Answer:
The number of observations in the data set expected to be between the values 91 and 121 is of 2853.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 101, Standard deviation = 10
Percentage of of observations in the data set expected to be between the values 91 and 121.
91 = 101 - 10
So 91 is one standard deviation below the mean.
121 = 101 + 2*10
So 121 is two standard deviations above the mean
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Of those 50% below the mean, 68% are between one standard deviation below the mean(91) and the mean(101).
Of those 50% above the mean, 95% are between the mean(101) and two standard deviations above the mean(121).
So the percentage of observations in this interval is of:
[tex]P = 0.5*0.68 + 0.5*0.95 = 0.815[/tex]
Number of observations in the interval
81.5% of 3500. So
0.815*3500 = 2853
The number of observations in the data set expected to be between the values 91 and 121 is of 2853.
Blue Sky Jeans Company manufactures jeans.
A machine cuts the fabric pieces and workers sew
them.
One worker can sew the fabric pieces for a 1/2
pair of jeans in 1/8
hours?
How long does it take a worker to sew one pair of
jeans?
Answer: 1/4
Step-by-step explanation:
Which angles form a linear pair? Helppp
Given:
Pairs of angles in options.
To find:
The angles that form a linear pair.
Solution:
Linear pair: Two angles are called linear pair if they are lie on the same side of a straight line and their sum is 180 degrees.
In the given figure, we have two straight lines MO and NP.
Linear pairs for line MO are
[tex]\angle MRN[/tex] and [tex]\angle NRO[/tex]
[tex]\angle MRP[/tex] and [tex]\angle ORP[/tex]
[tex]\angle LRM[/tex] and [tex]\angle LRO[/tex]
Linear pairs for line NP are
[tex]\angle ORP[/tex] and [tex]\angle NRO[/tex]
[tex]\angle MRP[/tex] and [tex]\angle MRN[/tex]
[tex]\angle PRL[/tex] and [tex]\angle LRN[/tex]
So, pairs of angles in options A, B and D are not linear because they are not lie on the same side of a straight line.
Therefore, the correct option is C.
Multiply: (3x + 6)(5x+2)
Answer:
Hi! The correct answer is 15x^2 + 36x + 12!
Step-by-step explanation:
~Expand the polynominal using the FOIL method~
Answer:
1 5 [tex]x^{2}[/tex] + 3 6 + 1 2
Step-by-step explanation:
Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to
5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is
$2,461, determine the amount in her account after 25 years. Round to the nearest cent
a$339,804.33
$354,452.86
$344,941.24
d. $347.269.59
b
C
Answer:
A: $339,804.33
Step-by-step explanation:
YOU HAVE THE ANSWER BE HAPPY!! /( 0 v 0 )"/
Answer:
a
Step-by-step explanation:
Give the least common
multiple:
3a, 15
Answer:
3
Step-by-step explanation:
3 goes into 3a once and 15 5 times
An apple is cut into 6 equal slices. Nancy eats 2 of the slices. What fraction of the apple is left?
Answer:
Fraction of apple pieces left = 4/6 = 2/3
Answer:
4/6.
Step-by-step explanation:
Nancy first ate 6, which equals 6/6. then she ate 2, which is 4/6.
For what values of x and y are the triangles to
the right congruent by HL?
Answer:
x = 6
y = 2
Step-by-step explanation:
For both triangles to be congruent, their hypotenuse lengths and the corresponding length of the other leg must be equal to each other.
Thus:
x = y + 4 ---› Eqn. 1
x + 2 = 4y ----› Eqn. 2
Substitute x = (y + 4) into equation 2.
(y + 4) + 2 = 4y
y + 4 + 2 = 4y
y + 6 = 4y
y - 4y = -6
-3y = -6
y = 2
Substitute y = 2 into equation 1
x = y + 4 ---› eqn. 1
x = 2 + 4
x = 6
I need help with this ASAP! (Click on the image I uploaded)
Answer:
d = 24.63
Step-by-step explanation:
82.53 - (21.7 + 17.3 + 18.9) =
24.63
Mark agreed to babysit his younger cousin every Wednesday for the same hourly rate. Last Wednesday, Mark made $38 for babysitting for 4 hours. What
equation can be used to determine how much money, Mark will make for every hour, he babysits, so long as the hourly rate stays the same each time?
Answer:
38 divided by 4
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
Answer:
10
Step-by-step explanation:
since it is a right angle triangle
[tex] {x}^{2} = ({5 \sqrt{2} })^{2} +({5 \sqrt{2} })^{2} [/tex]
[tex] x = \sqrt[2]{(5 \sqrt{2} )^{2} +( 5 \sqrt{2})^{2}} [/tex]
[tex]x = \sqrt{(25 \times 2) + (25 \times 2)} [/tex]
[tex]x = \sqrt{50 + 50} [/tex]
[tex]x = \sqrt{100} [/tex]
[tex]x = 10[/tex]
The student council started with 50 cans of food for the food drive and then
collected 5 per student.
complete the missing value in the solution to the equation.^
Answer:
10
Step-by-step explanation:
subtract 5y from both sides of the equation
help?? pleaseeeee cant fudge it out lol
Answer:
cant see the photo
Step-by-step explanation:
can you tell me what it says-
Find the slope of the given line, if it is defined.
The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
B. The slope is undefined.
Answer: A. The slope is [tex]-\dfrac{4}{3}[/tex].
Step-by-step explanation:
The slope of a line helps to specify the direction of the line.
The slope of a line that passes through (a,b) and (c,d) is given by :-
[tex]\text{Slope}=\dfrac{d-b}{c-a}[/tex]
Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-
[tex]\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}[/tex]
Hence, the slope is [tex]-\dfrac{4}{3}[/tex].
The system has how many solutions?
Answer:
two solutions ldk because thethe lines are split into four and if you take away two you still have four more I really don't know this
Answer:
No solution.
Step-by-step explanation:
[tex]y = 2x + 3 \\ y = 2x - 1[/tex]
Both equations are in slope-intercept form so we can combine both equations.
[tex]2x + 3 = 2x - 1[/tex]
Solve the equation.
[tex]2x - 2x = - 1 - 3 \\ 0 = - 4[/tex]
Both sides are different. Therefore, both graphs are parallel and no solutions.
What is the difference of 54.567 and 361.02
Answer:
-306.453
Step-by-step explanation:
306.453
(i just used a calculator hsfgkhd)
9. What is 3/8x3/8x3/8 written as a power?
Answer:
3^3/8^3
Step-by-step explanation:
because since there are 3 three's in 3/8, it will have to be 3^3 and since there are 8 three's, it will be 8^3. so the answer will be 3^3/8^3
The representation of the expression (3/8)x.(3/8)x.(3/8)x in terms of power is [(3/8)x]³.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression (3/8)x.(3/8)x.(3/8)x.
= (3/8)×(3/8)×(3/8)×x×x×x.
= (3/8)³×x³.
= [(3/8)x]³.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ5
Define least common multiple
Answer:
another term for lowest common multiple
Step-by-step explanation:
btw I got this from the web hoped I helped:)
Answer:
its similar to least common factor; a number or constant that is the lowest a number can be multiplied to get itself.
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Determine the value of y, if x is 12.
y = x2 – 11
Answer:
y=13
Step-by-step explanation:
y=12 × 2 -11
y= 24 - 11
y= 13
Answer:
13
Step-by-step explanation:
You probably need this answer fast so....
Substitute x with 12
do 12 - 11
its 13
The velocity in meters per second of a ball that is dropped from a window at a hight of 10.5 meters is represented by the equation v = √2(9.8)(10.5). Estimate the velocity of the ball. Round your answer to the nearest tenth.
Answer:
14.3 meters per second.
Step-by-step explanation:
v=2(9.8)(10.5)
v=205.8
v=14.3
Answer:
v=145.522576 becuase you simpilyfy the equarion and you get this
Step-by-step explanation:
rounded to the nearest tenth it would be 145.5
which is larger 3/4 or 0.73
Answer:
3/4
Step-by-step explanation:
3/4 as a decimal is .75
.75>.73
Answer:
3/4 is larger
Step-by-step explanation:
3/4=0.75
0.75 is 0.02 larger than 0.73.
Hope this helps! :)
Francesca must buy over $55 worth of art supplies to qualify for free shipping
Answer
the question isn't complete
Step-by-step explanation
cool
Marco can hit the archery target 3 out of every 15 times he shoots. If he missed 48 times, how many times will he be expected to hit the target?
Answer: 12
15-3=12 miss ratio
48misses/12 sets of misses= 4 sets of 15 shots
Up to twelve 4*3 twelves accurate shots provided he shot at least 60
Step-by-step explanation:
Which of the following percents is equivalent to 31/50
Answer:
62/100
Step-by-step explanation:
THANKS! Everyone if you answer this
Answer:
Down Below .
Step-by-step explanation:
A. Nickel and Copper.
B. The average temp is 1034.8575. I got that by adding all the temps then dividing it by 4
what is 4/7÷2/3? please help me with this
Answer:
Hi! The correct answer is 8/21!
Step-by-step explanation:
~Simplify the expression~
Answer:
Um 0.09523809523. Yeah
What gives the value of this expression -20/-4+(-15) (-2)
Answer:
[tex]\frac{-20}{-4+(-15)(-2)} = \frac{-10}{13}[/tex]
Step-by-step explanation:
Given expression
= [tex]\frac{-20}{-4+(-15)(-2)}[/tex]
= [tex]\frac{-20}{-4+30}[/tex]
= [tex]\frac{-20}{26}[/tex]
= [tex]\frac{-10}{13}[/tex]
[tex]\frac{-20}{-4+(-15)(-2)} = \frac{-10}{13}[/tex]
classify the triangle that satisfies the following set of conditions: one obtuse angle and no congruent sides. (Check your spelling.) *
Answer:
A scalene triangle
Step-by-step explanation:
A scalene triangle is a triangle with unequal interior angles
heyyyy someone help me with this
Answer:
1. 1 hour per day
2. sorry i don't know the answer
Step-by-step explanation:
7hours 30minutes - 1hour 30minutes = 6hours
6 divided by 6 = 1hour
−3−3/4(c−4)=5/4
anser for c
offering brainlyest in the next ten minutes
Answer:
okay so it is −
3
−
1
⋅
3
4
(
−
4
)
=
5
4
−
3
−
3
4
(
−
4
)
=
5
4
Step-by-step explanation: