Answers
The answer to your questions is x8/15. Hope this helps!
Related Questions
You intend to estimate a population mean mu with the following sample. 45.3, 42.3, 53, 49, 15.2, 52.3, 45.6, 39.6, 39.4, 16.1, 54.4.You believe the population is normally distributed. Find the 99.9% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places (because the sample data are reported accurate to one decimal place).
Answers
Answer:
A 99.9% confidence interval for the population mean is [22.31, 59.91] .
Step-by-step explanation:
We are given the following sample values;
X = 45.3, 42.3, 53, 49, 15.2, 52.3, 45.6, 39.6, 39.4, 16.1, 54.4.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = 41.11
s = sample standard deviation = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex] = 13.59
n = sample size = 11
Here for constructing a 99.9% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.
So, 99.9% confidence interval for the population mean, [tex]\mu[/tex] is;
P(-4.587 < [tex]t_1_0[/tex] < 4.587) = 0.999 {As the critical value of t at 10 degrees of
freedom are -4.587 & 4.587 with P = 0.05%}
P(-4.587 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 4.587) = 0.999
P( [tex]-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}{[/tex] < [tex]4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.999
P( [tex]\bar X-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.999
99.9% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-4.587 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+4.587 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]41.11-4.587 \times {\frac{13.59}{\sqrt{11} } }[/tex] , [tex]41.11+4.587 \times {\frac{13.59}{\sqrt{11} } }[/tex] ]
= [22.31, 59.91]
Therefore, a 99.9% confidence interval for the population mean is [22.31, 59.91] .
Noah is shopping for new socks. He sees many different options. one bag has 12 socks for $9.99, another bag has 20 socks for $14.99, and the third bag with 10 socks for $19.99. which is the best deal for socks?
Answers
Answer:
20 socks fit $14.99 is the best deal out of the 3
Step-by-step explanation:
Here, we want to know the bag that contain the best deals for socks .
The best way to go about this is to know the unit prices of socks in each of the bags.
Let’s proceed;
12 socks for $9.99
The unit price here is 9.99/12 = 0.8325 per socks
20 socks for 14.99
Unit price here is 14.99/20 = 0.7495
10 socks for 19.99
The unit price here is 19.99/10 = 1.999
Out of all these options , we can see that the second option is actually the cheapest and offers what we should be pick as we are looking for suppliers since it charges the lowest;
So the best deal for socks is in the bag of 20 socks for $19.99
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. Suppose that P(A) = 0.6 and P(B) = 0.4.
a. Could it be the case that P(A ∩ B) = 0.5? Why or why not?
b. From now on, suppose that P(A ∩ B) = 0.3. What is the probability that the selected student has at least one of these two types of cards?
c. What is the probability that the selected student has neither type of card?
d. Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard, and then calculate the probability of this event.
e. Calculate the probability that the selected student has exactly one of these two types of cards
Answers
Answer:
A)P(A ∩ B) cannot be equal to 0.5.
B)P(A ⋃ B) = 0.7
C)P[(A ∪ B)'] = 0.3
D)P(A ∩ B') = 0.3
E)probability that the selected student has exactly one of these two types of cards = 0.4
Step-by-step explanation:
A) We want to find out if P(A ∩ B) = 0.5
Now, this value is not possible because the probability of intersection of two events can not be greater than the probability of each individual event.
We are told that P(A) = 0.6 and P(B) = 0.4.
Due to the fact that the probability of B is less than 0.4 which is less than 0.5, It means that the intersection of A and B can't be greater than 0.4.
Thus, P(A ∩ B) cannot be equal to 0.5.
B) Now, P(A ∩ B) = 0.3
The probability that the selected student has at least one of these two types of cards would be P(A ⋃ B)
Now, this is expressed as;
P(A ⋃ B) = P(A) + P(B) − P(A ∩ B)
Thus,
P(A ⋃ B) = 0.6 + 0.4 - 0.3
P(A ⋃ B) = 0.7
C) Probability that the selected student has neither type of card would be expressed as; P[(A ∪ B) ' ]
Thus is further expressed as;
P[(A ∪ B) ' ] = 1 − P(A ∪ B)
P[(A ∪ B)'] = 1 - 0.7
P[(A ∪ B)'] = 0.3
D) We want to describe in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.
This is simply an intersection of event A and compliment of event B. Thus, it implies that we we will remove the events when student has both types of cards from the events of A. This probability is expressed as P(A ∩ B')
Thus gives;
P(A ∩ B') = P(A) - P(A ∩ B)
P(A ∩ B') = 0.6 - 0.3
P(A ∩ B') = 0.3
E) Now, we want to find the probability that the selected student has exactly one of these two types of cards.
This is simply the addition of intersection of event A with compliment of event B and intersection of event B with compliment of event A . The probability is given by:
P(A ∩ B') + P(A' ∩ B)
Expanding this gives;
P(A ∩ B') + P(B) - P(A ∩ B)
Plugging in the relevant values gives;
0.3 + 0.4 - 0.3 = 0.4
Two consecutive numbers have a sum of 27. What is the smaller number?
Answers
Answer:
13
Step-by-step explanation:
The value halfway between them is their average: 27/2 = 13.5.
The smaller number is 13.
__
The larger number is 14.
Write a cubic binomial with constant -8.
Answers
Answer:
27a³ -8
Step-by-step explanation:
A binomial has two terms. If one of the terms is the constant -8, the other must be a cubic term, something with a variable to the third power.
27a³ -8 . . . . . a cubic binomial with a constant of -8
A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the mean weights for infants of different ages in the study. Plot the data in a scatter plot.
Answers
Answer:
Step-by-step explanation:
Got it correct on Khan Academy
SOLVING QUADRATIC EQUATIONS
2) Solve 2x2 - 5 = 27
Answers
Answer:
x = ±4
Step-by-step explanation:
Step 1: Write out quadratic
2x² - 5 = 27
Step 2: Add 5 to both sides
2x² = 32
Step 3: Divide both sides by 2
x² = 16
Step 4: Take the square root of both sides
x = ±4
∴ x can equal -4 or 4
Answer:
[tex] \boxed{ \bf \huge \: x =4}[/tex]
[tex] \rm \: Or,[/tex]
[tex] \boxed{\bf \huge \: x = - 4}[/tex]
Step by step explanation:
Given Equation is :-
[tex]\sf \implies \: 2 {x}^{2} - 5 = 27[/tex]
We need to find the value of [tex]x[/tex] using Quadric formula.
Firstly, Subtract 27 from both of the side(s):-
[tex]\sf \implies2 {x}^{2} - 5 - 27 = 27 - 27[/tex]
On Simplification:-
Add -5-27 as (-) and (-) equals to (+). -5-27 would be represented as 5+27, which results to 32.
[tex]\sf\sf \implies2 {x}^{2} - 32 = 0[/tex]
Then, for this equation , a=2, b=0, c=-32.
Put the values :-
That is,
[tex]\sf \implies2 {x}^{2} + 0x + ( - 32) = 0[/tex]
As we know, that the quadratic formula is:-
[tex]\sf \implies \: x = \dfrac{ -b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]
Put the values :-
[tex]\sf \implies \: x = \dfrac{ - 0 \pm \sqrt{0 {}^{2} \: - 4(2) ( - 32)} }{2(2)} [/tex]
On Simplification:-
[tex]\sf \implies \: x = \dfrac{ - 0 {}^{} \pm \sqrt{ {0 } - \: 8 \times - 32}}{2 \times 2} [/tex]
[tex]\sf \implies \: x = \dfrac{ - 0 \pm \: \sqrt{ - 8 \times - 32} }{4}[/tex]
[tex]\sf \implies x = \dfrac{ - {0}^{}\pm \: \sqrt{ + 256} }{4} [/tex]
As 0 has no value here,
[tex]\sf \implies \: x = \dfrac{ \pm \sqrt{256} }{4} [/tex]
On cancelling,
Remove the square of 256 ( √256)
[tex]\sf \implies \: x = \dfrac{ \pm \cancel{ \: 256}}{ \cancel4} [/tex]
[tex]\sf \implies \: x = ± + 4[/tex]
It may be represented as,
[tex]\sf \implies \: x = - 4[/tex]
Or,
[tex]\sf \implies \: x = 4[/tex]
_______________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
Billy has some nickels and dimes worth $3.25. He has 3 times as many nickels as dimes. How many nickels does he have?
Answers
[tex]3d=n[/tex]
[tex]10d+5n=325[/tex]
[tex]10d+15d=325[/tex]
[tex]25d=325[/tex]
[tex]d=13[/tex]
[tex]n=39[/tex]
Hope this helps.
頑張って!
The XYZ Car Rental Agency charges a flat rate $29 per day plus $0.32 per mile driven Write and algebraic expression for the rental cost of a car for x days that is driven y miles
Answers
x = number of days
$.32 = per mile driven
y = number of miles
29x + 0.32y
WILL GIVE BRAINLIEST: If the graph of 2x+3y − 6=0 is perpendicular to the graph of ax − 3y=5. What is the value of a?
Answers
Answer:
a = [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
To find the value of a, find the Slope of both the equations.
For lines to be perpendicular to each other [tex]m_{1}m_{2} = - 1[/tex]
For line 1:
2x + 3y − 6 = 0 represent the line in y=mx +c form
3y = -2x + 6
y = [tex]\frac{-2}{3} x[/tex] + [tex]\frac{6}{3}[/tex]
y = [tex]\frac{-2}{3} x[/tex] + 2
[tex]m_{1}[/tex] = [tex]\frac{-2}{3}[/tex]
For line 2:
ax - 3y = 5
ax = 5 + 3y
ax - 5 = 3y
y = [tex]\frac{ax}{3} - \frac{5}{3}[/tex]
[tex]m_{2}[/tex] = [tex]\frac{a}{3}[/tex]
Apply the condition of perpendicularity:
[tex]\frac{-2}{3}[/tex] * [tex]\frac{a}{3}[/tex] = - 1
[tex]\frac{2a}{9} = 1[/tex]
a = [tex]\frac{9}{2}[/tex]
On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
0-7-4=-3
0-7+3=-4
-7 - 3 = -10
-7 +4= -3
Answers
Answer:
-7 + 4 = -3
Step-by-step explanation:
So you start at -7 and if you add a positive number to a negative number you basically subtract from the negative number, so you would do -7 + 4 which equals -3
If CE= 7x+4
x+3 + 8x-9 = 7x+4
Answers
Explanation:
To find the x, you need to start by adding your “like” terms on each side of the equal sign. This means the parts that you can add together. So, on the left side, you would add 3 and -9 together, which will make -6. Then, you would add x and 8x together, which would make 9x. So your left side will look like “9x-6”. There is nothing you can add together on the right side, so now you move on to the second step: combining the terms on both sides. You can do this by knowing that the opposite of subtraction is addition, and it’s the same the other way. Let’s look at our equation now:
9x-6=7x+4
9x and 7x are “like terms” so we can subtract. So now we have:
2x-6=4
We still need to make x be by itself, so now we can move the -6 over to the 4. We add because the opposite of subtraction is addition. So now we have:
2x=10
When a number is next to a missing number, that means they are being multiplied, and the opposite of multiplication is division. So we can divide 10 by 2, which equals five. So, x=5 and we can add that to our other missing number, CE. Replace “x” with “5” and you will see that CE=39.
negative thirty-one less than s is greater than 93
Answers
Answer:
s > 62
Step-by-step explanation:
Write it out: s - (-31) > 93Simplify: s + 31 > 93Subtract 31 from each side, so it now looks like this: s > 62I hope this helps!
The inequality which represents the given statement is given by s > 62.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
The given statement is "negative thirty-one less than s is greater than 93". This statement must be transformed into form of an inequality.
We know that an inequality comes when a number is greater than or less than another number . Here the variable is the unknown number 's'. This meant the expression can be written as :
s - (-31) > 93
Simplifying this inequality we get :
s + 31 > 93
s > 93 - 31
s > 62
Therefore , the inequality which represents the given statement is given by s > 62.
Learn more about inequalities here :
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A domain consists of the values 1, 2, 3, and 2. A range consists of the values 5, 10, 15, and 20. The 1 in the domain corresponds to the 5 in the range, the first 2 in the domain corresponds to the 10 in the range, the 3 in the domain corresponds to the 15 in the range, and the second 2 in the domain corresponds to the 20 in the range. Does this relation represent a function? Explain.(1 point)
It does not represent a function. The domain value of 2 corresponds to two values within the range.
It does not represent a function. Each value in the domain corresponds to exactly one value in the range.
It does represent a function. Each value in the domain corresponds to exactly one value in the range.
It does represent a function. The domain value of 2 corresponds to two values within the range.
Answers
Answer:
It does not represent a function. The domain value of 2 corresponds to two values within the range.
Step-by-step explanation:
Given the function:
Domain : Range
1 => 5
2 => 10
3 => 15
2 => 20
For a relation to be considered a function, every domain value should have exactly 1 range value assigned to it or mapped to it.
In order words, a domain value should not have different range values.
In the relation given, domain value of 2, has more than 1 range value, 10 and 20, assigned to it. It does not have exactly 1 range value.
Therefore, the relation does not represent a function because the domain value of 2 corresponds to two values (10 and 20), within the range.
Answer:
It does not represent a function. The domain value of 2 corresponds to two values within the range.
Step-by-step explanation:
1.81 repeating as a fraction
Answers
Answer: 1 73/90 if the decimal is 1.81 and the one is repeating
If the .81 is repeating then 1 9/11
Step-by-step explanation:
Answer:
20/11
Step-by-step explanation:
let 0.(81) = x
--> 100x = 81.(81)
--> 100x - x = 81.(81) - 0.(81)
--> 99x = 81
--> x = 81/99 = 9/11
1.(81) = 1 + 0.(81) = 1 + x = 1 + 9/11 = 20/11
10 oz for $2.68
What is the price for
1 oz? |
Answers
on a function map, the values for the domain of the function appear on the ______ and the values for the range appear on the _______
Answers
Answer:
domain is x
range is y
Step-by-step explanation:
The values for the domain of the function appear on the x-axis and the values for the range appear on the y-axis.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
The range is the interval where the function f(x) is defined whereas the domain is the input interval of the independent variable (x).
For example f(x) = x²
Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.
Hence "The values for the domain of the function appear on the x-axis and the values for the range appear on the y-axis".
For more details about the range and domain of the function,
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i cant understand any of these if you guys can help that’d be great!
Answers
Answer:
1. -9/20
2. 1 7/12
3. -4 1/3
Step-by-step explanation:
When adding and subtracting fractions with unlike denominators, you must first make them like denominators. To do this we must:
1. Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
2. Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.
3. Then add (or subtract) the fractions, as we wish!
The easiest way to this is by multiplying the denominators. Remember that whatever you do to the bottom, you also do to the top
1. -5/4 +4/5
if we multiply 4 and 5, we get 20. Our denominator will be 20 before we simplify.
our new equation is going to be -25/20 + 16/20. Now we can add these together to get an answer of -9/20. Which is in the simplist form.
One more thing: to make a mixed number an improper fraction, you multiply the whole number by the denominator, and add the numerator.
1X4=4
4+1=5
The improper fraction is 5/4.
To make a Whole number a fraction, multiply the number by the denominator
-5x3=15
The improper is -15/3.
To go from an improper to a mixed, divide the numerator by the denominator. The remainders are going to be the fraction attached.
Can someone help me with my algebra homework and explain how you got it ?
Answers
Answer: D
Step-by-step explanation:
This problem seems to ask for the slope of the line. If not by counting, we can use the slope formula to solve. The formula is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Let's use (1,2) and (2,-1).
[tex]m=\frac{-1-2}{2-1} =\frac{-3}{1}=-3[/tex]
Now, we know that the slope is -3.
We also know that A and C are eliminated because the line is going down, which signifies negative. We would be left with B and D. We know that B is incorrect because the slope would be less steep if B were to be the answer. Therefore, D is the correct answer.
Question 20 of 33
The table below compares the number of lawns Sam mowed with the amount
of money he earned. What is a logical conclusion to make about the amount
Sam would earn for mowing 7 lawns?
Number of lawns mowed
Total money earned
1
$25
3
$75
5
$125
7
?
Answers
Kira owes Mark $5, and Mark owes Kira $7. Which statement means the same thing?
Answers
Answer:
mark owes Kira $2
I think
GUYS I MESSED UP ON THE LAST ONE PLEASE HELP ME AGAIN what algebraic expression represents GK
Answers
Answer:
GK = 9x-5
Step-by-step explanation:
GK = GH +HJ + JK
= (GJ - HJ) + (HJ) + (HK - HJ)
= (4x-3-x) + (x) + (6x-2-x)
= 3x-3 + x + 5x-2
= (3x+5x+x)+(-3-2)
GK = 9x-5
Write <, >, or = between the pair of numbers to form a true statement.
0.848
0.84800
Answers
Even though 0.84800 has two more zeroes at the end, this is still the same number as 0.848.
0.84800 -> 0.848
Therefore, 0.848 = 0.48400
Best of Luck!
What if the perimeter of the table?
Answers
Step-by-step explanation:
13? i forgot all this math XD
If you look closely at those corners u can see those are the quarters of a circle with radius 4.
So now just add the lenghts and the circumference of that circle of radius 4
3+3+3+3+8pi
1. Round 53.2785 to the nearest tenth
Answers
Answer:
53.3
Step-by-step explanation:
One way to do this is to add half a tenth, 0.05, then drop all the digits of the result to the right of the tenths digit.
53.2785 +0.05 = 53.3285
Dropping digits to the right of the tenths place, we have ...
53.3
_____
The effect of this is to increase the tenths digit by 1 if the hundredths digit is 5 or more. That is the usual instruction given for rounding to tenths. (Then drop hundredths and digits to the right.)
In March 1999, Bertrand Piccard and Brian Jones attempted to become the first people
to fly around the world in a hot air balloon. Based on the average sped of 97.8
kilometers per hour, the distance that they traveled in kilometers, d, can be modeled by
d(t) = 97.8t, where t is the time in hours. They traveled a total of 478 hours.
What is the domain of this function?
Answers
Answer:
Distance traveled= 41968.4 km
The domain of the function is t
t(h)= 478
h = hours
Step-by-step explanation:
the distance that they traveled in kilometers, d, can be modeled by
d(t) = 97.8t
where t is the time in hours
They traveled a total of 478 hours.
Distance traveled d(t)
d(t) = 87.8(478)
d(t) = 41968.4
Distance traveled= 41968.4 km
The domain of the function is t
t(h)= 478
My area is calculated by 1/2( base * height), who am I? *
O
square
O triangle
O circle
O sphere
Answers
Answer:
Triangle
Step-by-step explanation:
Basically, you have to multiply the base and the height of the triangle, and then divide it by two.
Answer:
O triangle
Step-by-step explanation:
Triangle area = (base*heigth)/2
1. Which of the following is a true statement? *
To square a number, multiply the number by 2.
The inverse of squaring a number is to divide the number by 2.
To square a number, multiply the number by itself.
O A perfect square is a number whose square root is an even number.
Answers
Answer:
To square a number, multiply the number by itself.
Step-by-step explanation:
Between which two integers is the positive value of the square root of 75?
Answers
Answer:
8 and 7
Step-by-step explanation:
the square root of 75 is approximately 8.66025 or 5√3 in radical form
simplify the following
3³×6-³×2^5
Answers
Answer:
4
Step-by-step explanation:
3³=27
6-³=1/216
2^5=32
27X1/216x32
=4