Answer:
cos 60° = 1/2
Step-by-step explanation:
* Lets explain how to solve the question
- If angle Ф lies in the first quadrant then sin Ф , cos Ф and tan Ф
are positive values
- The equivalent angle of angle Ф in the second quadrant is 180° - Ф
and sin Ф is positive but cos Ф and tan Ф are negative
- The equivalent angle of angle Ф in the third quadrant is 180° + Ф
and tan Ф is positive but cos Ф and sin Ф are negative
- The equivalent angle of angle Ф in the fourth quadrant is 360° - Ф
and cos Ф is positive but sin Ф and tan Ф are negative
* Lets solve the problem
∵ sin x = √3/2
∵ 90° < x < 180°
∴ ∠ x lies in the second quadrant
∴ m∠ x = 180° - Ф
- Let sin Ф = √3/2
∴ Ф = sin^-1 (√3/2)
∴ Ф = 60°
∵ x = 180° - Ф
∴ x = 180° - 60°
∴ x = 120°
- To find cos(x/2) divide 120° by 2
∵ cos (120°/2) = cos (60°)
∴ cos 60° = 1/2
2(5x+3)=4x+18 how would i solve this problem
Answer:
x=2
Step-by-step explanation:
2(5x+3)=4x+18 Remove the brackets
10x + 6 = 4x + 18 Subtract 4x from both sides.
10x - 4x + 6 = 4x-4x + 18 Combine
6x + 6 = 18 Subtract 6 from both sides
6x + 6 - 6 = 18 - 6 Combine
6x = 12 Divide by 6
6x/6 = 12/6 Do the division
x = 2
Find the x-intercept of the line whose equation is 8x+2y=4
Answer:
x = 1/2
Step-by-step explanation:
Plug in 0 for y
8x + 2(0) = 4
Simplify
8x + 0 = 4
8x = 4
Divide both sides
8x/8 = x
4/8 = 1/2
Simplify
x = 1/2
Answer
x = 1/2
Answer:
X=1/2
Step-by-step explanation:
in survey 17/25 of the people surveyed have a cat. what percent of the people surveyed have a cat?
Answer:
The percentage of the people surveyed that have a cat is 68%
Step-by-step explanation:
we know that
To find the percentage of the people surveyed that have a cat, multiply the given fraction by 100
so
[tex]\frac{17}{25}*100=17*4=68\%[/tex]
PLEASE HELP!!!!!!!!!!!!!!!!!!
Give the dimensions of the rectangle with an area of 100 square units and whole
number
side lengths that has:
a. the largest perimeter
b. the smallest perimeter
Answer:
a. 2 and 50
b. 10 and 10
Step-by-step explanation:
Let's denote the side lengths by x and y.
The area is 100 which means that x*y=100.
The only whole numbers which satisfy this are the following:
2,50
4,25
5,20
10,10
Just go through them one by one and find your answer.
The rectangle with an area of 100 square units and whole number side lengths with the largest perimeter is 50 by 2 with a perimeter of 104 units. The smallest perimeter rectangle possible for the same area is a square measuring 10 by 10, which has a perimeter of 40 units.
Explanation:We are tasked with finding the dimensions of a rectangle with an area of 100 square units and whole number side lengths that will result in either the largest perimeter or the smallest perimeter.
Largest Perimeter Rectangle
To find the rectangle with the largest perimeter, we should aim for the rectangle to have the longest possible length and the shortest possible width while still maintaining an area of 100 square units. In the extreme case, this could be a rectangle with a length that approaches infinity and a width that is infinitely small, but we are limited to whole numbers. Therefore, the rectangle with the largest perimeter in this scenario would be 50 by 2, resulting in a perimeter of (50+2)*2 = 104 units.
Smallest Perimeter Rectangle
To find the rectangle with the smallest perimeter, we need to look for the most square-like dimensions, as a square has the smallest possible perimeter for a given area. For an area of 100 square units, the side lengths would be 10 by 10, so the perimeter would be 10*4 = 40 units.
what is the input if the output is 0 ?
In other words, what is y if x is 0.
Look on the graph, a line passes through point, [tex]A(x,y)\longrightarrow A(0,-3)[/tex]
So we can conclude that at that very point the input x was 0 and the output y was -3 therefore,
[tex]\boxed{f(-3)=0}[/tex]
Hope this helps.
r3t40
Which of the following is the simplified fraction that's equivalent to 9.315?
A. 9315⁄999
B. 931⁄99
C. 9105⁄333
D. 935⁄111
For this case we must indicate a fraction equivalent to 9,315.
We evaluate the fractions:
[tex]\frac {9315} {999} = 9.32432432432\\\frac {931} {99} = 9,40404040404\\\frac {9105} {333} = 27,3423423423\\\frac {935} {111} = 8,42342342342[/tex]
It is observed that the fraction closest to 9,315 is[tex]\frac {9315} {999}[/tex]
If we round 9.315 we have 9.32
If we round[tex]\frac {9315} {999}[/tex] we have 9.32
Answer:
Option A
help !! Please I can’t find the answer
Answer:
[tex]\large\boxed{r^2=(x+5)^2+(y-4)^2}[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have diameter endpoints.
Half the length of the diameter is the length of the radius.
The center of the diameter is the center of the circle.
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the coordinates of the given points (-8, 2) and (-2, 6):
[tex]d=\sqrt{(6-2)^2+(-2-(-8))^2}=\sqrt{4^2+6^2}=\sqrt{16+36}=\sqrt{52}[/tex]
The radius:
[tex]r=\dfrac{d}{2}\to r=\dfrac{\sqrt{52}}{2}[/tex]
The formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{-8+(-2)}{2}=\dfrac{-10}{2}=-5\\\\y=\dfrac{2+6}{2}=\dfrac{8}{2}=4[/tex]
[tex](-5,\ 4)\to h=-5,\ k=4[/tex]
Finally:
[tex](x-(-5))^2+(y-4)^2=\left(\dfrac{\sqrt{52}}{2}\right)^2\\\\(x+5)^2+(y-4)^2=\dfrac{52}{4}\\\\(x+5)^2+(y-4)^2=13[/tex]
Multiply or divide as indicated.10x^5/2x^2
Answer:
5x³
Step-by-step explanation:
As discussed in one of my videos, whenever you divide, you subtract the exponents.
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
cos x cos (-x) -sin x sin (-x) = 1. Verify the Identity. Please Show All Steps.
Answer:
cos x cos (-x) -sin x sin (-x) = 1 ⇒ proved down
Step-by-step explanation:
* Lets revise the angles in the four quadrants
- If angle x is in the first quadrant, then the equivalent angles to it are
# 180 - x ⇒ second quadrant (sin (180 - x) = sin x , cos (180 - x) = -cos x
tan (180 - x) = -tan x)
# 180 + x ⇒ third quadrant (sin (180 - x) = -sin x , cos (180 - x) = -cos x
tan (180 - x) = tan x)
# 360 - x ⇒ fourth quadrant (sin (180 - x) = -sin x , cos (180 - x) = cos x
tan (180 - x) = -tan x)
# -x ⇒fourth quadrant (sin (- x) = -sin x , cos (- x) = cos x
tan (- x) = -tan x)
* Lets solve the problem
∵ L. H .S is ⇒ cos x cos (-x) - sin (x) sin (-x)
- From the rules above cos x = cos(-x)
∴ cos x cos (-x) = cos x cos x
∴ cos x cos (-x) = cos² x
- From the rule above sin (-x) = - sin x
∴ sin x sin (-x) = sin x [- sin x]
∴ sin x sin (-x) = - sin² x
∴ cos x cos (-x) - sin (x) sin (-x) = cos² x - (- sin² x)
∴ cos x cos (-x) - sin (x) sin (-x) = cos² x + sin² x
∵ cos² x + sin² x = 1
∴ R.H.S = 1
∴ L.H.S = R.H.S
∴ cos x cos (-x) -sin x sin (-x) = 1
If the total area of a dartboard is 30,000 mm2 and the area of the second ring
is 15,000 mm2, what is the probability of landing in that second ring?
A. 30%
B. 15%
C. 20%
D. 50%
Answer:
probability is 50 percent
Step-by-step explanation:
total area= 30000
area of secknd ring=15000
therefore 15000/30000 times 100
equals 50 percent
Answer:
Option D.
Step-by-step explanation:
From he given information, we get
Total area of a dartboard = 30,000 mm²
The area of the second ring = 15,000 mm²
We need to find the probability of landing in that second ring.
[tex]Probability=\dfrac{\text{The area of the second ring }}{\text{Total area of a dartboard}}[/tex]
[tex]Probability=\dfrac{15000}{30000}[/tex]
[tex]Probability=0.5[/tex]
Multiply the probability by 100 to find the percentage.
[tex]Probability=0.5\times 100[/tex]
[tex]Probability=50[/tex]
Hence the correct option is D.
Find the value of the expression.
h(h + k)
for h = 4 and k = 6
Answer:
40
Step-by-step explanation:
In this question, substitute the values of h and k in the expression
Given h=4 and k=6
The expression will be;
h(h+k)
4(4+6)
solve the brackets first
4+6=10
rewrite the expression as
4(10)
open the brackets by multiplication
4×10=40
Answer:
40
Step-by-step explanation:
We must substitute the values provided to us:
[tex]h=4[/tex] and [tex]k=6[/tex]
in the expression:
[tex]h(h+k)[/tex]
we get the following:
[tex]4(4+6)[/tex]
solving the sum inside the parentheses:
[tex]4(10)[/tex]
and finally solving the multiplication
[tex]4(10)=40[/tex]
the value of the expression is 40.
Madison represented the sentence
"The product of 3 and the difference of -4 and the quotient of a number and -2 is at most 5"
by using the inequality 3 (-4 - n/-2) < 5
What is madison's error?
Answer:
The mistake is that it can be 5. They forget to include the equals in the less than or equals
Step-by-step explanation:
Start at the inside and work out
quotient of a number and -2
n/-2
difference of -4 and the quotient of a number and -2
-4 - n/-2
product of 3 and the difference of -4 and the quotient of a number and -2
3* (-4 - n/-2)
is at most 5
3* (-4 - n/-2)≤5
The mistake is that it can be 5. They forget to include the equals in the less than or equals
Answer: C
Step-by-step explanation:
Solve the exponential equation for x. 625 = 5 (7x-3)
A. x = 1
B. x = -1
C. x = 2
D. x = -2
Answer:
A. x = 1Step-by-step explanation:
[tex]5^{7x-3}=625\\\\5^{7x-3}=5^4\iff7x-3=4\qquad\text{add 3 to both sides}\\\\7x=7\qquad\text{divide both sides by 7}\\\\x=1[/tex]
Answer:
X = 1
Step-by-step explanation:
A local restaurant has 20 tables all together with the most popular tables by the window and the salad bar. 5 of the tables are next to the window and another 5 of the tables are next to the salad bar. All of the customers are allowed to seat themselves. If all of the window tables are open, what is the probability that the next two customers will choose to sit at the window?
A. 50%
B. 5.2%
C. 52%
D. 6.2%
Answer:
B. 5.2%
Step-by-step explanation:
Total number of tables = 20
Number of tables next to window = 5
Number of tables next to salad bar = 5
Probability that the first customer chooses the window table = 5 out of 20 = [tex]\frac{5}{20}[/tex]
When this table is chosen, the total remaining tables are 19 out of which 4 tables are next to windows.
So, now the probability that a customer will choose a window table = 4 out of 19 = [tex]\frac{4}{19}[/tex]
Since the selection of two customers is independent of each other, the probability that two customers will chose the window table will be the product of probabilities of their individual selections.
Therefore, the probability that the next two customers will choose to sit at the window = [tex]\frac{5}{20} \times \frac{4}{19} = 0.052[/tex]
Thus, the probability that the next two customers will choose to sit at the window is 0.052 or 5.2%
A mystery number is greater than 50 and less than 100. You can make exactly five different rectangles with the mystery number of tiles. (Hint: This means the mystery number is a square number). Its prime factorization consists of only one prime number. What is the mystery number?
Answer:
81
Step-by-step explanation:
We know the number is between 50 and 100. The prime factorization consists of only one prime number, so the number must be a perfect square. The possible numbers are 64 and 81.
The rectangles that can be made with 64 tiles are:
1×64, 2×32, 4×16, 8×8, 16×4, 32×2, 64×1
The rectangles that can be made with 81 tiles are:
1×81, 3×27, 9×9, 27×3, 81×1
There are 7 rectangles that can be made with 64 tiles. There are only 5 rectangles that can be made with 81 tiles. Therefore, the mystery number is 81.
Step-by-step explanation:
The mystery number is 64, sqare number of 8 , the only prime number contributing to it being 2
Being x the mystery number
[tex]50 < x < 100[/tex]
The only two sqare numbers that meet this request are 64 and 81.
Not knowing much about the above mentioned rectangles, 81 being the perfect square number of a perfect square number we would consider 64 the only posible answer
The Amboy Kennel Club has held an annual dog show for the last 42 years. During this time he winner of "Best of Show" has been an Alaskan Malamute 21 times, a Great Pyrenees 3 times, and an Siberian Husky 18 times. Determine the empirical probability that the next winner of "Best of Show" will be a Great Pyrenees.
The empirical probability of a Great Pyrenees winning the 'Best of Show' at Amboy Kennel Club based on past performances is about 7.143%
Explanation:The subject at hand is empirical probability, which is calculated by dividing the number of times an event has happened by the total number of outcomes. In this case, the event is a Great Pyrenees winning 'Best of Show' and the total number of outcomes is the total number of dog shows.
According to the data provided, the Great Pyrenees has won 3 times out of a total of 42 dog shows. Therefore, the empirical probability can be calculated as follows:
Number of wins by Great Pyrenees = 3Total number of dog shows = 42
The empirical probability is then calculated by dividing the number of wins by Great Pyrenees by the total number of dog shows.
Therefore, the empirical probability of a Great Pyrenees winning is 3/42 = 0.07143. So, we could say that there is a 7.143% chance of a Great Pyrenees winning the 'Best of Show' in the future, based purely on historical data.
Learn more about Empirical Probability here:https://brainly.com/question/1452877
#SPJ12
The empirical probability that the next "Best of Show" winner will be a Great Pyrenees is calculated to be 0.0714 or 7.14%.
Empirical probability is calculated based on observed data. In this case, we want to determine the probability that the next winner of "Best of Show" at the Amboy Kennel Club will be a Great Pyrenees.
Here's the breakdown:
The total number of dog shows held: 42.The number of times a Great Pyrenees has won: 3.The empirical probability (P) is calculated as:
P(Event) = Number of favorable outcomes / Total number of outcomes.
So, the empirical probability that the next winner will be a Great Pyrenees is:
P(Great Pyrenees) = 3 / 42 = 1 / 14 ≈ 0.0714.
Thus, the empirical probability is approximately 0.0714 or 7.14%.
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and the leading coefficient. If the function is not a polynomial, state why. f(x)=(2x+3)^2(3x+5)^2
This is not a polynomial function because there is no leading coefficient.
This is a polynomial function of degree 4 with a leading coefficient of 36.
This is a polynomial function of degree 4 with a leading coefficient of −36.
This is not a polynomial function as the factors are not all linear.
The given function [tex]f(x)=(2x+3)^2(3x+5)^2[/tex] is a polynomial function of degree 4, with a leading coefficient of 36 determined by multiplying the squares of the leading terms of the binomials.
The function[tex]f(x)=(2x+3)^2(3x+5)^2[/tex] is indeed polynomial. To determine the degree and the leading coefficient of a polynomial, we need to expand the given expression. However, without full expansion, we can deduce the degree by adding the exponents of the individual factors since the bases are polynomials of degree 1 (2x+3 and 3x+5).
Each factor is squared, so [tex](2x+3)^2[/tex] has degree 2 and ([tex]3x+5)^2[/tex]also has degree 2. By adding these, we find that the polynomial's degree is 2+2=4. To find the leading coefficient, we consider the leading terms of each binomial which are 2x and 3x. Squaring these and then multiplying them together [tex](2x)^2 * (3x)^2 = 4x^2 * 9x^2,[/tex]we get 36 as the leading coefficient when x is raised to the 4th power. Therefore, the correct answer is: This is a polynomial function of degree 4 with a leading coefficient of 36.
Which choice shows the coordinates of C’ if the trapezoid is reflected across the y-axis?
A) (-5,3)
B) (3,-5)
C) (5,-3)
D) (-3,5)
Answer:
A
Step-by-step explanation:
C is located at (5,3).
If you want to reflect this over the y-axis, you need to have the same distance that (5,3) is to the y-axis on both sides.
If you look at your graph you should see that (5,3) is 5 units a way from the y-axis so when you put it on the other side it should be 5 units a way also.
So the reflection will give you (-5,3)
Answer:
C) (5,-3)
See attached image for explanation.
What is the product of the expressions? Assume y ≠ 0. (2y-1/y2)(3y2/7)
Answer:
(2y-1/y_2)(3y_2/7)
= 2y*(3y_2/7) - (1/y_2)(3y_2/7)
= 6y*y_2/7 - 3/7 = (6y*y_2 - 3)/7
Note: I'm not sure if the 2y-1 was written correctly. If it were intended as the entire thing being a numerator or as 2y_1, this answer is inaccurate.
Answer:
(6y-3)/7
please give me brainliest
Step-by-step explanation:
(2y-1/y²)(3y²/7) first simplify 3y²/y² =3
(2y-1)(3/7) =
(6y-3)/7
Find the measure of stv in the figure
Answer:
STV = 153 degrees
Step-by-step explanation:
180 - 18 = 162 (angles on a straight line equal 180 degrees)
3q + 15q = 162
18q = 162
q = 162 / 18
q = 9
STV = 15q + 18
= 135 + 18
= 153
Hope this helps!
UTV is a straight line, which equals 180 degrees.
This means both angles UTS and STV when added together must equal 180.
3q + 15q +18 = 180
Simplify:
18q +18 = 180
Subtract 18 from both sides:
18q = 162
Divide both sides by 18:
q = 162 / 18
q = 9
Now you have a value for q to solve the angle.
STV = 15q +18
Replace q with 9:
STV = 15(9) +18
Simplify:
STV = 135 + 18 = 153 degrees.
geometry-
true or false: we can use existing theorems to prove new theorems
Answer:
we can use existing theorems to prove new theorems - true
It is true that we can use existing theorems to prove new theorems.
In geometry, new theorems are sometimes dependent on existing theorems.
This means that some new theorems would not exist, if not for the support and the existence of related existing theorems.
Hence, the statement is true
Read more about geometry at:
https://brainly.com/question/25306774
Please help on this pythagorean question, find x.
Answer:
x = 4
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 3)² + (4(x + 2))² = 25² ← expand parenthesis on left side
x² + 6x + 9 + 16(x+ 2)² = 625
x² + 6x + 9 + 16(x² + 4x + 4) = 625
x² + 6x + 9 + 16x² + 64x + 64 = 625 ← simplify left side
17x² + 70x + 73 = 625 ( subtract 625 from both sides )
17x² + 70x - 552 = 0 ← in standard form
with a = 17, b = 70, c = - 552
Using the quadratic formula to solve for x
x = ( - 70 ± [tex]\sqrt{70^2-(4(17)(-552)}[/tex] ) / 34
= ( - 70 ± [tex]\sqrt{4900+37536}[/tex] ) / 34
= - 70 ± [tex]\sqrt{42436}[/tex] ) / 34
= - 70 ± 206 ) / 34
x = [tex]\frac{-70-206}{34}[/tex] = - 8.1176....
or x = [tex]\frac{-70+206}{34}[/tex] = 4
However, x > 0 ⇒ x = 4
Hence
x + 3 = 4 + 3 = 7 and
4(4 + 2) = 24
The triangle is a 7- 24- 25 right triangle
BRAINLIST ADDED?ANSWER THIS QUESTION I WILL UPVOTE YOUR ANSWER!!✔:)
Answer:
-10 4/64, -.3125, 1/16, 10 51/80, 10 45/48
Step-by-step explanation:
negatives, the larger the number the smaller it is, opposite for positives. 10 45/48 is closer to 11 than 10 51/80
find the coordinates of P so that P partitions the segment AB in the ratio 1:1 is A(-4,15) and B(10,11)
Answer:
The coordinates of point P are (3 , 13)
Step-by-step explanation:
* Lets explain how to solve the problem
- Point P divides the segment AB in the ratio 1 : 1
- The ratio 1 : 1 means divide the segment into two equal parts
- Then P is the mid-point of segment AB
- If (x , y) are the coordinates of the mid-point of a segments whose
endpoints are (x1 , y1) and (x2 , y2) then;
[tex]x=\frac{x_{1}+x_{2}}{2},y=\frac{y_{1}+y_{2}}{2}[/tex]
∵ The coordinates of point A is (-4 , 15)
∵ The coordinates of point B is 10 , 11)
- Let point A is (x1 , y1) , point B is (x2 , y2) and point P is (x , y)
∵ x1 = -4 , x2 = 10 and y1 = 15 , y2 = 11
∴ [tex]x=\frac{-4+10}{2}=\frac{6}{2}=3[/tex]
∴ [tex]y=\frac{15+11}{2}=\frac{26}{2}=13[/tex]
∴ The coordinates of point P are (3 , 13)
Answer:
(3,13)
Step-by-step explanation:
I got it correct on founders edtell
The Discriminant of a quadratic equationis is -6 .What types of solutions does the equation have ?
a.2 irrational solutions
b.1 real solution
c.2 complex conjugate solutions
d.2 rational solutions
Answer:
C
Step-by-step explanation:
The nature of the solutions are determined by the value of the discriminant.
Given a quadratic equation in standard form ax² + bx + c = 0 : a ≠ 0
Then the discriminant is Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct solutions
• If b² - 4ac = 0 then solutions are real and equal
• If b² - 4ac < 0 then solutions are not real, 2 complex conjugate solutions
Here b² - 4ac = - 6 , hence 2 complex conjugate solutions → C
What is the slope of the line shown below?
Answer:
1/6
Step-by-step explanation:
To find slope here, I'm going to use that slope is rise/run.
I'm going to start at the left dot. How much would I need to go to be on same level as the right point? Up 3.
Now that we are on the same level, how many units right would I need to travel to get to the right point? Right 18.
The slope is 3/18.
You can reduce this to 1/6.
Answer:
A. 1/6
The slope is 1/6.
Step-by-step explanation:
The slope formula is [tex]\Rightarrow\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{rise}{run}[/tex].
[tex]y_2=6\\y_1=3\\x_2=12\\x_1=(-6)\\[/tex]
[tex]\displaystyle\frac{6-3}{12-(-6)}=\frac{3}{18}=\frac{3\div3}{18\div3}=\frac{1}{6}[/tex]
[tex]\large\textnormal{Therefore, the slope is 1/6.}[/tex]
How the data set rises and drops can best be summarized by the ___________ of the data set.
A. center
B. values
C. shape
D. spread
Answer:
Option C. Shape
Step-by-step explanation:
How the data set rises and drops can best be summarized by the shape of the data set.
For example look at the graph attached: Just by looking at the graph you know at which points the graph increases or decreases and how fast it does. To know exact values, working with the equation/data set is better.
Answer:
C. Shape
Step-by-step explanation:
the probability of picking rotten apple in a box is 1/100 .if there are 6 boxes containing 1200 apples each how many rotten apple may be picked
[tex]\huge{\boxed{72}}[/tex]
Explanation:First, find the total number of apples. [tex]6*1200=7200[/tex]
Now, multiply this by the probability of picking a rotten apple, which is [tex]\frac{1}{100}[/tex]. This is also the same as dividing by [tex]100[/tex], or moving the decimal point two places to the left. [tex]7200*\frac{1}{100}=72[/tex]
This means that based on the probability given, [tex]72[/tex] rotten apples will be picked.
Number of rotten apple may be picked are 72.
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given
Probability of picking rotten apple in a box is [tex]\frac{1}{100}[/tex].
There are 6 boxes containing 1200 apples each
Number of rotten apple may be picked to be find.
Total number of apples = [tex]6 \times 1200 = 7200[/tex]
Number of rotten apple may be picked = [tex]7200 \times \frac{1}{100}[/tex]
= 72
Number of rotten apple may be picked are 72.
Find out more information about probability here
https://brainly.com/question/12791270
#SPJ2
Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers?
x+x+x=-21
x+2x+3x=-21
x+(x+1)+(x+2)=-21
x+(x+2)+(x+4)=-21
Answer:
The third one, x+(x+1)+(x+2)=-21 because x, x+1 and x+2 are three consecutive numbers.
A line passes through (2,8) and (4,12). Which equation Best represents the line
Answer:
y = 2x + 4
Step-by-step explanation:
First, find the rate of change [slope], m = -y₁ + y₂\-x₁ + x₂. Next, you do either\or:
12 = 2(4) + b; 4 = b
8 = 2(2) + b; 4 = b
No matter which ordered pair you use, you will ALWAYS get the same answer, IF you put them in their correct places.
I am joyous to assist you anytime.