A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 71% with a standard deviation of 12% on their final exams. His afternoon classes average 78% with a standard deviation of 8%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
Answer:
0.3137 ; 0.2228
Step-by-step explanation:
Given a normal distribution :
Morning class :
Mean(Mm) = 71%
Standard deviation (Sm) = 12%
Afternoon class:
Mean(Ma) = 78%
Standard deviation (Sa) = 8%
M = Mm - Ma = (71 - 78) = - m7
S = √Sm + Sa = √12² + 8² = √208
A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class?
P(morning > afternoon) = p(morning - afternoon > 0)
Using:
Z = (0 - (-7)) / S
Z = 7 / √208
Z = 0.4853628
P(Z > 0.49) = 0.3137
B)
What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class?
Using:
Z = (4 - (-7)) / S
Z = 11 / √208
Z = 0.7627127
P(Z > 0.49) = 0.2228
Write an equation in a slope-intercept form for the line described.
parallel to y=4x+2, y-intercept at 4
Answer: y= 4x + 4
Step-by-step explanation: The equation is in slope intercept form, y=mx+b. The slope is the same since it is parallel to the equation, and since b is the x interecept, b is 4.
How to get 24 by integers
Answer:
There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.
Step-by-step explanation:
Please help me with this
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10pts)
5 Isabella ran the 100-meter dash five times. The time it took her to complete each
race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Part A
Isabella wants to order the race times from her longest time to her shortest time.
Write the decimals in order from greatest to least.
12.87
12.1.
12.07
12.07
DE
Answer:
12.87 12.1 12.07 12.07
Step-by-step explanation:
I need help on number 3 please.
La edad actual de Jorge es el triple que la de Perdro y dentro de 10 años será el doble. Cuál es la edad actual de cada uno de ellos?
Necesito operación por favor.
Answer:
Planteas un sistema de ecuaciones 2x2 y solucionas por el método que prefieras.
Step-by-step explanation:
Edad de Jorge: j
Edad de Pedro: p
[tex]\left \{ {{j=3p}\atop {j+10=2(p+10)}}\right.[/tex]
Ec (1) en Ec (2)
[tex]3p+10=2(p+10)[/tex] → [tex]3p+10=2p+20[/tex] → [tex]3p-2p=20-10[/tex] → [tex]p=10[/tex]
Reemplazamos en Ec (1)
[tex]j=3(10)[/tex] → [tex]j=30[/tex]
Por ende, Jorge tiene 30 años y Pedro 10
Cheryl wants to save at least $500 to buy a video game console. She already has $100 saved up and is going to babysit for $20 an hour until she can save up the rest. Write an inequality to represent this scenario, then solve the inequality to find out the minimum number of hours she must babysit to save a total of $500?
Answer:
x + 5 ≥ 25 [Inequality]
Minimum no. of hours = 15 hours
Step-by-step explanation:
Given :-
Price of video game console = $500
Money in hand = $100
Rate at which money is gained = $20/h
To Find :
Inequality to represent the situation
Variables :-
h = number of hours
Solving :-
20x + 100 ≥ 500
x + 5 ≥ 25 [Inequality]
x + 5 ≥ 20
x ≥ 15
Minimum no. of hours = 15 hours
The width of DNA is approximately 0.0000000025 meters wide. What is 6 times the width of DNA in Scientific notation
Answer:
Well "0.0000000025 x 6" is "1.5e-8" but
Step-by-step explanation:
Sadly I can't explain anything, It's just not one of my skills :(
The 6 times the width of DNA in Scientific notation will be 1.5 × 10⁻⁸.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The width of DNA is approximately 0.0000000025 meters wide.
The 6 times the width of DNA in Scientific notation will be given as,
⇒ 6 × 0.0000000025
⇒ 6 × 2.5 × 10⁻⁹
⇒ 1.5 × 10⁻⁸
The 6 times the width of DNA in Scientific notation will be 1.5 × 10⁻⁸.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
What is the length of AB?
B
4x
2x + 6
50"
A
50°
C
O A. 9
O B. 3
O C. 12
O D. 6
Answer:
C. 12
Step-by-step explanation:
[tex]4x=2x+6[/tex]
[tex]4x-2x=6[/tex]
[tex]2x=6[/tex]
[tex]x=3[/tex]
~
[tex]AB=4x\\=4(3)\\=12[/tex]
~
Therefore, your answer is C) 12 !!!!!!
m = (1 +19)(2) How do i solve it?
Answer:
40
Step-by-step explanation:
Firstly, i solved for the first pair of parenthesis and got 20. If there is no sign in between a pair of brackets of parenthesis its multiplication
Put as brainliest if you wish
A solid shape is made by joining two cones. Each cone has the same radius. One cone has The other cone has slant height = 2x radius The total surface area of the shape is slant height = 3x radius 57.8 pi cm^ 2 Curved surface area of acone = pi*r * l where r is the radius and I is the slant height Work out the radius. Each cone has the same radius.
The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as 3.4 cm.
How can the length of the radius be calculated?Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
The radius of the cones, r = 3.4 cmLearn more about finding the surface area of 3-D shapes here:
https://brainly.com/question/15635229
Need this answer if any 9ne no it
Answer:
I think it's 2
Step-by-step explanation:
You have to put x and y in the right places where they belong, where x = - 1 and y = 2, that's it !
A cube is 5 feet on each side. What is its volume? 125 ft 3 150 ft 3 25 ft 3 50 ft 3
[tex] \mathfrak{V=a³}[/tex]
Where,
a is the length of edgeIn our case,
a = 5 feet[tex] \sf \: V= {5}^{3} [/tex]
[tex] \sf \: V= {125} \: ft^{3} [/tex]
➪ Thus, The volume of the cube is 125 feet³...~
We know that:
[tex]Volume = L^{3} = (L)^{3}[/tex]
Substituting the side length into the equation:
[tex]Volume = (L)^{3}[/tex]
[tex]Volume = (5)^{3}[/tex]
Evaluating the volume:
[tex]Volume = (5)(5)(5)[/tex]
[tex]Volume = 125 \space\ ft^{3}[/tex]
Drag each coordinate pair to the correct location on the table. Each coordinate pair can be used more than once, but not all coordinate pairs will
be used.
A system of inequalities is graphed below.
1
2
у
4
6
4
2
1-6
-4
2
2
6
4
6
Determine if each point satisfies one of the Inequalities or the system graphed. Then, place each solution point in the correct category. If the
point is a solution for more than one category, place the point in each category that is satisfied.
(-3,-4)
(-4,-5)
(-1,-1)
(-3,6)
(2,6)
(1,-3)
(-2,5)
Answer:
For inequation 1:
(2, 6)(1, -3)(-2, 5)
For inequation 2:
(2, 6)(-1,-1)(-3. 4)(1,-3)
For the system:
(2, 6)(1, -3)
Step-by-step explanation: got it right on the test
The sum of Manoela's age and 12 is 30.
Let x represent Manoela's age. Write an
equation to represent the sentence above
Answer:
x + 12 = 30
Step-by-step explanation:
For the answer subtract 12 from 30 to get 18 which would be Manoela's age
Solve the inequality.
7(2 − x) − 4(2 − 3x) > 2
The solution is
Please help ASAP
can you please help me
Answer:
answer 1 goes in 1st box
answer 2 goes in box 3
answer 3 goes in box 2
answer 5 goes in the last box
answer 4 goes in 2nd to last box
Step-by-step explanation:
3/4(8x+12)+4/5(25x+20)
simplify quick please D:
Answer:
26x + 25
Step-by-step explanation:
3/4(8x + 12) + 4/5(25x + 20)
Distribute
3/4(8x) + 3/4(12) + 4/5(25x) + 4/5(20)
24/4x + 36/4 + 100/5x + 80/5
Reduce the fractions
6x + 9 + 20x + 16
Combine like terms
26x + 25
a recipe call for 3 cups of flour and 2 tablespoons of butter .How many tablespoons of butter would be needed if the amount of flour were increased to 12 cups
Answer:
8 tablespoons of butter.
Step-by-step explanation:
12/3= 4
4x2= 8
Which of the following is a perfect square?Single choice.
a) 1057
b) 625
c) 7928
d) 64000
Answer:
b. 625
Step-by-step explanation:
you just have to find the square root
which is 25
the rest have decimals
How do you do this problem?
Answer:
55°
Step-by-step explanation:
In the triangle towards the bottom-left, we can see that it is an iscosceles triangle, which means that the two angles opposite of those two sides are also equal. Along with this, a triangle will also only have 180° for the sum of all of its angles.
When you put another x in the angle next to the 37°, you get an equation similar to:
[tex]x+x+37+33 = 180\\2x + 70 = 180\\2x = 110\\x = 55[/tex]
x in this case will then be 55 degrees.
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal now?
Answer:
8 + x
Step-by-step explanation:
She started with 8 entries.
She added x entries.
The total now is the sum of 8 and x.
Answer: 8 + x
Select the correct answer.
Chase is constructing equilateral triangle EFG inscribed in a circle.
He begins by using a compass to draw circle X. He then uses a straightedge to draw a diameter of the circle and labels the endpoints D and E.
How can Chase find points Fand G?
OA.
Points Fand G are endpoints of a chord that is perpendicular to and bisects DE.
OB.
Points F and G are the points where circle X intersects a congruent circle centered at D.
O c.
Points Fand G are the points where circle X intersects a congruent circle centered at E.
OD
Points F and G are points of intersection of two congruent circles centered at D and E.
In the construction of the equilateral triangle EFG inscribed in a circle, Chase can find points F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E.
What is an equilateral triangle?It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.
After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius the circle.
In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.
Learn more about triangles on:
https://brainly.com/question/17335144
Answer: D
Step-by-step explanation:
I got it write on edmentum
may anyone give me an example please , this is an instruction of what we should do , we have to make a video and I need an idea.
Answer:
Make a presentation/video explaining how you convert the measures of length stated, using an object. Use different objects for different lengths. I'm guessing you do online school? So, send it to your teacher or instructor when you're done.
Molly and Susan went to lunch at a restaurant. Their check came to $32. They want to leave a 18% tip. What is the total cost of their meal?
Answer:
$37.76
Step-by-step explanation:
.18*32 = 5.67
5.67+32 = 37.76
The table below helps to change centimetres into inches.
About how many inches are there in 14 centimetres?
Answer:
5.51181 Inches
Step-by-step explanation:
No table is provided, to turn cm to inches divide the cm by 2.54, if you need help with division contact me, thank you.
A bottle contains 125 multivitamin tablets. Each tablet contains 20 milligrams of niacin.
How many grams of niacin in all are contained in the bottle?
Answer
2.5
Step-by-step explanation:
125 vitamins, 20 milligrams in each.
convert 20 milligrams to grams, 0.02
multiply 0.02 by 125
2.5
Answer2.5
Step-by-step explanation:
hope it helps
Help help ASAP ASAP
Answer:
6
Step-by-step explanation:
5y - 12 = 18
5y = 30
y = 6
Answer:
I would say five, not positive though. if it isn't five then i'd say 12!
Step-by-step explanation:
what is 1 x 3/4 x 1/2 =
Answer:
3/8
Step-by-step explanation:
3/4 x 1/2 = 3/8
3/8 x 1/1 = 3/8
Hope that helps!