Answer:
1: 2x + y = 24
2: x - 3y = 54
Step-by-step explanation:
Answer:
[tex] y = - 3. \\ x = - 13.5[/tex]
Step-by-step explanation:
[tex]equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\
equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5
[/tex]
Refer to the data set of 20 randomly selected presidents given below. Treat the data as a sample and find the proportion of presidents who were taller than their opponents. Use that result to construct a 95% confidence interval estimate of the population percentage. Based on the result, does it appear that greater height is an advantage for presidential candidates? Why or why not?
Complete Question
The data for this question is shown on the first uploaded image
Answer:
The 95% confidence interval estimate of the population percentage is
[tex] 33.2\% < p < 76.8 \% [/tex]
Step-by-step explanation:
On the data the first value is the height of the president while the other value is the height of his opponent
The sample size is n = 20
Looking at the data we see that out of the 20 presidents that only 11 is taller than their opponent
So the proportion of presidents that are taller than their opponents is
[tex]\^ p = \frac{11}{20}[/tex]
=> [tex]\^ p = 0.55[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p) }{n}} [/tex]
[tex]E = 1.96 * \sqrt{\frac{0.55 (1- 0.55) }{20}} [/tex]
[tex]E = 0.218[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\r p -E < p < \r p +E[/tex]
=> [tex]0.55-0.218 < p < 0.55+ 0.218 [/tex]
=> [tex]0.332 < p < 0.768 [/tex]
Converting to percentage
[tex](0.332*100)\% < p < (0.768 *100) \% [/tex]
=> [tex] 33.2\% < p < 76.8 \% [/tex]
5(n-3)????????????!!!!!!!!
Answer:
5n-15Step-by-step explanation:
[tex]5(n-3)[/tex]
Expand
[tex]5\times n = 5n\\\\5\times -3 =-15\\\\5n -15[/tex]
A sewing kit includes a spool that holds 24 yards of thread
How many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)
Answer:
864 inches
Step-by-step explanation:
12*3=36
36*24=864
A sewing kit includes a spool that holds 864 inches of thread.
Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.
All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.
here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches
Thus, A sewing kit includes a spool that holds 864 inches of thread.
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Choose the answer that has correct common multiples of 4 and 6: 1, 2 12, 24, 36 2, 4, 12 6, 12, 24
Answer:
The common multiples would be 1, 2, 12, 24, and 36.
Step-by-step explanation:
1 goes both into 4 and 6.
2 goes into 4 and 6.
6x4=24/2=12, therefore 12 is a multiple of 6 and 4
21 is a common multiple because 6x4=4.
Hope I could help!
Solve the system of equations. y=4x+5 and y=3x-2, what's the solution
Answer:
x = -7 y=-23
Step-by-step explanation:
2 + 4s >10 aanswer
Answer:
s>2
Step-by-step explanation:
2 + 4s >10
First, subtract 2 on both sides.
2 + 4s >10
-2 -2
4s>8
Divide by 4 on both sides to isolate x.
4s>8
/4 /4
s>2
Hope this helped you out! Have a great day c:
help me plz thx alot
It is 180 degrees- hope this helps!
its like a word question?
The product of negative three and a number is equal to the sum of the number and four.
Answer:
-3+x=x+4
Step-by-step explanation:
Pls Mark Brainliest
Answer:
x = -1
Step-by-step explanation:
-3×x = 4+x
-3x-x = 4
-4x = 4
x = 4 ÷ -4
x = -1
Solve the following problem. A toolbox has 10 screwdrivers and 6 wrenches. Bella puts 8 more wrenches in the toolbox. How many more wrenches are in the toolbox than screwdrivers? » There are more wrenches than screwdrivers. ✓ DONE
Answer:
there are 4 more. hope this helps
Answer: 4 more wrenches than screwdrivers.
Step-by-step explanation: 6 + 8 = 14. 14 > 10 by 4.
A line contains the points (-26, -37) and (-32, -61). What is the slope of the line in simplified form? -3 −14 14 3
What is 6.92 x 10-3 written in standard form?
Answer:
6.92000
Step-by-step explanation:
because it has to be between q and 10
True or false don’t lie
Answer:
t
Step-by-step explanation:
falseeeeeeeeeeeeeeeeeeeeee
Please help me! Is the ordered pair, in the form (x, y) x , y , a solution of the equation below?
Ordered Pair: (−1, −12)
Linear Equation: 4x − y = 8
options:
True
False
Help the picture is above I’ll mark you as brainliest please show the work too.
Answer: what are you doing stepbro
Step-by-step explanation: i like doggos :)
3(2x + 7) - 2 (x + 5)
340 equals 72 more than y
Write the sentence as an equation.
Answer:
y+72=340
Step-by-step explanation:
PLS HELP
A. Alternate interior angles
B. Vertical angles
C. Supplementary angles
D. Alternate exterior angles
Answer:
b or c
Step-by-step explanation:
Answer:
A. Angles 4 and 5 are Alternate Interior Angles.
4(x + 1) – 2 = -6
Help please thx
Answer:
x=-2
Step-by-step explanation:
Answer:
the answer is 4
Step-by-step explanation:
stolz dies by Raza cgm Issa Ask hz
PLEASEEWW HELPPP WILL MARK BRAINLIESTTT
Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU?
A.) Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
B.) Translate GHJ by the directed in segment GS. Translate G’H'J by the directed line segment H'T. Translate G"H"J" by the directed line segment J"T.
C.) Translate GHJ by the directed line segment GS. Rotate G’H'J using S as the center by angle H'ST Reflect G"H"J" over ST.
D.) Translate GHJ by the directed line segment GT. Rotate G’H'J using T as the center by angle H'ST. Reflect G"H"J over ST.
The correct option is A. Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
There are four types of rigid motions that we will consider translation , rotation, reflection, and glide reflection.
Here we have to rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
Hence option A is correct that is Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
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55.6666666667 as a fraction
Answer: Step-by-step explanation:
What is 5.56666666667 as a fraction?
To write 5.56666666667 as a fraction you have to write 5.56666666667 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
5.56666666667 = 5.56666666667/1 = 55.6666666667/10 = 556.666666667/100 = 5566.66666667/1000 = 55666.6666667/10000 = 556666.666667/100000 = 5566666.66667/1000000 = 55666666.6667/10000000 = 556666666.667/100000000 = 5566666666.67/1000000000 = 55666666666.7/10000000000 = 556666666667/100000000000
And finally we have:
5.56666666667 as a fraction equals 556666666667/100000000000
2 is divided by the diference of a number and 7.
Answer:
2 divided by (x-7)
Step-by-step explanation:
Translation !! keep getting random people Please only answer if u really know ! Thanks
Answer:
The direction matters , but only in sign... so from A to A' is what i'm guessing is the direction of translation
Step-by-step explanation:
find the vector from A to A' or any of the other non prime to prime points.. the vector will be the same... soooo
take the origin point as P1 , then take the destination point a P2
and subtract P2-P1
P2 = A' = (6,-2)
P1 = A = (2, 1)
(6-2, -2-1) = (4,-3)
your vector can be place at the origin.. and go 4 in the x direction and -3 in the y direction and you get that translation.. make sense?
What is the slope of a line parallel to the line whose equation is 9x – 3y = 81. Fully
reduce your answer.
Answer:
Ok so right now that is in standard form (Ax+by=C) and we want to get this into y=mx+b form so that we can easily identify the slope. To do that we need to get y alone by folowing these steps:
9x-3y=81
9x-9x-3y=81-9x (in this step we are just getting rid of the x's from the left side so we can get y alone but since we subtract x from that side we need to subtract the same amount of x's on the other)
-3y=81-9x
-3y/-3=81-9x/-3 (finally to get y alone we need to divide by a -3. This is because any negative number multiplied or divided by another negative will give us a positive. If we divide by 3 then y will be negative which is incorrect. We have to divide by -3 on each side)\
y=81-9x/-3 -----> y=-27+3x ( in this part we have to divide everything on the right side of the equation by -3 as we did on the left side. 81/-3 = -27 and -9x/-3 = +3x.
our new equation is y=-27+3x although the proper form is y=mx+b.
all we need to do now is flip the 3x and -27 for this equation to match y-mx+b form. M in the equation represents the slope of an equation.
y=-27+3x---> y=3x-27
in this equation 3 is m and m represents the slope. For an line to be parralel to one another they must have the same slope. Therefore the slope of a line parallel to that equation is 3.
Step-by-step explanation:
The Slope of a line parallel to the line whose equation is 9x – 3y = 81 is 3.
What is the Slope of a line?A slope of a line is the change in y coordinate with respect to the change in x coordinate.
Given that the slope of a line parallel to the line whose equation is
9x – 3y = 81
Reducing the Equation in form of y = mx + c, where m is the slope,
9x - 3y = 81
3y = 9x - 81
y = 3x - 27
Since, two line when parallel have equal slope, so the slope of the given line is 3.
Hence, The Slope of a line parallel to the line whose equation is
9x – 3y = 81 is 3.
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One year ago, a tiger cub was 5 feet shorter than its mother. However, it grew 2 feet, and now its mother is only twice its size. How big was the tiger cub one years ago?
Answer:
1 foot
Step-by-step explanation:
Since the cub is 1 foot, that means the mother is 6 ft.
Assuming that the mother does not grow and the cub grows 2 feet, a year later the cub is 3 feet and the mother is 6 feet.
3 is half of 6, meaning the mother is twice the cub.
HELP WILL MARK BRAINLIEST
Answer: d
brainliest plz
Ricardo can type 39 words per minute. Estimate the number of words he can type in 18 minutes. 400 or 600 or 300 or 800
Answer:
800
Step-by-step explanation:
ROund 39 to 40 and 18 to 20.
This results in 40 x 20=800.
the model shows the expression of 30+12 whitch expression is equivelent to this sum
Answer:
6+5]4
Step-by-step explanation:
Answer the real-world problem below. Then, decide whether the answer is the GCF or the LCM. A local radio station is celebrating its 10th year on the air and is giving away prizes to callers. It is giving away a $10 bill for every 10th caller. It is also giving away free digital albums to every 8th caller. How many callers will call the radio station until someone wins both a $10 bill and a free digital album?
Answer:
LCMit will take 80 callsStep-by-step explanation:
The solution is LCM
the least common multiple of 10 and 8 are
10=10,20,30,40,50,60,70,80,90,........
8= 8,16,24,32,40,48,56,64,72,80,88..........
The least common multiple is 80
therefore it will take 80 callers to call in to win both the bills
kindly let me know if you need further clarification on this
Regards
Find the diameter of a circle whose circumference is 74cm
≈ 24 cm
Step-by-step explanation:Hi there !
c = 2πr } => c = πd => d = c/π
2r = d
replace c ; π
π =3.14
d = 74cm/3.14
= 23.5668
≈ 24 cm
Good luck !
Sean was at batting practice. He swung 25 times but only hit the ball 15 times. Write the simplified ratio for how many times Sean swung the bat compared to how many times he hit the ball.
Answer:
25:15
Step-by-step explanation: