Answer:
11
Step-by-step explanation:
Here,
11 is the nth term as it is the last term shown in the sequence
What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Complete Question
The proportion of adult women in the United States is 51% (p=0.51).What is the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p)?
Answer:
The probability is [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex] or [tex]P( 0.48 < p < 0.54 ) = 77\%[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 400
The population proportion is p = 0.51
Generally the standard deviation of this sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.51(1-0.51)}{400} }[/tex]
=> [tex]\sigma = 0.02499[/tex]
Generally the lower limit for the range of the population proportion within 0.03 is
[tex]a = p - 0.03[/tex]
=>[tex]a = 0.51 - 0.03[/tex]
=>[tex]a = 0.48[/tex]
Generally the upper limit for the range of the population proportion within 0.03 is
[tex]b = p + 0.03[/tex]
=>[tex]a = 0.51 + 0.03[/tex]
=>[tex]a = 0.54[/tex]
Generally the probability that a random sample of 400 U.S. youth will provide a sample proportion (p¯) that is within 0.03 of the population proportion (p) is mathematically represented as
[tex]P( a < p < b) = P( \frac{a - p }{\sigma } < \frac{\^ p - p }{\sigma} < \frac{b - p}{\sigma } )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( \frac{0.48 - 0.51 }{0.02499 } < \frac{\^ p - p }{\sigma} < \frac{0.54 - 0.51}{0.02499 } )[/tex]
[tex]\frac{\^ p -p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( -1.2 < Z < 1.2 )[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = P( Z < 1.2) - P(Z < -1.2 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.2 and -1.2 is
[tex]P( Z < 1.2) =0.88493[/tex]
and
[tex]P( Z < -1.2) =0.11507[/tex]
So
[tex]P( 0.48 < p < 0.54 ) = 0.88493 - 0.11507[/tex]
=> [tex]P( 0.48 < p < 0.54 ) = 0.77[/tex]
2.Marino paid a total of $706 for his accommodation in Seoul, South Korea. He will be spending 7 nights at his hotel.
a) Write an equation to help Marino figure out how much money he was charged in fees.
b) Determine the amount of money he was charged for fees.
Answer:
$4942
Step-by-step explanation:
a.A day accommodation=$706
7 days accommodation=$706x7days
Answer=$4942
b
Mother had 2/3 of a pound of sugar. She used ¼ of it to make a cake. How much sugar did she use?
Answer:
1/6 lb
Step-by-step explanation:
2/3 * 1/4 = 2/12 = 1/6
HELP FAST !!!
Find the solution of the system of equations.
-8x + 7y = -2
- 8x + 8y = 8
-56x + 49y= -14
- 56x + 56y=64
105y=50
y=0.48
-8x+7(0.48)=-2
-8x+3.36=-2
-8x=-5.36
x=0.67
Answer:
(x, y) = (9, 10)
Step-by-step explanation:
-8x + 7y = -2...... (1)
- 8x + 8y = 8......(2)
Multiplying on both sides of the equations (1) & (2) by 8 and 7 respectively, we find:
-64x + 56y = - 16...(3)
-56x + 56y = 56.....(4)
Subtracting equation (4) from equation (3), we find:
-64x + 56y = - 16
-56x + 56y = 56
+ - -
_____________
- 8x = - 72
x = - 72/-8
x = 9
Substituting x = 9 in equation (1), we find:
-8(9) +7y = - 2
-72 +7y = - 2
7y = 72 - 2
7y = 70
y = 70/7
y = 10
(x, y) = (9, 10)
A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.
Answer:
[tex]Distance = 880ft[/tex]
Step-by-step explanation:
Given
[tex]Speed = 20\frac{miles}{hour}[/tex]
[tex]Time = 30\ seconds[/tex]
Required
Determine the distance
To answer this question, we make use of speed-distance relationship
[tex]Speed = \frac{Distance}{Time}[/tex]
Make Distance the subject
[tex]Distance = Speed * Time[/tex]
[tex]Distance = 20 miles/hour * 30 seconds[/tex]
Convert seconds to hour
[tex]Distance = 20 miles/hour * \frac{30}{3600} hour[/tex]
[tex]Distance = 20 miles * \frac{30}{3600}[/tex]
[tex]Distance = \frac{20 miles * 30}{3600}[/tex]
[tex]Distance = \frac{600\ miles}{3600}[/tex]
[tex]Distance = \frac{1}{6} miles[/tex]
Convert to foot
[tex]Distance = \frac{1}{6} * 5280\ ft[/tex]
[tex]Distance = \frac{1* 5280\ ft}{6}[/tex]
[tex]Distance = \frac{5280\ ft}{6}[/tex]
[tex]Distance = 880ft[/tex]
Find the sum 5.5+7.25-5.5+(-7.25)
Answer:Can you find the sum [5.5 + (-2.3)] + (-5.5 + 2.3) without performing any additions? - Slader.
1 answer
Missing: 7.25-5.5 7.25)
Step-by-step explanation:
1. What is the value of w?
(1 point)
w
30°
n
73
07
O 3.5
073
O 14
E
Answer:
17=.y+1. 0.14
Step-by-step explanation:
Calculate the following speed Distance of 20 meters, time is 2 seconds.
Answer:
10 meters per sec
Step-by-step explanation:
Answer:
10 meters per seconds.
Step-by-step explanation:
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x2 − y2 in the first octant.
Answer:
hi I don't know the answer but really sorry I did because I needed some points so that I can ask my questions from another people and thank you for free points
A group of individuals containingbboys andggirls is lined up in a randomorder; that is, each of the (g+b)! permutations is assumed to be equally likely.What is the probability that the person in theithposition (1≤i≤b+g) isa girl?
Answer:
g/(b + g)
Step-by-step explanation:
We are told the group of individuals contain b number of boys and g number of girls.
Now the number of ways of selecting 1 girl out of g number of girls is;
gC1 = g!/(g - 1)! = (g × (g - 1)!)/(g - 1)!
(g - 1)! will cancel out to give;
gC1 = g
Now, since total number of boys and girls is b + g, and we have chosen one girl out, the remaining number of people will be; b + g - 1.
Thus, number of ways to arrange the remaining people will be;
(b + g - 1)!
Now, the probability that the person in the ith position (1 ≤ I ≤ b+g) is a girl will be;
(gC1 × (b + g - 1)!)/(b + g)!
We know that gC1 = g from earlier derivation.
Expanding this gives;
[g(b + g - 1) × (b + g - 2)!]/[(b + g) × (b + g - 1) × (b + g - 2)!]
(b + g - 1) × (b + g - 2)! will cancel out to give;
g/(b + g)
Please I need help thank you
Answer:
its 40
Step-by-step explanation:
You've already divided 320 and 8 and you get 40
If 2 pounds of grapes cost $6. 1 pound cost $3. How many pounds will equal $1?
Answer:
.5 pounds I believe
Step-by-step explanation:
I hope this helps!!!
Which of the following is not a reason used in this proof?
A) Definition of perpendicular
B) Vertical angles are equal
C) Reflexive
Answer:
Reflexive
Step-by-step explanation:
Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof
Answer:
Reflexive
Step-by-step explanation:
Write these numbers from least to greatest.
0.8
0.9
7/8
5/6
Answer:
0.8 5/6 7/8 0.9
Step-by-step explanation:
5/6 is 0. 83
7/8 is 0.875
Answer: 0.9,0.8,7/8 , 5/6
-9 = a - 3 - a
Solve the equation
Thanks
Answer:
No solution
Step-by-step explanation:
-9 = a - 3 - a
-6 = a - a
-6 [tex]\neq[/tex] 0, -6 doesn't equal 0 so no solution
1. Adjacent angles are two angles in the same plane with a common
and a common
but no common interior points.
Answer:
Adjacent angles are two angles in the same plane with a common VERTEX and a common SIDE but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
What is the smallest possible real value of x^2+8x?
========================================================
Explanation:
Let's complete the square
y = x^2 + 8x
y + 16 = x^2 + 8x + 16 .... adding 16 to both sides
y + 16 = (x+4)^2
y = 1(x+4)^2 - 16
We added 16 to both sides to allow the right hand side to factor into a perfect square.
The last line shown above is in the form y = a(x - h)^2 + k where
a = 1
h = -4
k = -16
Note the positive 'a' value indicates we have a minimum.
The vertex is (h,k) = (-4, -16)
The lowest y value possible is at the vertex.
So the smallest y value is y = -16.
This means the smallest possible value of x^2+8x is -16.
The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams
ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!
Answer:
ummm did you need help or....
Step-by-step explanation:
cause you got the answer right....
Each drink cost d dollars. Each snack cost s dollars. The Blake family buys 3 drinks and 2 snacks for $12. The reese family buys 2 drinks and 4 snacks for $16. What is the cost of one drink at the concession stand?
total cost for the blake family :
3d + 2s = 12 — (1)
total cost for the reese family :
2d + 4s = 16 — (2)
multiply equation 1 by 2 so that we can cancel out s later :
(1) x 2 : 2(3d+2s)=2(12)
6d+4s = 24 — (3)
using simultaneous equations,
(3) - (2)
(6d+4s) - (2d+4s) = 24-16
6d-2d+4s-4s = 8
4d = 8
d = 2
the cost of one drink is $2.
Before he started washing windows on weekends, Rob had $20. He earned $60 over each of the first three weekends that he spent washing windows. So far, Rob has not spent any of his money.
If n represents a whole number less than or equal to 3, which function shows the total amount of money Rob had after n weekends of washing windows?
answer choices
A. t(n) = 20 + 60n
B. t(n) = 60 + 20n
C. t(n) = 200n
D. t(n) = 200
Answer:
A. t(n) = 20 + 60n
Step-by-step explanation:
Since Rob already had $20, the equation should have +20 to represent the money he already had.
60n can represent how much money Rob gets after washing windows, since he earned $60 from each weekend he washed windows.
So, A is the correct answer, t(n) = 20 + 60n
Subtract (3x + 5) - (x + 2)?
Answer:
2x+3
Step-by-step explanation:
WILL MARK BRAINLIEST FOR FIRST RIGHT ANSWER!!! 15 POINTS!!
Answer:
third one
Step-by-step explanation:
Graph the inequality below on the number line.
x ≥ -9
<-----------------------●-->
1-2-3-4-5-6-7-8-9
go to the right
Answer:
-9------------> (the circle would be filled in, too)
____._____
0
Step-by-step explanation:
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answer: I think its C
Step-by-step explanation:
List all 6 Congruence statements for the following triangles.
Answer:
Put the segment mark above each set.
fe is congruent to Rs (do the opposite rs is congruent to fe)
Rs congruent to fe (opposite)
fd is congruent to rt (opposite) I think
What is 15% of 40?
02
О 4
05
06
Answer:
6
Step-by-step explanation:
Multiply 40 by 15%, or 0.15.
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[tex] \frac{15}{100} \times 40 = \\ [/tex]
[tex] \frac{15 \times 40}{100} = \\ [/tex]
[tex] \frac{600}{100} = 6 \\ [/tex]
Thus 15% of 40 is 6 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Isaac surveyed the employees at a law firm. Each employee was asked to record their highest level of education completed. The results are shown in the table below. Highest Level of Education Completed Education Level Percentage High School 5% Community College 10% Four-Year College 60% Graduate School 25% Two-hundred sixty people completed the survey. How many of those people completed graduate school?
Answer: 65 people completed graduate school.
Step-by-step explanation:
25% of 260 is 65.
Answer:
is 65
Step-by-step explanation:
Got 26 wrong on test
Consider a scenario in which each person is an island. In this scenario, James and Kate engage in international trade with each other.
James is lactose intolerant and only produces cheese. Kate is caffeine intolerant and only produces coffee. Thus, both "countries" export all their production to the other. This month James produced 23
pounds of cheese and Kate 13
pounds of coffee. For simplicity, assume that they share a common currency (the US dollar) and that the price of a pound of coffee is $1, the same as a pound of cheese.
Who has a negative trade balance with the other country?
Answer:
Katie has a negative trade balance of -$10.
Step-by-step explanation:
James exports 23 pounds for $23 and Katie exports 13 pounds for $13.
Jamie $23 - $13 = $10
Katie $13 - $23 = -$10
A 0.30 kg bird flies in a horizontal curve of radius 20 m at 15 m/s. The force exerted by the air on the bird is about
Question 3 options:
a)
1.7 N
b)
3.48 N
c)
zero
d)
2.9 N
e)
4.5 N
Answer:
b) 3.48 N approx.Step-by-step explanation:
The bird will experience a centripetal force, this is the force exerted on a body that moves through a curve path.
[tex]F_c = \frac{mv^2}{r}[/tex]
Fc=centripetal force
m=mass
v=velocity
r=radius
Step one:
given data
mass of bird m=0.3kg
the radius of curve r= 20m
velocity v= 15 m/s
Substituting we have
[tex]F_c = \frac{0.3*15^2}{20}\\\\F_c= \frac{0.3*225}{20}\\\\ F_c=\frac{67.5}{20}\\\\F_c=3.37N[/tex]
The force is 3.37N
Kaitlin earns $16 per hour tutoring students after school. If Kaitlin tutored for 19.5 hours this month, how much money did she earn this month?
Answer: Kaitlin earned $312 this month.
Step-by-step explanation:
since it says $16 per hour and she has tutored for 19.5 hours you just simply multiply the two to get your answer because it wants to know how much she earned this month.