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).
What is the 8th term of the sequence 1, 3, 9, 27, 81,... .
9514 1404 393
Answer:
2187
Step-by-step explanation:
This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...
an = a1·r^(n-1)
an = 3^(n-1)
Then the 8th term is ...
a8 = 3^(8-1) = 2187
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
Select all the statements that are true in all cases.
The expressions x + x and x2 are equal. The expressions x + x and 2x are equal. The expressions (x) (x) and x2 are equal. The expressions (x) (x) and 2x are equal.
Answer:
The expressions x + x and 2x are equal.
[tex]the \: expressions \: (x)(x) \: and \: {x}^{2} \: are \: equal[/tex]
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
Help me find the numbers for the function table
Answer:
0,4,7
Step-by-step explanation:
you take the input number like 8 subtract it by 4 to get the output
Answer:
'x-4' are 4-4; 8-4; 11-4
Outputs are 0, 4, 7
Step-by-step explanation:
'x - 4' for:
4 = 4-4 = 0
8 = 8-4 = 4
11 = 11-4 = 7
∴ Outputs are 0, 4, 7
Will mark brainliest!
Find the Volume of the Sphere. Use 3.14 for pi. Round your answer to the nearest whole number.
Answer:
It is 14130 mm^3
Step-by-step explanation:
So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:
(4/3) (3.14) r^3
(4/3) (3.14) 15^3
(4/3) (3.14) 3375
(4/3) (10597.5)
14130 mm^3
If someone helps me ill give them brainlest
Answer:
x+51+80+60=180
x+191. =180
x=180-191
x=-11
I need help please :)
Answer:
4th option
10x + 32 / x(x+8)
Step-by-step explanation:
1.4 litres of a liquid has a mass of 1,526 g.
Find the density of the liquid in kg/m3
Answer:
Step-by-step explanation:
Given data:
Mass of the liquid ( m ) = 550 kg
Volume of the liquid ( v ) = 680 litre
= 680*10-3 m3
= 0.68 m3
Now, Density of the liquid = (m/v)
= (550 kg )/(0.68 m3)
= 809 kg/m3
The density of the liquid is 1,090 kilograms per cubic meter.
What is density?The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,
D = m / v
First, convert the volume into cubic meters. Then we have
⇒ 1.4 x 0.001
⇒ 0.0014 m³
The density of the liquid is calculated as,
Density = (mass ÷ volume)
Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000
Density = 1,090 kg/m³
Therefore, the density of the liquid is 1,090 kg/m³.
More about the density link is given below.
https://brainly.com/question/15164682
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find a rational number between 8 and 9
1. Tra is going to order a pizza from a local pizza parlor. She will choose 1 crust, 1 sauce, 1 topping and 1
cheese for her pizza. She can choose from 4 types of crust, 4 types of sauce, 12 different toppings and 6
different cheeses to make her pizza. If Ira wants either tomato sauce or garlic sauce on her pizza, how many
different pizza's can Ira make?
Answer:
ira can make 4 pizzas
Step-by-step explanation:
Please help,
Find the perimeter of the figure to the nearest hundredth
Answer:
36.56 in
Step-by-step explanation:
perimeter is the sum of all sides
u add all the sides of the square by 6
6+ 6 + 6 + 6 = 24
circumference is the line around the circle
circumference = 3.14 x diameter
c = 3.14 x 4
c = 12.56
24 + 12.56 = 36.56
to the NEAREST HUNDREDTH????? ok welll thats alr
remember
5 or more, raise the score
4 or less, let it rest
this should be fine since the last 6 is alr in the hundredth place :)
like this up !!
Evaluate the expression 4^x/2^x for x=3
Answer:
[tex]\frac{64}{2^3}[/tex]
Step-by-step explanation:
[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]
Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?
Answer:
224 student ride the bus to school each day.
Step-by-step explanation:
find the slope of the line please help
Answer:
1/2 is the slope
Step-by-step explanation:
How do I graph this?
Answer:
I would suggest plugging a formula into desmos. De smos graphs are perfect for an scenario as long as you have x and y intercepts. If you dont, Matha way can find that for you
Step-by-step explanation:
Answer:
I suggest using an online grid or drawing a grid and plotting on that
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Question 1
Answer: C) First and last term
----------------
Explanation:
Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.
The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.
=========================================================
Question 2
Answers:
Root of the first term = 9vRoot of the last term = 10----------------
Explanation:
Apply the square root to the first term to get
sqrt(81v^2) = sqrt( (9v)^2 ) = 9v
Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.
Similarly, the square root of the last term is
sqrt(100) = sqrt(10^2) = 10
So that's why the answers are 9v and 10 for the blanks.
We can say:
(a+b)^2 = a^2 + 2ab + b^2
(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2
(9v+10)^2 = 81v^2 + 180v + 100
Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200
Answer:
680 sales
Step-by-step explanation:
20% of 680 is 136.
So her 64 for a week plus the 136 from sales is 200.
Hope this helps
Brainliest would be appreciated
How do I solve this problem?
Step-by-step explanation:
Solution:
Given,
t1( first term ) a = -15
t2( second term ) b = -9
CD(Common Difference) = ?
We know,
CD = b - a
= -9 - ( - 15 )
= -9 + 15
= 6
Now,
t1 = -15
t2 = -9
t3 = -3
t4 = 3
t5 = a + ( n - 1 )CD
= -15 + ( 5 - 1 ) 6
= -15 + 24
= 9
t50 = a + (n - 1 ) CD
= -15 + ( 50 - 1 ) CD
= -15 + 49 × 6
= -15 + 284
= 269
So the sum of t50 is 269.
which value is not equivalent to the other's
Answer:
The one that is not equivalent to the others is:
2 + 2 + 2 + 2 + 2
Step-by-step explanation:
this is because all of the other ones are equal to 32. This one equals to 10.
What was the estimated population population of Rhode Island in 1760?
Answer:
D. 45,000
Hope this helps :)
Bab in need of help ☹️
Answer:
100 π
Explanation:
Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.
First, half the 20m to 10m since the radius is 1/2 of the diameter.
Next, plug this into the formula to get the answer:
π 10^2
π 100
100 π is the answer, since it is looking for it in terms of π.
Answer:
A≈314.16m²
Step-by-step explanation:
I cant write it down lol, I promise its right! :)
If L1 ∥ L2 , and L3 ∥ L4 , what is the measure of ∠1? Please help me
Answer:
m<1 = 29
Step-by-step explanation:
All angles of a triangle equal 180:
<1 = x
Equation:
x + 90 + 61 = 180
x + 151 = 180
x = 180 - 151
x = 29
Find the value of x. (I'll mark brainlest!!!)
Answer:
The answer is B
Step-by-step explanation:
Answer:
you can use law of sines
Plug in the values (lol sorry i dont have time)
x / sin(angle) = y / sin(angle)
Where x and y are separate sides.
Hope this Helps! :3
Solve the linear inequality below.
9x – 8 > 4x + 7
Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
9x-4x>7+8
5x > 15
X >3
So the answer is x >3
1.99 divided by 3 to the nearest cent.
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
3/4+ (1/3 ➗1/6)- (-1/2)=___
1 3/4
2 1/4
3/4
3 1/4
STEP 1: (1/3 : 1/6) = 2/1 = 2
STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75
STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375
(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2
(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4
(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4
Therefor your answer is A 13/4 OR 1 and 3/4: )
Hope this helps!
Sorry for all the steps but those steps will help you!
-Hailey: )
(nothing is copied or pasted!!!!!)
Find the surface area of the composite figure.
SA = [ ? ] cm^2
write the formula for translation at enivorgement
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Review the graph function. Which statement describes whether the extreme value theorem applies?
Answer:
D :)
Step-by-step explanation:
The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.
A graph has shown in the image, It is to determine whether the extreme value theorem applies.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.
Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.
Learn more about graphs here:
brainly.com/question/16608196
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