Option D is the correct answer (We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%)
Since the confidence interval is calculated for population proportion (parameter) based on sample data.
What is a confidence interval?Because the figure is based on a sample of the population you are investigating; there is always uncertainty when you generate an estimate in statistics, whether it be a summary statistic or a test statistic. The confidence interval is the range of values. If you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time. The alpha value determines the confidence level, the proportion of times you anticipate being able to recreate an estimate between the top and lower boundaries of the confidence interval.
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what number can u multiply 8 by to get 120 how can you use this number to solve part of the problem
Answer: 15
Step-by-step explanation:
n=number
8*n=120
n=120/8
n=15
Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point.
For any given point, the transformation that occurs is
The x - coordinate is translated 4 units to the right and the y - coordinate is translated 8 units up. What are transformations?Transformations are mathematical operations that are performed on a function or object to change is shape or orientation or value.
The types of transformations that can be performed on an object or function include
TranslationDilationReflection andRotationHow to describe the trnasformation that occurs given the rule (x,y) --> (x - 4, y + 8).Given the transformation rule (x,y) --> (x - 4, y + 8), we see that both the x and y coordinated are shifted or translated.
The x - coordinate is translated 4 units to the right and the y - coordinate is translated 8 units up.So, for any given point, the transformation that occurs is
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Tola is moving into a rental house. The owner wants Tola to pay a
security deposit of $443 as well as the first and last month's rent. Tola's
monthly rent is $910. What will be Tola's total move-in costs for the
rental house?
Answer:
go ask ur maths teacher duh it will be more easy
(a) Make the subject of the formula t
2(a+t)=5t+7
A 12 cm by 20 cm photograph is on display in an art gallery. The gallery curator wants to hang other photographs in the gallery that are the same size. To resize the photographs without distorting the image, the curator needs to find photographs that are proportional to the original one. The dimensions of several photographs are shown. Which photograph’s dimensions are proportional to the original photograph? Select all that apply.
Answer:
.
Step-by-step explanation:
The cost of a ticket to the circus is $23.00 for children and $47.00 for adults. on a certain day, attendance at the circus was 500 and the total gate revenue was $18,700. how many children and how many adults bought tickets?
Answer:
200 children and 300 adults
Step-by-step explanation:
No. of children = c
No. of adults = a
EQUATION 1: a + c = 500
EQUATION 2 : 23c + 47a = 18700
a = 500 - c
23c + 47(500 - c) = 18700
23c + 23500 - 47c = 18700
-24c = 18700 - 23500
-24c = -4800
-4800/-24 = c
c = 200
a = 500 - 200
a = 300
7th GRADE SCIENCE QUESTION PLEASE ANSWER AS FAST AS YOU CAN I NEED IT (it can be 1 day late is fine... Ok I'll give you today like this minute and you can answer it when it is posted about 1-2 days but if you can answer it now that will be great)!!!
Question #1: State the role of a nucleus in a cell.
a youth chorus has 30 members. there are 14 boys in the chorus. what is the ratio of boys to girls in simplest form? 715 7 over 15 87 8 over 7 815 8 over 15 78
The ratio of boys to girls in Simplest form is [tex]\frac{7}{8}[/tex] or 7:8 .
Ratio is defined as the term that is used to compare two or more numbers.
It is denoted by a:b and ":" is read as "is to" .
For Example , In a mixture of 10liter there 9 liter of milk and 1 liter of water ,
So the ratio of milk to water in the mixture will be 9:1 or [tex]\frac{9}{1}[/tex].
In the given question
Total members = 30
Number of Boys =14
Number of Girls = 30-14=16
The ratio of boys to girls =[tex]\frac{14}{16} =\frac{7}{8}[/tex] or 7:8 .
Therefore , the ratio of boys to girls in simplest form is 7:8.
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Rewrite the expressions using the distributive property:
3 (2x+7)
Answer:6x+21
Step-by-step explanation:
hope this helps
Which expression has a value of 8?
. 21 - 3 × 5
. (28 ÷ 4) + (10 × 2)
. (16 ÷ 4) + 3 × 2
. 4 × 5 - 6 × 2
Answer:
Hi, it's D.
Step-by-step explanation:
[tex]4\times \:5\\= 20\\6\times \:2\\= 12\\20-12\\= 8[/tex]
Given m || n, find the value of x and y.
Solve system of equations.
y=2 x+1
y=3 x
The system of equations involving y = 2x + 1 and y = 3x has the solution written as an ordered pair (1 , 3).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Using substitution method, given two linear equations in x and y,
y = 2x + 1 (equation 1)
y = 3x (equation 2)
Since both equations are in the form of y in terms of x and some constant, substitute the second equation to the first equation.
y = 2x + 1 (equation 1)
3x = 2x + 1
Combining the all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.
3x - 2x = 1
x = 1
Substituting the value of x in the second equation,
y = 3x (equation 2)
y = 3(1)
y = 3
Writing it as an ordered pair, we got (1 , 3) as the solution of the system of equations involving y = 2x + 1 and y = 3x.
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40) SHOPPING Stevenson's Market is selling 3 packs of stylus pens for $5.00. How
much will 10 packs of stylus pens cost at this price?
The cost of ten pack of stylus pen is $(50/3).
This problem can be solved by unitary method and can be understood by the following process.
In this method we have to determine the cost of a unit of product and then the total amount by multiplying the unit cost by the desired quantity what we want.
Here, it is given that three packs of stylus pen costs $5.
Cost of one pack of stylus pen = $ 5/3
Therefore cost of 10 packs of stylus pen = $(5/3)*10
= $(50/3)
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a swimming pool has the shape of a right circular cylinder with radius 20 feet and height 10 feet. suppose that the pool is full of water weighing 62.5 pounds per cubic foot.
Answer:
The water required to pump all the water to a platform 2 feet above the top of the pool is is 6061310.32 foot-pound.
Step-by-step explanation:
f(x)=7/3x -9 for f(-3)
An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable. If f(x)=7/3x -9 then f(-3) is -88/9.
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Given function is
f(x)=7/3x -9
where x=-3.
Subtract x=-3 in the above function.
f(-3)=7/3(-3) - 9
f(-3)=7/-9 - 9
f(-3)=-7/9-9
f(-3)=(-7-81)/9
f(-3)=-88/9
Therefore f(-3) is -88/9.
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help the question is in the picture
Answer:64
Step-by-step explanation:33+116=149
180-149=31
31+33=64
Help! factoring out the gcf from the equation 4w with an exponent of 3 subtracted from 12w with an exponent of 2
The GCF of [tex]12w^{2} - 4w^{3}[/tex] is [tex]4w^{2}[/tex].
The Greatest Common Factor (GCF) of two or more numbers is defined as the factors which is common and highest .
For Example The GCF of 6 and 8
express 6=2*3
8=2*2*2. since 2 is common in both the GCF is 2.
In the given question
we need to factor out gcf from [tex]12w^{2} - 4w^{3}[/tex]
first express both terms in prime factors
[tex]12w^{2} =3*4*w*w[/tex]
and
[tex]4w^{3} =4*w*w*w[/tex]
the equation becomes
[tex](3*4*w*w-4*w*w*w)[/tex]
we can see that [tex]4*w*w[/tex] is common in both the terms .
So we can write [tex]4w^{2} (3-w)[/tex]
Therefore [tex]4w^{2}[/tex] is the gcf by factoring of [tex]12w^{2} - 4w^{3}[/tex].
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Sam gets $6.00 each week for allowance. he wants to purchase a toy that costs $24.00. he also wants to purchase a movie that costs $6.00. label your drawings with toy
Answer:
$36
Step-by-step explanation:
$6.00+$24.00+$6.00
Please answer number one and two.
[tex]\sqrt{40+9}[/tex]
[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
The simplified forms of the given expressions are
7[tex]2\sqrt[3]{2}[/tex]Evaluating an expressionFrom the question, we are to evaluate the given radical expressions
The given radical expressions are
[tex]\sqrt{40+9}[/tex]
and
[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
Evaluating [tex]\sqrt{40+9}[/tex]
[tex]\sqrt{40+9}[/tex]
= [tex]\sqrt{49}[/tex]
= 7
Evaluating [tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
[tex]\frac{\sqrt[3]{125+3} }{2}[/tex]
= [tex]\frac{\sqrt[3]{128} }{2}[/tex]
= [tex]\frac{\sqrt[3]{64 \times 2} }{2}[/tex]
= [tex]\frac{\sqrt[3]{64 } \times \sqrt[3]{2} }{2}[/tex]
= [tex]\frac{4\times \sqrt[3]{2} }{2}[/tex]
= [tex]\frac{4 }{2} \times \sqrt[3]{2}[/tex]
= [tex]2\times \sqrt[3]{2}[/tex]
= [tex]2\sqrt[3]{2}[/tex]
Hence, the simplified forms of the given expressions are
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Students were surveyed about what summer camp they would be attending.
Camp Name Number of Students
Camp Arrowhead 130
Camp Kern 220
Camp Redwood 170
Of the students that stated they would be going to Camp Redwood, 20% did not go to camp. Of the students that stated they would be going to Camp Kern, 15% did not go to camp. How many more students went to Camp Kern than Camp Redwood?
If the students that stated they would be going to Camp Redwood, 20 percentage did not go to camp and the students that stated they would be going to Camp Kern, 15 percentage did not go to camp, then 51 more students went to camp kern than camp redwood
The total number of students in Camp redwood =170
Number of students who didn't attend the camp redwood = 170×(20/100)
=34 students
Number of students who went to camp redwood =170-34
=136 students
Total number of students in Kern camp = 220
Number of students who didn't attend the camp Kern=220×(15/100)
=33 students
Number of students who went to camp kern =220-33
=187 students
How many more students went camp Kern than Camp Redwood= 187-136
=51
Hence, 51 more students went to camp kern than camp redwood
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Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken. Write an expression to represent this situation.
The expression when Bryar gathered 10 eggs from the chickens is 10 - x = 0.
How to calculate the expression?Let the eggs that are broken be represented by x.
Therefore, from the information, Bryar gathered 10 eggs from the chickens. When he got to the house, he discovered all of the eggs were broken.
Therefore, the expression will be:
10 - x = 0
This illustrates that there are zero left.
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if 10 customers show up between 9:00 am and 10:00 am and 25 customers show up between 10:00 am and 11:00 am, then there is a variability in customer
if 10 customers show up between 9:00 am and 10:00 am and 25 customers show up between 10:00 am and 11:00 am, then there is a variability in customer Arrivals.
What is variability?The term "variability" (also known as "spread" or "dispersion") describes how dispersed a set of data is. You may use statistics to compare your data to other sets of data by using the term "variability" to indicate how much the data sets differ from one another.
In a data collection, there are four major approaches to describe variability:
Range: The difference between your smallest and largest piece in the set called the range.Interquartile range: The interquartile range is virtually identical to the range, with the exception that you only give the value for the "middle fifty" as opposed to the range for the whole data set.Variance: A data set's variance offers you a general indication of how evenly distributed your data is.Standard deviation: You may determine how closely your data is grouped around the mean using the standard deviation (the average).To learn more about variability , visit:
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is a criterion of causality that requires a change in a predictor variable (x) to be consistently associated with some change in the explanatory variable (y).
Correlation or co variation a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) .
What is general deterrence?
In contrast to "specific" deterrence, which refers to the effects of legal punishment on those who actually receive them, "general" deterrence refers to the consequences of legal punishment on the broader population (possible offenders).
How do you explain correlation?
If two variables move in the same direction, they are said to have a positive correlation; if they move in opposing ways, they have a negative correlation. Correlation is a statistical word that describes the degree to which two variables move in coordination with one another.Learn more about Correlation
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The complete question is -
--------------- a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) ?
How many 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of stock? allow 7/32 inch for waste on each blank.
The number of the 1(3/4) inch blocks will be 34 out of the 5 feet of stock.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that 1 3/4-inch long machine bolt blanks can be cut from a 5-foot length of the stock. The number of the blocks will be calculated as below:-
Number = 5 foot / ( 1(3/4)
Number = 60 / ( 7/4)
Number = 34.2
Therefore, the number of the 1(3/4) inch blocks will be 34.
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Alex is buying a sweater that originally costs $35 and a pair of jeans that originally cost $28. If the sweater is marked down 30% and the jeans are marked down 15%, find the total cost, including 8% sales tax.
Answer: $67.28
Step-by-step explanation:
3/4 ÷ 9 =
answer Issssssss
Answer: 0.08333333333
Step-by-step explanation:
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 12.
Answer: Our required equation would be
Step-by-step explanation:
Since we have given that
y=30, when x = 6.
As there is direct proportion between x and y.
so, it becomes,
So, the equation connecting y and x would be
When we put the value of k, we get that
Hence, our required equation would be y=5x
Help me, please for my Maths Homework I don't understand I need answers
The resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)
Translating coordinates ofa triangleThe triangle is a shape that has three sides and angles. Given the coordinate points of the triangle given as:
A(-2, 3)
B (-2, 5)
C (-4, 5)
If the coordinate points is translated by the vector (2, -7), hence the resulting coordinate points will be:
A' = (2+2, 3-7) = (4, -4)
B' = (-2+2, 5-7) = (0, -2)
C' = (-4-2, 5-7) = (-6,-2)
Hence the resulting coordinate points after translation is (4, -4), (0, -2) and -6,-2)
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Solve for y 11x+y= 18x
Answer: y = 7x
Step-by-step explanation:
11x + y = 18x
-11x -11x
y = 7x
To make a sweater out of fabric, ruth needs 1 1/2 yards of fabric. if ruth bought 8 3/4 yards of fabric, how many sweaters can she make?