Answer:
(4,11/2)
Step-by-step explanation:
5x-2y=9
12x-8y=4
A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.
4(5x-2y=9)
Now we need to decide if we should add or subtract the equations.
20x-8y=36
12x-8y=4
Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.
20x-8y=36
-12x-8y=4
----------------
8x=32
Divide both sides by 8 to get the x-value:
[tex]\frac{8x}{8} = \frac{32}{8}[/tex]
x=4
Now that we have our x-value, we need to plug in the y-value.
5x-2y=9
5(4)-2y=9
20-2y=9
-2y=-11
y=11/2
So our solution is (4,11/2)
Let's check our work.
5x-2y=9
5(4)-2(11/2)=9
20-22/2=9
20-11=9
9=9
12x-8y=4
12(4)-8(11/2)=4
48-88/2=4
48-44=4
4=4
Our solution is correct.
Answer:
x=4,y=11/2
Step-by-step explanation:
5x−2y=9
12x−8y=4
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
5x−2y=9,12x−8y=4
To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.
12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4
Simplify.
60x−24y=108,60x−40y=20
Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.
60x−60x−24y+40y=108−20
Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.
−24y+40y=108−20
Add −24y to 40y.
16y=108−20
Add 108 to −20.
16y=88
Divide both sides by 16.
y=11/2
Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.
12x−8x11/2=4
Multiply −8 times 11/2.
12x−44=4
Add 44 to both sides of the equation.
12x=48
Divide both sides by 12.
x=4
The system is now solved.
x=4,y=11/2
Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes below.
a) n=14
b) n = 28
c) n = 45
a) The margin of error for a 90% confidence interval when n = 14 is
(Round to two decimal places as needed.)
b) The margin of error for a 90% confidence interval when n=28 is
(Round to two decimal places as needed.)
c) The margin of error for a 90% confidence interval when n = 45 is
(Round to two decimal places as needed.)
Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
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 = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]
The margin of error for a 90% confidence interval when n = 45 is 10.02.
sec (x) = -2.3. If x and y are complementary, what is csc (y)?
Answer:
eat my cog
Step-by-step
Solve the equation for solutions over the interval [0°, 360°). 7tanθ−7/3cotθ=0
Answer:
Step-by-step explanation:
[tex]7\tan \theta-\frac{7}{3}\cot \theta=0\\\tan \theta=\frac{1}{3} \cot \theta\\\tan^2\theta=\frac{1}{3}\\\tan \theta=\pm \frac{1}{\sqrt{3}}\\when ~\tan \theta=\frac{1}{\sqrt{3}}=tan 30,tan (180+30)\\\theta=30^\circ ,210^\circ\\when~ \tan \theta=-\frac{1}{\sqrt{3}}=\tan (180-30),tan(360-30)\\\theta=150^\circ,330^\circ[/tex]
solution set is {30,150,210,330}
If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm. (Round your answer to three decimal places.)
Answer:
The diameter decreases at a rate of 0.053 cm/min.
Step-by-step explanation:
Surface area of an snowball
The surface area of an snowball has the following equation:
[tex]S_{a} = \pi d^2[/tex]
In which d is the diameter.
Implicit differentiation:
To solve this question, we differentiate the equation for the surface area implictly, in function of t. So
[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]
Surface area decreases at a rate of 3 cm2/min
This means that [tex]\frac{dS_{a}}{dt} = -3[/tex]
Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.
This is [tex]\frac{dd}{dt}[/tex] when [tex]d = 9[/tex]. So
[tex]\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}[/tex]
[tex]-3 = 2*9\pi\frac{dd}{dt}[/tex]
[tex]\frac{dd}{dt} = -\frac{3}{18\pi}[/tex]
[tex]\frac{dd}{dt} = -0.053[/tex]
The diameter decreases at a rate of 0.053 cm/min.
I need a step by step example of how to get the answer if you don't mind.
Answer:
D
Step-by-step explanation:
This equation may look hard, but all of the steps are in the question, so all we need to do now is plug in the numbers!
The question asks us to round all numbers to the nearest whole number before plugging them in, so we'll round 11.3 down to 11.
Now, we just need to plug in 11 to the equation to ger A=11²pi
11 squared is 121, so now we just need to multiply 121 by pi.
Pi is a long number, but again, the equation asks us to round to the nearest whole number, so since pi is 3.143, we can round that to three.
Now all we need to do is multiply 121 by 3 to get 363!
I hope this helps.
The following is a data set of five quiz scores.
92, 88, 90, 96, 84
What is the mean absolute deviation of the scores?
Answer:
The mean absolute deviation is 36.8. Hope this was helpful
Step-by-step explanation:
PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW ITS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answer:
How many days will it take for the water to be 4m high?
Step-by-step explanation:
use the missing variable.
Using compatible numbers, which is the best estimate of (28.5)(7.1)?
36
40
210
300
Answer:
210
Step-by-step explanation:
29*7 = 203, 203 is the closest number to 210!
Answer:
210
Step-by-step explanation:
I don’t know what the answer for this
Answer:
isoceles and right
Step-by-step explanation:
Answer:
I think the answer us B........
FAVORITE HAIKYUU SHIP GO!!
Answer:
Kageyama x Milk
Step-by-step explanation:
djkdkdkdksksk y u h
Select ALL TRUE statements about Linear Functions:
Group of answer choices
The degree of the function is one.
The y values change by a common difference.
The graph is a straight line.
Vertex form is used for graphing.
Step-by-step explanation:
The degree of the function is one: Correct
The y values change by a common difference: incorrect
The graph is a straight line: Correct
Vertex form is used for graphing: Incorrect
Hope that helps :)
3. What is the probability that when a fair coin is flipped 20 times, there will be exactly five tails?
Answer: Probability of getting
17
tails from
20
tosses is
285
262144
=
0.0010872
Step-by-step explanation:
When a coin is tossed there are two possibilities.- it is either a head or tail and probability of getting either head or tail is
1
2
.
HELP. What is the value of y in the equation 2(2y - 12) = 0? (5 points)
1) 4
12 6
3
3) 7
4) 8
Answer:
6
Step-by-step explanation:
2(2y - 12) = 0
distribute the 2
2·2y - 2·12 = 0
4y - 24 = 0
add 24 to both sides
4y - 24 + 24 = 0 + 24
4y = 24
divide both sides by 4
(4y)/4 = 24/4
y = 6
help me u get brainliest plus more points :D
Answer:
6 is 56.25
7 is 97.50
Step-by-step explanation:
Simplify Help me please with this question!!!!!
What is the area of this figure? I give brainliest and thanks :)
Answer:
591 square cm
Step-by-step explanation:
25 times 23 =575
4 times 4 =16
575 plus 16=591
Answer:
591
Step-by-step explanation:
23x25=575+(4x4)=591
recipe calls for 1/3 of a cup of milk for 10 cookies how many cups of milk are needed to make 90 cookies
Answer:
just multiply by 9 :)
Step-by-step explanation:
HELP PLSSSS
8^2 b - 3 when b = 3
Answer:
0
Step-by-step explanation:
If b is 3 then the quiz can be rewritten as
8²3-3
8²0
64×0=0
Well it's just a trial
Find the distance between the pair of points.
(-4,3) and (-8,3)
The distance between the pair of points is
units.
Answer:
4 units
Step-by-step explanation:
Use the distance formula
d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Plug in the points
d = [tex]\sqrt{(-4 - (-8))^2 + (3 - 3)^2}[/tex]
d = [tex]\sqrt{(4)^2 + (0)^2}[/tex]
d = [tex]\sqrt{16}[/tex]
d = 4
So, the distance between the pair of points is 4 units
Answer:
4 units
Step-by-step explanation:
[tex]\large{ \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } }[/tex]
The formula above is the formula of distance between two points.
Substitute the ordered pairs in.
[tex] \large{ \sqrt{ {( - 4 + 8)}^{2} + {(3 - 3)}^{2} } } \\ \large{ \sqrt{ {4}^{2} + 0 } } = \sqrt{16} = 4[/tex]
Therefore, the distance between two points is 4 units.
I had $370.00. My Mom gave $150.00. My Dad gave $150.00. My Aunt and Uncle gave me $100.00. I had another $30.00. How much did I have? I will delete the right answers.
Answer:400
Step-by-step explanation:
Order the angle measures from least to greatest
please help
Answer:
Least = m<H
Middle = m<J
Greatest = m<I
Step-by-step explanation:
The angle opposite the shortest side would have the shortest angle. The side opposite the greatest side would have the greatest angle.
Least = m<H
Middle = m<J
Greatest = m<I
A) 9)___ + 7) = 18 + 63 B) ___(12 + 9) + 36 + 27 C) 8(___+7) = 24 + 56 D) ___(5 + 8) + 20 +32
Answer:
A) 9(2+7)
B) 3(12+9
C) 8(3+7)
D)4(5+8)
Step-by-step explanation:
A)
9*(x+7) = 18+63
9*(x+7) = 81
81/9 = x+7
9 = x+7
x = 2
B)
x*(12+9) = 36+27
x*(12+9) = 63
x*21 = 63
x = 63/21
x = 3
C)
8*(x+7) = 24+56
8*(x+7) = 80
x+7 = 80/8
x+7 = 10
x = 3
D)
x*(5+8) = 20+32
x*13 = 52
x = 52/13
x = 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
anyone know the answer
Answer:
I DONT KNOW SOORY
Step-by-step explanation:
jbjnmbgkuyhjn
you have a coupon for $4 off the price of any large pizza . you also get a 20% discount on any pizza if you show your student ID. How much would you pay for a large pizza if the cashier applies the coupon first?
Answer:
You would pay 80% of the cost of a large pizza. So if the pizza was $10 you would pay $8 getting $2 off.
Step-by-step explanation:
What is the answer please help no links
Answer:
The answer is 432
Step-by-step explanation:
Multiply
30 POINT FOR BRAINLIEST ANSWER!!!!!
Answer:
[tex]H)39.6[/tex]
Step-by-step explanation:
To get the mean, you have to add all the numbers, then divide the sum by the amount of individual numbers there are.
In this problem, we see that there are 5 different numbers. If we add all those numbers together, they will equal 198.
[tex]198[/tex] ÷ [tex]5 = 39.6[/tex]
ANSWER ASAP! ALL SCAM LINKS WILL BE REPORTED.
Answer:
y=55+15x
Step-by-step explanation:
Answer:
The answer is (C) y = 55 + 15 x
Step-by-step explanation:
This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.
A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Answer:
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Step-by-step explanation:
Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.
The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
What is random sample?Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.
The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-
H0: There is no association between party affiliation and the county in which a person lives.Ha: There is an association between party affiliation and the county in which a person lives.The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.
The value of chi square is greater than p-value as,
[tex]19.78 > 0.003[/tex]
Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.
Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
Learn more about the random sample here;
https://brainly.com/question/17831271
The figure shows a gas tank in the form of a rectangular prism that is 40% full. How many more gallons of gas will it take to fill the tank? (1 gallon = 231 in.3)
Answer:
10.8 gallons
Step-by-step explanation:
First change everything to inches:
2.75 ft = 33 in
1.5 ft = 18 in
Volume of tank = lwh = (33)(18)(7) = 4158 in³
The tank is 40% full, so only 60% is need to fill it. To find 60%, multiply 4158 by 0.6 = 2494.8 in³
Now find out how much 2494.8 in³ is in gallons:
231 in³ = 1 gallon
1 in³ = 1/231 gallons
2494.8 = (1/231)(2494.8) gallons = 10.8 gallons
Solve for x. Show your work:
2x+17+3x = 4x+3x+3
Answer:
The answer is 7
Step-by-step explanation:
2x+17+3x=4x+3x+3
5x+17=7x+3
5x-7x=3-17
-2x=-14
x=7