Answer:
4
Step-by-step explanation:
square root of 16 is 4,
4*4 = 16
Answer:
The square root of 16 is 4.
Step-by-step explanation:
A history class is comprised of 10 female and 8 male students. If the instructor of the class randomly chooses 14 students from the class for an oral exam, what is the probability that 8 female students and 6 male students will be selected? Round your answer to 3 decimal places.
Step-by-step explanation:
I assume that one a student is picked for an oral exam, the same student will not be picked again.
the total number of possibilities to pick 14 students out of 18 is C(18, 14) = 18!/(14! × (18-14)!) = 18!/(14! × 4!) =
= 18×17×16×15/(4×3×2) = 18×17×2×5 =
= 3,060
how many of these possibilities contain exactly 8 girls and 6 boys ?
so, we choose 8 out of the 10 girls, and 6 out of the 8 boys.
that means
C(10, 8) × C(8, 6) = 10!/(8! × 2) × 8!/(6! × 2) =
= 10×9/2 × 8×7/2 = 5×9 × 4×7 =
= 45 × 28 = 1,260
so, the probability to have 8 girls and 6 boys in a random selection of 14 students out of 18 is
1260/3060 = 21/51 = 7/17 = 0.411764706... ≈ 0.412
Simplify each algebraic axpression 4y+6y+5x-2y
Answer:
8y+5x
If in the case you need any other help , let me know. [ You need to pay me] :) Thanks!
Answer:
The first step that we need to do is to combine like terms which means to add up all of the terms that have similar variables assigned to them.
[tex]4y + 6y + 5x - 2y[/tex]
[tex](4y + 6y - 2y) + 5x[/tex]
[tex]8y + 5x[/tex]
Therefore, our final answer is [tex]8y + 5x[/tex]
Hope this helps! Let me know if you have any questions
calculate the area of the triangle so yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
A= 99
Step-by-step explanation:
Select all expressions equivalent to
1/9 9 3/2 3/-2. 3/-4 3/-2
Answer:
1. [tex]\frac{1}{9}[/tex]
4. [tex]\frac{3^{-4} }{3^{-2} }[/tex]
Step-by-step explanation:
PLEASE ANSWER NOW
Which statement is false?
League Golf Scores
Question 5 options:
The difference between the highest score and lowest score is 38.
15 scores were less than 90
Someone had a score of 99
Three scores are in the 70's
Answer:
15 scores are less than 90
Step-by-step explanation:
Total 11 scores are less than 90 not 15
3.(-2x3y5) 2.y3
Power of a power
Answer: heyaa!!
-12x^{3}y^{8}
Step-by-step explanation:
Hopefully this helps you :)
- Matthew
1. Juanita sold
of her lemonade before
4
noon and after noon. What fraction
2
of her lemonade did she sell in all?
A.
1
4
B.
3
4
C.
ON
D.
2
4
Answer:
the answer is 3/4
the answer is 3/4
the average of 21, 18, 16 and x is 20. what is the value of x?
Answer: 25
Step-by-step explanation:
21 + 18 +16 + X = 20×4
55 + X = 80
X = 80- 55
Answer:
21.75
Step-by-step explanation:
21- 16 = 5
5/2 2.5
16 + 2.5 or 21 - 2.5
18.5 - 18 = .5
1/2 times 1/2 =
1/4
1/4 = .25
18.5 - .25 or 18 + .25
18.25
20 - 18.25 = 1.75
1.75 + 20
21.75
pls pls pls pls help. im so stressed rn
Answer:
The function role is +2 for x, and -1 for y.
Step-by-step explanation:
The reason for my answer is because as you can see on the table;
For X, it starts at 0 and counts up by 2. For Y, it starts at 2 and counts back by 1.
Grace wants to find the probability of a family of 3 children having 2 boys and 1 girl. Use a tree diagram to list the possibilities and state the probability of 2 boys and 1 girl.
A) 3/8
B) 2/3
C) 5/8
D) 1/2
Answer:
Step-by-step explanation:
My approach was to draw out the probabilities, since we have 3 children, and we are looking for 2 boys and 1 girl, the probabilities can be Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy. So a 2/3 chance if you think about it, your answer 2/3 can't be correct. If we assume that boys and girls are born with equal probability, then the probability to have two girls (and one boy) should be the same as the probability to have two boys and one girl. So you would have two cases with probability 2/3, giving an impossible 4/3 probability for both cases. Also, your list "Boy-Boy-Girl, Boy-Girl-Boy, and Girl-Boy-Boy" seems strange. All of those are 2 boys and 1 girl, so based on that list, you should get a 100 percent chance. But what about Boy-Girl-Girl, or Girl-Girl-Girl? You get 2/3 if you assume that adjacencies in the (ordered) list are important, i.e., "2 boys and a girl" means that the girl was not born between the boys.
The height of a ball kicked into the air from the ground can be approximated by the function
h=-5t^2 + 15t, where h is the
height in meters and t is the time in seconds.
Find the time it takes the ball to hit the ground. Show all work
Check the picture below, so that happens when h = 0.
[tex]\stackrel{h}{0}~~ = ~~-5t^2+15t\implies 0=-5t(t-3)\implies 0=t(t-3)\implies t= \begin{cases} 0\\ 3~\checkmark \end{cases}[/tex]
now, notice, 0 is also a solution, which means at 0 seconds the ball was touching the ground, well, it was kicked "from" the ground, so at 0 seconds it was initially on the ground anyway.
Help me on this math problem!! DUR TONIGHT!!(read all the instructions on the photo so you have all the needed answers)
Answer:
see the attachment!
#CarryOnLearning
Ross purchases an electric guitar. He has $225 to put towards the purchase. He saves $50 each month until he has enough money for the guitar. The equation below shows the relationship between the number of months Ross must save and the cost of the electric guitar. 425 = 225 + 50m Which of the following best represents the number of months Ross needs to save in order to purchase the guitar?
IF YOU GUYS HELP ME I GIVE YOU 1000000 Dollars
Answer:
Atleast 5 months, can you give me a photo so i can make sure my answer is correct?
Step-by-step explanation:
80 PTS
In the triangle below X=[?] cm. Round to the nearest tenth.
Answer:
x = 8.6 cm
Step-by-step explanation:
To find x, we need to take the sin ratio of the 35° angle.
Identity
sin∠x = opposing side length / length of hypotenuseSolving
sin35° = 0.57sin35° = x/15⇒ x/15 = 0.57⇒ x = 15 × 0.57⇒ x = 8.55 cm⇒ x = 8.6 cmHow do I simplify 2234993.75% out of 100%
The computation of 2234993.75% out of 100% will bring about value of - 22348.9375
How to calculate the percentage?From the information given, we are told to simplify 2234993.75% out of 100%. It should be noted that to simplify 2234993.75% will be:
= 2234993.75% / 100
= 22349.9375
On the other hand, 100% simply means 1. Therefore, 2234993.75% out of 100% will be:
= 1 - 22349.9375
= - 22348.9375
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helppppppppp!!!!! its due soon
Step-by-step explanation:
a.b=0.6×0.75
=0.45
a/b= 0.6/0.75
=0.8
Tamiya's flower garden has 15 rows of 32 red rose flowers each
Answer:
She has 480 red roses in total
Step-by-step explanation:
NEED HELP ASAP
what is the y-intercept of the following function? How do you know?
f(x) = x^2 + 4x + 6
Answer:
The y-intercept is 6
Step-by-step explanation:
The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.
For this particular function, when x = 0 ⇒
f(0) = 0^2 + 4(0) + 6
= 0 + 0 + 6
= 6
Therefore, the y-intercept of this function is 6
Answer:
6
Step-by-step explanation:
the y-intercept is the last number of the equation
so because 6 is the last number, the y-intercept is 6
Cool Down: It's a Square
Find the area and side length of square ACEG
Answer:
See below
Step-by-step explanation:
Use pythagorean theorem to find the side of the triangle which is the side of the square
side = sqrt ( 8^2 + 4^2) = sqrt 80 units = 4 sqrt 5 units
area = sqrt 80 * sqrt 80 = 80 units ^2
Identify the coordinates of four points on the line with each given slope and y-intercept. slope = 2/3 and y-intercept = -5.........PLEASE ANSWER ASAP
The linear equation is y = (2/3)*x - 5, and the 4 points in the graph are:
{ (-1, -17/3), (0, -5), (1, -13/3), (2, -11/3)}
How to identify the points on the line?A linear equation written in the slope-intercept form is:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we have:
a = 2/3
b = -5
So our line is:
y = (2/3)*x - 5
To find the points, we need to evaluate the line in 4 different values of x.
We will use: x = -1, 0, 1, 2.
for x = -1 we have:
y = (2/3)*-1 - 5 = -2/3 - 5 = -17/3
So this gives the point (-1, -17/3).
for x = 0 we have:
y = (2/3)*0 - 5 = -5
So this gives the point (0, -5).
for x = 1 we have:
y = (2/3)*1 - 5 = -13/3
So this gives the point (1, -13/3).
for x = 2 we have:
y = (2/3)*2 - 5 = 4/3 - 15/3 = -11/3
So this gives the point (2, -11/3).
Then the 4 points are:
{ (-1, -17/3), (0, -5), (1, -13/3), (2, -11/3)}
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what is the surface area in square feet, or triangular prism?
Answer:
12ft
Step-by-step explanation:
The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.
[tex]v = 905 \: {cm}^{3} [/tex]
to find:the radius of the given ball (sphere).
solution:[tex]r = \sqrt[3]{ \frac{3v}{4\pi} } [/tex]
[tex]r = \sqrt[3]{ \frac{3 \times 905}{4\pi} } [/tex]
[tex]r = 6 \: cm[/tex]
therefore, the radius of the ball is 6 cm.
note: refer to the picture I added on how you can change r as the subject of the formula.
[tex]r = (3 \frac{v}{4\pi} {)}^{ \frac{1}{3} } [/tex]
[tex]r = (3 \times \frac{905}{4 \times \pi} {)}^{ ^{ \frac{1}{3} } } [/tex]
[tex]r = 6.00049 \: cm[/tex]
[tex]r = 6 \: cm[/tex]
Hence, the radius of the beach ball is 6 centimeters.
Note: please refer to the attachment.
Help lol
15. Find all polar coordinates of point P where P = ordered pair 9 comma negative pi divided by 5
If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
The polar coordimnate is given below.
P(9, π/5)
Then the cartesian coordinate will be
We know that the conversion of the polar coordinate to the cartesian coordinate.
(x, y) = (r cos θ, r sin θ)
Then we have
r = 9
θ = π/5
Then we have
x = 9 cos π/5
x = 7.28
y = 9 sin π/5
y = 5.29
Then the coordinate will be (7.28, 5.29).
More about the coordinate geometry link is given below.
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A geometric sequence begins 8,16,32,64.... let x be the 53rd term in this sequence. compute log_2(x)
These are sequence that increases in an exponential manner. The value of the log function is 55
Geometric sequenceThese are sequence that increases in an exponential manner. The nth term of the sequence is expressed as:
Tn = ar^n-1
Given the following
first term a = 8common ratio "r" = 16/8 = 2number of terms n = 53Substitute
Tn = x = 8(2)^52
x = 8(2)^52
Take the log of the result to have:
[tex]log_28(2)^{52} = log_22^{55}\\ log_22^{55} = 55log_22=55[/tex]
Hence the value of the log function is 55
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What is x?
3(2x + 4) - 8x = -2(x + 1) + 3
50 points because I have a lot :/
Answer:
no solution
Step-by-step explanation:
Given equation:
3(2x + 4) - 8x = -2(x + 1) + 3
Expand the brackets:
⇒ 3(2x) + 3(4) - 8x = -2(x) - 2(1) + 3
⇒ 6x + 12 - 8x = -2x - 2 + 3
Collect like terms:
⇒ 6x - 8x + 12 = -2x - 2 + 3
Combine like terms:
⇒ -2x + 12 = -2x + 1
Subtract 12 from both sides:
⇒ -2x + 12 - 12 = -2x + 1 - 12
⇒ -2x = -2x - 11
Add 2x to both sides:
⇒ -2x + 2x = -2x +2x - 11
⇒ 0 = -11
The sides are not equal, therefore there is no solution
Answer:
There are no values of x that make the equation true.
5. a) Among 72 students, 24 are selected to participate in music only, 26 are selected to participate in dance only and none of them participated in both activities. The rest of the students are selected in other activities. (i) How many students are participating in other than music or dance?
Answer
The students participating in other than music or dance = 22
Step by step explanation
Total number of students = 72
No. of students participating in dance = 26 (let them be 'a')
No. of students participating in music = 24 (let them be 'b')
No. of students participating in othe na than dance or music = 'c'
72 = a+b+c
= 26+24+c
= 50 + c
c (no. of students participating in other activities)
= 72 - 50 = 22
Tyrell has a bankruptcy on his credit report and therefore pays higher interest rates on his current loans. he calculates that the extra money he pays in additional interest each year, if invested at the rate of 2.5% for one year, could earn him simple interest totaling $300. how much does tyrell pay in additional interest each month? a. $90 b. $100 c. $1,000 d. $12,000 please select the best answer from the choices provided. a b c d
Based on the simple interest amount he could be making, and the rate of investment, Tyrell's additional interest per month is $1,000.
How much is Tyrell paying in additional interest?Assuming the additional interest that Tyrell is paying is x, the following formula can be used:
300 = (x × 2.5%) x 12 months
Solving gives:
300 = 0.025x × 12
0.025x = 300/12
x = 25 / 0.025
x = $1,000
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Answer:
1,000
Step-by-step explanation; trust me
Find the equation of the line that
is parallel to y = -5x – 9 and
contains the point (-3, -3).
=
-
-
y = [? ]x + [ ]
Pls help I’ll mark brainliest
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[tex]\blue{\textsf{\textbf{Question:-}}}[/tex]
What is the equation of the line parallel to y=-5x-9 and contains the point (-3, -3)?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
First of all, parallel lines have the exact same slope.
So we know the slope of the line:- -5.
(enter -5, It's the number that belongs in the green box)
How about the y-intercept?
Well, since we're given the slope and a point that the line intersects, we can write the line's equation in point-slope form:-
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
Good luck.- - - -- - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - -
The equation of line which is parallel to y= -5x - 9 is y=-5x-18.
What is equation of line?The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.
Given:
y= -5x - 9 passes the point (-3, -3)
As, the slope of parallel lines are
m1 = m2 = -5
Now, if the point (-3, -3) intersects the line then equation in point-slope form is
y-y1=m(x-x1)
y-(-3)=-5(x-(-3)
y+3=-5(x+3)
y+3=-5x-15
y=-5x-18
Hence, the equation of line is y=-5x-18
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Simplify by removing parentheses and then combining like terms:
(5a+2b)+(5a-3a)
(please please please help)
Answer:
7a + 2b
Step-by-step explanation:
Just remove the parentheses:
[tex]5a + 2b + 5a - 3a[/tex]
Combine like terms:
[tex]7a + 2b\\[/tex]
Answer quickly please I really need this answer right now
A bag contains:
• 5 red marbles
• 6 blue marbles
• 3 green marbles
• 2 yellow marbles
• 4 purple marbles
A student draws a random marble from the bag, records its color, and returns
it to the bag. The student makes a total of 60 draws. What is a reasonable
prediction for the number of times a green marble will be drawn?
O A. 18
O B. 10
Ос. 9
O D. 12
Answer:
Answer Choice A (8, eight)
Step-by-step explanation:
To begin, add all of the marbles together. When finished, the answer should be 20. Because the variable 20 equals 100, you divide 4 by 100. You will get 0.04 as a result. This multiplied by 20 equals 8. Finally, the answer is A.