It can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
Let the hypothesis be:
H₀: The difference in the mean is less than or equal to 0.
H₁: The difference in the mean is greater than 0.
Here, the sample size, n = 8.
Assume, α = 0.05.
First, find the mean of the differences.
[tex]\bar{d}=\frac{(283-215)+(299-206)+...+(277-196)}{8}[/tex]
[tex]=79.375[/tex]
Now, the standard deviation of the difference is:
[tex]s_d=\sqrt{\frac{(68-79.375)^2+...+(81-79.375)^2}{8-1}}[/tex]
[tex]=13.3838[/tex]
The t value is:
[tex]t=\frac{\bar{d}}{\frac{s_d}{\sqrt{n}}}[/tex]
[tex]=16.7745[/tex]
Now, the degree of freedom is 8 - 1 = 7.
The p-value corresponding to this is 0.0005, which is less than the value of 0.05.
So, reject H₀.
Hence, it can be concluded that the mean cholesterol level after treatment is less than the mean before treatment.
Learn more about t-value here :
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4. Which of the following is a pair of vertical angles?
Angles 1 and 4
Angles 1 and 3
Angles 1 and 2
Angles 1 and 8
Answer:
Angles 1 and 8 because they are vertically aline
Answer:
Angles 1 and 8
Step-by-step explanation:
i took the test
!!!!!!!please help!!!!!!!!
Answer:
The first one is No. The second one I do not know unfortunately.
Step-by-step explanation:
I am in the middle of this lesson in my math class as well and I know that in order to make a triangle, you need the two smaller sides to add up to become larger than the biggest side. In the case of the first question, the two smaller sides, 6 and 3 equal 9, which is not bigger than the biggest side which is 10. I hope you can find the answer to the second one, but for now, the first one is No.
what is -5xy and 8xy
Answer:
3xy
Step-by-step explanation:
Answer10:
Step-by-step explanation:
10
Please help! Please help!
Answer:
I have seen this question before and I believe the answer is 94
Step-by-step explanation:
3⁷×3-⁴ I need help asap!
Hope it helps
Have a good day Ahead
Answer:
the answer will be 27
Step-by-step explanation:
Classify each statement about the function f(3) = 323 +6 as true or false.
Answer:
true.
false
true.
false.
Step-by-step explanation:
1. The domain (x-value) of a function is (-∞, +∞) unless there is some reason for it not to be. No matter what we make x, we do not wind up with something forbidden in the real-number coordinate plane, like a zero denominator or a square root of a negative number, so the domain for x is all real numbers. True.
2. The statement says the range (the y-value) of the function must always be more than zero. There is no particular reason to belive that. If x = -10, then x³ + 6 = -1000 + 6 = -994, which is less that zero. False.
3. We get the y-intercept by making x equal zero. In tha case y = 0³ + 6 = 6. The y-intercept always has an x-coordinate of zero, so the point is (x, y) = (0, 6). True.
4. If a function has symmetry about the origin point, then replacing y with -y and x with -x will get you an equation equivalent to the original. let's try it.
-y = 3(-x)³ + 6 now lets see what happens it we let x = 2
For the original equation: y = 3(2)³ + 6 = 3(8) + 6 = 24 + 6 = 30
Now we try the test equation: -y = 3(-2)³ + 6 = 3(-8) + 6 = -24 + 6 = -18
So -y = -18
So y = 18
The first equation and the test equation are not equivalent, as they do not yield the same results for the same value of x.
Thus, the origin is not a point of symmetry. False.
I am attaching a picture of this function's graph so you can see the actual point of symmetry is (0, 6), which is also the y-intercept. I made it on Desmos dot com, which is free for everyone.
The Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry.
Domain, range, and y-interceptGiven the function [tex]f(x)=3x^3 + 6[/tex]
Domain and range are the value of input and output that the function exists.
For the given function, the domain and range exist on all real numbers.
Domain = (-∞, ∞) and Range = (-∞, ∞)
The y-intercept occur at (x) = 0
g(0)= 3(0)^3 + 6
g(0) = 6
Hence the Domain = (-∞, ∞) and Range = (-∞, ∞), y-intercept occurs at (0, 6) and the origin is not a point of symmetry. False.
Learn more on range and domain here: https://brainly.com/question/2264373
how many ways can 60 baseball cards be arranged in rows containing the same number of cards?
Answer:
10 ways, 6 in each pile
or 6 ways, 10 in each pile
Step-by-step explanation:
A triangle has sides with lengths of 7 yards, 8 yards, and 9 yards. Is it a
right triangle?
Answer:
No, it is not a right triangle.
Step-by-step explanation:
A right triangle will follow the Pythagorean Theorem: a² + b² = c²
c is the hypotenuse, or the longest side. In this case, it is 9.
That means a and b are 7 and 8.
Now let's plug in the values to see if they simplify correctly.
(7)² + (8)² = (9)²
Simplify the exponents.
49 + 64 = 81
Add the left side.
113 = 81
The above expression is not true; therefore, this triangle is not a right triangle.
Which statements are correct based on the graph? Select all that apply.
BCDE is rotated 90° to form JKLM.
PQRS is rotated 90° to form JKLM.
BCDE is rotated 180° to form JKLM.
JKLM is rotated 180° to form BCDE.
PQRS is rotated 180° to form BCDE.
Answer:
2,3,4
Step-by-step explanation:
hope this helps=D
Answer:
B,C,D
Step-by-step explanation:
Happy Paws charges $16.00 plus $3.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $4.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Answer:
First, set up equations for total cost for both Happy Paws and Woof Watchers.
x= number of hours
y= total cost
Happy Paws
y=3.50x +16
Woof Watchers
y=4.75x+11
4.75x+11=3.50x+16
x=4
You can check your answer by doing the following:
Happy Paws: (3.50)(4)+16= 30
Woof Watchers: (4.75)(4)+11= 30
Thirty security personnel need to be hired. They will work one week on and one week off for 20 hours per week. If they are paid $15/hour, what is the security labor cost for a four-week month?
Answer:
$18,000
Step-by-step explanation:
Step 1.
Figure out how much it costs to hire one security personal for a month
2×20×15
=600
$600 per person per month
Step 2.
Multiply that number by the no. of people needed to be hired
600×30
=18000
∴ The security labor cost for a four-week month is $18,000
I WILL MARK BRAINLIEST :) Determine which segment is shortest in the diagram.
Answer:
C.
Step-by-step explanation:
Answer:
C. Segment AC
Step-by-step explanation:
I am going to figure all the angles first. Triangles always add up to 180 degrees so I am going to use that.
50 + 49 = 99
180 - 99 = 81
<C = 81°
99 + 37 = 136
180 - 136 = 44
<A = 44°
The shortest segment is always going to be opposite the smallest angle. The smallest angle is 37°. Therefore, Segment AC is the shortest.
If x is a positive integer, and x = 3y = 6z, what is the value of x + y in terms of z?
F. 3z
G. 5z
H. 8z
J. [tex]\frac{25}{3} z[/tex]
K. [tex]\frac{31}{3}z[/tex]
Admission to the circus costs $4 plus $0.50 per ride. Ella spent $17.50 at the circus.
Answer:
Ella went on 27 rides.
Step-by-step explanation:
$17.50 - $4 = $13.50
Plz help mee
A. 49.75
B.74.75
C.156
D.1196
Answer:
B: 74.75
Step-by-step explanation:
If four roommates (I don't know how to spell it) want to divide the prize of a computer which costs 299 is the same as: 299/3 which gives you 74.75
In which type of economic system, does the government handle decisions related to the production of goods and services?
A.
command
B.
market-driven
C.
mixed
D.
market
Answer:
D Market
Step-by-step explanation:
the production determines how the goods and services are destributed and applied so the goods can flow all based off of the market
Answer:
Step-by-step explanation:
The answer is 'command'.
Which expression is equivalent to 18 - 20
O 18+(-20)
18 - (-20)
-18 + 20
- 18 - 20
answer: a. 18 + (-20)
explanation: adding a negative is the same as subtracting a positive
A paper company produces 2,985 notebooks in 3 days. How many notebooks can it produce in 11 days?
Answer:
10080
Step-by-step explanation:
2985÷3=995×11=10080
Answer:
It can produce 32,835 in 11 days.
Step-by-step explanation:
2,985 x 3 = 8,955
2,985 x 3 = 8,955
2,985 x 3 = 8,955
If you add another three, that'll be 12, so, we'll multiply 2,985 x 2.
2, 985 x 2 = 5,970
Now, Add all of those 4 numbers together,
8,955 + 8,955 + 8,955 + 5,970 = 32,835
choose the fraction that is greater than 3/18, is less than 50/100, and has 9 as it denominator
Answer:
3/9 or 4/9
Step-by-step explanation:
Determine whether each of the properties described applies to volumetric or graduated glassware.
a. Used for applications in which great accuracy is needed __________
b. Capable of measuring a range of volumes of liquid _________
c. Designed to measure one specific volume of liquid _________
Answer:
a. volumetric glassware
b. Graduated glassware
c. volumetric glassware
Step-by-step explanation:
The graduated glassware and the volumetric glassware is the factory calibrated used to deliver such as the graduated cylinders and pipettes and it contains the volumetric flask of a known amount of the liquid.
A volumetric glassware is a type of the laboratory flask and a graduated glassware is mostly of the cylinder shape and is also known as the measuring cylinder.
In the context,
a). The volumetric glassware is used in the applications where much accuracy is needed to perform the experiment.
b). Graduated glassware is used for measuring a wide range of volume of the liquid used in the laboratory,
c). The volumetric glassware is used to measure one specific amount of the volume of the liquid to be used.
The circumference of the earth is approx. 40,000 km.
a) What is the diameter of the earth?
b) Calculate the volume of the soil
Simplify (2b+9)+(13+5b)
Imagine having all things
Answer:
things would be abit boring if you had everything tbh
Step-by-step explanation:
A study shows that unemployment has not impacted white-collar and blue-collar workers equally (Newsweek, April 20, 2009). According to the Bureau of Labor Statistics report, while the national unemployment rate is 8.5%, it is only 4.3% for those with a college degree. It is fair to assume that 27% of people in the labor force are college educated. You have just heard that another worker in a large firm has been laid off. What is the probability that the worker is college educated
Answer:
0.137
Step-by-step explanation:
The computation is shown below:
Educated = 0.27
And, unemployed to educated is 0.043
Now probability of educated and unemployed is
= 0.043 × 0.27
= 0.1161
So, the educated would be
= 0.01161 ÷ 0.085
= 0.137
Margo is planning a vacation. Assume that they have 2 possible destinations: beach or mountains. There are 2 vacation areas in the beach destination with 5 available condos for 1 of the areas, and 4 available condos for the other areas. There are 3 mountain destinations with 1 available condo for 2 of the areas, and 3 available condos for the other areas. A trip plan involves the selection of a destination, area, and a condo. First, draw out the tree diagram representing making these choices below:
Required:
a. How many outcomes are there in the sample space?
b. Write out the event "Margo picks a beach destination" in set notation.
Answer:
There are 14 outcomes in the sample space.
x= { x/x ∈ b, where b≠0 }
Step-by-step explanation:
The tree diagram is as follows
Sample Space
Margo→→→→Beach (b)→→→→→→→1 destination→→→→→→→5 condos 5
║ ║→→→→→→→→→→2 destination→→→→→→→→→4 condos 4
║
║
║→→→→→Mountain (m) →→→→→→→→1 destination→→→→→→ 1condo 1
║→→→→→→→→→→2 destination→→→→→ 1condo 1
║→→→→→→→→→→ 3destination→→→→→ 3 condos 3
Part a:
There are 14 outcomes in the sample space .
5+4+1+1+3= 14
Part b:
Margo picks a beach destination in set notation is
x= { x/x ∈ b, where b≠0 }
x such that x belongs to b ( beach destination) and b is not equal to zero.
Hep solve this Geometry problem
Rewrite the equation using the distributive property
2(9x+4)
Answer:
18x+8
Step-by-step explanation:
distribute
2 x 9x = 18x
2 x 4 = 8
Hope This Helps!!
A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?
Answer:
Scale factor: 1.8
Step-by-step explanation:
AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13
AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13
AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8
What is the density of a 64-g iron cube that displaces 8 mil of water?
Answer: 8gml
Step-by-step explanation:
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Answer:
k
Step-by-step explanation:
can i have branliest answer for no reason and god bless u
Answer:
period
Step-by-step explanation: