a) If we select without taking the order into consideration there are 2380.
b) If we take the order into consideration, we have 57120 ways
What is selection?We talk about the selection when we are talking about how a material can be chosen in the midst of many other materials that we have. In this case we are told that we want to choose 4 objects, without replacement, from 17 distinct objects.
If the order is not important then we need to do a combination and we have;
n!/r! (n - r)!
17!/4!(17 - 4)!
17 * 16 * 15 * 14 * 13!/4! * 13!
= 57120/24
= 2380
If we are looking at the order we have;
n!/(n-r)!
17!/(17 - 4)!
17 * 16 * 15 * 14 * 13!/13!
= 17 * 16 * 15 * 14
= 57120
Learn more about permutation:https://brainly.com/question/1216161
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In a large city school system with 20 elementary schools, the school board is considering the adoption of a new policy that would require elementary students to pass a test in order to be promoted to the next grade. The PTA wants to find out whether parents agree with this plan.
a. If they put a big ad in the newspaper asking people to log their opinions on the PTA Web site what kind of bias might they encounter.
1. response bias due to desire to give acceptable answers
2. nonresponse bias
3. bias due to the use of a voluntary response sample
4. bias due to a poor sampling frame resulting in undercoverage
5. no bias
b. If they randomly select one of the elementary schools and contact every parent by phone, what kind of bias is there?
1. bias due to the use of a voluntary response sample
2. response bias due to desire to give acceptable answers
3. undercoverage bias due to a poor sampling frame
4. no bias
5. nonresponse bias
c. Suppose they randomly select 20 parents from each elementary school. Send them a survey, and follow up with a phone call if they do not return the survey within a week. What kind of sampling was done?
1. stratified sampling
2. convenience sample
3. simple random sampling
4. voluntary response sample
What is (3x^2+ 4x - 7) / (x - 1)?
A. 3x+1
B. X-1
C. 3x+7
D. 7x-7
Answer:
[tex]\tt{}b. \: 3x + 7 [/tex]
Step-by-step explanation:
[tex]\tt{} \frac{(3 {x}^{2} + 4x - 7) }{(x - 1)} [/tex]
[tex]\tt{} \frac{{3x}^{2} + 7x - 3x - 7}{x - 1}[/tex]
[tex]\tt{} \frac{x \times (3x + 7) - (3x + 7)}{x - 1} [/tex]
[tex]\tt{} \frac{(3x + 7) \times (x - 1)}{x - 1} [/tex]
[tex]\tt{}3x + 7[/tex]
A bottled water distributor wants to determine whether the mean amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You select a random sample of 100 bottles, the mean amount of water per 1-gallon bottle is 0.994 gallon, and standard deviation of the amount of water per bottle is 0.03 gallon.
You select a random sample of 50 bottles, and the mean amount of water per 1-gallon bottle is 0.995 gallon.
a. Is there evidence that the mean amount is different from 1.0 gallon? (Use α-0.01.)
b. Compute the p-value and interpret its meaning
c. Construct a 99% confidence interval estimate of the population mean amount of water per bottle.
d. Compare the results of (a) and (c). What conclusions do you reach?
Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
Please help I’ll mark you as brainliest if correct!
Answer: 18
Explanation: 18 times 2.5 is 45. 45 +18=63
Answer:
the answer would be 25 because to get the answer you would take 63 and divide it by 2.5 and you will get 25.2 then rounding it to the nearest 10th would be 25
then after you get 25 you would put it into the equation 2.5(x) = 63 which would be 2.5(25)=63. that it y 25 would be the correct answer.
Hope this helped
Does anyone know what the answer?
Answer:
x = 7
Step-by-step explanation:
Hi,
7x - 7 = 4x + 14
3x - 7 = 14
3x = 21
x = 7
I hope this helps :)
Mike's Music charges $45 per hour. Tim's Tunes
charges $80 plus $25 per hour. If you have $240, how many hours will Mike's Music
play?
1. 6 hours
2. 5 hours
3. 6 2/5 hours
4. 5 1/3 hours
Answer:
Answer 4. (5 1/3 hours)
Step-by-step explanation:
240/45=5.333333333
Answer:
4. 5 1/3 hours
Step-by-step explanation:
Mike's music:
y = 45x
Tim's Tunes:
y = 80 + 25x
Mike's music:
y = 45x
240 = 45x
x = 240/45
x = 5 1/3
Write and simplify an algebraic expression to represent the area of the shaded region. The image is below.
Plz solve with a full proces. God bless u very much. I will give brainliest
[tex](x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9[/tex]
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?
A) P(x2 ≥ 8.2) = 0.08
B) P(x2 ≥ 8.2) = 0.04
C) P(x2 ≤ 8.2) = 0.96
D) P (x2 = 8.2) = 0.00
E) The p-value cannot be calculated because the sample size is not given.
Answer:
C) P (X2 ≤ 8.2) = 0.96
Step-by-step explanation:
P value for the test is the probability of obtaining results that have been observed in the null hypothesis statement. A very small value of p indicates that there is unlikely chance of null hypothesis being true which means that we cannot accept null hypothesis based on the small p value.
Answer:
P(χ2≥8.2)=0.04
Step-by-step explanation:
Just took the test. This was correct
What is the price of a $90 mobile phone after a 30% discount?
Answer:
I believe it would be 63 because the phone costs 90 dollars originally but with the discount being 30% (90 multiply 0.3) and you get $27. However then you gotta then subtract (90-27) to get 63.
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Part D Some of the measurements of the triangular prism with a right triangle base are shown. What is the length of the hypotenuse of the base?
Answer:
Hypotenuse = 5.7 cm
Step-by-step explanation:
Since the base is a right triangle, we would apply pythagorean theorem to find the length of the hypotenuse of the triangular base.
Pythagorean theorem is given as: c² = a² + b²,
Where,
c = hypotenuse
a = 4 cm
b = 4 cm
Substitute
(Hypotenuse)² = 4² + 4²
Hypotenuse = √32
Hypotenuse = 5.65685425
Hypotenuse = 5.7 cm (nearest tenth)
United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.
Answer:
uh
Step-by-step explanation:
Matt walked 1 mile in 15 minutes. At this rate, how many miles would he walk in 2 hours?
A family has five children. The probability of having a girl is 1/2. What is the probability of having 3 girls followed by 2 boys?
Answer:
5 1/2
Step-by-step explanation:
Image not writing all that.
Answer:
imagine
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
If the cup is only 15 cm and the pencil is 2 cm over the right amount, it would be 15
I WILL GIVE BRAINLIEST HELP
Oscar invested $5000 in an
account that pays 4% annual
simple interest. Oscar will not make
any additional deposits or withdrawals.
How much interest will Oscar earn on
his investment at the end of 3 years?
please help me
Simplify 6(11p)
Answer:
66p
Step-by-step explanation: remove the parenthesis then multiply 6 x 11p = 66p
What is the are of the arrow?
Answer:
84
Step-by-step explanation:
First you need to find the area of the square. You have to multiply 4x10 which is 40. So now you have to find the area of the triangle. To do that you have to use this equation base x Height/2. Basically 6 times 3.5 is 21/2 so its 10.5. Since you have 2 triangles you can just multiply by 2 which is 42 so 42 + 42 is 84
by how much is 68,72,526 less than a crore?
Answer:
10000000 - 6872536 = 3127474
Hence 68,72,536 is 31,27,474 less than 1,00,00,000.
Number 2 all of number 2
Answer:
1) True
2)False
3)True
Step-by-step explanation:
PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)
Answer:
True
True
False
False
Step-by-step explanation:
Not absolutely positive, but I believe this is correct.
What's negative 4 times p
Answer:
The answer will b -4p
plz can i get brainliest
Solve the following exponential equation. Round to the nearest thousandth place (3 decimal places)
5^3x+7 =311
Answer:
x= 2.432
Step-by-step explanation:
michaela spent $33 on 3 rose bushes and 3 pots of ivy. totsakan spent $92 on 12 rose bushes and 4 pots of ivy. find the cost of one rose bush and the cost of one pot of ivy
Answer:
One rose bush costs $6
One pot of ivy costs $5
Step-by-step explanation:
Set up an equation:
Variable x = cost of rose bushes
Variable y = cost of pots of ivy
3x + 3y = 33
12x + 4y = 92
I will use substitution to first solve for x:
3y = 33 - 3x
Divide both sides by 3
y = 11 - x
Substitute y value for 11 - x:
12x + 4(11 - x) = 92
Use distributive property
12x + 44 - 4x = 92
Combine like terms
8x + 44 = 92
8x = 48
Divide both sides by 8
x = 6
Solve for y by plugging in 6 for the x value:
3(6) + 3y = 33
18 + 3y = 33
3y = 15
Divide both sides by 3
y = 5
Check work:
3(6) + 3(5) = 33
18 + 15 = 33
33 = 33
Correct
find the interquartile range. its question 5 and four
Answer:
I think the interquartile range is 2.5
Step-by-step explanation:
Interquartile range = Q3-Q1.
complete the conversion
7480 yd _ mi
The answer is 4.25 miles
Alan has forgotten his 4-digit PIN code. He knows the second digit is even, and last digit is 7. How many different sets of 4 digits could it be?
Answer:
500
Step-by-step explanation:
Freshman, sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question - agree with the increase, do not agree with the increase, or no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have
Answer:
The degrees of freedom is 6 for the chi square independence test.
Step-by-step explanation:
This is test hypothesis of independence. The test statistic under H0 is
χ²= ∑ (O - E)²/ E
where O is the observed and E is the expected frequency
which has an approximate chi square distribution with ( r-1) (c-1) degrees of freedom, where r= rows and c= columns.
Here there are 4 rows and 3 columns
Hence the degrees of freedom will be
( 4-1) ( 3-1)= 3*2= 6
BC
Round your answer to the nearest hundredth.
А
50°
?
3
B
Use the sine function.
sine = opposite side of triangle divided by the hypotenuse.
Here is the set up:
sin(50°) = BC/3
sin(50°)/3 = BC
Use your calculator to simply left side.
Take it from here.
find the volume of the cone Diameter:10 m and Height:10m
Answer:
V = 260.2 m^3
Step-by-step explanation:
The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.
In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3
Answer: 262
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