Answer:
Total selling price= $663.82
Selling price per liter= $1.69
Step-by-step explanation:
Giving the following information:
Proportion of oil and gasoline:
Oil= 3/14= 0.21
Gasoline= 11/14= 0.79
The oil costs $0.75 per liter.
The gasoline costs $1.60 per liter.
First, we need to calculate the number of liters of oil and gasoline required:
Oil= 0.21*392= 82.32 liters
Gasoline= 0.79*392= 309.68
Now, the total cost to produce 392 liters:
Total cost= 82.32*0.75 + 309.68*1.6
Total cost= $577.23
Finally, the total and unitary selling price:
Total selling price= 577.23*1.15= $663.82
Selling price per liter= 663.82 / 392= $1.69
What is the probability of rolling a number greater than or equal to 8 with the
sum of two dice, given that at least one of the dice must show a 6?
does anyone know the quotient of x and y
Answer:
[tex]\frac{x}{y}[/tex]
Step-by-step explanation:
There you go.
Answer: The quotient of x is invisible number it can be any number depending of the equation
Pls help Solve logx^343=3
Answer:
343 square root 1000
Step-by-step explanation:
See Image below:)
Question 1 of 10
What is the x-intercept of the function graphed below?
The "x-interept" is the point where the graph crosses the x-axis.
From here, it looks like this graph crosses the x-axis where x=2 .
So the point is (2, 0) .
That's choice-A .
Please help, show work! Limits and functions! 85 points!
Answer:
Ok I might misunderstand this but this is what I got ( in order )
Find the approximate surface-area-to-volume ratio of a bowling ball with a radius of 5 inches.
A 0.6
B. 0.67
C. 1.67
D. 25
Answer:
Step-by-step explanation:
Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.
Equation:
[tex]tan(x) = \frac{opp}{adj}[/tex]
Please help will give brainliest answer
D none of the above
as it should be ([tex]\sqrt[5]{x}[/tex])^4
A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 2.00.
Answer:
False
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
[tex]\mu = 30, \sigma = 8[/tex]
Sample of 4
This means that [tex]n = 4, s = \frac{8}{\sqrt{4}} = 4[/tex]
Probability of obtaining a sample mean greater than 34:
This is 1 subtracted by the p-value of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{34 - 30}{4}[/tex]
[tex]Z = 1[/tex]
Thus, the probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 1.00, and the statement in this question is false.
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!!
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answer:
B
Step-by-step explanation:
20,24,25,27,29,31,34
min = 20
Q1 = 24
median = 27
Q3 = 31
max = 34
============================================================
Explanation:
Original Data Set = {29, 31, 27, 20, 25, 34, 24}
Sorted Data Set = {20, 24, 25, 27, 29, 31, 34}
The middle-most value of the sorted set is 27, since there are 3 values above it and 3 values below. So the median is 27.
The median is represented by the vertical line inside the box. It does not have to be at the visual midpoint between the left and right edges. It simply needs to be anywhere inside the box.
So we can rule out choice B for instance because this answer choice shows a median of 25, when we want 27 instead.
Choices A, C and D all have the same median of 27.
-------------
Break up the sorted set into two smaller sets like this
L = {20, 24, 25}
U = {29, 31, 34}
L represents the set of lower values, which are smaller than the median. U is the upper set of values larger than the median. The median itself is not in L or U.
Find the median of L and U to get 24 and 31 respectively. These are the Q1 and Q3 values in that order.
Q1 = 24
Q3 = 31
These are the left and right edges of the box.
We can cross choice A off the list because the right edge of the box in that diagram is at 29 instead of 31.
The answer is between C and D.
-------------
The last things to consider are the min and max, which are the smallest and largest elements. These are the left and right tips of the whiskers, assuming that we don't have small or large outliers. In this case, we don't have to worry about outliers.
The min and max is 20 and 34 which must mean the answer is choice C
We can rule out choice D because the max shown here is 35.
-------------
In short, the data set has the following five number summary:
min = 20Q1 = 24median = 27Q3 = 31max = 34all of these five values correspond to a specific visual feature of the boxplot (see diagram below)
A taxi service charges $1.50 plus $0.60 per mile for a trip to the airport. The total charge is $13.50.
Which equation can be used to determine the number of miles, m, to the airport?
Answer:
13.50=1.50+.6x
Step-by-step explanation:
13.50=1.50+ .6x
12=.6x
20=x
The value of the equation is 13.50 = 1.50 + 0.6m , where y is the total cost and x is the number of miles traveled and m = 20 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the total cost of the taxi be represented as y
Let the number of miles traveled be represented as m
Now , the total cost = $ 13.50
The number of miles = m miles
The initial cost of taxi = $ 1.50
The cost per mile = $ 0.60
So , the equation is 13.50 = 1.50 + 0.6m
Subtracting 1.50 , we get
12 = 0.6m
Divide by 0.6 , we get
m = 20 miles
Hence , the number of miles is 20 miles
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Multiple incorrect password attempts for a single login can, of course, sometimes be suggestive of an attempt to gain unauthorized access to an account. Typically there are about 52 such attempts noted each day. An analyst examining web server logs notes what appears to be an increase in these incidents over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2. Has there been a statistically significant increase in the number of attempts? Use the standard level for alpha.
Answer:
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
Step-by-step explanation:
Typically there are about 52 such attempts noted each day. Test if there has been a statistically significant increase.
At the null hypothesis, we test if the mean is the same, that is of 52. Thus:
[tex]H_0: \mu = 52[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, if the mean is greater than 52. So
[tex]H_1: \mu > 52[/tex]
Use the standard level for alpha.
So [tex]\alpha = 0.05[/tex]
The test statistic is:
We have the standard deviation for the sample, so t-distribution.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
52 is tested at the null hypothesis:
This means that [tex]\mu = 52[/tex]
Over the previous 30 days in which there were an average of 57 attempts each day with a standard deviation of 17.2.
This means that [tex]n = 30, X = 57, s = 17.2[/tex]
Value of the test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{57 - 52}{\frac{17.2}{\sqrt{30}}}[/tex]
[tex]t = 1.59[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 57, which is a right-tailed test with t = 1.59 and 30 - 1 = 29 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.0613.
The p-value of the test is 0.0613 > 0.05, which means that there has not been a statistically significant increase in the number of attempts.
help. i do not understand
9514 1404 393
Answer:
θ = 56°θ = 65°θ = 45°Step-by-step explanation:
In general, you solve equations like these by getting the function of the variable by itself on one side of the equal sign. Then you use the inverse function to find the argument of the function. As in problem 3, you may have to go another step or two to get from the value of the function argument to the value of the variable.
1. We need to find sin(θ), then use the arcsine function.
sin(θ) -0.832 = 0 . . . . given
sin(θ) = 0.832 . . . . . . add 0.832 to both sides
θ = arcsin(0.832) ≈ 56.305° . . . . . . use the inverse sine function to find θ
θ ≈ 56°
__
2. 1/2cos(θ) = 0.214 . . . . given
cos(θ) = 0.428 . . . . . . multiply by 2
θ = arccos(0.428) ≈ 64.659° . . . . use the inverse cosine function
θ ≈ 65°
__
3. 3tan(θ -20°) = 1.43 . . . . given
tan(θ -20°) = 0.47666... . . . divide by 3
θ -20° = arctan(0.47666...) . . . . use the arctan function to find θ-20°
θ -20° ≈ 25.486°
θ = 45.486° . . . . . . . add 20°
θ ≈ 45°
_____
Additional comments
Scientific and graphing calculators often require use of a 2nd or SHIFT key to access the inverse trig functions. The inverse function often uses the same key on the calculator. These are generally marked with a -1 superscript: a key might be marked with sin, for example, with sin⁻¹ as its alternate function.
The trig functions of a calculator will usually deal with angles in any of several units. The most common of these are degrees, grads, and radians. Usually, you are required to set the calculator mode to make use of one or the other of these angle measures. For this problem, you need to be sure the calculator is set to degrees mode.
How would I figure this out?
Answer:
y = 23
x ≈ 13
Step-by-step explanation:
3y + (y+88) = 180
Solve for y
y =23
6x + 35 = y + 88
substitute y = 23
6x + 35 = 23 + 88
Solve for x
x ≈ 13
How do you do?????????
Answer:
Where is the full questions?
4. A store had 86 DVDs and 52 CDs. When the equal number of DVDs and CDs were sold,
the number of DVDs left was 3 times that of the remaining CDs. How many DVDs were
left in the store?
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
Initial
Number of DVDs= 86
Number of CDs= 52
After selling
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
Expand:
86 -x= 156 -3x
Bring x terms to 1 side, constant to the other:
3x -x= 156 -86
Simplify:
2x= 70
Divide both sides by 2:
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
61 1/20 as a decimal
Answer:
61.05
Step-by-step explanation:
1/20 = 5/100 = 0.05
61+0.05 = 61.05
A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor Personal Friend Stay in Touch Mutual Friends Business Networking Other 600 210 105 650 224
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45
Complete Question
A polling agency conducted a survey about social media in which each person in random samples of 1,000 men and 1,000 women was asked what factor he or she considers to be the most important when deciding whether to connect on social media with another person. The responses are shown in the table
Factor
Personal Friend,Stay in Touch,Mutual Friends,Business Networking Other
Men 600 210 106 45 40
Women 650 224 65 15 46
What is the contribution to the chi square test statistic for men who selected business networking as the most important factor ?
a. 0.5
b. 5
c. 7.5
d. 30
e. 45
Answer:
Correct option is C
Step-by-step explanation:
From the question we are told that:
Sample
[tex]n =1,000 men+ 1,000 women[/tex]
Factor Table
Personal Friend,Stay in Touch,Mutual Friends,Business, Networking Other
Men 600 210 105 45 40
Women 650 224 65 15 46
Generally the equation for Expected value for Men, Business and networking X is mathematically given by
[tex]X= \frac{Row Total * Column Total}{Grand Total}[/tex]
[tex]X=\frac{(600 + 210 + 105 + 45 + 40)*(45 + 15)}{(600 + 210 + 105 + 45 + 40 + 650 + 224 + 65 + 15 + 46)}[/tex]
[tex]X=30.015[/tex]
Generally the equation for Chi Contribution is mathematically given by
[tex]Y= {(45 - 30.015)^2}{30.015}[/tex]
[tex]Y=7.48[/tex]
[tex]Y \approx 7.5[/tex]
Therefore
Correct option is C
The contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5
The expected value is calculated as:
[tex]X = \frac{RT * CT}{GT}[/tex]
Where:
RT represents the row total, CT represents the column total and GT represents the grand total.
For Men, Business and networking, we have:
[tex]X = \frac{(600+ 210 +105+45 + 40) * (45 + 15)}{(600 +210 +105 +45 +40 +650 +224 +65 +15 +46)}[/tex]
Evaluate the sum
[tex]X = \frac{1000 * 60}{2000}[/tex]
[tex]X = 30[/tex]
The contribution to the chi square test statistic for men who selected business networking is then calculated as:
Y = (Business Networking - X)^2 / X
This gives
[tex]Y = \frac{(45 - 30)^2}{30}[/tex]
Evaluate the difference
[tex]Y = \frac{15^2}{30}[/tex]
Evaluate the exponent
[tex]Y = \frac{225}{30}[/tex]
Evaluate the quotient
[tex]Y = 7.5[/tex]
Hence, the contribution to the chi square test statistic for men who selected business networking as the most important factor is 7.5
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Answer for fee rbux and branlest!!!! i need answer NOW or i will be DIE (not good!!!)
Answer:
its B homie
Step-by-step explanation:
U stuped
Find the particular solution of the differential equation passing through the given point.
(1+x2)dy=(x+1)ydx,(2,2)
Try this option, the answer is marked with red colour.
PLEASE HELP THIS IS DUE NOW
will mark brainliest!
10 points
please help with the steps
9514 1404 393
Answer:
346.1 monthly payments; 28.8 years18.5 years; infinite yearsStep-by-step explanation:
Two formulas come into play here. One is the future value of a series of payments. The other is the payment amount available from an ordinary annuity.
FV = An/r((1 +r/n)^(nt) -1) . . . . future value of payments of A made n times per year for t years
A = P(r/n)/(1 -(1 +r/n)^(-nt)) . . . . payment from principal P at invested at rate r for t years, compounded n times per year.
__
Problem 1
You want FV = $350,000, A = $400, r = 0.057, n = 12, and we want to find t. We can solve the FV equation for t to get ...
log(FV·r/(An) +1)/log(1 +r/n) = nt . . . . . number of months
log(350000·0.057/(400·12) +1)/log(1 +0.057/12) = nt ≈ 346.1
The retirement account can be funded by 346.1 monthly payments. That will take 28.8 years.
__
Problem 2
Again, solving for t, we get ...
log(1 -Pr/(An))/(-n·log(1 +r/n)) = t
The parameters for this are P = 700,000, A = 5000, n = 12, r = 0.054, so the account can be expected to last for ...
log(1 -700000·0.054/(5000·12))/(-12·log(1 +0.054/12)) ≈ 18.5 . . . years
Changing the withdrawal to $3000 per month makes the account last forever. It earns $3150 in interest each month, so the account balance continues to increase.
The account will support withdrawals of $5000 per month for 18.5 years.
The account will support withdrawals of $3000 per month forever.
PLZ HELP ASAP!!!!!!!!!!!!!!
Answer:
AB = 5√55
Step-by-step explanation:
Part 1 = AD = 25
Hypotenuse = AC = 55
Leg 1 = AB = x
To find AB, apply the leg rule which is:
Hypotenuse/leg 1 = leg 1/part 1
Plug in the values
55/x = x/25
Cross multiply
x*x = 55*25
x² = 1,375
x = √1,375
x = 5√55
AB = 5√55
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answer:
6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...The area of a given rectangle is 216 square inches.
Given that, the perimeter of the rectangle is 84 inches.
We need to find the area of a rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of a rectangle be x.
Given, that the length of a rectangle is six times its width. So, length=6x.
Now, 84=2(6x+x)
⇒14x=84
⇒x=6 inches
Then, length=6x=36 inches.
Area of a rectangle= Length×width=36×6=216 square inches
Therefore, the area of a given rectangle is 216 square inches.
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What are the solutions to 5x2 - x-1<0?
Answer:
See image below:)
Step-by-step explanation:
John joined a video game club. Newer games cost $5 to rent and older games cost $3 to rent John has $30 to spend each month. How many of each could John rent?
Answer:
6 newer games and 10 older games
Step-by-step explanation:
To find how many newer games John can purchase, we divide $30 by $5. If we do the simple math in our head, we will get the answer of 6. Therefore, the amount of newer games John can purchase is 6. Now to find the amount of older games John can buy, we apply the same strategy. We take $30 and we divide it by $3. This will get us the answer of 10. Therefore, the amount of older games John can purchase is 10.
Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time and good luck finding the correct answer :)
Mark is hosting a "Who Dunnit?" party at his house. He plans on taping off a triangular section of his backyard to represent the crime scene. If the sides measure 23 feet, 15 feet, and 32 feet, how much tape will be needed?
Jake has a 1 in 5 chance of winning the egg and spoon race.
what is the probability that he will NOT win the race
8%
20%
60%
80%
Answer:
Step-by-step explanation:
1 in 5 = 1/5 = 20% that he wins
Probability that he will NOT win
= 1 - 20%
= 100% -20%
= 80%
Answer:
80%
Step-by-step explanation:
percentage of winning
1/5×100%=20%
percentage of not winning
100%_20%=80%
A bakery celebrated its 25th anniversary
last Friday. On that day, every 12th
customer received a free loaf of bread
and every 9th customer received a free
cupcake.
Lauren was the first customer to receive
a free loaf of bread and a free cupcake. What was Lauren's number?
Answer:
8
Step-by-step explanation:
9: 9, 18, 27, 36, 45, 54, 63, 72
12: 12, 24, 36, 48, 60, 72
72 is the first number that can be divided (evenly) by both 9 and 12
Answer:
8
Step-by-step explanation:
9: 9, 18, 27, 36, 45, 54, 63, 72
12: 12, 24, 36, 48, 60, 72
72 is the first number that can be divided (evenly) by both 9 and 12
Katy runs a day care center . So far this year , the enrollment has consisted of 2 toddlers and 8 children of other ages . Considering this data, how many of the next 20 children to enroll should you expect to be toddlers?
Answer:
You should expect 4 of the next 20 children to enroll to be toddlers.
Step-by-step explanation:
This question is solved by proportions.
So far:
We have that of 2 + 8 = 10 children, 2 are toddlers, so the proportion of toddlers is 2/10 = 0.2.
How many of the next 20 children to enroll should you expect to be toddlers?
0.2 out of 20, so: 0.2*20 = 4
You should expect 4 of the next 20 children to enroll to be toddlers.