a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
simplify 4+3x=22
Step by step explanation
Answer:
x = 6
Step-by-step explanation:
Rearrange terms
4 + 3 = 2 2
3 + 4 = 2 2
Subtract 4 from both sides of the equation
3x+4=22
3 + 4 − 4 = 2 2 − 4
Simplify (Subtract the numbers )
3 = 1 8
Divide both sides of the equation by the same term
3 = 1 8
3 / 3 = 1 8 /3
Simplify (Cancel terms that are in both the numerator and denominator
Divide the numbers )
= 6
Can you help me plz?
Answer:
oki
Step-by-step explanation:
A boy who is 3 feet tall can cast a shadow on the ground that is 7 feet
long. How tall is a man who can cast a shadow that is 14 feet long?
Find 4cos2a, if
[tex] \cos(a) = \frac{ \sqrt{3} }{2} [/tex]
If you mean to find 4 cos(2a), then recall the double angle identity for cosine:
cos(2x) = 2 cos²(x) - 1
so that
4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)
Lisa is a hairdresser. A cut and color is $85. If her customer gives her a 15% tip on the total cost, how much of a tip would Lisa get?
Answer:
$12.75 I think
Step-by-step explanation:
Answer:
Lisa got a total tip of $12.75.
Step-by-step explanation:
To answer this question, we just need to find 15% if $85.
85 x 0.15 = 12.75
This means, Lisa got a total tip of $12.75.
Hope this helps! :D
Please help with this. I will give you 5 score
The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____.
Answer:
The standard error of the mean remains unchanged.
Step-by-step explanation:
Given that:
The standard error (S.E) of the mean [tex]= \dfrac{\sigma}{\sqrt{n}}[/tex] with is independent of confidence coefficient.
The margin of error [tex]E = z \times S.E[/tex]
This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.
i.e.
From the question;
sample size n = 100
standard deviation = 1
mean = 3.0
The standard error (S.E) of the mean [tex]= \dfrac{1}{\sqrt{100}}[/tex]
= 0.1
So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.
use the distributive property to find the answer to 21 x 4
Answer:
21(4)
Step-by-step explanation:
=84 that's all u have to do
14.
Find the sum of the expression: 87.75 – 7.25 =
A. 80.50
B. 79.25
C. 80.25
D. 80.80
Answer:
A
Step-by-step explanation:
87.75-7.25=80.50
Answer:
A. 80.50
Step-by-step explanation:
Fill in the missing numbers to complete the pattern:
1.31, 1.81, _____ ,2.81, _____ ,3.81
Answer:
2.31 and 3.31
Step-by-step explanation:
since .81 is repeating, we can assume .31 does too
Write an expression that represents the product of q and 5 divided by 2. Plz Help Me
Answer:
(5q)/2Step-by-step explanation:
Since we want the q x 5 to be done first, we must use parentheses.
(5q)/2 (5q is a shorthand way to wrote 5 times q)
The question is in the image below, please and thank you!
GIVING BRAINLIEST PLEASE HELP!!!!!!!!!!!!!!!! Calculate the correlation coefficient of the following data: (1,1) (2,3) (3,6) (4,2) (7,9) (8,6) (10,7)
Answer:
The value of R is 0.7482.
Step-by-step explanation:
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
r = 0.7482
Sorry if I get this wrong Because not for sure how you need the awnsers I dont know if this is the right way
Mx: 5.000
My: 4.857
Sum: 68.000
Sum: 50.857
sum: 44.000
X Values
∑ = 35
Mean = 5
∑(X - Mx)2 = SSx = 68
Y Values
∑ = 34
Mean = 4.857
∑(Y - My)2 = SSy = 50.857
X and Y Combined
N = 7
∑(X - Mx)(Y - My) = 44
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 44 / √((68)(50.857)) = 0.7482
Meta Numerics (cross-check)
r = 0.7482
Meg ate 3/8 pound of blueberries. Jon ate 7/8 pound of blueberries. How many more pounds did Jon eat than
Meg?
Please help me
Answer:
4/8 more pounds
Step-by-step explanation:
7/8-3/8=4/8
Answer:
Jon ate 5/8 more pounds of blueberries than Meg.
Step-by-step explanation:
This is because the question is asking for the difference between how many blueberries Meg ate, and how many Jon ate. Therefore, we have to use subtraction.
7/8 - 3/8 = 5/8, therefore Jon ate 5/8 lb more than Meg.
What is the point slope form for (2,0)(4,6)
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
What is the type of correlation for the plot?
why is side BD equal to side CE
Answer:
At each vertex at least 3 faces meet (maybe more).
Step-by-step explanation:
A store is on sale for 75% less than it’s original price of $24
Answer:
So wouldn't it be like $6 as the actual price now.
Step-by-step explanation:
Hope this helps if not let me know.
Sorry if it is wrong,
help lol i need good help-
Answer:
with what
Step-by-step explanation:
The number that represent the parts per 100 is called the part
Answer: Is their a graph or something that goes with this. I dont understand.
Step-by-step explanation:
Answer:
What do you want to find?
Step-by-step explanation:
I don't understand...
Add more details and then I'll answer
Use the distributive property to write an equivalent expression. 8(10p + 6q - 1)
Answer:
80p + 48q - 8
Step-by-step explanation:
Assume that last year in a particular state with 700000 children there were 1205 children out of 32600 in a random sample who were diagnosed with Autism Spectrum Disorder. Nationally, 1 out of 88 children are diagnosed with ASD. Is there sufficient data to show that the incident rate of ASD is higher in that state than nationally
Answer:
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
Step-by-step explanation:
The population follows a binomial distribution, and the fact that
p₀ = 1205/32600 = 0,03696 and then q₀ = 1-0,03696 = 0,9630
And both
p₀*n = 0,03696*32600 = 1205 > 10
q₀*n = 31395 > 10
The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.
Therefore:
Hypothesis Test H₀ ⇒ p₀ = p
Alternative Hypothesis Hₐ ⇒ p₀ > p
p is the population proportion mean
p = 1/88 = 0,011
We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %
CI = 95 % α = 5 % α = 0,05
Critical value for 0,05 is from z-table z(c) = 1,64
We compute z(s)
z(s) =( p₀ - p )/ √ p₀*q₀/n
z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600
z(s) = 0,02596* 180,55/ √ 0,0356
z(s) = 4,687 / 0,189
z(s) = 24,9
Comparing z(s) and z(c) 24,9 > 1, 64
z(s) is out of the acceptance region and we have to reject H₀
We accept Hₐ there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally
The WHS Football team is trying to raise money to buy new equipment so the players are selling wacko cards for $20 each if the football team needs to raise at least $3000 for equipment right any quality to represent the situation and find the least number of wacko cards the team must sale
Answer:
150
Step-by-step explanation:
3000/20
150.
$$$$$$$$$$$$$$$$$
PLEASE HELP!! DUE TODAY!!!!!
Answer:
i'm not good at algebra but i think it's 5
Step-by-step explanation:
slope = 2; y-intercept = -1
Answer:
line equation: y= 2x-1
Slope intercept formula
y=mx+b
m is also the slope
b is the y-intercept
y=2x+(-1)
+ positive sign and -negative sign= - negative sign
y=2x-1
Answer :
y=2x-1
what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah
Answer:
I have no idea
Step-by-step explanation:
sigh
12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...
first you start with12345676543234567654323456788765 x 1234567654321234567
=
1.5241573e+49
then you multiply the rest1.5241573e+49 x 12345678876543234567876543234
=
1.8816757e+77
now times by 41.8816757e+77 x 4
=
7.5267028e+77
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bro this was so hard , , ,
if you have a GCF of x is that a root?
Answer:
No,
Step-by-step explanation:
No, GCF is not a root, it is the coefficient of x.
Input
х
Output
Y
1
0
1
A
5
B
31
с
46
D
25
76
Answer: 46
Step-by-step explanation:
Yes !!
The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.