Answer:
1/21
Step-by-step explanation:
Total: 7
P(reggae and reggae)
= 2/7 × (2-1)/(7-1)
= 2/7 × 1/6
= 1/21
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property tax change. 25% of those who responded said they were in favor of the change. The company running the survey wants to construct a confidence interval estimating the proportion of all adults in the town who support the change. Which of the conditions for inference have been satisfied?
I. Random condition
II. Normal condition
III. 10% condition
A) I
B) II
C) I and III
D) II and III
E) I, II, and III
Answer:
C) I & III
Step-by-step explanation:
Given:
Sample size, n = 18
Sample proportion = 25% = 0.25
Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.
For the normal condition to be satisfied, np should be greater than 10, ie np > 10.
In this case, np = 18 * 0.25 = 4.5
Since np is less than 10, the normal condition was not satisfied.
For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.
Here, the sample size is 18 and the population is 1500. Therefore,
[tex] \frac{18}{1500} * 100 = 1.2 [/tex]
Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.
The correct option is C, because only I & III were satisfied.
Translate the sentence into an inequality.
The quotient of b and 7 is greater than or equal to 26.
Answer: b/7>=26
Step-by-step explanation:
Answer:
[tex]\frac{b}{7} \geq 26[/tex]
Step-by-step explanation:
1) we are given "the quotient of b and 7", quotient means to divide and since b comes before 7 it must be [tex]\frac{b}{7}[/tex]
2) "greater than or equal to" means that the [tex]\frac{b}{7}[/tex] from earlier must be either greater than, or the same value as the following number so you use this sign: [tex]\geq[/tex]
3) 26 comes last in the problem meaning it must come after the [tex]\geq[/tex] sign
4) you then combine them together to get [tex]\frac{b}{7} \geq 26[/tex] !
Hope this helps!
Calculate the perimeter
Answer:
Sqare = 6+6+6+6 = 6*4 = 24
Rectangle = 6+6+18+18 = 12+36 = 48
24+48 = 72
The perimeter is 72.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
3/k = x
Step-by-step explanation:
5kx +6 = 7kx
Subtract 5kx from each side
5kx -5kx +6 = 7kx-5kx
6 =2kx
Divide each side by 2k
6 /2k = 2kx/2k
3/k = x
If a = 5 units , b = 8 C = 4 Units, and d = 3 units what is the volume of the composite figure?
Answer:
[tex]V = 208\,u^{3}[/tex] (Option C)
Step-by-step explanation:
The volume of the composite figure is:
[tex]V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)[/tex]
[tex]V = 208\,u^{3}[/tex] (Option C)
PLEASE HELP
Which of the following inequalities is true according to the number line?
Answer:
A ≥ D
Step-by-step explanation:
What is the probability of flipping tails and rolling a three?
This includes a quarter and dice.
Answer:
1/12
Step-by-step explanation:
There is a 1/6 probability of getting a 3 on a dice roll because there are 6 sides, and there is a 1/2 probability of flipping a tails because there are only 2 possibilities in a coin, if you multiply these 2 values you get 1/12 which is the answer.
**10 POINTS PLEASE HELP**
Can each of the shapes below be expressed as a composite figure of equilateral triangles? Select Yes or No for each shape.
A pyramid
(select)
A hexagon
(select)
A pentagon
(select)
Answer:
A pyramid yes
a hexagon no
a pentagon no
Step-by-step explanation:
The series 14 + 6 + (–2) + (–10) + . . . + (–154) is arithmetic. How many terms are in the series?
Answer:
22
Step-by-step explanation:
In the series 14 + 6 + (–2) + (–10) + . . . + (–154)
The gap between entities is 8.
Therefore number of entities between -10 and -154 = (154 - 10)/8 =18
Total number of terms in the series = 18 + 4 = 22
There are 22 terms in the given arithmetic series.
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
In the given arithmetic series 14 + 6 + (–2) + (–10) + . . . + (–154)
The common difference between entities is 8.
Therefore, the number of entities between -10 and -154
= (154 - 10)/8
=18
The Total number of terms in the series = 18 + 4 = 22
Hence, there are 22 terms in the given arithmetic series.
Learn more about arithmetic sequence here:
https://brainly.com/question/3702506
#SPJ2
Calculate the indicated value of each function. f(x) = –15x^2+9. Find f(12).
Answer:
-2151
Step-by-step explanation:
f(x) = –15x^2+9.
Let x = 12
f(12) = -15 ( 12)^2 +9
= -15 (144) +9
= -2151
Answer:
-2151
Step-by-step explanation:
F(x) = -15x^2 + 9
F(12) = -15 (12)^ 2 + 9
= -15 * 144 + 9
= -2160 + 9
= -2151
I run a book club with $n$ people, not including myself. Every day, for $365$ days, I invite four members in the club to review a book. What is the smallest positive integer $n$ so that I can avoid ever having the exact same group of four members over all $365$ days?
Answer: 12
Step-by-step explanation:
If we have n people and we want to do groups of 4, the total number of different combinations is:
[tex]c = \frac{n!}{(n - 4)!4!}[/tex]
and we want find the smallest n such c > 365.
let's do it by brute force:
if n = 5, we have:
[tex]c = \frac{5!}{1!*4!} = 5[/tex]
if n = 6
[tex]c = \frac{6!}{2!*4!} = \frac{6*5}{2} = 15[/tex]
if n = 7
[tex]c = \frac{71}{3!*4!} = \frac{7*6*5}{3*2} = 35[/tex]
if n = 8
[tex]c = \frac{8!}{(4!*4!} = \frac{8*7*6*5}{4*3*2} = 70[/tex]
if n = 9
[tex]c = \frac{9!}{5!*4!} = \frac{9*8*7*6*5}{5*4*3*2} = 126[/tex]
if n = 10
[tex]c = \frac{10!}{6!*4!} = \frac{10*9*8*7}{4*3*2} = 210[/tex]
So you can see the patern here.
So we have the previous number multiplied by n and divided by n - 4
if n = 11
C = 210*11/(11- 4) = 330
if n = 12
C = 330*12/(12 - 4) = 495
Then the minimum number of members such we have more than 365 combinations is 12 members
Julie went to the store with $20.00. if she bought 8 cans of dog food for $.67 per can, how much money did she have left? IF YOU ANSWER THIS QUESTION, I WILL RATE YOUR ANSWER 5 STARS, BRAINLIEST ANSWER, AND A THANK YOU!
PLEASE ANSWER THIS QUESTION ASAP!
Answer:
$14.64
Multiply 8 by .67 which is 5.36
Subtract 5.36 from 20.00 and that's 14.64
Answer:
14.64
Step-by-step explanation:
Have a wonderful day hope this helps
Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Answer:
1/25 miles per minute
Step-by-step explanation:
Speed is distance divided by time
1/5 miles ÷ 5 minutes
Copy dot flip
1/5 * 1/5
1/25 miles per minute
Answer:
speed(v)=1.07
Step-by-step explanation:
v=m/s (1/5 mile is 321 m and 5 min is 300 seconds)
=321/300=1.07
Solve both equations the lines are absolute value and please include detailed steps for each
I’ll report you if you don’t put a legit answer.
Answer:
see below
Step-by-step explanation:
|x+8| ≤ 4
Separate into two equations one positive and one negative , remembering to flip the inequality for the negative
x+8 ≤ 4 x+8 ≥ -4
Subtract 8 from each side
x+8 -8 ≤ 4-8 and x+8-8 ≥ -4-8
x ≤-4 and x ≥ -12
Writing as one function
-12 ≤x ≤-4
|x-8|+5 ≥ 11
Subtract 5 from each side
|x-8|+5-5 ≥ 11-5
|x-8| ≥ 6
Separate into two equations one positive and one negative , remembering to flip the inequality for the negative
x-8 ≥ 6 or x-8 ≤ -6
Add 8 to each side
x-8+8 ≥ 6+8 or x-8+8 ≤ -6+8
x ≥ 14 or x ≤ -2
Answers and Step-by-step explanations:
9. | x + 8 | ≤ 4
Remember that absolute value just denotes the distance between the argument within the absolute value signs and 0 on a number line. That means that if the item within the absolute value is negative, the absolute value of it will be the positive value because distance is always positive.
That means we have 2 cases here: x + 8 > 0 (positive) or x + 8 < 0 (negative).
Case 1: x + 8 > 0
x + 8 ≤ 4
x ≤ -4
Case 2: x + 8 < 0
-(x + 8) ≤ 4
-x - 8 ≤ 4
-x ≤ 12
x ≥ -12
Combining these two inequalities, we get:
-12 ≤ x ≤ -4
10. | x - 8 | + 5 ≥ 11
Let's isolate the absolute value expression by subtracting 5 from both sides: | x - 8 | ≥ 6
We again have two cases: x - 8 > 0 and x - 8 < 0.
Case 1: x - 8 > 0
x - 8 ≥ 6
x ≥ 14
Case 2: x - 8 < 0
-(x - 8) ≥ 6
-x + 8 ≥ 6
-x ≥ -2
x ≤ 2
Combining these two inequalities, we get:
x ≤ 2 and x ≥ 14
760-__=214=225+231need help
Hey, actually I am new here, otherwise I was on brainly.in (India)....so can anyone tell me about some moderators here.....need help....
Is 656250 divisible by 10?
Answer:
Yes 656250 is divisible by 10. Answer is 656250.
A population of 100 insects tripled in size every month. Write a function formula to represent the insect population after x months
Answer:
3x+100
Step-by-step explanation:
The city of Omaha decided to build a new parking garage in hopes of luring more people to the Old Market district.The city will pay for the parking garage through parking fees. For a random sample of 42 weekdays, daily fees collected averaged $126 with a standard deviation of $16. The consultant who advised the city on the project estimated the potential parking revenues to be $135 per day, though the city believes that estimate is too high. Perform a hypothesis test (by hand) using α=0.05 to check the advisor's claim that the revenue would be $135 per day. Include the following:
1. Write your hypotheses in both symbols and words.
2. Test an appropriate hypothesis "by hand" using an alpha level of 0.05. Assume conditions are met (so don't check them). Be sure to include the correct probability notation and use the editor for all work.
3. Support your test with the corresponding confidence interval, again "by hand". Use the editor to show all steps.
4. Write your 3-part final conclusion using the test results and interval results. Include a sentence that states whether the test and interval results agree.
Answer:
Given:
Mean, u = 135
Sample size, n = 42
Sample mean, x' = 126
Standard deviation = 16
Significance level = 0.05
1) The null and alternative hypotheses:
H0 : u = 135 (the revenue per day is $135)
H1 : u < 135 (the revenue per day is less than $135)
2) In this case, we have a left tailed test.
Let's use the formula:
[tex] = \frac{x' - u}{s/ \sqrt{n}} = \frac{126 - 135}{16 / \sqrt{42}} = -3.645 [/tex]
t = - 3.645
Critical value: at a significance level of 0.05, left tailed test,
tcritical = -1.683
We reject null hypothesis, H0, since t calculated, -3.645 is less than tcritical, -1.683.
3) Given, a = 0.05, df = 41, left tailed test,
t-value = 2.02
For the corresponding confidence interval, we have:
[tex] CI = (x' - \frac{t * \sigma}{\sqrt{n}}, x' + \frac{t * \sigma}{\sqrt{n}}) [/tex]
[tex] CI = (126 - \frac{2.02 * 16}{\sqrt{42}}, 126 + \frac{2.02 * 16}{\sqrt{42}}) [/tex]
CI = (121.014, 130.986)
4) Conclusion:
We reject the estimated potential revenue advised by the consultant, H0, as it is too high, because the t-calculated falls in rejection region(i.e, less than critical value), also the upper limit of the confidence interval is less than $135.
A mixture of 5 pounds of fertilizer A, 13 pounds of fertilizer B, and 4 pounds of fertilizer C provides the optimal nutrients for a plant. Commercial brand X contains equal parts of fertilizer B and fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. How much of each fertilizer brand is needed to obtain the desired mixture? (If the system is dependent enter a for brand X and enter brand Y and brand Z in terms of a.)
Answer:
x = 2; y = 3; z = 1
Step-by-step explanation:
For the first fertilizer (A) we can form the equation:
y + 2z = 5
For the second fertilizer (B) we can form the equation:
x + 2y + 5z = 13
For the third fertilizer (C) we can form the equation:
x + 2z = 4
solving simulteneously:
y = 5 - 2z
x = 4 -2z
Substituting (i) and (ii) into (2)
4 - 2z + 10 -4z + 5z = 13
14-z =13, therefore z = 1
substituting z into (i) and (ii)
y = 3
x = 2
A triangle xyz has vertices
X (6,4), Y (5,-3) and (5,-1).
Find
whether
it's a
scalene triangle
Answer:
yes scalene as xy=7cm
xz=5cm
yz=2cm
Step-by-step explanation:
by the graph
hope this helps plzz mark me brainliest
Answer:
Scalene
Step-by-step explanation:
Let's find XY, XZ and YZ
XY = √[(6-5)^2 + (4-(-3)] = √[(1^2 ) + (7^2)]=√(1+49) =√50 = 7.0711
YZ = √[(5-5)^2 + (-3 -(-1))^2 ]=√[(0^2) + (-2)^2] =√(0 + 4) = 2
XZ = √[(6-5)^2 + (4-(-1)^2] = √[(1^2 ) + (5^2)]=√(1+25) =√26 = 5.099
By observation XY , XY and YZ are not the same; hence none of the sides is equal
A scalene triangle has no side equal
What type of number is the square root of 13
A decimal
3.60555127546
Have a great day
To be honest, I really don’t understand this and need someone to help me out.
Answer:
A.
Explaintion:
n=13. 13+2 = 15
I hope this helps ( :
Answer: B
Step-by-step explanation:
because 4 is the number of (n) plus the 2
What is the area of a circle?
Answer:
area=πr2
Step-by-step explanation:
pie radius squared
Answer:pie r square
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
please now is urgent
Answer:
[tex]15m^2+3[/tex]
Step-by-step explanation:
7 - 4 = 3
To add the m^2 you just add the first numbers together.
9m^2 + 6m^2 = 15m^2
Please help ASAP
Find the sum of 2 x^2 + 3 x - 4, 8 - 3 x , and -5 x^2 + 2.
A. -3 x2 - 2
B. -7 x2 - 2
C. -3 x2 + 6
D. -7 x2 - 6 x - 2
answer:
B. -7x2-2
add the numbers and variables together and combine like terms
HELP MEE ILL MARK BRAINLEIST
Answer:
3x-3 I think that's it.
Step-by-step explanation:
Answer:
The vertex is (1, -4)
Step-by-step explanation:
A local company is concerned about the number of days missed by its employees due to ill ness. A Random Sample of 10 employees is selected. The Number of days absent in one year is listed below. An Incentive program is offered in an attempt to decrease the number of days absent. The number of days ansent in one year after the incentive program is listed below. Test the claim that the incentive program cuts down on the number of days missed by employees. Use a=0.05. Assume that the distribution is normally distributied.Employee A B C D E F G H I JDays Absent Before incentive 3 8 7 2 9 4 2 0 7 5Days absent after incentive 1 7 7 0 8 2 0 1 5 5
Answer:
The incentive program does not cuts down on the number of days missed by employees.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
A paired t-test would be used to determine whether the incentive program cuts down on the number of days missed by employees.
The hypothesis for the test can be defined as follows:
H₀: The incentive program does not cuts down on the number of days missed by employees, i.e. d ≥ 0.
Hₐ: The incentive program cuts down on the number of days missed by employees, i.e. d < 0.
From the information provided the data computed is as follows:
[tex]n=10\\\bar d=-1.1\\SD_{d}=2.99[/tex]
Compute the test statistic value as follows:
[tex]t=\frac{\bar d}{SD_{d}/\sqrt{n}}[/tex]
[tex]=\frac{-1.1}{2.99/\sqrt{10}}\\\\=-1.16[/tex]
The test statistic value is -1.16.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Compute the p-value of the test as follows:
[tex]p-value=P(t_{n-1}<-1.16)\\=P(t_{10-1}<-1.16)\\=P(t_{9}<-1.16)\\=0.1379[/tex]
*Use a t-table.
The p-value of the test is 0.1379.
The p-value of the test is very large for all the commonly used significance level. The null hypothesis will not be rejected.
Thus, there is not enough evidence to support the claim.
Conclusion:
The incentive program does not cuts down on the number of days missed by employees
There are about 237 milliliter in 8 oz how many mililiters in 15 oz
Answer:
443
Step-by-step explanation:
Answer:426.196
Step-by-step explanation:
Evaluate √-75 where s = -3
PLS I NEED HELP ASAP!!!!