The common stock of the downtowne should return 23 percent in a boom, 16 percent in a normal economy, and lose 32 percent in a recession. the probabilities of a boom, normal economy, and recession are 5 percent, 90 percent, and 5 percent, respectively. what is the variance of the returns on this stock?
a..012453
b..012914
c..011345
d..011663
e..012691
Gabriela's monthly take-home pay is $2800, and her monthly rent is $700. If both her monthly take-home pay and her rent increase by $210, what percentage of Gabriela's take-home pay will be used to pay rent?
Answer:
30.23%
Step-by-step explanation:
Gabriela's monthly take-home pay = $2,800
Her monthly rent = $700
if her monthly take-home pay and her rent increase by $210.
Her monthly take-home pay would be = 2800 + 210 = $3,010
Her monthly rent would be = 700 + 210 = $910
Now we have to calculate the percentage of Gabriela's take-home pay used to pay rent.
[tex]\frac{910}{3010}[/tex] × 100
= 0.3023 × 100
= 30.23%
Gabriela's take-home pay will be used 30.23% to pay rent.
Fran made 8 cups of potato soup in a big pot, then served 4 bowls of soup to her family. each bowl holds 6 fluid ounces. how much soup was left in the pot
1/2(18+14)-(18-14)power of 2
Final answer:
The given mathematical expression simplifies to 0, after performing the necessary arithmetic operations and applying the correct order of operations, including parentheses and exponents.
Explanation:
The question involves simplifying a mathematical expression with both arithmetic operations and exponentiation. To solve the expression [tex](1/2(18+14)-(18-14))^2[/tex] , you first perform the operations inside the parentheses, then multiply by 1/2 (which is the same as dividing by 2), and finally subtract the square of the difference between 18 and 14.
Calculate the sum inside the first set of parentheses: 18 + 14 = 32.Multiply this sum by 1/2: 1/2 × 32 = 16.Calculate the difference inside the second set of parentheses: 18 - 14 = 4.Square this difference: [tex]4^2[/tex] = 16.Subtract the squared difference from the first result: 16 - 16 = 0.Therefore, the solution to the expression is 0.
A young company expects to double their profits every year for the next ten years. If their profits were $5,000 this year, which expression represents their profits after ten years?
a) 5,000 × 2 × 10
b) 5,000 × 210
c) 5,0002 × 10
d) 5,00010
Find percentage of each quantity. 40% of an hour
Answer:
2/5 of an hour and 24 min
Step-by-step explanation:
Minutes:
Turn the percent into a fraction to get 40/100Once you get 40/100 simplify to get 2/5After getting 2/5 multiply that with 60 (or make 60 into a fraction of 60/1) to get 120/5Again simplify the fraction 120/5 to get 24.Hours:
*Very easy*
Go back to step 3 for the minutes, and you will have your answer of 2/5 hours.I hoped I helped you :)
q square has the perimiter of 38 inches. we want to know the length of each side
At a florist's shop two assistants made 13 flower arrangements in a certain amount of time. Assuming all assistants will work for the same amount of time and each assistant is trained to work at the same rate, how many assistants are needed to make: 195 arrangements
Number of assistants required to make 13 flower arrangements = 2
Let us use unitary method here.
Number of assistants required to make 1 flower arrangements = 2/13
Number of assistants required to make 195 flower arrangements = 2/13 *195 =30
Answer : So 30 assistants are required to make 195 flower arrangements.
A radar gun used to determine the speed of passing cars must be within 7 mph of the actual speed of a selected car. If a highway patrol officer reads a speed of 59 mph for a car, does he have irrefutable evidence that the car was speeding in a 55 mph zone?
if 5ml=1 tsp, how many teaspoons are in 85ml
In August cory begins school shopping for his triplet daughters. one day he bought 10 pairs of socks for $2.50 each and 3 pairs of socks for d dollars each. He spent a total of 135.97 write and solve an equation to find the cost of one pair of shoes
In triangle ABC, <A is a right angle, and m<B = 45°.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
A. 14[tex] \sqrt{2} [/tex] ft
B. 28 ft
C. 14 [tex]\sqrt{3} [/tex] ft
D. 14 ft
Convert 64°F to °C (to the nearest tenth) using one of the following formulas: Fahrenheit to Celsius Celsius to Fahrenheit °C = (°F - 32) × °F = × °C + 32.
HELP!
a. 17.8°
b. 54.2°
c. 72.0°
d. 161.6°
The answer is 17.8° C
Step-by-step explanation:In order to Convert Fahrenheit to centigrade scale we use the formula
°C = (°F - 32) × 5/9
So putting the values in the equation we get
(64°F − 32) × 5/9 = 17.778°C
Michelle plans to make some purchases online this month and is contemplating whether to use her credit card or debit card. The best advice for Michelle would be to use her _____.
a. debit card because if her debit card number is stolen online, she will not be liable for any unauthorized charges
b. credit card because if she cannot pay the balance in full, the total cost of borrowing will be lower with a credit card
c. credit card because if her credit card number is stolen online, she will not be liable for more than $50 of unauthorized charges
d. debit card because if she does not have enough money in her account balance, she can pay the cost off over time
Answer:
Option A.
Step-by-step explanation:
Michelle plans to make some purchases online this month and is contemplating whether to use her credit card or debit card. The best advice for Michelle would be to use her - debit card because if her debit card number is stolen online, she will not be liable for any unauthorized charges.
Under the federal Electronic Fund Transfer Act, one has to pay nothing if there is a loss or theft of the card and he reports immediately and the card has not been used.
its cost $75.00 dollars to rent the laser tag center ,plus 11.50 per person what will be the total cost to rent the laser tag center for 15 people
Answer:
gjilohiklhjkl
Step-by-step explanation:
Will give Brainliest Answer/ 5 stars for correct answer
Let u = <6, -9>, v = <1, -4>. Find u - v.
A) <5, -5>
B) <10, -10>
C) <15, 5>
D) <7, -13>
u - v = <6 - 1, -9 - (-4)> = <5, -5> . . . . . . . matches selection A)
_____
The sum or difference of vectors is simply the sum or difference of corresponding coordinates.
There is only one granola bar left out of a pan of 10 bars. if Will and Rachel decide to split the last granola bar what fraction of the entire pan of granola bars will each friend receive?
QUICKK EXPERTS/ACE/GENIUSES
She has four feet of ribbon, which must be cut into seven equal lengths. How long will each piece of ribbon be after she has finished cutting?
Answer:
?
Step-by-step explanation:
To nearest can't how much will artist save on 112.78 canvas before 5% increase
The artist can save approximately $5.64 by purchasing the canvas before the 5% price increase.
Explanation:The question is asking how much an artist will save on a canvas costing $112.78 before a 5% price increase. To find the cost after the increase, we can first calculate the 5% of $112.78.
So, 5/100 * 112.78 = $5.639
The cost of a canvas after a 5% increase will be $112.78 + $5.63 = $118.42 approximately.
The artist will save the difference between the increased cost and the current cost, which is $118.42 - $112.78 = $5.64 approx.
The artist would save nearly $5.64 if they buy the canvas before the 5% price increase.
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Which answer represents the series in sigma notation?
A computer system requires that passwords contain at least one digit. if eight characters are generated at random, and each is equally likely to be any of the 26 letters or 10 digits, what is the probability that a valid password will be generated?
To calculate the probability of generating a valid password, we need to determine the total number of possible and favorable outcomes. The probability of generating a valid password is the number of favorable outcomes divided by the total number of possible outcomes.
Explanation:To calculate the probability of generating a valid password, we need to determine the total number of possible and favorable outcomes. In this case, there are 36 possible characters (26 letters + 10 digits).
The total number of possible outcomes is obtained by raising the number of characters to the power of the password length, which is 8. So, there are 36^8 possible outcomes.
Now, we need to calculate the number of favorable outcomes. For the password to be valid, it must contain at least one digit. This means we need to consider passwords with 1, 2, 3, 4, 5, 6, 7, or 8 digits. We can calculate the number of favorable outcomes for each case using combinations, and then sum them up.
The probability of generating a valid password is the number of favorable outcomes divided by the total number of possible outcomes.
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There are 50 students in a class and the professor chooses 15 students at random. what is the probability that you or your friend joe are among the chosen students?
Final answer:
The probability that either you or your friend Joe is among the 15 students chosen from a class of 50 can be calculated using combinations and complementary probabilities.
Explanation:
Calculating the probability that either you or your friend Joe is selected at random from a class of 50 students, where 15 students are to be chosen, we must consider all the possible scenarios. The probability can be found by considering the cases in which neither of you is chosen and subtracting that from 1. The calculation goes as follows:
Probability that neither you nor Joe is chosen: This is the number of ways to choose 15 students from the 48 (excluding you and Joe) divided by the number of ways to choose 15 from the entire class of 50.
Calculate the complement: Subtract the probability found in step 1 from 1 to get the probability that either you or Joe is chosen.
Thus, by understanding the complementary probability and the concept of combinations, we can determine the desired probability.
The probability that either you or your friend Joe are among the chosen students is 0.383, or 38.3%.
To determine the probability that either you or your friend Joe are among the 15 students chosen from a class of 50, follow these steps:
Step 1: Calculate the total number of ways to choose 15 students from 50.
The total number of combinations is given by [tex]\( \binom{50}{15} \)[/tex]:
[tex]\[\binom{50}{15} = \frac{50!}{15!(50-15)!}\][/tex]
Step 2: Calculate the number of ways to choose 15 students excluding you and Joe.
If you and Joe are excluded, there are 48 students left. The number of ways to choose 15 students from these 48 is [tex]\( \binom{48}{15} \)[/tex]:
[tex]\[\binom{48}{15} = \frac{48!}{15!(48-15)!}\][/tex]
Step 3: Calculate the probability that neither you nor Joe are chosen.
The probability that neither you nor Joe are chosen is:
[tex]\[P(\text{neither you nor Joe}) = \frac{\binom{48}{15}}{\binom{50}{15}}\][/tex]
Step 4: Calculate the probability that at least one of you is chosen.
The probability that at least one of you is chosen is the complement of the probability that neither of you is chosen:
[tex]\[P(\text{at least one of you}) = 1 - P(\text{neither you nor Joe})\][/tex]
Substituting the values from Step 3:
[tex]\[P(\text{at least one of you}) = 1 - \frac{\binom{48}{15}}{\binom{50}{15}}\][/tex]
Step 5: Calculate the specific numerical values.
Using a calculator or software to find the binomial coefficients:
[tex]\[\binom{50}{15} = 2,118,760,829,220\][/tex]
[tex]\[\binom{48}{15} = 1,307,504,168,685\][/tex]
Thus,
[tex]\[P(\text{neither you nor Joe}) = \frac{1,307,504,168,685}{2,118,760,829,220} \approx 0.617\][/tex]
Finally,
[tex]\[P(\text{at least one of you}) = 1 - 0.617 = 0.383\][/tex]
So, the probability that either you or your friend Joe are among the chosen students is 0.383, or 38.3%.
How do you solve this problem
Jj sell tablets at a store. He earns $180 a week plus$15 for ever tablet he sells. Jj earns $315 last week. Write a equation that can be used to determine the number of computers Jj sold last week. how many was sold
Answer:
so Jj earns a flat rate of 180 per week and an extra 15 per tablet he has sold
so what we need to do is subtract his flat rate(180) from his total(315)
315
-180
____
135 So now we know how much money Jj has earned from selling tablets. But we still need to create an equation and find out how many he has sold.
So we know he get $15 per tablet so 135÷15=9
now we know he has sold 9 tablets
Bu what is our Equation?
well, what were the steps?
TP = total pay
FR= Flat rate
C= Computer profit
PPC= price per computer
#C = number of computers
#C = TP-FR=C C÷PPC=#C
can we simplify this further?
#C = C÷PPC
lets do this:
#C= x
C= y
PPC= z
So: (X = Y÷Z)
Step-by-step explanation:
A patio has the shape of the quadrilateral drawn in the picture below.
1) Find the area of the patio.
2) What is the minimum number of square-tiles with sides of 30 cm that are needed to cover the patio if 10% more tiles will be needed to cover the non-rectangular shape of the patio?
The line segments AC and CE break this quadrilateral into three triangles. The area of a triangle is given by A=1/2bh. The base of ΔADC is 6 and the height is 4.5; A=1/2(6)(4.5)=13.5m².
To find the area of ΔACE, we must first find the length of segment AE. To do this, we will need to know both EC, which we are given, and AC, which we are not. We will use the Pythagorean theorem for ΔADC to find the length of AC.
6²+(4.5)²=(AC)²
36+20.25=(AC)²
56.25=(AC)²
√56.25=√(AC)²
7.5=AC
Now that we know the length of AC, we will use the Pythagorean theorem on ΔACE to find the length of AE:
7²+(AE)²=(7.5)²
49+(AE)²=56.25
49+(AE)²-49=56.25-49
(AE)²=7.25
√(AE)²=√7.25
AE≈2.69
Now we can find the area of ΔACE: A=1/2(7)(2.69)=9.415m²
To find the area of ΔBCE, we need to find the length of EB. We know that AB=9 and AE=2.69. Subtracting those two, we find the length of EB to be 6.31m. Therefore the area of ΔBCE=1/2(6.31)(7)=22.085m²
The total area is given by adding these three together:
13.5+9.415+22.985=45m².
It would take 15 rows of 20 tiles each to cover the rectangular portion of this patio (4.5m*100 =450cm; 450cm/30-cm tiles = 15 rows of tiles; 6m*100=600cm; 600cm/30-cm tiles = 20 tiles per row) which comes out to 300 tiles. However, adding an extra 10% to that:
300*0.1+300=30+300=330 tiles.
A cylinder has a volume of 198 cm^3 and its base has an area of 22 cm^3 what is the height of the cylinder?
The height of the cylinder is 9cm
Data
volume = 198cm^3area = 22cm^2height of cylinder = ?Volume of a cylinderThe formula of volume of a cylinder is given as
[tex]v=\pi r^2h[/tex]
But it also the product of it's base area and it's height
[tex]v = base area * height[/tex]
Let's substitute the values and solve
[tex]198=22*h\\h = 9cm[/tex]
The height of the cylinder is 9cm
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Match the stem and leaf plot below to the correct set of data.
1 ∣ 6 means 1.6
A. 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6
B. 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6, 3.7
C. 6, 5, 5, 1, 1, 1, 1, 1, 1, 6, 6, 6, 5, 5, 5
D. 15, 15, 16, 21, 21, 21, 35, 36
1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6 from the given options, the option (A) is correct.
What is Stem and Leaf Plot?Stem and Leaf Plot is defined as a graph that shows numerical data arranged in order. A stem and leaf plot also called a stem and leaf diagram is a method of arranging data in a way that makes it simple to see how frequently various types of values occur.
Match the stem and leaf plot to the correct set of data.
The set of data that can be created from the given stem and leaf plot using the key 1 | 6 means 1.6 is:
Row 1 contains 1.6, 1.5 and 1.5
Row 2 contains 2.1, 2.1 and 2.1
Row 3 contains 3.6 and 3.5
So the data values are: 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6
Hence, the option (A) 1.5, 1.5, 1.6, 2.1, 2.1, 2.1, 3.5, 3.6 is the correct data set for the given stem and leaf plot.
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y=-3/2x+1
-6x-4y=-4
Solve and graph
Please help me with this question