Answer:
The probability is 0.18
Step-by-step explanation:
Here, we are interested in calculating a conditional probability;
Let the event that a voter is a Republican be R , the event that a voter is a Democrat be D and that a voter is an independent is I
Let the event that the election issue is favored be F
We have the following probabilities;
P(R) = 46% = 0.46
P(D) = 45% = 0.45
P(I) = 1-0.45-0.46 = 0.09
The conditional probability we want to calculate is;
P(D | F) which can be read as probability of event D given event F
From the question, we can identify the following conditional probabilities;
P(F|R) = 0.46 * 0.5 = 0.23 (0.5 is gotten from 50% = 50/100)
P(F | D) = 0.45 * 0.4 = 0.18
P( F | I) = 0.09 * 0.6 = 0.054
P(F) = 0.054 + 0.18 + 0.23 = 0.464
Mathematically; From Baye’s theorem
P( D | F) ={ P ( F | D) * P(D) }/ P(F)
P( D | F) = (0.18 * 0.45)/0.464 = 0.1745
The data represents the number of ounces of water that 26 students drink before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64 64,64, 64,64,64,80,80,80,88,88,88. Create a dot plot for the data.
*correct data set given: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.
Answer:
See attachment
Step-by-step explanation:
To create a dot plot, first, prepare a tally for the given data set as follows:
Ounces of water => frequency
8 => 3
16 => 3
32 => 6
64 => 7
80 => 4
88 => 3
Next is to draw a scaled horizontal line. This will indicating the number of ounces of water each student drank. The frequency for each will determine how many dot to be plotted against each amount of ounces represented.
A simple dot plot has been created and attached below. Each dot represents the amount of water, in ounces, drank by each of the 26 students.
Answer:
See Explanation
Step-by-step explanation:
The data give is for 25 students not 26 as stated in the question
First, we need to plot the frequency table:
This is done as follows:
Ounces of Water ----- Frequency
8 ----------------------------- 3
16 ----------------------------- 3
32 ---------------------------- 6
64 --------------------------- 7
80 ----------------------------- 3
88 ----------------------------- 3
Next, we can now plot the dot plot using an interval of 8 on the x axis
(See Attachment)
What is the LCM for 12 and 15?
20
1
60
8
Answer:
60
Step-by-step explanation:
The multiples of 15 are : 15, 30, 45, 60, 75, 90, .... 60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples. Therefore, the lowest common multiple of 12 and 15 is 60.
Answer:
the LCM is 60
Step-by-step explanation:
Use the method of mathematical induction to prove that for each integer n≥1, 5+9+13+⋯+(4n+1)=2n^2+3n
Answer:
Step-by-step explanation: 834^2n>4n
Lisa worked two more than twice as many hours as Robert
Answer:
2x + 2
Step-by-step explanation:
robert equals x
Answer:
it would have to be 2x+2 to get ur x for robett
I’m so confused someone help please! (Geometry)
Answer:
Therefore, x = 23°, ∠LKM = 56° and ∠MKN = 89° .
Step-by-step explanation:
Given that ∠LKN is 145° so we can assume that ∠LKM addes together with ∠MKN will get 145° in terms of x :
[tex]∠lkn = ∠lkm + ∠mkn = 145[/tex]
[tex]2x + 10 + 4x - 3 = 145[/tex]
[tex]6x + 7 = 145[/tex]
[tex]6x = 145 - 7[/tex]
[tex]6x = 138[/tex]
[tex]x = 138 \div 6 = 23[/tex]
Next, we have to substitute x = 23° into the expressions of ∠LKM and ∠MKN :
[tex]∠lkm = 2(23) + 10 = 56[/tex]
[tex]∠mkn = 4(23) - 3 = 89[/tex]
The sum of three numbers is 26. The second number is twice the first and the third number is 6 more than the second. Find the numbers
Answer:
5
Step-by-step explanation:
x + 2x + 6+x = 26
2x + 2x = 26 - 6
4x = 20
x = [tex]\frac{20}{4}[/tex]
∴ x = 5.
4. A puppy weighed 35 pounds when she visited the vet last year. This year,
she weighs 68 pounds. Solve the equation 35 + w = 68 to find how many
pounds the dog gained during the year.
a. 103 pounds
b. 93 pounds
C. 35 pounds
d. 33 pounds
Find the quotient.
(6x2 - x - 40) = (5 + 2x)
Answer:
factoring: x=3 discriminant: 1089
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2−x−40=5+2x
Find the reciprocal of 10^-7
Answer:
The reciprocal of 710 is simply 107
Step-by-step explanation:
The reciprocal means flip the top and bottom. The reciprocal of 710 is simply 107 .
Answer:
the answer is The reciprocal of 710 is 107
Step-by-step explanation:
Ellen O'Brien earns $23.68 per hour. Approximately how many hows must she work for her weekly gross pay to be $900.00 per week? *
Answer:
38.0067567568 hours
Step-by-step explanation:
Round this number the nearest hundredth 7.349
Answer:
Step-by-step explanation:
It is 7.3
A bucket is slowly leaking, losing 1/4 of liter of water in 1/2 of a day. At what rate is the bucket leaking?
Answer: 850ml
Step-by-step explanation:
IL = 1 000ml
1/4 × 100
= 850ml
Answer: it 1/2
Step-by-step explanation: i got the answer on test!!!
Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to measure the length of their right foot in centimeters. A 95% confidence interval for the mean foot length for students at this college turns out to be (21.709, 25.091). If instead a 90% confidence interval was calculated, how would it differ from the 95% confidence interval?
Answer:
The confidence interval for 90% confidence would be narrower than the 95% confidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 41
For a 95% confidence the level of significance is [tex]\alpha = [100 - 95]\% = 0.05[/tex] and
the critical value of [tex]\frac{\alpha }{2}[/tex] is [tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96[/tex]
For a 90% confidence the level of significance is [tex]\alpha = [100 - 90]\% = 0.10[/tex] and
the critical value of [tex]\frac{\alpha }{2}[/tex] is [tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645[/tex]
So we see with decreasing confidence level the critical value decrease
Now the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }[/tex]
given that other values are constant and only [tex]Z_{\frac{\alpha }{2} }[/tex] is varying we have that
[tex]E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }[/tex]
Hence for reducing confidence level the margin of error will be reducing
The confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower
Using confidence interval concepts, according to the margin of error, the 90% confidence interval would be narrower than the 95% confidence interval.
The margin of error of a confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The higher the margin of error, the wider the interval is.
The lower the confidence interval, the lower the critical value is. Hence, a 90% confidence interval has a lower critical value than a 95% confidence interval, leading to a smaller margin of error and a narrower interval.A similar problem is given at https://brainly.com/question/22966154
A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces. Which model shows the comparison
Answer: 8
Step-by-step explanation:
Convert to pints: 6 quarts
Answer:
12 pints
Step-by-step explanation:
I’m stuck on this one please help
Answer:
for C i would say its 2
Step-by-step explanation:
The Alliance Corp. expects to sell the following number of units of copper cables at the prices indicated, under three different scenarios in the economy. The probability of each outcome is indicated. Outcome Probability Units Price A 0.30 285 $ 32 B 0.40 490 47 C 0.30 750 57 What is the expected value of the total sales projection?
Answer:
The expected value of the total sales projection is $24,773.
Step-by-step explanation:
Let sales be A,B and C respectively for each outcome.
Total Sales = A + B + C
E(Total Sales) = E(A + B + C)
We know that A, B and C are three mutually exclusive events as they all cannot be true at a given point time
E(Total Sales) = E(A) + E(B) + E(C)
= 0.3*285*32 + 0.4*490*47 + 0.3*750*57
= $24,773
Therefore, expected value of the total sales projection is $24,773.
The ages (in years) and heights (in Inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for each of the two data sets. Then compare the
results.
***data set in picture attached***
CV heights= __% (Round to one decimal place as needed.)
Answer:
a) Coefficient of Variation for Height = 4.46%
b) Coefficient of Variation for Ages
= 12.26%
c)Comparing both Variations, the coefficient of variation for ages is larger than that of the mean and this is due to the fact that the
Step-by-step explanation:
Coefficient of Variation formula = Standard deviation / Mean × 100%
From the attached diagram, we are given sample data
1) For the Height
a) Mean of the Heights
= Sum of term/ Number of terms
= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12
= 884/12
= 73.66666667
b) Standard Deviation of Heights
For Sample data, the formula
=√ (X - Mean)²/n - 1
= 3.284490644
c) Coefficient of variation for Heights
Coefficient of Variation formula = Standard deviation / Mean × 100%
=( 3.284490644/73.66666667) × 100
= 0.04458584584 × 100
= 4.45858458441%
≈ 4.46%
2) Mean of ages
= Sum of terms/ Number of terms
= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12
= 330/12
= 27.5
b)Standard Deviation of Ages
For Sample data, the formula
=√ (X - Mean)²/n - 1
= √ (21 - 27.5)² + (26- 27.5)² +( 22- 27.5)² + (27- 27.5)² + (29- 27.5)² +( 26- 27.5)² +( 27- 27.5)² + (29- 27.5)² + (30 - 27.5)² + (31- 27.5)² + (31- 27.5)²+ (31- 27.5)²/12
=√ -6.5² + -1.5² + -5.5²+ -0.5² + 1.5² + -1.5² + -0.5² + 1.5² + 2.5² +3.5² + 3.5² + 3.5²/ 11
= √125/11
= √11.36363636
= 3.370999312
c) Coefficient of Variation
= Coefficient of Variation formula = Standard deviation / Mean × 100%
= (3.370999312/27.5) × 100
= 0.12258179316 × 100
= 12.258179316%
It should be noted that the coefficient of variation for height will be 4.46%.
How to calculate the coefficient of variationThe Coefficient of Variation formula will be:
= Standard deviation / Mean × 100%
The mean of the heights will be:
= Sum of term/ Number of terms
= 74 + 70 + 70 + 76 + 77 + 72 + 75+ 70 + 70 + 80 + 75 + 75/12
= 884/12
= 73.7
The standard deviation of heights is 3.28. Therefore, the coefficient of variation for heights will be:
= ( 3.28/73.7) × 100
= 4.46%
The mean of ages will be:
= 21 + 26 + 22 + 27 + 29 + 26 + 27 + 29 + 30 + 31 + 31 + 31/12
= 330/12
= 27.5
The standard deviation of ages is 3.37. Therefore, the coefficient of variation will be:
= (3.37/27.5) × 100
= 0.123 × 100
= 12.3%
In conclusion, the coefficient of variation for ages is larger than that of the mean.
Learn more about coefficient of variation on:
https://brainly.com/question/12327871
5x-11=3x+5 solve for ”x”
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
5x - 11 = 3x + 5
Step 2: Solve for x
Subtract 3x on both sides: 2x - 11 = 5
Add 11 to both sides: 2x = 16
Divide both sides by 2: x = 8
Step 3: Check
Plug in x to verify it is a solution.
5(8) - 11 = 3(8) + 5
40 - 11 = 24 + 5
29 = 29
Which of the following is a quadratic equation that has the roots x = 5 and x = 6?
x2 − 11x = −30
x2 − 11x = 30
x2 + 11x + 30 = 0
x2 + 11x = 30
Answer:
x2 - 11x = -30
Step-by-step explanation:
x^2 - 11x = -30
add 30 to the left to make it = to zero
x^2 - 11x + 30 = 0
factor
(x-5)(x-6) = 0
check by FOIL
x times x = x^2
x times -6 = -6x
x times -5 = -5x
-6 + -5 = 11x
-5 times -6 = 30
Please help!!! Use the number line to add the fraction. Drag and drop the answer into the box to match the sum.
Answer:
1/8
Step-by-step explanation:
3/4 can be rewritten as 6/8 to make this easier.
-5/8 + 6/8 is like doing -5 + 6, giving you 1. We can then reintroduce the denominator to get the answer of 1/8.
Evaluate the algebraic expression for the given values of x = 3 and y = 4 7x - 2y - 1 =
Step-by-step explanation:
The expression is 7x-2y-1.
If x=3, then you multiply 3 and 7.
7x3=21.
21-2y-1
If y=4, then you multiply 4 and 2.
4x2=8.
21-8-1
Then you combine like terms.
21-9
So the answer is 11.
Hope it helps!
Answer:
8
Step-by-step explanation: Make sure to double-check and go in order !
Which algebraic expression is a polynormial
Answer:
Polynomials in one variable are algebric rcpressions that consist of terms in the form axn a x n where n id a non-negayive(i.e positive or zero)integer and a is a real number and is called the coefgicient of the term.The degree of polynomial in ine variable is the largest exponent in the polynomial.
Write a number to describe losing 6 points
Answe 6-6
Step-by-step explanation: i hade 6 point and i lost 6 points hint 6-6
Answer:
-6 :(
Step-by-step explanation:
given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens.
answer: f(x)= 3x^2-9x+3
Need help on all will give Brainlyist
Answer:
O= 0.6 E= 0.15 H= 0.25
E= 0.4 A= 0.024 N= 0.75
V= 0.58 Y= 174 R= 0.8
E= 17.1 E= 1.74 T= 0.008
S= 19.9
Step-by-step explanation:
EVERYONE _HATES
there is no 0.45 so a missing letter
A hamster drinks 7/12 ounce of water a day. How many days will 2 1/4 ounces of water last ?
Solve the inequality -8r < -12
Answer:
r>3/2
Step-by-step explanation:
Hope this helps!!
One number is three less than another. Their sum is seven. Find both number.
Answer: one number is 2 and the other is five
Step-by-step explanation: subtract 3 from five and you get two then add them together to get 7. hope this helps.
Emma wrote thirty-six thousand,forty-two as 3,642. Explain what she did wrong. Then write the number correctly
Answer:
she forgot to Putin a 0 for example
36,042
