Using the t-distribution, as we have the standard deviation for the sample, it is found that the 99% confidence interval for the true mean number of visitors on summer days is given by:
c. 92.664 to 103.940 visitors
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.The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 30 - 1 = 29 df, is t = 2.756.
The other parameters are given as follows:
[tex]\overline{x} = 98.3, s = 11.2, n = 30[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 98.3 - 2.756\frac{11.2}{\sqrt{30}} = 92.664[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 98.3 + 2.756\frac{11.2}{\sqrt{30}} = 103.94[/tex]
Hence option c is correct.
More can be learned about the t-distribution at https://brainly.com/question/16162795
Triangle PQR is shown, what is the value of x?
Answer:X = 13
Step-by-step explanation:
An exterior angle is equal to the sum of the two opposite interior angle
⇒95=4x+3 + 3x+ 1
95=4x + 3x + 3 + 1
95=7x + 4
95-4=7x
91=7x
91/7=x
13=x
This implies that X= 13
A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 What is (are) the critical value(s) for z in this study? –1. 65 and 1. 65 –1. 96 and 1. 96 1. 65 1. 96.
The Critical z-values are -1.96 and 1.96 option second is correct.
It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.
It is required to find the critical z-values.
What is the critical value of Z?It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.
We are assuming the data given below:
x = 3.5
[tex]\mu =3.3[/tex]
[tex]\sigma = 0.6[/tex]
n = 40
We know the formula for the Z score:
[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]
Z = 2.10
The area under the normal distribution curve:
P(Z= 2.10) = 0.9821 ( from the z table)
We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.
H1: There is a significant difference in levels of job satisfaction.
The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.
The critical z-values are:
-1.96 and 1.96 (from the critical value calculator at a 5% significance level with two-tailed)
Thus, the Critical z-values are -1.96 and 1.96 option second is correct.
Learn more about the critical value here:
https://brainly.com/question/13686040
Help me Please?
I will give brainliest to the first one that answers
This is my algebra 1 and i dont understand it
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
(Pls Help ASAP) (If you don't know don't Answer)
Answer:
Step-by-step explanation:
4x + y = 8
x + 3y = 8
[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]
So, this system of equations is consistent and independent.
-4x + 6y = -2
2x - 3y = 1
[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]
So, the system of linear equations are consistent and dependent.
5x -2y = 4
5x - 2y = 6
[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]
This system of equations is inconsistent.
What is the area of H?
How many pieces of wood will be brought to complete the project?
Answer:
250
Step-by-step explanation:
Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5
a + b =c a + b + c = 36 given that a and b have the same value what is a,b and c
Answer:
a = 9 b = 9 c = 18
Step-by-step explanation:
a+b = c
a+ b + c = 36 but we know a+b = c sub that in
c + c = 36
c = 18 now a + b = c and a and b are the same
so a and b are = 9
Answer:
a is 9
b is 9
c is 18
Step-by-step explanation:
Let's list the information provided
a + b =c
a + b + c = 36
a=b
Knowing that a=b we can replace b with a in the equations
a+a is the same as 2a since a is being doubled
2a=c
Knowing this we can replace c with 2a
2a+2a=36
Now solve for a
[tex]2a+2a=36\\4a=36\\\frac{4a}{4} =\frac{36}{4} \\a=9[/tex]
Now let's sub this value of a into the equations to see what the other values are
a=b
9=b
2a=c
2(9)=c
18=c
What are the missing operations?
A. 48 ? (-8) = (-6)
B. (-40) ? 8 =( -5)
C. 12 ? (-2) = 14
D. 18 ? (-12) = 6
E. 18 ? (-20) = -2
F. 22 ? (-0.5) = -11
48 / -8 = -6
-40 / 8 = -5
12 - (-2) = 14
18 - (-12) = 6
18 - (-20) = -2
22 x (-0.5) = 11
3/5 of an apple tree are ripe what PERCENT of the tree is NOT ripe?
Answer:
40 percent
Step-by-step explanation:
100 / 5 = 20
⅕ = 20 percent
⅗ = 60 percent
100 - 60 = 40
Jessica is going to paint her
patio. It is made up
of two
rectangles. One measures
7ft. x 4 ft. x 5ft. and the other
measures 10ft. x 8ft. x 6ft.
What is the total area of her
patio?
Answer:
514 square feet
Step-by-step explanation:
2(7×4+4×5+5×7)+2(10×8+8×6+10×6)
=2*83 +2*188
=166+376
=542 square feet
7*4=28
542-28=514 square feet
Answer:
640ft
Step-by-step explanation:
7ft×4ft×5ft = 160
10ft×8ft×6ft=480
Add them together
480+160=640 so the answer is 640ft
Anyone know what (2×10⁵) ÷ (4×10²) is?
Answer:
50²
Step-by-step explanation:
(2×10⁵) ÷ (4×10²)
2 × 100000 ÷ 4 × 100
200000 ÷ 400
= 500
= 50²
whats 1+1 first answer i will vote brainlyest
Answer:
2
Step-by-step explanation:
Yessir
A small company has $8,250,000 in (annual) revenue, spends 49% of its revenues on purchases, and has a net profit margin of 8. 5%. They would like to increase their profits and they are looking at focusing in one of two directions. First, they think they can save 2. 05% on their purchase expenses. Or second, they can focus on increasing sales. By how many dollars would they have to increase sales in order to equal a 2. 05% savings to purchasing expenses? (Display your answer as a whole number. )
as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500[/tex]
so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25[/tex]
so sales must be increased by that much in order to match the 2.05% of 4042500.
the temperature is falling at rate of 3 degrees per hour. if the temperature at 12 midnight is "-2°c," what will be the temperature at 5:00 am
Answer:
- 17° C
Step-by-step explanation:
the temperature falls at 3° per hour
midnight → 5.00 am is 5 hours , then
5 × - 3 = - 15 ← falls 15° in the 5 hours
temperature at 5..00 am = - 2 - 15 = - 17° C
Answer:
-17
Step-by-step explanation:
as it is falling by three so at 5am it will reach -17
confused on the function and method for this... help me out please.
Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then
∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )
When factored completely, z2 - 9 equals?
Let's see
[tex]\\ \bf\bull\rightarrowtail z^2-9[/tex]
[tex]\\ \bf\bull\rightarrowtail z^2-3^2[/tex]
(a+b)(a-b)=a^2-b^2[tex]\\ \bf\bull\rightarrowtail (z+3)(z-3)[/tex]
Answer:
(z+3)(z-3)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b) where a = z and b= 3
How many 3 digit numbers can be formed by 0; 2; 4; 5; 7 such that the digits are divisible by 5 and the repetition of any number is not allowed
Answer:
Three digit number to be divisible by 5 , the last digit should be 5 or 0
_ _ _5
Two remaining places can be filled in 4×3=12
_ _ _0
Two remaining places can be filled in 3×3=9 (0 cannot be filled in the first place, it will become 2 digit number).
Total =12+9=21
Solid A and Solid B are similar. The surface area of Solid A is 675 m² and the surface area of
Solid B is 432 m2. If the volume of Solid B is 960 m3, find the volume of Solid A.
The Volume of solid A that is similar to solid B is: 960 × 1.25 = 1,200 m³.
What is the Surface Area and Volume of Similar Shapes?If two solids, A and B, are given and have corresponding dimensions as a and b respectively, we would have the following:
Surface area of solid A/Surface area of solid B = a²/b²
Volume of solid A/Volume of solid B = a³/b³
Given that solid A and solid B are similar, and:
Surface area of solid A = 675 m²Surface area of solid B = 432 m²Volume of solid B = 960 m³.Find their corresponding dimensions, a and b:
Surface area of solid A/Surface area of solid B = a²/b²
Substitute
675/432 = a²/b²
√(675/432) = a/b
1.25 = a/b
Scale factor of Solid A to Solid B is 1.25.
Multiply 1.25 by 960 to get the volume of solid A.
Volume of solid A = 960 × 1.25 = 1,200 m³.
Learn more about area and volume of similar shapes on:
https://brainly.com/question/12580764
tthx for the help can you answer this question
Answer:
A = 41
B = 31
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the three angles in this triangle: 108, x+5, x-5
added up, we get
108 + (x+5) + (x - 5) = 180
= 108 + 2x + 5 - 5
= 108 + 2x
subtract 108 from both sides to isolate the variable and its coefficient
72 = 2x
divide both sides by 2 to solve for x
x = 36
A = x + 5 = 36 + 5 = 41
B = x - 5 = 36 - 5 = 31
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with green fabric. How much fabric does Abdul need in order to cover 8 of these blocks?
4cm
22cm
32cm
176cm
Please show your work. Thanks!
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = lengthw = widthh = height2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
To learn more about rectangular prisms, please check: https://brainly.com/question/8890358
Answer:
The amount of fabric needed to cover 8 blocks is 192cm.
How much fabric is needed to cover 8 blocks?
In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.
Total surface area of a rectangular prism = 2 (lw + wh + lh)
where:
l = length
w = width
h = height
2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm
Fabric needed fo 8 blocks = 24 x 8 = 192cm
Step-by-step explanation:
Solve the inequality and write the solution in set-builder notation. 8 <r-14
Answer:
22<rStep-by-step explanation:
soln8<r-148+14<r22<r answer.The expressions (30-2)(30+2) and 30^2-2^2 are equivalent and can help us find the product of two numbers. which two numbers are they?
Answer:
28 and 32
Step-by-step explanation:
The product indicated in your problem statement is ...
(30 -2)(30 +2)
= 28 × 32
The two numbers are 28 and 32.
__
The equivalent (30^2 -2^2) means that product is 900 -4 = 896.
Use the drop-down menus and the image to complete these statements about prokaryotes. prokaryotes a nucleus surrounding their chromosome of dna. prokaryotes are simple cells than eukaryotes. prokaryotes have a outside their cell membrane that gives protection and support. prokaryotes will often move by a tail-like .
Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.
What are eukaryotic and prokaryotic cells?Eukaryotic cells are larger than prokaryotic cells and have a “true” nucleus, membrane-bound organelles, and rod-shaped chromosomes. The nucleus houses the cell's DNA and directs the synthesis of proteins and ribosomes.
All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. Prokaryotic cells lack a nucleus and membrane-bound structures. Eukaryotic cells have a nucleus and membrane-bound structures called organelles.
So..the answer should be Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.
To know more about Cells follow
https://brainly.com/question/13920046
Answer:
Prokaryotes
✔ do not have
a nucleus surrounding their chromosome of DNA.
Prokaryotes are
✔ more
simple cells than eukaryotes.
Prokaryotes have a
✔ cell wall
outside their cell membrane that gives protection and support.
Prokaryotes will often move by a tail-like
✔ flagellum
.
Step-by-step explanation:
What is the totale of the recta
square meter
pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY
·[tex]3\sqrt{10}\ times -6\sqrt{30}[/tex]
Due by 12:23
Answer:
-180√3
Step-by-step explanation:
3√10 x - 6√30
= 3x-6 x -√10 x √30
= -18 x√300
= -18 x 10√3
= -180√3
How would I reduce this to lowest terms?
Since "a" is on the top and the bottom, you can simplify that
[tex]\frac{a^2b^2}{ac}[/tex]
[tex]\frac{ab^2}{c}[/tex]
The area of a 2/3 cube
Answer:
2 that's what soup calculated says
Select all the situations where knowing the volume of an object would be more useful than knowing its surface area.
A. Measuring the amount of gasoline left in the tank of a tractor.
B. Packing a box with watermelons for shipping.
C. Filling an aquarium with buckets of water.
D. Charging a company for ad space on your race car.
E. Determining the amount of paint needed to paint a barn.
F. Determining the monetary value of a piece of gold jewelry.
G. Deciding how much wrapping paper a gift will need.
Answer:
The answers are A, B, C, and probably F
Step-by-step explanation:
Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.
Hope this helps!
How many ways can 10 students line up in a food counter?
Answer:
for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...
so its 10x9x8x7x6x5x4x3x2x1=3628800
Step-by-step explanation:
sana makatulong
What is the value of `x` in the solution of the system of equations?`3x-2y=6``\ \ x+2y=10`
Answer:
x = 4
Step-by-step explanation:
3x - 2y = 6 → (1)
x + 2y = 10 → (2)
add (1 ) and (2) term by term to eliminate y
(3x + x) + (- 2y + 2y) = 6 + 10 , that is
4x = 16 ( divide both sides by 4 )
x = 4