Answer:
Seems to be some missing numbers in the question
Step-by-step explanation:
There are two dog runs at the pet store. The first one is ??? feet long and the second one is ??? feet long. The owner of the store wants to increase the length of the first one by ??? feet. She wants to increase the length of the second one by ??? feet. (a) After the lengths of the dog runs are increased, what is the length of the longer dog run? Explain how you found your answer.
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]
Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes.
Which equation represents the given problem situation?
c+(c + 2) = 12, where c is the number of dimes
c+2c= 12, where c is the number of dimes
C+(c+ 2) = 12, where c is the number of nickels
c+2c =12, where c is the number of nickels
Answer:
c + (C+2) = 12
Step-by-step explanation:
Assume C is the no of dimes
So there are C+2 no of nickels
Guven that C + (C+ 2) = 12
Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 40 bacteria. (a) What is the size of the population after 15 hours
1.26×10⁹ as a Ordinary Number
Answer:
1,260,000,000
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
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]
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
Please help! 35 points
Answer:
10.A
11.A
12.A
Step-by-step explanation:
thank me later
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:
Need help solving this problem
Answer:
46-22= 24
Therefore, the answer is ;
A.24
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%.
Answer to the question
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
What's the inverse of ƒ(x) = 3x3 – 4?
Answer:
Step-by-step explanation:
y = 3x³ -4
the inverse is found by changing x with y and y with x than solve for y
x = 3y³ -4
x+4 = 3y³-4+4; add 4 to both sides
x+4 = 3y³
(x+4)/3 =y³ ;divide both sides by 3
∛((x+4)/3) = y ;cube root both sides
the inverse function of f(x) =3x³-4 is
[tex]f(x)^{-1} =\sqrt[3]{\frac{x+4}{3} }[/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
HELPPP WHICH KNE DO I PICKK LEASE I NEED TO FO THIS JOW
Answer:
first and third option are correct.
Step-by-step explanation:
6(x+3)
=6*x + 6*3
=6x + 18
Will give brailiest to first
Answer:
A)
[tex]f(x)=x^(2)-2x+3[/tex]
Step-by-step explanation:
Answer:
option a
pls give brainliest
Step-by-step explanation:
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}
This is Algebra btw.
For the functions defined above, fill in the table of values.
Explain how we can find the solution to the system of equations using the table.
Given equations;
y₁ = 3x - 8 -------------------(i)
y₂ = 0.5x + 7 --------------------(ii)
To fill the table, substitute the values of x into equations (i) and (ii)
=> At x = 0
y₁ = 3(0) - 8 = -8
y₂ = 0.5(0) + 7 = 7
=> At x = 1
y₁ = 3(1) - 8 = -5
y₂ = 0.5(1) + 7 = 7.5
=> At x = 2
y₁ = 3(2) - 8 = -2
y₂ = 0.5(2) + 7 = 8
=> At x = 3
y₁ = 3(3) - 8 = 1
y₂ = 0.5(3) + 7 = 8.5
=> At x = 4
y₁ = 3(4) - 8 = 4
y₂ = 0.5(4) + 7 = 9
=> At x = 5
y₁ = 3(5) - 8 = 7
y₂ = 0.5(5) + 7 = 9.5
=> At x = 6
y₁ = 3(6) - 8 = 10
y₂ = 0.5(6) + 7 = 10
=> At x = 7
y₁ = 3(7) - 8 = 13
y₂ = 0.5(7) + 7 = 10.5
=> At x = 8
y₁ = 3(8) - 8 = 16
y₂ = 0.5(8) + 7 = 11
=> At x = 9
y₁ = 3(9) - 8 = 19
y₂ = 0.5(9) + 7 = 11.5
=> At x = 10
y₁ = 3(10) - 8 = 22
y₂ = 0.5(10) + 7 = 12
The complete table is attached to this response.
(ii) To find the solution of the system of equations using the table, we find the value of x for which y₁ and y₂ are the same.
As shown in the table, that value of x = 6. At this value of x, the values of y₁ and y₂ are both 10.
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.
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.
3. Antoinette is building a rectangular pen with 78 feet of fencing. If the length of the pen is 5
feet longer than its width, what are the dimensions of the pen?
Width
Length
NUMBER 3
Answer:
length = 22
Width = 17
Step-by-step explanation:
78 = 2(w+5) + 2(w)
78 = 2w + 10 + 2w
78 = 4w + 10
68 = 4w
w = 17
l = 17 + 5 = 22
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
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
Can someone please simplify this??
Answer:
0
Step-by-step explanation:
=>sec A cosec A - tan A - cot A
=>(1/sinAcosA)-(sinA/cosA)-(cosA/sinA)
You get the LCM as sinAcosA then it becomes
=>(1-sin^2(A)-cos^2(A)) /sinAcosA [1-sin^2(A)=cos^2(A)]
=>(cos^2(A)-cos^2(A))/sinAcosA
=>0/sinAcosA
=>0
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
The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=2[/tex]
[tex]-3+a=2\times 2[/tex]
[tex]a=4+3[/tex]
[tex]a=7[/tex]
And,
[tex]\dfrac{3+b}{2}=0[/tex]
[tex]3+b=0[/tex]
[tex]3+b-3=0-3[/tex]
[tex]b=-3[/tex]
Therefore, the coordinates of point B are (7,-3).
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!
What is the mode and the median?
1.2.6.6.7.8.9.9
Cual es la moda y la mediana
Solve this system of linear equations. Separat
the x- and y-values with a comma.
9x - 10y = -34
3x - 4y = -16
Answer:
[tex]9x - 10y = - 34 - - - (a) \\ 3x - 4y = - 16 - - - (b) \\ (a) - 3 \times (b) : \\ 0x + 2y = 14 \\ y = 7 \\ 3x - (4 \times 7) = - 16 \\ 3x = 12 \\ x = 4[/tex]
answer: ( 4, 7 )
Hi there!
»»————- ★ ————-««
I believe your answer is:
(4,7)
»»————- ★ ————-««
Here’s why:
I have graphed the system on a program. The two lines intercept at the point (4,7). This means that it is the solution to the system. See the graph attached.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Is 4 a factor of x^3-6x^2+8x-12 ? Explain how you arrived at your answer. plz help<3
Answer:
No
Step-by-step explanation:
The coefficents of x³ and x² are 1 and -6 respectively
neither has a factor of 4
