Answer:
504/8=63/6=10.5
10 rooms per floor with 3 leftover
3x^2 - 4x + 2 = 0
how many solutions does the equation above have?
Margot surveyed a random sample of 180 people from the United States about their favorite sports to watch. Then she sent separate, similar, survey to a random sample of 180 people from the United Kingdom. Here are the results:
Favorite sport to watch United States United kingdom Total
Basketball 60 51 111
Football 67 14 81
Soccer 28 86 114
Tennis 25 29 54
Total 180 180 360
Margot wants to perform a x^2 test of homogeneity on these results. What is the expected count for the cell corresponding to people from the United Kingdom whose favorite sports to watch is tennis?
Answer:
27
Step-by-step explanation:
The expected count in a χ² test can be obtained thus :
Expected count for each each point in a two way table ::
(row total * column total) / total
Therefore, expected count for cell corresponding to people from United Kingdom whose favorite sport is tennis :
Row total = (51+14+86+29) = 180
Column total = (25 + 29) = 54
Total = 360
Hence,
Expected count = (180 * 54) / 360
Expected count = 27
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
Learn more about rhombus on:
https://brainly.com/question/20627264
3. Find the measure of the exterior angle in the diagram below.
Answer:
the value of x is 29° which is b
Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be sure the players were hydrated. When nearby construction forced a water shut off, Steve went to the Star Market to purchase bottles of water. He needed a total of 80 liters of water. Star Market sold water in two liter bottles and in half liter bottles. What possible combinations of the small and large bottles might he purchase in order to bring 80 liters to the football team?
a. Write an equation that models the possible combinations of half liter bottles and two liter bottles that would total 80 liters. (Be sure to define the variables.)
b. What is the x-intercept and what does it represent?
c. What is the y-intercept and what does it represent?
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Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
__
b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
62x+2.63x = 1
Solve
EN
Step-by-step explanation:
answer is in photo above
Answer:
-2/5
Step-by-step explanation:
I need help badly please with number 2 ...help me .. please no links or I will report you
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Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Pls help ASAP!!!!!!!!!!! I NEED HELP IMMEDIATELY!!!
Jaime had ten posters, but only five could fit on his closet door. How many different ways can he arrange the five posters out of the ten on his closet door?
A. 252
B. 648
C. 6,048
D. 30,240
Answer:
its c
Step-by-step explanation:
Yevgenia walks 8 x 2/3 miles every week which fraction represents the number of miles that Yevgenia walks each
Answer:
16/3
Step-by-step explanation:
When multiplyin fractions by whole numbers, you can make the whole number a fraction by simply making the denominator 1, than you will multiply numerators by numerators and denominators by denominators, therefore
8 x 2 = 16
1 x 3 = 3
16/3
Simplify:{x(6x - 1
A)
B)
2x-1
9
2x
x-
2x7.5
D
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {D. \:= 2 {x}^{2} - \frac{1}{3} x}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
[tex] \frac{1}{3} x \: ( \: 6x - 1 \: )\\[/tex]
[tex] = \frac{x \: ( \: 6x - 1 \: )}{3}\\[/tex]
[tex] = \frac{6 {x}^{2} - x}{3} \\[/tex]
[tex] = \frac{6 {x}^{2} }{3} - \frac{x}{3}\\ [/tex]
[tex] = 2 {x}^{2} - \frac{1}{3} x\\[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
What is the value of z in the equation 3z+9=z?
6 +7 ( □ +7 5) = 1
help me pls
Answer:
Can't be possible.
Step-by-step explanation:
Given:
6+7(x+75)=1
So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.
You have one each of $0.05, $0.10, $0.25, $1.00 and $2.00 coins in your wallet. How many different sums of money could you form by reaching into your wallet and pulling out some coins?
Answer:
The correct answer is - 26 sums for pulling few coins.
Step-by-step explanation:
Given:
coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)
Different sums of money = ?
Formula: Different combination of items can be calculated with the help of a formula of combination that is -
nCr = n! / ((n – r)! r!)
where, n = total number of items
r = number of item in a set
solution:
In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.
a. for set of 2 coins
= 5! / ((5 – 2)! 2!)
= 20/2
= 10 combination of sums
b. for the set of 3 coins
= 5! / ((5 – 3)! 3!)
= 10
C. for 4
= 5! / ((5 – 4)! !)
= 5
d. for 5 coins
only 1 sum
thus, the total types of different sums = 10+10+5+1
= 26.
Find the solution set of the inequality
\qquad8x - 8 \leq -72.8x−8≤−72.
Step-by-step explanation:
- 8 is the ans .hope this help you. mark me as brainliest
factorize for me
y + 3y + 2-sin2x=0
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
I need big help on this one
What is the area of the parallelogram shown?
Answer:
Area = 96 square m
Step-by-step explanation:
[tex]Area = base \times height = 12 \times 8 = 96 \ m^2[/tex]
Answer:
The area of parallelogram is 96 m ².
Step-by-step explanation:
According to the question , we have given a parallelogram with base 12 m and height is 8 m. We need to find the area of parallelogram.
Solution :-Using Formula
Area of parallelogram = Base × Height
Substitute the values into this formula
Area of parallelogram = 12 m × 8 m
multiply, we get
Area of parallelogram = 96 m²
Therefore, The area of parallelogram is 96 m ².
What is the awnsers helppppp
Answer: 0.77
Step-by-step explanation:
Answer:
0.23
Step-by-step explanation:
the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.
given a group of six students consisting of four female and two male how many different three member committee can be chosen from this group probability question
Given:
Total number of students = 6
Number of female students = 4
Number of male students = 2
To find:
Total number of outcomes if 3 students are chosen at random (Should i find the probability of something?)
Steps:
To find the total number of outcomes, we need to list the outcomes
Outcomes = {M,M,F} , {M,F,F} , {F,F,F}
Therefore, the total number of outcomes if 3 students are chosen at random is 3, if we don't consider order.
Could you elaborate the question a bit more if i made a mistake of what to find.
Someone please help I have 40 mins for this test !
Answer:
It would be Linear
Step-by-step explanation:
Answer:
i think its quadratic because the graph isnt straight and has different slopes between the x,y.
Step-by-step explanation:
SOMEONE HELP ME PLEASE
Answer:
The missing value is 5/2
Step-by-step explanation:
I was wondering if someone could answer this :)
Answer:
17
Step-by-step explanation:
2a+30 = 4a-4
+4 +4
2a+34 = 4a
-2a -2a
34 = 2a
÷2 ÷2
a=17
Hope this helps! :)
Answer:
A = 17
Step-by-step explanation:
Opposite angles are congruent in a parallelogram
Hence 2a + 30 = 4a - 4
( Note that we've just created an equation that we can use to solve for a)
We now solve for a
2a + 30 = 4a - 4
Add 4 to both sides
2a + 34 = 4a
Subtract 2a from both sides
34 = 2a
Divide both sides by 2
a = 17
A store manager timed Janette
Answer:
more information please.
Step-by-step explanation:
find the value of x. what is the relationship of these 2 angles? set up and solve an equation
As it is right angled, thus it will be equal to 90.
= 2x + 5 + x + 25 = 90
= 3x + 30 = 90
= 3x = 60
= x = 60/3
= x = 20
Answer:
x = 20°
Step-by-step explanation:
[tex]2x + 5 + x + 25 = 90 \\ 3x + 30 = 90 \\ 3x = 90 - 30 \\ 3x = 60 \\ x = \frac{60}{3} \\ x = 20 \\ [/tex]
In △CDE, DE=14, CE=9, and m∠E=71∘. What is the length of CD⎯⎯⎯⎯⎯⎯? Enter your answer, rounded to the nearest hundredth, in the box.
Answer:
13.96units
Step-by-step explanation:
To get the length of CD, we will use the cosine rule as shown:
CD² = DE²+CE²-2(DE)(CE)cos m<E
Substitute the given values
CD² = 14²+9²-2(14)(9)cos71
CD² = 196 + 81 - 252cos71
CD² =277 - 252cos71
CD² = 277 - 82.0431
CD² = 194.95682
CD = √194.95682
CD = 13.96 units
Hence the length of CD of 13.96units
solve the system of equations y=x-7 y=x^2-9x+18
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Answer:
(x, y) = (5, -2)
Step-by-step explanation:
Equating expressions for y, we have ...
x^2 -9x +18 = x -7
x^2 -10x +25 = 0 . . . . . add 7-x to both sides
(x -5)^2 = 0 . . . . . . . . factor
The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...
y = x -7 = 5 -7 = -2
The solution is (x, y) = (5, -2).
Help with this Geometry question please
Answer:
Angle A = [tex]77^{o}[/tex]
Step-by-step explanation:
cos A = adjacent / hypotenuse
cos A = 18/82
cos A = 0.22
A = [tex]cos ^{-1}[/tex]0.22
A = [tex]77^{o}[/tex]
Please help me with this question
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Answer:
D(1, 2)
Step-by-step explanation:
The ordered pair is always (x-coordinate, y-coordinate).
The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.
The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.
The ordered pair describing the location of D is ...
(x-coordinate, y-coordinate) = (1, 2)
Find the value of X
Answer:
100°
Step-by-step explanation:
the lower right angle is 180-149 = 31°
the sum of all three angles in a triangle is 180°.
so the solution is 180-31-49
SEE ATTACHED IMAGE, THANK YOU!
Answer:
a)
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value is 0.75
Step-by-step explanation:
Ok, we know that out of 8 cameras, 3 are defective.
So first let's find the probability for a camera randomly selected to be defective.
This is just the quotient between the number of defective cameras and the total number of cameras.
p = 3/8
then the probability that a camera is not defective is:
q = 5/8.
Ok, now we draw 2 cameras at random from the box.
We can define X as the number of defective cameras in these two drawn, we can have 3 possible values of X.
X = 0 (neither of the cameras is defective)
X = 1 (one of the cameras is defective)
X = 2 (both of the cameras is defective).
Let's find the probabilities for each case.
X = 0.
In this case, we first draw a non-defective camera, with a probability of:
P = 5/8.
The second camera drawn must be also non-defective, but now there are 4 non-defective cameras in the box and a total of 7 cameras (because one was already drawn).
Then the probability now is:
Q = 4/7
The joint probability is the product of the two individual probabilities:
P[0] = P*Q = (5/8)*(4/7) = (5/14)
X = 1
Here we have two cases:
the first is defective and the second is non-defective
the first is non-defective and the second is defective
So we just have a factor of 2, to consider both cases
Assuming the first case
Probability of drawing first a defective camera is equal to the quotient between the number of defective cameras and the total number of cameras:
P = 3/8
For the second draw we want to get a non-defective camera, here the probability is equal to the number of non-defective cameras remaining (5) and the total number of cameras (7, because we drawn one)
Q = 5/7
The joint probability, taking in account the permutation, is
P[1] = 2*P*Q = 2*(3/8)*(5/7) = (15/28)
finally, for X = 2
This is the case where we draw two defective cameras, we can use a similar approach as the one used in the first case:
For the first camera:
P = 3/8
For the second camera:
Q = 2/7
Joint probability:
P[2] = (3/8)*(2/7) = 3/28
then we have the table:
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value for an event that has the outcomes:
{x₁, x₂, ..., xₙ}
Each one with the correspondent probability
{p₁, p₂, ..., pₙ}
is defined as:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Then in our case, the expected value is just:
EV = 0*P[0] + 1*P[1] + 2*P[2]
EV = 0 + 15/28 + 2*3/28
EV = (15 + 6)/28 = 21/28 = 0.75
