Answer:
perpendicular bisectors of each other
Step-by-step explanation:
For a quadrilateral to be rhombus the diagonals have to be perpendicular bisectors of each other.
__
The diagonals of a parallelogram bisect each other. When that parallelogram is a rhombus, the diagonals are perpendicular, hence mutual perpendicular bisectors.
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number
Answer:
33%
Step-by-step explanation:
The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction
The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.
The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.
So the probability of a card being a Jack given that it is a face card is:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.
Given that,
In a well-shuffled, standard 52 card deck,
We have to determine,
What is the probability that a card is a Queen, given that it is a black card?
According to the question,
There are 52 card decks,
Let, the card being a jack is A and the card being a face card is B,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}[/tex]
Then,
The probability of the card is a jack and a face card:
[tex]\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}[/tex]
All jacks are face cards.
And the probability of there being a face card is,
[tex]\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}[/tex]
There are 12 face cards in a deck.
Therefore,
The probability of a card being a jack given that it is a face card is,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\[/tex]
Convert the probability of a card being a jack given that it is a face card into a percentage,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent[/tex]
Hence, The probability of a card being a jack given that it is a face card is, 33%.
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I do not understand
Answer:
4/7
Step-by-step explanation:
there are 7 shapes in total, 4 of them are hexagons.
Krista drove 48 miles per hour for 8 hours. How far did krista drive
Answer:
She drove 384 miles, because 48 x 8 = 384! :)
Step-by-step explanation:
The distance driven by krista is 384 miles.
How to find the distance?If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Given;
speed = 48 miles per hour
time = 8 hours
Speed= distance/time
distance= speed x time
= 48 x 8
= 384 miles
Krista drove 384 miles of distance in 8 hours.
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Find the slope of the line
Answer:
3
Step-by-step explanation:
a metal plate, with constant density 5 g/cm^2, has a shape bounded by the curbe y = x^2 and the x-axis, with 0<= x <= 3 and the x, y in cm
a) find the total mass of the plate
mass =
b) sketch the plate. using your sketch, is x less than or greater than 3/2?
c) find x
x =
Answer:
a) 45 g
b) greater (make the graph youself on desmos or something)
c) 9/4
Step-by-step explanation:
area = integral 0 to 3 of x^2 dx = [1/3x^3] 0 to 3 = 9
mass = density * area = 5 * 9 = 45 grams
area = y*deltax = x^2*deltax
x = integral 0 to 3 of 5x^3 dx / mass = (405/4) / 45 = 9/4
Write a formula that will compute the final grade for the course, using G to represent the final grade, H to represent the homework average, Q to represent the quiz average, P to represent the project grade, T to represent the test average, and F to represent the final exam grade. Note: Keep in mind how you must write the percentages that show the weighting of each category when doing computations!
Answer:
To calculate final grade we use the formula:
Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).
This formula help us to calculate the grade we need to get.
Step-by-step explanation:
Solution:
Suppose grade breakdown for certain college course is as follow:
Homework = 15%
Quizzes = 20%
Project = 10%
Test = 40%
Final exam= 15%
Let G represent the final grade
H represents homework average,
Q represents quizzes and P represent project, T represent test average and F represent final exam.
To calculate final grade we use the formula:
Final grade = H( the weight of h) + Q( the weight of q) + P (the weight of project) +T (the weight of test) + F(the weight of final exams).
This formula help us to calculate the grade we need to get.
5/6+7/8 must be simplified
Answer:
Depending on what form you want it in:
Exact Form:
41/24
Decimal Form:
1.708 3
.. (3 is infinite)
Mixed Number Form:
1 17/24 (The 1 in front is supposed to be a whole)
Step-by-step explanation:
5/6 + 7/8
First, you must make both denominators equal a same number.
6 x _ = 8 x _
The same number but also the least is least common denominator is 24.
4 (5/6) + (7/8) 3
20/24 + 21/24
= 41/24
Simplify completely
(X^2+x-12/x^2-x-20)/(3x^2–24x+45/12x^2-48-60)
Answer:
(4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))
Step-by-step explanation:
Simplify the following:
(x^2 + x - x - 20 - 12/x^2)/((15 x^2)/4 + 3 x^2 - 24 x - 60 - 48)
Hint: | Put the fractions in x^2 + x - x - 20 - 12/x^2 over a common denominator.
Put each term in x^2 + x - x - 20 - 12/x^2 over the common denominator x^2: x^2 + x - x - 20 - 12/x^2 = x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2:
(x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | Combine x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 into a single fraction.
x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 = (x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2:
((x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | Group like terms in x^4 + x^3 - x^3 - 20 x^2 - 12.
Grouping like terms, x^4 + x^3 - x^3 - 20 x^2 - 12 = x^4 - 20 x^2 - 12 + (x^3 - x^3):
(x^4 - 20 x^2 - 12 + (x^3 - x^3))/(x^2 ((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48))
Hint: | Look for the difference of two identical terms.
x^3 - x^3 = 0:
((x^4 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)
Hint: | In (45 x^2)/12, the numbers 45 in the numerator and 12 in the denominator have gcd greater than one.
The gcd of 45 and 12 is 3, so (45 x^2)/12 = ((3×15) x^2)/(3×4) = 3/3×(15 x^2)/4 = (15 x^2)/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2/4 + 3 x^2 - 24 x - 60 - 48))
Hint: | Put the fractions in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over a common denominator.
Put each term in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over the common denominator 4: (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 = (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4)
Hint: | Combine (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 into a single fraction.
(15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 = (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4:
(x^4 - 20 x^2 - 12)/(x^2 (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4)
Hint: | Group like terms in 15 x^2 + 12 x^2 - 96 x - 240 - 192.
Grouping like terms, 15 x^2 + 12 x^2 - 96 x - 240 - 192 = (12 x^2 + 15 x^2) - 96 x + (-192 - 240):
(x^4 - 20 x^2 - 12)/(x^2 ((12 x^2 + 15 x^2) - 96 x + (-192 - 240))/4)
Hint: | Add like terms in 12 x^2 + 15 x^2.
12 x^2 + 15 x^2 = 27 x^2:
(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + (-192 - 240))/4)
Hint: | Evaluate -192 - 240.
-192 - 240 = -432:
(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + -432)/4)
Hint: | Factor out the greatest common divisor of the coefficients of 27 x^2 - 96 x - 432.
Factor 3 out of 27 x^2 - 96 x - 432:
(x^4 - 20 x^2 - 12)/(x^2 (3 (9 x^2 - 32 x - 144))/4)
Hint: | Write ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) as a single fraction.
Multiply the numerator by the reciprocal of the denominator, ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) = (x^4 - 20 x^2 - 12)/x^2×4/(3 (9 x^2 - 32 x - 144)):
Answer: (4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))
Im in 6th and im too lazy to do this so please tell me the answer to both!! Tysm!
Answer:
Question 1: Yes
Question 2: Ralph
Step-by-step explanation:
[tex]\frac{3}{4} +\frac{2}{3} +\frac{3}{4} = 2\frac{1}{6}[/tex]
[tex]10.38 < 10.6[/tex]
the table represents a linear function
X
-2
-1
0
1
2
Y
8
2
-4
-10
-16
What is the slope of the function
-6
-4
4
6
The solution is Option A.
The slope of the equation is given by slope m = -6
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
The values of x = { -2 , -1 , 0 , 1 , 2 }
The value of y = { 8 , 2 , -4 , -10 , -16 }
Now , let the first point be represented as P
The coordinates of P = P ( -2 , 8 )
Let the second point be represented as Q
The coordinates of Q = Q ( -1 , 2 )
Now , the slope of the line between the two points is
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 8 ) / ( -1 - ( - 2 )
On simplifying the equation , we get
Slope m = ( -6 ) / ( -1 + 2 )
Slope m = -6/1
Slope m = -6
Therefore , the value of m is m = -6
Hence , the slope of the line is m = -6
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Please help me with this
Need help with both
Answer: (a) = b, 49/64
Step-by-step explanation:
Nadya’s cell phone provider charges a monthly fee of $35 for usage up to 200 minutes. If she uses more than this in a month, she is charged $0.23 for each additional minute. Let c represent the cost of Nadya’s bill if she uses m minutes of air time. Write an expression that can be used to find c if she used more than 200 minutes last month.
Answer:
c = $35 + $0.23m
Step-by-step explanation:
The expression is c = $35 + $0.23m
c is the cost of nadya's bill
m is the additional minutes
so if she uses more than 200 minutes the cost of her bill wiil be
$35 plus $0.23 multiply by the number of extra minutes spent.
How to write Eight more than four times a number is -12 as an equation
Step-by-step explanation:
4x +8=-12 is the answer
8 less than 5 times a number
Answer:
5x - 8
Step-by-step explanation:
Unable to solve completely.
Answer:
8< 5x
Step-by-step explanation:
We know that the 8 is less than 5 times a number, so we first put 8 <.
From here, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.
Hope this helps! :)
(Side Note: If you're talking about inequalities this should work, if not then I'm sure others will post different answers.)
4. Julie saw 3 eagles each day she went bird-watching. How
many eagles did Julie see in 6 days?
9514 1404 393
Answer:
18 eagles
Step-by-step explanation:
Assuming Julie went bird-watching on each of those 6 days, she saw a total of ...
(3 eagles/day)(6 day) = 3·6 eagles = 18 eagles
The numbers 8, 1, −7, −12 are listed from greatest to least.
True or False
Answer:True
Step-by-step explanation:
I need help on 14- 25
Answer:
14. 24 20. 9
15. 26 21. -1
16. -4 22. 6
17. 2 23. 6
18. -7 24. 3x +5
19. 42 25. 9b^2 - 3b
What is the discriminant of the equation 3x^2-4=2x
Given equation : 3x² - 4 = 2x
We have to find discriminant of the equation [tex].[/tex]
⭆ 3x² - 4 = 2x
⭆ 3x² - 2x - 4 = 0
By comparing this equation with ax²+bx+c, we get
a = 3b = -2c = -4Discriminant (D) = b² - 4ac
⭆ D = (-2)² - 4(3)(-4)
⭆ D = 4 + 48
⭆ D = 52
Hope It Helps!f(x)=x^2+6x+8 in factored form
Answer:
Step-by-step explanation:
The quadratic factors into (x + 4)(x + 2) When you remove the brackets, you get
x^2
2x
4x
8
They are all added and the 2x and 4x combine to get 6x.
Answer:
F (x) = x^2 + 6x+8 = F = x + 6 + [tex]\frac{8}{x}[/tex]
Step-by-step explanation:
Move all the expressions to the left side of the equation.
F(x)−x2−6x−8=0
Multiply F by x.
Fx−x2−6x−8=0
Move all terms not containing F to the right side of the equation.
Fx=x2+6x+8
Divide each term by x and simplify.
F = x + 6 + [tex]\frac{8}{x}[/tex]
I hope this helps.
write two proper fractions whose denominators are not the same, but whose least common denominator is 12 pls google won't help
Answer:
3/4 and 2/3....different denominators.....common denominator is 12
Solve for the unknown quantity of x
15/2= 60/x
Answer:
Directions: Write the name and composition of the following composer/s below. Space provided for your answer.
Aiden needs 3.7 pounds of plaster for a project. He can choose from the 2 packages shown. Round the weight of each package of plaster to the nearest tenth.
Answer:
The answer is 3.8 and 2.5
Step-by-step explanation:
Lol
2 in every 7 students will need
glasses before they turn 15. If
there are 203 students in the
freshman class, how many will
need glasses before they turn 15?
Is 500% of less than 10, greater than 10 but less than 100, or greater than 100?
Answer: less
Step-by-step explanation:
If 100% of 10 is 10, we multiply 10 by 5 to get 500%.
10 x 5 = 50
500% of 10 will be equal to the number 50.
The answer is less.
What is the slope of the trend line drawn into the scatterplot?
A. 15/163
B. 11/109
C. 109/11
D. 163/15
Answer:
C.) 109/11
Step-by-step explanation:
because I am on the exam right now
i need help it is math
Answer:
they are all right next to eachother
this is all my 30 points please help
Find the surface area of the composite solid.
Answer:
221 I am sorry if I am wrong. I tried
Step-by-step explanation:
does anyone know this :/ ?
Answer:
angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)
so if angle 7 is 115° so are 6, 3, and 2
so the measure of angle 2 is 115°
Step-by-step explanation:
give the first person brainliest
What is the solution of 12(2z + 1) = 3(8z + 4)
Answer:
0
Step-by-step explanation:
24z + 12 = 24z + 12
0z = 0
0
Answer:
many solutions or infinite solutions
Step-by-step explanation:
12(2z + 1) = 3(8z + 4)
ok simplify it
24z + 12 = 24z + 12
there's many solutions no matter what you do you'll end out in this
In a recent survey of college-educated adults, 324 indicated that they regularly work more than 45 hours a week. If this represents 36% of those surveyed, how many people were in the survey
Answer:
900 people
Step-by-step explanation:
.36x=324
×=324÷.36
x=900
900 people were in the survey.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
324 indicated that they regularly work more than 45 hours a week.
and 36% of those surveyed.
let the total people surveyed be x
36% of x= 324
36 x/100 = 324
36 x = 32400
x= 32400 / 36
x= 900
Hence, total 900 people are surveyed.
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