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]
Determine the equation of the line given by the graph.
A)y = -2/7x+2/5
B)y = -2/7x+5/2
C)y = -7/2x+2/5
D)y = -7/2x+5/2
Answer:
y=mx+c y= -2/7+5/2 if this is right can i get brainliest and if u need explanation just ask
Answer:
D. y = -7/2x+5/2
Step-by-step explanation:
The formula for the graph would be: y = mx + c where m is the slope and c is the y-intercept.
Based on the graph, you can see that the y-intercept is 5/2 (somewhere between 5 and 0) so A and C are out. Remaining are options B and C.
Now, the slope is either -2/7 or -7/2. We will have to calculate the slope then. I will be using the points (-1, 6) and (1, -1)
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-1-6}{1-(-1)}[/tex]
= [tex]\frac{-7}{2}[/tex]
= -[tex]\frac{7}{2}[/tex] (Same as option D)
Thus, the equation would have been: -[tex]\frac{7}{2}[/tex]x + [tex]\frac{5}{2}[/tex]
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
multiple choice
picture included
will appreciate it if you help!
Answer:
D
Step-by-step explanation:
The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!
Is the answer 6 or 36 need help. The volume of a rectangular prism is 216. It's square base has sides that are 6. What is the height of the rectangular prism?
36
because you add 36 6 times so 36×6= 216
Answer:
Well, 216 divided by 6 is 36,so...
Step-by-step explanation:
The value 9 is 200% of what number?
Answer:
18
Step-by-step explanation:
If 100% is 9 then you need to multiply by 2 to get 200% which is 18.
Answer:
4.5
Step-by-step explanation:
To get from 200% to 100%, you have to divide by 2, so then do the same thing to 9.
9 divided by 2 is 4.5
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
9/10 of alien races think invading Earth is a bad idea.
What percentage of alien races think invading Earth is a bad idea?
____%
What value(s) of b will cause 3x2 + bx + 3 = 0 to have one real solution? Select all that apply.
b = –6
B.b = –9
C.b = 6
D.b = 9
Answer: -6 and 6
Step-by-step explanation:
Possible factors that could produce 3x² + 6x +3 are (x + 1)(3x + 3)
the solution for values of x: x+1=0, x= -1 3x+3=0, 3x= -3 . x= -1 . Same.
Possible factors that could produce 3x² - 6x +3 are (x - 1)(3x - 3)
the solution for values of x: x-1=0, x= 1 3x-3=0, 3x= 3 . x= 1 . Same.
From the attached graph of the possible equations, you can see that 9 and -9 won't produce ONE real solution. They each have "zeros" at two points on the x-axis. That is two solutions that would make x = 0.
The equations with -6 and +6 each touch the x-axis at only one point each.
PLEASE HELP!! DUE TODAY!!!!!
Answer:
i'm not good at algebra but i think it's 5
Step-by-step explanation:
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
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,
Simplify (W^4)^4 without parentheses
Answer:
w^16
Step-by-step explanation:
you have to multiply the exponents when this happens so 4*4=16
Help help it’s geometry I need help
Answer: X = 57.5
Step-by-step explanation:
3x - 65 + x + 15 = 180
4x - 50 = 180
4x = 230
x = 57.5
Answer:
3x-65 degrees
Step-by-step explanation:
Since the angles are vertical angles, y should equal the same value of the corresponding angle.
Is chewing gum independent of having a cavity filled recently?
A.
B.
C.
D.
Answer:
did you figure out the answer I'm sorry they don't have a comment section on ur photo
Answer:
P(Gum) ≠ P(Gum/Cavity)
Step-by-step explanation:
Answer on Edge
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)
What is the point slope form for (2,0)(4,6)
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams? 6__________170______
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit.
6__________ = 170______
To find:
The correct units from grams and ounces for these blanks.
Solution:
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation:
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
help lol i need good help-
Answer:
with what
Step-by-step explanation:
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.
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.
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
(b) 25% of what number is 17?
Answer:
68
Step-by-step explanation:
derive that 25 percent of 68 equals 17.
Answer:
25 percent of 68 equals 17.
Step-by-step explanation:
Input
х
Output
Y
1
0
1
A
5
B
31
с
46
D
25
76
Answer: 46
Step-by-step explanation:
Yes !!
what does x equal?
4x+7=31
Answer:
x = 6
Step-by-step explanation:
First, subtract 7 from both sides to get x alone. That will give you 4x = 24 .
Then divide both sides by 4 to remove the coefficient of x. That means x = 6.
4x+7=31
-7 -7
4x=24
÷4 ÷4
x = 6
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
What is proportional reasoning and how does it help you solve percent equations?
Answer:
We can't set up a proportion to solve for x in a percent equation. For example, 34/100=5/x
Step-by-step explanation:
please answer fast :(((
Answer:
KP = 6
Step-by-step explanation:
From the information given, K is the centroid.
Therefore, based in the centroid theorem:
KP = ⅓(AP)
AP = 18
Plug in the value of AP into the equation
KP = ⅓(18)
KP = 6