Answer:
Kindly check explanation
Step-by-step explanation:
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 > μ2
Given :
x1 = 21.1 ; n1 = 53 ; s1 = 1.1
x2 = 20.7 ; n2 = 46 ; s2 = 1.2
The test statistic :
(x1 - x2) / √[(s1²/n1 + s2²/n2)]
(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]
0.4 / 0.2326682
Test statistic = 1.719
The degree of freedom using the conservative method :
Comparing :
Degree of freedom = n - 1
Degree of freedom 1 = 53 - 1 = 52
Degree of freedom 2 = 46 - 1 = 45
Smaller degree of freedom is chosen ;
The Pvalue from Test statistic, using df = 45
Pvalue = 0.0462
Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.
A square + B square
Soln: Formula for a²+b² can be given by two types.
(i). a²+b² = (a+b)² - 2ab
= a²+2ab+b²-2ab
= a²+b²
=> LHS = RHS
Therefore, hence proved!
(ii). a²+b² = (a-b)² + 2ab
= a²-2ab+b²+2ab
=> LHS = RHS
Therefore, hence proved!
Hence, a²+b² = (a+b)² - 2ab
'OR'
a²+b² = (a-b)² + 2ab
Thank you. ☺️
hope it helps
Activity 1
1. How much space in the room will a cabinet occupy if it is 1.5 m long, 0.34 m wide and 2.5 m high?
2. A box is 2,5 dm long and 5pm high it's volume is 62.5 dm. How wide it is?
3.Alberto made a cubical box 3cm on a side. What is the capacity of the box?
Step-by-step explanation:
my answer is in the image above
find the value of x to the nearest tenth
a. -4.4
b. 7.5
c. 1.9
d. 3.5
Answer:
B
it is b because 7,5 is nearest
∑_(n=1)^∞▒〖( 1/2 )〗^2n
Answer:
The series converges to [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
It seems to be this series:
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]
We have
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]
Using the Root test we can see that this series converges once
[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]
Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]
The series is convergent.
Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.
The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]
[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]
How do I do this question?
Answer:
3rd OptionStep-by-step explanation:
[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]
[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]
[tex] = 9 \sqrt{2} (ans)[/tex]
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Task #3 Mariam’s Job
Date Completed:
Mariam makes $50 a week.
a) Show this relationship in a graph below.
b) What is the unit rate of the line in the equation?
c) What is the connection between the unit rate and the amount of money Mariam makes per week?
d) Write the equation for this relationship.
e) Is this a proportional relationship? Justify your answer.
Answer:
a
Step-by-step explanation:
Help find average rate of change
Problem 2
Answer: Average rate of change = 4==========================================================
Explanation:
When we have an interval [a,b], the average rate of change over this interval is given by the formula
[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]
You probably can notice that we have something that looks eerily similar to the slope formula. That's because average rates of change are basically the same as the slope of the straight line through the endpoints of the interval. The f(b)-f(a) is the change in y of f(x) outputs. The b-a down below is the change of x values when going from x = a to x = b.
-------------------
Let's evaluate the function at x = 1
f(x) = x^2+1
f(1) = 1^2+1
f(1) = 2
Repeat for x = 3
f(x) = x^2+1
f(3) = 3^2+1
f(3) = 10
--------------------
We have enough info to evaluate the original formula I mentioned earlier
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(3)-f(1)}{3-1}\\\\m = \frac{10-2}{3-1}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]
The average rate of change on this interval is 4
This is the same as saying the slope of the line through (1,2) and (3,10) is m = 4
See the graph below.
Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.
Answer:
7x + 3y.
Step-by-step explanation:
7 pencils cost 7x cents and 3 erasures cost 3y cents.
In which of the following drawings is DE parallel to AC?
Answer:
its option D because the lines are not even close to crossing.
Step-by-step explanation:
hope this helps :)
Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let p hat Subscript Upper A and p hat Subscript Upper T be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie.
Which of the following is the mean of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T?
–0.11
0.11
0.74
1.47
Answer: -11
Step-by-step explanation:
Answer:
–0.11
Step-by-step explanation:
edge 2023
pls help pls help pls help
Answer:
Step-by-step explanation:
What are the domain and range of the function represented by the set of ordered pairs? {(-7,1),(-3,2), (0, -2), (5,-5)}
Answer:
domain: {-7, -3, 0, 5}
range: {-5, -2, 1, 2}
Step-by-step explanation:
The domain of this set of ordered pairs is the set of input values (x-coordinates): {-7, -3, 0, 5}, and the range is that of output values (y-coordinates): {1, 2, -2, -5} or {-5, -2, 1, 2}.
The function is f(x) is shown on the graph.
What is f(0)
•12 only
•2 and 3 only
•-2, -1, 1, and 2 only
•-2, -1, 1, 2 and 12
Answer:
12 only
Step-by-step explanation:
The function is given on the graph.
What is f(0)?
This is the value of y when x = 0.
Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:
12 only
x( 3x - 2y + 4z)x = -2, y = 4, and z = -3
what is a bank statement
Step-by-step explanation:
a printed record of the balance in a bank account and the amounts that have been paid into it and withdrawn from it, issued periodically to the holder of the account.
circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰
Answer:
sin62 =0.883Step-by-step explanation:
0.883=1/0.836=1.133
The measure of ∠CAB is 31⁰.
Given that,
Circle O has diameter AB and chord AC.
We have to determine,
The measure of ∠CAB if BC is 62⁰.
According to the question,
The measurement of the required angle by using circle properties following all the steps given below.
The measure of the BC is 62 degrees.
If the circle has diameter AB and chord AC,
Then,
By the property of the circle,
[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]
Substitute the value of the BC in the equation,
[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]
Hence, The measure of ∠CAB is 31⁰.
For more details refer to the link given below.
https://brainly.com/question/1319201
Assume for a paired-samples t test: N= 17, Mdifference = 467.72, s = 264.50. What is the effect size statistic?
Answer:
bbbbbhbbvcgccfggfgggggggggihh
Does anyone know how to solve this?
9514 1404 393
Answer:
zeros: {-2, -1, 7}P(x) = (x +2)(x +1)(x -7)Step-by-step explanation:
Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.
We note that the sum of all coefficients is negative, so +1 is not a root.
We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).
The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...
Q(x) = x^2 -5x -14
Factoring this using any method you like gives ...
Q(x) = (x +2)(x -7)
This means the full set of zeros is {-2, -1, +7} and the factorization is ...
P(x) = (x +2)(x +1)(x -7)
_____
Additional comment
My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.
The distance between the complex numbers z1 = 7 – 2i and z2 = 3 - 3i is ________
Answer:
sqrt(17)
Step-by-step explanation:
the distance is
|(7-2i) - (3-3i)| = |4 + i|
remember, the absolute value of a complex number is
|a+bi| = sqrt(a²+b²)
in our case
sqrt(4² + 1²) = sqrt(16+1) = sqrt(17)
4x = -12? dgdgdgdgdgdg
Answer:
-3
Step-by-step explanation:
X=-12/4
X=-3
hope it helps
Answer:
-3
Step-by-step explanation:
4x= -12
4x/4 = -12/4
x = -3
You buy a family-size box of laundry detergent that contains 40 cups. , how many loads of wash can you do?
SEE IMAGE BELOW
Answer:
30 loads
Step-by-step explanation:
You simply divide 40 by 1 1/3 which gives you 30 meaning you can wash 30 loads.
Answer:
30
Step-by-step explanation:
To solve this, you want to do 40÷[tex]1\frac{1}{3}[/tex], or [tex]\frac{40}{1}[/tex]÷[tex]\frac{4}{3}[/tex], which is the same as [tex]\frac{40}{1}[/tex]×[tex]\frac{3}{4}[/tex].
This can be solved to [tex]\frac{120}{4}[/tex] and simplifies to 30.
**This content involves writing expressions from worded questions and operations with fractions, which you may wish to revise. I'm always happy to help!
Please I need help asap, I will mark the best answer as Brainliest and give 20 points. I really need this if Im going to be able to study
Answer: The new point might be is 47,8 by applying the rule to both x and y
Step-by-step explanation:
find height of cylinder given surface area and radius
Answer:
h = A/2πr - r
That's the formula. Hopefully it's understandable because I don't know any other way of typing it. You can always search it up and it'll show you. :)
smallest to biggest pls
Step-by-step explanation:
45.399,45.454,45.545,45.933
Translate this phrase into an algebraic jahauahahshshshshshshshshshshhs
Answer:
Step-by-step explanation:
Jdshdcjecjjwdjwddhwedhwedwedwehwdhw?
i think?
A custodian has 5 and 1/2 gallons of paint each of the book cases she is painting requires 1/2 gallon of paint how many book cases will the custodian be able to paint with that amount of paint A.3 B.4 C.11 D.15
Answer:
Option C.
Step-by-step explanation:
Patty's dog weighs 48 ounces. How many pounds does Patty's dog weigh?
Answer:
If Patty's dog weighs 48 ounces, and we convert ounces to pounds, our answer is 3. Patty's dog weighs 3 pounds
Step-by-step explanation:
806000 words typed in 12 hours how many words can type in 1 minute ?
Answer:It depends on how fast you write.
Step-by-step explanation:If you're a professional typist, you can probably type 75 words per minute, and maybe even more.
Answer:
1,119.44 wpm
Step-by-step explanation:
806,000 words in 12 hours; divide each value by 12 to get number of words per 60 minutes
17,166.67 word in 60 minutes; divide each value by 60 to get number of words per minute
1,119.44 words in 1 minute
What group of numbers are 1, 3, 9, 27
Answer:
Factors of 27
Step-by-step explanation:
Thus; in considering factors ,we find the numbers in which can go into the number without any remainder.
Hence, one is a factor of every number
Help me plz i can't figure this out
Answer:
C
Step-by-step explanation:
For C the y axis changes, add 5 to -3 and you get 2. Therefore 5 units away!
Hope this helps, good luck! :)