Answer:
x = 3 and y = 1
Step-by-step explanation:
Give system of equations are :
8x-9y=15 ...(1)
−x+4y=1 ...(2)
Multiply equation (2) by 8.
−8x+32y=8 ..(3)
Add equation (1) and (3).
8x-9y -8x + 32y = 15+8
23y = 23
y = 1
Put the value of y in equation (2).
−x+4(1)=1
-x = -4+1
x = 3
Hence, the values of x and y are 3 and 1.
Mandy and Pete have a biased spinner numbered 1, 2, 3, 4, 5. They each want to find an estimate for the probability that the spinner will land on a 5. Mandy spins the spinner 20 times and records the number of times the spinner lands on a 5. Pete spins the spinner 200 times and records the number of times the spinner lands on a 5. Is Mandy or Pete more likely to get the better estimate? You must give a reason for your answer.
Answer:
Pete
Step-by-step explanation:
Given that:
Mandy's Estimate :
Number of spins , n = 20
Pete's Estimate:
Number of spins, n = 200
A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.
A high sample size give a narrower margin of error and increases the confidence level probability
Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x2 + 200x + 82
Answer:
Step-by-step explanation:
dy/dx = -32x + 200
maximum height when dy/dx = 0
-32x + 200 = 0
x = 6.25 seconds
y = -16·6.25² + 200·6.25 + 82 = 707 feet
Match the following expression 12(x-3)+18=6(x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?
Answer:
One solution, which is x=0.
Step-by-step explanation:
12(x-3)+18=6(x-3)
12x-36+18=6x-18
12x-18=6x-18
12x-6x-18=-18
6x-18=-18
6x=-18+18
6x=0
x=0/6
x=0
Xin answered 182 questions correctly on her multiple choice math final that had a
total of 200 problems. What percentage of questions did Xin answer correctly on the
final exam?
Answer:
91%
Step-by-step explanation:
182/200 = .91
.91 = 91%
Hope that helps!
The percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
Total number of problems = 200
Total number of Xin answered correctly = 182
Then the percentage of questions XIn answers correctly:
[tex]= \frac{182}{200} \times100[/tex]
= 0.91×100
= 91 %
Thus, the percentage of questions Xin answered correctly on the final exam is 91% if he answered the number of 182 questions correctly on her multiple choice.
Learn more about the percentage here:
brainly.com/question/8011401
Please answer will give brainliest
Answer:
yes
Step-by-step explanation:
Answer:
171
Step-by-step explanation:
I can give you the formula if u want
A mountain bike originally priced at $964.00 is up for sale at a discount of 11%. What is the price of the mountain bike after the discount?
Answer:
857.96
Step-by-step explanation:
964/100=9.64
9.64x11=106.04
964-106.04=857.96
Plz need help fast will mark the brainiest
Answer:
0.0081
Step-by-step explanation:
yes bye that's the answer
Answer:
0.0081
Step-by-step explanation:
mark as BRAINLIST I
1 pts
9) What is the area of the figure below? Round your answer to the nearest tenth (1 place
value) if needed. ONLY TYPE THE NUMBER, NOT THE UNITS. (Ex: If your answer is 13
cm, type 13)
3 m 6.6 m
?
Answer:
I think the answer is 19.8. The formula to calculate the area of the rhomboid is b × h (3.3 × 6.6 = 19.8)
A, B & C form a triangle where Z BAC = 90°.
AB = 1.2 mm and CA = 3.9 mm.
Find the length of BC, giving your answer rounded to 1 DP
Answer:
Step-by-step explanation:
bc is hypotunuse
therefore 1.2^2+3.9^2=BC^2
4.1(1dp)
what is the equation for this graph?
Answer:
I don’t know I think it is 1,8 tho
Step-by-step explanation:
Sorry if it’s wrong
Answer:
y= -4x+8 or -4/1x+8
Step-by-step explanation:
8 is the slope and it is positive
Rise over run is Right 4 and down 1 so that is Plus 4 and negative 1
Find y in the parallelogram
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
RS || UT , SU oblique
Thus :
[tex]y = 45[/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
please find x
plz help me plz
Answer:
x=18
Step-by-step explanation:
7x+15=141
7x=141-15
7x=126
7/7=126/7
x=18
have a good day!
pls brainliest
What are the coordinates of the points that will complete the square?
PLEASEEEE HELP I WILL GIVE BRAINLIEST
Answer:
(-2,-1)
Step-by-step explanation:
A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.
Answer:
Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.
te dejo la respuesta de todos modos
(-2,-1)
THIS IS ALSO URGENT- I NEED AN ANSWER ASAP PLS!
Answer:
c
Step-by-step explanation:
I had to multiply 4 and 3 to get the answer
what is the value of n?
enter answer in box
Answer:
6!
Step-by-step explanation:
chord x chord = chord x chord
(5) (n+8) = (7) (n+4)
i just started plugging in numbers
(5) (6+8) = (7) (6+4)
5 x 14 = 7 x 10
70=70
40 - (6 + 2) x (5 - 2)
what answer solved in pemdas form
Answer:
i dont know what level this is
Step-by-step explanation:
please solve! thanks!
Answer:
uhm no
Step-by-step explanation:
Answer:
arc 1 = 108 degrees
angle 2 = 54 degrees
Step-by-step explanation:
180 - 72 = 108 (half circle -72)
draw a line from center of circle to tangent point.
this line is perpendicular to the tangent line.
all radii are equal.
then, triangle made with the new line is isosceles with two equal angles.
those angles are 36 degrees each (180 - 108 = 72, 72/2 = 36)
line drawn from center to tangent point is 90 degrees so:
90 - 36 = 54 degrees
Question please answer thanks if you do
Answer:
Radius = 6 ft
Diameter = 12 ft
Circumference = 37.7 ft
Step-by-step explanation:
The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.
Radius = 6 ft
The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.
6*2=12
Diameter = 12 ft
The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:
[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter
Plug the diameter (12) into the equation
[tex]C=\pi (12)\\C=37.7[/tex]
(This answer is approximate)
Circumference = 37.7 ft
I hope this helps!
A circle has a radius of 14 feet. What is the exact area of the circle and what is the approximate area of the circle and What is the appropriate circumference of the circle.
Answer:
Step-by-step explanation:
Exact area of circle = πr² = 196π sq ft
Approximate area of circle = 615 sq ft
Approximate circumference = 2πr = 88 ft
Answer:
615.75ft²
Step-by-step explanation:
A=πr²=π·14²≈615.75ft²
Could someone help me with this problem?
2) A-5=62 PLSSSS HELLPPP
Answer:
Step-by-step explanation:
a-5=62 add 5 to both sides
a=67
the sides od a triangle are in the ratio3:4:5 &uts perimeter 144 cm .find tye area
find the equation of the line of best fit in slope intercept form . please help
Answer:
y = (2/5)x + 3
Step-by-step explanation:
Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5). First we find the slope of this line: m = rise/run.
As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise). Thus, the slope of this line is m = 2/5.
Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3. Then our equation is y = mx + b, or y = (2/5)x + 3
Answer:
The equation is [tex]y = \frac{2}{5} x+3[/tex]
Step-by-step explanation:
The line of best fit has an x-intercept of 3, so the constant in the equation would be 3. Since one of the points on the line is (5, 5), the change in y over the change in x (the slope) is going to be [tex]\frac{5-3}{5-0}[/tex] or [tex]\frac{2}{5}[/tex]. So the line's equation is [tex]y = \frac{2}{5} x+3[/tex].
Somebody Help please??????
Step-by-step explanation:
Please refer to the attachment
Find the missing number.
330 =
22
Submit
Answer:
15
Step-by-step explanation:
h(x)=-7x-11 when x=7
Answer:
-60
Step-by-step explanation:
h(x)=-7x-11
h(7)=-7(7)-11
h(7)=-49-11
h(7)=-60
Answer:
-60
Step-by-step explanation:
-7x7= -49
-49-11= -60
1. In school lottery to win a price for "Free Domino's Pizza" it is required to select 5 numbers (in any order) out of 40 numbers.
What is the probability of winning?
2. Your sock drawer has 18 folded pairs of socks, with 8 pairs of white, 6 pairs of black, and 4 pairs of blue.
What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
Answer:
1/8 ;
12 / 51
Step-by-step explanation:
To select any 5 numbers out of 40
Number of selection required / total numbers
Probability of winning = 5 /40 = 1/8
Total number of socks = 18
White, W = 8
Black, B = 6
Blue, C = 4
probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
P(B) * [(P(C) + P(W)]
Probability = required outcome / Total possible outcomes
P(B) = 6 / 18 = 1/3
Without replacement :
P(W or C) = 8/17 + 4/17 = 12/17
Hence,
1/3 * 12/17
= 12 / 51
Given that
R=6x+9y
Find y when x=1 and R=39
Give your answer as an improper fraction in its simplest form.
Answer:
11/3
Step-by-step explanation:
39=6+9y
39-6=9y
33=9y
33/9=y
33/9=11/3
write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)
9514 1404 393
Answer:
2x +y = -2
Step-by-step explanation:
The bisector must have a slope that is the negative reciprocal of the slope of the line between these points. It must pass through the midpoint of the segment.
The slope of the line through the given points is ...
m = (y2 -y1)/(x2 -x1)
= (5 -(-1))/(4 -(-8)) = 6/12 = 1/2
The slope of the required bisector is then ...
m = -1/(1/2) = -2
__
The midpoint of the given segment is ...
((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)
__
Then the point-slope form of the equation of the bisector is ...
y -y1 = m(x -x1)
y -2 = -2(x -(-2))
y = -2x -4 +2
y = -2x -2 . . . . . . . slope-intercept form equation
2x +y = -2 . . . . . . . standard form equation
What is the length of line segment HJ?
Answer:
b = 5√3 (units)
Step-by-step explanation:
To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.
In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.
a^2+b^2 = c^2 (pythagorean therorm)
5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)
25+b^2 = 100 (square the numbers)
b^2 = 75 (subtract 25 from both sides)
b = √75
b = √25 * √3 (factor out√75)
b = 5 * √3 (find square root of√25)
b = 5√3
Hope I was able to help! Good Luck!
