Answer:
k = 4
Step-by-step explanation:
The formula for binomial probability distribution is;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
Where C(n, k) is the number of possible ways that n number of people choose k.
While p is probability of success
In this question, 20 children want to choose from 4 toys namely tricycle, blocks, a train set, and puzzles.
This means that from binomial probability distribution formula, n = 20 and k = 4.
PLz help I need help
Answer:
Missing statements:
R2. Definition of corresponding anglesR3. Corresponding angles postulateR5. Supplement PostulateS7. m∠2 + m∠3 = m∠1 + m∠3S8. m∠1 + m∠3 = 180°10 2/3 - 8 5/8
I DONT NEED AN EXPLANATION
Answer:
2 1/24=49/24
Step-by-step explanation:
Which quadrilaterals always have congruent diagonals? Select all that apply.
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RectanglesSquares[tex]\huge\sf\underline{\underline{\red{❥︎ Thanks}}}[/tex]
Which quadrilaterals always have congruent diagonals?
[tex]\hookrightarrow[/tex] [tex]\bold{rectangle }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ square }[/tex]
A store is offering a 20% discount. The original price of a t-shirt is $18. What is the sale price of the t-shirt?
(no tax included)
Answer:
$3.6
Step-by-step explanation:
I looked it up, I don't know how to do that on my own
Roger spent 22 minutes on his math homework and 25.08 minutes on his spelling
homework. He spent percent more time on his spelling homework.
Answer:
114%
Step-by-step explanation:
okay, so we know he spent 22 minutes on math and 25.08 on spelling.
m=22
s=25.08
so to find a percent, you have to divide s/m
s/m= 25.08/22
s/m= 1.14
because this is a decimal, we have to convert it to a percent
114%
to check the answer, multiply 22 times 114%
the answer is 25.08, so we know we got the right answer.
NEED ANSWERS ASAP!!( no need for explanation just final answers)
Answer
x, y
0, -4
1, -1
2, 2
3, 5
please click heart to give thanks :)
Answer:
Answer
x, y
0, -4
1, -1
2, 2
3, 5
Step-by-step explanation:
there's the math
Jiangsu divided 751.6 by 10 to the second power and obtained a quotient of 0.7516. Yessenia thinks the quotient. Who has the reason? Explain your answer.
Answer:
Yessenia is correct.
Step-by-step explanation:
Supose Yessenia thinks the quotient is 7.516, then Yessenia is correct.
The reason why Yessenia is correct is that, if we interpret the question mathematically, we have:
[tex]= \dfrac{751.6}{10^2}[/tex]
[tex]= \dfrac{751.6}{100}[/tex]
From above the decimal point will shift to the left twice since we are dividing 751.6 by 100, which is:
= 7.516 and not 0.7516
Tessa bought stock in a restaurant for $297.00. Her stock is now worth $356.40. What is the percentage increase of the value of Tessa's stock?
Answer:
20% increase
Step-by-step explanation:
We want to compute the percentage increase
Percent increase in price is expressed as
=(Change in price)/old price *100
=356.4-297/297*100
=59.4/297*100
=0.2*100
=20%
mark got 14 problems wrong on the test. his score was 72% correct.how many problems were on the test
9514 1404 393
Answer:
50 problems
Step-by-step explanation:
The percentage wrong was 100% -72% = 28%. Then the number n of problems on the test was ...
14 = 0.28·n
n = 14/0.28 = 50
There were 50 problems on the test.
If the domain of the function f(x)=2x^2-8 is {-2, 3, 5}, then the range is
Answer:
{0, 10, 42}
Step-by-step explanation:
The Domain acts like x and the Range acts like y and f(x) = y
f(x) = 2x^2 - 8
f(-2) = 2(-2)^2 - 8
f(-2) = 2(4) - 8
f(-2) = 8 - 8
f(-2) = 0
f(3) = 2(3)^2 - 8
f(3) = 2(9) - 8
f(3) = 18 - 8
f(3) = 10
f(x) = 2x^2 - 8
f(5) = 2(5)^2 - 8
f(5) = 2(25) - 8
f(5) = 50 - 8
f(5) = 42
To check, look at the graph below ---
|
V
Work out the equation of the line which has a gradient of 3 and
passes through the point (-2, 4).
Answer:
y=3x+10
Step-by-step explanation:
We can use standard form to write the equation of this line.
y=mx+b
where m=the slope (or gradient) of the line
and where b= the y-intercept
now to solve...
we know the slope (gradient) or m=3
so we can put this in the equation.
y=3x+b
now we must solve for b.
in order to this we can subsitute the coordinate (-2,4) into x and y since
a coordinates values/variable representation is (x,y) -> (-2,4)
So subsituting the coordinate in...
y=3x+b
4=3(-2)+b
simplify.
4=-6+b
b=10
This means the y-intercept=10
so...
y=3x+10
is the equation of the line.
HELP ASAPP PLEASE OR ELSE I WILL FAIL CLASS
Colton is about to ride a straight water slide. The launching platform is at the top of a tower that is 8 meters tall. The splash pool at the end of the slide is 15 meters from the base of the tower. How long is the water slide itself? Show your work.
Answer:
The length of the water slide itself is 17 meters
Step-by-step explanation:
Here, we want to calculate the length of the water slide
from the description given in the question;
we have a right angled triangle where the height of the tower, the distance from the base of the tower and the length of the slide itself represents the sides of the triangle
From the description given in the question, the water slide length represents the slope of the right triangle formed
thus, mathematically by using Pythagoras’ theorem;
The square of the hypotenuse equals the sum of the squares of the two other sides
Let us call the length of the water slide y
y^2 = 8^2 + 15^2
y^2 = 64 + 225
y^2 = 289
y = √289
y = 17 meters
The relationship between the number of
$4 lunches you buy with a $100 school
lunch card and the money remaining on
the card
Which number is divisible by both 5 and 6?
A. 132,359
B. 142,645
C. 164,780
D. 193,560
Answer:
D
Step-by-step explanation:
can i get some help please?
Answer:
∠ L = 109°
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent.
Thus ∠ J = ∠ G , substitute values
3x + 12 = 2x + 19 ( subtract 2x from both sides )
x + 12 = 19 ( subtract 12 from both sides )
x = 7
Then
∠ G = 2x + 19 = 2(7) + 19 = 14 + 19 = 33°
∠ H = 4x + 10 = 4(7) + 10 = 28 + 10 = 38°
By the sum of angles in a triangle = 180°, then
∠ F = 180° - (33 + 38)° = 180° - 71° = 109°
∠ F and ∠ L correspond , thus
∠ L = ∠ F = 109°
Tell whether the relation is a function. {(-5, -3), (-1, 3), (4, 3), (8, 8)}
Given:
The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.
To find:
Whether the given relation is a function or not.
Solution:
A relation is called a function, if there exist a unique output for each input.
We have, a relation given as
{(-5, -3), (-1, 3), (4,3), (8, 8)}
Here, all x-values are different. So, each x-value has a unique y-value.
Thus, there exist a unique output for each input.
Therefore, the given relation is a function.
find The equation pleaseeeeee
Answer:
y=2x+4
Step-by-step explanation:
the slop is 2 hense 2x, and the y intercept is 4
Create a sample division problem with a 2-digit divisor and give an incorrect answer, showing the steps taken to get the incorrect answer.
Answer:
Incorrect Answer Below
Step-by-step explanation:
Problem: We have a total of 28 candies that need to be divided evenly between 4 students.
(Incorrect) Solution: In order to solve this problem we can seperate the total number of candies into single digits and then divide each digit by 4 like so...
2 / 4 = 0.5
8 / 4 = 2
Now that we have the answer of both of these divisions we can simply add these values together to get the number of candies each student will get
0.5 + 2 = 2.5 candies
Question 8 (4 points) Find the values of x and y if NO = x + 2y, MO = 3x, PQ = 6x + 4, and OQ = 2y + 4.
Answer:
x = 12 and y = 16
Step-by-step explanation:
Given the following lengths;
NO = x + 2y,
MO = 3x,
PQ = 6x + 4, and
OQ = 2y + 4.
The following postulates are true;
MN = PQ
Since MO + ON = MN
MN = 3x + x+2y
MN = 4x + 2y
Recall that PQ = 6x+4
Equating both expressions;
4x + 2y= 6x+4
Collect like terms;
4x-6x + 2y = 4
-2x + 2y = 4
x - y = -4 ...... 1
Also MO = OQ
3x = 2y + 4
3x-2y= 4 ....2
from 1; x = -4 + y
Substitute into 2:
3x-2y= 4
3(-4+y)-2y = 4
-12+3y-2y = 4
-12+y = 4
y = 4 + 12
y = 16
Since x = -4+y
x = -4 + 16
x = 12
Hence x = 12 and y = 16
Is a function or not a function?
Answer:
yes this is
Step-by-step explanation:
35 = 2b + 5b pls help
Step-by-step explanation:
2b+5b=7b
35=7b
35/7=5
b=5
Answer:
b=5
Step-by-step explanation:
2b+5b=35
7b=35
b=35/7
b=5
find the slope PLEASE HELP
Answer:
-1/4
1
-1/4
1
Step-by-step explanation:
Slope is obtained thus :
(y2 - y1) / (x2 - x1)
Slope ST :
S(1, 4) ; T(5, 3) ;
x1 = 1, y1 = 4 ; x2 = 5 ; y2 = 3
Slope ST = (3 - 4) / (5 - 1) = - 1 / 4
Slope TU :
T(5, 3) ; U(3, 1)
x1 = 5, y1 = 3 ; x2 = 3 ; y2 = 1
Slope TU = (1 - 3) / (3 - 5) = - 2/ - 2 = 1
Slope UV :
U(3, 1) ; V(-1, 2)
x1 = 3, y1 = 1 ; x2 = - 1 ; y2 = 2
Slope UV = (2 - 1) / (-1 - 3) = 1 /-4 = - 1/4
Slope SV:
S(1, 4) ; V(-1, 2)
x1 = 1, y1 = 4 ; x2 = - 1, y2 = 2
Slope SV = (2 - 4) / (-1 - 1) = - 2 / - 2 = 1
Solve the following systems of equations for x:
2x + 3y = 5
4x – 3y = 1
Answer:
b
Step-by-step explanation:
2x+3y=5 rearrange 2x=5-3y times all by 2 4x=10-6y
4x-3y=1 4x=1+3y
1+3y=10-6y 6y+3y=10-1 9y=9 y=1
4x-3(1)=1 4x=1+3 4x=4 x=1
Answer:
B
Step-by-step explanation:
2x+3y=5
(2×1)+(3×1)==5
2+3=5
(4×1)-(3×1)=1
4-3=1
plss..I need help...
Complete the table and then graph the function.y= -4x + 34
Answer:
Step-by-step explanation:
The distance a spring stretches varies directly
with the force applied to it. If a 7-pound weight
stretches a spring a distance of 24.5 inches, how
far will the spring stretch if a 12-pound weight is
applied?
A. 3.4 inches B. 19.5 inches
C. 42 inches D. 294 inches
33-(2c + 4) = 2(c + 7) +C
Answer:
c=3
Step-by-step explanation:
At a local fitness center, members pay $6 membership fee and $2 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same? first person gets brainly
Answer:
for members: 1, 2,3,4,5
for non-members : 2,4,6,8,10
will cost same.
Step-by-step explanation:
6 + 2 = 8
members total $8 for 1 class
non-members total $4 for 1 class
8×2=16
8×3=24
8×4=32
8×5=40
4 × 2 = 8
4×3=12
4×4=16
4×5=20
4×6=24
4×7=28
4×8=32
4×9=36
4×10=40
Solve for r. This is for combinations and permutations.
Answer:
○ D) A and C
Step-by-step explanation:
[tex]\displaystyle \frac{n!}{r![-r + n]!} = {}_nC_r[/tex]
All you need to do is plug each choice into the formula:
[tex]\displaystyle \frac{10!}{2![-2 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[-2 + 10]!} \longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{2[(2)(3)(4)(5)(6)(7)(8)]} \\ \\ \boxed{45} = \frac{90}{2}[/tex]
OR
[tex]\displaystyle \frac{10!}{8![-8 + 10]!} \Longrightarrow \frac{[2][3][4][5][6][7][8][9][10]}{[(2)(3)(4)(5)(6)(7)(8)][-8 + 10]!} \\ \\ \boxed{45} = \frac{90}{2}[/tex]
So, from what you see, both values of [tex]\displaystyle r[/tex] work. In fact, when using the formula pertaining to combinations, you will see that each result has a “repetitive pattern”. This is something you must look out for when using this formula.
I am joyous to assist you at any time.