Answer:
204
Step-by-step explanation:
I mean logical right lol
Given two independent random samples with the following results:n1=13x‾1=186s1=33 n2=13x‾2=171s2=23Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Complete Question
Given two independent random samples with the following results:
[tex]n_2=13\ , \= x_2=171\ s_1=23[/tex]
Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.
Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.
Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.
Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest whole number.
Answer:
Step 1 of 3:
[tex]\= x_p = 15[/tex]
Step 2 of 3:
[tex]E =7.79[/tex]
Step 3 of 3:
[tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]
Step-by-step explanation:
Now considering the Step 1 of 3, the point estimate that should be used in constructing the confidence interval is mathematically represented as
[tex]\= x_p = \= x_1 - \= x_2[/tex]
=> [tex]\= x_p = 186 - 171[/tex]
=> [tex]\= x_p = 15[/tex]
Now considering the Step 2 of 3
Given that the confidence level is 90% then the level of significance is mathematically represented as
[tex]\alpha = (100-90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
=> [tex]df = 13 + 13 - 2[/tex]
=> [tex]df = 24[/tex]
From the student t-distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 24 \ is \ \ t_{\frac{\alpha }{2} ,df} = 1.711[/tex]
Generally the pooled variance is mathematically represented as
[tex]s_p^2 = \frac{ (13 -1 ) 33^2 + (13 -1 ) 23^2 }{(13 - 1 )(13 - 1)}[/tex]
[tex]s_p^2 = 134.83 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} ,df } * \sqrt{\frac{s_p^2}{n_1} +\frac{s_p^2}{n_2} }[/tex]
=> [tex]E = 1.711* \sqrt{\frac{134.83}{13} +\frac{134.83}{13}}[/tex]
=> [tex]E =7.79[/tex]
Now considering the Step 3 of 3
Generally the 90% confidence interval is mathematically represented as
[tex]\= x_p -E < \mu_1 - \mu_2 < \= x_p +E[/tex]
=> [tex] 15 -7.79 < \mu_1 - \mu_2 < 15 +7.79[/tex]
=> [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]
13. Emily has h + 15 minutes of homework tonight. Evaluate when h= 20.
Answer: 35 minutes
Step-by-step explanation:
Since we are given the value of h, we can plug that into the equation and solve.
20+15 [add]
35
Now, we know that it is 35 minutes.
If 15 books cost $90, what is the unit price?
Answer:
$6/ book
Step-by-step explanation:
Unit price = Total cost/ total number of items
= 90/15
=$6 per book
Find the value of n so that the line perpendicular to y = (-1/4)x-1 passes through the points (n, 3) and (4,11).
Answer:
2
Step-by-step explanation:
You'll need to find the reciprocal of m. -1/4 is your is your m and when you find the reciprocal you flip the number to 4/1 or 4 and change the negative to a positive. Then graph (4,11), you don't need to worry about your y intercept, b, or -1. On your graph go down 4 and over one to the left because it's positive the line should be going like " / " <-- that. Keep going down until your y is three and whatever your x is, is your answer. Ex: (4,11) (3,7) (2,3). Hopefully, you understand :)
Identities in maths 4sin30°cos45° What is the answer?
Answer:
[tex]4*1/2*\sqrt{2} /2=\sqrt{2}[/tex]
Step-by-step explanation:
two angles of a triangle are 98 degrees and 50 degrees what is the third angle
Answer:
32 degrees.
Step-by-step explanation:
The three angles in a triangle always add up to 180 degrees.
To find the third angle, [tex]180-50-98=32[/tex].
Solve the formula C = πd for d
Answer:
[tex]d = \frac{C}{\pi}[/tex]
Step-by-step explanation:
[tex]C= \pi d\\[/tex]
Isolate d ; Divide both sides of the equation by [tex]\pi[/tex]
[tex]\frac{C}{\pi} = \frac{\pi d}{\pi }[/tex]
Simplify
[tex]\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}[/tex]
Note; Another formula for d(diameter) =
[tex]2\times radius[/tex]
Find the inverse.
f(x) = 3x+28
Set [tex]y = f^{-1}(x)[/tex] and [tex]f(y) = x[/tex]
Interchange the variables [tex]x[/tex] and [tex]y[/tex]
[tex]3y + 28 = x\\3y = x - 28\\y = \frac{x - 28}{3} \\\\f^{-1}(x) = \frac{x - 28}{3}[/tex]
.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.
Answer: Please find the attached file for the graph and find the answer in the explanation
Step-by-step explanation:
Let first calculate the normal time each of them will reach the 92 feet distance.
For senn
Time = 92/5 = 18.4 minutes
That means in 18.4 minutes the two other friends must reach the point at 92 feet.
Calculate the distance at the time for each of the friends.
For Ms Lady
Time = 92/4 = 23 minutes
Distance = speed × time
Distance = 4 × 18.4 = 73.9
92 - 73.6 = 18.4 feet
For Ms Beetle
Time = 92/2.5 = 36.8 minutes
Distance = 2.5 × 18.4
Distance = 46 feet
92 - 46 = 48 feet
Therefore, Senn must give a head start of 18.4 feet for Ms Lady
And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).
Their equation will be
Ms Lady
Y = 4x + 18.4
Ms Beetle
Y = 2.5x + 48
Ms Senn
Y = 5x
Answer:
Chips are good!
Step-by-step explanation:
Max has the 14 stickers shown
at the right. He wants to put an
equal number of stickers on each
of 2 posters. Draw circles in each
box to represent the stickers Max
puts on each poster.
Answer:
7 Stickers on Each Poster
Step-by-step explanation:
Max has 14 stickers, and 2 posters. You have to divide 14 by 2. Or, put one sticker in each box until you run out of stickers. Eventually, you'll end up with 7 stickers in each poster.
A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?
It is 28 feet far above form the ground.
1225=441+B^2
1225-441=B^2
784=B^2
√784=√B^2
28=B
B=28 feet
What is the greatest common factor of 80 and 16?
Answer:
16
Step-by-step explanation:
did the calculation
Answer:
Therefore the highest common factor of 80 and 16 = 8
What number is 40% of 30?
Input only whole numbers.
Numerical Answers Expected!
Answer for Blank 1:
Answer:
12
Step-by-step explanation:
40/100*30
=12
Answer:
12..
Step-by-step explanation:
off topic but broski i think we're in the same school program?
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answer:
21:00 AST
Step-by-step explanation:
10:00 uk time
Australia time is 11 hours ahead of UK time then
10:00 + 11 hours
21:00 AUSTRALIA TIME
OR 9:00 PM Australia time
Two similar triangles are shown below: Two triangles are shown. The sides of the triangle on the left are marked 6, 4, 3. The sides of the triangle on the right are marked as 3, 2 and 1.5. For the triangle on the left, the angle between sides marked 4 and 6 is labeled as w, marked by a double arc, and the angle between the sides marked 6 and 3 is labeled as x, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 3 and 1.5 is labeled as y and the angle between the sides marked 2 and 3 is labeled as v, marked by a double arc. The angle between the sides 2 and 1.5 is labeled as z, marked by a triple arc, and it is also the angle on the top vertex of this triangle. Which two sets of angles are corresponding angles? (4 points) a ∠w and ∠v; ∠x and ∠y b ∠w and ∠y; ∠x and ∠v c ∠w and ∠z; ∠x and ∠v d ∠w and ∠z; ∠x and ∠y
Answer:
a. ∠w and ∠v; ∠x and ∠yStep-by-step explanation:
We can see that the scale factor is 2
Corresponding sides have length of:
6 and 3; 4 and 2; 3 and 1.5Therefore corresponding angles, opposite to corresponding sides are:
∠x and ∠y; ∠w and ∠vCorrect answer option:
a. ∠w and ∠v; ∠x and ∠yAnswer:
His answer is correct!
Step-by-step explanation:
Got it right
What is the distance between the following points?
Y
7
10-
9+
8+
7+
6+
5+
4+
3 |
2+
1+
+++++++
1 2 3 4 5 6 7
A++
-3-2
Answer:
+1 is the distanse of the following point
HELP ME!!!!! Solve for X
Answer:
1. x=6, 2. x=14 3. x= -2, and 4. x=6.5
Step-by-step explanation:
1. 120=20x, x=6.
2. 47=2x+19, x=14
3. 4x+3=2x-1, x= -2
4. 3x+4+7x+11=180, x=6.5
What number multiplied by itself 3 times equals 10
Answer:
2.1544
Step-by-step explanation:
[tex]\sqrt[3]{10}[/tex] = 2.1544
check: 2.1544^3
Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Anthony made a total of $80 in commission and sold 5 more accessories than phones. Graphically solve a system of equations in order to determine the number of phones sold, x,x, and the number of accessories sold, yy.
Answer:
There were 5 phones sold and 10 accessories sold.
Step-by-step explanation:
the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?
Answer:
9.
Step-by-step explanation:
I am assuming that the two numbers are positive.
Let the numbers be 3x and 7x.
Then 3x * 7x = 19
21x^2 = 189
x^2 = 9
x = 3.
So the smaller of these numbers is 3*3 = 9.
Answer:
9 if that does not work try - 21
Step-by-step explanation:
Let the two numbers be x and y
x/y = 3/7 which means that x is the smaller number.
x*y = 189
Cross multiply the top equation
7x = 3y
Divide by 7
x = 3/7 ^ y
x*y = 189
(3/7 y) * y = 189
Multiply by 7
3y^2 = 189*7
3y^2 = 1323
Divide by 3
y^2 = 441
Take the square root of both sides
y = 21
The question is a bit ambiguous. You could use - 9 and - 21 in which case the smallest number is -21. I think they intend 9 however.
x = 3/7 * 21
x = 3*3
x = 9
Check
x*y = 9 * 21 = 189
Find the probability for one roll of a number cube.
P(number is not 5)
A. 0
B. 5/6
C. 1/6
D. 1
Answer:
for 5 probability is 1/6
for not a five = 1-1/6 = 5/6
Step-by-step explanation:
Which expression is equivalent to 9+9x+9y?
Answer:
9(1 + x + y)
Step-by-step explanation:
[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]
Solve
- 2 + 3x + 24 = x
Answer:
x=-1
Step-by-step explanation:
thank me later it correct did the workhope this works
Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?
Answer:
17
Step-by-step explanation:
Answer:
22-5=17 the answer is 17
The sum of prime number
less than x is 58
find an integer value for x
Answer:
58
Step-by-step explanation:
Prime Numbers = 2+3+5+7+11+13+17
= 58
please help me solve it
Answer:
I SUGHESTED THE ANSWER IS AWhat is the degree of the polynomial −6x3y2+5x4−7z?
Answer:
4
Step-by-step explanation:
The degree of a polynomial is a coefficient with the highest power. In the polynomial given, the highest degree (power) is 4.
Best of Luck!
A. B. 4 x +1 x+4 =−3 =−12 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
D. Multiply/divide both sides by the same non-zero constant
A. Yes
Just Did It On Khan Academy
Step-by-step explanation:
A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt. P (X equals k )equals (1 minus p )to the power of k minus 1 end exponent p Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt
This question is incomplete, the complete question is;
A basketball player has a 60% accuracy rate for making free throws. During practice, this player fails to make a free throw three times in a row, but is finally successful on the fourth attempt.
p(x=k) = p^k (1-p)^k-1
Using the geometric distribution formula, what is the probability of this player successfully making a free throw on the fourth attempt? Each attempt is independent of each other and answer choices are rounded to the hundredths place.
a.) 0.04
b.) 0.60
c.) 0.40
d.) 0.10
Answer: a.) 0.04
Step-by-step explanation:
Given that;
The basketball player has 60% accuracy of free throws
Now the probability of the player successfully making a free throw on the fourth attempt.
probability of success p = 0.60
number of failure k = 3
the given p.d.f of geometric distribution p(x=k) = p^k (1-p)^k-1
{ 0 <p<= 1 , k=0,1,2,3... }
we substitute our given data
p(x=3) = 0.60^3 (1-0.6)^3-1
= (0.60)^3 (0.40)^2
= 0.216 * 0.16
= 0.035 = 0.04 ( OPTION A)
Given f(x)=10(3−x)+6, what is the value of f(−1)?
Answer: 46
Step-by-step explanation:
10 (3 +1) + 6
30 + 10 + 6
46