Answer:
The 90% confidence interval is [tex]0.199 < p < 0.261 [/tex]
The sample size to develop a 95% confidence interval is [tex]n = 2032 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n =500
The sample proportion is [tex]\^ p = 0.23[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.23 (1- 0.23)}{500} } [/tex]
=> [tex]E = 0.03096 [/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.23 -0.03096 < p < 0.23 + 0.03096 [/tex]
=> [tex]0.199 < p < 0.261 [/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The margin of error is given as [tex]E = 0.01[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.96 }{0.01} ]^2 *0.23 (1 - 0.23 ) [/tex]
=> [tex]n = 2032 [/tex]
A recipe calls for 1 1/2
teaspoons of cinnamon to make 2 oatmeal cookies.
How many teaspoons
of cinnamon are needed to make 60 oatmeal cookies?
Answer:
45
Step-by-step explanation:
6. f(x) = (x + 2). g(X) = (X+3) Find (fºg)(x)
Answer:
(f o g)(x) = x + 5
General Formulas and Concepts:
Algebra I
Combining Like TermsAlgebra II
Function CompositionStep-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = x + 3
(f o g)(x) = f(g(x))
Step 2: Find
Substitute: (f o g)(x) = (x + 3) + 2Combine like terms: (f o g)(x) = x + 5Answer:
f(x+3)=x+5
Goodluck to you
An equation is shown. What factor is missing from the equation? 32 + 20= (8+5)*
Answer:
4
Step-by-step explanation:
32+20=52
8+5=13
52/13=4
I need help with this question.
Answer:
5c-5=45
Step-by-step explanation:
Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.
What volume would a 200 g sample of gold have, if its density is known to be 19.3
Answer:
The volume that a 200 g gold sample would have is 10.36 mL.
Step-by-step explanation:
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space. In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance. Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
[tex]density=\frac{mass}{volume}[/tex]
In this case it is known that the density of gold is 19.3 g / mL. This indicates that in 1 mL there are 19.3 g. Then the following rule of three can be applied: if 19.3 g is contained in 1 mL, how much volume is 200 g of gold?
[tex]volume=\frac{200 g*1mL}{19.3g}[/tex]
volume= 10.36 mL
The volume that a 200 g gold sample would have is 10.36 mL.
A new basketball 20% off if it’s original price and is now selling for $36 what is the original price of the basketball before
the sale?
if R is the midpoint of QS, RS = 2x-4, ST = tx-1, and RT = 8x-43
The question is incomplete. Here is the complete question.
If R is the midpoint of QS, [tex]RS=2x-4[/tex], ST = [tex]4x-1[/tex] and RT = [tex]8x-43[/tex], find QS.
Answer: QS = 68 units
Step-by-step explanation: The figure below shows a line segment QT.
To determine QS, first, determine value of x:
RT = RS + ST
[tex]8x-43=2x-4+4x-1[/tex]
[tex]8x-43=6x-5[/tex]
2x = 38
x = 19
Now, we determine QS:
Midpoint is a point dividing a line segment in two equal parts.
Then, QR = RS.
QS = QR + RS
QS = 2RS
[tex]QS=2(2x-4)[/tex]
[tex]QS=4x-8[/tex]
Substituting x = 19:
[tex]QS=4.19-8[/tex]
QS = 68
The segment QS is 68 units.
Answer: x = 1
Step-by-step explanation:
I have no idea what the actual answer is, as you didn't ask a question. So i'm assuming that you want the value of x.
Step 1: Draw a line containing all the points
R is in between point Q and point S, while T is last, based on alphabetical order.
Illustration:
2x - 4 Tx - 1
Q R S T
8x - 43
Step 2: Find T's value
To find t, create the substitution equation RS + ST = RT
2x - 4 + tx - 1 = 8x - 43
-2x -2x
-4 + tx - 1 = 6x - 43
tx - 5 = 6x - 43
tx = 6x - 38
tx/x = 6x/x - 38
t = 6 - 38
t = -32
This is the value of t
By the way, there is no correlation between point T and the variable t.
Step 3: Find x's value
Now that we know what t is, we can solve for x
2x - 4 -32x - 1 = 8x - 43
-30x - 5 = 8x - 43
+30x +30x
-5 = 38x - 43
+43 +43
38 = 38x
38/38 = 38x/38
1 = x
This is the value of x
Milo pays $3 per pound for dog food at Pat's Pet
Palace. The graph below represents the cost per
pound of food at Mark's Mutt Market. At which
store will Milo pay a lower price per pound for
dog food?
Answer:
Pat Pet's Palace
Step-by-step explanation:
Price of dog food at Pat Pet's Palace = $3 per pound
Price of dog food at Mark's Mutt Market can be estimated using the graph given.
The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x
Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.
This means the price of dog food at Mark's Mutt Market is $4 per pound.
Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5
So, the correct answer is B, 5 hours
Alice is opening a savings account which earns 2.2% interest, compounded continuously.
How much will she need to deposit in the account so that she has $6200 after 3 years?Round your answer to the nearest dollar.
Answer:$5804
Step-by-step explanation:
P=6200/e^(0.022)(3)
Answer:
5804 just trust me i got it right
what are the possible values for the ones digits when a number is a multiple of 5
Answer:
0, 5
Step-by-step explanation:
5 * 0 = 0
5 * 1 = 5
5 * 2 = 10
5 * 3 = 15
5 * 4 = 20
5 * 5 = 25
etc.
Answer: 0, 5
2/7 + 3/7= please help xx
Answer:
5/7
Just add 2 and 3
The correct answer is 5/7.
Hope you have a great day!
Fast plz
The options are
-Is
-Is not
Answer:
the rate of change is constant
Step-by-step explanation:
HELP PLEASE! IM DUMB AND DONT HAVE MUCH TIME :( SPENDING 18 POINTS ON THIS
Answer:
The correct choice is the one on the bottom right.
What is the value of the expression 3/19 divided 7/2
Answer:
Exact Form:
6/133
Decimal Form:
0.04511278
Step-by-step explanation:
Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER
The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.
Answer:
The point Q is (2,3)
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)
[tex]x_R-x_Q=2/3(x_R-x_S)[/tex]
And, similarly:
[tex]y_R-y_Q=2/3(y_R-y_S)[/tex]
Working on the first condition:
[tex]-2-x=2/3(-2-4)=2/3(-6)[/tex]
Removing the parentheses:
[tex]-2-x=-4[/tex]
Adding 2:
[tex]-x = -2[/tex]
x = 2
Similarly, working with the vertical component:
[tex]1-y=2/3(1-4)=2/3(-3)[/tex]
Removing the parentheses:
[tex]1-y=-2[/tex]
Subtracting 1:
[tex]-y = -3[/tex]
y = 3
The point Q is (2,3)
Suppose 52R% of the population has a college degree. If a random sample of size 808808 is selected, what is the probability that the proportion of persons with a college degree will be less than 54T%
Answer:
The probability is [tex]P( p < 435.82 ) = 0.54094[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 54% = 0.54
The sample size is n = 808
Generally the distribution of the population with college degree follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n * p[/tex]
=> [tex]\mu = 808 * 0.52[/tex]
=> [tex]\mu = 420.16[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{np(1- p )}[/tex]
=> [tex]\sigma = \sqrt{808 * 0.52(1- 0.52 )}[/tex]
=> [tex]\sigma = 14.2[/tex]
Generally 54% of the population proportion is
[tex]\^ p = 0.54 * 808[/tex]
=> [tex]\^ p = 436.32[/tex]
Generally by normal approximation of the binomial distribution the probability that the proportion of persons with a college degree will be less than 54% is mathematically evaluated as
[tex]P(p < \^ p ) = P(\frac{p - \mu }{\sigma } < \frac{\^ p - \mu }{\sigma } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P(p < 436.32 ) = P( Z < \frac{436.32 - 420.16 }{14.20 } )[/tex]
applying continuity correction
[tex]P(p < (436.32-0.5) ) = P( Z < \frac{(436.32-0.5) - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < \frac{435.82 - 420.16 }{14.20 } )[/tex]
=> [tex]P(p < (435.82 ) = P( Z < 0.1028 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.1028 is
[tex]P( Z < 0.1028 ) = 0.54094[/tex]
=> [tex]P( p < 435.82 ) = 0.54094[/tex]
help find the missing side
Answer:
12.9
Step-by-step explanation:
tanθ=opp/adj
tan 24° = x/29
x = 29 tan 24°
x = 12.9
Someone please help ASAP!!!!
Answer:
3/5 = 6/10, which is 0.6 in decimal form
In the figure above, how would you set up your equation?
Step-by-step explanation:
2×+6 + 5 = X+10
2x -x =10 -11
x= - I
BC = 2(-1) + 6=4
AC = -1+10 = 9
Pls Answer this Right and Professionally I’m begging you I will mark a brainless too
Answer:
3. x=110 y=110 t=70
4. a=105 b=105 c=75 d=75 e=105 g=75 f=75
Step-by-step explanation:
If two sides of a triangle are 7 and 14, the third side may be?
Answer:
it would be 2
Step-by-step explanation:
Answer:
smaller than the sum of the other two sides
In this case less than 21
Step-by-step explanation:
Triangle Inequality Theorem
What is the total area of this composite figure rounded to the nearest hundredth?
18.53 ft2
43.07 ft2
39.53 ft2
20.07 ft2
Answer:
B) 176 ft²
Step-by-step explanation:
Answer:
39.53 ft2
Step-by-step explanation:
If you are having a hard time with this it is most likely due to the semicircle. First you need to divide the diameter (3) by 1/2, next you multiply the now radius (radius is always 1/2 of the diameter) and pi to get 3.53.
Now you have to find the area of the rectangle, 3*12 = 36.
36 + 3.53 = 39.53 rounded.
The ratio of bananas to melons is 30:1 if there are 300 bananas how many melons are there
Answer:
10 melons
Step-by-step explanation:
The rate of change is 10.
30 : 1
300 : x
Multiply 30 x 10 to get 300. And you do the same to 1 and x. So, 1 x 10 = 10. So x = 10
So it would look like this -
30 : 1
300 : 10
hope this HELP! :)
8.91 divided by 5 dividing with decimal
Answer:
1.782
Step-by-step explanation:
8.91 ÷ 5= 1.782
Answer: 1.782
Step-by-step explanation:
Divide 8.91 by 5
1.782
HELP!!!!! I dont understand this!
Answer:
-14
Step-by-step explanation:
I might be wrong, but this is my interpretation of the problem.
To solve this problem, find the endpoints of the line in the interval. Then draw a line between those two points. Finally, find the slope of the line that passes between the two points.
The line is f(x) = -2x^(2) + 2x + 1
The interval (in standard notation) is (3 [tex]\leq[/tex] x [tex]\leq[/tex] 5)
So when x = 3,
-2x^(2) + 2x + 1
-2(3)^(2) + 2*3 + 1
-2 * 9 + 6 + 1
-18 + 7
- 11
One endpoint is: (3, -11).
When x = 5
-2x^(2) + 2x + 1
-2(5)^2 + 2*5 + 1
-2 * 25 + 10 + 1
-50 + 11
-39
The other endpoint is; (5, -39).
Find the slope of a line passing through these two points.
The formula to find the slope of a line is:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]x_{1}[/tex] = 3
[tex]y_{1}[/tex] = -11
[tex]x_{2}[/tex] = 5
[tex]y_{2}[/tex] = -39
((-39) - ( -11))/((5) - (3))
Simplify
-28/2
-14
A 4 quart container of window cleaner costs $12.48. What is the price per cup?
Answer:
$3.12
Step-by-step explanation:
A quart is 4 cups
Divide the Price $12.48 by 4 = $3.12 a cup
"mailing labels are sold in packages of 16 envelopes are sold in packages of 20 what is the least number of labels and envelopes you can buy so that there is one label on each envelope with none left over?"
Answer:
80 labels
Step-by-step explanation:
The number of packages are 16 envelopes and 20 envelopes
We solve using LCM Method
We find the Multiples of 16 and 20
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Therefore,
LCM(16, 20) = 80
The least number of labels and envelopes you can buy so that there is one label on each envelope with none left over = 80 labels
Answer:
80 labels
Step-by-step explanation:
A city bus compny sold 35 one-way tickets and 20 round trip tickets from west elmwood to east elmwood. One way tickets cost $14. Round trip tickets cost $27. How much money did the bus company collect?
Answer:
$1,030
Step-by-step explanation:
Step 1- Multiply One way tickets by How much the tickets cost:
35 x 14= 490
Step 2- Multiply Round trip tickets by how much the tickets cost:
20 x 27= 540
Step 3- Add both sums together:
490 + 540= 1,030
Therefore, the answer is $1,030
15 pts and brainliest, true, correct answers only
If N∈AB and AN= 1 3 · AB, then BN = · AB.
Answer:
13
Step-by-step explanation:
Not sure, i'm sorry
should be the same logic as
a=b
b=c
a=c