Answer : (0, -3) ; (4,21) and (2,9)
Step-by-step explanation:
y = 6x- 3
y =0*x-3 = -3 (0,3) is not a possible set y = 1*6-3 = 3 (1,-9) is not a possible set y = 6*2-3 = 9 (2,-15) is not a posiible set (0.-3) is a possible set as verified in the first one (2,15) is not a possible set since the output of 2 is 9 y = 4*6-3 = 21 so (4,21) is possible set (2,9) is a possible set as verified in the third oneAnswer: ( 0,-3), (2,9),(4,21)
Step-by-step explanation:
Find an equation of the line: through the points (4,2) and (3,1). PLEASAE HELP I ONLY HAVE 20 MINS LEFT
Answer:
y=x+-2
Step-by-step explanation:
Slope intercept form is y=mx+b
I plugged in the slope for m and y-intercept for b
sorry i did this real fast because it sounded urgent :)
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?
Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
The graph is missing; however, the question can still be solved
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
[tex]y = mx + b[/tex]
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
[tex]47.84 = 1.55 * 15 + b[/tex]
[tex]47.84 = 23.25 + b[/tex]
Subtract 23.25 from both sides
[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]
[tex]24.59 = b[/tex]
[tex]b = 24.59[/tex]
Solving for the monthly cost for 9 HCF
Here, we have that
[tex]x = Amount\ of\ water = 9[/tex]
[tex]m = Slope = 1.55[/tex]
[tex]b = 24.59[/tex]
Substitute these values in the linear function; [tex]y = mx + b[/tex]
[tex]y = 1.55 * 9 + 24.59[/tex]
[tex]y = 13.95 + 24.59[/tex]
[tex]y = 38.54[/tex]
Hence, the monthly cost for 9 HCF is $38.54
David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?
Answer:
B. 1 must be a root of the polynomial 3x^2+x-4
Step-by-step explanation:
Given polynomial
3x^2+x-4
Divided by factor x-1
Gives a remainder of 0
Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4
If x-1 is a factor of the polynomial, we can equate x-1 to 0
x-1=0
Solve for x to get one of the roots
x-1=0
Add 1 to both sides
x-1+1=0+1
x=1
B. 1 must be a root of the polynomial 3x^2+x-4
2. IQS = 4 and QR is a perpendicular bisector of TS , determined which of the following claims is true
Answer:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
Step-by-step explanation:
First, we have to determine the sides of the triangle.
4x-3=2x+1
4x-2x=1+3
2x=4
x=2
SO, RS=4x-3=4(2)-3=8-3=5
RT=2(x)+1=2(2)+1=5
QR=4²+b²=5². 16+b²=25. b²=25-16. b²=9. b=3
CLAIMS:
RS=5 TRUE
RS=4 FALSE (it’s 5)
ST=10 FALSE (it’s 8)
QR=4 FALSE (its 3)
ASAP!!! ON A TIME LIMIT!!!
Which expression is equivalent to 10k+17-7j-18-11k
-8jk-1
-7j-k-1
-7j+k+1
-8j-k
Answer:
-7j-k-1
Step-by-step explanation:
10k + 17 - 7j -18 -11k
10k-11k
-1k
17-18
-1
-7j-k-1
What is the length of DF?
Answer:
7.06
Step-by-step explanation:
17/8 = 15/DF
DF = 7.06
A spinner has 3 options and a bag
has 4 numbered marbles. You spin
the spinner once and randomly
pull i marble. What is the PROB-
ABILITY of spinning the letter 'C'
or pulling an odd number?
Answer:
1/6
Step-by-step explanation:
Spinner = 1 out of 3
Marbles = 2 out of 4
1/3x2/4=2/12=1/6
Perform all indicated operations, and express each answer in simplest form with positive exponents. Assume that all variables represent positive real numbers. Have to show all work.
Answer:
a. [tex]-( 4\sqrt{3} + 3)[/tex]
b. [tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]
c. [tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]
d. [tex]45 + 12\sqrt{5y} + 4 y[/tex]
e. [tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]
Step-by-step explanation:
a.
[tex]\sqrt{12} - \sqrt{108} - \sqrt[3]{27}[/tex]
Expand each expression
[tex]\sqrt{4*3} - \sqrt{36 * 3} - \sqrt[3]{3*3*3}[/tex]
Split the first two surds
[tex]\sqrt{4}*\sqrt{3} - \sqrt{36} * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]
Apply law of indices
[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3^3}[/tex]
Apply law of indices
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{3*\frac{1}{3}}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{1}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3[/tex]
[tex]2\sqrt{3} - 6\sqrt{3} - 3[/tex]
[tex]- 4\sqrt{3} - 3[/tex]
Factorize
[tex]-( 4\sqrt{3} + 3)[/tex]
The expression cannot be further simplified
b.
[tex](\frac{x^{\frac{-3}{4}}y^{\frac{2}{3}}}{x^{\frac{-1}{3}}y^{\frac{-5}{8}}})[/tex]
Expand the expression
[tex](\frac{x^{\frac{-3}{4}} * y^{\frac{2}{3}}}{x^{\frac{-1}{3}} * y^{\frac{-5}{8}}})[/tex]
Apply the following law of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
[tex]x^{{\frac{-3}{4} - \frac{-1}{3}}} * y^{{\frac{2}{3} - \frac{-5}{8}}}}[/tex]
[tex]x^{{\frac{-3}{4} + \frac{1}{3}}} * y^{{\frac{2}{3} + \frac{5}{8}}}}[/tex]
Add the exponents
[tex]x^{\frac{-9+4}{12}} * y^{{\frac{16+15}{24}}}}[/tex]
[tex]x^{\frac{-5}{12}} * y^{{\frac{31}{24}}}}[/tex]
[tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]
The expression cannot be further simplified
c.
[tex]\frac{8}{\sqrt{x} - \sqrt{5}}[/tex]
Rationalize the denominator
[tex]\frac{8}{\sqrt{x} - \sqrt{5}} * \frac{\sqrt{x} + \sqrt{5}}{\sqrt{x} + \sqrt{5}}[/tex]
[tex]\frac{8(\sqrt{x} + \sqrt{5})}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]
Simplify the numerator
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]
Simplify the denominator by difference of two squares
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{\sqrt{x}^2 - \sqrt{5}^2}[/tex]
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]
The expression cannot be further simplified
d.
[tex](3\sqrt{5} + 2\sqrt{y})^2[/tex]
Expand the expression
[tex](3\sqrt{5} + 2\sqrt{y})(3\sqrt{5} + 2\sqrt{y})[/tex]
Open the bracket
[tex]3\sqrt{5} (3\sqrt{5} + 2\sqrt{y})+ 2\sqrt{y}(3\sqrt{5} + 2\sqrt{y})[/tex]
Open both brackets
[tex]3\sqrt{5} *3\sqrt{5} + 3\sqrt{5}*2\sqrt{y}+ 2\sqrt{y}*3\sqrt{5} + 2\sqrt{y}*2\sqrt{y}[/tex]
[tex](3\sqrt{5} *3\sqrt{5}) + (3\sqrt{5}*2\sqrt{y})+ (2\sqrt{y}*3\sqrt{5}) + (2\sqrt{y}*2\sqrt{y})[/tex]
Multiply each expression in the bracket
[tex](3*3\sqrt{5*5}) + (3*2\sqrt{5*y})+ (2*3\sqrt{5*y}) + (2*2\sqrt{y*y})[/tex]
[tex](9\sqrt{25}) + (6\sqrt{5y})+ (6\sqrt{5y}) + (4\sqrt{y^2})[/tex]
Solve like terms
[tex](9\sqrt{25}) + (12\sqrt{5y}) + (4\sqrt{y^2})[/tex]
Take square root of 25 and y²
[tex](9 * 5) + (12\sqrt{5y}) + (4 * y)[/tex]
[tex](45) + (12\sqrt{5y}) + (4 y)[/tex]
Remove the brackets
[tex]45 + 12\sqrt{5y} + 4 y[/tex]
The expression cannot be further simplified
e.
[tex]-\sqrt{\frac{3}{5x}}[/tex]
This expression can not be simplified; However, it can be rewritten, by applying law of indices as
[tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
edg2020
What is the domain of this function graphed above?
Answer:
domain: x cant be equal to 3.75
Step-by-step explanation:
I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.
Anyway, here are my calculations. If the help you somehow to solve the question - great!
If not,srry to disappoint you
how do you solve this question?
Answer:
[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
for any real x different from 1
[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]
if f(x)=2x
f'(x)=2
if g(x)=-ln(1-x)
[tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]
So antiderivative of
[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]
Is
2x-ln(1-x)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7
Answer:
B. 13
Step-by-step explanation:
Flower Power Day Number of Flowers median = 37
Rose in the Hand Day Number of Flowers median = 50
50 - 37 = 13
I dont understand how they got that awnser
Answer:
its quite simple...
the formula to find volume= width x height x length ( or area x length)
Step-by-step explanation:
of A
width =5 cm height= 9cmof B
width= 3height= 2length of whole prism= 4
Volume (A)= w x h x l
= 5 x 9 x 4
= 180 cm³
volume (B)= w x h x l
= 3 x 2 x 4
= 24 cm³
add both values to get the volume of whole prism = 180 + 24
= 204 cm³
What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374
Answer:
121
Step-by-step explanation:
This is an arithmetic sequence.
First term a = -15
Common difference [d] = second term - first term
= -11 - [-15] = -11 + 15 = 4
nth term = a + (n-1) * d
35th term = -15 + (35 - 1) * 4
= -15 + 34 * 4
= - 15 + 136
= 121
Answer:
121 and 257
Step-by-step explanation:
So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].
Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].
Mikel has a chance to win a trip on a TV game show. All he has to do is win the "Shopping Game". In this game, Mikel is shown six grocery store items without being shown the prices. He must buy multiples of items until he has a total between $20 and $21 inclusive. If he doesn’t reach $20 with his first item, he continues buying items and adding to his total, until he either wins by getting an amount between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20. First, Mikel buys six bottles of shampoo.
Write a compound inequality
Answer: $20 <= X < = $21
Step-by-step explanation:
According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.
That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.
If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,
$20 <= X < = $21
Why is the HCF x*2 ? Please explain thanks for number d
Answer:
x² is HCF (Height common factor)
Step-by-step explanation:
Given:
x² , x³
Find:
HCF (Height common factor)
Computation:
HCF (Height common factor) is uused to find Height common factor from the given numbers.
x² , x³
Takling x² as common
x² (1 , x)
So,
x² is HCF (Height common factor)
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?
Answer:
perimeter of a cuboid is 4(L+B+H).
so, L=1m, B=0.4m,H=0.8m
substituting by formula,
4(1+0.4+0.8)
= 4(2.2)
=8.8
AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m
Step-by-step explanation:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
3.04 m^2
Step-by-step explanation:
A function g(x) has x-intercepts at (StartFraction 1 Over 2 EndFraction, 0) and (6, 0). Which could be g(x)? g(x) = 2(x + 1)(x + 6) g(x) = (x – 6)(2x – 1) g(x) = 2(x – 2)(x – 6) g(x) = (x + 6)(x + 2)
Answer:
[tex]g(x) = (x-6)(2x-1)[/tex]
Step-by-step explanation:
[tex]g(x)[/tex] intercepts the x-axis at these 2 points:
[tex](6,0) ;(1/2,0)[/tex]
⇒ 6 and 1/2 are roots ie; if you insert [tex]x=6[/tex] or [tex]x=1/2[/tex] into the equation of g(x) you will obtain a 0.
[tex]g(6) = g(1/2) = 0[/tex]
now in order for 0 to appear we should have [tex]x-6[/tex]
now in order for 0 to appear we should have [tex]x-1/2[/tex]
but [tex]x-1/2[/tex] doesn't appear in any of these, but its multiple of 2 is there:
[tex]2(x-1/2) = 2x-1[/tex]
Therefore the function;
[tex]g(x) = (x-6)(2x-1)[/tex]
Answer:
b
Step-by-step explanation:
3/7 of the people who live in the apartment building are men. 5/8 of the remaining people are women. The rest are children. a total of 275 men and women live in the building. How man people live in the apartment building altogether?
Answer:
Step-by-step explanation:
people in building ---- x
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x
y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280
So we have 280 people in the building.
check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women
so we have 120 men, 100 women and 60 children!
Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:
Answer:
P''(1, 7)
Step-by-step explanation:
4 units right and 1 left will add a net of +3 to the x-coordinate.
2 down and 5 up will add a net of +3 to the y-coordinate.
The coordinates of P with 3 added to each are ...
P'' = P(-2, 4) +(3, 3) = P''(1, 7)
The perimeter of the rectangle below is 94 units. Find the value of x.
Answer:
The value of x = 9 units
Step-by-step explanation:
The complete question is attached to this solution.
The perimeter of a rectangle is given as
P = 2 (L + B)
L = Length of the rectangle = 3x - 1
B = Breadth of the rectangle = 2x + 3
P = Perimeter of the rectangle = 94 units
94 = 2 [(3x - 1) + (2x + 3)]
3x - 1 + 2x + 3 = (94/2) = 47
5x + 2 = 47
5x = 47 - 2 = 45
5x = 45
x = (45/5) = 9 units
Hope this Helps!!!
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time?
Answer:
Andy
Step-by-step explanation:
Let's say that x is Andy's speed, and d is the distance he traveled.
The time it takes Andy to reach his friend is d/x.
The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.
The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).
The total time is d/x + d/(10x) = 1.1 d/x.
It takes Ashley 1.1 times longer to reach the friend. Andy gets there first.
Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish
Answer:
9 tomato and 23 radish
Step-by-step explanation:
r - number of radish seeds
t - number of tomato seeds
$1.75r + $2.50t = $62.75
1.75 (23) + 2.50 (9) = 62.75
40.25 + 22.5 = 62.75
$62.75 = $62.75
The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.
Hope that helps.
Answer:
9 tomato and 23 radish
Step-by-step explanation:
Graph y=-3x+7 Plz help me
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!
Write the following decimals as fractions.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
0.77 as a fraction is 77/100.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
0.2904 as a fraction is 2904⁄10000 unsimplified. (Simplified would be 363⁄1250)
Answer:
8a) 0.2904=363/1250
8b) 0.77=77/100
Step-by-step explanation:
Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.
What errors did Lewis make? Check all that apply.
He simplified incorrectly. It should be 20 instead of 200.
He found the difference between the hypotenuse and the short leg instead of the long leg.
He evaluated incorrectly. It should be .
He evaluated incorrectly. It should be .
He should not have taken the square root of each side to get rid of the exponent.
*see the attachment below showing Lewis' work
Answer:
*He simplified √400 incorrectly. It should be 20 instead of 200.
*He found the difference between the hypotenuse and the short leg instead of the long leg
Step-by-step explanation:
=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.
=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.
The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4
Answer: A & B homies...
person up top is correct also...
Step-by-step explanation: on edg 2020
What is the sum of the probabilities in a uniform probability distribution? A) 0 B) infinite C) 1 D)2
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Probability.
Basically we have to know that, when there is a specific event for which a probability has to be done, there are always two possibilities that is,
Event favourable and Not Favourable.
the Sum of both always end up as 1.
thus sum of the probability distribution is 1.
The sum of the probabilities in a uniform probability distribution is 1.
Hence, option C is the right choice.
What is a uniform probability distribution?A uniform distribution is a probability distribution in which all events have the same probability.
Because the chances of drawing a heart, a club, a diamond, or a spade are equal, a deck of cards has uniform distributions.
How do we solve the given question?The general formula for the probability density function (pdf) for the uniform distribution is: f(x) = 1/ (b - a) for a ≤ x ≤ b.
To find the sum of all the probabilities in a uniform probability distribution, we do the integral over f(x).
[tex]\therefore SUM = \int_{a}^{b}f(x)dx\\or, SUM = \int_{a}^{b}\frac{1}{b-a}dx\\or, SUM = \frac{1}{b-a}\int_{a}^{b}dx\\or, SUM = \frac{1}{b-a}[x]_{a}^{b}\\or, SUM = \frac{1}{b-a}(b-a)\\or, SUM = 1[/tex]
The sum can also be found using the graph attached, calculating the area of the red rectangle.
∴ The sum of the probabilities in a uniform probability distribution is 1.
Hence, option C is the right choice.
Learn more about uniform probability distribution at
https://brainly.com/question/20411994
#SPJ2
In circle C, what is mArc F H?
Answer:f
Step-by-step explanation:
Answer: 31 degrees
Step-by-step explanation:
a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work !
Answer:
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
Step-by-step explanation:
The solution is,
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
a) ∠D = 90
i.e. ∠A= 90 - 55 = 35
b) similarly,
∠CBD = 90-29
=61
c) m AD is sin55 = AD/40
i.e. AD = 32.77
d) m BC is sin 29 = 22.94/BC
i.e. BC = 47.32
e) m CD is tan 29 = 22.94/CD
i.e. CD = 41.38
f) m BD is cos 55 = BD/40
i.e. BD = 22.94
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pls i need help 15 points!!!!! The treehouse will be 8 feet off the ground. Peter will hang a rope, with knots tied for footholds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
First, we can figure out how many additional inches of rope are needed. If there are 8 knots, 16 additional inches will be needed. Peter would need 9 feet 4 inches of rope, or 112 inches.
The formula for finding the length of the rope needed would be 8+2n.
Hope this helps!
Answer:
112 inches
Step-by-step explanation:
Each knot needs 2 inches of rope
There are 2 knots
2*8 = 16 inches
He wants 8 ft from the ground, but he wants it in inches
8 ft* 12 inches per foot = 96 inches for the rope
96+ 16 =112 inches of rope