Answer:
90% confidence interval is: ( 1.7 to 8.7 )
Step-by-step explanation:
Given the data in the question;
Method 1 Method 2
n₁ = 51 n₂ = 76
x"₁ = 81.6 x"₂ = 76.4
σ₁ = 12.24 σ₂ = 11.19
Lets get the Margin of Error(M.E)
M.E = [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )
for 90% confidence interval
∝ = 1 - 0.90 = 0.10
∝/2 = 0.10/2 = 0.05
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.05[/tex] = 1.64
so we substitute
M.E = 1.64 × √((12.24)²/51 + (11.19)²/75 )
M.E = 1.64 × √( 2.9376 + 1.669548)
M.E = 1.64 × √( 2.9376 + 1.669548)
M.E = 3.52
so, for 90% confidence interval for x"₁ - x"₂ will be;
C.I = x"₁ - x"₂ ± [tex]Z_{\alpha /2[/tex] √(σ₁²/n₁ + σ₂²/n₂ )
= 81.6 - 76.4 ± M.E
= 81.6 - 76.4 ± 3.52
= 5.2 ± 3.52
Lower Limit = 5.2 - 3.52 = 1.68 ≈ 1.7
Upper Limit = 5.2 + 3.52 = 8.72 ≈ 8.7
Therefore; 90% confidence interval is: ( 1.7 to 8.7 )
paulette has arrived at cape horn. there are five penguins waiting to cross over to antarctica. jim goes before john but after joe. jim returns, fetches his wallet and follows the others. in which order will the penguins arrive?
Well, this is a guess. Jim goes before john, but after joe. So Jim is second. John is third, so that leaved Joe.
Joe, Jim, John. But I don't know about the other 2.
---
sorry if this doesn't help
Can anyone solo be this?
Answer:
x = 10
Step-by-step explanation:
Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value). Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.
Answer:
x=10
Step-by-step explanation:
Hey There!
Those are a pair of vertical angles
Therefore they are congruent
congruent meaning identical in form
So we would setup and equation and because the angles are congruent the equation would be
12x=10x+20 and solve for x
Step 1 subtract 10x from each side
10x-10x cancels out
12x-10x=2x
now we have
2x=20
Step 2 divide each side by 2
2/2 cancels out
20/2=10
Therefore x=10
What is the area of this circle?
Answer:
area = 28.26 in²
Step-by-step explanation:
area = 3²(π) = 9(3.14) = 28.26 in²
Answer:
28.27 in^2
Step-by-step explanation:
Area of a circle = pi*r^2
pi*9=28.27
What percentage of a dollar is the value of each coin combination
1. 4 dimes
2. 1 nickel and 3 pennies
3. 5 quarters and 1 dime
Answer:
1) 40%
2) 8%
3) 160%
Step-by-step explanation:
1) a dime is 10 cents. 10+10+10+10 = 40
.40/1.00 = 0.4 move the decimal to places to the right to turn into a percentage. 40%
2) 1 nickel is 0.05 cents and 3 pennies equal 0.03 cents. 0.05+0.03= 0.08 0.08/1.00=0.08
move the decimal to places to the right to turn into a percentage. = 8%
3) a quarter is 0.25 cents and a dime is 0.10 cents.
6 quarters = 0.25+0.25+0.25+0.25+0.25+0.25= 1.50
1.50 + 0.10= 1.60
1.60/1.00= 1.60 move the decimal to places to the right to turn into a percentage 160%
I need help if you can help me I would really appreciate it
Answer:
A. f(x) = −2|x| + 1
Step-by-step explanation:
What is the slope of a line perpendicular to the line who’s equation is x-y=5 fully reduce your answer
Answer:
-1
Step-by-step explanation:
Use the slope intercept formula(y=mx+b) to find the slope of a line.
First, you will want to put everything into it's proper order, so you will get -y=-x+5.
You cannot have a negative y, so divide everything by -1 and you will get y=x-5.
1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..
The reciprocal of 1 is -1. -1 is the slope of the perpendicular line
suppose a graph shows that Jenny started with $3 and saved $2 each day. What would point (5,13) represent?
Answer:
5 is the amount of days shes been saving for
13 would be the total money she has now
Step-by-step explanation:
Days / Money saved
0 / 3
1 / 5
2 / 7
3 / 9
4 / 11
5 / 13
Q1a. A bag contains 8 red, 10 pink, 6 purple, 5 green, and 11 blue jolly
ranchers. What is the probability of selecting a green jolly rancher,
P(green)?
Answer:p=8
Step-by-step explanation:
Add them all and divide by 5.
Solve the equation.
t-12=3
Answer:
t = 15
Step-by-step explanation:
t - 12 = 3
t = 3 + 12
t = 15
solve for x. im pretty confused on how to do this i thought it was 60 but i was wrong
Answer: x = 12
Step-by-step explanation:
You're on the right track! You're right in saying that each angle has to be 60 degrees since they're supposed to add up to 180. However, the question is asking what x equals, so we set up the equation:
5x = 60
x = 12
What is the sum of the interior angles of the polygon below?
A polygon with 5 sides.
°
Answer:
just draw a diagonal of the figure and you note it turns into two triangles.
hence sum = 2 × 180= 360 degree
Hi 2+2=? Lllalalalala aplalalaalallala Latakia,Lana,
Answer:
2+2= 4
Step-by-step explanation:
QUICK MATHS
PLEASE HELP ME ITS WORTH 25 pts (question number 29)
Answer:
A, C, D
Step-by-step explanation:
In a proportional relationship, y = kx, k is the constant of proportionality.
A)
4y = x
y = 1/4 x
k = 1/4 Yes
B)
y = 4x
k = 4 No
C)
32y = 8x
y = 8/32 x
y = 1/4 x
k = 1/4 Yes
D)
y = 0.25x
k = 0.25 = 1/4 Yes
E)
1/4 y = 2x
y = 4 * 2x
y = 8x
k = 8 No
Answer: A, C, D
The table shows the number of blue marbles and red marbles that four friends have collected,
Blue and Red Marbles
Blue Red
Jasmine 12
10
Aaron
3
2
Lucian
10
10
Gretchen 14
2
Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen
Answer:
C
Step-by-step explanation:
How do you solve this and what is the answer?
Answer:
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
since we know ABC = 30° we can solve for AOC with a bit of Algebra
30 = 1/2 AOC
60 ° = AOC
:) does it make sense?
the formula about is for inscribed angles , that is an angle that touches the outside of the circle and then goes through the other side. :) Like ∠ABC
Y= 1/2x + 3
Y= 5
Can you please explain in steps?
Thank you in advance
Answer: x=4
For this equation, you are solving for x. So first you want to get the 1/2x on a side by its self to make it easier to solve. So to do that subtract both sides by 3. (2=1/2x) Once you do that multiply both sides by 2 to get rid of the 1/2 so x is on one side by itself. (4=x) And that's your answer!
Hope this helped you!
Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enrolled in. The students collect a random sample of 45 students. The mean of the sample is 12.1 units. The sample has a standard deviation of 1.5 units. What is the 95% confidence interval for the average number of units that students in their college are enrolled in
The 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.
Here,
To calculate the 95% confidence interval for the average number of units that students in their college are enrolled in, we can use the formula for a confidence interval for a population mean when the population standard deviation is unknown but can be estimated using the sample standard deviation.
The formula for the confidence interval is given by:
Confidence Interval = Sample Mean ± (Critical Value) * (Standard Error)
where:
Sample Mean (x) is the mean of the sample (12.1 units in this case).
Critical Value is the value from the t-distribution corresponding to the desired confidence level and the sample size.
For a 95% confidence level and a sample size of 45, the critical value is approximately 2.013 (you can look this up in a t-table or use a calculator).
Standard Error is the standard deviation of the sample mean, which is calculated as the sample standard deviation divided by the square root of the sample size.
Given the information in the problem:
Sample Mean (x) = 12.1 units
Sample Standard Deviation (s) = 1.5 units
Sample Size (n) = 45
Confidence Level = 95%
Critical Value ≈ 2.013
Now, let's calculate the standard error:
Standard Error = s / √n
Standard Error = 1.5 / √45 ≈ 0.2236
Now, calculate the confidence interval:
Lower bound of the confidence interval:
12.1 - (2.013 * 0.2236) ≈ 11.66
Upper bound of the confidence interval:
12.1 + (2.013 * 0.2236) ≈ 12.54
So, the 95% confidence interval for the average number of units that students in their college are enrolled in is approximately 11.66 to 12.54 units. This means that we are 95% confident that the true population mean lies within this interval.
Learn more about confidence interval here:
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A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?
Answer:
Step-by-step explanation:
water:cleaner = 12:1.5 = 8:1
Answer:
15 cups ??? i dont know tho pay attention in class
Step-by-step explanation:
.....
Select all the properties of a right triangle.
Group of answer choices
Has a right angle
Has one obtuse angle
Has perpendicular lines
Has three acute angles
Answer:
aaaaa
Step-by-step expaalanation:
aa
Answer:
It should be answers one and three
Solve the equation:
4+6k=4
Select one:
k=−20
k=20
k=0
k=12
Answer:
[tex]k = 0[/tex]
Step-by-step explanation:1) Cancle 4 on both sides.
[tex]6k = 0[/tex]
2) Divide both sides by 6.
[tex]k = 0[/tex]
Therefor, the answer is option C.
How do I solve this
Answer:
Step-by-step explanation:
I would help but I can't see the numbers correctly so I can not help.
O
.
Suppose that you want to save money and would like to find a savings option that earns you the most
money in interest. You have $1000 to put towards savings. After surveying several banks for savings
plans, you found these options. "A" represents the amount you will have in the bank after x years.
Option A: Your money would receive simple interest at the end of 5 years.
The formula is: A = 1000 + 1000(0.05)x
Option B: Your money will be compounded continuously.
The formula is: A = 1000(2.71828)(0.05x)
Option C: You will invest in a CD (Certificate of Deposit) compounded yearly.
o The formula is: A = 1000(1.05)*
Option D: You buy a US Savings Bond.
The savings bond costs $1000 now. When cashed in 5 years later, the amount will be
$1267. You must leave the money in the savings bond for 5 years to earn any interest.
But, you do not receive any additional interest if you leave it in longer than 5 years.
O
1. Each option represents a function. State the type of function (linear, exponential, or "other")
described by each of the options. Explain your answers. (2 points)
2. Determine the value of each option at the end of 5 years. (2 points each; 8 points total)
Option A
Option B
Option
Option D
A private plane traveled from Seattle to a rugged wilderness, at an average speed of 132 mph. On the return trip, the average speed was 110 mph. If the total traveling time was 6 hours, how far is Seattle from the wilderness?
Answer:
Brainliest PLEASE!
Step-by-step explanation:
a = seattle
b = wilderness
t = time traveling at 132 mph
(4-t) = time traveling at 110 mph
distance traveled at 132 mph = 132(t)
distance traveled at 110 mph = 110(4-t)
but the two distances are equal so:
132t = 110(4-t), solving for t
t = 1.82 hrs
d= 1.82 hrs * 132 m/hr = 240 miles
The area of the triangle below is 2/5 square meters. What is the length of the base Express your answer as a fraction in simplest form.
3/5 m is the height
Let's set the base of the triangle to x.
(x* 3/5) / 2= 2/5
Now just solve
x*3/5=4/5
x=4/3
The base has length 4/3
Hope it helped!
The length of the base is 4/3 meters.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The area of a triangle is given by the formula:
A = (1/2)bh
where A is the area, b is the base length, and h is the height.
We are given that the area of the triangle is 2/5 square meters and the height is 3/5 meters.
Plugging these values into the formula, we get:
2/5 = (1/2)bh
b = (2/5) / [(1/2)(3/5)]
b = (2/5) / (3/10)
b = (2/5) * (10/3)
b = 4/3
Therefore,
The length of the base is 4/3 meters.
Learn more about triangles here:
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Please help I have no clue lol
Answer:
x=12
y=44
z=25
Step-by-step explanation:
Since it's an equilateral triangle, all 3 angles have to equal 60.
5x=60
x=12
y+16=60
y=44
3z-15=60
3z=75
z=25
To start factoring 2x2 - 5x - 3, we need to find two numbers whose sum (p + q) equals -5 and whose
product (p.q) equals
What value belongs in the blank?
Answer:
-6
Step-by-step explanation:
First we need to factorize the given expression
2x^2 - 5x - 3,
2x^2 - 6x+x - 3
The two number that we are going to use to split -5x are -6 and 1
Hence the required two numbers are -6 and 1
Let p = -6
Let q = 1
Taking their sump+q = -6 + 1 = -5
Take the product
p*q = -6 * 1
p*q = -6
hence the product is equal to -6
At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If the total number of people attending the game was 600, how many people attending were supporters of the home team?
Answer:
552 supporters of the home team.
Step-by-step explanation:
92% × 600 = 552
Answer:
552
Step-by-step explanation:
92% divided by 100= .92
600x.92+552
What is x?
x/8 + 6 = 4
x=_?
Answer:x=-16
Step-by-step explanation:
Subtract 6 from both sides
x/8=-2
Multiply the number by 8 on both sides to get x by itself
x=-16
Hope you are having a good day and if you could, brainliest would be nice
pls help me answer this !!
We want our exponential function to look like
y = ab^x.
Let a = the initial y-value.
Our initial value is the first number given for f(x). So, a = 3.
Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.
We find b by division.
So, b = the next number divided by the previous.
So, b = 6/3 = 2.
We now plug in our values into the general formula above.
y = ab^x
Answer: y = (3)(2)^x
write an equation for a line with slope of 1/4 passing through -1,-5 in slope intercept form
Answer:
y = 1/4x - 19/4
Step-by-step explanation:
Use the equation y = mx +b
x (x coordinate) = -1
y (y coordinate) = -5
slope (m) = 1/4
Plug in!
-5 = 1/4(-1) + b
-5 = -1/4 + b
-5 + 1/4 = b (Add 1/4 to both sides)
-20/4 + 1/4 = b
-19/4 = b
y = 1/4x - 19/4