Answer:
The 95% confidence interval is [tex]0.1193 < p <0.4407[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]m = 30[/tex]
The sample proportion is [tex]\r p = 0.28[/tex]
Given that the confidence interval is 95% then the level of significance is mathematically represented as
[tex]\alpha = 100 - 95[/tex]
[tex]\alpha = 5\%[/tex]
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of the [tex]\frac{\alpha }{2}[/tex] from the normal distribution table, the value is
[tex]Z_{\frac{ \alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{ \alpha }{2} } * \sqrt{\frac{ ( \r p (1 - \r p ))}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{ (0.28 (1 - 0.28 ))}{ 30} }[/tex]
=> [tex]E = 0.1607[/tex]
The 95% confidence interval is
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.28 - 0.1607 < p < 0.28 + 0.1607[/tex]
=> [tex]0.1193 < p <0.4407[/tex]
Express as a trinomial. (x - 4)(2x - 5)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} - 13x + 20}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(x - 4)(2x - 5)}[/tex]
Use the distributive property to multiply each term of the first binomial by each term of the second binomial
⇒[tex] \sf{x(2x - 5) - 4(2x - 5)}[/tex]
⇒[tex] \sf{2 {x}^{2} - 5x - 8x + 20}[/tex]
Collect like terms
⇒[tex] \sf{2 {x}^{2} - 13x + 20}[/tex]
Hope I helped!
Best regards!!
Answer:
2x² - 13x + 20
Step-by-step explanation:
(x - 4)(2x - 5)
x(2x - 5) - 4(2x - 5)
Opening the brackets gives;
2x² - 5x - 8x + 20
Simplifying this equation gives;
2x² - 13x + 20
which statement is true about the graphed function?
Greetings from Brasil....
Remember that F(X) = Y
Looking at the graph we can conclude that:
Y > 0 when X < - 4 (up until -∞)
Y = 0 when X = - 4
Y < 0 when X > - 4 (up until +∞)
So choose:
[F(X) = Y] > 0 over the interval ]-∞; -4[
(last option)
I don’t get this at all :(
Answer/Step-by-step explanation:
We are told that:
Area of the given square = 1 square units
2 of the small triangles will make up the square when joined together.
Since area of the square is 1 square units, area of the 2 small triangles = 1 square units.
We are also told that 2 of the small triangle will also make up the medium triangle when joined together.
Therefore, since area of 2 small triangles = area of the square = 1 square units, the medium triangle would also have an area of 1 square units.
1. Area of the small triangle is ½ square units. I know this because 2 small triangles = area of the square = 1 square units.
2. The area of the medium triangle is 1 square units. I know this because 2 small triangles make up the medium triangle, and 1 small triangle has an area of ½ square units.
3. The area of the large triangle is 2 square units. I know this because if the medium triangle is made up of 2 small triangles, then 4 small triangles will make up the big triangle, or 2 medium triangle will make up the big triangle.
what the inverse of h(x)=2x^3+3
Answer:
[tex]\sqrt[3]{4(x-3)} /2[/tex]
Step-by-step explanation:
[tex] {2}^{x + 2 } = 9 \times( {2}^{x} ) - 2[/tex]
pls how is this solved
Hello, please consider the following.
[tex]{2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...[/tex]
Let me know if you need further explanation.
Thank you
You decided to gather some information for how many days it rained over a period of time. You observed that it rained on 17 days and it did not rain on 13 days. Write a ratio comparing the number of days it rained to the total days you were collecting data.
The correct answer is 17: 30
Explanation:
The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.
In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, [tex]\frac{17}{30}[/tex] or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.
If f(x) = 1, what is x equal to?
Answer:
Step-by-step explanation:
if f(x) = 1/(x+1)
the f(f(x)) means, wherever you see an "x" in the function.
plug in the function again.
so plug in "1/(x+1)" wherever you see an x
so...
1/(f(x) + 1)
1/((1/(x+1))+1)
now you're going to need to fix the denominator.
at the moment... this is what you're denominator looks like.
1/(x+1) + 1
so, combine them. find the LCD
LCD = x + 1
1/(x + 1) + x + 1 / x + 1
x + 2 / x + 1
that's your new denominator.
f(f(x)) = 1 / (x + 2 / x + 1)
because it's 1 / something. all you need to do is get the reciprocal of that "something"
so, what's the reciprocal of x + 2 / x + 1?
x + 1 / x + 2
that's your final answer.
next one.
remember, same deal, everywhere you see an "x" plug in the original function.
f(x) = x/(x+1)
f(f(x)) = f(x) / ( f(x) + 1 )
= [x / (x + 1) ] / [ (x / (x + 1) ) + 1 ]
so, right now this is your denominator.
(x / x + 1) + 1
combine, find the LCD, LCD = x + 1
x / x + 1 + x + 1 / x + 1
2x + 1 / x + 1
that's your new denominator.
so plug it in.
[x / (x + 1) ] / [2x + 1 / x + 1]
this is a little more complicated. but remember, whenever you divide by a fraction, it's the same as multiplying by it's reciprocal
so...
rewrite it like this.
x / (x + 1) * (x + 1) / 2x + 1
the x + 1 cancel out.
and you're left with
x / 2x + 1
hope that helps!
Which of the following phrases are inequalities?
Choose 3 answers:
2² – 5x + 6
11 > (w - 4)
y <3
D) 5+9 < 5.9
1.
Answer:
11 > (w- 4)
y < 3
5 + 9 < 5.9
So these are the phrases which are inequalities.
What is the solution to this equation?
4x = 124
Answer:
x = 31
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x:
[tex]4x=124\\\\\dfrac{4x}{4}=\dfrac{124}{4}\qquad\text{divide by 4}\\\\x=31\qquad\text{simplify}[/tex]
Compute the sum of the positive divisors of 448.
The sum of the positive divisors of 448 will be 1,016.
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The number 448 can be divided by 14 positive divisors (12 are even, and 2 are odd). The sum of these divisors is 1,016, the average is 72.,571.
Therefore, the sum of the positive divisors of 448 will be 1,016.
To know more about expression follow
https://brainly.com/question/723406
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What is (20-(-16))=20+16=36
Answer:
Yes.
(20-(-16)) = 20 + 16
20 + 16 = 36 thus
(20-(-16)) = 36
Step-by-step explanation:
With your equation, I'm pretty sure you are trying to determine whether or not this equation is true. Let's start with the first part.
(20-(-16))
Let's break it down.
20 - -16
Whenever a number is like that, it becomes a positive. (I don't really remember what its called, but it flips in negativity)
20 + 16
20 + 16 = 36.
36 = (20-(-16))
51 POINTS!!!!!! (3x-y=2)*2
Answer:
Solving for the variable, x: [tex]x = \frac{1}{3}y + \frac{2}{3}[/tex]
Solving for the variable, y: [tex]y = 3x - 2[/tex]
Step-by-step explanation:
IF:
You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. First, follow PEMDAS, then do the opposite of PEMDAS.
First, distribute 2 to all terms within the parenthesis:
(3x - y = 2) * 2 = (6x - 2y = 4)
Next, solve for x. Add 2y to both sides:
6x - 2y (+2y) = 4 (+2y)
6x = 4 + 2y
Next, divide 6 from both sides:
(6x)/6 = (4 + 2y)/6
x = (2y)/6 + (4)/6
x = (1/3)y + (2/3)
IF:
You are solving for the variable, y. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, y. First, follow PEMDAS, then do the opposite of PEMDAS.
First, distribute 2 to all terms within the parenthesis:
(3x - y = 2) * 2 = (6x - 2y = 4)
Next, solve for y. Subtract 6x from both sides:
6x - 2y = 4
6x (-6x) - 2y = 4 (-6x)
-2y = -6x + 4
Then, divide -2 from both sides:
(-2y)/-2 = (-6x + 4)/-2
y = (-6x)/-2 + (4)/-2
y = 3x + (-2)
y = 3x - 2
~
We perform an experiment that consists of independent trials where the probability of success is p = 0.25. (a) Let X be the number of successes in 800 trials. Using the appropriate approximation, calculate P{X > 220}.
Answer:
0.0482
Step-by-step explanation:
Given the following :
Probability of success : p(success) = 0.25
Number of trials = 800
X = number of successes
Calculate P(X > 220)
The problem above can be solved using the binomial probability formula:
P(X > 220) = P(X = 221) + P(X =222)... + P(X =800)
To save computation time, we coild use the online binomial probability calculator :
P(X > 220) = 0.0482
The binomcdf function of a graphing calcukatur can also be used :
1 - binomcdf(800, 0.25, 220)
1 - (0.95177363855) = 0.04822
What is the factored form of the binomial expansion 64x3 − 336x2y + 588xy2 − 343y3?
Answer:
Below
Step-by-step explanation:
● 64x3 − 336x2y + 588xy2 − 343y3
● (4x)^3 - 3 × 112x^2y + 3 × 196xy^2 - (7y)^3
● (4x)^2 - 3× 16x^2 × y +3× 4x×49y^2-(7y)^3
● (4x-7y)^3
Given the equation: 2x – 4 = 7, which property should be applied first?
Answer:
Step-by-step explanation:
That depends upon what your goal is. State your goal specifically.
If the instructions say to "solve the following equation for x," then your first move should be to add 4 to both sides. Associative property
Which of the following statements about multicollinearity is true?
a. Multicollinearity occurs when two or more independent variables are highly correlated
b. Multicollinearity is usually not an issue when the regression model is only being used for forecasting
c. Multicollinearity is usually not an issue when the regression model is only being used to understand net relationships
d. Multicollinearity can typically be reduced by decreasing the sample size
e. Multicollinearity can typically be reduced by adding more independent variables
Answer: a. Multicollinearity occurs when two or more independent variables are highly correlated.
Step-by-step explanation:
Multicollinearity usuall occurs when an independent variables in a regression model is correlated. This correlation is a problem which occurs because independent variables should be independent. If the degree of correlation between variables is high enough, it would cause problems when you fit the models or try to interpret the results.
According to the statement of multicollinearity, option b is the correct answer it occurs when two or more independent variables are highly correlated.
What is Multicollinearity?Multicollinearity refers to the occurrence of two or more independent variables which are highly correlated with one another in a regression model.
The statement means that in a regression model, independent variables can be predicted from another independent variable.
For example,
Weight and height.Water consumption and household income.Multicollinearity can also occur when new dependent variables are created which are dependent on others.
It can be an issue when the regression model is only being used to understand the relationship. It is unable to distinguish between the separate effect of an independent variable on the dependent one.
So, option a is correct in that is multicollinearity occurs when two or more independent variables are highly correlated.
Learn more about multicollinearity here:
https://brainly.com/question/15407011
Find the next 3 terms A,K,Q,J,10
Answer:
9, 8, 7
Step-by-step explanation:
This is the rank of the cards from highest to lowest and the terms are:
A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2So the next 3 terms are 9, 8, 7
1 mile is equivalent to _ a0 kilometers ( round to the nearest hundredth )
Answer:
1 mile =1.609 kilometers
Step-by-step explanation:
from the sum of 2 and -11, subtract the sum of 2 and -6
Answer: -5
Step-by-step explanation: 2 + -11 = -9 and subtract -4 from it since it’s the sum of 2 + -6. -9 - -4 is -9 + 4 so -5
Answer:
-5
Step-by-step explanation:
2+-11=-9
2+-6=-4
-9- -4=-5
What is the answer to number 4, Also what is the process of solving it?? Thanks
Answer:
44.8
Step-by-step explanation:
It’s a ratio. You can compare similar sides to find x. You could use either 10 and 28, or 22 and 38.5.
10/28=16/x
Cross multiply.
10x=28*16
10x=448
x=44.8
Answer:
Well Judging By Your Picture You Multiply Length by width by Height
Step-by-step explanation:
Pls help me !!! Thank you
Answer:
First: Subtract each side to get y-b=mx
Secound:divide each side by x to get y-b/x=m
Third:we divide both sides b x to get m by itself.
(y-b)/x=(mx)/x
(y-b)/x= m
Therefore m is equal to(y-b)/x
4. The Vetrone family members are all Cincinnati Reds baseball fans. They went
to five games last season. The cost of each game, including parking, tickets,
and food, is listed below.
$266, $201, $197, $188, $162
Round your answers to the nearest cent.
a. What is the mean cost per game attended?
b. What is the range?
c. What is the variance?
d. What is the standard deviation?
e. If all five members of the Vetrone family went to each
game,
what was the
mean cost per person to attend each game?
Answer:
A) Mean cost per game= $202.8
B). Range= $104
C). Variance= 1182.96
D).Standard deviation=34.39
E). $1014 per person
Step-by-step explanation:
The data of the cost
= $266, $201, $197, $188, $162
A). Mean cost per game
Mean = (266+201+197+188+162)/5
Mean = 1014/5
Mean = 202.8
Mean cost per game= $202.8
B) range = highest value- Lowest value
Range= 266-162
Range= $104
C) variance= ((266-202.8)²+(201-202.8)²+(197-202.8)²+(188-202.8)²+(162-202.8)²)/5
Variance=(3994.24+3.24+33.64+219.04+1664.64)/5
Variance= 5194.8/5
Variance= 1182.96
D). Standard deviation= √variance
Standard deviation= √1182.96
Standard deviation=34.39
E).Mean cost per person
= Mean *5
= 202.8 *5
= $1014 per person
Duval went to bat 80 times
Answer:
Duval got a hit 30% of the time during the season. The total number of hits was 24. 24/80 is 0.30. Multiply by 100 to obtain the percentage. 0.30*100 = 30%.
Step-by-step explanation:
Mark of the student in a certain test is as follows 3, 1, 3, 1, 1, 2, 3, 2, 3, 5, 3, 4, 5, 3, 1, 4, 1, 5, 2, 5 . what is the mean to 1 s.f.?
Answer:
2.85
Step-by-step explanation:
count the numbers given to you , which is 20then sum up the numbers , which is 57then divide the two answerswhich is 57/20=2.85i need help w this question
Answer:
360 degrees
Step-by-step explanation:
Remember that triangles have a sum of 180 degrees, and that quadrilaterals have 360 degrees.
You can either use that part, or actually solve for it.
The equation for the sum of the interior angles is:
[tex]sum=180(n-2)[/tex] [which "n" is the number of sides]
So, if we add in the number of sides to the equation, it changes to:
[tex]180(4-2)=180(2)[/tex], which equals to 360 degrees.
Assume that the heights of bookcases are normally distributed. A random sample of 16 bookcases in one company have a mean height of 67.5 inches and a standard deviation of 2.1 inches. Construct a 99% confidence interval for the population standard deviation, σ.
Answer:
The Confidence Interval = (66.1476, 68.8524)
Step-by-step explanation:
The formula for confidence interval of a normal distribution is given as:
Confidence Interval = μ ± z × σ/√n
Where:
μ is the mean height = 67.5
σ is the standard deviation = 2.1 inches
n is the number of samples = 16 bookcases
z = 99% confidence interval = 2.576
Confidence Interval = 67.5 ± 2.576 ×2.1√16
= 67.5 ± 2.576 × 2.1/4
Confidence Interval = 67.5 ± 1.3524
67.5 - 1.3524 = 68.8524
67.5 + 1.3524 = 66.1476
Therefore, the Confidence Interval = (66.1476, 68.8524)
PLEASE HEEEELP MEEE ;(
(Theres other problem in a picture)
Write an equation that could be used to determine the missing value in each statement
a. Twice a number plus five is thirty.
b. Eight less than a third of a number is the sumlof that number and one.
C. Three is twenty-one, divided by the sum of a number and five
d. Five less than three times a number is forty-six
Answer:
Hey there!
a. 2x+5=30
b. 1/3x-8=x+1
c. 3=21/(x+5)
d. 3x-5=46
For the picture
a. y=7x+60
b. y=5x+120
c. 7x+60=5x+120
Let me know if this helps :)
Need to zoom in can any find these two out for me?
Answer:
9. Juanita's recipe.
10. Leon's recipe.
Step-by-step explanation:
9. All you need to do is convert the numbers into fractions.
Juanita's recipe: 4 parts lemon, 2 parts sugar. Lydia's recipe: 5 parts lemon and 3 parts sugar. So in order to find the lemon amount in each recipe convert into this fraction:
lemon/sugar
Juanita: lemon/sugar= 4 lemon/2 sugar
Lydia: lemon/sugar= 5 lemon/3 sugar
The LCM is 6 so that is the denominator.
Juanita: 4 lemon/2 sugar= 12 lemon/6 sugar
Lydia: 5 lemon/3 sugar= 10 lemon/6 sugar
The ratio is 4:2= ?:6 and 5:3= ?:6
Juanita has 12 lemon and Lydia has 10, so Juanita has more lemons.
10. Same as number 9.
Use the fraction peanuts/pretzels because it wouldn't work if peanuts is on the bottom otherwise both Leon and Cisco's peanut amount will be the same. SO put peanuts over pretzels, so pretzels will be the denominator so we can find the peanut amount.
peanuts/pretzels
Leon: peanuts/pretzels= 3 peanuts/8 pretzels
Cisco: peanuts/pretzels= 2 peanuts/6 pretzels
The LCM is 24 so that is the denominator.
Leon: 3 peanuts/8 pretzels= 9 peanuts/24 pretzels
Cisco: 2 peanuts/6 pretzels= 8 peanuts/24 pretzels
The ratio is 3:8= ?:24 and 2:6= ?:24
Leon has 9 peanuts and Cisco has 8, so Leon has more peanuts.
Two balls is selected at random from the bag contains 2 white, 5 black and 7 green balls. What is the probability that it is a (i) white ball (ii) at least one green ball.
Please help! Please explain as well!
Answer:
x=10 84 cm
Step-by-step explanation:
We know that a square has 4 sides, and each side length is (2x+1). So we need to distribute the 4.
4(2x+1)
8×+4 is the perimeter for the square.
A triangle has 3 sides, and each side length is (3x-2). So we need to distrbute the 3.
3(3x-2)
9x-6 is the perimeter of the triangle.
We know that these perimeters are equal to each other. Then we just solve for x.
8x+4=9x-6
10=x
Plug 10 into the square equation.
8(10)+4
84 cm
Answer:
x = 10
Square perimeter = 84cm
Triangle perimeter = 84cm
Step-by-step explanation:
Hello!
First, we make an equation to find the perimeter of each shape
For a square we multiple one side by 4
(2x + 1) * 4
Simplify
8x + 4
An equilateral triangle means each side is equal so we can multiply one side by 3
(3x - 2) * 3
Simplify
9x - 6
The problem states they are equal to each other so we can show that
8x + 4 = 9x - 6
Now we can solve for x
Subtract 8x from both sides
4 = x - 6
Add 6 to both sides
10 = x
Now we can put x into our original equations for the perimeters
Square
8(10) + 4
80 + 4
84cm
Triangle
9(10) - 6
90 - 6
84cm
Hope this Helps!