Answer:
(0.7044 ; 3.0956)
Step-by-step explanation:
Given:
GROUP A:
n1 = 25
x1 = 12.7
s1 = 2.2
GROUP B :
n2 = 25
x2 = 10.8
s2= 2.0
The obtain the confidence interval assuming unequal population variance :
(x1 - x2) ± tα/2[√(s1²/n1 + s2²/n2)]
The degree of freedom :
df = (s1²/n1 + s2²/n2)² ÷ (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1
The degree of freedom :
(2.2²/25 + 2²/25)² ÷ (2.2²/25)²/24 + (2²/25)²/24
df = 0.12503296 ÷ (0.0015617 + 0.0010666)
df = 47.57 ;
df = 48
Tcritical value ; α = 95% ; df = 48
Tcritical = 2.0106
C.I = (12.7 - 10.8) ± 2.0106[√(2.2²/25 + 2²/25)]
C.I = 1.9 ± (2.0106 * 0.5946427)
C.I = 1.9 ± 1.1955887
C. I = (0.7044 ; 3.0956)
Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards
Answer:
Step-by-step explanation:
[tex]\frac{1}{3} * \frac{5}{3} = \frac{1 * 5}{3*3} = \frac{5}{9}[/tex]
The answer is 5/9 as you can see. 5/9 = 20 inches each.
1 yard = 36 inches
(5/9 * 36) = 5 * 4 = 20 inches.
Answer:
5/9
Step-by-step explanation:
I have a trick id like to teach here. Whenever you have a fraction being divided by a whole number, you can multiply the denominator by the diviser
So what I did was multiply the 3 by the diviser(3) and got 9
This left me with 5/9
Please can u help me with this question
[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]
A part-time handyman made $8798.04 last year. If he claimed himself as an
exemption for $3650 and had a $5700 standard deduction, what was his
taxable income last year?
Answer: HIs income was $6744.04
Step-by-step explanation: 8798.04 + 3650 - 5700 = 6744.04 Hope this helps!
The taxable income last year is $552.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It from simdiffers ple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.
We have,
Last year, a part-time housekeeper earned $8798.
He claimed he was exempt, costing $365.
$570.00 is the standard deduction.
Gross income less the standard deduction and all exemptions equals taxable income.
= 8798 - 3650 - 5700
= $-552
The negative sign indicates that he owes no taxes.
learn more about compound interest here:
brainly.com/question/28020457
#SPJ7
A motorboat moves across a lake at a constant speed. When it begins, it is 28
km from the shore. After 12 minutes, it is 4 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y=-12x+28
B. y=-2x + 28
c. y = 2x+28
D. y = 12x + 28
Answer: B. y= -2x+28
Steps:
In the equation, take,"y" as result of the distance of the motorboat from the shore.
Now take the "x" value as the time taken. And hold the unit of x as 12 because you already know that in 12 minutes the motorboat is 4km far from the shore. Then solve the four equations and find out which ones value of,"y" comes 4
After doing all the equations i m pretty sure you will that B. y= -2x + 28
y= -2 * 12 + 28
y= -24+28
y= 4
Answer:
The answer is B
Step-by-step explanation:
basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
Find a coordinate on the line.
y - 5 = 8(x + 2)
Question 3 options:
(8, 2)
(2, -5)
(-2, 5)
(-5, 2)
Answer:
(-2,5)
Step-by-step explanation:
19.1 x 8.6 step by step.
Answer:
The is answer is 19.1x8.6= 164.26
Step-by-step explanation:
The sum of 7/8 of a number and 20 is 34 at minimum
Answer:
7/8x ≥ 14
Step-by-step explanation:
(sum means addition in case you forgot)
You would start by writing 7/8x + 20 ≥ 34
You would then subtract 20 from both sides to isolate the variable x.
You would then have 7/8x ≥ 14
i need help with this problem ;-;
Please helpppp quick
The table below shows the number of tadpoles in a pond after a certain number of months.
PLEASE HELP
===================================================
Explanation:
x = number of monthsy = number of tadpolesHighlight the rows that correspond to 6 months and 10 months.
This leads to the two points (6,330) and (10,460).
Apply the slope formula. This is because the slope is the average rate of change.
m = (y2-y1)/(x2-x1)
m = (460-330)/(10-6)
m = 130/4
m = 32.5
This is the average rate of change from month 6 to month 10.
Let A = 32.5 so we can compare it later.
---------------------------
Now let's focus on months 4 and 8
We get the two points (4, 300) and (8, 410)
Use the slope formula again
m = (y2-y1)/(x2-x1)
m = (410-300)/(8-4)
m = 110/4
m = 27.5
Let B = 27.5
--------------------------
For the third answer choice, we have the points (2,240) and (8,410)
Once again, use the slope formula.
m = (y2-y1)/(x2-x1)
m = (410-240)/(8-2)
m = 170/6
m = 28.33 approximately
Let C = 28.33
--------------------------
Lastly for choice D we have the points (4,300) and (10,460)
So,
m = (y2-y1)/(x2-x1)
m = (460-300)/(10-4)
m = 160/6
m = 26.67 approximately
Let D = 26.67
--------------------------
To recap everything, we found these four average rates of change for choices A through D
A = 32.5B = 27.5C = 28.33 (approximate)D = 26.67 (approximate)We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.
I need some help please
The answer is A.
A negative x a negative equals a positive so the square root of a negative value cannot be a negative value.
Your class rank in 2018 was 89 out of 360 students. In 2019 your class rank was 95 out of 450 students. a. In which year did you have the higher percentile ranking. b. If you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful – mean, median, mode? Explain
A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.
Given that your class rank in 2018 was 89 out of 360 students, while in 2019 your class rank was 95 out of 450 students, to determine A) in which year did you have the higher percentile ranking, and B) if you had the data on the cumulative GPA of each student at the end of the spring semester in 2018, which measure of average would be the most meaningful - mean, median or mode -, the following calculation should be performed:
360 = 100 89 = X 89 x 100/360 = X 24.72 = X 450 = 100 95 = X 95 x 100/450 = X 21.11 = X
Therefore, A) given that in 2019 you were among the 21.11% of the best students in the class, in that year you had the higher percentile ranking, and B) the measure of average that would be the most meaningful is the median.
Learn more about maths in https://brainly.com/question/25748895
evaluate the expression when b=3/10 and x= -2/15
3x-b
Answer:
3x - b
3 (-2/15) - 3/10
-6/15 -3/10
-60/150 - 45/150
- 105/150
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed of the stream
Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.
First, remember the relation:
Distance = Speed*Time.
Now let's define the variables we will be using:
B = boat's speedR = river's speed.When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:
54km = (B + R)*2h
When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:
57km = (B - R)*3h
Then our system of equations is:
54km = (B + R)*2h
57km = (B - R)*3h
To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:
57km = (B - R)*3h
57km/3h + R = B
19 km/h + R = B
Now we can replace that in the other equation:
54km = (B + R)*2h
54km/2h = B + R
27 km/h = B + R = (19 km/h + R) + R
Now we can solve this for R:
27 km/h = 19km/h + 2*R
27 km/h - 19km/h = 2*R
8 km/h = 2*R
(8km/h)/2 = 4km/h = R
Now that we know the value of R, we can use:
B = 19 km/h + R = 19 km/h + 4km/h = 23 km/h
So the boat's speed is 23km/h and the river's speed is 4km/h.
If you want to learn more, you can read:
https://brainly.com/question/12895249
Which expression is equivalent to 8.2 + 14 + 9x – 5?
A. 260
B. 362
C. 172 +9
D. 170 +19. HELPPPPP
Answer:
C
Step-by-step explanation:
i need a points point muna
HELPPPP PLEASE I will give brainliest and I put it up for 100 points
..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨
Answer:
2xz⁵/y⁴Step-by-step explanation:
Given expression:
[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]Simplify considering like terms:
16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵The simplified expression is:
2xz⁵/y⁴Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.
Answer:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?
Step-by-step explanation:
I HOPE THIS HELPS
How do you solve for x?
[tex] log_{6}(36) = 5x + 6[/tex]
[tex]\huge \rm༆ Answer ༄[/tex]
The value of x is ~
[tex] -0.8 [/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \sf \: log_{6}(36) = 5x + 6[/tex][tex] 2 = 5x + 6[/tex][tex]5x = 2 - 6[/tex][tex]x = - 4 \div 5[/tex][tex]x = - 0.8[/tex]I hope it helped ~
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
The value of x in the given equation is [tex]-\frac{4}{5}[/tex]
From the question,
We are to solve the given equation
The given equation is
[tex]log_{6}(36) = 5x +6[/tex]
This becomes
[tex]log_{6}(6^{2} ) = 5x +6[/tex]
From one of the laws of logarithms, we have that
[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]
and
[tex]log_{x}(x) = 1[/tex]
∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes
[tex]2log_{6}(6) = 5x +6[/tex]
and
[tex]2(1)= 5x +6[/tex]
[tex]2 = 5x +6[/tex]
Now, subtract 6 from both sides
[tex]2-6 = 5x +6-6[/tex]
[tex]-4 = 5x[/tex]
∴ [tex]x = -\frac{4}{5}[/tex]
Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]
Learn more on solving equations here: https://brainly.com/question/11802986
it took ken 2/8 hour to finish a puzzle ken told his mom how long it took with the fraction in simplest form how many hours did ken tell his mom
According to the distributive property, 6(a + b) = ma
Answer:
6a+6b=ma
?? Not 100% sure, so have someone else answer please too
How much money will you spend on these items? Round to the nearest cent.
Shopping List:
2.75 pounds of grapes.
0.8 pounds of garlic
The grapes are $0.89 per pound.
The Garlic is $0.34 per pound. Please Help
Answer:
$2.72
Step-by-step explanation:
2.74x0.89=2.4475
0.8x0.34=0.272
2.447+0.272=2.719, rounded is 2.72
Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.
Answer:
\huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂ \huge\purple{ 〇 }〇 \huge\blue{ △ }△ \huge\orange{ ☆ }☆ \huge\pink{ ☂ }☂
Answer:
Negative correlation
Step-by-step explanation:
As TV hours increase, exercise hours decrease.
Solve the exponential equation by the method of relating the bases, first rewriting the equation in the form
Answer:
x = 1/3
Step-by-step explanation:
Both bases can be written as powers of 6.
36^x = (1/6)^(x-1) . . . . . . given
(6^2)^x = (6^-1)^(x -1) . . . . . bases as powers of 6
6^(2x) = 6^(-x+1) . . . . . . . . . simplify exponents
2x = -x +1 . . . . . . . . . . . . . . . .equate exponents of the same base
3x = 1 . . . . . . . add x
x = 1/3 . . . . . divide by 3
Mrs Boswell is ordering cookies from a bakery for her daughter’s eighth grade graduation party she uses a table to figure out how many cookies to order
Answer:
I'm pretty sure the answer is B, I hope this helps!
Find the value of t for the given values of d and r. d = 286, r = 55
It is desired to pile some logs in layers so that the top layer contains one log, the next layer contains two logs, the next layer contains three logs, and so on; each layer containing one more log than the layer on top of it. There are 190 logs. Can all the log be used in such a grouping, and if so, how many logs are in the bottom layer?
Answer:
Yes all of the logs can be used in such a grouping.
We'll have 19 logs in the bottom row (and have 19 rows)
========================================================
Explanation:
Let n be the number of layers. Let T(n) represent how many logs there are total.
If you have 1 layer, then you have 1 log. So we can say that T(1) = 1.If there are n = 2 layers, then we have 1 log on top of two other logs, which leads to 1+2 = 3 logs total. This shows that T(2) = 3.If there are n = 3 layers, then we have 1 log on top of 2 which are on top of 3 at the very bottom. We have 1+2+3 = 6 logs total. So T(3) = 6.Having n = 4 layers gives 1+2+3+4 = 10 logs. So T(4) = 10Having n = 5 layers gives 1+2+3+4+5 = 15 logs. So T(5) = 15This process continues for however long you like. The sequence 1,3,6,10,15 is the set of triangular numbers, since the logs form a triangular or pyramid shape when stacked this way. To get the nth value in the triangular number sequence, use this formula
T(n) = 0.5*n*(n+1)
---------------
For example, let's say we wanted to find how many logs there were in the fifth layer
T(n) = 0.5*n*(n+1)
T(5) = 0.5*5*(5+1)
T(5) = 15
This matches from earlier.
The purpose of bringing in a formula is to see if we can get T(n) = 190 for some integer n.
-------------------
T(n) = 0.5*n*(n+1)
190 = 0.5*n*(n+1)
190*2 = n(n+1)
380 = n^2+n
0 = n^2+n-380
n^2+n-180 = 0
Applying the quadratic formula will lead to the two solutions: n = -20 and n = 19. We ignore the negative value of n as we can't have a negative number of rows. Therefore, n = 19 is the only valid solution here.
If we wanted to stack 190 logs in this triangular pyramid fashion, then we'll need to have 19 rows. The bottom row will have 19 logs.
----------
Check:
1+2+3+4+5+6+7+8+9+10 = 55
11+12+13+14+15+16+17+18+19 = 135
55+135 = 190
Or you could say,
T(n) = 0.5*n*(n+1)
T(19) = 0.5*19*(19+1)
T(19) = 190
Either way, the answer is confirmed.
It takes 10 hours to type 4 reports how many hours does it take to type 15 reports
Answer:37.5 hrs
Step-by-step explanation:
15/4 = 3.75
3.75*10=37.5
The answer is 37.5 hours
Need help asap! Pls
Here is my solution, I hope it is helpful.
Answer:
x = 15
Step-by-step explanation:
Mark each equation with the number that makes it true!
Answer:
Check step-by-step
Step-by-step explanation:
18 + s = 33 = (15)
27 = 9 • s = (3)
40 - s = 23 = (17)
5 • m = 35 = (7)
18/s = 3 = (6)
m/5 = 10 = (50)
m + 14 = 18 - m= (2)
m + m + 12 = 22 (5)
n + 7 = 18 (11)
n - 9 = 22 (31)
Have A good day! Let me know if this helps!
