There are 30 girls and 10 boys
When Bashir commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be shorter than 32 minutes, to the nearest 10th?
A percentage of his commute that would be shorter than 32 minutes, to the nearest 10th is equal to 50%.
How to determine the required percentage?Mathematically, the z-score of a given sample size or data set can be calculated by using this formula:
Z-score, z = (x - μ)/σ
Where:
σ represents the standard deviation.x represents the sample score.μ represents the mean score.Substituting the parameters into the z-score formula, we have;
Z-score, z = (32 - 32)/3
Z-score, z = 0/3
Z-score, z = 0
Since a commute of 32 minutes on a test corresponds to a z-score of 0, the percentage of the commute will be shorter than 32 minutes is given by:
P(x > 32) = P(z > 0)
P(z > 0) = 0.5
P(z > 0) = 50%.
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Write an equation for the graph above
Answer:
y = 1/2x + 0
Step-by-step explanation:
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. Are the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the Large Counts Condition is not met. No, the randomness condition is not met.
Answer: The conditions for inference are met in this scenario.
In order to use inference to determine if the true proportion of American adults who work more than one job differs from 12%, the following conditions must be met:
The sample must be randomly selected from the population.
The sample size must be large enough (usually at least 30).
The sample must be representative of the population.
In this case, it is stated that a random sample of 100 American adults was selected, which meets the first condition.
The sample size of 100 is also large enough, which meets the second condition.
There is no information given about whether the sample is representative of the population, but this is not necessary for the conditions for inference to be met.
Therefore, the conditions for inference are met in this scenario.
Step-by-step explanation:
suki has 54 rock songs 92 dance songs and 12 classical songs on her playlist what is the probability that the song will not be classical song
Answer:
The probability that the chosen song is not a classical song is 92.4%.
Step-by-step explanation:
Given that Suki has 54 rock songs, 92 dance songs and 12 classical songs on her playlist, to determine what is the probability that the chosen song will not be a classical song, the following calculation must be performed:
54 + 92 + 12 = 158
158 - 12 = 146
158 = 100
146 = X
146 x 100/158 = X
14600/158 = X
92.4 = X
Therefore, the probability that the chosen song is not a classical song is 92.4%.
Answer:
92.4
Step-by-step explanation:
Solve for B. Enter the number that goes under the radical Symbol
The number that goes beneath the radical is 7
What is the Pythagoras theorem?The Pythagoras theorem is used to find side or angle of a right angled triangle.
If you are dealing with any right triangle with given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.
Note that the Pythagorean Theorem: is a²+b²=c²
a and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).
This impies in this case, that we have 4 equivalent right triangles with given sides and for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.
The Pythagoras Equation is a²+b²=c²
Where a=3, b =? c=4
Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.
a²+b²=c²
⇒b²=c²-a²
a=√(c²-a²)
Plug in our given values and solve for .
a=√(4²-3²)
a=√(16-9)
a=√7
Conclusively, the radical number that goes beneath 7
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Complete question :
The complete question is found on the attachment
Mean of 8, 3,5
and mean of 44,89,23
Answer:
mean of 8,3,5 = 5.333 or 16/3
mean of 44,89,23 = 52
Step-by-step explanation:
Answers and step-by-step explanations:
To find the mean, first, we are going to add all of the numbers, and divide by how many numbers there were. The first data set is:
8, 3, 5
Add them all up:
8 + 3 + 5 = 16
Then, since there were three numbers, we divide 16 by 3.
16/3 = 5.33
Therefore, the mean of 8, 3 and 5 is around 5.33.
The second data set is:
44, 89, 23
Add them up:
44 + 89 + 23 = 156
Then, divide it by how many numbers there were, which is 3.
156/3 = 52
Therefore, the mean of 44, 89 and 23 is 52. Hope this helps!
WILL MARK BRAINLIEST
M
Answer:
∠BEC = 119°
Step-by-step explanation:
∠BAC = 47° because it is an alternate interior angle to 47°
∠BEA = 180 - 47 - 72 = 61°
∠DEC = ∠BEA because they are vertical angles
∠BEC = ∠DEA because they are vertical angles
∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°
∠BEC + ∠DEA + 61 + 61 = 360°
∠BEC + ∠DEA = 238°
since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°
write 4/27 as the product of a prime raised to a power
Answer:
write 4/27 as the product of a prime raised to a power
the driving distance fom pongola to piey retief alongN2is 105km if a taxi driver at an average speed of 80KM /H calculate the time per minutes
Answer:
78.75min
Step-by-step explanation:
t=S/v
105km/80km/hr
=1.3125hr
1.3125hr =78.75min
What about this one
Answer:
$9,167
Step-by-step explanation:
One angle is a right angle
Answer:
an angle with 90 degree is a right angle
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?
$33,672.68
$34,157.04
$33,299.42
$34,710.88
$34,389.55
The requried, Mark will have paid a total of $34,389.55 after 5 years. The answer is option E, $34,389.55.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
We can use the formula for compound interest to find the total amount Mark will have paid after 5 years:
[tex]A = P(1 + r/n)^{(nt)}[/tex]
where A is the total amount paid, P is the principal (the original loan amount), r is the annual interest rate (as a decimal), n is the number of times per year the interest is compounded, and t is the time in years.
In this case, we have:
P = $25,690
r = 0.052 (5.2% expressed as a decimal)
n = 12 (compounded monthly)
t = 5
Substituting these values into the formula, we get:
[tex]A = $25,690(1 + 0.052/12)^{(12*5)}[/tex]
A = $34,389.55
Therefore, Mark will have paid a total of $34,389.55 after 5 years. The answer is closest to option E, $34,389.55.
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the value of polynomial 5x - 4x square +3 when x=1
Step-by-step explanation:
[tex]5x - 4 {x}^{2} + 3[/tex]
[tex]5(1) - 4 {(1)}^{2} + 3 \\ 5 - 4 + 3 = 4[/tex]
Step-by-step explanation:
Solution:Given polynomial
5x - 4x² + 3
put x = 1
→ 5(1) - 4(1)² + 3
→ 5 - 4(1) + 3
→ 5 - 4 + 3
→ 8 - 4
→ 4.
helppp...........................math
Anwita and her sister have $230 in total. Anwita has x dollars and her sister has 20
less than quadruple what Anwita has. How much more money does Anwita need to
have the same amount as her sister?
Answer:
$130
Step-by-step explanation:
x (the $ Anwita has) + y (the $ her sister has) = 230
y = 4x - 20
=> x+y=230 => x + 4x - 20 = 230
=> 5x - 20 = 230 => 5x = 250
=> x = 50
=> y = 180
the difference between 180 and 50 (180 - 50) is 130.
so, Anwita needs $130 more to have the same amount as her sister.
What is the growth factor of the following example? Assume time is measured in the units given.
A diamond mine is depleted by 1% per day.
a. 1.01 per day c. 0.99 per day
b. 0.01 per day d. 99 per day
Please select the best answer from the choices provided.
Answer:
C. 0.99 per day
Step-by-step explanation:
I calculated it logically
Give an example of a polynomial that is a perfect square. How do you know that it is a perfect square? Give its factored form.
Answer:
Step-by-step explanation:
A polynomial is a perfect square if has the form:
[tex]a^2+2ab+b^2[/tex]
Its factored form is [tex](a+b)^2[/tex].
We can obtain examples by taking any value of a and b.
For example:
[tex]a=x[/tex] anb [tex]b=2y[/tex].
Thus we obtain a polynomial that is a perfect square:
[tex]x^2+2(x)(2y)+(2y)^2=x^2+4xy+4y^2[/tex]
Can someone Help me please
Answer:
Lower quartile= 4
Middle quartile= 6
Upper quartile=8
What is 31.83098862 to the nearest square inch ? Please help
Answer:
32
Step-by-step explanation:
The number to the right of the decimal is higher than 5, meaning you would round up.
Which choice is equivalent to the expression below?
810
O A. 92
O B. 1
O C. 81
O D.O
Answer:
B) 1
Step-by-step explanation:
any number (except zero) raised to the zero power is equal to 1
Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi
On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter
here,
D= 1
r = 1/2 = .5
A = 40
T = 40/10 4 hrs.
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Is it possible to scan a screenshot?
To be honest i dont know but u can try to find something like that to help u ?
El pepe el pepe el pepe
Answer:
um-
Step-by-step explanation:
8th-grade mathematics
Answer:
1072.33 cm^3
Step-by-step explanation:
formula
(2/3)*pi*(r)^3
Determine the lateral area and the surface area of a right rectangular prism that has rectangular bases measuring 2"x4" and a height of 8".
Answer:
112 in^2
Step-by-step explanation:
Given data
Length =2in
Width= 4in
Height=8 in
The expression for the total surface area is
SA=2lw+2lh+2hw
SA= 2*2*4+2*2*8+ 2* 4*8
SA= 16+ 32+ 64
SA= 112 in^2
Hence the surface area is 112 in^2
The Lateral area or the total surface area of the prism is 112 [tex]in^{2}[/tex].
The lateral surface area of a rectangular object is the sum of the surface areas of all the sides, which is its total surface area.
According to the question, let us assume,
width w = 2 in
length l = 4 in
height h = 8 in
The lateral surface area is
S = 2lw + 2lh + 2hw since the opposite faces have same dimensions
S = 2×4×2 + 2×4×8 +2×2×8
S = 112 [tex]in^{2}[/tex]
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Find the area of the polygon.
Answer: 174
Step-by-step explanation:
Split into two rectangles, first one has area of 54, other has area of 120. Add
Solve each equation for both variables help please 15 points
Answer:
I hope this helps. Do let me know if you have any doubts and wish me luck I have my maths exams tomorrow!
I REALLY NEED HELP WITH PLINK A PLUNK
Therefore ,We can see that in equation 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable.
Describe equation.A mathematical statement known as an equation is created by joining two expressions using the equivalent sign. For instance, 5x - 5 = 25 is an equation. We can find that the variable x has a value of 6 by resolving this equation.
Here,
we need to convert everything to the same unit in order to establish a legitimate comparison when comparing units like inches, feet, and yards. Therefore, we would have to convert everything, for example, to inches. For these five coins, the same concept holds true. Either lorgs, sinds, plunks, harps, or dalts must be used for everything (pick one of those five).
It's equivalent to attempting to change a dollar amount into cents (for example, $1.37 becomes 137 cents). The alternative is to think about it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.
The procedures in the various parts below are designed to convert all coinage to lorgs, which will serve as our base unit. Trial and error led me to the conclusion that the lorg coin had the lowest worth, thus I'm striving to obtain everything in lorgs.
The four equations provided are
4 lorgs to a sind
5 dalts x 2 plunks
2 harps from 5 sinds.
3 harps equal 1 plunk.
In that order, I'll refer to them as equations (1) through (4).
One sind equals four logs (1)
5 sinds = 20 lorgs; add 5 to both sides.
2 harps = 20 lorgs; in the equation, swap out "5 sinds" with "2 harps" (3)
1 harp = 10 lorgs; multiply both sides by 2, then write this as an equation (5)
Equation: 1 plunk = 30 lorgs (6)
Each of those equations enables us to determine the lorg value of the coins sind, dalt, harp, and plunk.
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The complete question is : " A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.1 sind = 4 lorgs ,2 plunks = 5 dalts ,5 sinds = 2 harps , 1 plunk = 3 harps Which coin is the most valuable? a) sindb) daltc) harpd) plunk"
someone please help me
I think its G dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddeddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddddddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddedddedededededddddddddddddddd dddeddded