Answer:
The required probability = 0.9345
Step-by-step explanation:
Given that:
p = 0.17
n = 6
The required probability that two or less light bulbs are defective = (P<2)
(P<2) = P(X=0) +P(X=1) +P(X=2)
[tex](P<2) =\bigg [ ({^6C_0}\times 0.17^0 \times (1-0.17)^{6-0})+ ({^6C_1}\times 0.17^1 \times (1-0.17)^{6-1}) +( {^6C_2}\times 0.17^2 \times (1-0.17)^{6-2}) \bigg ][/tex]
[tex](P<2) =\bigg [ \dfrac{6!}{0!(6-0)!}\times 0.17^0 \times (1-0.17)^{6})+ (\dfrac{6!}{1!(6-1)!} \times 0.17^1 \times (1-0.17)^{5}) +( \dfrac{6!}{2!(6-2)! }\times 0.17^2 \times (1-0.17)^{4}) \bigg ][/tex]
[tex]\mathbf{(P<2) = 0.9345}[/tex]
Each big square below represents one whole,
What percent is represented by the shaded area?
%
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]
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:
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:
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
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.
x-3/18=12/9
what is the answer? It is proportions.
Answer:
x=3/2
Step-by-step explanation:
Answer:
x=[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
WILL MARK BRAINLIEST FOR FIRST RIGHT ANSWER!!! 15 POINTS!!
Answer:
third one
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:
Translate this phrase into an algebraic expression.
7 more than twice Jose's height
Use the variable ; to represent Jose's height.
Answer:
2x+7
Step-by-step explanation:
Let's mark Jose's height with x. Of course, you can use any other letter or symbol.
We now need to express another value through this x. That other value we can mark with y.
This y is said to be 7 more then twice Jose's height. Jose's height is x, as we've already said, so:
y = 7 + 2•x (seven more than twice x)
That means that y = 2x+7.
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
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:
2y/5-y/4=-3 what is the common denominator
Answer:
20
Step-by-step explanation:
How to silver (10 points)
Answer:
there
Step-by-step explanation:
10.
TP = 20-12
TP = 8
SP = SQ
SP = 20
RQ = TP
RQ = 8
S-------15.5
20------12
12s = 310
s = 310/12
s =~25,8
11.
75--------46
100-------b
75b = 4600
b = 4600/75
b =~ 61,3
l² = 61,3² + 46²
l² = 3757,69 + 2116
l² = 5873,69
l = [tex]\sqrt{5873,69}[/tex]
l =~ 76,7
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
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.
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....
A bakery bakes 68 batches of 56 cupcakes each week. How many individual cupcakes do they make each week?
Answer:
3808
Step-by-step explanation:
Solve x2 + 2x + 7 = 0 using the Quadratic Formula
The roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
what is Quadratic Equation?A quadratic equation is of the form ax² + bx + c = 0 , which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
Given:
x² + 2x + 7 = 0
now, using Discriminant Method
D= √b² - 4ac
D= √4- 4(1)(7)
D= √-24
D= 2i√6
Now, x= -b± D/2a
x= -2 ± 2i√6/2
x= -2 + 2i√6/2 or x= -2 - 2i√6/2
x= -1 + i√6 or x= -1 - i√6/2
Hence, the roots of the equation is x= -1 + i√6 or x= -1 - i√6/2.
Learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ2
A car-carrier trailer weighs 35,000 pounds when empty. The driver loads 7 cars on the trailer. The cars are identical except for color. The weight of the loaded trailer is 50,855 pounds. The maximum vehicle weight allowed on U.S. highways is 80,000 pounds. What number best describes the weight of one car?
Answer:
Each car weighs 2,265 pounds
Step-by-step explanation:
Given that the car carrier weighs 35,000 pounds when empty, that is, without cars, and that loading 7 cars its weight is 50,855 pounds, the difference between both values implies the weight of the 7 cars together, which is determined through the following calculation:
50,855 - 35,000 = X
15.855 = X
Thus, the weight of the 7 cars together is 15,855 pounds. In turn, the weight of each particular car is determined from the following division:
15.855 / 7 = X
2,265 = X
Therefore, each car weighs about 2,265 pounds.
i don't really understand this problem
Complementary angles add up to 90 (there should be a right angle in the diagram)
x+20+x+10 needs to equal 90 where x=30
Left angle is measured 30+20=50 degrees
Angle on the right is measured 30+10=40 degrees
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)
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
Write the expression represented by the following:
The quotient of a number and 7, increased by 5
Answer:
x (divistion symbol) 7 + 5
Step-by-step explanation:
Please I need help thank you
Answer:
its 40
Step-by-step explanation:
You've already divided 320 and 8 and you get 40
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?
Answer:
495 different waysStep-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
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
Yasir is saving up to buy a new phone. When he first decided to start saving, he had 25% of the cost already. After saving $90 more, he has 40% of the cost. Write and solve an equation to find c, the cost of the phone.
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!!!
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths
Which comparison is true? Use the number line to help you.
A number line going from negative 6 to positive 6 in increments of 1.
Negative 5.8 > Negative 5 and three-fourths
3.6 4.4
Answer:
Its B.
Step-by-step explanation:
It said so.