Answer:
{xl x > 5)
Hope This Helps!
Determine the probability p(1 or fewer) for a binomial experiment with trials and the success probability . Then find the mean, variance, and standard deviation.
Complete Question
Determine the probability P(1 or fewer) for a binomial experiment with n = 16 trials and the success probability p = 0.2. Then find the mean, variance, and standard deviation
Answer:
The probability is [tex]P(X \le 1 ) = 0.0484[/tex]
The mean is [tex]\mu = 3.2[/tex]
The variance is [tex]\sigma ^2 =2.56[/tex]
The standard deviation is [tex]\sigma =1.6[/tex]
Step-by-step explanation:
From the question we are told that
The probability of success is p = 0.2
The sample size is n = 16
Generally this experiment follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the the probability P(1 or fewer) is mathematically represented as
[tex]P(X \le 1 ) = P(X = 0 ) + P(X = 1 )[/tex]
=> [tex]P(X \le 1 ) = [^{15}C_0 * (0.2)^0 * (1- 0.2)^{15-0}] + [^{15}C_1 * (0.20)^1 * (1- 0.20)^{15-1} ][/tex]
=> [tex]P(X \le 1 ) = [1 * 1* 0.0352 ] + [15 * 0.20 * 0.0439][/tex]
=> [tex]P(X \le 1 ) = 0.0484[/tex]
Generally the mean for this experiment is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 16 * 0.2[/tex]
=> [tex]\mu = 3.2[/tex]
Generally the variance is mathematically represented as
[tex]\sigma ^2 = n * p * (1- p )[/tex]
=> [tex]\sigma ^2 = 16 * 0.2 * (1- 0.2)[/tex]
=> [tex]\sigma ^2 =2.56[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma ^2 }[/tex]
=> [tex]\sigma =1.6[/tex]
Encide the best answer
1. What is the sum of: -2 + 6?
Answer:
The sim is 4
Step-by-step explanation:
6 - 2 = 4, therefore the -2 and 6 are the same if fliped.
Suppose that you are in charge of organizing the music for a school dance. You survey five of your friends about the kinds of music they like. a) Did you use a census or a sample? b) Will your decisions based on this survey be biased? Why or why not? Answer both a) and b) in the space below
Answer:
A. Sample because census is an official count of POPULATION B. No it will not be biased because it is fair.
Step-by-step explanation:
A consistent dependent system of equations is a system with
Answer:
Systems of equations can be classified by the number of solutions. , . , . If a consistent system has an infinite number of solutions, it is dependent.
Using 17 flavors of ice cream, how many cones with 3 different flavors can you create if it is important to you
which flavor goes on the top, middle, and bottom?
There are
possible ways to create the ice cream cone.
Answer:
4913
Step-by-step explanation:
For combinations, if there are 17 flavors, and you have 3 spots, you have to multiply 17*17*17.
That is 4913. Is that what you are looking for? Hope it helps.
If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
what is a comparison sentence for 24=6*4
Answer:
24=6×4
24=24
therefore the the comparison sentence is 24=6×4
For which of the following sets of ordered pairs will the slope between the two points be 2/3?
O (2, -1) and (4,5)
O (3,7) and (9, 11)
O (7,6) and (5,3)
O (3,-7) and (9,-11)
Answer:
(2,-1) and (4,5)
Step-by-step explanation:
Answer:
(3,7)and(9,11)
Step-by-step explanation:
First, you do (3,7)= (3)x1 ; (7)y1. Then, (9,11)= (9)x2 ; (11)y2 and Finally,[tex]\frac{11-7}{9-3}[/tex] =[tex]\frac{4}{6}[/tex] which simplifies to [tex]\frac{2}{3}[/tex]
Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?
Answer:
4 sacks
Step-by-step explanation:
two walkers 16 miles apart travel toward each other. one travel 3 miles per hour and the other 4 miles per hour. if the latter is delayed 3 hours how many hours before they meet
Find the error in the calculations below, if there is one:
Answer:
Between line 1 and 2
Step-by-step explanation:
4x³ +2x²- 6x+ 3 (Line 1)
note that +3 can be written as -(-3), giving us:
4x³ +2x² -6x - (-3)
if we group the first two terms and the last two terms, we will get
(4x³ +2x²) + [ -6x - (-3) ] (factor out 2x from first group and -3 from second group)
= 2x²(2x +1) -3(2x - 1 )
if we compare this with (Line2) we can see that the difference is in the sign of the last term inside the second group. Hence this is where the mistake is made Between line 1 and 2
By applying an straightforward approach we conclude that the error in the calculations shown in the statement occurred from line (1) to line (2).
How to find a procedure error by applying algebra
A straightforward approach consists in applying algebraic definitions and theorems to find any difference with respect to the procedure shown on the statement. Our procedure is shown below:
4 · x³ + 2 · x² - 6 · x + 3 Given2 · x² · (2 · x + 1) - 3 · (2 · x - 1) Associative, commutative and distributive propertiesBy applying an straightforward approach we conclude that the error in the calculations shown in the statement occurred from line (1) to line (2).
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What is the value of x?
Answer:
I believe it is x+3..
Step-by-step explanation:
Answer:
x = 5
which agrees with the first answer option listed
Step-by-step explanation:
Use the proportionality associated with similar triangles, considering that the larger triangle has sides:
x + (x+5) = 2 x + 5
and
(x+1) + (x-2) = 2 x - 1
and the smaller triangle:
x and (x-2)
The we build the following proportionality:
(2 x + 5) / x = (2 x - 1) / (x - 2)
cross multiply to eliminate denominators:
(2 x + 5) (x - 2) = x (2 x - 1)
operate:
2 x^2 - 4 x + 5 x -10 = 2 x^2 - x
combine like terms:
2 x^2 + x -10 = 2 x^2 - x
subtract 2 x^2 from both sides:
x - 10 = - x
add x to both sides:
2 x -10 = 0
add 10 to both sides
2 x= 10
divide both sides by 2:
x = 5
which agrees with the first answer option listed
Help me plz I need help
Frank can purchase bags of apples in four sizes. Which size is the Best Buy?
Answer:
um what are the 4 sizes
Step-by-step explanation:
Work out the size of angle z
image included
Answer:
no image
Step-by-step explanation:
c. 425 x 9,311 =
420
6 TD
10
Answer:
x=
791435
84
,
791435
12TD
Step-by-step explanation:
1 Simplify 425x\times 9311425x×9311 to 3957175x3957175x.
3957175x=420,6TD\times 103957175x=420,6TD×10
2 Simplify 6TD\times 106TD×10 to 60TD60TD.
3957175x=420,60TD3957175x=420,60TD
3 Break down the problem into these 2 equations.
3957175x=4203957175x=420
3957175x=60TD3957175x=60TD
4 Solve the 1st equation: 3957175x=4203957175x=420.
x=\frac{84}{791435}x=
791435
84
5 Solve the 2nd equation: 3957175x=60TD3957175x=60TD.
x=\frac{12TD}{791435}x=
791435
12TD
6 Collect all solutions.
x=\frac{84}{791435},\frac{12TD}{791435}x=
791435
84
,
791435
12TD
Mixed numbers from 4 to 6 with an interval of 1/4 between each pair of numbers
Q6 Paul owns a supermarket. He discovered that on average his workers sell 500 pints of milk a
day with a standard deviation of 50 pints.
(a) If the supermarket has 600 pints in stock at the beginning of a day, what is the probability
that it will run out of milk.
(b) How many pints should the supermarket stock if it wants the probability of running out to
be 0.052
The reciprocal of 16 is
16/1
Answer:
nah its 1/16
Step-by-step explanation:
16 is 16/1 so flip it
Answer; the reciprocal of 16 is -16 hope it helped!
As the youth club are camping, Luke is keen to go when there is the least chance of rain. Where and when should he take the club camping?
Maybe the side of the mountain or a cave where rain won't be able to get to the campsite.
1.23, 1.03, 0.031
from smallest to largest
Answer:
the samllest is 0.031 after that is 1.03 and the largest is 1.23
on a number line 0 comes before 1 so 0.30 will naturally be smaller and between 1 and 2, 1.03 comes before 1.23
What is the constant of proportionality in the equation y=2xy
Answer:
2 is the constant of proportionality in the equation y = 2x .
Step-by-step explanation:
Definition of constant of proportionality
When two variables are directly proportional to each others .
Let us assume that u and v .
u \propto vu∝v
Than the equation becomes u= kv
Where k is called the constant of proportionality .
Thus in the question x and y are proportional variables .
i.e
y \propto xy∝x
y = kx
Where k is called the constant of proportionality .
Compare the equation y = kx with y=2x .
Thus
k = 2
Therefore 2 is the constant of proportionality in the equation y = 2x
the explanation is not mine only the answer
Which number is additive inverse of -4 1/4
Answer:
4 1/4
Step-by-step explanation:
the additive inverse is a number that when you add it with the number you already had, makes 0
-2 is the additive inverse of 2
so 4 1/4 is the inverse of -4 1/4
The selling price of lumber at Home Depot is $4,000, percent markup on cost is 30%. Calculate the actual cost. (Round your answer
to the nearest cent.)
Step-by-step explanation:
Selling Price=$4000
Profit Percent=30%
Cost Price;
[tex] \frac{100}{100 + pp} \times 4000 [/tex]
[tex] \frac{100}{100 + 30} \times4000 [/tex]
[tex] \frac{100}{130} \times 4000 [/tex]
[tex] \frac{10}{13} \times 4000[/tex]
[tex] \frac{40000}{13} [/tex]
$3,076.923
=$3,077.000
I am not really Good at rounding forgive me Confirm from someone please.
A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.
which of the following is true?
Answer:
In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.
Let's analyze each statement (from top to bottom)
1)The x-axis represents the number of hours, and the y-axis the charge.
Then let's find x = 2.
You can see that there is a colored dot at y = $3, and a white dot at y = $5.
Then the price for exactly two hours is $3, not $5.
Then this first statement is wrong.
2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,
This statement is wrong.
3) 1 hour and 15 minutes is in between 1 and 2 hours.
And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.
4) Here we have x > 4.
In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.
Then this statement is correct.
Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||
Answer:
YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters
Step-by-step explanation:
i took the test and got 5/5....this answer was correct
Work out the number of sides of a regular polygon, if the interior angle is 177
Answer:
Let the number of sides be x.
One interior angle is 177°
One exterior angle is 180-177 (linear pair)
= 3°
Exterior angle × Number of sides = 360
3*x = 360
x = 360/3
x = 120
Therefore, the polygon has 120 sides.
If the interior angle of a polygon is 177° then the number of sides is 120.
What is a polygon?A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments are referred to as its edges or sides.
We know, Interior angle = 180(n-2)/n, where 'n' is the number of sides.
Given, A regular polygon has interior angles of 177°.
Therefore,
177 = 180(n-2)/n.
177n = 180n - 360.
- 3n = - 360.
3n = 260.
n = 360/3.
n = 120.
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# 6
Write an equation in slope-intercept
form to represent the line
perpendicular to 2x + 10y = 3 passing
through the point (2, 3).
O y = 1/5x+3/10
O y = 5x + 13
y = 5x - 7
O y = -1/5x + 17/5
9514 1404 393
Answer:
y = 5x - 7
Step-by-step explanation:
We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.
10x -2y = ...
Removing a common factor of 2 gives ...
5x -y = 5(2) -(3) = 7 . . . . using (x, y) = (2, 3), we can find the constant
Solving for y, we get ...
5x -7 = y . . . add y-7
y = 5x -7 . . . write in the desired form
In late June 2012, Survey USA published results of a survey stating that 55% of the 579 randomly sampled Kansas residents planned to set off fireworks on July 4th. Determine the margin of error for the 55% point estimate using a 95% confidence level. The margin of error is: _____% (please round to the nearest percent)
Answer:
The Margin of Error E [tex]\simeq[/tex] 4.1 %
Step-by-step explanation:
Given that:
The sample size = 579
The sample proportion [tex]\hat p = 55\%[/tex] = 0.55
From the confidence interval of 95%
The level of significance ∝ = 1 - C.I = 1 - 0.95 = 0.05
The critical value of [tex]Z_{\alpha/2 } = Z_{0.025} = 1.96[/tex]
Thus;
The Margin of Error E = [tex]Z_{\alpha/2 } \times \sqrt{{\dfrac {\hat p ( 1 - \hat p }{n}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 1 - 0.55) }{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.55 ( 0.45 )}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{\dfrac {0.2475}{579}}[/tex]
The Margin of Error E = [tex]1.96 \times \sqrt{{4.2746114 \times 10^{-4}}[/tex]
The Margin of Error E = [tex]1.96 \times .020675[/tex]
The Margin of Error E = 0.040523
The Margin of Error E [tex]\simeq[/tex] 0.041
The Margin of Error E [tex]\simeq[/tex] 4.1%
Who can help me with this for algebra 2
