Answer:
(31.919,42.881)
Step-by-step explanation:
Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.
What is a t-distribution confidence interval?The confidence interval is given by:
[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 sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.The lower bound of the interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]
The upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]
The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
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please help A hologram projection of Leia is 5.5 feet tall. The angle from the ground to the top of the hologram is 25°. How far away from the hologram is the Jedi Trainee?
Answer:
11.7947881
depends now how you wanna round it
Step-by-step explanation:
tan(25)=5.5/x
x=5.5/tan(25)
x=11.7947881
this is how we round it in my school
x≈11.8
I need your help guys ....pls answer it correctly I will mark you as a brainlist ❤️....20 minutes left for me to submit my assignment pls Fast guys
Answer:
If the lines are parallel, then the corresponding angles will be equal. In the given, they are not equal.
Step-by-step explanation:
Answer:
If they were parallel XSA and STC would be equal but as they are not, the lines are not parallel.
Step-by-step explanation:
What is the volume of the figure shown below?
Answer:
31 in
Step-by-step explanation:
Answer:
The volume of the figure shown below is 31 inches
Step-by-step explanation:
Just trust me ;)
Suzanne bought a sweater at the sale price of $35. The original cost of the sweater was $50. What percent represents the discount that Suzanne received when buying the sweater?
Answer:
She got a 30 % discount
Step-by-step explanation:
Take the original price and subtract the new price
50 -35 = 15
Divide by the original price
15/50
.30
Multiply by 100 to get the percent
.30 * 100 % = 30 %
She got a 30 % discount
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answer:
135
Step-by-step explanation:
135+45=180
Let X and Y be the following sets:
X = {10,20,30}
Y = {5, 10, 15, 20}
Which of the following is the set XY?
Answer:
{10;20}
Step-by-step explanation:
X & Y = {10;20}
Inverse of (1,3)(2,4)(6,8)
Answer:
{(3,1),(2,4),(6,8)}
Step-by-step explanation:
Since for inverse of (x,y), it's(y,x)
i.e. the forst term and second term of order pair switch their places
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
How are the acute angles of the right triangle below related? Please don’t answer me with a link
Answer:
An acute angle is an angle whose measure is less than 90∘. That is, in a pair of intersecting non-perpendicular lines, the smaller of the angles are acute. A right angle is an angle whose measure is equal to 90∘. That is the measure of the angles of perpendicular lines.
Step-by-step explanation:
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
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Each pattern below is made of six congruent
squares. Which pattern can be folded into a cube
that has a surface area of 96cm??
Step-by-step explanation:
im not sure have a good day stay safe and get a good grade
Find the area of the figure.
A) 96cm
B) 110cm
C) 120cm
D) 150cm
Answer:
A
Step-by-step explanation:
Answer:
209952=Area
56=Perimeter
Step-by-step explanation:
3*3*2*2*9*9*6*12=Area
3+3+2+2+9+9+6+12=Perimeter
a+4<9
Anyone please?
a < 5
step by step
4 - 4 = 0
9 - 4 = 5
_2. A bacteria population starts at 2,032 and decreases at about 15% per day.
Write a function representing the number of bacteria present each day.
A. $(x) - 2032(0.85)
C. $(x) - 2032(0.85)
B. $(x) - 2032(1.85)
D. f(x) – 2032(0.15)
Answer:
Step-by-step explanation:
The Answer will be D hope this helps ya :)
The function representing the number of bacteria present each day is
[tex]\rm f(t) = 2032(0.85)^{t}[/tex] .
What is a function ?
A function from a set X to a set Y assigns to each element of X exactly one element of Y.
The set X is called the domain of the function and the set Y is called the codomain of the function
A bacteria population starts at 2032 and decrease by 15% everyday.
a function representing the number of bacteria present each day
[tex]\rm f(t) = 2032(1-.15)^{t}[/tex]
[tex]\rm f(t) = 2032(0.85)^{t}[/tex]
Therefore [tex]\rm f(t) = 2032(0.85)^{t}[/tex] is the correct answer .
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Help me please thank you so much
Answer:
32
Step-by-step explanation:
Multiply the base x height
It will be 8 x 4
And if you multiply it, it should equal to 32 so that means...
The volume of the cylinder is 32.
In the figure, m∠4=74° and m∠3=43° . Find m∠1 and m∠2 .
The measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have:
m∠4=74° and m∠3=43°
m∠4 + m∠2 = 180
74 + m∠2 = 180
m∠2 = 106 degree
m∠3 + m∠2 + m∠1 = 180 (sum of angles in triangle is 180 degree)
43 + 106 + m∠1 = 180
m∠1 = 31 degree
Thus, the measure of the angle m∠1 is 31 degree and the measure of the angle m∠2 is 106 degree.
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Point 2 is 106°
Point 1 is 31°
Bit by bit clarification:
every triangle's total angle is 180
first you 180 - 74 = 106 for angle 2
angle 2 you had to use the angle two total then you add it with angle three like this 106 + 43 = 149 then you do 180 - 149 = 31 will give you your angle one
hope it help mark brainliset please
simplify the expression by using the distributive property 3(7y+4)
Answer:
3(7y+4) multiply the inner to 3 so, 21y+12
Hi there!
Let’s distribute 3 by multiplying it by everything inside the parentheses:
3 * 7y = 21
3 * 4 = 12
21y+12 (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
-Sparkle-
James think of a two digit number it is a cube number
Step-by-step explanation:
64 IS A TWO DIGIT NUMBER WHICH IS THE CUBE OF 4.
ALSO, 64 IS A EVEN NO. WHICH IS DIVISIBLE BY 2.
siny dy/dx= cosy(1-xcosy)
pls i need it fast
Answer:
sec y = x+1 + ce x ; c is constant
Hope it helps....
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
10
91x
fix)
-
90
A. k=-3
B. K=-1
C. K=4
D. K=5
20 Points plz help
Adding K shifts the graph up that many units.
The vertex of f(x) is at y = -3
The vertex of g(x) is at y = 1
This as a 4 unit shift upwards.
K = 4
Determine whether the lines x+ 7y= −3 and y = 7x + 25 are parallel, perpendicular, or neither. Justify your answer by showing all the needed work.
Answer:
perpendicular
Step-by-step explanation:
Rewrite the equations
y = (-1/7)x - 3/7 -- L1
y = 7x + 25 -- L2
Slope of L1 x Slope of L2 = -1/7 x 7 = -1
As a result, the two lines are perpendicular
Plss this is timed will mark brain least if shown work!
Answer:
good
Step-by-step explanation:frog
Select the measures that are equal to 3 gallons. Mark all that apply.
6 quarts
12 quarts
6 pints
12 pints
24 pints
20 cups
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 galllon = 8 pints
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 gallon = 8 pints
A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?
The number of years before the new car becomes $5700 is 11.4 years.
How long would it take the value of the car to become $5700?Depreciation is when the value of an asset declines with the passage of time.
Number of years = (In FV / PV) / r
r = rate of depreciation FV = future value of the carPV = purchase value of the car(IN 5700 / 20,000) / 0.11 = 11.4 years
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using the table find the value of y when x=2
Answer:
y = 8 when x = 2
Step-by-step explanation:
y = 4x
A net force acting on a 5.0 kg box produces an acceleration of 4.2 m/s2. What
acceleration will the same net force cause on a 2.8 kg box?
Answer:
14 N
Step-by-step explanation:
Let the mass of the box be m.
F = ma → F = 5 x 4.2 = 21 N
When mass = 2.8 kg, let the acceleration is a. For same force:
=> 21 = a x 2.8
=> 21/2.8 = a
=> 7.5 m/s² = a
Answer:
7.5M/s^2
Step-by-step explanation:
7÷0.1
=_______÷_______
1 Whole, 7 tenths, 1 tenth, or 7 wholes
Dose anybody know or can help please.
Answer:
7 wholes / 1 tenth
Step-by-step explanation:
oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?
Answer:
5 hours
Step-by-step explanation:
sam originally paid $18 hours but then had to pay 9 every 1 hour
18+9/1=?
sam paid 63 $ in total so
63-18= 45
45/9=5
I need help please help
Answer:
76.93 ft^2
Step-by-step explanation:
it equals the whole circle's are divided by 2
which inequality represents the sum
of x and y is at most 15?
a.)x-y_>15
b.)x-y_<15
c.)x-y>15
d.)x-y<15
Answer:
x+y≤15
Step-by-step explanation:
We need to write an inequality that represents the sum of x and y is at most 15. At most in inequality is defined as less than or equal to i.e. ≤.
Sum of x and y means x+y
The inequality becomes,
x+y≤15
Hence, the correct option is (b).
The inequality which represents the sum of x and y is at most 15 is; Choice (b) x+y_<15
According to question;
We are required to determine the inequality that represents the sum of x and y is at most 15.In essence, the sum of x and y is either equal to or lesser than 15.
Therefore, the inequality is Choice B; x+y_<15
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