The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
To obtain System B from System A, we can perform the following steps:
Start with System A:
System A:
x - 4y = 1
5x + 6y = -5
Solve the first equation in System A for x:
x = 1 + 4y
Substitute the value of x in the second equation of System A:
5(1 + 4y) + 6y = -5
Simplify and solve for y:
5 + 20y + 6y = -5
26y = -10
y = -10/26
y = -5/13
Substitute the value of y back into the equation we found in step 2:
x = 1 + 4(-5/13)
x = 1 - 20/13
x = (13 - 20)/13
x = -7/13
Write down the equations with the values of x and y:
System B:
x = -7/13
5x + 6y = -5
Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.
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PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
add 6 to both sides and dividing both sides by 5.
Answer:
add 6 to both sides then divide both sides by 5
Step-by-step explanation:
To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Answer:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Step-by-step explanation:
Edge 2021
The type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).
The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).
For this case, the hypotheses laid down are:
Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ : The proportion of metal that is gold is less than 75%.Thus, we get:
Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.
Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.
Therefore, the type I error and type II errors for this condition are given by: Option A:
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.Learn more about type I and type II errors here:
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PLEASE HELP ME!!! PLEASE
Answer:
it should be (8,-7)
Step-by-step explanation:
What is the mean?
1 2 1 3 6 3 6 2
The expression (g^2)^4 is equivalent to g^m. What is the value of m?
^ means exponents
Answer:
m = 8
Step-by-step explanation:
4 x 2
you just have to multiply exponents
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
[tex]60x=420[/tex]
[tex]x=\dfrac{420}{60}[/tex]
[tex]x=7[/tex]
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
What percent of 84 is 42
Jamie, Daniel, and Taylor want apples. Jamie cuts 5 apples into equal-sized pieces. If they all eat the same amount, how many apples will each person eat
Answer:
1⅔
Step-by-step explanation:
Asking I'd say it's simply 5 apples divided by
the three of them to get 1⅔
Lines AC and BD intersect at O as shown.
What is the measure of
Answer:
X=4
Step-by-step explanation:
25x + 25x = 50
20 + 20 = 40
50 + 40 = 90
90x = 360
X = 4
At a Beirut market, oranges are priced at $1.29/KG. Ms. X buys 10 oranges that have a total weight of 4.82 kgs. What is the average price per orange that she pays?
Answer:
The average price of each orange is $0.62.
Step-by-step explanation:
Given that at a Beirut market, oranges are priced at $ 1.29 per kilo, and Ms. X buys 10 oranges that have a total weight of 4.82 kilograms, to determine what is the average price per orange that she pays must perform the following calculation:
(4.82 x 1.29) / 10 = X
6.21 / 10 = X
0.62 = X
Thus, the average price of each orange is $ 0.62.
Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the region into plots measuring 1 square meter each, and they selected a random sample of 9 plots. The mean biomass of the 9 plots was 4.3 kilograms per square meter (kg/m2) and the standard deviation was 1.5 kg/m2 . Assuming all conditions for inference are met, which of the following is a 95 percent confidence interval for the population mean biomass, in kg/m2?
A) 4.3±1.96 (underroot 1.5/3).
B) 4.3±1.96 (1.5/3).
C) 4.3 ± 2.306 (underroot 1.5/9).
D) 4.3±2.3064 (1.5/9).
E) 4.3+2.30/15 (1.5/3).
Answer:
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval:
The confidence interval is the sample mean plus/minus the margin of error. So
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]
The correct answer is given by option c.
Aiden scored 27 goals in soccer. If he made 90% of his kicks, how many shots were taken?
Answer:
30
Step-by-step explanation:
A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.
Answer:
2.5 mg
Step-by-step explanation:
Given the data:
23 24 23 29 28 26 27 28 26
The sample standard deviation, s
s = sqrt[Σ(x - mean)²] ÷ (n - 1)
Mean, m = ΣX / n
n = 9
Mean = 234 /9 = 26
Using a calculator :
s = 2.236
The margin of error, MOE
MOE = Tcritical * s/sqrt(n)
Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536
MOE = 3.35536 * 2.236/sqrt(9)
MOE = 3.35536 * 2.236/3
MOE = 3.35536 * 0.7453333
MOE = 2.50086
MOE = 2.5
First one to answer this gets BRAINLIEST no cap. (Look at the pic)
Answer:
36.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The formula to solve this is a+b)/2*h
4+5=9
9/2=4.5
4.5*8= 36
The sum of three consecutive odd integers is -39. What is the largest integer?
Answer:
the sum of three consecutive odd number is less than 54.
If an image was translated 8 units to the left and 2 units down, what would its rule be?
A. (X,Y-> (X + 8, y - 2)
B. (x, y) --> (X - 8, y - 2)
C. (x, y) --> (X + 8, y + 2)
D. (x, y) --> (X - 8, y + 2)
ill give brainliest! plsss help
Answer:
B
Because u r going -8 units on the x-axis and 2 units down on the y-axis
Two small space probes have been slowed to 10 m/s as they approach the Moon from the same direction. Probe 1 has a mass of 86 kg, and probe 2 has a mass of 100 kg. What is their total momentum? A. 8600 kg O B. 1000 kg-m/s O C. 860 kg-m/s O D. 1860 kg-m/s SUBMIT
The total momentum of the two probes with given mass and velocity is equal to option D. 1860 kg m/s.
velocity of probe = 10m/s
mass of probe 1 = 86kg
mass of probe 2 = 100kg
The momentum of an object is given by the product of its mass and velocity.
So, to calculate the total momentum of the two probes,
Find the momentum of each probe, and then add them together.
The momentum of probe 1 is equal to,
p₁ = m₁ × v
Substitute the value we have,
⇒ p₁ = 86 kg × 10 m/s
⇒ p₁ = 860 kg m/s
The momentum of probe 2 is equal to,
p₂ = m₂ × v
⇒ p₂ = 100 kg × 10 m/s
⇒ p₂ = 1000 kg m/s
The total momentum of the two probes is the sum of their individual momenta is equal to
p = p₁ + p₂
⇒ p = 860 kg m/s + 1000 kg m/s
⇒ p = 1860 kg m/s
Therefore, the total momentum of the two probes is option D.1860 kg m/s.
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HELP ME PLEASE HERE IS THE IMAGE I NEED THE HELP PLEASE
Answer: 1:3
Step-by-step explanation:
18 Spanish and 6 French
ratio of French to Spanish is 6:18 reduced to1:3
Please help fast! Will give brainliest to first correct answer!
Answer:
1. D
2.C
3.B
4. A
Step-by-step explanation:
:D
Answer:
1. the top one is connected to the bottom
2. is connected to the third one
3. is connected to the second one
4. is connected to the first
Step-by-step explanation:
look below
What is the horizontal distance from the origin to the point (8, 1)?
Answer:
Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos
I just need these 4, they should be super easy!! I really need help
Answer:
1. v = 72
2. b = 8
3. 0 or -2
4. C = -24
Step-by-step explanation:
Hope this helps.. Can I get brainiest
Marvin solved the equation 4(x+5)=88 fill in the blanks
Answer:
x=17
Step-by-step explanation:
4(x+5) = 88
4x + 20 = 88
4x = 88-20
4x = 68
x = 68/4
x = 17
Answer:
17
Step-by-step explanation:
4(x+5)=88
4x+20=88
4x=88-20
4x=68
4x÷4=68÷4
x=17
help me pleeeeeeeeeeeeease
Answer:
1:9
Step-by-step explanation:
9/9 = 1 and 81/9 = 9
Thus, 9:81 ratio simplified is 1:9
Columbia County needs 757 pieces of pipe to repair some water lines. If each box contains 3 pieces of pipe, how many boxes should the county buy?
Answer:
253 boxes
Step-by-step explanation:
757/3 = 252.33
Which number line shows a graph of the inequality x > -25?
Answer:
Step-by-step explanation:
o--------------------------->
[tex]<------------>\\ -25 -24 -23 -22 -21 -20[/tex]
> means an open circle on -25, and a line pointing to the right because it's greater than.
Options C and D number lines show a graph of the inequality x > -25 that lies on the positive side.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We have given a condition we need to find which number line shows a graph of the inequality x > -25.
We can see in the graph that the number line of options 1 and 2 doesn't show the inequality x > -25 because the point lies on the negative side of the number line.
But the number line in the options C and D shows the inequality x > -25.
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Tell whether the ordered pair (-1,3) is a solution of the system of linear equations. y=-7x-4 and y=8x+5
Answer:
Since it does not plug in to the second linear equation, the ordered pair is not a solution of the linear system.
Step-by-step explanation:
(-1,3); y = -7x -4 y = 8x + 5 3 =7 - 4 3 =/ - 8 + 5
For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The ordered pair (-1,3) is not the solution of the given system of equations.
What is the System of equations?Inconsistent SystemFor a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of the equation can be found by plotting the equation on the graph. Therefore, the point at which the equation will intersect will the solution of the system of equation.
Since the solution of the system of equation is (-0.6, 0.2), there exists only one single solution for the system of equation. therefore, the (-1,3) is not the solution of the system of equation.
Hence, the ordered pair (-1,3) is not the solution of the given system of equations.
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Plz help quick I will give brainly points
PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST!!!!!
Answer:
The average cost of a cat's annual visit is about $23.71 less at A New Leash on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff Stuff Animal Hospital.
Explanation:
As you can see from the data and graph given, the Mean is essentially the average cost and $101.13 (New Leash on Life) is $23.71 less than $121.84 (No Ruff Stuff Animal Hospital).
A triangle has an area of 37.5 inches the height of the triangle is 20 inches what is the length of the base of the triangle?
Answer:
base = 3.75 inches
Step-by-step explanation:
37.5 = 20b/2
37.5 = 10b
b = 3.75
Ryan's Study Schedule
Subject Subject (Hours)
2
Math
2
3
1
Science
1-
2
1
English
3
1
Social Studies
1
4
What is the closest amount to the hours Ryan spends studying?
7 hours
8 hours
0 5 hours
O 9 hours
