Answer:
C: t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
Step-by-step explanation:
The options given are
A
35−36/ 35/√50+3660
B
35−36/0.7/√50+0.660
C
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
D
0.7−0.6/(0.7)(0.6)/√(1/50+1/60)
E
0.7−0.6/(0.7)(0.6)/√150+160
↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔
This is a test hypothesis about difference of means between two proportions.
The test statistic used is
t= x1`-x2`/√p^q^(1/n1 +1/n2)
x1`= 35/50= 0.7
x2`= 36/60= 0.6
so
x1`-x2`
= 35/50-36/60
= 0.7-0.6
p^= 35+36/50+60= 71/110= 0.645= 0.65
q^= 1-p^= 1-0.65= 0.35
p^q^= (0.65) (0.35)
n1= 50 and n2= 60
therefore √1/n1 +1/n2= √1/50+1/60
Now Putting the values in the test statistics we get
t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/√(0.65)(0.35)(1/50+1/60)
Hence C is the correct option
Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:
[tex]H_1: p_A - p_B \neq 0[/tex]
What is the mean and the standard error for the distribution of the difference of proportions?First, we find the mean and the standard error for each proportion:
[tex]p_A = \frac{35}{50} = 0.7[/tex]
[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
[tex]p_B = \frac{36}{60} = 0.6[/tex]
[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]
Then, for the difference:
[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
To learn more about the z-distribution, you can take a look at https://brainly.com/question/16313918
what is 4(z+6)=2965 I need the answer and how you did it
Answer:
z = 735.25
Step-by-step explanation:
Following steps explain :
[tex]\frac{4\left(z+6\right)}{4}=\frac{2965}{4}\\z+6=\frac{2965}{4}\\z+6-6=\frac{2965}{4}-6\\z=735.25z=\frac{2941}{4}[/tex]
Looks kinda sloppy, but I think you can see what I did :)
#SpreadTheLove <3
If x= 9 in what is the surface area of the geometric shape formed by this net?
Answer:
D
Step-by-step explanation:
Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2
A college alumni office is choosing a new alumni board of 12 people. They have 25 total applicants.
How many different combinations without repetition of 12 people are there?
Answer:
5200300
Step-by-step explanation:
Use Combination
25C12=25!/12!(25-12)!The different combinations without repetition of 12 people will be equal to 5,200,300.
What is a Factorial?When a whole number is multiplied by each natural number underneath it, the result is known as its factorial. The symbol "!" can represent the idea of a factorial. As a result, "n factorial" is just n and is defined as the sum of the first n natural integers.
As per the given information in the question,
Total number of people chosen by the board = 12
Total number of applicants = 25
Then the number of combinations without repetition will be = ²⁵C₁₂
= [tex]\frac{25 !}{12!(25-12)!}[/tex]
= 25!/(12! × 13!)
= 5,200,300
To know more about Factorial:
https://brainly.com/question/16745729
#SPJ2
6.5.PS-26
Question Help
Nick has an album that holds 700 hockey cards. Each page of the album holds 7 hockey cards. If
72% of the album is empty, how many pages are filled with hockey cards?
FASTTT
Number of hockey cards in Nick's album = 700
Number of hockey cards in each page of the album = 7
Number of pages in Nick's album :
[tex] = \tt \frac{700}{7} [/tex]
[tex] = \tt100[/tex]
▪︎Thus, the number of pages in Nick's album = 100
Percentage of album that is empty = 72%
Number of pages in the album that is empty :
[tex] = \tt 72\% \: \: of \: \: 100[/tex]
[tex] =\tt \frac{72}{100} \times 100[/tex]
[tex] = \tt \frac{72 \times100}{100} [/tex]
[tex] =\tt \frac{7200}{100} [/tex]
[tex] \color{plum}= \tt72 \: pages[/tex]
▪︎Thus, the number of empty pages in the album = 72
Number of pages in the album that are filled :
[tex] =\tt 100 - 72[/tex]
[tex]\color{plum} = \tt28 \: pages[/tex]
▪︎Therefore :Number of pages filled with hockey cards = 28
Chase has been playing a game where he can create towns and help his empire expand. Each town he has allows him to create 1.13 times as many villagers as he had in the one before. The game gave Chase 4 villagers to start with. Explain to Chase how to create an equation to predict the number of villagers in any specific town. Then show how to use your equation to solve for the number of villagers he can create to live in his 17th town.
Answer:
Step-by-step explanation:
a sub n = a sub 1 x r ^ n-1
a sub n = 17 since that's what's in question
a sub 1 = 4 since that's the starting amount
r = 1.13 since that's the difference
a sub 17 = 4(1.13) ^17-1
a sub 17 = 4(7.0673255268)
a sub 17 = 28.2693021072
a sub 17 ≈ 28.37
Please vote brainliest
The number of villagers that Chase can create to live in his 17th town is 28.27.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,
[tex]A = 4(1.13)^{(n-1)}[/tex]
Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].
B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,
[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]
Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.
Learn more about Function:
https://brainly.com/question/5245372
The weight of water is 62 1/2 lb per cubic foot. Water that weighs 350 lb will fill how many cubic feet?
The question is worded incorrectly. It should say the DENSITY of water is 62 1/2 lbs per cubic foot. Divide the weight by the density to get volume.
(150 lbs) / (62.5 lbs/ft3) = ? ft3 (the two 3's are exponents. so it'd be ft then an exponent of 3.)
Can somebody please answer the question giving brainliest!
Answer:
A counter clockwise
Step-by-step explanation:
'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।
Answer:
English pls
Step-by-step explanation:
अन्यथा बहस करें, शिकायतें पकड़ें।
A man earns $1500 a week. He saves $500. What percentage did he spend?
Answer:
3313%
Step-by-step explanation:
What is the measure of EACH exterior angle for this regular octagon?
360
45
1080
135
Answer:
Exterior angle = 45° each
Step-by-step explanation:
Given:
Number of side n = 8
Find:
Exterior angle
Computation:
Exterior angle =360° / n.
Exterior angle =360° / 8
Exterior angle = 45° each
Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are multiples of 4 or 7
Answer:
Multiples of 4= 28
Multiples of 7= 7,21,28,35,42
Step-by-step explanation:
I hope this helps, and have a great day! :)
heloooo
(-24) + (-25) =
la respuesta es (-24)+(-25)-49
Answer:
- 49
Step-by-step explanation:
= -24-25(because - and + becomes -)
= -49
The ratio of the number of girls to the number of boys in a chess club is 3 to 2. There are 14 boys in the
chess club. What is the number of girls in the chess club?
Answer:
21 girls
Step-by-step explanation:
3 girls: 2 boys
multiply both sides by 7
21 girls: 14 boys
what is the area of this parralelogram? h=4 inch b=7 inch
Answer:
28cm^2
Step-by-step explanation:
4 x 7
Answer:
no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet
In a school,2/15 of the students are boys and the rest are girls .If the number of girls is 1950,Find 5he number of boys
Answer:
300
Step-by-step explanation:
write a real-world problem given the equation 2/3x = 12. Then solve the equation.
please answer it quickly 15 points
Answer:
x = 1/18
Step-by-step explanation:
2/3x = 12
multiply both sides by 3x
2/3x(3x) = 12(3x)
2 = 36x
x = 1/18
helppppppppppppppppppppp
We can apply the Pythagorean theorem:
c= (SQ)
a=RQ = 4
b=RS = 4
c²=a²+b²
c=√(16+16)
c=√32
c=4√2
SV=0,5*SQ
SV=0,5*c
SV=√2
PLEASE HELP! URGENT
50°
Step-by-step explanation:
notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°
A map has a scale of 2.5 inches : 4 miles. If two cities are 6 inches away from each other on the map, how far apart are they in real life?
Answer:
14.4
Step-by-step explanation:
2.5 divided by 6 is 2.4
2.4 x 6 = 14.4
Find the average rate of change
Answer: The answer to this question would be -6.
I hope this helped!
Answer:
-6
Step-by-step explanation:
g(-3) - g(0) / -3-0
= [2(-3²) + 10] - (0 + 10) ÷ -3
= (28 - 10) / -3
= -18/3
= -6
(2a+5)³ is equal to 8a³+60a²+________?
the answer is will be +50a+125
I need help please.
Answer:
b
Step-by-step explanation:
beacause 2x+60 thats the answer
Find the distance between A and B.
A 12 units
B.V106 units
C.9 units
D. 2/12 units
Answer:
B. [tex] \sqrt{106} [/tex]
Step-by-step explanation:
Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (-4, 3) = (x_1, y_1) [/tex]
[tex] (5, -2) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]
[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]
[tex] d = \sqrt{81 + 25} [/tex]
[tex] d = \sqrt{106} [/tex]
Is the equation 5x = 7x always, sometimes, or never true? Explain.
Answer:
Step-by-step explanation:
If x = 0, 5x = 7x is true.
If x = 1, 5x ≠ 7x
5x = 7x is sometimes true.
A line segment can intersect a regular hexagon in ________?
1. eight points
2. two points
3. six points
4. four points
At a used bookstore, Cindy bought 2 paperback books for $1.75 and some children's books for $0.75 each,
including tax. She spent a total of $5.75. How many children's books did Cindy buy?
A. 3
B. 4
C. 5
D. 7
Ο Α
B
ос
D
There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
what is the least number of students who could be taking Algebra 1? The least number of students is (pe numbers only)
Help asap
Answer: 54
Step-by-step explanation:
brainlist-brainlist-brainlist
Answer:
triangle
Step-by-step explanation:
The cross section is a triangle.
Answer:
i think either a square or rectangle
Step-by-step explanation:
PROINTERENCIAS cuyos RADIOS HIDEN 115m
225m
SON TAN GENJES EXTERIOVENTE ENTRE
OGULOS QUE SE FORAN CUANDO SE UNEN
ros
DE DICHAS CIRCUNFERENCIAS
Answer: what does this say
Step-by-step explanation:
simplify the expression 4x+2-1/2x
Answer:
7/2 x + 2
Step-by-step explanation:
4x+2−
1
2
x