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
I forgot to do homework and its due tomorrow
Solve:
-2 3/4 ÷ (-2.5)
Answer:
It is 1.1
Step-by-step explanation:
-hope this helps.
how many 1/4 foot cubes would fill the inside of a rectangular prism
Answer: 192 cubes.
Step-by-step explanation: Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube’s volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.
if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?
Answer:
Step-by-step explanation:
Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.
f(x) = x^2
f(x + 4) = (x + 4)^2
To show you this in graphical form, see below.
Red: f(x) = x^2
Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph
can anyone help me with this problem? Please it would be great.
Find the missing side of the triangle.
Answer:
[tex]\displaystyle 45 = x[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]
I am joyous to assist you at any time.
Find the area of the figure.
Answer: 300 ft^2
Step-by-step explanation:
First, find the area of the rectangle on the bottom:
Area of a rectangle = length * width = 18 * 12 = 216
Now, find the area of the trapezoid:
Area of a trapezoid = (base 1 + base 2) / 2 * height → (10 + 18) / 2 * 6 = 84
Add these together: 216 + 84 = 300 ft^2 :)
Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
How far has Dale ridden his bike? Enter your answer in the box.
Answer:
He has ridden 90 miles
Step-by-step explanation:
7.2 X 12.5 = 90
To train for a marathon, Lily plans on running 4 miles per day for the first week and then increasing that daily distance by 1 mile each of the following weeks.
Which of these equations represent the problem.
The equation which represent the problem is given by an = 4 + 1.00(n - 1)
How to write equation?Number if miles Lily run per day first week = 4 miles
Additional miles per day each week = 1 mile
let
n = total miles
The equation:
an = 4 + 1.00(n - 1)
When n = week 2an = 4 + 1(n - 1)
= 4 + 1(2 - 1)
= 4 + 1(1)
= 4 + 1
= 5 miles
Learn more about equation:
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Reflect the shape A in the line y=5
What are the coordinates of the vertices of the image?
Answer:
(4,5) (4,8)(4,6)
Step-by-step explanation:
So now you're reflecting over the horizontal line that passes through the point (0,5)
:))
Step-by-step explanation:
(4,5),(4,6),(4,8)
the answer is this!
PLEASE HELPP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
See below.
Step-by-step explanation:
Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.
94 and 86
119 and 61
-hope it helps
Please help me on all of these problems i am confused how they correlate
Answer:
Step-by-step explanation:
a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.
b) Same logic, (1/6)^2 = 1/36
c) correct
d) 3
How long is 10% of a 24-hour day?
2.4 hours
Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.
Answer:
2.4 hours
Step-by-step explanation:
24÷10=2.4
18. Find the surface area of the prism.
Step-by-step explanation:
the total surface area is the sum of the individual areas on the surface.
we have
2 triangles (top and bottom)
1 front rectangle
2 rectangles in the back
the area of a triangle is
baseline × height / 2
1.7 × 0.5 / 2 = 0.425 in²
both triangles together : 2×0.425 = 0.85 in²
the area of a rectangle is
length × width
so, the front is
1.7 × 1.5 = 2.55 in²
one back rectangle is
1 × 1.5 = 1.5 in²
both back areas are 2×1.5 = 3 in²
so, the total surface area is
0.85 + 2.55 + 3 = 6.4 in²
in the four graphs below, determine what transformation was used to transform ABC to A’B’C’. then, for each one, write the correct description of the transformation along with the algebraic notation
Answer:
the first one seems like a 90 degree rotation counter clockwise and a reflection across the y=1 line (or is it x=1 line id-k) and the second is an 180 degree rotation.
Evaluate the expression 2bc for b = 1.5 and c = 5.
Answer:
15
Step-by-step explanation:
To answer this, simply input your values into the equation:
Since b is given as 1.5, and c is given as 5, you put it into the calculation 2bc
so, you would do 2x1.5x5
which is equal to 15
Answer: 15
Step-by-step explanation: Multiply it. You have 2bc, b=1.5, c=5 plug those values into 2bc. You should get 2(1.5)(5) and that'll be 15.
2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for the balance of the account, then determine the amount of money in the account in 15 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}[/tex]
[tex]A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53[/tex]
express the product of 0.54 and 0.35 in standard form
Answer:
First answer, 0.54 is 54% and for the second one, 0.35 is 35%
Step-by-step explanation:
1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54
2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.
∠A and ∠B are corresponding angles, the measure of \angle ∠A is 110
Answer:
Step-by-step explanation:
if the measure of <A is 110°
Then the measure of <B is also 110°
In August, 6.35 inches of rain fell. In September, 10.2 inches fell. In both October and November, 5.85 inches fell. How much rain fell from August through November?
A: 13.22 inch
B: 19.07 inch
C: 22.4 inch
D: 28.25 inch
Answer:
28.25
Step-by-step explanation:
simple addition
6.35 + 10.2 + 5.85 + 5.85 = 28.25
Need help math.............
Answer:
P=39
Step-by-step explanation:
8X6=48 there's already 9 so
48-9=39
so p=39
Which fraction is closer to 0 than to 1 ? Choose all that apply .
A. 5/8
B. 2/6
C. 1/4
D. 4/6
E. 3/8
Literacy
Fill in the missing letters to make Maths related words:
Venn
Set
Diagram
Universal
S_r_i_g
Event
Probability
Not
Answer:
Sorting
Step-by-step explanation:
Question 1
Match each graph to the correct description of the number of solutions the system of equations has.
one solution
an infinite number of solutions
no solution
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales
Answer:
see below for the whole unit activity
Step-by-step explanation:
brain boggling boggle help pls
:)
Observe the division shown
To divide 2 by 9 Carl added a .0 on right of dividend and 0. on the right of quiotent .
Then he got 0.2Remainder recieved is 2 again
So these steps gonna repeating
The answer be like 0.222222..
A triangle has an angle that measures 90°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?
Answer:
70° and 20°
let the other 2 angles be 7x and 2x
90+7x+2x=180
9x=180-90
x=90/9
x=10
7x=7x10
70
2x=2×10
2p
576 = 96 × 6
Which statement does the equation represent?
A. 96 is 6 more than 576
B. 576 is 96 more than 6
C. 96 is 6 times as many as 576
D. 576 is 96 times as many as 6.
Answer:
D
Step-by-step explanation
A.96=6+576
B.576=96+6
C. 96=6×576
D. 576=96×6
Leah invests money in an account paying simple interest. She invests $180 and no money is added or removed from the investment. After one year, she has $192.60. What is the simple percent interest per year?
The final statement is: The rate of interest is 7% and simple interest is $12.60
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: Principal =$180 And amount after one year=$192.60
Therefore simple interest= 192.60-180
=12.60
∴12.60=180×r×1/100
r=7%
Hence, The rate of interest is 7% and simple interest is $12.60
Learn more about simple interest here:
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Describe these points with a double inequality
Answer:
-3 < x ≤ 13
Step-by-step explanation:
the filled circle is the less/greater than or equal to sign and the open circle is a less/greater than sign.
Find the solution of the system of equations shown on the graph
The solution of the system of the equations shown is where the equations intersect
--> (-7, 1)
Hope that helps!
Answer:
(-7, 1),
Step-by-step explanation:
The solution is the coordinates of the point of intersection.
At this point x = -7 and y = 1.
ANS FASTestttttttttttttttttttttttt
Answer:
x is 75° ........................