Prices at 93.75% of gasoline stations were within four standard deviations of the mean. Prices at 44.44% of gas stations were within 1.5 standard deviations of the mean. The prices within 1.5 standard deviations of the mean are $3.56 to $3.74. The minimum percentage of gasoline stations with prices between $3.43 and $3.83 is 15.46%.
Chebyshev's inequality states that the proportion of data within k standard deviations of the mean is at least 1 - 1/k² for all values of k.
(a) To find the percentage of gasoline stations with prices within 4 standard deviations of the mean, we can plug k = 4 into the formula above to get 1 - 1/4² = 1 - 1/16 = 15/16 = 93.75%.
(b) To find the percentage of gasoline stations with prices within 1.5 standard deviations of the mean, we can plug k = 1.5 into the formula above to get 1 - 1/1.5² = 1 - 1/2.25 = 4/9 = 44.44%. The prices within 1.5 standard deviations of the mean are $3.65 +/- (1.5 × 0.06) = $3.65 +/- $0.09, so the prices within 1.5 standard deviations of the mean are $3.56 to $3.74.
(c) To find the minimum percentage of gasoline stations with prices between $3.43 and $3.83, we can use Chebyshev's inequality with k = ($3.83 - $3.43)/(0.06) = 4.17. Plugging this value into the formula gives us 1 - 1/k² = 1 - 1/17.3 = 15.46%, which is the minimum percentage of gasoline stations with prices between $3.43 and $3.83.
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Manuel has $20,000 in a savings account that earns 7% annually. The interest is not
compounded. How much interest will he earn in 2 years?
PLEASE HELP!!
Answer:
If Manuel has $20,000 in a savings account that earns 7% interest per year and the interest is not compounded, then after two years he will earn $2,800 in interest. This is because 7% of $20,000 is $1,400, and since the interest is not compounded, this amount will remain constant for each year. Therefore, after two years Manuel will earn a total of $1,400 + $1,400 = $2,800 in interest.
In general, if a savings account earns x% interest per year and the initial amount in the account is y dollars, then after n years the account will earn n * (x/100) * y dollars in interest. For example, if the interest rate is 7% and the initial amount is $20,000, then after two years the account will earn 2 * (7/100) * $20,000 = $2,800 in interest.
Step-by-step explanation:
Answer:
The answer is $2800.
Step-by-step explanation:
Given;Manuel has $20,000 in a savings account that earns 7% annually.To Find;Interest of 2 years.Now,
(20000 × 7) ÷ 100 = $1400
Here, we get for 1 year
for two years,
1400 × 2 = $2800
Thus, He will earn $2800 in 2 years.
During the summer, Jordan and Ronald started their own business mowing lawns. Before starting any work, Jordan spent $20 to fill up the gas tank for the lawnmower. The boys agreed that each person would earn the same amount after Jordan was reimbursed the money he spent for gas. After a week of work, the boys were paid a total of $177. Jordan filled up the gas tank just once. How much did each boy earn?
Answer:
Each boy earned $88.50.
Step-by-step explanation:
Jordan and Ronald each earned $88.50 since they each earned the same amount after Jordan was reimbursed the $20 he spent for gas. This means that the total earnings they received was $177, and since they each earned the same amount, they each earned $177/2 = $88.50.
In a certain state, 43% of adults indicated that sausage is their favorite pizza. Suppose a simple random sample of adults in the state of size 25 is obtained and the number of adults who indicated that sausage is their favorite pizza was 19. What are values of the parameters n, p, and x in the binomial probability experiment?
If in a certain state, 43% of adults indicated that sausage is their favorite pizza. The values of the parameters n, p, and x in the binomial probability experiment are: n = 25, p = 43% x = 19.
What is binomial probability?Binomial probability can be defined as the tendency that two event will occur or the likelihood that an event will have two outcome such as good or bad, success or failure.
Analysis of the value of the parameters n,p,x:
n represent number of sample size = 25
p represent the probability of having success on a single trial = 43% or 0.43
x represent the number of success = 19
Therefore the values of the parameters n, p, and x in the binomial probability experiment are: n = 25, p = 43% x = 19.
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How do you slope intercept form and graph 4y-8x=12
The slope-intercept form of a line 4y - 8x = 12 is y = 2x + 3 and the slope is 2. The graph is attached below.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
Given:
4y - 8x = 12
Convert this equation to slope intercept form as shown below,
4y = 8x + 12
y = 8x / 4 + 12 / 4
y = 2x + 3
Here, the slope of the line is 2,
Therefore, the slope-intercept form of a line 4y - 8x = 12 is y = 2x + 3 and the slope is 2. The graph is attached below.
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Find the number of successes x suggested by the given statement. A running shoe manufacturer randomly selects 386 of its shoes for quality assurance and finds that 3.12% of these shoes are found to be defective. A. 12 B. 374 C. 120 D. 3
To find the number of successes x, we need to first find the total number of defective shoes. To do this, we can multiply the total number of shoes selected for quality assurance by the percentage of defective shoes, expressed as a decimal: 386 shoes * 0.0312 = 12.0736. Since we cannot have a fraction of a shoe, we can round down to the nearest whole number to find the number of successes x: 12.0736 rounded down = 12. Therefore, the number of successes x is 12, and the answer is 12.
Julia's Great Dane weighs 45 kg and Jake's Chihuahua weighs 15 kg. How much bigger, as a percentage, is Julia's dog?
Answer: julia dog is 300% bigger than jake's
Step-by-step explanation:
Lilah invested $400 in the stock market. She saw an 8% decrease in her money, what is the value of her stocks now
The value of Lilah's stock after the decrease of 8 % is $ 368
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 initial amount of money Lilah invested in stocks be = A
The value of A is = $ 400
Now , the percentage decrease in the value of stocks = 8 %
So , the equation will be
The value of the stocks after the decrease = initial amount of money Lilah invested in stocks - ( percentage decrease in the value of stocks x initial amount )
Substituting the values in the equation , we get
The value of the stocks after the decrease = 400 - ( 8/100 ) x 400
The value of the stocks after the decrease = 400 - ( 8 x 4 )
The value of the stocks after the decrease = 400 - 32
The value of the stocks after the decrease = $ 368
Therefore , the value of A is $ 368
Hence , The value of Lilah's stock after the decrease of 8 % is $ 368
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simplify 4(x -9y) + 8(3x + 2y)
Answer:
28x - 28y I think hope it is the answer
what is the decimal equivalent of 38/50
Answer: it is equal to 0.76
Answer: 0.76
Step-by-step explanation: 38 ÷ 50 = 0.76
what is the discontinuity of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4
The function given as f(x) = (x² - 16)/(6x - 24) is discontinuous at x = 4
What is the discontinuity of the function?We are given the function as;
f(x) = (x² - 16)/(6x - 24)
We have to find the discontinuities of the function.
Now, the denominator 6x - 24 becomes 0 when x = 4.
This means that when x = 4, the function now becomes undefined.
Therefore, we can say that there is a discontinuity at x=4
However, this discontinuity can be removed due to the fact that we have x = 4 in the numerator.
But despite the above, it is still discontinuous at that value of x.
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Jayden is deciding between two truck rental companies. Company A charges an initial fee of $85 for the rental plus $1.50 per mile driven. Company B charges an initial fee of $65 for the rental plus $2.50 per mile driven. Let AA represent the amount Company A would charge if Jayden drives xx miles, and let BB represent the amount Company B would charge if Jayden drives xx miles. Write an equation for each situation, in terms of x,x, and determine which company would be cheaper if Jayden needs to drive 5 miles with the rented truck.
Answer:
A = 85 +1.50xB = 65 +2.50xB is cheaper for 5 milesStep-by-step explanation:
You want cost equations and the cheaper company for driving 5 miles when A charges $85 plus $1.50 per mile, and B charges $65 plus $2.50 per mile.
(a) EquationsIn each case, the cost is the sum of the initial fee and the mileage charge. The mileage charge is the cost per mile, multiplied by the number of miles (x). Using the given fees and costs per mile, we have ...
A = 85 +1.50x
B = 65 +2.50x
(b) Cheaper companyThe difference in fees is $85 -65 = $20. The difference in mileage charges is $2.50 -1.50 = $1.00 (per mile). Then the two companies will charge the same for $20/($1 /mile) = 20 miles.
Five miles is less than that "break even" mileage, so the cheaper company will be the one with the lower initial fee. (The graph shows the charges for each company for 5 miles.) For more than 20 miles, the cheaper company is the one with the lower mileage charge.
Company B will be cheaper for a drive of 5 miles.
42 out of the 84 employees at the water slides are temporary employees. What percentage of the employees at the water slides are temporary?
Answer:
42
Step-by-step explanation:
Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is
A: Linear
B: Nonlinear
Answer:
Linear
Step-by-step explanation:
I'd say this because the line is straight so I think it's linear. (If wrong sorry)
a ractangle has an area of 2/9 which could be the dimenions
Answer:
It is not possible to determine the dimensions of a rectangle with only the information that its area is 2/9. The area of a rectangle is calculated by multiplying its length by its width, so a rectangle with an area of 2/9 could have many different combinations of length and width. For example, a rectangle with dimensions of 1/3 by 2/3 would have an area of 2/9, as would a rectangle with dimensions of 2/9 by 1.
If 3/2 liters is equal to 1/4 serving. Use a double number line or math drawing to determine how many liters is equivalent to a 2/3 serving
The volume of liters equivalent to a 2/3 serving shown using the proportional relationship displayed on a double number line is 4 liters
What is a number line?A number line consists of numbers spread in equal increments or spacing on an horizontal or vertical line.
The volume equivalent to 1/4 serving = 3/2 liters
A volume of 3/2 liters = 1.5 liters
If 3/2 liters = 1/4 serving, therefore;
1 serving = 4 × (3/2) liters = 6 liters
2/3 serving = (2/3) × 6 liters = 4 liters
Similarly: 0.5 liters = (1/4)/3 = 1/12
Expressing the above information on a double number line, we get;
[tex]{}[/tex] 1.5 2.0 2.5 3.0 3.5 4.0
Vol. in Liters <--------|----------|----------|-----------|-------------|--------------|------------->
[tex]{}[/tex] (1/4) (1/3) (5/12) (1/2) (7/12) (2/3)
Serving <---------|----------|-----------|-----------|-------------|-------------|------------->
From the above double number line, the number of liters equivalent to a 2/3 serving is 4 litersLearn more about number lines here:
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Can you Help me please...
:(
The main characteristics of a correct diet are those mentioned below:
Diet under medical supervision.Combine nutrients in adequate amounts.Eat at regular times and avoid sweets between meals. Combine various types of food and avoid excess.¿What is a correct diet?A correct diet is a diet that is characterized by having the following elements:
CompleteBalancedInnocuousEnoughVariedAdequateHaving a correct diet is important for the care of our health in general.
¡Hope this helped!
5). Jacob and Madison share a reward of $90 in a ratio of 1 : 4. What fraction of the total reward does Jacob get?
Answer:
$18
Step-by-step explanation:
RatioRatios are numerical proportions among different values.
Eg. 1 : 4 is 1 to 4.
SolutionGiven Total Shares = 1 + 4 = 5 = $90
Jacob gets 1 share.
1 Share = $90 ÷ 5 = $18
Therefore Jacob gets $18.
Please help me understand this
Answer:
? understand whatt I think you ment to put a picture or something
You and a friend go to Tacos Galore for lunch. You order three soft tacos and three
burritos and your total bill is $11.25. Your friend's bill is $10.00 for four soft tacos
and two burritos. How much do soft tacos cost? How much do burritos cost?
please show work
Answer:
3 tacos and 3 burritos cost $11.25; 4 tacos and 2 burritos cost $10. The difference is 1 more taco and 1 less burrito, for $1.25 less.
So adjust the order repeatedly the same way, adding one taco and taking away one more burrito, and decreasing the cost by $1.25 each time.
3 tacos, 3 burritos, $11.25
4 tacos, 2 burritos, $10.00
5 tacos, 1 burrito, $8.75
6 tacos, 0 burritos, %7.50
The cost of each taco is $7.50/6 = $1.25.
3 of each cost $11.25, so 1 of each cost $3.75; the taco costs $1.25, so the burrito costs $2.50.
ANSWERS: taco $1.25, burrito $2.50
Find the common ratio of the geometric sequence -6, -48, -384, ...
Answer:
8
Step-by-step explanation:
-6 x 8=-48
-48 x 8=-384
So then I think that the common ratio is 8. ( If wrong, my sincere apology)
θ is an acute angle. Find the value of θ in degrees.
sec(θ)=2
The value of the secant angle will be equal to 60°.
What is trigonometry?The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.
Given that the secant angle secθ is equal to 2. The value of the angle will be calculated as,
secθ = 2
θ = sec⁻¹(2)
θ = 60°
The secant angle will have a value of 60°.
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Solve the compound inequality.
-2x < -10 and x-5<6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
5 < x < 11 or x ∈ (5, 11)-----------------------------
Given compound inequality:
- 2x < - 10 and x - 5 < 6Solve each inequality:
- 2x < - 10 Divide both sides by - 2, it flips the inequality signx > 5 x - 5 < 6 Add 5 to both sidesx < 11Solution is:
5 < x < 11or
x ∈ (5, 11)match the graph with the table.
can someone please help me with this? thank you!:
There are 3 urns containing coins. Urn I contains 5 gold coins, urn II contains 2 gold coins and 2 silver coins, and urn III contains 3 silver coins. An urn is selected at random and a coin is drawn from the urn. If the selected coin is silver, what is the probability that urn III was selected? (Enter your probabilities as fractions.)
2/3 is the probability of selecting silver coin from Urn III.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Urn I: 5 gold coins
Urn II: 2 gold coins and 2 silver coins
Urn III: 3 silver coins
The probabilities of choosing an urn are calculated as shown below:
P(Urn1)+P(Urn2)+P(Urn3)=1/3
First, calculate the probability of choosing a silver coin from the first urn.
P(S1)=0/5
Now, calculate the probability of choosing a silver coin from the second urn.
P(S2)=2/4=1/2
Now, calculate the probability of choosing a silver coin from the third urn.
P(S3)=3/3=1
Now, calculate the probability that the silver coin is selected from Urn III.
P(Silver coin chosen from urn III)=Favorable outcome/Total outcome
=1/3×1/1/3×0+1/3×1/2+1/3×1
=1/3/(1/6+1/3)
=2/3
Hence, the probability of selecting silver coin from Urn III is 2/3.
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When Derrick turned 15, his grandparents put $10,000 into an account that yielded 1.4% interest, compounded quarterly, When Derrick turns 18, his grandparents
will give him the money to use toward his college education. How much does Derrick receive from his grandparents on his 18th birthday?
=======================================================
Explanation:
The compound interest formula is
A = P*(1+r/n)^(n*t)
where,
A = account balance after t yearsP = deposit amountr = annual interest rate in decimal formn = number of times the money is compounded per yeart = number of yearsThe deposit amount is P = 10000 dollars.
The value of r here is r = 0.014 which is the decimal form of 1.4%
n = 4 since we're compounding quarterly, i.e. 4 times a year.
The timespan from when Derrick was 15 to when he became 18 is 18-15 = 3 years, which is the value of t.
Summary of input values:
P = 10000r = 0.014n = 4t = 3Let's find the value of "A".
A = P*(1+r/n)^(n*t)
A = 10000*(1+0.014/4)^(4*3)
A = 10428.1800719861
A = 10428.18
Graph the linear inequality.
y> 3x+5
Answer:
Graph a solid line, then shade the area above the boundary line since y y is greater than −3x+5 - 3 x + 5 . y≥−3x+5 y ≥ - 3 x + 5.
Step-by-step explanation:
Sandy receives a 16000 salary for working as an agent. If sandy spends 25% of her salary of expenses each year, then how much money does sandy spend on her expenses?
Answer:
Sandy spends 4000 on expenses.----------------------------
Total amount is 16000 and its 25% is spent on expenses.
Find the amount of expenses:
16000*25/100 = 4000Here are the ages (in years) of 8 professors at a college. 46, 32, 57, 28, 42, 34, 29, 37. What is the percentage of these professors who are younger than 35?
Answer:
1/2
Step-by-step explanation:
There are 8 total professors and 4 are below the age of 35
32, 28, 34, 29
Last week Cody ran 27 more miles than Joseph. Cody ran 34 miles. How many miles did Joseph run?
Which equation represents this situation?
A. x−27=34
B. x−34=27
C. x+27=34
D. x+34=27
Answer:
C
Step-by-step explanation:
The answer is 7 to the equation.
34-27 = 7
Another way to go about this is
x + 27 = 34
x = 7
27 + 7 = 34
:)
100 points will mark brainliest
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C