Answer:
The possible arrangement= 18 ways
Step-by-step explanation:
Six identical coin are tossed.
Coin has only a tail and a head.
In how many possible ways can the arrangement be 3 head and 3 tail.
The possible arrangement= (3! * 3!)/2
The reason for dividing by two because coin has two face.
The possible arrangement= (3! * 3!)/2
The possible arrangement=( 6*6)/2
The possible arrangement= 36/2
The possible arrangement= 18 ways
0.25 multiplied by 15 = ?
What is ?
Answer:
Your correct answer is 3.75
Step-by-step explanation:
0.25 x 15 = 3.75
Answer:
3.75
Step-by-step explanation:
You can do this many ways. Write a table that looks like this:
0.25
15
--------
Ignore all decimal points. Multiply the 5's together and carry the 2 to the next column. Multiply 2 x 5 + 2, write the second digit (which is 2) and carry the 1. Multiply 0 by 5 + 1 = 1, so your top number should be 125. Then, multiply all the numbers by the 1. 5 x 1 = 5; 2 x 1 = 2; 0 x 1 = 0. We now have something that looks like:
0.25
15
--------
1 2 5
0 2 5
Add these numbers together and add the decimal point 2 numbers from the right, since that's what was in the original decimal.
1 2 5
0 2 5
---------------
3.75
The measure of < A is 45 degree
We are given [tex]\triangle ABC \cong \triangle EFG[/tex]
The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure
angle A = angle E
3x+20 = 5x-80
3x-5x = -80-20
-2x = -100
x = -100/(-2)
x = 50
Use this x value to find the measure of angle A
angle A = 3x+20
angle A = 3(50)+20
angle A = 150+20
angle A = 170 degrees
Therefore, the statement "the measure of angle A is 45 degrees" is false.Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y=x^{3 / 2}, \ y=8, \ x=0y=x 3/2, y=8, x=0
Answer:
The volume of the solid using shell method is V= π(284/7)
Step by step Explanation:
Shell method is a method device to calculate the volume of a solid of revolution.
From the question, we were given
y=x³/₂
y=8,
x=0
then f(x)=8-x³/₂
The volume we were told to find , using the shell formula can be calculated using below formula
V=2π∫xf(x)dx
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
A college dining hall took a survey of 260 students on their favorite meals. one fifth of students selected macaroni and cheese as their favorite and 15% selected breakfast as their favorite answer. How many students chose a food other than the two above?
a. 52
b. 65
c. 91
d.169
Answer:
d. 169
Step-by-step explanation:
1/5 * ( 260) = 52
0.15 ( 260)= 39
out of 260 students 39 + 52 = 91 students chose a food / meal
the rest are 260 - 91 = 169 students chose a food other than the two
Dertemine the direction that this parábola opens: y=-x^2-2x-5 (up or down)
Answer:
down
Step-by-step explanation:
x is negative
The number of mold cells doubles every 12 minutes. At this moment, there are x mold cells present on a piece of bread. Which of the following represents the number of mold cells present one hour from now?
Answer:
Step-by-step explanation:
Suppose that at time [tex]t_0[/tex] we have x mold cells. We are told that after 12 minutes the amount present is double. That is a [tex]t= t_0+12[/tex] we have 2x cells. Then, at [tex]t = t_0+24[/tex] we have (2x)*2 = 4x. We can continue as follows
[tex]t: t_0+36[/tex] we have (4x)*2 = 8x.
[tex]t: t_0+48[/tex] we have (8x)*2 = 16x
[tex]t: t_0+60[/tex] (one hour later) we have (16x)*2 = 32x.
So after one hour from now we have 32x cells.
The no. of mold cells one hour from now will be 32[tex]x[/tex].
Given,
The number of mold cells doubles every 12 minutes.
Let at time [tex]t[/tex] we have x mold cells.
So, after 12 minutes, the no of molds at[tex],t_{12} =t+12[/tex] the no. of mold will be[tex]2x.[/tex]
After further 12 minutes at, [tex]t_{24} =t+24[/tex], the no. of mould will be [tex]4x[/tex].
After further 12 minutes at, [tex]t_{36} =t+36[/tex], the no. of mold will be [tex]8x[/tex].
After further 12 minutes at, [tex]t_{48} =t+48[/tex], the no. of mold will be [tex]16x.[/tex]
After further 12 minutes at, [tex]t_{60} =t+60[/tex], the no. of mold will be [tex]32x[/tex].
Hence the no. of mold cells one hour from now will be 32[tex]x[/tex].
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Answer the following question by entering the numeric value with appropriate units. If the length of one side of a square is 12.0 mm, what is the perimeter of the square? Express the perimeter with the appropriate units.
Answer:
48.0 mm
Step-by-step explanation:
A square has 4 equal sides. If one side is 12.0 mm the ll 4 sides are the same. so you can just multiply 12*4 and get 48.0 mm. That would be the answer. The second way to solve it is to add 12 .0 mm 4 times and you would get 48.0 mm.
The vector x is in a subspace H with a basis Bequals{Bold b 1,Bold b 2}. Find the B-coordinate vector of x. Bold b 1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 3 EndMatrix ], Bold b 2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 4 2nd Row 1st Column negative 7 3rd Row 1st Column 11 EndMatrix ], xequals[Start 3 By 1 Matrix 1st Row 1st Column negative 10 2nd Row 1st Column negative 17 3rd Row 1st Column 27 EndMatrix ]
Answer and Step-by-step explanation: To find the B-coordinate vector of x:
[tex]b_{1} = \left[\begin{array}{ccc}1\\2\\-3\end{array}\right][/tex] , [tex]b_{2} = \left[\begin{array}{ccc}-4\\-7\\11\end{array}\right][/tex], x = [tex]\left[\begin{array}{ccc}-10\\-17\\27\end{array}\right][/tex]
The augmented matrix will be:
[tex]\left[\begin{array}{ccc}1&-4&-10\\2&-7&-17\\-3&11&27\end{array}\right][/tex]
Transforming into reduced row-echelon form:
= [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&-1&-3\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}1&-4&-10\\0&1&3\\0&0&0\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}1&0&2\\0&1&3\\0&0&0\end{array}\right][/tex]
The values for the vector will be:
x = 2
y = 3
The B-coordinate vector is of the form:
V = [tex]\left[\begin{array}{ccc}x\\y\end{array}\right][/tex]
V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]
The B-coordinate vector of x is V = [tex]\left[\begin{array}{ccc}2\\3\end{array}\right][/tex]
The radius of circle C is 7 cm. ∠BCA (the non shaded region) has a measure of 1.36 radians. Find the length of arc BEA. Show your setup and your work for full credit. Round your answer to two decimal places.
Answer: 9.52cm
Step-by-step explanation:
The data we have is:
Radius = 7cm
Angle of the arc = 1.36 rads
Now, the perimeter of a full circle is equal to:
P = 2*pi*r
Where 2*pi = 6.28 rads
Then the length of an arc of angle A is
P = A*r
then in our case:
P = 1.36*7cm = 9.52cm
Find the reciprocal of 5/6, b≠0
Answer:
6/5
Step-by-step explanation:
The reciprocal of 5/6 means flip it
6/5
Answer:
6/5
Step-by-step explanation:
The reciprocal of a fraction is switching the numerator with denominator.
5/6 ⇒ 6/5
which basic geometric figure is labeled as cd
Answer:
a geometric figure labeled CD would be a segment
Step-by-step explanation: you need to attached the pictures with the question
Please answer this correctly without making mistakes
Answer:
2 km
Step-by-step explanation:
Since we know that the TOTAL distance from Kensington to Greenville is 4.3 km, and we also that the distance from Kensington to Springfield is 2.3 km, we can subtract these values to find the distance from Springfield to Greenville.
[tex]4.3-2.3=2[/tex]
I hope this helped!
Answer:
Simple math, different numbers.
Step-by-step explanation:
Take the total distance, 4.3
And subtract it from the given segment of the road.
4.3 - 2.3 = 2.0
So the distance between Springfield and Greenville is 2 kilometers.
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. The carpet is sold in square yards. How many square yards of carpet will you need?
Answer:
yards of carpet you need: 4*10/3=40/3=13.3333 yd^2
Step-by-step explanation:
convert feet to yard:
1 yard=3 feet so
12 feet=4 yards
10 feet=10/3 yard=3.33333 yard
yards of carpet you need: 4*10/3=40/3=13.3333 yd^2
a store specializing in mountain bikes is to open in one of two malls if the first mall is selected the store anticipates a yearly profit of $825,000 if successful a yearly loss of 275,000 otherwise the probability of success is 1/2 if the second mall is selected it is an estimated that the yearly profit will be 550,000 if successful otherwise the annual loss will be 165,000 the probability of success at the second mall is three Force
Complete question :
a store specializing in mountain bikes is to open in one of two malls if the first mall is selected the store anticipates a yearly profit of $825,000 if successful a yearly loss of 275,000 otherwise the probability of success is 1/2 if the second mall is selected it is an estimated that the yearly profit will be 550,000 if successful otherwise the annual loss will be 165,000 the probability of success at the second mall is three Fourth (3/4).
What is the expected profit of thesecond mall?
Answer:
$453,750
Step-by-step explanation:
Given the following :
First mall:
Profit if successful = $825,000
Loss if otherwise = $275000
Probability of success = 1/2
Second mall:
Profit if successful = $550,000
Loss if otherwise = $165,000
Probability of success = 3/4
Expected profit of second mall:
If probability of profit ' P(profit)' = 3/4
Then,
Probability of loss P(loss) = 1 - P(profit)
P(loss) = 1 - 3/4 = 1/4
Expected profit:
[P(profit) * profit] + [P(loss) * loss])
(0.75 * $550,000) + (0.25 * (-$165,000))
$412,500 - $41,250 = $453,750
A newspaper reported that 4040% of people say that some coffee shops are overpriced. The source of this information was a telephone survey of 5050 adults. a. Identify the population of interest in this study. b. Identify the sample for the study. c. Identify the parameter of interest in the study. d. Find and interpret a 9595% confidence interval for the parameter of interest.
Answer:
a. Identify the population of interest in this study.
all the population of the countryb. Identify the sample for the study.
50 adults (the ones that were surveyed)c. Identify the parameter of interest in the study.
the parameter of interest is the people that believe that coffee shops are overpricedd. Find and interpret a 95% confidence interval for the parameter of interest.
z score for a 95% confidence level = 1.96
margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579
95% confidence level interval:
0.4 - 0.13579 = 0.26421
0.4 + 0.13579 = 0.53579
95% confidence interval (0.26421 , 0.53579)
Please help me. The function g(x) is a transformation of f(x). If g(x) has a y-intercept at 3, which of the following functions could represent g(x)?
The graph shows f(x) to have a y intercept at -1, which is where the diagonal line crosses the y axis. We want the y intercept to move to 3. So we must add 4 to the old y intercept to get the new y intercept.
We do this with every single point on f(x) to get g(x) = f(x)+4. This shifts the graph up 4 units.
6th grade math, help me please
Answer:
1. 2/5
Step-by-step explanation:
When it says the ratio is 5 to 2, that means 5 is always first:
5 : 2 is correct
5/2 is correct
10 : 4 is correct (multiplied 2 on both sides)
2/5 is incorrect because 2 is first. That means that this ratio would be 2 to 5, not 5 to 2.
Answer:
2/5
Step-by-step explanation:
because you are not supposed to flip the two numbers. You need to keep them in the same order.
Sorry, if this isn't the greatest answer. Its my first time.
Which expression is equivalent to 6 cubed? 6 times 3 6 times 6 times 6 6 times 6 times 6 times 6 3 times 3 times 3 times 3 times 3 times 3
The expression that is equivalent to 6 cubed is: 6 times 6 times 6.
This is true since cubed indicates that the base number is multiplied by itself 3 times.
So, 6^3 equates to 6 x 6 x 6.
Answer:
The expression that is equivalent to 6 cubed is: 6 times 6 times 6.
This is true since cubed indicates that the base number is multiplied by itself 3 times.
So, 6^3 equates to 6 x 6 x 6.
Step-by-step explanation:
Suppose that the value of a stock varies each day from $9.82 to $24.17 with a uniform distribution.
Find the upper quartile; 25% of all days the stock is above what value? (Enter your answer to the nearest
cent.)
Answer:
The upper quartile is 20.5825
Step-by-step explanation:
In order to find the upper quartile we would have to use the following formula:
According to the given data:
value of a stock varies each day from $9.82 to $24.17
Hence, Q=upper quartile,
Therefore, ($24.17 - Q)/($24.17 - $9.82) = 25%
($24.17 - Q)/$14.35=25%
$24.17 - Q=3.5875
Q=20.5825
The upper quartile is 20.5825
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 249 cubic units.
What is the height of the cylinder?
O2 units
4 units
O 6 units
O 8 units
Answer:
h = 6 unitsStep-by-step explanation:
Volume of a cylinder = πr²h
where r is the radius
h is the height
The height of a right cylinder is 3 times the radius of the base is written as
h = 3r
Volume = 249cubic units
So we have
249 = π r²(3r)
249 = π3r³
Divide both sides by 3π
r³ = 249/3π
r = 2
h = 3(2)
h = 6 units
Hope this helps you
Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is the smallest data value. C. The mean does not represent the center because it is the largest data value. D. The mean does not represent the center because it is not a data value. E. There is no mean age.
Answer:
A. The mean represents the center.
A. The median represents the center.
B. The mode does not represent the center because it is the smallest data value.
Step-by-step explanation:
Mean
(9 + 9 + 12 + 12 + 9 + 8 + 8 + 8 + 10 + 8 + 8 + 8 + 11)/13 = 120/13 = 9.2
The mean 9.2 and it represents the center of data.
Median
By arranging the set of data, the median, the median is the center number
8,8,8,8,8,8,(9),9,9,10,11,12,12
The median is 9 and it represents the center of data.
Mode
The mode is the number that appears most in the set of data.
The number that appears most in the set of data is 8 and does not represent the set of data.
Given the data set, 9, 9, 12, 12, 9, 8, 8, 8, 10, 8, 8, 8,11:
the mean is: 9.2the median is: 9the mode is: 8A. The mean does represents the center of the data set
Given the following data set:
9, 9, 12, 12, 9, 8, 8, 8, 10, 8, 8, 8, 11
Let's find the mean, median, and mode.
Mean of the data set:
Mean = sum of all values / number of values
Mean = [tex]\frac{9 + 9 + 12 + 12 + 9 + 8 + 8 + 8 + 10 + 8 + 8 + 8 + 11}{13}[/tex]
Mean = [tex]\frac{120}{13} = 9.2[/tex]
Median of the data set:
Order the data from the least to the greatest then find the middle value.
Thus:8, 8, 8, 8, 8, 8, (9,) 9, 9, 10, 11, 12, 12
The middle value is 9.
The median = 9Mode of the data set:
The mode = the data value that appears most
8 appeared the most, therefore, the mode = 8
If you observe, you will note that the mean and median of the data set are similar. We can as well conclude that the mean represents the center of the data set.
In summary, given the data set, 9, 9, 12, 12, 9, 8, 8, 8, 10, 8, 8, 8,11:
the mean is: 9.2the median is: 9the mode is: 8A. The mean does represents the center of the data set
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In the diagram below, AB is parallel to CD. What is the value of X?
A. 60
В. 100
C.120
D. 80
Simplify 12/ |-4| x3 + |5|
Answer: 14
Step-by-step explanation:
12/4 times 3 +5
= 3 times 3 + 5
= 9 + 5
= 14
Which option is the correct option, quick please!
Answer:
168°Option A is the correct option
Step-by-step explanation:
Since, we know that angle at center is double that of the circumference.
JL = 2 × 84°
calculate the product
= 168°
Hope this helps..
Best regards!!
Answer:
Option A is the correct answer.
Step-by-step explanation:
By the incribed angle theorem, we have
1/2of angle JKL.
so, JL = 84°×2
Therefore, the answer is 168°.
Hope it helps..
how many terms are in the expression 6y+3+y+4y+5
Answer:
5
Step-by-step explanation:
The 5 terms in the expression are ...
6y
3
y
4y
5
__
If like terms were combined, the expression could be reduced to one with 2 terms:
11y +8
Answer:
5 terms
Step-by-step explanation:
In an expression, a term can be a number, a variable, or a number and variable multiplied together. Terms are separated by addition or subtraction.
In the expression:
6y+3+y+4y+5
There are 5 terms. The 5 terms are:
1. 6y
2. 3
3. y
4. 4y
5. 5
We can simplify this expression by combining like terms. We can add the constants (just numbers) and the terms with variables being multiplied by numbers.
6y+3+y+4y+5
(6y+y+4y)+(3+5)
11y+(3+5)
11y+8
WHY CAN'T ANYONE HELP ME? :( Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $106. Two adults and three children must pay $75. Find the price of the adult's ticket and the price of a child's ticket.
Answer:
Children: $13
Adults: $18
Step-by-step explanation:
Well for both sets we can set up the following system of equations,
[tex]\left \{ {{3a + 4c = 106} \atop {2a + 3c = 75}} \right.[/tex]
So first we need to solve for a in the first equation.
3a + 4c = 106
-4c to both sides
3a = -4c + 106
Divide 3 by both sides
a = -4/3c + 35 1/3
Now we plug in that a for a in 2a + 3c = 75.
2(-4/3c + 35 1/3) + 3c = 75
-8/3c + 70 2/3 + 3c = 75
Combine like terms
1/3c + 70 2/3 = 75
-70 2/3 to both sides
1/3c = 4 1/3
Divide 1/3 to both sides
c = 13
Now we can plug in 13 for c in 3a + 4c = 106,
3a + 4(13) = 106
3a + 52 = 106
-52 to both sides
3a = 54
Divide 3 by both sides.
a = 18
Thus,
an adult ticket is $18 and a children's ticket is $13.
Hope this helps :)
Answer:
Adults pay $18 and children pay $13.5
Step-by-step explanation:
Hello!
You need to calculate the price of the tickets for adults and children for the group trip to New York.
If X represents adult and Y represents children, then you can express the given information as two equations with two unknown values:
Three adults and four children must pay $106. ⇒ 3X + 4Y= $106
Two adults and three children must pay $75. ⇒ 2X + 3Y= $75
I) First step, in one of the equations you have to clear one of the unknown values, I'll clear the value of Y:
3X + 4Y= 106
4Y= 106 - 3X
[tex]Y= \frac{106-3X}{4}[/tex]
II) Second step you have to replace it in the second equation:
2X + 3Y= 75
[tex]2X + 3(\frac{106-3X}{4} )= 75[/tex]
[tex]2X + \frac{3}{4}(106-3X)= 75[/tex]
[tex]2X + (\frac{3}{4}*106 - \frac{3}{4}*3X )= 75[/tex]
[tex]2X + 79.5 -\frac{9}{4}X =75[/tex]
[tex]2X - \frac{9}{4}X= 75 - 79.5[/tex]
[tex]-\frac{1}{4} X= -\frac{9}{2}[/tex]
[tex]X= -\frac{9}{2} * -4= 18[/tex]
The price for adult tickets is $18.
III) Third step, using the calculated value of X, you replace it on the formula obtained in I) yo calculate the price for the children Y:
[tex]Y= \frac{106-3X}{4}= \frac{106-(3*18)}{4} = \frac{27}{2}= 13.5[/tex]
The ticket price for children is $13.5
I hope this helps!
Which of the following has four, eight and one nine??
A.88889
B.4819
C.888819
D.489
Answer:
D. 489
Step-by-step explanation:
489 has the number,
four - 4
eight - 8
and ONE nine - 9
Hope this helps :)
You are out with friends. Half of you want to go bowling and the other half want to go to a movie. How will you make a fair decision about wether to go to a movie or go bowling using a fair coin and assuming that all of you want to go to either of the places together?
Answer:
A fair coin because at the end of the day it will be fun no matter where you guys go
Step-by-step explanation:
There were 3 adults and 9 children on the bus. What was the ratio of adults to children? Enter your answer in reduced form. (add explanation please!) (70 points!!!!!)
Answer:
1/3
Step-by-step explanation:
Ratios are basically comparisons of multiple numbers that shows their quantity relationship with each other. If we want to find the ratio of x to y, then the ratio is written as x : y or x/y.
Here, we want the ratio of adults to children. There are 3 adults and 9 children, so we have:
adults / children = 3 / 9 = 1/3
The answer is thus 1/3.
~ an aesthetics lover
Answer:
1:3
Step-by-step explanation:
The ratios of two terms is written as x:y.
3 ⇒ adults
9 ⇒ children
The ratio of adults to children:
3:9
Simplify the ratio.
1:3
How many ten-digit numbers have at least two equal digits?
Please explain!
Between 1,000,000,000 and 9,999,999,999 there are 9,000,000,000 different ten-digit numbers. Of those, 9*9! (9 times 9 factorial) = 3,265,920 have all ten digits different, i.e., no two equal digits. Take the difference of those two numbers, and you will have your answer.
--------------------
Hope this helps!
Brainliest would be great!
--------------------
With all care,
07x12!