Answer:
How many days will it take for the water to be 4m high?
Step-by-step explanation:
use the missing variable.
Which are undefined terms that can be used to define other terms?
O point, segment, ray
O point, line, plane
O line, plane, cube
O line, ray, angle
Answer:
Point, Line, Plane
Step-by-step explanation: They are undefined terms because its is easier to define them using examples rather than word for word
Please solve this system of equations.
5x-2y=9
12x-8y=4
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
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
68% confidence level
So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
What is the p-value?The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.
In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.
[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]
where z has a p-value of 1-[tex]\alpha /2[/tex]
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
n = 100, [tex]\pi[/tex] = 20/100 = 0.2
So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]
z = 0.995
The lower limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]
The upper limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]
Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Learn more about p-value ;
https://brainly.com/question/15407907
I need help answering this question above! Nobody is answering it
Answer:
(54, 27)
Step-by-step explanation:
2y will represent the larger number.
2y + y = 81
3y = 81
y = 27
x = 2y
x = 2(27)
x = 54
x = 54
y = 27
(54, 27)
32 pages to 28 pages.
Answer:
12.5%
Step-by-step explanation:
percent change is calculated as
[tex]\frac{change}{original\\}[/tex] x 100
change = 32 − 28 = 4 pages
[tex]\frac{4}{32}[/tex] x 100% = [tex]\frac{100}{8}[/tex] % = 12.5 %
Hope it helps
what is the circumference of a circle with a radius of 5 inches?
Answer:
31.42 in.
Step-by-step explanation:
the formula for circumference of a circle is 2 x pi x r(radius).
by inserting the number 5 into the formula, we get approximately 31.42 inches.
Answer:
about 31.42 inches
Step-by-step explanation:
2 pi r = 2 × pi × 3 = 31.41593 inches
i think i did the math right
A 2-gallon jug of juice costs $14.72. What is the price per cup?
Answer:
3we
Step-by-step explanation:
rffd
What’s the answer and work to this? Someone please tell me
Answer:
14
Step-by-step explanation:
If you list all the values in increasing order, the median is the values in the middle if there is an odd number of values. If the number of values is even, then the median is the average of the two middle values.
The given values are:
19, -3, 7, 1, 8, 18, 42
Let's write all the values in increasing order.
-3, 1, 7, 8, 18, 19, 42
There are 7 values. The median now is 8, the value right in the middle. We need to add one value, so there will be 8 values in total. Since the number of values will be even, the median will be the average of the two middle values.
Since the median must be 11, the value we need to add is x which must be greater than 8.
-3, 1, 7, 8, x, 18, 19, 42
(8 + x)/2 = 11
8 + x = 22
x = 14
Answer: 14
Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10
Answer:
39/20 = 1.95
That's my simplified answer
39/20 = 1 19/20
Will this help?
Step-by-step explanation:
Answer:
[tex]1\frac{19}{20}[/tex]
Step-by-step explanation:
Which expressions below are equivalent to 5 + 4(x - 7)? Select all that apply. A. 5 + 4x + 28 B. 4x - 28 + 5 C. 4x - 23 D. 9x - 28
Answer:
C
Step-by-step explanation:
you have to multiply 4 by x-7 thats equal to 4x - 28 then you have to substract 5 to 28 thats equal to 23 so the answer is 4x -23
Working Two Jobs. Maggie has a job working in an office for $10 an hour and another job driving a tractor
pays $16 an hour. Maggie works at both jobs and earns $480 in one week.
Answer:
x*$10 + y*$16 = $480
Step-by-step explanation:
The question seems incomplete, and after a search online I've found a lot of similar questions with similar numbers, so I really can not be sure of which one is the complete question.
I suppose that we want to get a linear equation that describes the given situation:
Let's define two variables:
x = number of hours that Maggie works in the office (for $10 each)
y = number of hours that Maggie works driving a tractor (for $16 each).
Then the total amount of money that Maggie gets is:
x*$10 + y*$16
Now we know that she earns $480 per week, then we know that:
x*$10 + y*$16 = $480
This is a linear equation we wanted to get, where (just to be complete) we need to add the restrictions:
x ≥ 0
y ≥ 0
(this means that she can not work a negative number of hours).
Question 8 of 10
Simplify (7 + 1)2 – (11 + 32) - 4.
Answer:
Does anyone watch shaurya aur anokhi ki on star plus an Indian serial you'll love it I guarantee
The probability that Ismael makes a basket is 7/10. If he shoots 100 baskets, how many can he expect to make?
Answer:
70 baskets
Step-by-step explanation:
Let b be the number of baskets he will make if he shoots 100 baskets.
[tex]\frac{7}{10} =\frac{b}{100} \\700=10b (now divide by 10 from both sides)\\[/tex]
NAMING BRAINLIEST
What is the value of the expression 7 + (16 − 7) ÷ 3 + 8?
Answer:
18
Step-by-step explanation:
Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly, you add 7+3+8=18.
The product will be 18.
Hope this helps! :)
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
find the area of the large and small rectangles :,))
Answer:
the area of the large rectangle is 120m squared in the area of the smaller triangle is 14m squared
Answer:
Area of large rectangle = 120m²
Area of small rectangle = 14m²
Step-by-step explanation:
Large rectangle:
Length = 12m
Breadth = 10m
Area of rectangle = l × b
Area = 12 × 10
Area = 120m²
Small rectangle:
Length = 7m
Breadth = 2m
Area of rectangle = l × b
Area = 7 × 2
Area = 14m²
Give two ways a debit card can be used.
Answer:
pay for something and get money from ATM
Step-by-step explanation:
Find the missing side x=
Please help ASAP I will mark brainlist.
Answer:
Step-by-step explanation:
Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answer:
12(3/4)=9
12/4=3
3•3=9
Solve for m Help please
Here m = angle UST
angle UST= 90° - 32° = 58°
Find the probability that a randomly selected point within the circle falls in the white area
Answer:
67%
Step-by-step explanation:
out of 6 sections, 4 are white
therefore, 4/6 or 67% have a chance of landing in white areas
PLEASE HELP ASAP!!!
What is the surface area of the prism below?
In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt
Answer:
Step-by-step explanation:
lets have the shirts represent s and the ties t.
1. 6s+3t=79.50
2. 3s+2t=41
These would be the equations.
you multiply the second equation by -2 to cancel s and add both equations.
6s+3t=79.50
-6s+-4t=-82
-1t=-2.5 (after adding you divide by -1)
t=2.5
You can then subsitute that in either equation.
I am going to ue teh second one.
3s+2t=41
3s+2(2.5)=41
3s+5=41 (subract 5 to isolate variable)
3s=36 (divide by 3 to isolate variable)
s=12
Hence, one shirt is 12$.
What are the solutions of the quadratic equation 4x2 - 8x – 12 = 0?
Answer:
see bottom
Step-by-step explanation:
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
JUST ANSWER NUMBER 3 PLEASE
Answer:
101.6 (option b)
Step-by-step explanation:
12 * 3 = 36
36 + 4 = 40
40 * 2.54 = 101.6
The population of a city decreases by 2.5% per year. If this year's population is 237,000, what will next year's population be, to the nearest individual?
Please help me
Adjust to compatible numbers that count by 50s, and then subtract to
estimate the difference.
301 - 52 =
Answer:
249
Step-by-step explanation:
301 - 52 = 249
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
Jamal has 15.00 to spend at the concession stand. He buys nachos for 7.50. and he wants to purchase some sour straws for 1.50 each. How many sour straws can Jamal purchase with the money that he has.
I NEED HELP PLEASE
PLEASE give me the variable please please please and the inequality please no links I will report you comment and answer
ILL GIVE BRAINLIEST
Answer:
Inequality is 15 = 7.5 + 1.5x
x = 5, he can buy 5 sour straws
Step-by-step explanation:
For the inequality, just set the total money he has (15) equal to the total cost of the nachos (7.5) and sour straws (1.5)
Since we don't know how many straws he can buy, use a variable, I used x.
You get 15 = 7.5 + 1.5x, which solved out gives you x = 5.
Hopefully this helps - let me know if you have any questions!
Marking as brainiest
Each student in a class recorded how many books they read during the
summer. Here is a box plot that summarizes their data. What is the Range
of the data?
. 8
10 1 18
number of books
Your answer
This is a required question