Answers
Answer:
(-3,3)
Step-by-step explanation:
Using elimination:
Multiply the first equation by 8 and the second by 5 which equals
40x+56y=48
-40-60y=-60
Now you add them together
40x+(-40x)=0 so that crosses out
56y+(-60y)= -4y
48+(-60)=-12
You now have -4y=-12
Divide by -4
y=3
Now plug in y to any of the equations
5x+7(3)=6
5x+21=6
Subtract 21 from both sides
5x=-15
Divide by 5
x=-3
Your final solution is (-3,3)
Related Questions
AP Statistics Quiz 10.2
1.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first
responders (specifically emergency medical technicians, EMTs). Independent random samples from each
of these two professions were selected and their salaries were recorded. The data are summarized below.
a) the distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified why?
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTs
Answers
Answer:
Hello some data related to your question is missing attached below is the missing data
a) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures. since ( to > critical value )
b) ( 3.819 , 8.5226 )
Step-by-step explanation:
Applying the Given data:
The test hypothesis :
H0 : μ1 = μ2
Ha : μ1 > 2
A) since ( to > critical value ) we will reject the null hypothesis hence it can be determined that the salary of politicians is greater than that of EMTs through the use of two-sample t procedures
B ) construct and interpret
next calculate the SP value
[tex]S^{2} _{p}[/tex] = [tex]\frac{( n1 - 1 )S^{2} _{1} + ( n_{2}- 1 )S^{2} _{2} }{n1 + n2 - 2}[/tex]
where: S1 = 7524 , n1 = 50 , n2 = 100 , S2 = 5551 ( input values into equation above )
∴ [tex]S^{2} _{p}[/tex] = 39354491.3716
hence : [tex]S_{p}[/tex] = 6273.32
next calculate the value of test statistic
to = ( X1 - X2 - Δo ) / Sp [tex]\sqrt{\frac{1}{n1} + \frac{1}{n2} }[/tex]
where: X1 = 61234 , X2 = 54529 , Sp = 6273.32 , n1 = 50 , n2 = 100 ( input values into equation above )
to = 6705 / 1086.5702 = 6.1708
Df ( degree of freedom ) = n1 + n2 - 2 = 148
critical value at ∝ = 0.01 = ± 2.3518 ( using excel function : T.INV(0.01,148) )
hence the confidence Interval
= ( 6.1708 ± 2.3518 )
= ( 3.819 , 8.5226 )
For the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
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.
Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, than first responders (specifically emergency medical technicians, EMTs).
Independent random samples from each of these two professions were selected and their salaries were recorded. The data are summarized below.
Politicians EMT's
Mean $61,234 $54,529
Standard deviation $7524 $5551
n 50 100
a) The distribution of salary in each group is skewed right. The use of two-sample t procedures is still justified-The hypothesis for the test,
[tex]H_0:\mu_1=\mu_2\\H_a:\mu_1 > 2[/tex]
No it is not justifies, as the null hypothesis is rejected.
b) construct and interpret a 99% confidence interval for the difference in the true mean salaries for politicians and EMTsThe pooled estimate of a common population standard deviation can be given as,
[tex]S_p=\sqrt{\dfrac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2}}[/tex]
Put the values in the above formula from the table, we get,
[tex]S_p=\sqrt{\dfrac{(50-1)(7524)^2+(100-1)(5551)^2}{50+100-2}}\\S_p=6273.32[/tex]
Use the formula of test statistics for equal variance as,
[tex]t=\dfrac{\overline y_1-\overline y_2-0}{s_p\sqrt{\dfrac{1}{n_1}+\dfrac{1}{n_2}}}[/tex]
Put the values from the table as,
[tex]t=\dfrac{61234-54529-0}{(6263.32)\sqrt{\dfrac{1}{50}+\dfrac{1}{100}}}\\t=6.1708[/tex]
The degree of freedom can be given as,
[tex]DF=100+50-2\\DF=148[/tex]
The critical value for 99 percent interval (0.01) is ±2.3518.
Hence, the confidence interval for this two values is (6.1708, ±2.3518).
Thus, for the table of Mrs. Toguchi the t test for two sample is not justified and the confidence interval for this two values is (6.1708, ±2.3518).
Learn more about the random sample here;
https://brainly.com/question/17831271
Solve the system of equations and choose the correct answer from the list of options. d + e = 15 −d + e = −5 Label the ordered pair as (d, e). (4 points) Question 3 options: 1) (0, 0) 2) (10, −5) 3) (5, 10) 4) (10, 5)
Answers
Answer:
3) (5, 10)
Step-by-step explanation:
d + e = 15
-d + e = -5
e = -5 + d
substitude e for -5 + d
d + -5 + d = 15
2d = 10
d = 5
figure out e
5 + e = 15
e = 10
How does the graph of g(x) = 10x – 8 compare to the graph of f(x) = 10x?
The graphs are the same.
The graphs are translated upward 8 units.
The graphs are translated downward 8 units.
The graphs shift to the left 8 units.
Answers
Answer:
Translated down 8 units or C
Step-by-step explanation:
If you wanted to put a fence around your garden, would you find the perimeter or the area of the garden??
Answers
Answer:
U would find the perimeter.
Step-by-step explanation:
Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?
Answers
Answer:
hammood habbi knows
Step-by-step explanation:
32 or 16
Can somebody plz help?
Answers
Answer:
x = 42
Step-by-step explanation:
Let the length of the indicated side be represented as "x".
The Theorem of proportionality can be extended and applied to find the indicated side.
Thus, based on the theorem, it is assumed that the parallel lines divides the transversals proportionally.
This implies that:
x/(77 - x) = 30/25
x/(77 - x) = 6/5
Cross multiply
x(5) = 6(77 - x)
5x = 462 - 6x
Add 6x to both sides
5x + 6x = 462
11x = 462
x = 462/11
x = 42
How to write -x^2+12-8x=-3 in standard form
Answers
Answer:
-x^2-8x+15=0
Please mark as brainliest
Answer:
give me a min if you can
Step-by-step explanation:
A plane is flying at an altitude of 300 meters on a heading
towards both a maintenance hangar and the main runway.
The pilot sights the end of the main runway at
an angle of depression of 15°. She then sights the
maintenance hangar at an angle of depression
of 32°. What is the distance between the end of
the main runway and the maintenance hangar?
Answers
peggy drives for 3 hours at an average speed of 61 miles per hour. Then when she crosses over into the next state she is able to drive the next 2.5 hours at an average speed of 72 miles per hour.
what was her average speed for the entire trip?
Answers
Answer:
65 miles per hour
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7), (4,9)}
O {(7.9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1), (-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)
Answers
50000000000000000000000000000000000000000000
Answer:
{(7.9), (13,-2), (8,4), (7,0), (4,12)} is a function
Step-by-step explanation:
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
Answers
Answer:
The domain is [tex]D_C = [0,\infty)[/tex]
The range is: [tex]R_C = [20,\infty)[/tex]
Step-by-step explanation:
Domain and range of a function:
The domain of a function are the values that the input assumes, while the range are the values that the output assumes.
In this question:
[tex]C(m) = 0.05m + 20[/tex]
m is the input, which is the number of phone calls, which can be any number between 0 and infinite. So
The domain is [tex]D_C = [0,\infty)[/tex]
When the input is m = 0, the value of C(0) = 20. As m increases, so does C(m). This means that:
The range is: [tex]R_C = [20,\infty)[/tex]
Answer:
Option 1 because
domain: m is Greater than or equal to zero
range: C is greater than or equal to twenty
Step-by-step explanation:
The (C) cost of the bill is always going to start at twenty and be higher depending on how many (m) minutes were used.
Edg2021
Where is the blue point on the number 0 0 4 4 − 4 −4 ?
Answers
Answer:
The answer should be -12
Which shape is the base of the pyramid shown below?
A triangle
B square
Answers
hope that helps!
Answer:
B. it's a square pyramid so the base is a square.
Step-by-step explanation:
What is the median of the data represented by the box plot?
enter your answer in the box
Answers
Answer:
[tex]Median= 20[/tex]
Step-by-step explanation:
Given
The attached box plot
Required
The median
The median is represented by the vertical line inside the rectangle on the box plot.
Using the description above to read the median from the given box plot.
[tex]Median = 20[/tex]
It is also the same as the second quartile
Wanda drove 392 miles in 14 hours. What is her unit rate of miles per hour?
Answers
Someone please help me answer this!!
Answers
Answer:
10
Step-by-step explanation:
For this you can use the pythagorean theorem such as (a^2 + b^2) = c^2 so the answer will be ten
help me please!!!!
The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π.
A. 7 m
B. 14 m
C. 24.5 m
D. 49
Answers
Answer:
= p× r²
= 3,14×7×7
= 21,98×7
= 153,86
[tex]153.86 \div 3.14 = 7[/tex]
Preston has spent 7hrs of the required 13hrs he needs for ALEKS. What percentage of time does he have left?
Answers
Answer:
he has 46.1538462% left
Step-by-step explanation:
7/13 = 0.538461538
1 - 0.538461538 = 0.461538462
An in-ground pond has the shape of a rectangular prism. The pond has a depth of 24 inches and a volume of 72,000 cubic inches. The length
the pond is two times its width.
Find the length and width of the pond to the nearest tenth.
Answers
Answer:
Should be
Width: 38.7
Length: 77.5
Please give me Brainliest and like
find the volume of this cylinder. geometry help
Answers
Answer:
Volume=3418.1 ft²
Step-by-step explanation:
Volume:π r² h
r=8 ft
h=17ft
π×8²×17
=3418.052 ft³
=3418.1 ft³
hope it helps...
ILS.
Carnival visitors
50
70
90
110
130
150
What fraction of the days did the carnival have 70 or fewer visitors?
Submit
Answers
Answer:
its 1/4 :)
Step-by-step explanation:
After observing the number of visitors, the fraction of the days that the carnival has 70 or fewer visitors is 1/3.
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction.
It can be written in the form of p:q, which is equivalent to p / q.
Given that,
There are 2 days with 70 or fewer visitors.
To find the required fraction,
Determine how many days out of the given total had 70 or fewer visitors.
Since there are 2 days with 70 or fewer visitors,
To calculate the fraction,
Divide the number of days with 70 or fewer visitors (2) by the total number of days (6).
So, the fraction is 2/6.
Simplifying this fraction yields 1/3.
Hence, the required fraction is 1/3.
To learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ4
Which number is a multiple of 7? A 27 B 48 C 56 ET D 74
Answers
Answer:
C. 56
Step-by-step explanation:
7*8=56
40 pts please help! picture below!
Answers
Answer:
B. 135
Step-by-step explanation:
CB is 45
AB= half of circle or 180*
So, 180-45=135
Therefore, the answer is 135* or b
hope this helps
Answer:
135 degrees
Step-by-step explanation:
Since the angle is measured from the center, the arc is the same as the angle measurement.
ACB = 180
AC + CB = 180
AC + 45 = 180
AC = 180-45 = 135
Which statement is true
Answers
Answer:
D
Step-by-step explanation:
hey man. trust me. quack
Answer:
i think that the answer might be d
If ∠1 and ∠2 are vertical angles and m∠2 = 108°, find m∠1.
Answers
Answer:
angle 1 = 108°
Step-by-step explanation:
because angle 1 and angle 2 are vertical angles and vertical angles are equal.
What is the slope of the line 4x + 2y = 8?
А 2
b -2
c 1/2
d -1/2
Answers
Answer:
x = -1/2y+2
Step-by-step explanation:
4x+2y=8
Step 1: Add -2y to both sides.
4x+2y+−2y=8+−2y
4x=−2y+8
Step 2: Divide both sides by 4.
4x/4 = -2y+8/4
x = -1/2y+2
Hope this helps!
Lincoln is seeking a loan with a simple interest rate of 8% per year. If he wants to borrow $5000, then how much will he be charged in interest for 24 months? $8,000 $9,600 $1,250 $800
Answers
Answer:
Lincoln will be charged $9,600.
Step-by-step explanation:
To find the answer we will first turn 8% into a decimal. 8 ÷ 100 = 0.08. Now multiply 0.08 by $5,000 and we get $400. then multiply $400 by 24 and we get $9,600. Therefore, $9,600 is our answer.
the distributive law requires
Answers
Answer:
The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Step-by-step explanation:
Example: "3" can be "distributed" across the "2+4" into 3 times 2 and 3 times 4.
Eli gave out a survey to some students in his school about their favorite color. 880 of those surveyed said their favorite color was red. If 88% of the students surveyed said their favorite color was red, how many students were surveyed in total?
Answers
Answer:
The answer is 1000.
Step-by-step explanation:
3|2z-4|-6>12
Solve for z
Answers
Answer:
312z-41-6>12
subtract -41-6
312z-47>12
add it on both sides
312z-47>12
+47 +47
312z>59
divide 312 to both sides
z<0.189
Answer:
can someone help me pls i dont know 2x=4=
Step-by-step explanation: