The correct answer is option D. The covariance between securities a and b is 195.
To calculate the covariance between securities a and b, we can use the formula:
covariance = correlation coefficient * standard deviation of security a * standard deviation of security b
Plugging in the given values, we get:
covariance = 0.65 * 12 * 25 = 195
Therefore, the answer is (d) 195.
The covariance between two securities measures the extent to which the two securities tend to move together. A positive covariance indicates that the securities tend to move in the same direction, while a negative covariance indicates that the securities tend to move in opposite directions.
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EspaoTo rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.60 per hour. The film club wants to spend at most $77.00on renting the meeting roomWhat are the possible amounts of time for which they could rent the meeting room?Use for the number of hours the meeting room is rented, and solve your inequality for t.
If 1 hour cost $5.60, then t hours cost 5.60t dollars. Adding the reservation fee of $49, the total cost is 49 + 5.60t dollars. The film club wants to spend at most $77.00, then:
49 + 5.60t ≤ 77
5.60t ≤ 77 - 49
t ≤ 28/5.60
t ≤ 5
They can rent the meeting room for at most 5 hours.
what is the slope of a line perpendicular to 3x+2y = 7?
Answer:
2/3
Step-by-step explanation:
First find the slope of the line
3x+2y = 7
Subtract 3x
2y = -3x+7
Divide by 2
y = -3/2x +7/2
This is in slope intercept form y = mx+b where m is the slope
The slope is -3/2
A line perpendicular is the negative reciprocal
-1/(-3/2)
2/3
The slope of the perpendicular line is 2/3
Answer:
Slope of the line perpendicular to the given line = 2/3
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
That is,
\(slope_{1} \times slope _ 2 = - 1\\\)
Given equation of the line :
3x + 2y = 7
2y = - 3x + 7
\(y = -\frac{3}{2}x + \frac{7}{2}\)
\(Therefore, \ slope \ of \ the \ given \ line \ , slope _1 = \ -\frac{3}{2}\)
Find slope of the line perpendicular to the given line:
\(\frac{-3}{2} \times slope_2 = - 1\\\\slope_2 = - 1 \times \frac{2}{-3} = \frac{2}{3}\)
Als antifreeze makes three types of antifreeze Al's Special Blend which contains 54% ethylene glycol, Al's Deep Freeze which contains 72% ethylene glycol, and Al's Lite which contains 28% ethylene glycol. How many gallons of each antifreeze should Al mix to make 600 gallons of Al's Old Fashioned Antifreeze which is 44% ethylene glycol, if he is required to use twice as much of Al's Special Blend as of Al's Deep Freeze.
Emily, this is the solution:
• Special blend = 54% or 0.54 ethylene glycol (Twice as much as Deep freeze)
,• Deep freeze = 72% or 0.72 ethylene glycol
,• Lite = 28% or 0.28 ethylene glycol
We want 600 gallons of Old Fashioned Antifreeze 44% ethylene glycol
Let x to represent the number of gallons of Deep freeze, therefore:
0.72x + 0.54 (2x) = 600 (0.44)
0.72x + 1.08x = 264
1.8x = 264
Dividing by 1.8 at both sides:
1.8x/1.8 = 264/1.8
x = 146.7 (Gallons of Deep freeze)
2x = 293.4 (Gallons of Special blend)
Let's prove our answer is correct:
146.7 (0.72) + 293.4 (0.54) = 600 (0.44)
105.624 + 158.436 = 264
264 = 264
Our answer is correct. We need 146.7 Gallons of Deep freeze and 293.4 Gallons of Special blend.
Find the exact value of x
Answer:
Step-by-step explanation:
"x" is geometric mean
x² = 4 × 16
x² = 64
x = 8
Tickets for The Phantom of the Opera cost $6 for children and $12 for adults. A local school group paid $252 for 36 tickets. How many of each did they purchase?
determine the total number of kilograms from 15 boxes
(100 points!!!)
Martin has a very limited wardrobe. He has four pairs of pants: one blue, one green, one tan, and one white. He also has five shirts: two blue, one white, one green and one green and tan striped.
a. Create a probability table representing Martin's possible outfits. put it on paper or something you could write in, put the pic on this question on brainly
b. If Marten closes his eyes and picks a shirt and a pair of pants at random, what is the probability he will be wearing
i. green pants and a blue shirt?
ii. tan pants and a white shirt?
iii. white pants and white shirt?
Answer:
this will probably help
Step-by-step explanation:
Tyrone has already typed 100 words for an
essay and can type 35 words per minute.
Vanessa has already typed 120 words and
can type 30 words per minute. In how
many minutes will Tyrone and Vanessa
have typed the same number of words?
Answer:
x=4
Step-by-step explanation:
Based on the given conditions, formulate: 100+35*x=120+30*x
Rearrange unknown terms to the left side of the equation:35x-30x=120-100
Combine like terms: 5x=120-100
Calculate the sum or difference: 5x=20
Divide both sides of the equation by the coefficient of variable: x=20/5
Cross out the common factor: x=4
get the result: x=4
Answer: x=4
(10 points worth + il give brainliest to first answer) ivy is building a new L shaped desk for her room. she wants to make sure it is large enough to hold all her supplies The dimensions of the desk and feet are shown on the diagram which is the area of the desk?
we separate the figure
find the area of each shape
\(\begin{gathered} A=w\times l \\ A=2\times5 \\ A=10 \end{gathered}\)First area is 10 square ft
\(\begin{gathered} A=w\times h \\ A=6\times2 \\ A=12 \end{gathered}\)second are is 12 square ft
Add areas to find total area
\(10+12=22\)total area of the desk is 22square ft
\(22ft^2\)The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
What is the slope of the line that passes through the points (3, -9) and (-2, 16)?
Answer:
-5
Step-by-step explanation:
the slope is change in y over change in x and when y goes down 25 x goes up 5
-25/5=5
The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.
9514 1404 393
Answer:
(x -3) +(x -1) +(x +1) +(x +3) = -72-21, -19, -17, -15Step-by-step explanation:
Let x represent the even integer between the middle two odd integers. Then the sum of the four odd integers is ...
(x -3) +(x -1) +(x +1) +(x +3) = -72
4x = -72
x = -18
The four integers are -21, -19, -17, -15.
_____
Additional comment
You could let x represent one of the integers. Often, people choose to let it represent the least of them. Then the equation becomes x +(x+2) +(x+4) +(x+6) = -72, so 4x = -84 and x = -21. This introduces a "subtract 12" step in the solution process that is unnecessary if x is chosen to be the average of the integers.
As the average, x is the sum divided by the number of them, so you know x=-72/4 = -18 immediately. Then you just have to find the nearest two odd integers below and above -18. You can do the whole problem mentally.
87,521 rounded to the nearest hundred
Answer:
87,500
Step-by-step explanation:
Since the last 2 digits arent 5 or greater than 5 it can not be rounded to the next hundred.
Answer:
875
Step-by-step explanation:
th t h t u
8 7 5 2 1
the hundred is 5 so the next digit after that is 2 remember 0 to 4 round down 5 to 9 round up
so 875
A normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95. Find the z-score of 235.90.
The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The standard deviation, d = 182.56,
The mean, m = 265.95,
The observation value, X = 235.90
Calculate the z score by the following formula given below,
Z = (X - m) / d,
Here, Z is the Z score,
Z = 235.90 - 265.95 / 182.56
Z = -0.165
Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
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Middle School Math - Problem Solving and Discovery (7-8)
Directions: Use a systemic list to solve the following problems. Make sure to show all of your work!
1. Rides Tickets: Marcy had $10.00 to spend at the state fair. She spent all of it on the ride tickets. The
rides cost either $0.50, $1.00, or $1.25 each. What are all the possible ways in which she spent her
money?
Answer:
10
Step-by-step explanation:
i add the n subtrasct
the i east
foodooodododo]
999937
3;33
As part of her role on the planning committee for the high school prom, Keisha hired
a DJ. The DJ charges $150 per hour for performing plus a $100 flat fee for setup and
takedown. The committee budgeted $1000 for a DJ for the prom. Which of the
following represents the number of performing hours, x, for which the DJ could be
hired to stay within the committee budget.
A) x is less than or equal to 6
B) x is greater than or equal to 6
C)x is less than or equal to 7
D) x is greater than or equal to 7
x ≤ 6
which is A
or if not then it's B for
x ≥ 6
the sum of 8.23, 7.96 and 17.65
Answer:
इएइहेइएबे!!न्बेओएहेजेने
a standardized test has 125 questions with a total of 1300 points
Answer:
Ummmm.... Whats your qustion???? Im confused...
Step-by-step explanation:
Arthur has completed four times as many jigsaw puzzles as Conan. Doyle has completed three times as many jigsaw puzzles as Conan. Doyle has completed 12 fewer jigsaw puzzles than Arthur has. How many jigsaw puzzles has Conan completed?
Canon has 12 jigsaw puzzles in total.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Let us say puzzles solved by :
Arthur be x
Conan be y
Doyle be z
also,
Here, it is given that :
Arthur has completed four times as many jigsaw puzzles as Conan which means :
x = 4y.......(1)
Doyle has completed three times as many jigsaw puzzles as Conan which means :
z = 3y.....(2)
Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :
z = x-12....(3)
now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :
3y = x-12
3y = 4y-12
4y-3y = 12
y = 12
Therefore, Canon has 12 jigsaw puzzles in total.
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Information for Questions 5-7: The Annual Survey of Colleges in the U.S. also reports on the average amount of student loan debt by state. The most recent data by state showed an approximately normal shape with a minimum average amount of
$19,000
and a maximum average amount of
$38,000
. Use the minimum and maximum value and the normal shape to estimate the mean and standard deviation of the data for the 50 states. (Mean and standard deviation have been rounded to the nearest
$100
.) a. mean
=$25,000;
standard deviation
=$3,500
b. mean
=$26,800;
standard deviation
=$2,100
c. mean
=$26,800;
standard deviation
=$3,700
d. mean
=$28.500;
standard deviation
=$1,800
e. mean
=$28,500;
standard deviation
=$3,200
A federal study of student loan debt plans to focus on those states with the highest amounts of student loan debt. The study plans on targeting those states that fall in the top
2.5%
in terms of average student loan amounts. What is the cutoff point that would place a state in the top
2.5%
based on student loan debt? (Use the mean and standard deviation estimates from Question #5.) a.
$38,100
b.
$34,900
c.
$31,700
d.
$32,500
e.
$22,100
The correct answer is $34900.
X : Average amount of loan of student debt by state .
X = N ( μ = $28500 , σ² = ( 3200 )² )
To find : What is the cutoff point that would place a state in top 2.5%
Let it be X
P( X > x ) = 0.025
P(X-μ/σ > X - 28500/3200) = 0.025
P(z >Z ) = 0.025
1 - P(z<Z ) = 0.025
P(z<Z ) = 0.975
φ(z) = 0.975
Z = φ⁻¹(0.975)
X - 28500/3200 = 1.96
X = 34772
i.e; P(X > 34772) = 0.025
Since, it is nearly equal to $34900 option b is correct.
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Lily deposited $500 in a savings account. At the end of 1 year, she had eamed $20 in simple interest What interest rate did she receive?
Answer:
4% compounded yearly
Step-by-step explanation:
20 / 500 = 0.04
0.04 * 100 = 4%
Evaluate the expression.
8 x -9 = 6 x -8
1 upon 2
make me as brienliesr
Find the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
If a toaster produces 12ohms of resistance in a 120-volt circuit. What is the amount of current in the circuit
Answer:
10 amps.
Step-by-step explanation:
According to Ohm's Law, V=IR, and, dividing both sides by R, we have \(V/R=I\), where V is the amount of volts, R is the amount of resistance, and I is the current in amps.
Plugging the values into the formula, we have \(120/12 = 10\).
Therefore, there is 10 amps of current in the circuit.
Joshua Kelly estimates that taking some classes would result in earning $11,100 more a year for the next 20 years. Based on an annual
interest rate of 8 percent, calculate the future value of these classes. Use Exhibit 1-B. (Round time value factor to 3 decimal places
and final answer to 2 decimal places.)
Answer:
$507 958.20
Step-by-step explanation:
11 100 x table value for 20 years , 8%
11,100 x 45.762 = $ 507,958.20
A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment
Answer:
35
Step-by-step explanation:
Given that :
Number of balls = 8
Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)
Possibilities unt a blue ball is picked :
B, RB, GB, RRB, RGB, GRB, G
Draw 1 = B = 1
Draw 2 = B = 2C1 = 2
Draw 3 = B = 3C2 = 3
Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4
Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5
Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6
Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7
Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7
Taking the sum:
(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35
There are 35 elements in the sample space
How is multiplying 3/9 and 6/9 different from adding the two fractions
By multiplying the two fractions we get 2 / 9, and by adding we get 1.
In arithmetic, a product is the result of multiplication or an expression that identifies elements to be improved.
In math, multiply the method to add equal corporations. Whilst we multiply, the range of factors in the institution will increase. the two factors and the product are parts of a multiplication problem. Within the multiplication trouble, 6 × 9 = 54, the numbers 6 and 9 are the factors, at the same time as the range 54 is the product.
Multiplication is defined as calculating the end result of repeated additions of two numbers. An instance of multiplication is 4 instances 2 equals 8.
By multiplying the two fractions,
= 3 / 9 * 6 / 9
= 2 / 9
By adding the two fractions,
= 3 / 9 + 6 / 9
= 9 / 9
= 1
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Simplify the following expression.
4(8c + 4)
C +
Answer:
32c + 16
Step-by-step explanation:
\(4(8c + 4)\)
\(4 \times 8c + 4 \times 4\)
\(32c + 4 \times 4\)
\( = 32c + 16\)
What expression makes the equation true? (Photo found below)
1. A cell phone plans costs $30.35 a month plus and additional $3.00 per music download.
a. Write an expression to find the cost if “m” songs downloaded