Using the t-distribution, the upper bound of the 95 percent confidence interval for the gift baskets average shipping weight is of 69.06 ounces.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem, the parameters are:
[tex]\voerline{x} = 66, t = 2.0154, s = 10.2, n = 45[/tex]
Hence the upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 66 + 2.0154\frac{10.2}{\sqrt{45}} = 69.06[/tex]
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HELP HELP HELP HELP
HELP HELP HELP HELP
Answer:
Vertex - (2, -1)
Axis of Symmetry - x = 2
X intercept - (3,0) (1, 0)
Y intercept (0, 3)
Domain - (negative infinity, positive infinity)
Range - [-1, infinity)
Step-by-step explanation:
I graphed with desmos and found it.
NEED HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
A
Step-by-step explanation:
The function has vertical asymptotes at x=7 and x=-3, so the denominator needs to have factors (x-7) and (x+3).
This eliminates all the options except for A.
In which number is the value of the underlined digit ten times the value of the bold digit
Step-by-step explanation:
I don't see any numbers, so I just give you an example :
11
every position in a number is worth 10 times the value of the position to its very right.
so, in e.g. 11
the left 1 is worth 10 times the value of the right 1.
Can someone help please
Answer:
x=7 y=3
Step-by-step explanation:
-x+6y=11
2x-3y=5
-2x+12y=22
2x-3y=5
Add both equations
-2x+2x-3y+12=22+5
9y=27
y=3
plug y back in
-x+18=11
-x=-7
x=7
Which best explains why the rotation represents an
isometric transformation?
the angle at point d remained a right angle.
the rectangle did not change shape or size..
point c remained the center of the rectangle.
point c did not remain the center of the rectangle.
The best explanation for why the rotation is isometric is "The rectangle did not change shape or size". Hence the second option is the right choice.
There are four main categories of transformations:
Translation (figure slides in any direction)Reflection (figure flips over a line)Rotation (figure turns about a fixed point)Dilation (the figure is enlarged or reduced)A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.
The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.
The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.
Thus, the best explanation for why the rotation is isometric is "The rectangle did not change shape or size". Hence the second option is the right choice.
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The provided question is incomplete. For the complete question, refer to the attachment.
Find the sum.
14 + 42 + 70 + ... + (28n − 14)
Answer:
14n^2.
Step-by-step explanation:
This is Arithmetic with first term a = 14 and common difference d = 28.
Sum of n terms = n/2[2a + (n-1)d]
= n/2(28 +( n -1)28]
= n/2(28 + 28n - 28)
= 14n^2
Answer:
14n²
Step-by-step explanation:
14 = 14 *1
42 = 14 *3
70 = 14 *5
28n -14 = 14*2n - 14 = 14*(2n -1)
14 + 42 + 70 + ........+(28n -14) = 14*1 + 14*3 + 14*5 + ....... + 14*(2n - 1)
= 14 * (1 + 3 + 5 + ......+ (2n-1) )
= 14 * n²
= 14n²
1 + 3 + 5 + .... +(2n -1) -> sum of first 'n' odd numbers.
Formula for finding sum of first 'n' odd numbers = n²
Select the output of this algorithm
START
SET n = 4
SET d = 1
SET sum = 0
WHILE d < = n
IF n/d is integer THEN
sum = sum + d
ELSE
sum = sum + 0
END IF
d = d+1
END WHILE
OUTPUT sum
END
Answer:
bvjh
Step-by-step explanation:
bn
How would I do these questions?
A parabola has x- ints of -1 and 2 and passes through (4,10). Find its equation.
A parabola has x-ints of -2 and 3 and y int of -3. Find its equation.
A parabola has x-ints of 1/2 and 2 and passes through the point (1,3). Find its equation.
Any help will be greatly appreciated. I don't know the format of writing it out, so try to explain it easily so I can understand it. Thank you!
Answer:
Step-by-step explanation:
hello :
1)
the equation is : f(x)= a(x+1)(x-2) because : x- ints of -1 and 2 means :
f(-1)=0 and f(2)=0
calculate : a given f(4)=10
so : a(4+1)(4-2)=10
10a =10 so : a = 1
the equation is : f(x)= (x+1)(x-2)
2) and 3) same method but * y int of -3* meanes : f(0)= - 3
Find each difference and show work please !!
Answer:
X-19
Step-by-step explanation:
First you need to distribute the three into the numbers in the parenthesis,
(3 * x) + (3 * -5) - (2x + 4)
That then turns into,
3x - 15 - (2x + 4)
but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)
3x - 15 + (-1 * 2x) + (-1 * 4)
that turns into,
3x - 15 - 2x -4
from here all we have to do is add like terms,
(3x - 2x) + (-15 + -4)
and that leaves us with: 1x -19 or x-19
Hope that helped :))
What part of this question is an hour
the value of dimes in a vending machine is $1.70 more than what it contains in quarters.if there are 199 coins in all how many dimes and quarters are there
Using a system of equations, it is found that there are 147 dimes and 52 quarters in the machine.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of dimes.Variable y: Number of quarters.There are 199 coins, hence:
x + y = 199 -> y = 199 - x.
The value of dimes(each is worth $0.1) is $1.7 more than the sum of the quarters(each is worth $0.25), hence:
0.1x - 0.25y = 1.7.
Since y = 199 - x:
0.1x - 0.25(199 - x) = 1.7.
0.35x = 51.45
x = 51.45/0.35
x = 147
y = 199 - 147 = 52
There are 147 dimes and 52 quarters in the machine.
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Mrs. Pollo was making pizza. She used 3/8 of a cup of olives to make 1 pizza. At this rate, what amount of olives would she use on 1/2 of a pizza?
PLS HELPPP!!!! Look at pic
The correct option regarding whether the equation x² = y² is a function is:
No, since if you solve the equation for x, then [tex]x = \pm y[/tex]
What is needed for a relation to represent a function?In a function, each value of x can be associated with only one value of y.
In this problem, the equation is:
[tex]x^2 = y^2[/tex]
Then:
[tex]x = \pm \sqrt{y^2}[/tex]
[tex]x = \pm \sqrt{y}[/tex]
x is associated with two values, [tex]-\sqrt{y}[/tex] and [tex]\sqrt{y}[/tex], hence it is not a function.
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When the decision maker must consider several possible outcomes for each alternative, each with a given probability of occurrence, this is decision making under a. uncertainty. b. risk. c. duress. d. certainty.
This is considered as decision making under risk.
Decision Making Under Risk
A circumstance in which the implications of the chosen course of action and the likelihood that it will occur are understood is referred to as decision-making under risk . For instance, the lottery selection tasks are frequently employed to examine the nature of decision-making in risky situations.
We make the assumption that there are two or more choices and that each alternative's characteristics are explicitly specified. For each attribute, the CV (coefficient of variation) is configured in case of such decision under risks. And, since in the given question, decision maker is supposed to consider several possible outcomes for each alternative, each with a given probability of occurrence. Thus the decision made will be decision under risk.
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8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: (f + g)(x)[/tex]
[tex]\qquad \sf \dashrightarrow \: f(x) + g(x)[/tex]
[tex]\qquad \sf \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: 7 {x}^{2} + x - 4[/tex]
If the rr is equal to 25%, what is the value of the money multiplier (simple deposit multiplier)? if $35,000 in cash is taken from under your mattress and deposited into a bank, predict the impact on the money supply in the economy.
The money supply in the economy is $1025302.6
Bank loans or invests its excess reserves to earn greater hobby. A one-dollar boom inside the financial base reasons the money deliver to boom through more than one dollar. The growth inside the money supply is the cash multiplier.
The money multiplier is the primary can used to calculate what a change in reserves could do to the money supply. The method for the cash multiplier is 1/r where r is the reserve ratio. once one has calculated the money multiplier, they might then multiply that through the exchange in reserves.
The money multiplier is critical in macroeconomics because it determines the cash supply, which affects interest charges. it is also critical in banking because it impacts economic coverage and the steadiness of the banking region.
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Sean tried to drink as fast as he could. He drank the slushy at a constant rate. There were originally 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained. (Please help and explain.)
How fast did Sean drink?
How long did it take Sean to drink all the slushy?
a. Sean drank at a rate of 5 milliliters per second.
b. It took Sean 55 s to drink all the slushy.
a. How to find the rate at which Sean drank?Since Sean darnak at a constant rate and originally there were 275 milliliters of slushy in the cup. After 13 seconds, 210 milliliters of slushy remained.
The rate at which Sean drank, r = Change in volume of slushy/time for change
= (275 mL - 210 mL)/13 s
= 65 mL/13 s
= 5 mL/s
So, Sean drank at a rate of 5 milliliters per second.
b. How long did it take Sean to drink all the slushy?The time it takes Sean to drink all the slushy is given by
T = V/r where
V = total volume of slushy = 275 milliliters and r = rate of drinking by Sean = 5 mL/sSo, T = V/r
= 275 mL/5 mL/s
= 55 s
So, it took Sean 55 s to drink all the slushy.
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Use the pythagorean theorem to prove that this point lies on the unit circle. Find csc(0) where 0=-120.
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
How to prove this point lies on the unit circle?In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
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5. A fair coin is flipped 10 times. (a) What is the probability that there are an equal number of heads and tails
Answer:
you have a 50/50 chance to get equal number of heads & tails
Match each polynomial with its correct, most specific classification.
3x^2yz
2x^2+3xy-6y^2
3pq^2-3p
2xy+3x^2-2y^2-4x^2
The polynomials are classified as follows:
3x²yz: Monomial.2x² + 3xy - 6y²: Trinomial.3pq² - 3p: Binomial.2xy + 3x² - 2y² - 4x²: Polynomial.How are the polynomials classified?Depends on the number of terms, as follows:
3x²yz: Monomial, as it has one term.2x² + 3xy - 6y²: Trinomial, as it has three terms.3pq² - 3p: Binomial, as it has two terms.2xy + 3x² - 2y² - 4x²: Polynomial, as it has four terms.More can be learned about polynomials at https://brainly.com/question/24662212
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Olga has a drawer of socks with four red pears, two gray pears, and a black hairs. she also has a bag of hair bands with 10 red, six gray, and 24 black hair bands if she selects randomly what is the probability that olga will select a red pair of socks and a red hairband
The probability that olga will select a red pair of socks and a red hairband is 14/47
Probability defines the likelihood of an event occurring. There are many situations in real life where we may need to predict the outcome of an event. We may or may not be certain of the outcome of the event. In such cases, we say that there is a probability that the event will or will not occur. Probability in general has great applications in games, in business for probabilistic predictions, and also probability has extensive applications in this new field of artificial intelligence.
The probability of an event can be calculated using the probability formula simply by dividing the number of favorable outcomes by the total number of possible outcomes. The value of the probability of an event occurring can lie between 0 and 1 because the number of favorable outcomes can never exceed the total number of outcomes. Also, a favorable number of results cannot be negative
For an experiment that has "n" number of outcomes, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (event) = favorable outcomes/total outcomes = x/n
Olga has a drawer of socks with four red pears, two gray pears, and a black hairs. she also has a bag of hair bands with 10 red, six gray, and 24 black hair bands
Therefore total number of items are = 4 + 2 + 1 + 10 + 6 + 24 = 47
Probability that olga will select a red pair of socks and a red hairband is 4/47 + 10/47
= 14/47
Hence the probability that olga will select a red pair of socks and a red hairband is 14/47
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the force, F newtons (N) between two particles is inversely proportional to the square of the distance, d m, between them. When the particles are 2m apart,
the force between them is 10 N. Find
1- the force between the particles when they are 5m apart,
2- the distance between the particles when the force between them is 25 N.
The force is 1.6N and the distance between them is 1.3 meters
The force between themAn inverse variation from force to the square of distance is represented s:
k = Fd^2
Where k represents the variation constant
When F = 10, d = 2.
So, we have:
k = 10 * 2^2
k = 40
Substitute k = 40 in k = Fd^2
Fd^2 = 40
When d = 5, we have:
F * 5^2 = 40
This gives
25F = 40
Divide by 25
F = 1.6
Hence, the force is 1.6N
The distance between themIn (a), we have:
Fd^2 = 40
When F = 25, we have:
25 * d^2 = 40
This gives
25d^2 = 40
Divide by 25
d^2 = 1.6
Take the square root of both sides
d = 1.3
Hence, the distance between them is 1.3 meters
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Mr. Mendez awards extra credit on quizzes to his students with quiz grades that exceed the class mean. Given that 107 students take the same quiz, what is the largest number of students who can be awarded extra credit
Answer:
106
Step-by-step explanation:
If 1 student gets a 1, and 106 get a 100, then the mean will be 99.99, and 106 students will get the extra credit.
first sequence: 3 8 13 18 23 second sequence: -2 4 10 16 . find the TWO numbers that are in both number sequences.
[tex]a(n) = 3 + 5n[/tex]
[tex]b(n) = - 2 + 6n[/tex]
[tex]a(n) = b(n) \\ 3 + 5n = - 2 + 6n \\ 5 = n \\ n = 5 \: (6th \: term)[/tex]
[tex]a(5) \: or \: b(5) = 3 + 5(5) = 28[/tex]
how many bit strings of length 9 have exactly two 1'S or two 0'S( this is one question, so you should have one answer)
Answer:
72.
Step-by-step explanation:
Number of strings with exactly 2 1's
= 9C2
= 9*8/2*1
= 36.
Same for 2 0s
= 36.
Find the arc length if the measure of the central angle is 80° and the radius
is 8 inches.
Answer:
[tex]\frac{32\pi }{9}[/tex] or [tex]11.17[/tex]
Step-by-step explanation:
The formula for arc length is [tex]2\pi r( \frac{x}{360} )[/tex] where "r" stands for radius and "x" stands for your angle[tex]2\pi 8(\frac{80}{360} )[/tex]
[tex]=16\pi (\frac{80}{360} )[/tex]
[tex]=16\pi (\frac{2}{9})[/tex]
[tex]=\frac{32\pi }{9}[/tex]
the ratio of peters money to henrys money is 4 : 3 there at first. after perter spent 12 dollars they had an equal amount of money each. How much money id peter have at first
Using a system of equations, it is found that Peter had $48 at first.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Peter's money.Variable y: Henry's money.The ratio of peters money to henrys money is 4 : 3, hence:
[tex]\frac{x}{y} = \frac{4}{3}[/tex]
After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:
[tex]\frac{x}{y} = \frac{4}{3}[/tex]
[tex]\frac{x}{x - 12} = \frac{4}{3}[/tex]
4(x - 12) = 3x
x = 48.
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An example of a qualitative variable is Multiple Choice number of children in a family. weight of a person. color of ink in a pen. miles between oil changes.
Due to its subject-specific classification, ink color in pens is a qualitative variable.
What is a Qualitative variable?The factors that cannot be measured with a numerical value are known as qualitative variables. In order to define anything, these quantities are not quantified or tallied; instead, data is categorized.There is no numerical way to express it.Quantitative variableThe other choices are erroneous because the variables that are numerically specified in the other choices—an individual's weight, the number of children, and the number of miles—are these.Therefore, all of those are quantitative variables.Consequently, option (C) is the appropriate choice.
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HELP‼️‼️‼️‼️‼️‼️
1. If 8x + 4y = 44, what is the value of 6x + 3y?
Answer:
33.
Step-by-step explanation:
8x + 4y = 44
4(2x + y) = 44
2x + y = 44/4 = 11.
6x + 3y
= 3(2x + y)
= 3 * 11
= 33.
PLEASE HELP
place the figure in a coordinate plane and find the indicated length a square with side length n; Find the length of the diagonal
Thanks
For the square with side length n, the diagonal measures:
[tex]d = \sqrt{2} *n[/tex]
How to get the length of the diagonal?The sidelength of the square is n, and we want to get the length of the diagonal d.
Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.
Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;
[tex]d^2 = n^2 + n^2\\\\d^2 = 2n^2\\\\d = \sqrt{2n^2} \\\\d = \sqrt{2}*n[/tex]
That is the length of the diagonal.
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