Answer:
$1850 per month
Step-by-step explanation
There are two types of chocolates that can be produced milk chocolate and strawberry covered chocolate. To find the profit we make following equation,
P = $2.25 SC + $2.50 WC
where SC is strawberry chocolate and WC is White milk chocolate.
The maximum production level can be 800 boxes per month and white chocolates can not exceed the 200 boxes per month so we assume making 600 boxes of Strawberry covered chocolates and 200 boxes of white chocolates.
Profit = 2.25 * 600 + 2.50 * 200
Profit = $1850
This is the maximum profit that can be earned after making combination of two types of chocolates.
replace each star with a digit to make the problem true.Is there only one answer to each problem? ****-***=2
Answer: We have two solutions:
1000 - 998 = 2
1001 - 999 = 2
Step-by-step explanation:
So we have the problem:
****-*** = 2
where each star is a different digit, so in this case, we have a 4 digit number minus a 3 digit number, and the difference is 2.
we know that if we have a number like 99*, we can add a number between 1 and 9 and we will have a 4-digit as a result:
So we could write this as:
1000 - 998 = 2
now, if we add one to each number, the difference will be the same, and the number of digits in each number will remain equal:
1000 - 998 + 1 - 1 = 2
(1000 + 1) - (998 + 1) = 2
1001 - 999 = 2
now, there is a trivial case where we can find other solutions where the digits can be zero, like:
0004 - 0002 = 2
But this is trivial, so we can ignore this case.
Then we have two different solutions.
two cards are drawn without replacement from a standard deck of 52 playing cards. what is the probability of choosing a diamond and then without replacement another diamond? express your answer as a fraction or decimal number rounded to four decimal places.
Answer:
1/17
Step-by-step explanation:
There are 13 diamond cards in a standard 52-card deck.
First drawing:
13 diamonds
52 total cards
After the first drawing you already took a diamond, so there are 12 diamonds left out of 51 total cards.
p(diamond and diamond) = 13/52 * 12/51 = 1/4 * 4/17 = 1/17
If two events are mutually exclusive, why is ? Choose the correct answer below. A. because A and B each have the same probability. B. because A and B cannot occur at the same time. C. because A and B are independent. D. because A and B are complements of each other.
Answer:
B. because A and B cannot occur at the same time.
Step-by-step explanation:
If two events are mutually exclusive, why is ? Choose the correct answer below.
A. because A and B each have the same probability.
B. because A and B cannot occur at the same time.
C. because A and B are independent.
D. because A and B are complements of each other.
Please answer this correctly
Answer:
9/49
Step-by-step explanation:
The probability of landing on an even number is 3/7.
Because there are only 3 numbers even out of 7 total numbers.
[tex]3/7 \times 3/7[/tex]
[tex]= 9/49[/tex]
Write the recursive sequence for: 64, 16, 4, 1, ...
Answer:
Use the formula
a
n
=
a
1
r
n
−
1
to identify the geometric sequence.
Step-by-step explanation:
a
n
=
64
4
n
−
1 hope this helps you :)
Answer: The answer is in the steps.
Step-by-step explanation:
f(1)= 64
f(n)=1/4(n-1) n in this case is the nth term.
Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. Which statements are correct? Check all that apply. Fredrick’s data set contains an outlier. The median value is 12 home runs. The mean value is about 12.6 home runs. The median describes Fredrick’s data more accurately than the mean. The mean value stays the same when the outlier is not included in the data set.
Answer:
(a) Yes, Fredrick’s data set contains an outlier.
(b) No, the median value is not 12 home runs.
(c) Yes, the mean value is about 12.6 home runs.
(d) Yes, the median describes Fredrick’s data more accurately than the mean.
(e) No, the mean value doesn't stay the same when the outlier is not included in the data set.
Step-by-step explanation:
We are given that Fredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play.
Firstly, arranging our data set in ascending order we get;
1, 12, 12, 12, 13, 13, 14, 15, 16, 18.
(a) The statement that Fredrick’s data set contains an outlier is true because in our data set there is one value that stands out from the rest of the data, which is 1.
Hence, the outlier value in the data set is 1.
(b) For calculating median, we have to first observe that the number of observations (n) in the data set is even or odd, i.e;
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2})^{th} \text{ obs.}[/tex]
If n is odd, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations in Fredrick's data set is even, i.e. n = 10.
SO, Median = [tex]\frac{(\frac{n}{2})^{th} \text{ obs.}+(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(\frac{10}{2})^{th} \text{ obs.}+(\frac{10}{2}+1)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{(5)^{th} \text{ obs.}+(6)^{th} \text{ obs.} }{2}[/tex]
= [tex]\frac{13+13 }{2}[/tex] = 13 home runs
So, the statement that the median value is 12 home runs is not correct.
(c) The mean of the data set is given by;
Mean = [tex]\frac{1+ 12+ 12+ 12+ 13+ 13+14+ 15+ 16+ 18}{10}[/tex]
= [tex]\frac{126}{10}[/tex] = 12.6 home runs
So, the statement that the mean value is about 12.6 home runs is correct.
(d) The statement that the median describes Fredrick’s data more accurately than the mean is correct because even if the outlier is removed from the data set, the median value will remain unchanged but the mean value gets changed.
(e) After removing the outlier, the data set is;
12, 12, 12, 13, 13, 14, 15, 16, 18.
Now, the mean of the data = [tex]\frac{12+12+ 12+ 13+ 13+ 14+ 15+ 16+ 18}{9}[/tex]
= [tex]\frac{125}{9}[/tex] = 13.89
So, the statement that the mean value stays the same when the outlier is not included in the data set is incorrect.
Answer:
Fredrick’s data set contains an outlier.
The mean value is about 12.6 home runs.
The median describes Fredrick’s data more accurately than the mean.
Step-by-step explanation:
Priya was busy studying this week and ran 7 fewer miles than last week. She ran 3 times as far as Elena ran this week. Elena only had time to run 4 miles this week. How many miles did Priya run last week?
Answer:Priya ran 19 miles last week
Step-by-step explanation:
4 x 3 = 12
12 + 7 = 19
The prize in a raffle is a flat-screen TV valued at $350, and 1,000 tickets are sold for a dollar each. Let’s find the expected value if you buy 1 ticket. Find the expected value. Round your answer to two decimal places. Remember a gain would be posit
Answer:
the expected value EV = −$0.65
Step-by-step explanation:
Expected value EV = expected gain - expected loss
Given;
Cost of a ticket L = $1
Probability of losing the ticket P(L)= 999/1000 = 0.999
Cost of a flat screen TV = $350
Expected gain G = $350 - $1 = $349
Probability of winning the TV P(G) = 1/1000 = 0.001
EV = G × P(G) - L × P(L)
Substituting the values;
EV = $349 × 0.001 - $1 × 0.999
EV = −$0.65
the expected value EV = −$0.65
Given that IG is perpendicular to FT, which of the following statements is true?
Answer:
B ). IF = IT
Step-by-step explanation:
IG is perpendicular to FT, means that the line IG divides the line FT into two equal parts without remainder.
Line IG does not only divide line FT, it also bisect the arc FT into two equally parts also.
It also divide the segment of the circle FIT into two equal parts.
So to the correct answer to the question, IF = IT
Work out the circumference of this circle Give your answer in terms of pie and state in units R=14cm Answer= Units=
Answer:
28π cm²
Step-by-step explanation:
Circumference Formula: C = 2πr
Simply plug in r into the formula:
C = 2π(14)
C = 28π or 87.9646
Answer:
28π cm
Step-by-step explanation:
The circumference of a circle has the formula 2πr.
2 × π × r
Where r is the radius.
2 × π × 14
28 × π
= 28π
The circumference is 28π and the unit is centimeters.
Please answer this correctly
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
the ways of choosing 2 cards out of 4, is calculator by
[tex] \binom{4}{2} = 6[/tex]
so, 6 ways to select 2 cards.
but in only one way we can have 2 even cards. thus, the answer is
[tex] \frac{1}{6} [/tex]
What is the circumference of the circle below? (Round your answer to the nearest tenth.)
Hey there! :)
Answer:
75.4 cm.
Step-by-step explanation:
Formula for the circumference of a circle:
C = 2rπ
Given:
r = 12 cm
Plug this value of r into the equation:
C = 2(12)π
C = 24π
Multiply by π (3.14)
24 × 3.14 = 75.36 cm
Round to nearest tenth:
75.36 ≈ 75.4 cm.
Answer: B
Step-by Step: C=2n
r= 2•n•12= 75.39822
You round it to the nearest tenth, it would be 75.4
Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x { x ( t ) = 5 √ t y ( t ) = 7 t + 4
Answer:
y(x) = (7/25)x^2 + 4
Step-by-step explanation:
Given:
x = 5*sqrt(t) .............(1)
y = 7*t+4 ..................(2)
solution:
square (1) on both sides
x^2 = 25t
solve for t
t = x^2 / 25 .........(3)
substitute (3) in (2)
y = 7*(x^2/25) +4
y= (7/25)x^2 + 4
Emily and George had a farm with a new barn.
True
False
Answer:
true
Step-by-step explanation:
it is so because they are brother and sister
And in the chapter there is that they had farm with a new barn
if in your book lesson there is that they had no farm with a new barn then there will be false
Now did you understood?
Answer:
True
Step-by-step explanation:
Given an objective function value of 150 and a shadow price for resource 1 of 5, if 10 more units of resource 1 are added (assuming the allowable increase is greater than 10), what is the impact on the objective function value?
Answer:
The impact on the objective function is that it is increased by 50.
Step-by-step explanation:
In this case we have that the value of the objective function is 150, and they tell us that 10 more units of resource one are added, but they tell us that the shadow price ranges from 1 to 5, therefore:
10 * 5 = 50
Which means that the impact on the objective function is that it is increased by 50.
a bag contains 6 cherry 3 orange and 2 lemon candies. You reach in and take 3 pieces of candy at random. Find the probability of all lemons
Answer:
0.181818
Step-by-step explanation:
There are total 11 candies. The possibility of combinations is 165 which is found by using computation technique 11C3. It is assumed that order does not matter. There are 3 pieces of candy are selected at random. There are 6C2 which is 15 different ways to select cherry and lemon. There are 30 ways to choose 2 cherry and a lemon combination. The probability is [tex]\frac{30}{165}[/tex] = 0.181818
Manueala scored -4 \dfrac12−4 2 1 minus, 4, start fraction, 1, divided by, 2, end fraction points relative to her season average against the China Dragons. She scored 1 \dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction points relative to her season average against the Canada Moose. Drag the white cards onto the gray rectangle to write an inequality that correctly compares Manueala's relative numbers of points. Which one of the following descriptions is correct? Choose 1 answer: Choose 1 answer: (Choice A) A Manueala scored more points against the China Dragons than against the Canada Moose. (Choice B) B Manueala scored more points against the Canada Moose than against the China Dragons.
Answer:
1 1/2 > - 4 1/2 and Manuela scored more points against the Canada Moose than against the China Dragons.
Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimeters and an unknown population mean. A random sample of 15 saplings is taken and gives a sample mean of 308 millimeters. Find the confidence interval for the population mean with a 99%z0.10 z0.05 z0.025 z0.01 z0.0051.282 1.645 1.960 2.326 2.576
Answer:
[tex]296.693\leq x\leq 319.307[/tex]
Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:
[tex]x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }[/tex]
Where x' is the sample mean, s is the population standard deviation, n is the sample size and [tex]z_{\alpha /2}[/tex] is the z-score that let a proportion of [tex]\alpha /2[/tex] on the right tail.
[tex]\alpha[/tex] is calculated as: 100%-99%=1%
So, [tex]z_{\alpha/2}=z_{0.005}=2.576[/tex]
Finally, replacing the values of x' by 308, s by 17, n by 15 and [tex]z_{\alpha /2}[/tex] by 2.576, we get that the confidence interval is:
[tex]308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307[/tex]
John multiplied 400,000 by 7,800 on his calculator. He got the result shown on his calculator display. What is this number in standard form? A calculator screen that shows 3 point 1 2 E 9. A 0.00000000312 B 0.000000312 C 312,000,000 D 3,120,000,000
Answer:
D
Step-by-step explanation:
jtrsytexjgfcgvhjbkjnhgfdsasdfghjhgrertyu
Answer:
Correct answer is D
Step-by-step explanation:
I need help with this question.
Answer:
b. 14
Step by step explanation:
Which graph represents the function?
the answer is the bottom left option
What is the solution of the system? {2x+y=15x−y=3 Enter your answer in the boxes. ( , )
Step-by-step explanation:
2x+y=15x-y=3
then u group like terms
2x-15x= -y+y=3
then ur answer
13x=3
Solve: -1/2+ c =31/4 c=8 c=7 c=33/4 c=29/4
Answer:
c = 29/4Step-by-step explanation:
[tex] - \frac{1}{2} + c = \frac{31 }{4} \\ \\ c = \frac{31}{4} + \frac{1}{2} = \frac{31 - 2}{4} \\ \\ c = \frac{29}{4} [/tex]
Hope this helps you
A sample of 80 Valencia oranges showed a mean weight of 5.5 ounces with a standard deviation of 0.2 ounces. Obtain a 95% confidence interval for the weight of Valencia oranges. [5.495, 5.505 ] [0.195, 0.205] [ 5.456,5.544] [0.156, 0.244 )
Answer:
[ 5.456, 5.544]
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 5.5 ounces
Standard deviation r = 0.2 ounces
Number of samples n = 80
Confidence interval = 95%
z value (at 95% confidence) = 1.96
Substituting the values we have;
5.5+/-1.96(0.2/√80)
5.5+/-1.96(0.022360679774)
5.5+/-0.043826932358
5.5+/-0.044
= ( 5.456, 5.544) ounces
Therefore the 95% confidence interval (a,b) = ( 5.456, 5.544) ounces
what is Divide −240 by 8
The division -240 by 8 gives the quotient is -30.
What is Division?The division is one of the four introductory fine operations, the other three being addition, deduction, and addition. In simple words, division can be defined as the splitting of a large group into lower groups similar that every group will have an equal number of particulars. It's an operation used for equal grouping and equal sharing in calculation.
We have to divide -240 by 8.
So, the division is
8 | -240 | 30
24
____
00
Thus, the quotient is -30.
Learn more about Division here:
https://brainly.com/question/21416852
#SPJ2
How long will it take 3800 to grow into 5700 if it’s invested at 6% interest compounded continuously?
Answer:
1234567891234567890
Answer: 25 years
Step-by-step explanation:
t = I / Pr
t = 5700 / ( 3800 × 0.06 ) = 25
t = 25 years
What is the 20th digit in the decimal expansion for the sum of 2/9 and 1/7
Answer:
The 20th digit is 6.
Step-by-step explanation:
1. Add 2/9 and 1/7.
2/9 + 1/7 = 23/63
2. Convert to a decimal.
23 ÷ 63 = 0.365079...
If you continue to divide, you will notice that the number repeat. So, the decimal would be 0.365079365079...
3. Find the 20th digit.
0.365079365079365079365079
Answer:
6
Step-by-step explanation:
Aops question
We have $\frac29 + \frac17 = \frac{14}{63} + \frac{9}{63} = \frac{23}{63}$. Expressing $\frac{23}{63}$ as a decimal using long division, we find $\frac{23}{63}=0.\overline{365079}$. Therefore, every 6th digit after the decimal point is a 9. So, the 18th digit is a 9; the 20th digit is 2 decimal places later, so it is a $\boxed{6}$.
It's in Latex
Please help me!!!!!!!!
Step-by-step explanation:
might be option c is a correct answer of your given question
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis
Foundation. This foundation was created to help ease the pain of HIV/AIDS in Africa Lewis, a Canadian
works for the United Nations trying to determine ways to stop the spread of this deadly disease from crippling
an entire continent
a. Choose a variable to represent the money earned during fundraising activities and the revenue generated
for the foundation
b. Use these variables to create an equation that will determine the amount of money the foundation will
receive
c. In their latest bake sale, the club raised $72. Calculate the amount the foundation will receive
d. At the end of the year, the World Issues Club mailed a cheque to the foundation for $850. How much
money did they fundraise in total?
Answer:
a. Let the variable be [tex]x[/tex] for the fundraising activities and [tex]M[/tex] as the revenue for foundation.
b. [tex]M =0.60x[/tex]
c. $43.2
d. $1416.67
Step-by-step explanation:
Given that:
The World Issues club donates 60% of the total of their fundraising activities.
Answer a.
Let us choose the variable [tex]x[/tex] to represent the money earned during fundraising activities and [tex]M[/tex] for the revenue generated for foundation.
Answer b.
Foundation will receive 60% of the total of the fundraising activities.
Equation to determine the money that will be received by foundation:
[tex]M = 60\%\ of\ x\\OR\\M = 0.6x[/tex]
Answer c.
Given that x = $72, M = ?
Putting the value of x in the equation above:
[tex]M = 0.6 \times 72\\\Rightarrow \$43.2[/tex]
Answer d.
Given that M = $850, x = ?
Putting the value of M in the equation above to find x:
[tex]850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67[/tex]
So, the answers are:
a. Let the variable be [tex]x[/tex] for the fundraising activities and [tex]M[/tex] as the revenue for foundation.
b. [tex]M =0.60x[/tex]
c. $43.2
d. $1416.67
What is the greatest common factor of the polynomial below 12x^2-9x
Answer:
the greatest common factor of this is 3