Answer:
y=2x+2 in slope-intercept form
y-4=2(x-1) in point-slope form
Step-by-step explanation:
I used the slope to find other points and the the y-intercept to put it into slope-intercept form.
I plugged the numbers into the formula and got the point-slope equation.
A teacher kept track of what students consumed at a school picnic. For three grades, the ratios of the amount of water consumed to the amount of fruit juice consumed were equivalent
6th: 5 water 6 juice
7th 20 water ___ juice
8th 10 water ____juice
Answer:
the first one is 21 and the second one is 11
Step-by-step explanation:
I am not 100 percent sure
Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5
Answer:
y=1/3x-2/5
Step-by-step explanation:
Determine whether it is possible to draw a triangle with sides having the given measures. If possible, write yes. If not possible write no and make a sketch demonstrating why it isn’t possible
Answer: No, it is not possible to form a triangle with these side lengths.
The sketch is provided below
==========================================================
Explanation:
The triangle inequality theorem says that the sum of any two sides must be larger than the third side.
But notice that 5+6 = 11 which is not larger than 12.
I recommend cutting out slips of paper that are 5 inches, 6 inches and 12 inches long. You can also use software to get the job done, which is what I did. You should see that it is impossible to form a triangle. If you place the 5 inch and 6 inch slips on either end of the 12 inch portion, then you should see the we effectively have an open-ended "triangle". I'm putting it in quotes because we don't have a triangle forming, but instead what looks to be an incomplete version of it.
The sketch of what I'm referring to is shown below. I used Geogebra to make the drawing. Imagine the red and blue segments able to swing freely while the green horizontal segment stays completely still. No matter how the red and blue segments rotate, they will never meet up to form a triangle.
The dashed circles show the range of motion that is possible for each swinging red and blue segment. If the red and blue segments lay perfectly on top of the green segment, they add to 5+6 = 11, which comes up short of the 12 inch segment.
No, it is not possible to draw a triangle with sides measuring 5ft, 6ft, and 12ft.
What is a Triangle?The polygon known as a triangle has three sides and three vertices.
The triangle's total angle is 180 degrees.
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
The reason is that according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
However, in this case, 5ft + 6ft = 11ft, which is less than the length of the third side, 12ft.
Therefore, a triangle cannot be formed with these side lengths.
To demonstrate why it isn't possible, you can draw a line segment of length 12ft and label it as the third side of the triangle.
Then, try to draw the other two sides (5ft and 6ft) originating from the same endpoint as the 12ft side.
You will notice that the two sides will never meet to form a triangle, since they are too short to bridge the gap between the two endpoints of the 12ft side.
To learn more about the triangle;
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Can someone please help, ty!!
(Will mark brainliest)
Answer:
3rd one
Step-by-step explanation:
Answer:
1 AND 3 it was hard........
When dividing a whole number by a power of ten that is greater than one, what happens to the quotient?
The quotient stays the same as the dividend.
The quotient becomes larger than the dividend.
The quotient becomes smaller than the dividend.
The quotient can become larger or smaller depending on the dividend.
Answer:
The quotient becomes smaller than the dividend.
Step-by-step explanation:
Given:x+=9 prove x=4
Reasonable Answer:
If x is 4, then the answer is 13 or 5.
Step-by-step explanation:
9-4=5
For another reason it's 13.
4 minus 13 =9
~~~Hope this helps~~~:)
HELP ME ANSWER THIS PLEASEEE!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Apply the fraction rule,
Divide the Numbers,
Factor the Number, then cancel the common factor!
The amount $3.80 is 4% of what price?
Answer:
$95
Step-by-step explanation:
3.8=4%
100÷4=25
3.8×25
If it i´snt correct sorry :(
Answer:
$3.80 is 4% of $95.
Step-by-step explanation:
To solve this problem, divide 3.8 by 0.04.
3.8 / 0.04 = 95.
To check your math, multiply 95 by 0.04.
95 x 0.04 = 3.8
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
CAN SOMEONE PLEASE HELP ME ON THIS!!?
Answer:
w = 3.5
Step-by-step explanation:
what is 0.44×(−534) ??
Answer:
−234.96
Step-by-step explanation:
Hope its the right answer that you're looking for :)
A race car has gas mileage equal to 5.48 kilometers per liter. What is the car's gas mileage in miles per gallon?
Answer:
The probability that a car has a gas mileage between 29.8 and 30.3 miles per gallon is 0.0955
Step-by-step explanation:
Two points are selected randomly on a line of length 32 so as to be on opposite sides of the midpoint of the line. In other words, the two points X and Y are independent random variables such that X is uniformly distributed over [0,16) and Y is uniformly distributed over (16,32]. Find the probability that the distance between the two points is greater than 9.
Solution :
Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]
If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex] which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].
And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.
The area if the triangle is = [tex]$\frac{1}{2} \times 9 \times 9$[/tex]
= [tex]$\frac{81}{2}$[/tex]
Now the entire area is [tex]$(16)^2$[/tex] = 256
Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]
or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]
Thus the answer is [tex]$\frac{431}{512}$[/tex]
Find the value of a and b in the following = a + b
g(x) = 5x h(x) = - 11x ^ 3 + 10x ^ 2 - 2x + 5
Answer:
x(9x – 10).
Step-by-step explanation:
An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally distributed with mean of 800 hours and standard deviation of 40 hours.
A. Find the probability that a bulb burns between 778 and 834 hours.
B. A random sample of 40 bulbs from that firm is selected. What is the probability that the average light bulb life is at least 820 hours?
Answer:
(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.
(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Step-by-step explanation:
Let X denote the life time of light bulbs.
It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.
(A)
Compute the probability that a bulb burns between 778 and 834 hours as follows:
[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]
Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.
(B)
Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:
[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]
Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.b) 0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 800 hours, hence [tex]\mu = 800[/tex].Standard deviation of 40 hours, hence [tex]\sigma = 40[/tex].Item a:
The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:
X = 834:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{834 - 800}{40}[/tex]
[tex]Z = 0.85[/tex]
[tex]Z = 0.85[/tex] has a p-value of 0.8023.
X = 778:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{778 - 800}{40}[/tex]
[tex]Z = -0.55[/tex]
[tex]Z = -0.55[/tex] has a p-value of 0.2912.
0.8023 - 0.2912 = 0.5111
0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.
Item b:
Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].
The probability is 1 subtracted by the p-value of Z when X = 820, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]
[tex]Z = 3.16[/tex]
[tex]Z = 3.16[/tex] has a p-value of 0.9992.
1 - 0.9992 = 0.0008
0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
For the function, find f (−2), f (−0.5), and f (3).
f(x) = −5x + 2
Answer:
2
Step-by-step explanation:
becaue i siad so
When dividing 39,100 by 100, the digits in the quotient will move how many places to the right?
When dividing 810,000 by 1,000, the digits in the quotient will move how many places to the right?
When dividing 360 by 10, the digits in the quotient will move how many places to the right?
Answer:
1. 2 places. 2. 3 places. 3. 1 place.
Step-by-step explanation:
1. Since there is 2 zeroes in 100, you move the digits 2 places to the right.
2. The same thing happens here, but with 3 zeroes.
3. The same happens, but with 1 zero.
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
which rule best described the following pattern 5,6,15,16,25,26,35
Kaylee has $0.90 worth of nickels and dimes. She has a total of 14 nickels and dimes altogether. By following the steps below, determine the number of nickels, x,x, and the number of dimes, y,y, that Kaylee has.
Answer:
4 Dimes And 10 Nickles
Step-by-step explanation:
Mutiply 4 by ten that equals 40 then multiply 10 by 5 and get 50
Jeanne makes hair bows to sell at the craft fair. Each bow requires 1.5 yards of ribbon.
At the fabric store, ribbon is sold by the foot. A. If Jeanne wants to make 84 bows, how many feet of ribbon must she buy?
B. If the ribbon costs 10¢ per foot, what is the total cost of the ribbon in dollars?
Answer:
A:42 B:$4.20
Step-by-step explanation:
A: 84x1.5=126 126/3=42
B: 42x10=420=$4.20
A tent with a price of $165 is subject to a sales tax of 5%. What is the total price of the tent?
the answer is $173.25( I had a question for this and i got it correct hope this helps)
Determine the slope and intercept of each graph. Then, write the equation of the graph in slope-intercept form
Answer:
Slope= -1,2
Y-Int=(0,-1)
Equation= Y=-1/2x-1
Step-by-step explanation:
Which point is a solution to the inequality shown in this graph?
(0,4)
(-3,0)
Answer:
B.(-3,0)
Step-by-step explanation:
i just finished the test
(-3,0) point is a solution to the inequality shown in this graph.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
There are two solutions os inequality are;
(0,4)
(-3,0)
But only one solution is given in the graph as;
(-3,0)
Hence, the (-3,0) is the point that is a solution to the inequality shown in this graph. Option B is correct.
To learn more about inequility, refer to;
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Pls ASAP solve this question
answer:
ii- 7
iii- 5
Step-by-step explanation:
sorry if its wrong im not for sure
can someone help please
Answer: m<10 less than 10 is the answer so it would be m<10
Step-by-step explanation:
Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?
What is the y-intercept of this line?
A)
(2,0)
B)
(0, 2)
C)
(0,0)
D)
(0, -2)
What happens when you press the enter key at the end of a line of bulleted text.
Answer:
when you use to typewriter, you have to use the carriage return at the end of every line In a typewriter, the fundamental unit of display,if you like,is a line. You type a line, then use the carriage return.
the fundamental unit a Word document is a paragraph.
When you use to word processor,such as Word, you don't use the carriage return at the end of every line. You just keep typing. Type type type. Word knows where the margins are. You can see the margins, too: the dotted rectangle on the page show you where they are. Just keep typing and Word will wrap the text within the margins.
Make sure you can see when you've pressed Enter by clicking the q button on the Standard Tollbar or on the Home tab. The q is the end-of-paragraph market.It shows you when you've pressed Enter
Press Enter to indicate the end of a paragraph,not the end of a line.
You invested 50,000 in a bank that pays 4.5% monthly simple interest, How much do you have after 2.5 years?
Answer:
I trhink you´ll have 117000
my explanation:
4.5 × 12=54%
54%=1 year
54% + 54%
108% + 27%
135% =67000
67000 + 50000
