Answer:
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.11
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Each side of a square potholder is 21 centimeters long.
What is the area of the potholder?
The answer is a 441 cm area
PLEASE HELP FAST!!! ILL MARK AS BRAINLIEST!!!!what is the area and perimeter of a box that is x-3 and x+9?
Answer: x^2 +6x-27
Step-by-step explanation:multiply x and x. Multiply 9 and -3. multiply x and 9, then multiply x and -3. Add 9x+-3x= 6x
x^2 +6x -27
Can I please get help with this
9514 1404 393
Answer:
35x + 20 ≥ 1000x ≥ 28Step-by-step explanation:
The number of filled bags will be 35 for each hour (x) that Jackson works, in addition to those already filled. So, the total number filled after x hours is ...
35x + 20
We want that number to be at least (greater than or equal to) 1000, so the relation is ...
35x +20 ≥ 1000
__
To solve this, we first subtract 20:
35x ≥ 980
Now, we can divide by the coefficient of x.
x ≥ 980/35
x ≥ 28 . . . . . the solution
Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach her goal? Write an equation to solve the problem. Explain how you found your answer.
(will give brainiest if answered correctly, if you just comment something wrong and a waste of time that is a report)
Which ach represents the inequality < -1 + 2x?
Answer:
3rd one
Step-by-step explanation:
if 5 miles= 8 km, convert 40 mules to kilometers
Answer:
64.3738
Step-by-step explanation:
Answer:
64km
Step-by-step explanation:
5miles= 8km
40/5= 8
8x8= 64km
The ‘peak’ of a transverse wave is call the
Answer:
λ
Step-by-step explanation:
If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4
of the pan?
Answer:
$12
Step-by-step explanation:
We have to do this operation:
(16/4) x 3 = 4 x 3 = $12
Answer:
It will cost $12 to purchase 3/4 of the pan of brownies
Step-by-step explanation:
3/4 of 16 is equal to 12.
Hope this helps! Pls mark brainliest
What is the area of this
Answer:
your answer will be 699.78 km
Step-by-step explanation:
PLEASE HELP| calculate measure of angle H. round answer right nearest tenth of a degree
9514 1404 393
Answer:
28.1°
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(H) = 8/17
H = arcsin(8/17)
H ≈ 28.1°
Find the value of x
Answer: 38
Step-by-step explanation:
PLEASE HELP GEOMETRY ASAP! 20 POINTS REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED WITH NO POINTS!!
I thought it was B, but it says it's wrong. Its definitely not D, so A or C?
9514 1404 393
Answer:
A) B = 37.2°, b = 309.1, c = 382.3
Step-by-step explanation:
You know the third angle must be ...
B = 180° -131.6° -11.2°
B = 37.2° . . . . . . eliminates choice D
You know the two missing sides are both longer than 99.3, eliminating choice C.
Since angle C is the largest angle, side c is the longest side, eliminating choice B.
By the process of elimination, we know the correct choice is A.
__
The Law of Sines will tell you the length of side C is related to the other triangle values by ...
c/sin(C) = a/sin(A)
c = (99.3 ft)×sin(131.6°)/sin(11.2°)
c ≈ 382.3 ft . . . . matches choice A
Please help Me ASAP Please
Answer:
217/31=7. He needs to run 7 miles per day.
It costs Forest $0.39 to make a cookie. He decides to sell his cookies at a mark up of 85%. Is the final amount cheaper or more expensive than the original price?
Whoever answers correctly will get Brainliest.
Have an amazing day!! :))
The distance from Point C to the tower at Point A is 1.2 miles, while the distance from Point C to the tower at Point
Bis 1.8 miles. If mZACB=81", what is the distance, to the nearest tenth of a mile, between the water towers?
what is the unknown number in sequence 2
question in picture(explain if u can it helps alot)
Answer:
4z + 2q
Step-by-step explanation:
there is 4 "z" and 2 "q"
Answer:
4z+2q
Step-by-step explanation:
combine like terms
combine all the z’s and all the q’s
A survey was conducted to investigate whether there is an association between a person's age and their thoughts on what a state senate should do about state parks. Participants selected from "leave state parks the way they are," "increase funding to state parks," or "completely overhaul state parks," and their age was categorized as under 30 years old, between 30 and 50 years old, and over 50 years old. The hypothesis test statistic was calculated to be 15.01. Which of the following is closest to the p- value of the test?
A. 0.0047
B. 0.0103
C. 0.0202
D. 09897
E. 0.9953
Answer:
E. 0.9953
Step-by-step explanation:
The computation of the p value is shown below:
According to the question
The participant choosen from 3 different state parks, r = 3
And there are 3 different age group, s = 3
So, degrees of freedom is
= (r-1) × (s-1)
= 2 × 2
= 4
And, the Test statistic is 15.01
Now
p-value = P(Chisq < 15.01 )
= 0.9953
In the chisquare table see the degree of freedom i.e. 4
Answer:
0.0047
Step-by-step explanation:
This is what college board says
The value 0.0047 is the probability that χ2 is greater than 15.01 in an χ2 distribution with (3−1)(3−1)=4 degrees of freedom.
What comes next in the pattern?12,16,20
A. 10
B. 22
C. 23
D. 24
How many solutions does this system of equations have? Explain how you know.
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Find the measurements of the numbered angles in each kite.
Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
Answer choices- 4, 64, 240, 116, 68, 105, 480, 400 (20 points)
Square 1 has a area of 24 square units if square 2 is half the size what is the ratio of the area of square one to square two?
Answer:
Step-by-step explanation:
I'm going to guess that 1/2 the size means the sides are 1/2 the size.
Square 1 has an area of 24. The sides are s, so the area is found by using s^2
The second square is made from sides that are 1/2 s
Area = 1/2 s * 1/2 s
Area = 1/4 s^2
Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 = 1/0.25
What is the height of a triangle whose base is 36 inches area is 234 Square inches
Answer:
hb will = 3in/ three in
If log 5 = 0.699 and log 3 = 0.477, find log 45 without using
the log key.
Answer:
1.653
Step-by-step explanation:
Write log45 as a product of its prime factors
log45= log3^2 * log5
Substitute the given logarithms to the respective numbers.
Remember the laws of logaarithms that * changes to +
log 45 = 0.477*2 + 0.699
You will find that log 45 = 1.653
From the given logarithmic values the value of log45 derived as 0.1590.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
Given that, log5=0.699 and log3=0.477.
Here, log45 can be written as log9×log5=log3²×log5
= 0.477²×0.699
= 0.1590
Therefore, the value of log45 is 0.1590.
To learn more about the logarithmic equation visit:
https://brainly.com/question/14406101.
#SPJ2
2, 6, 10, 15, ...
O Arithmetic
O Geometric
O Neither

Given:
The sequence is:
2, 6, 10, 15,...
To find:
Whether the given sequence is Arithmetic, Geometric, Neither.
Solution:
We have,
2, 6, 10, 15,...
Different between consecutive terms are:
[tex]6-2=4[/tex]
[tex]10-6=4[/tex]
[tex]15-10=5[/tex]
Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.
Ratio of consecutive terms are:
[tex]\dfrac{6}{2}=3[/tex]
[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]
Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.
Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.
Answer it right and i'll try to give you brainliest.
Answer:
384 cm²
Step-by-step explanation:
Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.
[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]
Area of a triangular face
= ½ ×12 ×10
= 60 cm²
[tex]\boxed{area \: of \: square = side \times side}[/tex]
Base area of pyramid
= 12 ×12
= 144 cm²
∴ Surface area of pyramid
= 4(60) +144
= 240 +144
= 384 cm²
which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2
Answer:
x =30/19 and y =2/19
Step-by-step explanation:
5x + y = 8
x + 4y = 2
then
5x + y = 8
-5(x +4y =2)
5x + y = 8
-5x - 20y = - 10
0 +y - 20y = -2
- 19y = -2
y = 2/19 then
5x + 2/19 = 8
5x = 152-2/19
5x/5 =150/19 *1/5
x =30/19
Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.
Answer:
there is a 13 degree difference from DBC and DAC
with that you divide 1540 by 13 as you get that 118.461 feet
that means that there is a 118.461 difference from B to C and A to B
so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate
1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?
Answer:
Step-by-step explanation:
x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3
[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]
[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]
=2.75