The ages of all employees at a small convenience store are 36, 32, 38, and 28. What is standard deviation of ages for this population
Answers
The standard deviation is approximately 3.84
Step 1: Find the mean
Find the sum of the values, and divide by number of terms.
Mean (average) = (36+32+38+28)/4 = 134/4 = 33.5
We must use Standard Deviation formula which is attached as an image below.
X is the mean here, so lets plug in 33.5
Step 2. Distance from the mean squared |x-mean∣²
For each data point, we will plug in the numbers.
|36-33.5|²=2.5²=6.25
|32-33.5|²=1.5²=2.25
|38-33.5|²=4.5²=20.25
|28-33.5|²=5.5²=30.25
Step 3: Find the sum (∑)
We find the sum here by adding all the distances from the mean squared
∑|x-mean|²=59
Step 4: Divide the sum by the amount of points, 4
59/4=14.75
Step 5: Take the square root of step 4
[tex]\sqrt{14.75}[/tex] is about 3.84
The standard deviation is approximately 3.84
Related Questions
please help and show work
Answers
To prove that the triangle is scalene, calculate all the lengths of the sides.
The formula for a line like this is basically pythagorean theorem, which is
[tex]p = \sqrt{ {(y2 - y1)}^{2} + {( x2 - x1})^{2} } [/tex]
(x1, y1) and (x2, y2) are the respective vertexes.
can someone help please lol
Answers
Answer:
1. (an closed circle) on the negative 2 mark, then shade everything on the right. (Meaning anything greater than -2, such as -1, 0, 1, 2)
2. (an open circle) on the positive 3 mark, then shade everything right. (Meaning anything greater than 3, such as 4, 5, 6)
5 Which equation is equivalent to
3(2 x – 5) = 4( x + 3)?
A 2x= -27
B 2 x= 27
C 10 x=-27
D 10 x=-3
Answers
Answer:
I think its B
Step-by-step explanation:
Let's solve your equation step-by-step.
3(2x−5)=4(x+3)
Step 1: Simplify both sides of the equation.
3(2x−5)=4(x+3)
(3)(2x)+(3)(−5)=(4)(x)+(4)(3)(Distribute)
6x+−15=4x+12
6x−15=4x+12
Step 2: Subtract 4x from both sides.
6x−15−4x=4x+12−4x
2x−15=12
Step 3: Add 15 to both sides.
2x−15+15=12+15
2x=27
Step 4: Divide both sides by 2.
The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.
What is an equivalent equation?Algebraic equations with equivalent solutions or roots are called equivalent equations. An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of a given equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.
The given equation is 3(2x-5)=4(x+3).
Now, 6x-15=4x+12
6x-4x=12+15
2x=27
The equation is equivalent to given equation is 2x=27. Therefore, option B is the correct answer.
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PLS HELP!! BRAINLIEST!!
Answers
Answer:
Look below :)
Step-by-step explanation:
To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 4 + 6 + 4 + 3 + 3. Which gives us 20. So for A grade, 4/20 people got it, which is 20%. We do that for the rest of them:
B = 6/20 = 30%
C = 4/20 = 20%
D = 3/20 = 15%
E = 3/20 = 15%
Now for the second question, the most is 30%, so most students got B. I hope this helps and please makr brainliest! <3
I need help with this problem Try not to answer this try to give me steps
Answers
Answer:
Step-by-step explanation:
80 inches = 6 feet and 8 inches
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART I ONLY NEED A FEW SENTENCES!
Please answer the following essay question:
An isosceles triangle has two congruent angles. Write an expression to represent the measure of the third angle of the triangle. Explain.
Answers
Answer:
third angle =180-two congruent angles. is expression.
Yoko's fish tank has 18 liters of water in it. She plans to add 5 liters per minute until the tank has more than 48 liters. What are the possible numbers of minutes Yoko could add water?
Answers
Answer:
7 minutes, 8 minutes, 9 minutes, or more
Really any minute more than 6 should do.
Step-by-step explanation:
48 - 18 = 30
30 ÷ 5 = 6
It says the tank should have more than 48 liters, so the answer should be more than 6 minutes.
Ifj. 1. what is the value of i
Answers
Answer:
i
Step-by-step explanation:
The square root of a negative number is identified as an imaginary number (i )
An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.
The answer is:
i
Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79
Answers
Answer:
Your answer is D.
Step-by-step explanation:
Your friend's house is 6 miles south and 14.4 miles east of the bank. How far is your friend's house from the bank?
Answers
Answer: 15.6 miles
Step-by-step explanation:
If you draw it out it makes a triangle which you can then use the pythagorean theorem to find the actual distance between the house and the bank. Your equation should be sqroot of 6^2+14.4^2 which equals 15.6 miles. Hope this helps. :)
To rent a limousine, Theo must pay an initial fee of
$
45
in addition to
$
12
for every hour (
h
) he has the limousine reserved. To calculate the final cost (
c
), Theo wrote the following equation.
c
=
45
+
12
h
If the final bill amounts to
$
123
, how many hours did Theo have the limousine reserved
Answers
Answer:
6.5 hours
Step-by-step explanation:
123-45=78
78/12=6.5
Theo had the limousine reserved for 6.5 hours.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Theo's equation for the cost of renting a limousine is:
c = 45 + 12h
where c is the total cost,
and h is the number of hours reserved.
If the final bill amounts to $123,
we can set c equal to 123 and solve for h:
123 = 45 + 12h
Subtracting 45 from both sides:
78 = 12h
Dividing both sides by 12:
h = 6.5
Therefore, Theo had the limousine reserved for 6.5 hours.
Learn more about algebraic Expression here:
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how do you simplify 1/5 x 22
Answers
Answer:
The person above is correct
Step-by-step explanation:
Answer: 4 2/5
Step-by-step explanation:
a straight line has equation 4y-5x=2 work out the gradient of this line
Answers
Answer:
gradient = [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Given
4y - 5x = 2 ( add 5x to both sides )
4y = 5x + 2 ( divide the terms by 4 )
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form
with gradient m = [tex]\frac{5}{4}[/tex]
Q5) 60% of a number is 54. What is 50 % of the same?
Answers
Answer:
45
Step-by-step explanation:
we multiply 50 by 54 and divide 60 my the number you get after multiplying
so 50*54/60 that is 45
A shirt costs $5 less than a sweater. Together they cost
$25. How much does the sweater cost? _____
Answers
Answer:
$20
Step-by-step explanation:
25-5=20 that is your answer
Answer:
15 dollars
Step-by-step explanation:
WILL GIVE BRAINLIEST ASAP!!
1. Determine the area and perimeter of the quadrilaterals below.
Part A:
Part B:
Part C:
(see picture)
Answers
Answer: A) 1888 B) 664.225 C)?
Step-by-step explanation:
A= 42+76(1/2) = 59
59(32)=1888
A=163/10(163/4)=664.225
9. IS it possible to prove these triangles congruent by the HL Theorem?
Answers
Answer:
Yes, It is possible
Step-by-step explanation:
What is the answer to this ? I totally forgot how to this kind of math 5/7 x 1/2
Answers
Answer:
5/14
Step-by-step explanation:
Answer:
5/14 or 0.357
Step-by-step explanation:
just multiply across (5x1 and 7x2 --> 5/14)
An equilateral triangle has a side length of 30.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answers
Answer:
x=9
y=3
Step-by-step explanation:
since all three sides of an equlateral triangle are equal:
3x+y=30 then y=30-3x
4x-2y=30
4x-2(30-3x)=30
4x-60+6x=30
10x=90
x=9
3x+y=4x-2y
x=3y
y=3
in
After seling 15 lemonades. Jessicamade $5. After seling 42 lemonades, she
made $18.50. Write and solve an equation to find how much Jessica spent
on supples.
Answers
Answer:Let x be the number of full cup sold Let y be the number of half cup sold Whether the cup was full or not, they used 37 cups. Therefore, x + y = 37 How much money did they make selling half cup lemonade? They made y × 0.25 How much money did they make selling full cup lemonade? They made x × 0.50 Money made selling full cup + money made selling half cup = 15 x × 0.50 + y × 0.25 = 17 You end up with a system of linear equation to solved x + y = 37 x × 0.50 + y × 0.25 = 17 x + y = 37 equation 1 0.50x + 0.25y = 17 equation 2 Solve for y in equation 1 x + y = 37 x - x + y = 37 - x y = 37 - x Replace y in equation 2 0.50x + 0.25 (37 - x) = 17 0.50x + 0.25 × 37 - 0.25x = 17 0.50x + 9.25 - 0.25x = 17 0.25x + 9.25 = 17 0.25x + 9.25 - 9.25 = 17 - 9.25 0.25x = 17 - 9.25 0.25x = 7.75 Divide both sides by 0.25 0.25x/0.25 = 7.75/0.25 x = 31 y = 37 - x = 37 - 31 = 6 Sasha and Francisco sold 31 full cup and 6 half cup of lemonade It seems like people love their lemonade
Step-by-step explanation:
hoped this helpedddd
6. If ABCD is a square and AD = 11. find each missing value.
B
BC=
mZDAB =
AC =
m2AEB =
BD =
mZCBD =
EC =
mZBAC =
D
Answers
Answer:
All sides will be 11 and all angles will be 90 degrees.
Step-by-step explanation:
As all sides of square are equal. And all angles are right angled.
Hope it helped!!
Approximately the distance d in miles that a person can see the horizon is represented by the
equation du
where h is the height where the person is. (1mile = 1609.3 m).
4
Answers
Step-by-step explanation:
bonjour quelqu'un peut-il se joindre à zo om Numéro d'identification 77974021488 le mot de passe 9taPHH
Encierra todo los números que sean menores para 25,000 003
Answers
What numbers do you have to circle that are less than 25,000,003??
Simplify the followimg
(1 1/2) ^-2 step by step explanations plzzzzzzzz
Answers
Answer:
4/9
Step-by-step explanation:
sorry if wrong i don't know how to explain it also
Answer:
Convert 1 1/2 to an improper fraction.
3/2⋅2
Cancel the common factor of 2.
3
Mr. Hepworth bought a new refrigerator for $975 after a 25% discount, how much did the refrigerator cost originally?
Answers
Answer:
954
Step-by-step explanation:
Answer:
1218.75
Step-by-step explanation:
25% of $975 = 243.75
Discounted price + Discount = Original Price
$975 + 243.75 = 1218.75
What is the position
number of the term
125 in the sequence
f(n) = 2n+3?
Answers
Answer:
61st term in the sequence
Step-by-step explanation:
125 = 2n + 3
122 = 2n
n = 61
Which postulate or theorem proves that triangle JHG and
triangle EFG are congruent?
•HL Congruence Theorem
• ASA Congruence Postulate
•SAS Congruence Postulate
• AAS Congruence Theorem
Answers
Answer:
The answer is AS A Congruence Postulate.
Step-by-step explanation:
Work out the sum of 1/6 , 4/5 and 2/3 Give your answer as a mixed number in simplest form.
Answers
Answer:
1 29/30
Step-by-step explanation:
First find the least common denominator of 1/6, 4/5, and 2/3. The least common denominator of that list is: 30.
So let's convert all of these fractions to a denominator of 30.
Here are the newly converted fractions:
5/30, 24/30, 20/30.
So now add all of them together. 5/30+24/30+20/30=(5+24+20)/30, which is equal to: 49/30 = 1 19/30.
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells.
Answers
Answer:
34+12x=100 12x=66 x=66/12=11/2 answer:11/2
Step-by-step explanation:
Answer:
[tex]12n+34>100[/tex]
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be: [tex]12n+34[/tex]
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100.
need help please
to find X
Answers
Answer:
[tex] \boxed{x = 86 \degree}[/tex]