In a dice, there is a six side
Probability of occurring a score = 1/18
= 1*2/18*2
= 2/36
= preferred outcome/ Total outcome
Only 5 is a number that has occurred twice
The score that has a probability of occurring of 1/18 is 5.
The two dice having different values 30/36 = 5/6 (because the probability of the two dice having equal values is 6/36 = 1/6.)
The probability of the second dice being less than the first dice is the same as the probability of the first dice is less than the second dice: (5/6) / 2 = 5/12.
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Write an equation to represent this scenerio
You are about to take a major assessment, and each question is one two types. Multiple-choice questions are worth 2 points each, and short-response questions are worth 4 points each. The assessment is worth 100 total points. Let x represent the number of multiple-choice questions, and let y represent the number of short-response questions.
The equation to represent this scenario is 2x+4y = 100
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
The worth of x number of multiple-choice questions = 2x
The worth of y number of short-response questions = 4y
Assessment is worth 100 total points.
So, the equation to represent this scenario is 2x+4y = 100
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An airplane can level 1,500 miles in 4.5 hours at a constant speed how long will it take the airplane to travel 200 miles
Answer: 0.6 hours
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{1,500\; \;miles}{4.5\;\;hours} =\frac{200\;\;miles}{x\;\;hours}[/tex]
Next, we will cross-multiply and solve by multiplying and using inverse operations.
1,500 * x = 200 * 4.5
1,500x = 900
x = 0.6 hours
a girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec(the height stays constant). how fast she let out the string when 500 ft of string has been let out?
The 20 ft/sec is the timing of the string when 500 ft of string has been let out for the kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec.
Let dd be the real distance among the kite and the female, vv be the vertical distance among the female and the kite, and hh horizontal distance. Since the vertical distance is a constant (v = 300v=300) we understand that:
v^2 + h^2 = d^2 quad Rightarrow quad 300^2 + h^2 = d^2v 2 +h 2 =d 2 ⇒300 2 +h 2 =d 2
wherein dd and hh are capabilities of time tt, this means that that:
2hdfrac = 2ddfrac2h dtdh =2d dtdd
Since the vertical distance is v=300v=300, and the real distance is d = 500d=500, we understand that:
300^2 + h^2 = 500^2 quad h = sqrt = 400300 2 +h 2 =500 2 ⇒h= 500 2 −300 2 =four hundred
We're inquisitive about the price of extrade of the real distance dd so we have:
begin color dfrac &= dfrac cdot h cdot dfrac = dfrac cdot four hundred cdot 25 = color 20 text enddtdd = d1 ⋅h⋅ dtdh = 5001 ⋅four hundred⋅25=20 ft/sec
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WHAT IS a^4 + b^4
Urgent!
The solution to the expression a⁴ + b⁴ is 641 when a = 2 and b = 5
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
a = 2
b = 5
Also, from the question, we have
a^4 + b^4
Express the exponents in the above expression properly
So, we have the following representation
a⁴ + b⁴
Substitute the known values in the above equation, so, we have the following representation
a⁴ + b⁴ = 2⁴ + 5⁴
Evaluate the exponents
'This gives
a⁴ + b⁴ = 16 +625
Evaluate the sum
'This gives
a⁴ + b⁴ = 641
Hence, the solution is 641
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Complete question
Given that a = 2 and b = 5
WHAT IS a^4 + b^4
Solve for x. Round to the nearest tenth.
X
21 27
The value of x for the given figure will be equal to √212.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Apply the Pythagorean theorem for the first triangle,
H² = x² - 6²
Apply the Pythagorean theorem for the second triangle,
B² = 27² - x²
Apply the Pythagorean theorem to the third triangle,
H² = 27² - x² - 21²
H² = -x² + 288
x² - 6² = -x² + 288
2x² = 424
x² = 212
x=√212
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a dog of this breed weighs 52 pounds. what is the dog's z-score? round your answer to the nearest hundredth as needed. z
The z score of a dog of this breed weighs 52 pounds is 0.571. The weight of the dog if z is -0.35 is 45.55 kg. The weight of the dog if z is 0.35 is 50.45 kg.
A z score refers to a numerical measurement that defines a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
The z score is given by:
z = (x - µ)/σ
where x is the raw score, µ is the mean, and σ is the standard deviation.
In the given case,
x = 52 pounds
µ = 48 pounds
σ = 7 pounds
Hence,
z = (52 - 48)/7 = 0.571
If z = -0.35
Then
-0.35 = (x - 48)/7
x - 48 = -2.45
x = 45.55 kg
Hence, the weight of the dog if z is -0.35 is 45.55 kg.
If z = 0.35
Then
0.35 = (x - 48)/7
x - 48 = 2.45
x = 50.45 kg
Hence, the weight of the dog if z is 0.35 is 50.45 kg.
Note: The question is incomplete. The complete question probably is: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 7 pounds. A dog of this breed weighs 52 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of -0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of 0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds
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The coordinates of points a and b are a(2, 16) and b(22, 4). what are the coordinates of the point that is 34 of the way from a to b?
The coordinates of the point is (17, 7)
How to determine the coordinates of the point?From the question, we have the following parameters that can be used in our computation:
Point A = (2, 16)
Point B = (22, 4)
Ratio = 3/4
The ratio can be expressed as
m : n = 3 : 1
The coordinates of the point can be calculated as
Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)
Substitute the known values in the above equation, so, we have the following representation
Point = 1/(3 + 1) * (3 * 22 + 1 * 2, 3 * 4 + 1 * 16)
So, we have
Point = 1/4* (68, 28)
So, we have
Point = (17, 7)
Hence, the point is (17, 7)
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34×3333333 and then the answer n×454 = x
[tex]34\times3333333=n[/tex]
[tex]34\times3333333=113333322(n)[/tex]
[tex]n\times454=x[/tex]
[tex]113333322(n)\times454=x[/tex]
[tex]113333322(n)\times454=51453328188(x)[/tex]
[tex]\fbox{x = 51453328188}[/tex]
What is the eighth value in the sequence 768, 384, 192, 96, ...?
Answer:
6
Step-by-step explanation:
Examine this sequence. What are the relations of these values?
Every time you increase 1 term in the sequence, divide by 2.
768/2 = 384
384/2 = 192
etc.
Write a geometric sequence formula.
[tex]a_n = a*r^(^n^-^1^)[/tex]
A is the starting value (768), and r is the common ratio, or what the value is being multiplied by to get the next term. N is the term, where you can plug it in. For the eighth value, plug in 8 for n.
768 * ? = 384
1/2
r = 1/2
[tex]a_n = 768 * 1/2^(^n^-^1^)[/tex]
For finding the eighth value, plug in 8 for n.'
[tex]768 * 1/2^(^8^-^1^)[/tex]
[tex]768 * 1/2^7[/tex]
768 * 0.0078125
6
WILL GIVE BRAINLIST AND EXTRA POINTS TO BEST ANSWER PLEASE HLEP
7. Melanie bought some pizza for $2.50 per pound and hot dogs for $1.50 per pound. She spent a total of $30. Use the graph below to sketch all the possible combinations of pizza, p, and hot dogs, h, Melanie could have bought?
The solutions for the number of pizzas p and hot dogs h is
a) A ( p , h ) = A ( 0 , 20 )
b) B ( p , h ) = B ( 3 , 15 )
c) C ( p , h ) = C ( 6 , 10 )
d) D ( p , h ) = D ( 9 , 5 )
e) E ( p, h ) = E ( 12 , 0 )
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the number of pizza be = p
Let the number of hot dog = h
The cost of one pizza be = $ 2.50
The cost of one hot dog = $ 1.50
Now , the total amount with Melanie = $ 30
So , the equation will be
2.50p + 1.50h = 30
On simplifying the equation , we get
2.5p + 1.5h = 30 be equation (1)
Multiply equation (1) by 10 , we get
25p + 15h = 300
Now , the values of p and h which will satisfy the equation is
a)
Let p = 0 , h = 20
The equation is 25p + 15h = 300
Substitute the value of p and h , we get
25 ( 0 ) + 15 ( 20 ) = 300
300 = 300
So , the point A ( 0 , 20 ) satisfies the equation
b)
Let p = 3 , h = 15
The equation is 25p + 15h = 300
Substitute the value of p and h , we get
25 ( 3 ) + 15 ( 15 ) = 300
75 + 225 = 300
300 = 300
So , the point B ( 3 , 15 ) satisfies the equation
c)
Let p = 6 , h = 10
The equation is 25p + 15h = 300
Substitute the value of p and h , we get
25 ( 6 ) + 15 ( 10 ) = 300
150 + 150 = 300
300 = 300
So , the point C ( 6 , 15 ) satisfies the equation
d)
Let p = 9 , h = 5
The equation is 25p + 15h = 300
Substitute the value of p and h , we get
25 ( 9 ) + 15 ( 5 ) = 300
225 + 75 = 300
300 = 300
So , the point D ( 9 , 5 ) satisfies the equation
e)
Let p = 12 , h = 0
The equation is 25p + 15h = 300
Substitute the value of p and h , we get
25 ( 12 ) + 15 ( 0 ) = 300
300 = 300
So , the point E ( 12 , 0 ) satisfies the equation
Hence , The solutions for the number of pizzas p and hot dogs h is
a) A ( p , h ) = A ( 0 , 20 )
b) B ( p , h ) = B ( 3 , 15 )
c) C ( p , h ) = C ( 6 , 10 )
d) D ( p , h ) = D ( 9 , 5 )
e) E ( p, h ) = E ( 12 , 0 )
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Tree integers are such that their GCD and LCM are 6 and 1080 respectively.If the first two numbers are 60 and 72, find the number
Answer:
The three integers are 30, 180, and 540.
Step-by-step explanation:
The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without a remainder. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.
In this case, we are given that the GCD and LCM of three integers are 6 and 1080, respectively. This means that the three integers must have a GCD of 6 and an LCM of 1080.
We are also given that the first two numbers are 60 and 72. The GCD of 60 and 72 is 12, which is not equal to 6. Therefore, these two numbers cannot be the first two integers.
To find the three integers, we need to find two numbers with a GCD of 6 and an LCM of 1080. One possible pair of numbers is 30 and 180, which have a GCD of 6 and an LCM of 180.
The third number must be a multiple of 6 and a factor of 1080. A possible value for the third number is 540, which is a multiple of 6 and a factor of 1080.
The three integers are 30, 180, and 540.
Which of these points is closest to the point (7,1)?
A
(4,1)
B
(7,-1)
C.
(7,4)
D
(11,1)
Answer:
B (7,-1)
Step-by-step explanation:
(7,-1) is 2 points away from (7,1).
(4,1) and (7,4) are both 3 points away. (11,1) is 4 points away.
That makes B (7,-1) the closest to (7,1)
Find the measure of <1
A. 30 degree
B. 122 degree
C. 92 degree
D. 58 degree
Help!!!
(Picture is provided)
Answer: D. 58 degree
Step-by-step explanation:
A triangle has a total of 180 degrees
92 + 30 = 122 degree
180 - 122 = 58 degree
So, the answer is D. 58 degree
Which of the following statements is true? (a) Recursion is always better than iteration (b) Recursion uses more memory compared to iteration (c) Recursion uses less memory compared to iteration (d) Iteration is always better and simpler than recursion
Recursion uses more memory compared to iteration because every time the recursive function is called the function call is stored in stack, The correct option is B
What is Recursion?Recursion is the process of defining a problem or the solution to a problem in terms of a simpler version of itself. There two types of recursion the first one is called direct recursion when the second is called indirect recursion.
Therefore recursion is a method of solving problem where the solution depends on solutions to smaller instances of the same problem.
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find the equation of a parabola whose vertex (0,0) axis yaxis ; passes through A(-1,1)
The equation of a parabola with vertex at (0, 0) and axis of symmetry along the y-axis is of the form y = ax^2. The parabola passes through the point (-1, 1), so we can set up the following equation:
y = a * x^2
1 = a * (-1)^2
Solving for a, we get a = 1. Therefore, the equation of the parabola is y = x^2.
Parallel and perpendicular through points
The equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x - y = 5 is 5y + x = -14.
What is a line?An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.
Given:
Point (6,-4),
2x - y = 5,
Calculate the slope as the line is perpendicular to line 2x - y = 5
m = 2
The slope of the line perpendicular, m = - 1 / 5
Calculate the equation of the line as shown below,
[tex]y - (-4) = - 1 / 5 (x - 6)[/tex]
5 (y + 4) = -x + 6
5y + 20 = -x + 6
5y + x = -14
Therefore, the equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x - y = 5 is 5y + x = -14.
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The complete question is:
What is an equation of the line that passes through the point (6,-4) and is perpendicular to the line 2x - y = 5?
2x+4=12 Y=4x+12
Solve using substitution
Answer:
X=4 Y=28
Step-by-step explanation:
We have our two equations, 2x+4=12 and Y=4x+12
Solve for x of one of the equations so that the repeating (common) variable can be cancelled out.
Using 2x+4=12, we can solve for the x-value and replace it back into y.
2x+4=12
2x=8
x=4
We can replace our new x-value into the other equation, y=4x+12
y=4(4)+12
y=16+12
y=28
So x=4, and y=28
Which equation shows the proportional relationship in the table
Which of the following are equivalent fractions?
2 / 3 , 4/6
Answer: 1/2
Step-by-step explanation:
:D
need help asap! 100 points
also the option for "This interpretation ___ in the context of the problem."
is "Makes sense" and "Does Not Make sense"
and for "Based on the observations above, it is clear that an appropriate domain for the function is ______"
is: all real numbers
non negative real numbers
real numbers in a a
whole numbers (0,1,2,....)
positive integers (0,1,2,3,....)
integers in a
What is the function?
The function in this problem is defined as follows:
f(x) = 6x - 1.
Giving how many points a player is awarded when a dice of x is rolled.
The possible values at which the dice can land is up:
1,2,3,4,5,6.
Then the numeric values of the function are calculated replacing x by their values.
The only inputs that make sense are 1,2,3,4,5,6, as they are the values at which the dice can land. For example, a dice cannot land on neither 5.5 nor 10.
Missing Information
The function in this problem is defined as follows:
f(x) = 6x - 1.
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what is 15x165 divided by 14
Answer: 176.79
Step-by-step explanation:
15 (165) / 14
15 times 165 = 2475
2475 / 14 = 176.785
Round up to 176.79
Jack and Anjali each improved their yards by planting hostas and geraniums. They bought their supplies from the same nursery. Jack spent $138 on 6 hostas and 6 geraniums. Anjali spent $116 on 6 hostas and 4 geraniums. Find the cost of one geranium
Answer:
11$
Step-by-step explanation:
We will use simultaneous equation
X = hostas
Y = geraniums
6X + 6Y = 138 ----> (first equation)
6X + 4Y = 116 -----> (second equation)
(Substract)
6X + 6Y = 138
6X + 4Y = 116
2Y = 22
Y = 22/2
Y = 11$
I hope my answer helps you.
Are the following compound statements are logically equivalent P ∧ Q ∨ Q and P ∨ Q?
Answer:
Step-by-step explanation:
This has some significance in logic because if two propositions have the same truth table they are in a logical sense equal to each other – and we say that they are logically equivalent. So: ¬p∨(p∧q)≡p→q, or "Not p or (p and q) is equivalent to if p then q."
...
Logically Equivalent Statements.
p q p→q
F F T
What is the absolute value of the integer -(-22)?(It is -(-22), not -22).
Answer:
22
Step-by-step explanation:
Knowledge Needed
| | (absolute value) = Makes anything inside positive after solving.
A negative number multiplied or divided by another negative number is positive.
Question
Set up the equation
| -(-22) |
| 22 |
Stays positive.
22
You buy the following from Best Buy:
1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20
What is the Subtotal: $
You use your Elite Members Best Buy credit card to save 6%, how much do you save: $
What is the new Subtotal: $
Sales tax is 5%: $
What is the total: $
t
Answer:
You buy the following from Best Buy:
1 new Chromebook for $550, 1 wireless mouse for $20, 1 wireless keyboard for $20
What is the Subtotal:
$550 + $20 + $20 = $590$590You use your Elite Members Best Buy credit card to save 6%, how much do you save:
$590 * 0.06 = $35.4$35.4What is the new Subtotal: $
$590 - $35.4 = $554.6$554.6Sales tax is 5%: $
$554.6 * 0.05 = $27.73$27.73What is the total: $
$554.6 + $27.73 = $582.33$582.33Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-How to figure out the unit rate of 4/5 cup of lime juice for every 2 cups of yogurt what is the rate in cups of lime juice per cup of yogurt
Answer:
i think the answer is 2/5
Step-by-step explanation:
The function g is defined by g(x)= 5/x −bx^2+1, where b is a constant. Find b, if the graph of g passes through the point (−2,10).
Answer:
b = -2.875
Step-by-step explanation:
You want the value of b such that (-2, 10) is a point on the graph of g(x)= 5/x −bx²+1.
UnknownFill in the given values and solve for b.
g(-2) = 10
5/(-2) -b(-2)² +1 = 10
-2.5 -4b +1 = 10
-4b = 11.5
b = -11.5/4
b = -2.875
In 2015, a salesman was paid a basic monthly salary of rs 28 000. At the end of the year, he was also paid a bonus of 7 % of the value of the sales that he had made during the year. His total income for that year was Rs 441 000. Calculate the value of the sales that he made that year
Answer:
1,500,000
Step-by-step explanation:
Let's assume the value of sales that the salesman made during the year to be x.
The bonus that he received at the end of the year is 7% of the value of the sales he made. So, his bonus would be 0.07x.
Therefore, his total income for the year is his basic monthly salary plus the bonus he received. We know that his total income was Rs 441,000. Hence, we can write:
28,000 * 12 + 0.07x = 441,000
Simplifying this equation:
336,000 + 0.07x = 441,000
0.07x = 105,000
x = 1,500,000
Therefore, the value of the sales that the salesman made during the year was Rs 1,500,000.
let x as the total sales
441 000 = 12(28 000) + 0.07x
441 000 = 336 000 + 0.07x
441 000 - 336 000 = 336 000 - 336 000 + 0.07x
105 000 = .07x
x = 1 500 000
CHECKING:
12 * 28 000 = 336 000 (12 months salary)
0.07(1 500 000) = 105 000 (total sales)
336 000 + 105 000 = 441 000
Therefore, salesman total sales for the whole year is RS 1 500 000.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-V-(j+y)=61y+82
solve for y
The value of expression in terms of y is y = (v-j-82)/62
What is expression?Numbers, symbols and operators (such as and times) grouped together that show the value of something.
Given that an expression v-(j+y)=61y+82
Solving for y,
v-(j+y)=61y+82
v-j-y = 61y+82
v-j-82 = 61y+y
v-j=92 = 62y
y = (v-j-82)/62
Hence, The value of expression in terms of y is y = (v-j-82)/62
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solve the given initial-value problem. the de is homogeneous. xy2 dy dx = y3 − x3, y(1) = 2
Answer: The differential equations is
y3 3x3logx = 8x3.
Step-by-step explanation:
break the given original- value problem. The DE is homogeneous. xy2dy/ dx = y3- x3; y( 1) = 2.
result
Given a homogenous discriminational equation, xy2 dy/ dx = y3- x3
xy2dy/ dx = y3- x3
dy/ dx = ( y3- x3)/ xy2
dy/ dx = (( y/ x) 3- 1)/( y2/ x2)---( 1)
Put y/ x = v ⇒ y = xv
separatew.r.t x
dy/ dx = x.dv/ dx v
Equation( 1) becomes,
⇒ dv/ dx v = ( v3- 1)/ v2
⇒ dv/ dx = (( v3- 1)/ v2)- v
⇒ dv/ dx = ( v3- 1- v3)/ v2
v2. dv = -1/x.dx
Integrate on both sides, we get
∫ v2. dv = ∫- 1/x.dx
v3/ 3 = - logx C
1/3( y3/ x3)) log x = C( 2)
Now, given that y( 1) = 2
Substituting y = 2 and x = 1 in equation( 2)
(1/3) ×(23/13)) log 1 = C
C = 8/3
From equation( 2), we get
⇒( y3/ 3x3) logx = 8/3
thus, the needed differential equation is y3 3x3logx = 8x3.
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