Answer:
$24.20
amount invested = $356
Interest = $44
Step-by-step explanation:
Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Simples interest = amount invested x time x interest rate
400 x 0.065 x 1 = $24.20
b. interest = amount received - amount invested
Amount invested = amount received / (1 + r)^n
r = interest rate
n = number of years
400 / (1.06)^2 = 356
Interest = 400 - 356 = $44
On average, the shoppers across McMaster Univerisity have 2 customers per hour and assuming that for the next hour the number of customers denoted by X, follows a Poisson Distribution. Find the probability that at least two customers are there for the next hour.
Answer:
0.5940 = 59.40% probability that at least two customers are there for the next hour.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
On average, the shoppers across McMaster Univerisity have 2 customers per hour
This means that [tex]\mu = 2[/tex]
Find the probability that at least two customers are there for the next hour.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]
[tex]P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1353 + 0.2707 = 0.4060[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4060 = 0.5940[/tex]
0.5940 = 59.40% probability that at least two customers are there for the next hour.
Solve a,b,c,d and e.
Answer:
Step-by-step explanation:
a)
428721
Place of 2's 10s and 10,000s
Therefore its value is 20 and 20,000
Product of the place value = 20 x 20,000 = 4,00,000
b)
37,20,861
Place of 7 is 1,00,000
Therefore the place value is 7,00,000
c)
Greatest 7 digit number is 99,99,999
Adding 1 to it = 99,99,999 + 1 = 1,00,00,000
d)
85642 = 80000 + 5000 + 600 + 40 +2
e)
round off 85642 to nearest thousand = 86,000
Xavier shoots a basketball in which the height, in feet, is modeled by the equation,h(t) = -4t2 + 10 + 18, where t is time, in
seconds. What is the maximum height of the basketball?
Answer:
The maximum height of the basketball is of 24.25 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Height of the basketball:
Given by the following function:
[tex]h(t) = -4t^2 + 10t + 18[/tex]
Which is a quadratic function with [tex]a = -4, b = 10, c = 18[/tex]
What is the maximum height of the basketball?
y(in this case h) of the vertex. So
[tex]\Delta = b^2-4ac = 10^2 - 4(-4)(18) = 388[/tex]
[tex]y_{v} = -\frac{388}{4(-4)} = 24.25[/tex]
The maximum height of the basketball is of 24.25 feet.
Elena is going to a farmer's market for fresh produce. She has two markets to
choose from and hopes to buy both cherries and asparagus. The table shows
the probability that each type of produce will be available at the markets.
North market
South market
Cherries
0.6
0.5
Asparagus
0.85
0.84
Assuming that the availability of cherries and the availability of asparagus are
independent of each other, which market should Elena choose to maximize
her chance of buying both?
A. South market. There is a 0.42 probability of both cherries and
asparagus being available.
B. North market. There is a 0.3 probability of both cherries and
asparagus being available.
c. South market. There is a 0.3 probability of both cherries and
asparagus being available.
D. North market. There is a 0.51 probability of both cherries and
asparagus being available.
Answer:
D (north, .51)
Step-by-step explanation:
since the numbers are higher for north, it is the right answer.
.6*.85=.51
D. North market. There is a 0.51 probability of both cherries and asparagus being available.
What is independent events ?If the incidence of one event does not affect the probability of the other event then the events are independent of each other and called independent events.
Now, if A and B be two events which are independent,
then P(A∩B) = P(A)×P(B)
How to find which market Elena choose to maximize her chance of buying both?In the table in given problem, the probability of cherries and asparagus are higher for north market.
For the north market,
The probability of produce cherries = P(A) = 0.6
The probability of produce asparagus = P(B) = 0.85
where A and B are the events of produce cherries and asparagus respectively.
Here, A and B are independent events.
Then probability for maximize her choice is P(A∩B) = P(A)×P(B)
= 0.6×0.85
= 0.51
∴ Elena choose north market to maximize her chance of buying both and the probability is 0.51
Learn more about independent events here :
https://brainly.com/question/11890324
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7 degrees per millisecond converted to 7 degrees per second
Step-by-step explanation:
find the arithmetic mean of given data 12 15 18 20
HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :)
Find the volume of the prism.
Answer:
B. 864 mm³
Step-by-step explanation:
Volume = area base x height
Area base = 48
Height = 18
Multiply:
48 x 18 = 864
Units are mm³
Answer = 864 mm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The volume of the prism is 864 cubic units.
To calculate the volume of a prism, we use the formula: Volume = Area of Base x Height. In this case, the area of the base is given as 48 square units, and the height is given as 18 units.
To find the volume, we multiply the area of the base by the height:
Volume = 48 x 18 = 864 cubic units.
Therefore, the volume of the prism is 864 cubic units. Since the base area is given in square units and the height is given in units, the volume is expressed in cubic units. In this case, the units are mm³ (cubic millimeters).
Thus, the proper calculation yields a volume of 864 mm³.
To know more about volume:
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How do I do this?? Help plse!
PLEASE HELP LAST THING I NEED ON MATH
WILL GIVE BRAINLIEST, THANKS AND 5* VOTE
TROLL = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTED
Answers:
side a = 12.3 unitsangle B = 100 degreesside b = 15.8 units===========================================================
Explanation:
Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.
Let's use the given angles to find the missing angle B
A+B+C = 180
50+B+30 = 180
B+80 = 180
B = 180-80
B = 100
Now we can apply the law of sines to find side b
b/sin(B) = c/sin(C)
b/sin(100) = 8/sin(30)
b = sin(100)*8/sin(30)
b = 15.7569240481953
b = 15.8
Make sure your calculator is in degree mode.
----------------------------
We'll do the same thing to find side 'a'
a/sin(A) = c/sin(C)
a/sin(50) = 8/sin(30)
a = sin(50)*8/sin(30)
a = 12.2567110899037
a = 12.3
Both values for 'a' and b are approximate (even before rounding).
-----------------------------
Extra info (optional)
As you can probably tell or guess, the phrasing "solve the triangle" means "find all sides and angles".Notice how if we erase the question marked sides and angles of the original drawing, we're left with something in the AAS case. Meaning that exactly one triangle is possible here. We don't have to worry about any ambiguous case.If you wanted, you could apply the law of cosines rule after you determine two sides and an included angle between them. This will yield the length of the side opposite the angle.Answer:
B=100
b=15.7
a=12.25
Step-by-step explanation:
first find the missing angle:
B=180-50-30
B=100
then use the law of sines:
[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]
then
[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]
use the same way to find the other side
[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years. Approximate the population of the town 5 years from now.
________ residents (round to nearest whole number)
{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that [tex]A(0) = 2463, n = 12[/tex]. So
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
Approximate the population of the town 5 years from now.
This is A(5). So
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]
Rounding to the nearest whole number, 3893 residents.
A journalist releases a monthly sports column. Patrons can get either an electronic subscription or a paper subscription. The expression 325(1.03)x represents the number of electronic subscriptions after x months. The expression 345(0.97)x represents the number of paper subscriptions after x months. Which expression reveals the approximate rate of change for the ratio of the number of electronic subscriptions to the number of paper subscriptions?
(1.06)x
(1.66)x
(0.86)x
(0.94)x
Answer:(1.06^x)
Step-by-step explanation:
On a Ford assembly line, each worker
A.) moved from station to station.
B.) was responsible for several different tasks.
C.) performed the same task over and over.
D.) built at least one car each day.
Answer:
d
Step-by-step explanation:
Convert 6 qt/min to gallons per hour
Answer:
90
Step-by-step explanation:
See image below:)
How can you find the y-coordinates of the midpoint of a vertical line segment with endpoints at (0,0) and (0,-12)? Check all that apply.
A. add the endpoints
B. divide 12 by 2
C. divide -12 by 2
D. multiply -12 by 2
A 45°-45°-90° triangle has a hypotenuse that is 16‾√ 2 cm long. Each leg of the triangle is ___ cm long
Answer:
16 cm.
Step-by-step explanation:
in order to calculate the required leg of the given triangle it is possible to use the formula: leg=hypotenuse / √2.
according to the formula above the required leg is: 16 cm.
What is the slope of the line that contains the points (-2, 5) and (6, -3)?
Answer:
-1
Step-by-step explanation:
(-2 , 5) = (x1 , y1)
(6 , -3) = (x2 , y2)
slope of a line = y2 - y1/x2 - x1
=-3 - 5/6 - (-2)
=-8/6+2
=-8/8
=-1
therefore slope of a line is -1.
9.
slove this question
Answer:
[tex]\sqrt{x^2 + y^2}[/tex]
Step-by-step explanation:
to find diatance between AB
A(0 , 0) = (x1 , y1)
B(x , y) = (x2 , y2)
distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(x - 0)^2 + (y - 0)^2}[/tex]
=[tex]\sqrt{x^2 + y^2}[/tex]
The values for three sets of data are shown below.
Data
Data Set
Values
1
42, 48, 50, 88, 49
2
63, 29, 35, 28, 30
3
2, 5, 3, 8
Without calculating any statistics, Anna knows that data set 3 would have the least mean absolute deviation among the three sets. Which statement explains how she knows?
Sets 1 and 2 contain outliers.
Set 3 has the least mean.
Set 3 contains an outlier.
Sets 1 and 2 have an odd number of values.
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Answer:
it seems like you already have this answered?
Answer:
data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.
Step-by-step explanation:
The mean absolute deviation is a measure of spread of the data.
If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.
if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.
We are given three data set as:
set- 1 42, 48, 50, 88, 49
set- 2 63, 29, 35, 28, 30
set- 3 2, 5, 3, 8
Hence, we could observe that the data values in set 1 and set 2 are widely spread.
In set-1 the data value 88 is much higher value as compared to other data values.
Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.
Whereas in set-3 the data values are all closely related and there is not much spread in the data.
Each edge of a cube is 9 centimeters long. Find the total length of all the edges of the cube.
Answer:
108 centimeters
Step-by-step explanation:
There are 12 edges total.
9 x 12 = 108
Exercise 5.2
Which of the capital letters of the English alphabet are symmetrical?
Answer:
The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX
Step-by-step explanation:
hope it helps
Write the equation of a line that meets all the following requirements:
Has an x-intercept at (5,0)
Has a negative slope
Write the equation in Standard Form
Write the equation is Slope-Intercept Form
Explain
How you know your line has an x-intercept of (5,0)
How you know your line has a negative slope
How you converted from one form to the other
9514 1404 393
Answer:
x + y = 5y = -x + 5Step-by-step explanation:
We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...
y -0 = -1(x -5)
Simplifying gives the slope-intercept form:
y = -x +5 . . . . . . . use the distributive property to eliminate parentheses
Adding x to both sides gives the standard form:
x + y = 5
__
Explanation
We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.
hey circular plot of land has a diameter of 14 yards what is the area of the land use 3.14 for pie
Answer:
153.86 yards²
Step-by-step explanation:
A(Circle) = πr² where r = radius.
r = d/2 where r = radius and d = diameter.
r = 14/2 = 7 yards.
(3.14)(7)² = (3.14)(49) = 153.86 yards²
Classify the quadrilateral.
Answer:
Step-by-step explanation:
An answer should never depend on a diagram. The figure has 4 equal sides which means that it could be a square or a rhombus because both have 4 equal sides.
The question does depend on a diagram. Because the figure is leaning a little to the left, you should answer that it is likely a rhombus. You should object to the question.
What is the Area of the shaded portion in the square.
Step-by-step explanation:
Area of the squre is pi -360/2
(a) A color printer prints 23 pages in 7 minutes. How many minutes does it take per page? minutes per page
7 min = 23 pages
To find out the amount of time the color printers to print one page we need to do 7/23 min.
Answer: 7/23
A variable expression cannot consist of numbers or operstions. true false
Answer:
False
Step-by-step explanation:
A variable expression can contain numbers (that work alongside the variables) and operations (that describe how the numbers and variables interact)
Translate and solve: 639 is what percent of 142?
Answer:
450
Step-by-step explanation:
639/142= 4.5 times 100
Find the area of the parallelogram
A) 37.12 square units
B) 14.5 square units
C) 29 square units
D) 32 square units
Answer:
C 29 square units
Step-by-step explanation:
a = bh
a = 5.8 * 5
a = 29 square units
Answer:
C 29 square units
Step-by-step explanation:
a = bh
multiply
5.8 * 5
29 square units
hope this helps :)
3. Simplify, 27+3]{14-3(15-5) -53-51-19
Answer:
-4170
Step-by-step explanation:
Given:
[27+3]{14-3(15-5) -53-51-19}
30{14-3(10)-123}
30{14-30-123}
30*(-139)
-4170
Answer is -4170
using factoring what is the solution to the equation 2x^2+3x-5=0
Answer:
Option B. ( x=1,-5/2 Or x=-5/2,1)
Step-by-step explanation:
2x2+3x−5=0
Step 1: Factor left side of equation.
(2x+5)(x−1)=0
Step 2: Set factors equal to 0.
2x+5=0 or x−1=0
x=−5/2 or x=1
(The Answer you can just switch it around but dont worry its still the same answer nothing change...)