Answer:
158 liters.
Step-by-step explanation:
G=gallons
L=Liters
Q=Quarts
42G * 4Q = 168Q
1Q = 3.785L
3.785L * 42G = 158L or another way is to go by the formula is by dividing the volume value by 1.057:
168Q divide by 1.057 = 158
Write an recursive formula for An, the nth term of the sequence
5, -2, -9,
Given:
The given sequence is:
[tex]5,-2,-9,...[/tex]
To find:
The recursive formula for [tex]a_n[/tex], the nth term of the sequence.
Solution:
We have,
[tex]5,-2,-9,...[/tex]
Here, the first term is 5.
[tex]-2-5=-7[/tex]
[tex]-9-(-2)=-9+2[/tex]
[tex]-9-(-2)=-7[/tex]
The common difference is -7.
The recursive formula for the nth term of the sequence is
[tex]a_n=a_{n-1}+d[/tex]
Where, [tex]d[/tex] is the common difference.
Putting [tex]d=-7[/tex] in the above formula, we get
[tex]a_n=a_{n-1}+(-7)[/tex]
[tex]a_n=a_{n-1}-7[/tex]
Therefore, the recursive formula for the nth term of the sequence is [tex]a_n=a_{n-1}-7[/tex].
f(x)=(-3^x+12)-2 what is the domain, range, x and y intercepts and vertical and horizontal asymptotes.
1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?
Answer:
(69.708 ; 74.292) ; 78% ; 350 ;
H0 : μ = 72
H0 : μ > 72
Pvalue = 0.8897
there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Step-by-step explanation:
99.5% confidence level, = 2.807
Sample size, n = 150
xbar = 72
Standard deviation, s = 10
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 2.807 * 10/sqrt(150)
Margin of Error = 2.292
Lower boundary = 72 - 2.292 = 69.708
Upper boundary = 72 + 2.292 = 74.292
(69.708 ; 74.292)
B.)
Confidence level of the interval (71, 73)
(72 - 71 ) or (73 - 72)
Margin of Error = 1
Margin of Error = Zcritical * s/sqrt(n)
1 = Zcritical * 10/sqrt(150)
1 = Zcritical * 0.8164965
Zcritical = 1 / 0.8164965
Zcritical = 1.2247
α = 0.22 = 1 - 0.22 = 0.78 = 78%
C.)
Margin of Error = ±1.5
1.5 = Zcritical * s/sqrt(n)
99.5% confidence level, = 2.807
1.5 = 2.807 * 10/sqrt(n)
1.5 = 28.07 / sqrt(n)
Square both sides
1.5² = 28.08² / n
2.25n = 788.4864
n = 788.4864 / 2.25
n = 350.4384
n = 350 samples
D.)
H0 : μ = 72
H0 : μ > 72
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(73 - 72) ÷ 10/sqrt(150)
Test statistic = 1.2247
Pvalue :
P(Z < 1.2247) = 0.8897
Pvalue > α
0.8897 > 0.005
We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26
Answer:
22)
[tex]2(length+breadth+h)[/tex][tex]2(5a^2b^2+3ab^2)[/tex][tex]Perimeter: 2ab^2(5a^2+31)[/tex][tex]Area:-[/tex]
[tex]5a^2b^4 *3ab^2[/tex][tex]A=15a^2b^6[/tex]-----------
23)
[tex]perimeter:-[/tex]
[tex]4m^2+3mn^2+7mn[/tex][tex]4m^2+10mn^2[/tex][tex]answer: 2m(2m+5n^2)[/tex][tex]Area:-[/tex]
[tex]\frac{1}{2}* base* height[/tex][tex]1/2*3mn^2*4m^2[/tex][tex]6mx^{2+1}n^2[/tex][tex]A=6m^3n^2[/tex]----------
24)
[tex]1/2*b*h[/tex][tex]1/2x^24m^2*8mn[/tex][tex]A=16m^3n[/tex]----------
25)
[tex]1/2*(7a^2b+11a^2b)*3ab[/tex][tex]1/2*18a^2b*3ab[/tex][tex]9a^2b*3ab[/tex][tex]A=27 a^3b^2[/tex]------------
26)
[tex]A= 9\pi (x^3y)^2[/tex]∴To calculate the perimeter , add the length of its sides.
∴To calculate the area, multiply its height by its width.
------------------------
hope it helps...
have a great day!!
What is the volume of the following rectangular prism?
Answer:
volume = 14 2/3 units³
Step-by-step explanation:
volume = 7 1/3(2) = 14 2/3 units³
Please help worth 10 points
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
What is the answer for 82-(72+1)
Answer:
The answer should be 9.
Step-by-step explanation:
what does venerable mean
Answer:
accorded a great deal of respect, especially because of age, wisdom, or character.
"a venerable statesman"
Similar:
respected
venerated
revered
reverenced
Step-by-step explanation:
Hope it helps u , Good luck ^.^
Can Someone Help Me. ? It’s Between A Or B
b option is the answer
I am sure
What is the length of missing side X? Options are on photo
Help ASAP
Answer:
it should be 5 because its a rectangle
Answer:
x = 5cm
Step-by-step explanation:
Remember opposite sides of a rectangle are congruent
The opposite side of side "x" is equal to 5 cm therefore x = 5 cm
Important note! : The triangle does not change the side length as it is formed using it.
Eric went for a car rental for the weekend. He can choose one of two plants. The first plant has an initial fee of $44 and cost an additional $.12 per mile driven. The second plan has an initial fee of $57 and cost an additional eight cents per mile driven. For what amount of driving do the two plants cost the same?
Answer:
325
Step-by-step explanation:
.12x + 44 = .08x + 57
.04x = 13
x= 325
Solve the exponential equation: 6–2x = 62 – 3x
Answer:
the answer should be 56 :)
Step-by-step explanation:
Answer:
x=56
Step-by-step explanation:
Try to end up with only a single variable on one side.
Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x
or
6+x=62
Step 2: Subtract 6 from both sides. Example:
6+x-6=62-6
or
x=56
Step 3: You found the answer. Hope this helps and is correct.
Which figure correctly shows a horizontal reflection of the illustration?
Answer:
Step-by-step explanation:
B
One of the legs of a right triangle measures 6 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
18.0 cm
Step-by-step explanation:
[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]
[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]
[tex]hyp^{2} = 325[/tex]
[tex]hyp = 5\sqrt{13}[/tex]
[tex]= 18.028 cm[/tex]
help? please witt these 2
Answer:
C: x=6 D: x=2
Step-by-step explanation:
Hope this helps
Rewrite the sum of 12 + 27 using the GCF and the distributive property I
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
hbngfthjhuiuttyui
Step-by-step explanation:
yiutujhyyiiyttthhuijc
An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese. Use this information to answer the following questions.
a. What is the probability that a randomly selected adult is either overweight or obese? (Round your answer to 3 decimal places.)
b. What is the probability that a randomly selected adult is neither overweight nor obese? (Round your answer to 3 decimal places.)
c. Are the events "overweight" and "obese" exhaustive?
A. Yes because you cannot be both overweight and obese.
B. Yes because you can be both overweight and obese.
C. No because you may either be overweight or obese.
D. No because you may be neither overweight nor obese.
Answer:
a. The probability that a randomly selected adult is either overweight or obese is:
= 68.8%.
b. The probability that a randomly selected adult is neither overweight nor obese is:
= 31.2%
c.
D. No because you may be neither overweight nor obese. The events "overweight" and "obese" are not exhaustive.
Step-by-step explanation:
Overweight adult = BMI ≥ 25 but < 30
Obese adult = BMI ≥ 30
Journal of the American Medical Association:
Overweight adult population in the United States = 33.1%
Obese adult population in the United States = 35.7%
The probability that a randomly selected adult is either overweight or obese = Percentage of overweight adult population + Percentage of obese adult population
= 33.1% + 35.7%
= 68.8%
The probability that a randomly selected adult is neither overweight nor obese = 1 - 68.8%
= 31.2%
The events "overweight" and "obese" can only be exhaustive if their combined probabilities of occurrence equals 1 or 100%.
ZABC and ZQRS are supplementary angles,
If the measure of ZABC = 100°, what is the
measure of ZQRS?
mZQRS = [?]°
Answer:
Solution given:
<ABC+<QRS=180°[supplementary]
<QRS=180°-100°
<QRS=80° is your answer
find the interest and final payment. interest rate: 12%. previous balance: $4,800
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
The price of a computer component is the tracing at a rate of 10% per year if the components cost $90 today what will it cost in three years
Answer:
$119.79
Step-by-step explanation:
Year 1:
10% of 90 is 99
Year 2:
10% of 99 is 9.9
Year 3:
10 percent of 108.9 is 10.89
108.9+10.89= 119.79
A recent study of 750 Internet users in Europe found that 35% of Internet users were women. What is the 95% confidence interval of the true proportion of women in Europe we use the Internet
Answer:
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A recent study of 750 Internet users in Europe found that 35% of Internet users were women.
This means that [tex]n = 750, \pi = 0.35[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 - 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3159[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.35 + 1.96\sqrt{\frac{0.35*0.65}{750}} = 0.3841[/tex]
The 95% confidence interval for the true proportion of internet users who are women in Europe is (0.3159, 0.3841).
Help please will mark brainliest!!!
The base of a right triangle is 12 cm and its area is 210 cm². What is the length of its hypotenuse?
Answer:
The length of the hypotenuse is 37cm
Step-by-step explanation:
we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.
a=1/2bh
210=1/2(12)h
210=6h
h=35cm
now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:
12^2+35^2=c^2
c^2=144+1225
c^2=1369
c=37
so, the hypotenuse is 37cm
The length of the hypotenuse is 21.22 cm
How to determine the hypotenuse?The given parameters are:
Area = 210
Base = 12
Start by calculating the height using:
Height = Area/Base
This gives
Height = 210/12
Divide
Height = 17.5
The hypotenuse is then calculated using:
Hypotenuse = √(Base^2 + Height^2)
This gives
Hypotenuse = √(12^2 + 17.5^2)
Evaluate
Hypotenuse = 21.22
Hence, the length of the hypotenuse is 21.22 cm
Read more about right triangles at:
https://brainly.com/question/23814470
Find the value of x to make the rectangles similar.
Answer:
84
Step-by-step explanation:
126/42 = 3 Find the long side proportion
28 x 3 = 84 multiply by proportion
{201-[68-(40/4)+(-8)+(70x2)]}
Answer:
{201-[68-(40/4)+(-8)+(70x2)]}
{201-[68-(40/4)+(-8)+140]}
{201-[68-10-8+140]}
{201-[68-18+140]}
[201-[50+140]}
{201-190}
11is your answer
please answer asap! no scam links or scam comments or reported.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
:))
1^12 multiplied by 3,268,584
Answer:
3,268,584
Step-by-step explanation:
1^12 is 1
Find the difference
Answer:
4x² - 2x + 5
Step-by-step explanation:
5x² - 1x² = 4x²
8x - 6x = 2x
2 + 3 = 5
= 4x² - 2x + 5
If n −−√=9
then n=
Plz help
9514 1404 393
Answer:
n = 3
Step-by-step explanation:
Any calculator, or your knowledge of multiplication tables, will tell you ...
9 = 3×3
√9 = 3
n = 3