The probability that the proportion of the sample who are iphone users is between 45% and 50% be 22.87%.
The probability that more than 50% of americans are iphone users be 11.12%.
(a)We know, p = 0.47 and n = 100. First, we should check our conditions for the sampling distribution of the sample proportion.
np = (100)(0.47) = 47 and n(1 - p) = (100)(1 - 0.47) = 53
Since, X will have a sampling distribution that is approximately normal with mean = 0.47
and
standard deviation = √(0.47)(0.53)/100 ≈ 0.05
P(0.45<X<0.50) = P((0.45 - 0.47)/0.05 < Z < (0.50-0.47)/0.05)
P(0.45<X<0.50) ≈ 0.2287
Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 22.87% chance that we would see a sample proportion between 45% and 50% when the sample size is 100.
(b) Now, p = 0.47 and n = 50.
np = (50)(0.47) = 23.5 and n(1 - p) = (50)(1 - 0.47) = 26.5
Since, X will have a sampling distribution that is approximately normal with mean = 0.47
and
standard deviation = √(0.47)(26.5)/50 ≈ 0.25
P(X>0.50) = P(Z > (0.50-0.47)/0.25)
P(X>0.50) ≈ 0.1112
Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 11.12% chance that we would see a sample proportion more than 50% when the sample size is 50.
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reggiethenerd10 what is (8.7 + 3.3) x (1/2) 2 to the second power
Answer:
3
Step-by-step explanation:
The value of the operation is 3.
The first step is to solve for the terms in the brackets.
The decimals would be added first 8.7 + 3.3 = 12
The second step is to determine the square of one-half² = x = 1/4
The third step is to multiply, 1/4 by 12 1/4 x 12 = 3
ADDITION AND SUBTRACT OF RATIONAL ALGEBRAIC EXPRESSION WITH UNLIKE DENOMINATORS. (See the picture)
The evaluation of the rational algebraic expression are presented as follows;
1. [tex]\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}[/tex]
2. [tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2 + 2\cdot x \cdot y + y^2}{x \cdot y}[/tex]
3. [tex]\dfrac{3 \cdot x + 1}{x^2+2\cdot x +1} +\dfrac{5}{2\cdot x + 8} =\dfrac{11\cdot x^2 +36\cdot x +13}{2\cdot x^3 + 12\cdot x^2 + 18\cdot x+ 8}[/tex]
What is a rational algebraic expression?
A rational algebraic expression is an algebraic expression that consists of a quotient and divisor that consists of variables and numbers.
1. [tex]\dfrac{1}{3} + \dfrac{2}{5}[/tex]
[tex]\dfrac{1}{3} + \dfrac{2}{5} = \dfrac{5\times 1 + 2 \times 3}{3\times 5} =\dfrac{5 + 6}{15}[/tex]
[tex]\dfrac{5 + 6}{15} = \dfrac{11}{15}[/tex]
Therefore, we get;
[tex]\dfrac{1}{3} +\dfrac{2}{5} = \dfrac{11}{15}[/tex]
2. [tex]\dfrac{x + y}{x} + \dfrac{x + y}{y}[/tex]
[tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}[/tex]
[tex]\dfrac{y\times (x + y) + x\times (x+ y)}{x\cdot y}= \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}[/tex]
Therefore;
[tex]\dfrac{x + y}{x} + \dfrac{x + y}{y} = \dfrac{x^2+ 2\cdot y \cdot x +y^2 }{x \cdot y}[/tex]
3. [tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}[/tex]
[tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8} = \dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)}[/tex]
[tex]\dfrac{(3 \cdot x + 1) \times (2\cdot x + 8) + 5 \times (x^2 + 2\cdot x + 1) }{(x^2 + 2\cdot x + 1) \times (2\cdot x + 8)} = \dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}[/tex]
[tex]\dfrac{3 \cdot x + 1}{x^2 + 2\cdot x + 1} + \dfrac{5}{2 \cdot x + 8}=\dfrac{11\cdot x^2+ 36\cdot x+ 13}{2\cdot x^3 + 12\cdot x^2+18\cdot x+ 8}[/tex]
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What is 4.2x + 5.5y= 38
I hope this helps!
42x +55y =380
The points (-2,t) and (-1,-6) fall on a line with a slope of 2. What is the value of t?
Pls Help! Tysm if u do!
The required value of t according to the given question is - 8.
Given points are (-2,t) and (-1,-6)
Now let these two points be considered as
A and B that is let the points be A(-2,t) and B(-1,-6)
To find the slope of the graph we will use the formula m = y - y₁ / x - x₁
Given y = ty₁ = - 6x = - 2 x₁ = - 1
Thus on substituting these values in the above mentioned formula we will get m = t + 6 / - 1
Also given slope or m = 2Thus 2 = - t - 6 t = - 6 - 2 t = - 8
Thus the required value of t is - 8.
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Don't understand problem. Need help solving problem.
Answer:
x = -12
Step-by-step explanation:
x/-3 + 5 - 5 = 9 - 5
x/-3 = 4
x/-3 (-3) = 4(-3)
x = -12
a company that manufactures and bottles apple juice uses a machine that automatically fills 20-ounce bottles. there is some variation, however, in the amount of liquid dispensed into the bottles. the amount dispensed has been observed to be approximately normally distributed with mean 20 ounces and standard deviation 1 ounce. determine the proportion of bottles that will have more than 18 ounces dispensed into them. (round your answer to four decimal places.)
The proportion of bottles that will have more than 18 ounces dispensed into them is 0.0228
Proportion relationship:
Proportion means a relationships between two variables where their ratios are equivalent and it is the way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Given,
A company that manufactures and bottles apple juice uses a machine that automatically fills 20-ounce bottles. there is some variation, however, in the amount of liquid dispensed into the bottles. the amount dispensed has been observed to be approximately normally distributed with mean 20 ounces and standard deviation 1 ounce.
Here we need to determine the proportion of bottles that will have more than 18 ounces dispensed into them and round the answer to the four decimal places.
Here we have to use tables to determine the proportion of bottles that will have more than 18 ounces dispensed into them.
Let us consider X denote the amount of juice dispensed.
Then it can be written as,
P (X >18) = P (Z > (20 - 18)/1)
=> P (X >18) = P (Z > 2)
=> 1 - Ф(2)
=> 1 - 0.9772
=> 0.0228
Hence the proportion of the bottles that will have more than 18 ounces dispensed into them is 0.0228.
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Solve for a in terms of b, c, and d.
c=a+b–d
a professor wants to study the effectiveness of a new study tool for a course. there are 150150150 students registered for the course. the professor assigns each student a number from 111 to 150150150 and uses a random number generator to assign the first 757575 students selected to use the new study tool. the remaining 757575 subjects are assigned to use the previous study tool. what type of experiment design is this?
This is a "completely randomized" type of experiment design.
In terms of data analysis as well as accessibility, and simplicity a randomized design is perhaps most likely the shortest experimental study.
The investigator expects that sometimes extraneous influences would affect treatment conditions similarly in general, so that any substantial improvements across conditions may be allocated appropriately towards the individual entity.
Thus the above approach is right.
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Solve for n:-
[tex]\sf n - 3n = 14 - 4n[/tex]
Answer:
n = 7
Step-by-step explanation:
The equation is,
→ n - 3n = 14 - 4n
Now the value of n will be,
→ n - 3n = 14 - 4n
→ -2n = 14 - 4n
→ -2n + 4n = 14
→ 2n = 14
→ n = 14/2
→ [ n = 7 ]
Hence, the value of n is 7.
I need help on this problem can anyone help me?
The polygon's WXYZ and ABCD are similar.
What is similar figures?
The same shape between two figures is referred to as similarity. If two figures have congruent corresponding angles and equivalent length ratios on their corresponding sides, they are said to be similar mathematically. The scale factor is the name of this often used ratio.
Consider, the polygons WXYZ and ABCD
The angles, "∠W and ∠A" and "∠Y and ∠C" are congruent to each other.
Also, the angles "∠Z and ∠D" and "∠X and ∠B" are congruent to each other.
Now consider, the sides
The sides "WZ and AD", "XY and BC" and "WX and AB" , "ZY and DC" are having the equivalent ratio.
Therefore, the polygons WXYZ and ABCD are similar.
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1/7a + 1/7 = ?
YALL HELP I LOST MY NOTES
Step-by-step:
1)Combine multiplied terms into a single fraction
1/7a+ 1/7
1a/7+1/7
2)Multiply by 1
3)Combine fractions with a common denominator
Solution
a+1/7
Hope That helps!
What is the Value of a,b,c and d?
Answer:A is 7 B is -1 C is -9 D is -13
Step-by-step explanation: I hoped i have helped u! Have a wonderful day!
on
de)
yi
19 Dados los siguientes pares de medidas, explica en cada caso cuál es más precisa y justifica
tus elecciones.
34 cm ± 0.10 cm
14
14.8 cm
22.8 +0.1 cm
34 cm ± 0.12 cm
14.85 cm
6.2 + 0.1 cm
Answer: no clue
Step-by-step explanation: i don't know Spanish lol
solve for x
3(x-3) -5 (3x-2) [tex]\leq[/tex] 25
The solution of the given inequality is when the value of x is greater than or equal 2.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given expression is 3(x-3) -5 (3x-2)≤ 25.
Therefore, the given inequality can be solved as,
3(x-3) - 5(3x-2) ≤ 25
3x - 9 - 15x + 10 ≤ 25
-12x + 1 ≤ 25
-12x ≤ 25 - 1
-12x ≤ 24
x ≥ 2
Hence, the solution of the given inequality is x ≥ 2.
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denise did 7/8 of the problems on her quiz correctly and five incorrectly. how many problems were on the test
The quiz consists of 40 problems and it solved by a linear equation.
What is the linear equation?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
Assume that the quiz consists of n problems.
Denise did 7/8 of the problems correctly.
If the total number of problems of the quiz is n, the number of answers that are correct is (7/8)× n.
The number of incorrect problems are 5.
Total number of problems those are done by Denise is { (7/8)× n}+5.
Assume that Denise attempts all problems.
Now making a linear equation:
{ (7/8)× n}+5 = n
(7n)/8+5 = n
(7n+40)/8 = n
(7n+40) = 8n
Subtract 7n from both sides:
7n+40 -7n = 8n - 7n
40 = n
The number of problems in the quiz is 40.
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Sam catches a sale on airline tickets that are being discounted 15%. He purchases a flight that normally costs $235. What is the new price of the flight?
The new price of the flight is $208.25
How to determine the new price of the flight?In this question, we have the following parameters
Discount proportion = 15%
Cost of flight = $245
This means that
New price = Cost of flight x (1 - Discount proportion)
Substitute the known values in the above equation, so, we have the following representation
New price = $245 x (1 - 15%)
Evaluate the product
New price = $208.25
Hence, th new price is $208.25
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A city doubles its size every 83 years. If the population is currently 88,200, what will the
population be in 249 years?
people
Answer:
264,600
Step-by-step explanation:
249 ÷ 83 = 3
88,200 ×3 = 264,600
Nachelle signed up for a streaming music service that costs $6 per month. The service
allows Nachelle to listen to unlimited music, but if she wants to download songs for
offline listening, the service charges $1.25 per song. How much total money would
Nachelle have to pay in a month in which she downloaded 20 songs? How much
would she have to pay if she downloaded s songs?
K
Cost with 20 songs:
Cost with s songs:
The cost of s and 20 songs are $1.25s and $25 respectively.
What is multiplication?Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.
Example - 2 × 3 means 2 is added three times or 3 is added 2 times.
Given that music services cost $6 per month to Nachelle.
And to download songs for offline listening, the service charges $1.25 per song.
If she wants to download s songs,
The cost of s songs = the cost of one song multiplied by s
The cost of s songs =$1.25 multiplied by s
The cost of s songs = $1.25s
Here s = 20 then
cost of 20 songs = $1.25 x 20
= $25
Therefore the cost of s and 20 songs are $1.25s and $25 respectively.
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Dolev shared his pretzels equally among 5 friends. If each friend received 7 pretzels, how many pretzels did Dolev have? Select all that apply. StartFraction p Over 5 EndFraction = 7 Divide by 5 on both sides of the equation. Multiply by 5 on both sides of the equation. 7 × 5 = 35. 7 ÷ 5 = 1.4. Dolev had 35 pretzels.
The correct options are that Multiply by 5 on both sides of the equation.
7 × 5 = 35. thus Dolev had 35 pretzels.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have been given that Dolev has 5 friends and each friend got 7 pretzels, the equation that can be used to represent this will be;
p / 5 = 7
In order to determine the value of p, the following steps would be taken :
Now Multiply both sides of the equation by 5:
p = 7 x 5
Then Determine the product of the numbers :
7 x 5 = 35
The correct options are; that Multiply by 5 on both sides of the equation.
Dolev had 35 pretzels.
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Evaluate if x³ if x = 6
This is a quiz but I was sick so I do now to do this pls show work
Answer:
Step-by-step explanation:
Answer: 108
Step-by-step explanation:
6 x 6 x 6=10
The half-life of a substance is the time it takes for half of that substance to break down or decay. The half-life of an unknown element is 1 day.
Write an equation for the amount remaining from a sample of 100 grams of the element after x days. How much of the substance will be left after 3 days? Where is the
asymptote?
Answer:
See below
Step-by-step explanation:
Amount = 100 (1/2)^x
after 3 days
amount = 100 ( 1/2)^3 = 12.5 gm left
Help me pls!!!!!!!!!!!!!!
Answer:
it's not possible
because Z^2 = Z*Z
and the condition to multiply two arrays is :
( the column in first array have to equal the row in the second array)
The number of computer security breaches is expected to increase at a yearly rate of 86%. Use the exponential growth model to determine the equivalent monthly rate. Enter the rate, to the nearest tenth of a percent, in the box. ___ %
The equivalent monthly growth rate is 7.2 %
How to find the equivalent monthly growth rate?Since the number of computer security breaches is expected to increase at a yearly rate of 86%. Using the exponential growth model we need to determine the equivalent monthly rate
.
What is exponential growth model?The exponential growth model is given by y = A(1 + r)ⁿ where
A = initial value,r = growth rate and n = timeWhat is growth rate?This is the rate at which the function increases.
Since the number of computer security breaches is expected to increase at a yearly rate of 86% we have that the growth rate, r = 86% per year.
To find the monthly growth rate, we covert this to per month by dividing by 12.
So, the monthly growth rate r' = r/12
= 86%/12
= 7.16 %
≅ 7.2 %
So, the monthly growth rate is 7.2 %
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Answer:
5.3%
Step-by-step explanation:
I took the test.
-6n² = -414
Please help me solve this
Answer:
8.31
Step-by-step explanation:
-6n² = -414
[take away negative]
6n² = 414
[divide by 6]
n² = 69
n = 8.3066 (to 5 significant figures)
n = 8.31 (to 3 significant figures)
What are some vocabulary words for slopes and equations in math?
Answer:
Vocabulary: slope and variable m rise over run slope formula y-intercept/variable b parallel lines and parallel equation perpendicular lines and perpendicular equatio Introduce or review key terms related to slope and angle: slope, grade, pitch, cardinal direction, slope angle, angle of depression/declination, and angle of elevation/inclination.
What is the m
9.4
m
15.1
K
Step-by-step explanation:
imagine a circle with J being the center, and JK being the radius.
then
sin(J) = 15.1/JK
cos(J) = 9.4/JK
we have one trigonometric function, where we don't need to calculate JK first : tangent.
tan(J) = sin(J)/cos(J) = 15.1/JK / 9.4/JK = 15.1/9.4 =
= 1.606382978...
J = 58.09705252...° ≈ 58.1°
Tyler uses 7.5 ounces of barbecue sauce from a full bottle.
He estimates that he used about 25% of the barbecue sauce in the bottle. About how much barbecue sauce was in the full bottle?
There was about
30
ounces of barbecue sauce in the full bottle.
b. Tyler uses 20% of the remaining barbecue sauce.
About how many ounces did he use the second time?
Tyler poured about
4.5
ounces the second time.
Barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.
Given:
Tyler uses 7.5 ounces of barbecue sauce from a full bottle ,he estimates that he used about 25% of the barbecue sauce in the bottle.
25% = 7.5
multiply by 4 on both sides
25%*4 = 7.5 * 4
100% = 75/10 * 4
= 300/10
Full bottle = 30 ounces.
b.
Tyler uses 20% of the remaining barbecue sauce.
Remaining sauce = 30 - 7.5
= 22.5
= 22.5*20/100
= 2.25*20/10
= 2.25*2
second time= 4.50 ounces
Therefore barbecue sauce was in the full bottle is 30 ounces and he use the second time is 4.5 ounces.
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ints
mily
Question 5
Which of the following is true?
O1-51-4
O1-41 <1-51
O1-51-5
O 1-41 > 151
Question 6
After simplification, the second option |−4| < |−5| is true.
In the given question,
There are four options. We have to check which option is true.
The given options are
1) |−5| < 4
2) |−4| < |−5|
3) |−5| = −5
4) |−4| > |5|
To find the true option we solve the given option one by one.
The first option is
|−5| < 4
Now solving
As we know that every value from the mod always give positive value.
So if we solve |−5| then the value is 5 and 5 is greater than 4. But in the given statement states that 4 is greater that 5. So the first statement is wrong.
Now solving the second statement.
|−4| < |−5|
After solving |−4|, the value is 4 and |−5| is 5.
So the simplified statement is 4 < 5 which is true.
Hence, the second statement is true.
Now we get the true statement so we haven't solve any further option.
If you want the solve next option the the way of solving the option is same.
Hence, the second option |−4| < |−5| is true.
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A train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. How far is the train from the station?
Answer
23
45
65
89
If a train leaves a station heading east. after traveling east for 33 miles, the train leaves 56 miles south. The distance of the train from the station is C. 65.
How to find the distance?Using Pythagoreans theorem formula to find the distance
d² = a² + b²
Where:
d = distance =?
a= east for 33 miles
b = 56 miles south
Let plug in the formula
d = √33² + 56²
d = √ 1089 + 3136
d = √4225
d = 65 miles
Therefore the correct option is C.
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Answer Asap
Thank u
Angle are ,x = 45 and y = 45
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
x + 45= 90x = 90-45x=45as x and y are alternate interior anglesy = 45Hence,Angle are ,x = 45 and y = 45
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