Answer:
422.50
Step-by-step explanation:
just multiply 13 × 32.5=422.50
Want to choose 2 letters ,without replacement, from 5 letters
A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard deviation of 0.010 L. The machine is then moved to another location. A sample of 10 bottles filled at the new location had a mean fill volume of 2.001 L and a standard deviation of 0.012 L. It is believed that moving the machine may have changed the mean fill volume, but it is unlikely to have changed the standard deviation. Assume that both samples come from approximately normal populations and have equal variance. The 99% confidence interval for the difference between the mean fill volumes at the two locations is approximately
Required:
Find a 99% confidence interval for the difference between the mean fill volumes at the two locations.
Answer:
The 99% confidence interval for the difference between the mean fill volumes at the two locations is;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
Step-by-step explanation:
The number of bottles in the sample at the first location, n₁ = 18 bottles
The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L
The standard deviation, σ₁ = 0.010 L
The number of bottles in the sample at the second location, n₂ = 10 bottles
The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L
The standard deviation, σ₂ = 0.012 L
The nature of the variance of the two samples = Equal variance
The confidence interval of the statistics, C = 99%
The difference between the mean
[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]
(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9
∴ [tex]t_{\alpha /2}[/tex] = 3.25
Therefore, we have;
[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]
Therefore, we have the difference of the two means given as follows;
-0.1175665 L < μ₁ - μ₂ < 0.1295665 L
The type of speech used to encourage the audience to take action is
O Entertaining
O Informative
O Motivational
O Persuasive
Answer:
Motivational
Step-by-step explanation:
Can you solve it please and explain step by step how u got it ?????Please
Answer:
m<7 = 61
Step-by-step explanation:
These angles (<7, and <8) are adjacent to each other (they are next to each other), therefore they are supplementary (add up to 180).
180 - 119 = m<7
6, 2, 7, 8, 8, 8, 5, 10, 10
What is the standard deviation of the data?
2.38 first cousins
2.52 first cousins
5.65 first cousins
6.36 first cousins
Answer:
2.52
Step-by-step explanation:
On edg
Solve for a.
−10 = 1/5 a
PLZ HELP I NEED ANSWER ASAP
Answer:
-50
Step-by-step explanation:
Answer:
a = -50
Step-by-step explanation:
-10 = 1/5a
multiply both sides of the equation by 5:
a = -50
Write the decimal -0.43 as a fraction in simplest form.
Written as a fraction, the decimal -0.43 is
Consider the expression 16a + 4c.
Part B
What is the value of the expression
when a = -2 and c = -1?
I think its perpendicular but I want to be sure. Will mark brainliest!
Answer:
Its perpendicular
Step-by-step explanation:
Because the slopes are recipricles of eachother
Homework (5)
18. GEOGRAPHY In the continental United States,
the ratio of states that border an ocean to states
that do not border an ocean is 7:9. How many
of the states border an ocean?
Answer:
28
Step-by-step explanation:
Let's set the ratio as
7x : 9x
If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)
So, we can write this equation.
7x + 9x = 48
Simplify.
16x = 48
Divide both sides by 16.
x = 4
Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x
7 * x = 7 * 4 = 28
The number of states that border an ocean is 28.
I hope this helps! Feel free to ask any questions!
Who know this answer
Answer: BASE 10
Step-by-step explanation:
Round to the nearest ten- thousands place
438,105
Answer:
about 440,000
Step-by-step explanation:
Here 438,105 you can round of the 38,000as 40,000 so will get 440,000.
The length of a cut board in a sawmill should be within 2% of the board’s length. Write an absolute value inequality that describes the length L of an acceptable board with an official length of 12 feet. Solve the inequality and summarize the answer using a complete sentence.
Answer:
d
Step-by-step explanation:
Max wants to cover this rectangle with blue tiles I estimate that there would be
I have no idea. Where is the diagram.
Find the area of each. Use pi = 3.14
Answer:
452.16 inches
Step-by-step explanation:
A = pi r^2
A = 3.14 * (12)^2
A = 3.14 * 144
A = 452.16 inches
Which expression is equivalent to x2-16 ?
Answer:
Step-by-step explanation:
You should indicate which type of expression are you expecting.
But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x
How to do 264 in Expanded form
Answer:
200+60+4
Step-by-step explanation:
200+60+4=264
How many 1/2 cup servings are in 2 3/4 cups of ice cream?
Answer:
1 1/2 Servings
Step-by-step explanation:
common sense
Answer:5.5
Step-by-step explanation:
1/2*5=2 and 1/2 and 1/2 divided by 2 is 1/4 and 5 1/2+1/4=5 3/4
HELP! please explain how to solve the point of maximum growth rate for the logistic function?!?? I'm really confused!
Answer:
18 units over 210 units of time
Step-by-step explanation:
the function reaches its limit at 116 and starts at 0 at -94
|-94|+|116|=210
2) The difference of two numbers is 13. Their sum is 85. Find the numbers.
What’s the answer
Answer:
49 and 36
Step-by-step explanation:
49 - 36 = 13
49 + 36 = 85
Answer:solving we get y=6 x+y=85
x-y=13
add the equations
2x=98
x=98/2
x=49
85-49=36
the numbers are 49 and 36
Hope this helps have a awesome night/day❤️✨
Step-by-step explanation:
Write the decimal 2.06 as a mixed number.
Written as a mixed number, the decimal 2.06 is
Answer:
[tex]2\frac{3}{50}[/tex]
Step-by-step explanation:
So 2 would be your whole number
and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50
In the diagram shown , CD =7,DB=8, AE=5,m
Answer:
.
Step-by-step explanation:
Answer:
I don't understand the question
Step-by-step explanation:
can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c
Type your answer in the box.
r = 3 d = 5
Answer: 8.5
Step-by-step explanation:
I just took the quiz last week.
Tell whether the angles are adjacent or vertical. Then find the value of x
Answer:
this is the answer
Step-by-step explanation:
hope this will help you
The angles are adjacent and complementary.
Complementary means they add up to 90 degrees.
3x + 45 = 90
3x = 90 - 55
3x = 45
x = 45/3
x = 15
The value of x is 15 degrees.
help me please I've been stuck all day
The following radical equation has a solution set {x = ?} and an extraneous root x = ?.
Answer:
x=2; the extraneous root x=42.
All the details are in the attached picture, the answer is marked with red colour.
The solution set is {2, 42} & the extraneous root is 42
What is extraneous root ?
If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.
What are the roots ?Given equation is,
[tex]2+\sqrt{2x-3}=\sqrt{x+7}[/tex]
Squaring both sides we get,
[tex]2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}[/tex]
⇒ [tex]4+4\sqrt{2x-3} +2x-3=x+7\\[/tex]
⇒ [tex]4\sqrt{2x-3} =6-x[/tex]
Again, squaring both sides we get,
⇒ [tex](4\sqrt{2x-3}) ^{2} =(6-x)^{2}[/tex]
⇒ [tex]16(2x-3)=6^{2} -12x+x^{2}[/tex]
⇒ [tex]32x-48=36-12x+x^{2}[/tex]
⇒ [tex]x^{2} -44x+84=0[/tex]
⇒ [tex]x^{2} -42x-2x+84=0[/tex]
⇒ [tex](x-42)(x-2)=0[/tex]
So, x = 2 & 42
Here extraneous root is 42.
Learn more about extraneous root here :
https://brainly.com/question/658096
#SPJ2
‼️PLEASE HELP‼️
A
B
C
D
Given the two triangles shown, find the value of x
Answer: x = 150/6 = 25
Step-by-step explanation:
Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)
The value of x is (Choose...4, 11, 12, 19, 20, 25).
To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:
DE/CB = EF/BA
x/10 = 15/6
x = 150/6 = 25
The value of x in the triangle is 25
The triangle are similar.
What are similar triangles:Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.
Therefore, let's find the value x by establishing the proportion below:
ΔABC ≅ ΔFED
AB / FE = BC / ED = AC / FD
6 / 15 = 10 / x
cross multiply
6x = 150
x = 150 / 6
x = 25
learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults
Can someone please help I really need this to be correct.
Find the value of x. Pythagorean theorem and its converse