9514 1404 393
Answer:
(x, y) = (0, -1)
Step-by-step explanation:
The coefficients of x are opposites, so we can eliminate x by adding the two equations.
(6x +y) +(-6x -4y) = (-1) +(4)
-3y = 3 . . . . simplify
y = -1 . . . . . . divide by -3
Now, we need to find x.
6x -1 = -1 . . . substitute for y in the first equation
6x = 0 . . . . . add 1
x = 0 . . . . . . divide by 6
The solution is (x, y) = (0, -1).
63 is 9% of what number?
Answer:
63 is 9% of 700.
Step-by-step explanation:
To solve this problem you multiply 63 by 100 and then divide the total by 9 as follows: (63 x 100) / 9
Thus, the answer is 700.
Suppose price changes of a particular commodity are independent and identically distributed random variables with µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes. Use the Central Limit Theorem to compute the probability that the average price change of this sample is less than 1.0.
Answer:
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes.
So the standard deviation is:
[tex]\sigma = \sqrt{\sigma^2} = \sqrt{0.16} = 0.4[/tex]
Sample of 36:
This means that [tex]s = \frac{0.4}{\sqrt{36}} = 0.0667[/tex]
Probability that the average price change of this sample is less than 1.0.
This is the pvalue of Z when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1.1}{0.0667}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
Select TRUE or FALSE to indicate if the expression has been simplified correctly.
True
False
Answer:
false i think
Step-by-step explanation: forget the exponents 2/6 simplified is 1/3 and the base is 4 not 3 sorry if i am wrong
A square has an Area of 49 square feet. What is the measure of a side length? *
Answer: 7 feet
hope this helps, have an amazing day <3
What is 23x4x67+213 divided by 9 -154 x7
Answer: -6377/1069 (write as fraction)
Step-by-step explanation: 6377/-1069
If you would like for me to simply it let me know!
What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2
Gator Brews manufactures three types of brews: A, B, and C. These brews are produced via twa production processes: 1 and 2. Running process 1 for an hour costs $400 and yields three hundred gallons of brew A, one hundred gallons of brew B, and one hundred gallons of brew C. Running process 2 for an hour costs $100 and yields one hundred gallons of brew A, one hundred gallons of brew B. To meet customer demands, at least 1000 gallons of brew A, 500 gallons of brew B, and 300 gallons of brew C must be produced daily. Gator Brews wants to minimize the cost of running both processes. Set up and answer this question in worksheet "Part 6" using the simplex method in solver. (15 points) X1-hrs of process 1 X2 - hrs of process 2 MIN Z = 400x1 +100X2 s.t. Gallons of A 300 x1 + 100 x2 1000 Gallons of B 100 x1 + 100 x2 2500 Gallons of C 100 x1 + 0x2 2 300
Answer:
z(min) = 1400
x = 3
y = 2
Step-by-step explanation:
Formulation:
Let´s call
x number of running hours of process 1
y number of running hours of process 2
Then Objective Function to minimize is:
z = 400*x + 100*y
Constrains:
Subject to
Demand constraint ( by type of brews)
300*x + 100y ≥ 1000
100*x + 100*y ≥ 500
100*x ≥ 300
General constraint
y≥0 Note that we already have x≥= (in the third constraint)
By using the on-line slver we find:
z (min) = 1400 $
x = 3
y = 2
v=U + at
u= 2
a = -5
t = 1
Work out the value of v.
Step-by-step explanation:
[tex]V = U + at \\ V = 2 + ( - 5 \times 1) \\ V = - 3[/tex]
Pls help if u cannnnnnnnnnnnnnnnn
Answer:
4.189 cubic inches
Answer:
4.19 in³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {1}^{3} [/tex]
[tex] = \frac{12.56}{3} [/tex]
[tex] = 4.186666667...[/tex]
= 4.19 in³ (rounded to the nearest hundredth)
The length of a rectangle is twice its width. The perimeter is eighty-four inches. Find the length and width. The length is inches. The width is inches.
Find the perimeter. Round to the nearest whole number.
15 is c and 30 is a)
Answer:
45
Step-by-step explanation:
Hope this helps.
9x + 3 + 8x
Please help
If you are trying to build credit by using a credit card, each time you make a purchase with the credit card, deduct that amount from your checking account. That way, when your credit card bill is due, you will have enough to pay the credit card off in full. Kathy Lehner is going to start doing this. She plans on paying her credit card bill in full this month. How much does she owe with a 6% APR and the following transactions? (Round your answer to the nearest cent.)
31-day billing cycle
10/1 Previous balance $ 1,164
10/3 Credit $ 79 cr.
10/12 Charge: King Soopers $ 148
10/15 Payment $ 310 cr.
10/25 Charge: Delta $ 321
10/30 Charge: Holiday Fun $ 61
What would be the amount owed?
Answer:
12593
Step-by-step explanation:
tell me if this hepls
Ur should be noted that Kathy Lehner owes approximately $1,311.97.
How to calculate the amountPrevious balance (10/1): $1,164
Credit (10/3): $79 credit. This reduces the balance, so the new balance is $1,164 - $79 = $1,085.
Charge: King Soopers (10/12): $148 charge. This increases the balance, so the new balance is $1,085 + $148 = $1,233.
Payment (10/15): $310 credit. This reduces the balance, so the new balance is $1,233 - $310 = $923.
Charge: Delta (10/25): $321 charge. This increases the balance, so the new balance is $923 + $321 = $1,244.
Charge: Holiday Fun (10/30): $61 charge. This increases the balance, so the new balance is $1,244 + $61 = $1,305.
Interest calculation: $1,305 * (6% * (31/365)) = $6.9698 (rounded to the nearest cent, which is $6.97).
Finally, to determine the total amount owed, we add the balance and the interest:
Total amount owed: $1,305 + $6.97 = $1,311.97
Therefore, Kathy Lehner owes approximately $1,311.97.
Learn more about amount
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Can someone help me simplify and write in power form and show me step by step how to do it?
Answer:
8^2
Step-by-step explanation:
here's your solution
=> (8^7*8^4)8^9
=> in multiplication if base are same power added and in division if base same power minus
=> (8^11)/8^9
=> 8^2
hope it helps
NO FILES!!
Find the following amount.
What is 75% of 4?
75% of 4 is
Answer:
75% of 4 is 3
Step-by-step explanation:
Hope this helps you :)
Answer:
75% of 4 is 3.
Step-by-step explanation:
75% [tex]=\frac{75}{100}[/tex]
[tex]\frac{75}{100} *4=\frac{300}{100}[/tex]
[tex]\frac{300}{100}=3[/tex]
Hope this helps; have a great day!
the angle θ lies in quadrant ii. cos θ = -2/3 what is tan θ?
options:
√5/3
-√5/2
√5/2
-√5/3
Answer:
-√5/2
Explanation: I took the quiz.
The unemployment rate decreased by 1/10%
in one month. Write 1/10% as a fraction and
as a decimal.
Answer:
1
-
10
0.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
HELP PLEASEEEEEEEEEE
Cone S and cone T are similar. The volume of cone S is 768 768pi cm3 cm3 and the
volume of cone T is 6144 6144pi cm3 cm3. What is the height of cone S if the height
of cone Tis 24 cm?
24 cm
cone S
cone T
Step-by-step explanation:
This is a ratio problem
Vol cone = 1/3 π r² h
Cone S is 768pi cm3
Cone T is 6144pi cm3
Cone S and cone T are similar I think this means they have the same radius
Vol cone S = 1/3 π r² hs Vol cone T = 1/3 π r² ht
Vol Cone S / Vol Cone T = 1/3 π r² hs / 1/3 π r² ht
Vol Cone S / Vol Cone T = hs / ht
768 / 6144 = hs / 24 (note the π cancelled out
h cone s = 768(24) / 6144
h cone s = 3 cm
A car is running with the velocity of 72km/h . what will be its velocity after 5s if its acceleration is -2m/s square ?
Answer:
92 km
Step-by-step explanation:
by calculator hope it gelps
Plz help me well mark brainliest if you are correct!!
Answer:
3
Step-by-step explanation:
1 hour = 60 minutes.
1/4 of an hour = 60 minutes / 4 = 15 minutes.
15 minutes / 5 minutes segments = 3
There are 3 five-minute segments in 1/4 of an hour
Answer:
C.
Step-by-step explanation:
Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.
You can do it like this 60 * 1/4 = 60/4
60/4 = 15/1
15 = 5 * 3
the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi
Answer:
157 in
Step-by-step explanation:
2x3.14x25 = 157 in
what is the domain of y=log5x?
A. all real numbers less than 0
B. all real numbers greater than 0
C. all real numbers not equal to 0
D. all real numbers
I'm sorry to rush but I need the answer kinda quickly
Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.
Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]
b. P(x)= 4x
c. The graph would go in a straight line touching each point given.
Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.
What is the probability of drawing a 9 or a diamond from a standard deck of cards?
Answer:
7.6923% for Drawing a 9, 25% Drawing a Diamond
Step-by-step explanation:
There are 4 9s in a deck of cards, and 4/52 as a percentage is 7.6923%. There are 13 Diamonds in a deck of cards, and 13/52 as a percentage is 25%.
Please help this is including substitution and system of equations.
Answer: I gotcha
Step-by-step explanation:
B, C, C, D, B
I just helped my brother with this
Sorry guys new one thank you math people your the best you guys save my life :)
Answer:
2.0 is the correct answer
Step-by-step explanation:
hope it helps you
Identify the solid from the net below *
The solid from the net is a cube
Answer: Cube
A cube has 6 faces, which makes this net accurate.
what is the surface area of the right cylinder below. radius 3 height 7
Answer:
160 sq. uits
Step-by-step explanation:
160 sq. uits é a resposta
An orchard has 986 orange trees. The number of rows exceeds the number of trees per row by 5 . How many trees are there in each row?
Answer:
918.60
Step-by-step explanation:
dont mind my handwriting