Answer:
CHerry emoji
Step-by-step explanation:
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
Please help me no links!!
Answer:
Slope = 1
Y-intercept = 4
equation = 1x + 4
Hope this helps!
Can anyone help !! Please
Answer:
the first question is x=68/3 in standard from it is 3x=68
the second question is x= - 11/10
Step-by-step explanation:
for the second question the negative is beside the fraction.
Three coins are tossed. Let the event H = all Heads and the event K = at least one Heads. (match like 1-a, etc)
1. 7/8
2. 1/7
3. 1/8
a. The probability that the outcome is all heads if at least one coin shows a heads
b. P(K) =
c. P(H∩K) =
Given:
Three coins are tossed.
Let the event H represents all Heads and the event K represents at least one Heads.
To find:
a. The probability that the outcome is all heads if at least one coin shows a heads.
b. P(K) = ?
c. P(H∩K) = ?
Solution:
If three coins are tossed, then the total possible outcomes are:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Total outcomes = 8
Possible outcomes for all Heads = 1
Possible outcomes for at least one Heads = 7
Let the following events:
H = all Heads
K = at least one Heads.
Then,
[tex]H=\{HHH\}[/tex]
[tex]K=\{HHH, HHT, HTH, HTT, THH, THT, TTH\}[/tex]
[tex]H\cap K=\{HHH\}[/tex]
Now,
[tex]P(K)=\dfrac{7}{8}[/tex]
[tex]P(H\cap K)=\dfrac{1}{8}[/tex]
a. The probability that the outcome is all heads if at least one coin shows a heads is:
[tex]P(H|K)=\dfrac{P(H\cap K)}{P(K)}[/tex]
[tex]P(H|K)=\dfrac{\dfrac{1}{8}}{\dfrac{7}{8}}[/tex]
[tex]P(H|K)=\dfrac{1}{7}[/tex]
Therefore, the probability that the outcome is all heads if at least one coin shows a heads is [tex]\dfrac{1}{7}[/tex].
b. [tex]P(K)=\dfrac{7}{8}[/tex]
c. [tex]P(H\cap K)=\dfrac{1}{8}[/tex]
8x - (2x - 13) = 42
solve and check the equation
Answer:
x = 29/6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x - (2x - 13) = 42
Step 2: Solve for x
[Distributive Property] Distribute negative: 8x - 2x + 13 = 42[Subtraction] Combine like terms: 6x + 13 = 42[Subtraction Property of Equality] Subtract 13 on both sides: 6x = 29[Division Property of Equality] Divide 6 on both sides: x = 29/6Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 8(29/6) - [2(29/6) - 13] = 42Multiply: 116/3 - [29/3 - 13] = 42[Brackets] Subtract: 116/3 - -10/3 = 42Subtract: 42 = 42Here we see 42 does indeed equal 42.
∴ x = 29/6 is the solution.
Answer:
x = 29/6
Step-by-step explanation:
solve for x.
8x - ( 2x - 13 ) = 42
distribute minus sign
8x - 2x + 13 = 42
combine like terms
6x + 13 = 42
subtract 13 from both sides
6x + 13 - 13 = 42 - 13
6x = 29
Divide each side by 6
6x / 6 = 29 / 6
x = 29 / 6
Check the equation :
8x - ( 2x - 13 ) = 42
substitute the value of x in equation
8 ( 29/6) - ( 2(29/6) - 13) = 42
reduce the number with the greatest common factor 2
4 × 29 /3 - ( (29/3) - 13) = 42
calculate the product
116/3 - ( 29/3 - 13 )= 42
calculate the difference
116/3 -( -10/3 )= 42
change the sign
116/3 + 10/3 = 42
add the fractions to get 42.
42 = 42
Hence, verified.
If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .
v = u + at
=> 35 = u + (4×5)
=> 35 = u + 20
=> 35 - 20 = u
=> 15 = u
Step-by-step explanation:
v = u + a t
35=u+ 4(5)
35-20=u
u=15
If the total surface area of hemispher is 7392 square cm. Them find its radius.
Answer: The radius of the hemisphere is (R) = 28 cm
Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3
Answer:
El 5 y el 3
Step-by-step explanation:
La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.
La tercera es 0, no es positivo ni negativo
La cuarta y quinta es positivo
The square ABCD is divided into eight equal parts. The shaded area is 25 cm². What is the area of the square ABCD
Answer:
I think the answer is 200cm^2
Step-by-step explanation:
since the square is divided into eight equal parts
and one shaded part is =25cm^2
multiply the area of the shaded part by the number of equal parts
= 25cm^2 ×8
= 200cm^2
An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a yellow on your next toss of the die
Answer:
[tex]P(Yellow) = \frac{29}{147}[/tex]
Step-by-step explanation:
Given
[tex]Brown = 27\\Purple = 47\\Yellow = 29\\Green = 44[/tex]
Required
[tex]P(Yellow)[/tex] --- next roll to be yellow
This is calculated as:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{29}{27 + 47 + 29 + 44}[/tex]
[tex]P(Yellow) = \frac{29}{147}[/tex]
help me plz
this is very important for me
Step-by-step explanation:
A line with the specific numbers plotted on it, numerical order
Answer:
1- Put the letter A on positive 7
2- Put the letter B on positive 5
3- Put the letter C on 0
4- Put the letter D on negative 4
5- Put the letter E on negative 9
What is the mode and the median?
1.2.6.6.7.8.9.9
Cual es la moda y la mediana
Use mapping notation to describe a translation up 8 units.
A. (x,y) → (x 8, y-8)
B. (x,y) → (x,y+8)
C. (x,y) = (x+8, y+8)
D. (x,y) → (x+8, y)
Need help pls. Kind of struggling to get an answer
Answer:
c. 216 m squared
do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps
Eyjafjallajökull is a volcano in Iceland. Ina research reuption a projectile is ejected with an initial velcony of 304 feet per second. The height H, in feet is given the equation H=16t^2 + 304t
Answer:
t = 9.5 seconds
Step-by-step explanation:
Given that,
The initial velocity of the projectile is 304 ft/s
The height of the projectile is given by :
[tex]H=16t^2 + 304t[/tex]
For maximum height,
Put h' = 0
[tex]h'=-32t+304[/tex]
or
[tex]-32t+304=0\\\\t=\dfrac{304}{32}\\\\t=9.5 \ s[/tex]
So, the time taken to reach the maximum height is 9.5 seconds.
Below is a frequency distribution for our RCCC sample of men's heights.
Class Class Frequency Midpoint (inches)
64-65 4
66-67 4
68-69 4
70-71 5
72-73 10
74-75 4
a. Fill in the midpoint of each class in the column provided.
b. Enter the midpoints in L, and the frequencies in L2, and use 1- VarStats to calculate the mean and standard deviation of the frequency distribution. Using the frequency distribution, I found the mean height to be ___________with a standard deviation of____________
c. Now, let's compare the mean of the frequency distribution you just found in part (b), which is an estimate of the actual sample mean, to the actual sample mean you found in (#1).
Using the frequency distribution in (a), I found the mean height to be___________ inches, while using the actual data in #1, I found the mean height to be___________ inches. The true sample mean (using all the data) and the sample mean estimated from a frequency distribution can be fairly close to each other or very different. In this case, do you think the two means were close___________ Using complete sentences, explain why you think the two means came out so close, or why they came out so different, whichever the case may be.
Answer:
[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { 64.5} & {64-65} & {4} & {66.5 } & {66-67} & {4} & {68.5 } & {68-69} & {4} &{70.5 } & {70-71} & {5} & {72.5 } & {72-73} & {10} & {74.5 } & {74-75} & {4}\ \end{array}[/tex]
Using the frequency distribution, I found the mean height to be 70.1129 with a standard deviation of 3.2831
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { } & {64-65} & {4} & { } & {66-67} & {4} & { } & {68-69} & {4} &{ } & {70-71} & {5} & { } & {72-73} & {10} & { } & {74-75} & {4}\ \end{array}[/tex]
Solving (a): Fill the midpoint of each class.
Midpoint (M) is calculated as:
[tex]M = \frac{1}{2}(Lower + Upper)[/tex]
Where
[tex]Lower \to[/tex] Lower class interval
[tex]Upper \to[/tex] Upper class interval
So, we have:
Class 64-65:
[tex]M = \frac{1}{2}(64 + 65) = 64.5[/tex]
Class 66 - 67:
[tex]M = \frac{1}{2}(66 + 67) = 66.5[/tex]
When the computation is completed, the frequency distribution will be:
[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { 64.5} & {64-65} & {4} & {66.5 } & {66-67} & {4} & {68.5 } & {68-69} & {4} &{70.5 } & {70-71} & {5} & {72.5 } & {72-73} & {10} & {74.5 } & {74-75} & {4}\ \end{array}[/tex]
Solving (b): Mean and standard deviation using 1-VarStats
Using 1-VarStats, the solution is:
[tex]\bar x = 70.1129[/tex]
[tex]\sigma = 3.2831[/tex]
See attachment for result of 1-VarStats
Solving (c): Compare the calculated mean to the actual mean
The actual mean is missing from the question, so I will make assumptions in this part
Assume they are close
This means that the selected sample is a reflection of the actual population where the samples are selected.
Assume they are not close
This means that the selected sample does not reflect the actual population where the samples are selected.
An aeroplane takes 4 hours to travel a distance of 440 0km. Another aeroplane travels at a speed which is 100km per hour less than the first aeroplane. How long will take the second aeroplane to travel he same distance as the first?
Answer:
7480 hours
Step-by-step explanation:
440 - 100 = 340
LCM of 440 and 340
440 = 2 × 2 × 2 × 5 × 11
340 = 2 × 2 × 5 × 17
LCM = 2 × 2 × 2 × 5 × 11 × 17
LCM = 7480
What is the value of cos C?
Answer:
15/17
Step-by-step explanation:
cos=opp/adj
cos C=15/17
In parallelogram DEFG if m FGD=125 find m GDE
9514 1404 393
Answer:
55°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
m∠GDE = 180° -m∠FGD = 180° -125°
m∠GDE = 55°
What is the slope of the line that contains the points in the table?
A. -6
B. 2
C.-3
D. 3
Answer:
-3
Step-by-step explanation:
change in y over the change in x
pick to points and use slope formula
9-3
0-2
that's 6/-2 = -3
What is the area of this figure?
Answer:
286 mm ^2
Step-by-step explanation:
The figure is a trapezoid
The area of a trapezoid is given by
A = 1/2 ( b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 28+24) * 11
A = 1/2 (52)*11
A =286 mm ^2
Answer:
The area of this figure is 286
Step-by-step explanation:
The formula for the area of a trapezoid is A = (a+b/2)h, or the top line plus the bottom line divided by 2 times the height. a is given as 24 mm and b is given as 28 mm so 24 plus 28 is 52. 52 divided by 2 is 26. 26 times 11 is 286 therefore the answer and area is 286.
Find the value of x.
Answer:
9 sqrt(2) /2 = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = x /9
9 sin 45 = x
9 sqrt(2) /2 = x
Anna needed to let everyone in the music club know the time of its next meeting. She called two people and asked each of them to call two other people, and so on. if it takes one minute to call two people, how many phone calls were made during the fifth minute?
Answer:
62
Step-by-step explanation:
In one minute Anna called 2 people
the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above
I'm not too sure but I tried my best.
Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.
9514 1404 393
Answer:
x = {-0.6, 1.8}
Step-by-step explanation:
Adding 33 we have ...
4x^2 -5x = 4
Dividing by 4, we get ...
x^2 -5/4x = 1
We can complete the square by adding the square of half the x-coefficient:
x^2 -5/4x +25/64 = 89/64
(x -5/8)^2 = 89/64
x = (5 ±√89)/8 = {-0.5542, 1.8042}
The solution rounded to the nearest tenth is ...
x = {-0.6, 1.8}
Three more than the product of six and a number, increased by nine in the simplest form
Answer: 12+6x
Step-by-step explanation:
three more means addition +3
the product of 6 and a number means multiplying 6 by a variable 6x
increased by 9 means addition +9
put it together and we have 3+6x+9
now we combine like terms
3+9+6x
12+6x
change the following into mixed fraction 19/6
Answer:
6 1/6
Step-by-step explanation:
Divide the numerator (19) by the denominator (6)
Write down the whole number result which in this case would be 3
Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number. which in this case is 1/6
therefore the answer is 6 1/6
A 640-ounce bag of dog food contains 75 equal-sized portions. How big will each portion be? Use compatible numbers to solve. A. Between 7 and 8 ounces B. Between 8 and 9 ounces C. Between 9 and 10 ounces D. Between 10 and 11 ounces
Answer:
B
Step-by-step explanation:
If you do 640/75 that equals 8.5333 etc. That is between 8 and 9!
Hope that helps!
The table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is mail and attended an action movie? Round your answer to two decimal places.
Answer:
the answer is d trust me 0.22
Step-by-step explanation:
Now go to diagonals of parallelograms. You'll see two line segments, and marked with their midpoints, E and F. Verify that E and F divide the line segments equally by measuring and recording the length of the four line segments that you see.
Answer:
AE=4
EC=4
BF=2.24
FD=2.24
Step-by-step explanation:
here we go honey
Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.91 with a standard deviation of $0.13. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
We have a mean of $3.91 and a standard deviation of $0.13.
Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17?
3.65 = 3.91 - 2*0.13
4.17 = 3.91 + 2*0.13
Within 2 standard deviations of the mean, so, by the Chebyshev's Theorem, the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
