Answer: In probability theory and statistics, variance is the expectation of the squared deviation of a random variable from its mean, and it informally measures how far a set of (random) numbers are spread out from their mean.
Step-by-step explanation: Hope this helps
4.B.83
How much must be deposited today into the following account in order to have get 35,000 in 5 Years
An account with monthly compounding and an APR of 4%
should be deposited today.
(Do not round until the final answer. Then round to the nearest cent as needed)
Answer:
$ 28,665.11 must be deposited today into the account.
Step-by-step explanation:
Given that there is an account with monthly compounding and an APR of 4%, to determine how much must be deposited today into the following account in order to have $ 35,000 in 5 years, the following calculation must be performed:
X x (1 + 4/12) ^ 5x12 = 35,000
X x (1 + 0.333) ^ 60 = 35,000
X x (1,333) ^ 60 = 35,000
X x 1.220999 = 35,000
X = 35,000 / 1.22099
X = 28,665.11
Thus, $ 28,665.11 must be deposited today into the account.
What is the slope of the line that passes through (1, 4) and (1, −3)? (1 point)
Answer:
undefined
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
Slope of the line
[tex] = \frac{4 - ( - 3)}{1 - 1} [/tex]
[tex] = \frac{7}{0} [/tex]
(undefined)
Notice that the two points have the same x-coordinate of 1. This means that the line is a vertical line, and vertical lines have undefined slopes.
Answer:
Undefined slope
Step-by-step explanation:
(1, 4) and (1, −3)
Slope:
m=(y2-y1)/(x2-x1)
m=(-3-4)/(1-1)
m=(-7)/0
When 0 is the denominator, there's no slope since it's undefined.
Undefined slope
Which is NOT the formula for an area of a rectangle?
Group of answer choices
A = 1/2 X h X (Base 1 + Base 2)
A = L X W
A = bh
A = Base X Height
17. Europa, one of Jupiter's moons, is roughly spherical. The equatorial radius
of Europa is about 1,600,000 meters, and the mass of Europa is about
48,000,000,000,000,000,000,000 kilograms.
a. Find the order of magnitude of the radius r of Europa, and the order of
magnitude of the mass m of Europa.
b. Find the order of magnitude of the volume V of Europa.
c. Use the orders of magnitude of mand V that you found in parts (a) and
(b) to approximate the average density d (in kilograms per cubic meter)
of Europa using the formula d = m.
Answer:
Given
r = 1 600 000 m = 1.6×10⁶ mm = 48 000 000 000 000 000 000 000 kg = 4.8×10²² kga)
Given aboveb)
V = 4/3 πr³ = 4/3*3.14*(1.6×10⁶)³ = 17.14×10¹⁸ ≈ 1.71×10¹⁹ m³c)
d = m / Vd = 4.8×10²² kg / 1.71×10¹⁹ m³ ≈ 2.8×10³ kg/m³hi please help me with this im learning how to play gutiar rn
Answer:
1. 1/3
2. 19/8
Step-by-step explanation:
Choose the item that has measurable volume.
A. an index card
B. a napkin
C. cereal box
D. piece of paper
Volume is a three-dimensional scalar quantity. The item is the cereal box.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.
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What is the exact value of the trigonometric function?
(4 pts)
cos(600)
Answer:
45 man all day long
Step-by-step explanation:
i say 45 because it just is.
i need all of these
Is the solution greater than, less than, or equal to 29?
4(5 + 6) - 15
Answer:
Step-by-step explanation:
4(5 +6) - 15
4(11) - 15
= 44 - 15
= 25
The solution is equal to 29
Answer:
[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]
It's Equal to 29
A new pop-up restaurant serving high-end street tacos just opened and is expected to have high demand based on the chef's prior restaurant experience. The pop-up restaurant has only one window where customers order and receive their food. It takes an average of 5 minutes to serve a customer. There is no seating available so the customer exits the system after receiving their order.
Due to the creative marketing strategy of "hiding" the restaurant location, only 10 customers arrive per hour. There is no specific pattern to the distribution of time between arrivals or service times, but from historical data from prior pop-ups, the coefficient of variation for time between arrivals is 2.58 and service time is 0.75.
1. What type of queuing model is this process?
a. single-channel, multi-phase.
b. multi-channel, multi-phase.
c. single-channel, single-phase.
d. multi-channel, single-phase.
2. How many customers would you expect to find waiting in line?
a. 3.
b. 18.
c. 10.
d. 0.
e. 7.
f. 15.
g. 12.
3. For new customers, how long do they have to wait in total before they leave with their food?
a. 45 minutes.
b. 20 minutes.
c. 50 minutes.
d. 95 minutes.
e. 15 minutes.
f. 100 minutes.
g. 40 minutes.
h. 10 minutes.
i. 0 minutes.
j. 90 minutes.
Answer:
1. c
2. f
3. d
Step-by-step explanation:
This type of queuing model is an example of "single-channel, single-phase" process.
However, from the information given:
The inter-arrival rate = 10 customers per hour
Arrival time = 6 minutes
Service time = 5 minutes
∴
utilization = service time/arrival time
= 5/6
Time on queue [tex]T_q = p \times \dfrac{utilization }{1 - utilization} \times \dfrac{Cv_a^2 -Cv_b^2}{2}[/tex]
[tex]T_q = 5 \times \dfrac{5/6 }{1 -5/6} \times \dfrac{(2.58^2 -0.75^2)}{2}[/tex]
[tex]T_q = 25 \times 3.60945[/tex]
[tex]T_q = 90.24 \\ \\ T_q \simeq 90 \ mins[/tex]
Thus, customer waiting in the queue line is;
[tex]= \dfrac{T_q}{q} \\ \\ = \dfrac{90}{6} \\ \\ \mathbf{=15}[/tex]
Thus, new customers will have to wait in a total time of;
= waiting time + service time
= 90 + 5
= 95 minutes.
READ CAREFULLY! - 50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 779 students in the school, you would expect ______ students in the entire school to prefer Coke. Enter an answer rounded to the nearest whole number.
Answer:12/50 * x/588
Step-by-step explanation:= 141.12
588 - 141.12 = 446.88
I would expect 447 students to prefer Coke.
Hope this helps
Can anyone help with this problem
9514 1404 393
Answer:
A Kite Ahe guessedStep-by-step explanation:
For a quadrilateral in which the diagonals cross at right angles, such as a rhombus or kite, the area can be found as half the product of the diagonals.
For the purpose here, we can ignore the factor of 1/2, which is the same for both, and simply consider the products of the diagonals.
Kite A has an area proportional to (30 in)(30 in) = 900 in².
Kite B has an area proportional to (20 in)(40 in) = 800 in².
Kite A has a larger area, so will use more paper.
__
Only Rudy knows why he chose answer C. Perhaps he guessed, rather than doing any math.
Answer:
A. Kite A
Step-by-step explanation:
To determine which of the two kites will use need more paper to make, find the area of each kite.
Kite A:
Area = (d1*d2)/2
d1 = 30 in.
d2 = 30 in.
Area of kite A = (30*30)/2 = 450 in.²
Kite B:
Area = (d1*d2)/2
d1 = 20 in.
d2 = 40 in.
Area of kite B = (20*40)/2 = 400 in.²
✅Kite A will use more paper to make because it has a greater area of 450 in.² than Kite B (400 in.²).
So, Ruby was wrong. He most likely didn't calculate the area of both kites correctly.
2x +1=x+3 plzzz give the answer
Answer:
x=2
Step-by-step explanation:
Because you Subtract 1 from both sides of the equation
and simplify which will give you 2x=x+2 then subtract Subtract x from both sides of the equation then simplify and you will get your answer x=2
Find the slope and the y-intercept of the graph of y=11+1.5x.
Answer:
Step-by-step explanation:
how does 3.1416 come
Answer:
It is the value of pie(22/7)
The
of a plane is 2.
Answer:
The seat no of a plane is 2
x^2+ 3 has a value of 28. What term in the sequence has a value of 28?
Answer:
5th term
Step-by-step explanation:
x^2 +3 = 28
Subtract 3 from each side
x^2+3-3 =28-3
x^2 = 25
Take the square root of each side
sqrt(x^2) = sqrt(25)
x = 5
(x could be -5, but there are not usually negative terms in a sequence)
Answer:
The value of X1 is -5, X2 is +5.
A personal identification number (PIN)
consists of four digits. Consider the
PIN 0005 equal to the number 5, etc. Find
the probability that a PIN number is:
a equal to 0000
b less than 8000 and more than 7900
c divisible by 10
d at least 13.
Using the probability concept, it is found that there is a:
a) 0.0001 = 0.01% probability that a PIN number is equal to 0000.b) 0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.c) 0.1 = 10% probability that a PIN number is divisible by 10.d) 0.9988 = 99.88% probability that a PIN number is at least 13.What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
A personal identification number (PIN) consists of four digits, and considering they can repeat, the total number of PINs is:
[tex]T = 10^4 = 10000[/tex]
Item a:
A PIN equals to 0000 is one outcome, hence:
[tex]p = \frac{1}{10000} = 0.0001[/tex]
0.0001 = 0.01% probability that a PIN number is equal to 0000.
Item b:
In this interval, there are 8000 - 7900 - 1 = 99 possible values, hence:
[tex]p = \frac{99}{10000} = 0.0099[/tex]
0.0099 = 0.99% probability that a PIN number is less than 8000 and more than 7900.
Item c:
One in ten numbers are divisible by 10, hence:
[tex]p = \frac{1}{10} = 0.1[/tex]
0.1 = 10% probability that a PIN number is divisible by 10.
Item d:
12 numbers, from 1 to 12, are less than 13, hence 10000 - 12 = 9988 are at least 13, hence:
[tex]p = \frac{9988}{10000} = 0.9988[/tex]
0.9988 = 99.88% probability that a PIN number is at least 13.
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0645 + 0745 answer in military time
Answer:
1390
Step-by-step explanation:
Answer:
the answer is 1430 in military time
Step-by-step explanation:
pasagot po thanks............
Answer:
1: 30
2: 90
3: 45 or 30 (what angle is it talking about? The line on the right or the left? It was a bit unclear.. can u comment it?)
4: 90
5: 30+90+45= 165 OR 30+90+30= 150
Pls help :( I’m so stuck in this
Answer:
99.6 ft²Step-by-step explanation:
Three faces are equal triangles with:
base = 8 units, height = 6 ftThe base is a triangle with:
base = 8 ft, height = 6.9 ftSurface area is sum of areas of 4 faces:
S = 3*(1/2*8*6) + 1/2*8*6.9 = 99.6 ft²A dart board measures 6.5 inches from the very edge to the center of the bullseye
I need help
Answer:
a is the wrong answer
Step-by-step explanation:
the area of the circle is 40.8407 in^2
find the general solution and find the specific solutions over the interval [0,4pi]
cos(alpha + pi/3) = (sqrt(3))/2
Answer:
Isolate the angle 2x, by following the reverse "order of operations".
Step-by-step explanation:
Explanation:
Step 1: Add 1 to both sides:
2
cos
2
(
2
x
)
=
1
Step 2: Divide both sides by 2:
cos
2
(
2
x
)
=
1
2
Step 3: Take the square root of both sides:
cos
(
2
x
)
=
√
2
2
or
cos
(
2
x
)
=
−
√
2
2
(don't forget the positive and negative solutions!)
Step 4: Use inverse of cosine to find the angles:
2
x
=
cos
−
1
(
√
2
2
)
or
2
x
=
cos
−
1
(
−
√
2
2
)
Step 5: Find angles that work:
2
x
=
π
4
or
2
x
=
7
π
4
or
2
x
=
3
π
4
or
2
x
=
5
π
4
Step 6: Solve for x:
x
=
π
8
,
7
π
8
,
3
π
8
,
5
π
8
or .785, 5.5, 2.36, 3.93
(decimal approximations are seen on the graph below)
What is the run in the red triangle below? Note the direction of the arrow.
Answer:
The rise over run in the red triangle is
-1/-4
Step-by-step explanation:
y = 1/4x + 4 (This is the equation)
So the opposite of 1/4 is
-1/-4
what is 1 3/4 + 2 2/3 equal to?
Answer:
4 5/12
Step-by-step explanation:
Answer:
1 3/4 + 2 2/3 = 4 5/12
URGENT PLZ HELP
find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm
Answer:
33.4 cm
Step-by-step explanation:
Given:
θ = 31°
Arc length of PR = 9 cm
Required:
Diameter
Solution:
Diameter of the circle = 2*radiius = 2*PQl
Arc length = θ/360 × 2πr
Plug in the values into the equation
9 = 31/360 × 2πr
9 = 0.54r
9/0.54 = r
16.6666667 = r
r = 16.7 cm
Radius = 16.7 cm
Therefore,
Diameter = 2*radius = 2*16.7 = 33.4 cm
it takes 43 pounds of seed to completely plant a 6 acre field How many acres can be planted per pound of seed?
Answer:
0.138 acres per pound of seed
Step-by-step explanation:
find the surface area of this cylinder. geometry hw help
Answer:
301.59 units or 301.6 after rounding
A seafood-sales manager collected data on the maximum daily temperature, T, and the daily revenue from salmon sales, R, using sales receipts for 30 days selected at random. Using the data, the manager conducted a regression analysis and found the least-squares regression line to be Rˆ=126+2.37T. A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales. The standard error for the slope of the regression line is SEb1=0.65. Assuming the conditions for inference have been met, which of the following is closest to the value of the test statistic for the hypothesis test?
a. t=0.274
b. t=0.65
c. t=1.54
d. t=3.65
e. t=193.85
Answer: d
Step-by-step explanation:
t= b1- B0/ SE(b1) = 2.37-0/0.65= 3.646 -> 3.65
The closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a least-squares regression line to be:
R^ = 126+2.37T
A hypothesis test was conducted to investigate whether there is a linear relationship between maximum daily temperature and the daily revenue from salmon sales.
Using a T-test to find the significance of the slope coefficient is measured:
[tex]\rm t = \frac{b}{SE}[/tex]
Here SE = 0.65
b = 2.37
Put this value in the above expression, we get:
[tex]\rm t = \frac{2.37}{0.65}[/tex]
t = 3.6461 or
t = 3.65
Thus, the closest value of the test statistic for the hypothesis test is 3.65 if the least-squares regression line to be Rˆ=126+2.37T option (d) is correct.
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Which set of rational numbers are orders from least to greatest? A) -1, -1 1/2, -1 1/4, -1 7/8 B)-1 7/8, -1 1/2, -1 1/4, -1
C) -1, -1 1/4, -1 1/2, -1 7/8 D) -1 7/8, -1 1/4, -1 1/2, -1
Answer:
-1 7/8, -1 1/2, -1 1/4, -1
Step-by-step explanation:
First note that the negative value closer to zero on the number is greater. an those far from zero will be the least
According to the given option, we can first express the fractions as percentage as shown
-1 7/8 = -15/8 * 100 = -187.5%
-1 1/2 = -3/2 * 100 = -150%
-1 1/4 = -5/4 * 100 = -125%
-1 = -1 * 100 = -100%
Based on the explanation above, the least value is -187.5% and the greatest value is -100%
Rearranging from least to greatest is expressed as -187.5%,-150%, -125%, -100%
According to their respective fractions;
-1 7/8, -1 1/2, -1 1/4, -1