Answer:
The 90% confidence interval, C.I = (0.693, 0.7307)
Step-by-step explanation:
Catalysts 1 and catalyst 2 have the following statistical data;
Catalyst 1
The number of batches in the sample, n₁ = 12
The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85
The sample standard deviation, s₁ = 4
Catalyst 2
The number of batches in the sample, n₂ = 10
The average yield, [tex]\overline x_2[/tex] = 81
The standard deviation, s₂ = 5
F-test = s₂²/s₁² = 5²/4² = 1.5625
The degrees of freedom, df = n₁ + n₂ - 2
∴ df = 12 + 10 - 2 = 20
The critical-t at 90% confidence level = 1.725
The F-test < The critical-t, we pool the variance
The 90% confidence interval with the assumption of equal variance is given as follows;
[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48
Therefore, we get;
[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]
The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).
find the value of x in the figure.
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....The radius of a circle is 7 millimeters. What is the circle's area?
Use 3.14 for a.
square millimeters
Answer:
153.86
Step-by-step explanation:
formula - πr²
= 3.14 * 7²
= 153.86
Hello I really need help be genuine I don’t want any links ! I really need help I will make brainliest :(
Answer:
28 of the student do not snowboard
Step-by-step explanation:
I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.
Annually compoudning interest formula
PV(1+i)ⁿ
4000(1+.0775)¹⁰=8437.869021
which rounds to
$8437.87
If you were to do this on a financial calculator it would look like this:
N=10
I/Y=7.75
PV=4000
PMT=0
CMPT FV = same answer
A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a
wheel that has 10 spaces marked with the values 0, 1, 2, 5, and 10. The participant wins the dollar amount marked on
the space on which the wheel stops. Let X represent the value of a spin. The distribution of X is given in the table.
a.1 b.1.5 c.2 d.2.1
Answer:
The median of the distribution is (first option);
1
Step-by-step explanation:
The values on the given table are presented as follows;
[tex]\begin{array}{cccccc}Value \ of \ Spin&0&1&2&5&10\\Probability&0.4&0.2&0.2&0.1&0.1\end{array}[/tex]
To find the median, we calculate the cumulative probabilities to find the value of the spin art which the cumulative probability is 0.5 as follows;
Cumulative probability, starting from the left, is therefore;
Probability for spin of 0, 0.4 + Probability for spin of 1, 0.2 = 0.6
Therefore, given that the probability of 0.5 occurs within the Value of Spin 1, the median of the probability distribution is 1
The median value of the distribution of X is 1
How to determine the median?The cumulative probability of the distribution is:
[tex]\sum E(x) = 1[/tex]
The median position is calculated as:
[tex]Median = \frac{\sum E(x)}{2}[/tex]
This gives
[tex]Median = \frac{1}{2}[/tex]
Median = 0.5 th
This mean that the median is at the 0.5th position
The value of the spin at the 0.5th position is 1
Hence, the median value of the distribution of X is 1
Read more about median at:
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❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees
Answer: I need this one too
Step-by-step explanation:
Answer:
180
180 - (98 + 46)
36
Step-by-step explanation:
15 x b = 60 explanation
Answer:
x = 4
( if you need a better explanation ask me and i'll give you a different one) :)
Step-by-step explanation:
15 x b = 60
15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other
x=4
At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g. Janine bought?
O 0.509 + 2 = 15
O2g +0.50 = 15
O 0.50g - 2 = 15
O 2g -0.50 = 15
Answer:
15 = 2 + 0.5g
Total number of ticket purchase by Janine = 26
Step-by-step explanation:
Given:
Cost of water bottle = $2
Cost of each ticket = $0.50
Total amount spend by Janine = $15
Find:
Equation
Computation:
Assume;
Total number of ticket purchase by Janine = g
Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)
15 = 2 + (0.5)(g)
15 = 2 + 0.5g
0.5g = 13
g = 13 / 0.5
Total number of ticket purchase by Janine = 26
hey what's the answer ?
[tex] \sqrt[4]{256} [/tex]
(~‾▿‾)~
Answer:
4
Step-by-step explanation:
4^4 or 4 * 4 * 4 * 4 is 256.
Answer:
[tex] \sqrt[4]{256} [/tex]
[tex] \sqrt[4]{ {4}^{4} } [/tex]
=±4 is a required answer
13. A square based cuboid has a width of 4cm. If the volume of the cuboid is 400 cubic
centimeters, what is the surface area of the cuboid?
Answer:
216 cm²
Step-by-step explanation:
Applying,
V = lwh..................... Equation 1
Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.
From the question,
Since the base of the cubiod is squared,
Therefore,
w = l = 4 cm, V = 400 cm³
Substitute these values into equation 1
400 = 4×4×h
h = 400/(4×4)
h = 25 cm
A = lw+lh+wh.................. Equation 1
Where A = surface area of the cuboid.
Given: l = 4 cm. w = 4 cm, h = 25 cm
Substitute these values into equation 1
A = (4×4)+(4×25)+(4×25)
A = 16+100+100
A = 216 cm²
Naim added 30 to the number of fish Connor had in his fish tank for a total of 52 fish in the tank which equation can be used to find the original number of fish Connor had in his tank
Answer:
30+ X = 52
Step-by-step explanation:
Answer:
x+30=52
or 52-30
Step-by-step explanation:
I know 2nd grade math.
Subtract 30 from 52.
What is the midpoint of AB when A (-2, 5) and B (4, -5)?
Answer:
Answer attached
Step-by-step explanation:
Midpoint of AB = (1,0)
Let's check
midpoint of AB
(-2+4/2,5-5/2)(2/2,0/2)(1,0)Two partners starting a new restaurant and the total investment is $67,000. Their investments are in the Ratio 3:4. How much does each investor contribute?
Answer:
One investor should make ABOUT $28714.29 while the other will make about $38285.71
Step-by-step explanation:
67000 x 3/7 =28714.285...
67000 x 4/7 = 38285.714....
Please help! This is urgent what is the answer
Answer:
Your answer would be 3.4
Step-by-step explanation:
I would explain but it seems like you in a hurry for the answer so I'm just going to give you the answer hope you get a %100 on whatever your doing!!
Please mark brainly!
Answer:
Step-by-step explanation:
SOMEONE PLEASE HELP ME
Answer:
27
Step-by-step explanation:
math
Hi how’s your day ? Would you like to help me ?
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
Consider the geometric sequence 8,4,2,1,...
Answer:
Its A for the function that represents the geomertric sequence
The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?
A) 1/5
B) 1/3
C) 3
D) 5
============================================================
Explanation:
We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]
Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.
Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.
Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).
------------------------------
So far we found:
The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.
scale factor = (image length)/(preimage length)
scale factor = 3/15
scale factor = 1/5
Find the diameter and circumference
6.2 mi
PLS HELP I NEED AN ANSWER PLS
Answer:
diameter: 2.4 mi
circumference = 38.96 mi
Step-by-step explanation:
d=2r=2·6.2=12.4
C=2πr=2·π·6.2≈38.95575
Classify this triangle by its sides.
Answer:
Equilateral
Step-by-step explanation:
All angles are the same, so the sides are the same as well
Classifications:
Scalene = no sides and angles are the same to others
Equilateral = All sides and angles are congruent
Isosceles = 2 sides and 2 angles are congruent.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: equilateral
Step-by-step explanation:
An equilateral triangle is a triangle where all the sides are the same length.
How do I find the indicated value for this problem?
Answer:
t_n =a +(n-1)d
t_100 = 2+ (100-1)6
= 2+99× 6
= 2 +594
= 596
please help me
i’m so stuck
Answer:
2 cm
Step-by-step explanation:
V=πr2h = 20π
-π -π
r2h = 20
h= 5
r2(5) = 20
/5 /5
r2=4
/2 /2
r=2cm
(my work is complicated, but trust me 2 cm is the answer)
Is x=2 a solution to the equation below?
4(x-1)-3(x-2)=-8
Answer:
No
Step-by-step explanation:
To find out if 2 is a solution, replace all the x's with 2.
4(2 - 1) - 3(2 - 2) =8
4(1) - 3(0) = 8
4 - 0 = 8
4 = 8
Nope! False! 2 is not a solution.
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 5, -25, 125,
The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
The given sequence is 5, -25, 125,.......
Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.
We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].
Where, a = first term of the sequence, r= common ratio and n = number of terms.
Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get
[tex]a_n=5\times(-5)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
To learn more about the geometric sequence visit:
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What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
GIVING BRAINLIST! $ CHOSE ANY!
Answer:
36in for the 1st one
Step-by-step explanation:
Answer:
36 in- mild
Hope this helps!!
2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999?
Answer: [tex]184,724.153[/tex]
Step-by-step explanation:
Given
In 1990, there were 1200 cell phone subscriber in small town of stephenville
It is increasing by 75% per year after 1990
In year 1991 it is
[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]
In year 1992 it is
[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]
So, it is increasing as [tex]1200(1.75)^x[/tex]
where [tex]x=[/tex]no of years spent
After 9 years, it is
[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]
23.
20m + on ?
Which expression is equivalent to 54n
Answer:
Choice A, 20(3n-m)
Step-by-step explanation:
First, lets combine like terms for the question 54n - 20m + 6n,
60n - 20m.
Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.
Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.
Choice A:
20(3n-m)
60n-20m
Choice D:
20(m-3n)
20m-60m
With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.
Answer:
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n <<<<<This one
594 < -11n
Step-by-step explanation: I couldnt find my question so here is the answer if you have this on edg :))))
You are painting the root of a boathouse. You are going to place the base of a ladder 12 feet from the boathouse. How long does the ladder need to be to reach the poof of the boathouse?
Answer:
37 ft
Step-by-step explanation:
The ladder forms a right triangle as it elan's against the wall of the boat house.
Thus, the length of the ladder can be determined using Pythagorean theorem.
c² = a² + b²
c = length of ladder
a = 35 ft
b = 12 ft
Plug in the values
c² = 35² + 12²
c² = 1,225 + 144
c² = 1,369
c = √1,369
c = 37
Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft