Answer:
0.8340
Step-by-step explanation:
The aim of this question is to find the probability that the student makes it to the second class prior to when the lecture commences.
Provided that A, B, and C are independent of each other from the full complete question.
Then; we want P(A + C < B)
So A [tex]\sim[/tex] N (2, 1.5)
B [tex]\sim[/tex] N (10, 1)
C [tex]\sim[/tex] N (6, 1)
P(A + C - B < 0)
Since they are normally distributed( i.e. A + C - B)
Then;
E(A + C -B) = E(A) + E(C) - (B)
E(A + C -B) = 2 - 10 + 6
E(A + C -B) = -2
Var(A+C -B) = Var(A) + Var (B) + Var (C)
Var(A + C -B) = (1.5)² + (1)² + (1)²
Var(A + C -B) = 4.25
The standard deviation = [tex]\sqrt{4.25}[/tex]
The standard deviation = 2.06155
[tex]P(A+C-B) = p \Big (Z < \dfrac{0-(-2)}{2.06155} \Big )[/tex]
[tex]P(A+C-B) = p \Big (Z \le 0.97014 \Big )[/tex]
[tex]\mathbf{P(A+C-B) = 0.8340}[/tex]
The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly skewed to the right. The central limit theorem says that:________
(a) as we look at more and more students, their mean number of siblings gets ever closer to the mean u for all students.
(b) the mean number of siblings for any number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students.
(c) the mean number of siblings for any number of students has a distribution that is close to Normal.
(d) the mean number of siblings for a large number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students.
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Answer:
(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
By the Central Limit Theorem
The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.
A fitness machine weigh 16.8 kg. How many grams does the fitness machine weigh?
Answer:
16800
Step-by-step explanation:
since the equaltiuon is 16.8*1000
1 kg = 1000 grams.
16.8 kg x 1000 = 16,800 grams
George is trying to make sure his garden is in the form of a right triangle. Which of the following side lengths would create a right triangle with side lengths of 12 m and
15 m?
O 20 m
18 m
O 9 m
7 m
In the box, type the number that correctly completes the sentence.
A book cost $8.98. Kaitlyn needs $
to buy three books.
There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?
Answer:
0.8 liters
Step-by-step explanation:
1l=1000 mlml=1000 ml-200ml=800ml=0.8L
Answer:
shouldn't it be 800 mL
Step-by-step explanation:
cause there are 1000mL in 1 liter
hs
Use Order of Operations
to solve.
43 – (24 = 6) + 8
Answer:
21
Step-by-step explanation:
43-(24+6)+8
43-30+8
13+8
21
Lisa's commute to work changed from 94 miles to 34 miles after she
moved. What is her percent change? Round your answer to the nearest
whole percent.
Answer:
60
Step-by-step explanation:
Answer:
60 i think
Step-by-step explanation:
The quotient obtained when (9 greater than x) is divided by (z plus 1)
helpp meeeeeeee plsssssa
Answer:
10x 8 is 80 so it will be 30+80
Find the domain and range of the relation given to the right.
please help!!! i’ll give brainliest!!
Answer:
Step-by-step explanation:
D:(0,10)
R:(14, infinitly)
What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?
Answer:
symmetryStep-by-step explanation:
is the line that divides the parabola into two mirror imagesAnswer:
line of symmetry
Step-by-step explanation:
Need help, please and thank you!
9514 1404 393
Answer:
y = -2·(1/2)^x
Step-by-step explanation:
The general form of the equation can be written as ...
y = a·b^x
where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.
From your table and graph, a = -2. From the table, ...
b = -1/-2 = 1/2
Then the exponential equation is ...
y = -2·(1/2)^x
A medical supplier sells gauze in large and small rectangular sheets. A large sheet has a length of 9 inches and an area of 45 square inches. A small sheet has a length of 4 inches and a width of 3 inches. Are the sheets similar?
Answer:
Step-by-step explanation:
Large sheet:
Length = 9 inches
Width of large sheet = area ÷ length = 5 inches
ratio of length to width = 9:5
Small sheet:
Length = 4 inches
Width = 3 inches
ratio of length to width = 4:3
9:5 ≠ 4:3
The sheets are not similar
The large sheet and small sheet are not similar because they have different dimensions.
What is the area of a rectangle ?
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
It is given that large sheet has a length of 9 inches and an area of 45 square inches whereas the small sheet has length of 4 inches and a width of 3 inches.
Let's find out the area of small sheet which will be :
A = L × B
A = 4 × 3
A = 12 inches²
Whereas , in case of large sheet the area is 45 inches². So , the area of both sheets are not similar.
Let's check if dimensions are same.
Width of large sheet will be :
A = L × B
45 = 9 × B
or
B = 5 inches
So , dimensions are also not equal.
Therefore , the large sheet and small sheet are not similar because they have different dimensions.
Learn more about area of rectangle here :
brainly.com/question/25292087
#SPJ2
The ratio of the measures of the sides of a triangle is 2:8:9. If the perimeter of the triangleis 76 inches, find the length of each side. for geometry
Answer:
The lenghts of the sides are: 8 inches, 32 inches, 36 inches.
Step-by-step explanation:
Perimeter of a triangle:
The perimeter of a triangle is given by the sum of it's sides dimensions.
The ratio of the measures of the sides of a triangle is 2:8:9.
This means that their measures are:
The first measure is x
The second measure is of: [tex]\frac{8x}{2} = 4x[/tex]
The third measure is of [tex]\frac{9x}{2}[/tex]
So the perimeter will be of:
[tex]x + 4x + \frac{9x}{2} = 76[/tex]
[tex]5x + \frac{9x}{2} = 76[/tex]
[tex]\frac{10x}{2} + \frac{9x}{2} = 76[/tex]
[tex]\frac{19x}{2} = 76[/tex]
[tex]19x = 76*2[/tex]
Simplifying by 19
[tex]x = 4*2 = 8[/tex].
So, dimensions of:
[tex]8, 4*8 = 32, \frac{9*8}{2} = 36[/tex]
The lenghts of the sides are: 8 inches, 32 inches, 36 inches.
A farming council takes a large random survey of US adults in which they ask how many times they ate a
cruciferous vegetable such as broccoli, cauliflower, or cabbage in the last 7 days.
Let the random variable x be the number of days a randomly selected respondent reported eating one of these
vegetables
The probability distribution of X and several choices of histograms are shown below
Which histogram correctly displays the probability distribution of the random variable X, the number of days a
randomly selected respondent reported eating a cruciferous vegetable?
a
Ob
Oc
histogram C
histogram A
histogram B
Answer:
Histogram A
Step-by-step explanation:
Because I was trying to find the answer but I got it wrong and it told me the answer <3
I need help please.
solve for da x in 2x+3=7 :>
Answer:
x = 2Step-by-step explanation:
Given
2x+3=7Solve for x
2x = 7 - 32x = 4x = 4/2x = 2Answer:
2
Step-by-step explanation:
first answer deleted by moderator... even when it was correct... i did more explaining on that one, but they kindly deleted my answer and didn't even show my full answer after they had deleted it like some other moderators do which i always appreciate.
Please answer the geometry question
Answer:
300 feet
Step-by-step explanation:
Abe had some sweets.
He gave half of his sweets to Ben.
Ben gave one third of his sweets to Charlie.
Charlie gave one quarter of her sweets to Dawn.
Dawn gave one fifth of her sweets to Eddy.
Eddy received 6 sweets.
How many sweets did Abe have?
i’ll mark brainliest
A:C
Step-by-step explanation:
I need help I have 20mons left
Answer:
y=1/2x-7
your welcomee
Drag each tile to the correct box.
From the set {1, 2, 3, 4, 5}, find the lowest value of x that makes each inequality true. Arrange the inequalities in increasing order of the lowest value of x from the set that makes them true.
choices...
5x − 3x > 9
2x − 1 > 0
6x − 14 > 3
x + (x − 1) > 5
Answer: It took me a while but I have the answer! I got them A L L correct! And I also got a 5/0 (100%) on my Edmentum mastery test. Brainliest??????
Step-by-step explanation: (In order!)
2x - 1 > 0
6x - 14 > 3
x + (x - 1) > 5
5x - 3x > 9
solve for x;
2x+3=11?
Answer:
2x+3=11
2x=11-3
x=8/2
x=4........
Answer: [tex]x = 4[/tex]
Step-by-step explanation:
Okay, so we start with our equation.
[tex]2x + 3 = 11[/tex].
Then we need to get x alone. To do that we subtract the 3 on the side with the x.
But what we do to one side, we do to the other. So we subtract 3 from the 11 as well
2x + 3 = 11
-3 -3
2x = 8
Then we divide by 2 on both sides to get X.
[tex]\frac{2x}{2} =\frac{8}{2}[/tex]
[tex]\frac{2x}{2} = x[/tex]
[tex]\frac{8}{2} = 4[/tex]
[tex]x = 4[/tex].
please help me asap
Answer:
1. X=35 degrees obtuse
2 x=25 degrees right
Step-by-step explanation:
Background info:
The measures of the angels of every triangle is 180 degrees
So x equals 180 minus the other angles combined
1. X=180-(40+105)
X=180-145
X=35 degrees
2.
x=180-(90+65)
x=180-155
x=25 degrees
Complete each proportion by solving the value of N
1 3/5= n/35
2 15/n= 412
3 18/36= 6/n
4 n/12 = 35/42
5. 3/n = n/27
6 n/50 = 1 10
7. 60/90 = 180/n
pa answer po plsss thanksssssssssss
Answer: I can help you with this equation over messages if you would like, I cannot input my answer on this page for some reason like I usually could.
Step-by-step explanation:
state if each pair of ratios forms a proportion 4/3 and 16/12 help me
Answer:
if you multiply 4/3 by 4/4 you get 4/16.
Step-by-step explanation:
Subscribe to Clutch Gam3r on You Tube
What breaks 40 into 5 equal pieces?
a) 1/2
b) 2/10
c) 2%
d)20%
Answer:
20
Step-by-step explanation:
20 percent of 40 is 5
so 20 is d answer
A florist has 733 flowers how many full bouquet of 16 flowers can make?
Answer:
45 bouquets
Step-by-step explanation:
733 divided by 16 is 45.8125
Round that and you get 45.
Hope this helps!!!
Answer:
45
Step-by-step explanation:
733/16 = 45.81 = 45 and remainder 13
In this case we must round down since with the 13 flowers in the remainder he cannot make another bouquet.
He can make 45 bouquets.
In a survey of the most popular type of coffee sold by a cafe, latte recived 42% of the votes expresso recived 3/25 of the votes and ice belended recived 0.46 of the votes. Order the types of coffee from the most popular to the least popular.
I need help please.
Answer:
the answer is C. 2
Step-by-step explanation:
0.1÷5%