A public relations firm found that only 27% of voters in a certain state are satisfied with their U.S. senators. How large a sample of voters should be drawn so that the sample proportion of voters who are satisfied with their senators is approximately normally distributed?a) 38b) 14c) 10d) 48
Answers
Answer:
a) 38
Step-by-step explanation:
The normal distribution can be applied if:
\(np \geq 5\) and \(n(1-p) \geq 5\)
In this question:
\(p = 0.27\)
Then
a) 38
n = 38.
Then
38*0.27 = 10.26
38*0.73 = 27.74
Satisfies. But is this the smallest sample of the options which satisfies.
b) 14
n = 14
Then
14*0.23 = 3.22
14*0.77 = 10.78
Does not satisfy
c) 10
Smaller than 14, which also does not satisfy, so 10 does not satisfy.
d) 48
Greater than 38, which already satisfies. So the answer is a)
Related Questions
Answer the questions below.(a) Here are the prices (In thousands) for 10 houses for sale in a local neighborhood:$285, $286, $287, $290, $292, $295, $300, $301, $306, $307.which measure should be used to summarize the data?MeanMedianMode(b) in a survey, a soft drink company asks people to name as many brands of soft drinks as they can.Which measure glves the most frequently mentioned brand?MeanMedianMode(c) In the past 9 days, Kira has received the following numbers of email advertisements per day:40, 41, 43, 45, 48, 49, 50, 52, 85.Which measure should be used to summarize the data?O MeanMedianMode$2
Answers
a.
The data set shows the prices for houses.
Looking at the values, they lie near to the same value.
In this case, we can summarize the prices with the mean or median.
b. The survey was made to find how many names of brands of soft drinks they know. In this case, is important to know which soft drinks are the most popular.
Hence, the measure that gives the most frequently mentioned brand is the mode.
c. Kira has received many emails per day.
The emails also lie near to the same value except for the number of 85.
Where 85 represents an outlier (a value in a data set that is very different).
When we have outliers is better to use the median.
Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?
Answers
Answer:
0.32
Step-by-step explanation:
just divide
Answer:
$6
Step-by-step explanation:
25%= 1/4
8 divided by 4 =2
$2 is what is taken off
$8-$2 which is $6
The question is in the picture.
Answers
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years 1970-1979 (in million km2): 6.5 12.0 14.9 10.0 10.7 7.9 21.9 12.5 14.5 9.2 What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
Answers
Answer:
Step-by-step explanation:
From the given information,
The ten observation data on october snow cover for Eurasia during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2
What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?
For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,
Remove the smallest and the largest values to compute the trimmed mean
\(\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465\)
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
Answers
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
Answers
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
Answers
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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the soccer team manager plans to have 2 gallons of water for every 4 players on the team during practice. determine whether the statements about ratios are true or false.
A. The team manager needs 1 gallon of water for every 1 player
` true or false
B. The ratio of number of players to gallons of water is 2:1
` true or false
C. The team manager ould need 4 gallons of water for 10 players
` true or false
D. For 30 players, the team manager would need 15 gallons of water ` true or false
Answers
Answer:
A.=False
B.=True
C.=False
D.=True
Step-by-step explanation:
The original ration is 2 gallons of water for 4 players.
Each player requires 1/2 gallon of water.
To get the amount of water needed multiply 1/2 by the amount of players.
1*(1/2) does not equal 1
2*(1/2) equals 1
10*(1/2) does not equal 4
30*(1/2) equals 15
If a minivan averages 29.3 miles per gallon, how many miles will it travel on 17 gallons of gas?
Answers
Answer:
498.1 gallons
Given the following data:
Quantity of gas = 17 gallons of gas
Rate = 29.3 miles per gallon
To determine the number of miles the minivan would travel on 17 gallons of gas:
In this exercise, you're required to determine the number of miles that a minivan would travel or cover if it consumes 29.3 miles per gallon on the average.
Therefore, we would multiply the rate by the quantity of gas to find the total distance travelled.
Mathematically, this is given by the expression:
\(Total\;distance = Rate \times Quantity\;of\;gas\\\\Total\;distance = 29.3 \times 17\)
Total distance = 498.1 miles
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trouve trois nombres entiers consécutifs dont la somme vaut 513
Answers
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
The distribution of the heights of students in a large class is roughly bell-shaped. Moreover, the average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches. Thus, the standard deviation of the height distribution is approximately equal to:_______
a. 2
b. 3
c. 6
d. 9
e.12
Answers
Answer: a. 2
Step-by-step explanation:
According to the Empirical rule, when data is normally distributed then 95% of the lies within 2 standard deviations from mean.
Given: The distribution of the heights of students in a large class is roughly bell-shaped ( i.e. Normally distributed).
The average height is 68 inches, and approximately 95% of the heights are between 62 and 74 inches.
Then, by Empirical rule, 68 -2(standard deviations) =62 [lower limit]
⇒ 2(standard deviations)= 68-62 = 4
⇒ standard deviations=2
Hence, correct option is a. 2
Answer:
B-3
Step-by-step explanation:
According to the empirical rule, roughly 95% of the distribution is within 2 standard deviations of the mean.
The mean is 68. The distance from 62 to 68 is 6 inches
68-62=6
Cut that in half to get 6/2 = 3
So the standard deviation is 3
the function has zeros at -1 and -11, and a minimum at -5
Answers
The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).
What is graph?In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.
In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.
According to given information:
Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):
\(f(x) = a(x- (-1))(x- (-11))\)
Simplifying, we get:
\(f(x) = a(x+1)(x+11)\)
To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:
\(-5 = (-1+(-11))/2\\-5 = -6\)
This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:
\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)
We also know that the function has a minimum at this point, so we can use this to find the value of a:
\(f(-6) = -5\\-5= -5a\\\\a = 1\)
Therefore, the quadratic function that satisfies these conditions is:
\(f(x) = (x+1) (x+11)\)
We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:
x-coordinate of vertex = \((-1 +(-11))/2 =-6\)
y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)
Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.
Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?
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An office building has 24 offices on each floor. Each office either face north, south, east, west , and the amount of offices that face each direction are the same. If each floor has the same setup and there are 33 floors, how many offices face east in the building?
Answers
Answer:
198
Step-by-step explanation:
33 * 24 = 792
792 / 4 = 198
In a sprint to the finish, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds?
Answers
Answer:
57 meters per 3 seconds
Step-by-step explanation:
^^^
1) Ms. Bonanno goes to the gym every 2 days. Ms. Zabo goes to the gym every
3 days. They both went to the gym on May 1. What is the next day Ms.
Bonanno and Ms. Zabo will be at the gym at the same day?
Answers
Answer:
may 6th
Step-by-step explanation:
2+3=5 so if they when on the 1st and 2 +3=5 1+5=6
a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
Answers
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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If point (4,5) is on the graph of a function, which equation must be true?O f5=4O f5,4)=9O f14)=5O f5,4)=1
Answers
we know the independent variable is x, so the function will be f(x)
to find this we need to clear variable Y, so:
\(\begin{gathered} 9x+3y=12 \\ 3y=12-9x \\ y=\frac{12}{3}-\frac{9}{3}x \\ y=4-3x \end{gathered}\)So the answer is:
\(f(x)=4-3x\)What is the first digit quotient for 18.6
Please respond ASAP
Answers
Answer: 18.6 is your answer because there is nothing behind the 6
Step-by-step explanation: hope this help :)
Find the exact value of each of the following under the given conditions. sin\alpha =(3)/(5),0<\alpha <(\pi )/(2);cos\beta =(6\sqrt(85))/(85),-(\pi )/(2)<\beta <0 (a) sin(\alpha +\beta ) (b) cos(\alpha +\beta ) (c) sin(\alpha -\beta ) (d) tan(\alpha -\beta )
Answers
The exact value of sin(α + β) is 0.85.
What are the trigonometric identities?Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
Given:
Two trigonometric identities;
sinα = 3/5 and cosβ = (6√85)/85.
cosα = 4/5 and sinβ = 49/85
The formula to calculate sin(α + β):
sin(α + β) = sinα cos β + cos α sin β.
Substituting the given values to the formula,
sin(α + β) = (3/5) {(6√85)/85} + (4/5)(49/85)
sin(α + β) = 0.85
Therefore, sin(α + β) = 0.85.
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(x-1)^2 + (y-2)^2 = 6.25
Answers
Answer: The center of the circle will be (1,2) and the radius will be 2.5
Step-by-step explanation: Basically since its (x-1) it would become x=1 so that's ur first value same thign with y but that would be ur second value. And since in your equation it is 6.25 that would be 2.5 because 6.25 is r^2 and you are looking for r.
Choose two statements that are true for this expression.
Answers
Answer: A and C
Step-by-step explanation: Brainliest please?
Please may I have some help thank you x
Answers
Answer:
I think x=2 because
3x4=12
12×2=24
×=2
Answer:
Th answer is 2cm
Step-by-step explanation:
3 x 4 = 12
24 / 12 = 2
Help please! This has to do with the Pythagorean theorem.
Answers
a^2+b^2=c^2
10^2+11^2=c^2
100+121=c^2
221=c^2
Square root both sides
14.87=c
Hope this helps!!
Jose bought a plant. The height, h, of the plant is 2 feet. He noticed that every month, m,
the plant grows by 0.5 feet. What equation represents the height of the tree?
Answers
Answer:
the answer is h=0.5m+2 I think
Rent for a 3 bedroom apartment is regularly $936 per month. Apartment management is offering one month free. If you sign a one year lease and apply the free month equally across months, how much is your new, monthly lease amount
Answers
The rent for The new monthly lease amount is $858.
To find out the new monthly lease amount, we need to take into account that there is one month free, which we need to apply to all the months of the lease period.
A one-year lease is for 12 months.
The total rent amount for 12 months = Regular rent for 12 months - One-month free rent= $936 × 12 - $936 = $11232 - $936= $10296
The free rent is distributed equally across the 12 months:$936 ÷ 12 = $78
The new monthly rent amount is the total rent amount for 12 months divided by the number of months:
Total rent amount for 12 months = $10296
New monthly lease amount = Total rent amount for 12 months ÷ 12
New monthly lease amount = $10296 ÷ 12
New monthly lease amount = $858
Therefore, the new monthly lease amount is $858.
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ma + (t + h)
M is -2
A is 5
T is -4
H is -8
Answers
Answer:
a
Step-by-step explanation:
Answer:
-22
explanation step by step
-2(5)+(-4+-8)
-10+-12
= -22
a sales manager analyzed the sales, in dollars, y, of snow shovels compared to the outside temperature, in degrees fahrenheit, x. the manager calculated the correlation coefficient of r
Answers
The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.
The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.
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A scooter travels 30 feet in 2 seconds what is the spend of the scooter in feet per second
Answers
Answer:
15 feet per second
Step-by-step explanation:
30÷2=15
Answer:
15 feet per second.
Step-by-step explanation:
30 feet in 2 seconds.
30 = 2x
Divide both sides by 2 so u can leave the x alone, and it gives you 15 = x.
How to find the discriminant of
y=x^2-10x+25
Answers
Answer:
discriminant = 0
Step-by-step explanation:
discriminant is b² - 4ac
in this problem, a = 1, b = -10, c = 25
you plug the values of a, b, and c into the discriminant formula: b² - 4ac
(-10)² - 4(1)(25) = 100 - 100 which equals zero
You can find the answer by using the method of "Factoring" the equation, the factored for will give you "(x-5)^2 =y" which can also be written as "(x-5) + (x-5). Good luck!
A point in the table for the transformed function is
Answers
Answer:
linear function
Step-by-step explanation:
straight line then add up