Answer:
(a) 3.75
(b) 2.00083
(c) 0.4898
Step-by-step explanation:
It is provided that X has a continuous uniform distribution over the interval [1.3, 6.2].
(a)
Compute the mean of X as follows:
[tex]\mu_{X}=\frac{a+b}{2}=\frac{1.3+6.2}{2}=3.75[/tex]
(b)
Compute the variance of X as follows:
[tex]\sigm^{2}_{X}=\frac{(b-a)^{2}}{12}=\frac{(6.2-1.3)^{2}}{12}=2.00083[/tex]
(c)
Compute the value of P(X < 3.7) as follows:
[tex]P(X < 3.7)=\int\limits^{3.7}_{1.3}{\frac{1}{6.2-1.3}}\, dx\\\\=\frac{1}{4.9}\times [x]^{3.7}_{1.3}\\\\=\frac{3.7-1.3}{4.9}\\\\\approx 0.4898[/tex]
Thus, the value of P(X < 3.7) is 0.4898.
Determine the slope and the y-intercept of the table.
Answer:
Slope: 1.5
Y-Intercept: -1
Select the correct answer from the drop-down menu.
Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The difference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
A One Solution
B No solution
c Infinite Solution
Answer:
one solution
Step-by-step explanation:
Answer:
one solution
Step-by-step explanation:
A 6-kilogram bag of cat food costs $21.54. What is the unit price?
Answer:0.27855153
A
−
0.04642525
kilograms per dollar
Step-by-step explanation:
find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Answer:
Thus, the original price of the pair of shoes was $100.
Step-by-step explanation:
Percentages
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for every lap she ran. How many laps did Antonia run? Use a piece of paper to draw a tape diagram and show your work.
Answer:
30 laps
Step-by-step explanation:
Take 265 then subtract 25. you get 240. then divide that by 8. you get 30 so she ran 30 laps
The speed of a boat in still water is 10 km/hr. If it can travel 78 km downstream and 42 km upstream in the same time, the speed of the stream is?
Answer:
umm let me look at this one more time then I will answer:)
If |14 -2x = 20, x could equal which of the following?
Answer:
x would equal -3
Step-by-step explanation:
want to get rid of 14 from each side so 14 - 14 would get rid of that 20 - 14 = 6 now you still have a negative 2x
-2x / -2x gives you X to be alone now divide 6 with -2 which gives you -3
The value of x is -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
14 -2x = 20
Now, solving for x
Subtract 14 both side
14- 2x - 14= 20- 14
-2x = 6
Divide by (-2)
-2x/(-2)= 6/ (-2)
x= -3
Hence, the value of x is -3.
Learn more about equation here:
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which number are composite numbers-49,35,32,41,47
Answer:
49, 35, 32
Step-by-step explanation:
A prime number is a number whose factors are 1 and itself
Eg 7
7 is a prime number because it only comes in table one and 7
Or it’s only factors are 1 and itself
A composite number comes in 1, itself and other tables
Eg. 16
It comes in table 1, 2, 4 and 16
Answer: 49,32,35.
Hope this helps!
R - 27 / 6 = 7
SOLVE FOR R
PLEASE I WILL GIVE THE HIGHER POINTS
Answer:
R=28.15
Step-by-step explanation:
R-27\6=7
6R-27=7
6R=7+27
6R=34
R=34÷6
R=28.15
What is the solution to this equation?
3x-9 = 12
O A. x = 1
B. x = 7
O c. x = 9
O D. x = 63
point A is located in which quadrant 1 2 3 or 4
Answer:
I THINK 2
Step-by-step explanation:
Answer: (-3, 5) : Quadrant 2
The sum of two binomials is 7x 2 - 15. If one of the binomials is 4x 2-8. what is the other binomial?
0 33²-7
o 11x².7
O 3x2-23
O 11x 2 + 23
Previous
Answer:
c
Step-by-step explanation:
A quality control group found 7 defects for every 1250 units produced. If 8750 products were produced how many defects were there?
Find the measure of angle b.
4)
36°
what do you guys think
need ASAP!!
Order the events in the correct order from 1 being the LEAST likely to occur to 4 being the
MOST likely to occur.
flipping a fair coin and having the
coin land with the tails side facing
up
spinning a spinner with 8 equal
sections numbered 1 to 8 and
landing on a number greater than 1
spinning a spinner with 10 equal
sections numbered 1 to 10 and
landing on 5
rolling a 0 on a number cube
with sides numbered from
1 to 6
Answer:
starting from top to bottom
2
1
3
4
Step-by-step explanation:
In that order
Help I Dont Understand?
if Ad = 2x + 2 and cd= x +11, what is the value of x
Answer: the answer is 9
Step-by-step explanation:
Solve for z;
z/12 = 18/72
Answer:
3
Step-by-step explanation:
z/12=18/72 z/12=1/4 z=3
Answer:
The answer is z=3
Step-by-step explanation:
hope this helps
z/12 = 18/72
72z=216
To find z divide both sides by 72
72z/72=216/72
z=3
HELP!!! Parallel Line Proofs
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed, so he needs to ride an additional ____ mile per 1/4 hour
Answer: 7.0
Step-by-step explanation:
sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so he needs to ride an addititonal 9.8 mile per1/4 hour
Answer:
30 mph
Step-by-step explanation:
since it is 1/4 you would multply 7.5 times 4, which adds up to 30.
what is 2+2 my brain has been in circles about this
Answer:
hey welcome to Brainly, and 2 + 2 = 4
Step-by-step explanation:
2+2=4
3+3=6
4+4=8
5+5=10
and so on just keep adding 2
Which two numbers below have a least common multiple of 48?
Answer:
its 3 and 16 just trust me
The least common multiple is divisible by both a and b. The two numbers below have a least common multiple of 48 is 3 and 16.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The two numbers below have a least common multiple of 48 are,
3 and 16 ⇒ 3×16=48
Hence, the two numbers below have a least common multiple of 48 is 3 and 16.
Learn more about LCM:
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Marcus likes Nike sneakers. He paid $195 for a sneaker that originally cost $245. What is the percent discount of his purchase?
Answer:
21%
Step-by-step explanation:
195 divided by 245 = 0.79 approximately
100-79=21
Always divide the small number by the big number for percentages
Good luck!
Mr Thompson wants to cut a 5-ft rope into a 1/4-ft sections how many 1/4 sections will he have
Answer:
20 pieces of rope
Step-by-step explanation:
Mr. Thompson has a 5-ft rope. If he cuts the rope into 1/4-ft pieces, that means for every foot, there are 4 pieces of rope. There are 5-ft of rope, so we multiply 5 and 4 to get the number of pieces of rope.
5 x 4 = 20 pieces of rope.
I hope that this helps! :)
help me plz !!!!!!!!!!!!
Answer:
5/7
Step-by-step explanation:
hope this helps!!
Answer:
the answer is 5/7 thats the lowest it can go
Step-by-step explanation:
Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
Answer:
30
Step-by-step explanation:
tell me if im wrong
sorry if i am TmT
A triangle has a base of 3 2/5 inches and an area of 5 1/10 square inches. Find the height of the triangle.
Answer:
3.33 is the answer
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
Please help me I am confused
7n + 5 =68.... how to solve this problem and show my work
Answer:
n = 9
Step-by-step explanation:
7n + 5 = 68
7n + 5 - 5 = 68 - 5
7n = 63
7n / 7 = 63 / 7
n = 9
