle?
Answer:
588 units^2
Step-by-step explanation:
To find the area of the enlarged rectangle, first find the length and width of the enlarged rectangle.
This is 3.5 multiplied by their original measures:
Length = 3.5 x 8 = 28
Width = 3.5 x 6 = 21
Now, area =. LxW = 588 units^2
Hope this helps
Answer:
588 units squared
Step-by-step explanation:
We have a rectangle that has dimensions 8 units by 6 units.
From the problem, we know that this rectangle has been enlarged by a scale of 3.5. Essentially, to obtain the dimensions of the new, bigger rectangle, we multiply the current length (8 units) by 3.5 and the current width (6 units) by 3.5:
new length = 8 * 3.5 = 28 units
new width = 6 * 3.5 = 21 units
Given this, we can now calculate the area.
The area of a rectangle is denoted by A = lw, where l is the length and w is the width.
Here, the length is l = 28 and the width is w = 21. Plug these in:
A = lw
A = 28 * 21 = 588
The answer is thus 588 units squared.
~ an aesthetics lover
Katrina is solving the equation x minus 2 (x + 3) = 4 (2 x + 3) minus (x + 4). Which equivalent equations might Katrina use? Check all that apply.
Answer:
-7/4 =x
Step-by-step explanation:
x-2(x+3) = 4(2x+3) -(x+4)
Distribute
x -2x -6 =8x+12 -x -4
Combine like terms
-x-6 = 7x +8
Add x to teach side
-x-6 +x = 7x+x+8
-6 = 8x+8
Subtract 8 from each side
-6-8 =8x+8-8
-14 = 8x
Divide by 8
-14/8 = 8x/8
-7/4 =x
Answer:
-5/6Step-by-step explanation:
[tex](x + 3) = 4 (2 x + 3)- (x + 4)\\Ope- the- brackets\\x+3 = 8x +12-x-4 \\Collect- like- terms\\x-8x+x=12-4-3\\-6x =5\\Divide-both-sides-by -6\\\frac{-6x}{-6} =\frac{5}{-6} \\x =-5/6[/tex]
Please answer this question now in two minutes
Answer:
y = 2x +10
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
__
Comparing this to the given equation, we see that line s has a slope of -1/2. The perpendicular line t will have a slope that is the negative reciprocal of this:
m = -1/(-1/2) = 2
Using the above point-slope form equation, we can write the equation of line t as ...
y -4 = 2(x -(-3))
y = 2x +6 +4 . . . . add 4, simplify
y = 2x +10 . . . . equation of line t
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction [tex]\frac{\sqrt {2}}{1}[/tex]
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction [tex]\frac{\sqrt {2}}{1}[/tex] is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
When x= 12, y= 144. (a) Express y in terms of x. (b) Find the value of y when x= 7.
Answer:
see explanation
Step-by-step explanation:
Given x = 12, y = 144
We can see that y is 12 times the value of x, thus
(a)
y = 12x
(b)
when x = 7, then
y = 12 × 7 = 84
Simplify the expression in the following photo.
Answer:
0
Step-by-step explanation:
If we factor out √5a from the numerator we have √5a * (√4 - √9 + √1) / √5a. √5a cancels out so we are left with √4 - √9 + √1 which equals 2 - 3 + 1 = 0.
TWO MINUTES HELP MY PLEASE
Answer: C
Step-by-step explanation:
Answer:
The third one. Y= -1/2x^2 -2x -1
Step-by-step explanation:
Which compound inequality can be used to solve the inequality 13x+2 >7?
RE
-7 <3x+2> 7
ОООО
-7> 3x+2> 7
3x + 2 >-7 or 3x + 2 >7
3x + 2<-7 or 3x + 2 >7
Answer:
(D)[tex]3x+2 < -7$ or $3x+2 >7[/tex]
Step-by-step explanation:
Given the absolute inequality: [tex]|3x+2| >7[/tex]
When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:
(Expression inside absolute value) < - (number on other side) OR (Expression inside absolute value) > (number on other side)Therefore, for the absolute inequality |3x+2| >7, we have:
[tex]3x+2 < -7$ or $3x+2 >7[/tex]
The correct option is D.
Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Answer: Francisco is correct
Step-by-step explanation:
Positive 4 and positive 7
Negative 3 and negative 2
4 * 7 = 28
-3 * -2 = 6
If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?
Answer:
14 months and 1/3 of a month
Step-by-step explanation:
We can find how many months it will take by dividing the cost by the amount she puts away each month:
2150/150 = 14.33
So, it will take her 14 and 1/3 of a month
X=2 in standard form
Answer:
[tex]A2+By=C[/tex]
Step-by-step explanation:
Well standard form is [tex]Ax+By=C[/tex].
And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].
So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.
So [tex]Ax+By=C[/tex]
x -> 2
So answer is [tex]A2+By=C[/tex]
2A+By=C is the standard form of X=2
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The standard form of a linear equation is Ax+By=C.
A times of x plus B times of y equal to C
A, B, and C are constants,
x and y are variables.
Standard form lets us quickly find the x- and y- intercepts.
By given x value is 2.
Now plug in the value of x in standard form of equation.
2 times of A plus B times of y equal to C
2A+By=C
Hence 2A+By=C is the standard form of X=2
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Simplify the following expression (62)4
Answer:
[tex]3^{0} =1[/tex]
Step-by-step explanation:
A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?
Answer:
2.38 Kg were eaten
Step-by-step explanation:
first we should divide 34 by 100
the result will be 0.34
then we multiply 0.34 x 7 Kg = 2.38 Kg
Which rule describes the composition of transformations
that maps ABC to A'B'C"?
Answer:
Step-by-step explanation:
To get from ABC to A'B'C', ABC is reflected across line m.
To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".
I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C", instead of A'B'C' or A"B"C", but I really hope this answers your question!
The rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
We have to given that,
To find the rule which describes the composition of transformations that maps ABC to A'B'C'.
Here, The triangle ABC and it's image A'B'C' is shown in image.
Clearly, Image of triangle ABC is reflect across the line m.
Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
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Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples.
Answer:
She bought 3 pounds of apples.
Step-by-step explanation:
First we look at our given steps:
1 pound of apples=$1.79
total=$5.37
We need to divide her total by the cost per pounds of apples. So 5.37/1.79=3.
The number of pounds Anita purchased is 3.
How many pounds did Anita purchase?Given: $1.79 per pound, spent $5.37 on apples
We must divide her aggregate by the cost per pound of apples.
Number of pounds = Total Spent / Amount per pound
Number of pounds = 5.37/1.79
Number of pounds = 3.
The number of pounds Anita purchased is 3.
Therefore, the number of pounds is 3.
The completed question is,
Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples. Type the correct answer in the box.
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HELP
Find the volume of the sphere in terms of Pi
Answer:
Hey there!
The volume of a sphere is 4/3pir^3
If d=5, then r=2.5,
Thus, we have 4/3(15.625)pi
20.83pi
The first choice is correct.
Hope this helps :)
Answer: num 1
Step-by-step explanation:
4/3*pi*r^3
4/3*pi*15.625
20.83*pi
hope i halped
can i get brainliest?(im trying to level up)
pls
-Zylynn
what is the square root of 0.49
Answer:
0.7
if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root
Hope this helps
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
0.49 = 49/100
√(49/100)
√49/√100
7/10
= 0.7
H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?
Answer:
15 units
Step-by-step explanation:
Given the equation which models the path of a stone as:
[tex]H(x)=-5x^2+10x+15[/tex]
At the time when the stone was thrown
x=0
Therefore:
[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]
The height of the stone at the time it is thrown is 15 units.
a shopkeeper bought 1000 glass tumblers at rs8 each. 100 glass tumblers were broken and he sold the rest at rs 10 each. find his gain or loss percent.
Answer:
Hello!
~~~~~~~~~~~~~~~~~`
Profit % = (Profit/C.P)*100
= (1000/8000)*100
= 12.5%
Step-by-step explanation:
Cp of 1000glass =8000
100were broken =8000-800=7200
now there were 900 glass tumblers left he sold at rs10 each =9000
there for sp is bigger than cp
P in rs =9000-8000=1000
Hope this helped you! Brainliest would nice..!
☆_________________❤︎________________☆
How might you describe the y values for this section of x values: -1
Answer:
Answer is below
Step-by-step explanation:
The y-values are all real numbers because they reach every possible y-value from -∞ to ∞ on the y-axis.