The null hypothesis and the research hypothesis respectively refers to;
A: Population; Sample
Null and Alternative hypothesis
Null hypothesis is defined as a working hypothesis making a claim about the population parameter in question. This means it deals with an overall Population.
Whereas, the alternative hypothesis also called the research hypothesis is one that seeks to disapprove or validate the null hypothesis and as such it is based on the results taken from a sample of a given population from which the null hypothesis is based.
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Marcel walks due north 50 meters from a tree. Katya walks 20 meters in a straight line away from the same tree but at an angle of 42° from due north, as shown in the diagram below. How far apart are Marcel and Katya to the nearest meter?
The distance from Marcel and Katya is 34 metres
SOH CAH TOA identityFrom the given diagram, we have the following
Hypotenuse = 50mOpposite = xAcute angle given = 42 degrees
According to SOH CAH TOA identity
sin theta = opp/hyp
sin 42 = x/50
x = 50sin42
x = 50(0.6691)
x = 33.46
Hene the distance from Marcel and Katya is 34 metres
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y > x + 1
y < 2x
x 2 >5
Which points are solutions to the system of inequalities shown below?
Answer:A D F
Step-by-step explanation:
Answer:
Step-by-step explanation:
See attached image.
What is the process where cells divides and replace old or damaged cells?
chromosomes
mitosis
photosynthesis
cell theory
Answer:
The answer is chromosomes.
can you pls answer 1 and 2 ?? ( i am clueless how to do this )
Answer:
1: M'N'P'Q is NOT the dilation
2. UVW is the dilation
Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation. He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost. What is Mike's ending cash balance? Ending Cash Balance = Beginning Cash Cash Inflow – Cash Outflow Hint: Do not forget to include the comma to separate the digits and to type the $ symbol! Example: $32,100.
Mike's ending cash balance of the cash flow statement for his first year of operation is $95,400.
What is cash flow?Cash flow is defined as the report which shows the total inflow and outflow of the business for a particular financial period.
Given
Mike owns a skate shop. He is preparing the cash flow statement for his first year of operation.
He had a beginning cash balance of $4,800, $103,000 in total cash sales, $3,500 for utilities, $2,600 in loan payments, and $5,500 for marketing cost.
Total cash inflow = $4,800 + $103,000 = $107,800
Total cash outflow = $3,500 + $2,600 + $5,500 = $11,600
Then the cash flow will be
[tex]\rm Cash\ flow = \$ 107,000 - 11,600\\\\Cash\ flow = \$ 95,400[/tex]
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Translate the sentence into an inequality.
The product of y and 7 is less than or equal to - 20.
Answer:
[tex]7y \leqslant - 20[/tex]
-12x - 7 = show me the steps please
thank you
Answer:
is there a number after the =? there are no like terms to solve this if you don't have that so you would put -12×-7...
Jessica purchased a DVD that was on sale for 12% off. The sales tax in her county is 3%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.
Write your answer in your own words, please!
If you don't know the answer, don't type anything.
Answer:
12. 5
11.
10
10
15. 7
14. 11
2
=
16
16
18. 3
+
11
17
3
4
co
loo
8
Step-by-step explanation:
12. 5
11.
10
10
15. 7
14. 11
Answer:
y= 12% + 3%
y= 0.12 + 0.03
y= 0.12 - 0.03
y= 0.09
Step-by-step explanation:
A high definition radio station charges $200 membership fee for one year in addition to $50 per month for the first 6 months to receive its broadcast. The total cost for the services is determined by the number of months
Answer:
300.00$
50$ per month
6 months
50x6
does anyone know the answer to ts ?
Answer: C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
level of the sea 3 meter is true and fish lives in water.
Simplify. please help!
Answer:
-3y
Step-by-step explanation:
Take the square root of each term inside the radical to get rid of the radical. The square root of 9 is 3 and the square root of y^2 is y, so the square root of 9y^2=3y. Put the negative back in front and you get -3y.
help me graph this please
Answer:
what do you need help with
Step-by-step explanation:
What are the solutions of 12 - x2 = 0?
O x=2,5 and x = -2/3
O x=373 and x = -312
O x= 4/5 and x = -4/3
* x= 6 and x = -6
[tex]12 - 2x = 0 \\ - 2x = 0 - 12 \\ -2x = - 12 \\ - x = - 12 \div 2 \\ - x = - 6 ( - can \: be \: cancelled \: if \: its \: in \: both \: side)\\ x = 6[/tex]
kindly swipe right to left for full solution.
the solutions for the quadratic equation are 3.46 and -3.46
How to solve the quadratic equation?
Here we have the equation:
12 - x^2 = 0
To solve this, first, we add x^2 on both sides:
12 = x^2
Now we can just apply the square root on both sides, to get:
±√12 = x
±3.46
So the solutions are 3.46 and -3.46
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A large health care system gave all nurses a flat wage increase. A union representative sampled 50
nurses and found that the mean increase in total wages was 5.2%
with a standard deviation of 1.61.
Using a 95% confidence interval, which statement from the union best describes the wage increase for all nurses in the system?
A. The average wage increase for nurses in the system was between 3.6%
3.6% and 6.8%.
B. The average wage increase for nurses in the system was 5.2%.
C. The average wage increase for nurses in the system was 5.205%.
D. The average wage increase for nurses in the system was between 4.76%
4.76% and 5.65%.
Answer:
NOT The average wage increase for nurses in the system was between 3.6% and 6.8%.
Step-by-step explanation:
Solve the following linear equations a) a+7 =15
Answer:
a = 8
Step-by-step explanation:
a + 7 = 15
a + 7 - 7 = 15 - 7 Subtract 7 from both sides.
a = 8
Answer is
A = 8
Because 8 + 7 = 15
The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get 8
What is the range of the absolute value function below?
12 and 300 as decimal
Answer:
12/300 as a decimal is 0.04.
A tree was 4 m tall. One year later, the tree grew f m and became 10 m tall. Write an equation for the height of the tree
Answer:
6m
Step-by-step explanation:
10m-4m=6m
I hope this helped!
Answer:
4+6=10
Step-by-step explanation:
please show work and explain every step!
Answer:
x = 6
FE = 28
Step-by-step explanation:
The triangles are similar so their side lengths are proportional
we can use that proportional value to find x and FE
(5x-2)/42 = (4x+2)/39 cross multiply expressions
195x - 78 = 168x + 84 get like expressions to the same side of the equation
195x - 168x = 84 + 78
27x = 162 divide both sides by 27
x = 6 now to find FE replace x with 6 in the expression
5x - 2 = 5×6 - 2
FE = 28
A sequence is defined by the following: an = 4n – 1 What is a1? What is a8?.
Answer:
a^1=1
a^8=16,384
Step-by-step explanation:
The original equation of a^n=4^n-1 uses n as a placeholder variable for whatever value is needed to solve the equation. For the first question, which gives 1=n, substituting 1 into the equation gives you the answer of 1. 1-1=0. You can not have any number to the power of zero however, so due to the multiplicative identity, you end up with a positive 1.
The second one we are given 8=n. 8-1 equal 7. 4 to the power of seven (multiply 4 by itself 7 times) gets you 16, 384.
Given the sequence defined as [tex]a_{n} = 4n - 1[/tex], [tex]a_{1} =3\ and\ a _ {8} = 31[/tex].
What is an arithmetic sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
[tex]a_{n} = a_{1} + (n-1)d[/tex]
Given sequence:
[tex]a_{n} = 4n - 1\\\\a_{1} = 4 * 1 - 1 = 4 - 1 =3\\\\a _ {8} = 4 * 8 - 1 = 32 - 1 = 31[/tex]
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Find the value of x. Round your answer to the nearest tenth.
Answer:
The value of x is 12.24
Step-by-step explanation:
Given;A right angled-triangleTo Find;The value of xNow,
tan 36 = x/17
0.72 = x/17
x = 17 × 0.72
x = 12.24
Thus, The value of x is 12.24
-TheUnknownScientist 72
help plss i need ittttt
With the baby in his arms, Mr. Greer weighed 180 pounds. Without the baby, he weighed 165 1/2 pounds. How much did the baby weigh?
ANSWERS ASAP!
Answer:
14.5 Pounds
Step-by-step explanation:
Subtracting 165.5 lb from 180 lb gives you 14.5 lb
If CS = 4 and AD = 10, what is the measure of CD? Round to the nearest hundredth. Show all your work.
The measure of the length of line segment CD is; 12.8
Pythagoras theoremPythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.
From the task content, the center of the circle is at point S and since CS = 4;
It follows that CA = 4× 2 = 8.Hence, it follows from Pythagoras theorem that;
CD = √(8² + 10²)CD = √64+100CD = √164.CD = 12.8Read more on Pythagoras theorem;
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Perform the indicated operation.
3.26 + (-4)
0.74
-0.64
3.22
-0.74
Answer:
-0.74
Step-by-step explanation:
[tex]3.26 + ( - 4) \\ + \times - = - \\ 3.26 - 4 \\ substract \: the \: terms \\ - 0.74[/tex]
Train 1 travels at a constant speed of 240 miles in 3 hours. Train 2 travels 490 miles in 7 hours. Which train is faster?
Answer:
Train 1
Step-by-step explanation:
Train 1 has constant speed: 240 miles / 3 hours = 80 mph.
Train 2 has constant speed: 490 miles / 7 hours = 70 mph.
So, Train 1 is faster.
Find the mean of:
1.8, 1.7, 1.3, 1.1, 1.2, 1.6, 1.8
Answer: D.
Step-by-step explanation:
which one of the following rules describes this transformation?
Two people worked on a car. The first person charged $ 85 per hour, and the second person charged $ 120 per hour. The people worked for a combined total of 15 hours, and together they charged a total of $ 1450. How long did each person work?.
The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
What is an equation?
An equation is formed when two equal expressions are equated so that the value of a variable can be found.
Let the number of hours for which the first person worked on the car is x
In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,
[tex]x+y =15[/tex]
The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as
[tex]85x+120y = 1450[/tex]
As we got the two-equation solving the two-equation, to get our answer.
In the first equation, we will isolate y, in order to get the value of y in terms of x,
[tex]x+y = 15\\y = 15-x[/tex]
As we got the value of y, substitute the value in the second equation,
[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]
As we have the value of x, substitute the value in the first equation,
[tex]x+y=15\\(5)+y=15\\y=10[/tex]
Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
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help me pls!!
find x and y
y= -3x=-19
5x+8y=0
Answer:
x= -8; y= 5
Step-by-step explanation:
5x + 8 ( -3x -19) =0
5x -24x -152 =0
5x -24x= 152
-19x = 152
x= -8
y= -3x -19
y= -3(-8) -19
y= 5
5x + 8y = 0
5(-8) + 8(5) =0
-40 + 40 = 0