Question 15 of 43
A bag of marbles has 12 red, 7 yellow, 5 blue and 1 white. Find the probability
of selecting 4 marbles from the bag where all 4 are red.
9
A.
o
B.
1
C.
75900
o
D.
Answers
Answer:
Option A
Step-by-step explanation:
[tex] \frac{12}{25} \times \frac{11}{24} \times \frac{10}{23} \times \frac{9}{22} [/tex]
we start with 12 red marbles out of 25 marbles, that's the probability for the first.
in the second step we have one red marble less, wich also means one marble less overall
and so on
[tex] \frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22} [/tex]
[tex] = \frac{11880}{303600} [/tex]
can be reduced by 1320 (step by step) to
[tex] \frac{9}{230} [/tex]
Related Questions
Solve the following quadratic equation by using the Quadratic Formula: X²+ 2x - 3
Answers
What is the slope given the two points?
(-3,12) & (4,5)
Answers
Answer:
-1
Step-by-step explanation:
(-3 , 12) & (4, 5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]
Explanation:
Let, (-3,12) be (x1,y1) and (4,5) be (x2,y2)
We know that slope = (y2 - y1)/(x2 - x1)
So, slope of given two points = (5 - 12)/(4 - (-3))
= -7/(4+3)
= -7/7
= -1
Therefore, slope of given two points = -1
Put these Set of Numbers in ascending order.
3
-1
[tex] \sqrt{5} [/tex]
13
-11
Answers
Step-by-step explanation:
i think may be
3 ,13 ,-1 ,-11 , root under 5
farmer joe used 2/13 bags of seeds on each acre of land. If there are 6 acre of land, how much seed did he use?
Answers
Answer:
12/13 bags
Step-by-step explanation:
2/13 * 6 = 12/13
if someone answers this i won’t drop out
Answers
Answer:
d
Step-by-step explanation:
Introduce the variables and set up the system of equations: Rafael and Lucas go to the mall. The two of them buy a total of 15 t-shirts. Rafael gets 3 less than twice as many t-shirts than Lucas. How many t-shirts did each of them get?
Answers
Answer:
lucas = 9
rafael = 6
Step-by-step explanation:
two equations can be derived from the question
r + l = 15 equation 1
r = l - 3 equation 2
r = rafael
l = lucas
substitute for r in equation 1
l - 3 + l = 15
combine similar terms
l + l = 15 + 3
2l = 18
l = 9
substitute for l in equation 1
r + 9 = 15
r = 15 - 9
r = 6
Will give brainliest!! Pls help
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x^2
4. 36x^2
5. 25x^2
6. 30x^2
7. 5x^3
8. 24y^3
9. 9xy
10. 12x^4
Answers
Factoring means to break and make it shorter.
Answers:
1. [tex]3rs=3*r*s[/tex]
2. [tex]12xy=2*2*3*x*y[/tex]
3. [tex]5x^{2} =5*x*x[/tex]
4. [tex]36x^{2} =2*2*3*3*x*x[/tex]
5. [tex]25x^{2} =5*5*x*x[/tex]
6. [tex]30x^{2} =5*7*x*x[/tex]
7. [tex]5x^{3} =5*x*x*x[/tex]
8. [tex]24y^{3}= 2*2*2*3*y*y*y[/tex]
9. [tex]9xy=3*3*x*y[/tex]
10. [tex]12x^{4} =2*2*3*x*x*x*x[/tex]
hope this helps
A plot of land is shown. Find the measures of
Answers
Answer:
Both angles are 124 degrees.
Step-by-step explanation:
The angles of hexagons add up to 720 degrees, so if you subtract the known angles, (90, 90, 146, 146) you end up with 248. Divide by two and you get 124 degrees for each angle.
16. If f(x) = x2 + 2, which interval describes the range of this function?
(1) (-00,00) (2) [0,00) (3) [2,00) (4) (-00,2]
00 means infinity
Answers
Answer:
Number 4
Step-by-step explanation:
Alice is given pocket money every week. She saves one-half of it, spends one-quarter of it on magazines and one-third of the remainder on sweets. She is left with 80 Gp in her purse.
Answers
Answer: in the beginning she has 1920 Gp.
Step-by-step explanation:
The motion of the ball from the time it was thrown upwards was modeled closely by the function,h(t)=-16t2+128t+144, where h(t) represents the height of the ball in feet after t seconds. After how many seconds did the ball reach the ground?
please I need help
Answers
Answer:
9 seconds
Step-by-step explanation:
When the ball reaches the ground, the height, h(t), is 0. Might as well make the numbers easier to work with - since for the x-intercepts (t-intercepts), h(t) = 0, you can divide the entire equation by the greatest common factor, in this case -16, to make things better:
[tex]0=-16t^2+128t+144\\0=t^2-8t-9[/tex]
Now you can solve this any way you like, such as by using:
[tex]\frac{-b \± \sqrt{b^2-4ac}}{2a}\\[/tex]
This is an easy polynomial though, and you may be able to factor it just by eyeballing it:
[tex]0=t^2-8t-9\\0=(t-9)(t+1)\\t=9,-1[/tex]
You can't have negative time, so we reject -1, leaving only 9 as the answer.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -18
Answers
Answer:
y = -5x-9
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
10x + 2y = -18
Subtract 10x from each side
10x + 2y-10x =-10x -18
2y = -10x-18
Divide each side by 2
2y/2 = -10x/2 -18/2
y = -5x-9
37) The endpoint of the diameter in circle 0 are (-2,5) and (6,5), find the equation of the circle in standard form
Answers
Answer:
(x-2)^2+y^2=16
Step-by-step explanation:
If the center of the circle is (h,k) and the radius is r, then the equation of a circle is (x-h)^2+(y-k)^2=r^2 (with the Pythagorean theorem)
So, the center of this circle 0 is (2,0) and the radius is 4. Thus, the equation is (x-2)^2+y^2=16
Pls help me with this one if: 1 1/2+ 2 3/4+ 3 2/5=6+10/20+15/20+8/20=6 33/20=7 13/20 then what is 2 1/2+1 3/4+3 2/3=?? It's adding and subtracting mixed numbers by the way
Answers
Answer:
7 11/12
Step-by-step Explanation:
2 1/2 = 2 2/4
2 2/4 + 1 3/4 = 3 5/4 = 4 1/4
4 1/4 = 4 3/12
3 2/3 = 3 8/12
4 3/12 + 3 8/12 = 7 11/12
Heeeelp please I'm desperate
Answers
Answer:
A = 108 ft²
Step-by-step explanation:
the length of the smaller rectangle must be 9 (27÷3)
therefore, the ratio of length to width is 3/9 and if the polygons are similar then the length and width of the larger shape would be 6/18
18 x 6 = 108
cuanto es 14° 15´ 12´ ´ X 2 ayuda por favor
Answers
Answer:
28° 30´ 24´ ´
Step-by-step explanation:
14° 15´ 12´ ´ x 2 = 28° 30´ 24´ ´
Answer:
nosee
Step-by-step explanation:
nada
Select the correct graph of the equation.
Answers
Answer:
A
Step-by-step explanation:
The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.
I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!
A school club visits a science museum. Student tickets cost $10 each.
Non-student tickets cost $15 each. The club paid $300 for the tickets.
Which equation below could model this situation? *
A. Y=300(15+10)
B. 300=10x + 15y
C. 25x=300
D. Y=300+10x
Answers
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes Is true?
Answers
Answer:
They are congruent.
Step-by-step explanation:
You can tell because a string of rigid transformations could lay them directly on top of each other without any parts hanging off.
You can reflect shape 2, rotate it, then translate it up to lay them on top of each other.
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.
Answers
Answer:
0.167π
Step-by-step explanation:
r = 0.5
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]
find a unknown length of the sides
Answers
Answer:
[tex]a = 3\sqrt{7}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine (a)
To do this, we make use of Pythagoras theorem.
[tex]12^2 = a^2 + 9^2[/tex]
[tex]144 = a^2 + 81[/tex]
Collect like terms
[tex]a^2 = 144 -81[/tex]
[tex]a^2 = 63[/tex]
Take square roots
[tex]a = \sqrt{63}[/tex]
Expand
[tex]a = \sqrt{9*7}[/tex]
Split
[tex]a = \sqrt{9}*\sqrt{7}[/tex]
[tex]a = 3\sqrt{7}[/tex]
A bag contains red, white and black counters. The pie chart shows information about the counters in the bag. What fraction of the counters are red ? Give your answer in its simplest form.
Answers
Answer:
(120/360) *100% = 33 red counters
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.
Answers
Answer:
The maximum angle is 84.3 degree.
Step-by-step explanation:
Sides of a triangle is
a = 6 , b = 11, c = 12
The maximum angle is opposite to c.
So,
[tex]a =6, b =11, c = 12 \\\\cos C =\frac{a^2+b^2-c^2}{2 ab}\\\\cos C =\frac{36+121-144}{2\times 6\times 11}\\\\cos C = \frac{13}{132}\\\\cos C = 0.0985\\\\C =84.3^o[/tex]
Answer:
The person above got it wrong its 84
Step-by-step explanation:
got it wrong on edge
2 = n/3 what is n? what does n equal
Answers
Answer:
n = 6
Step-by-step explanation:
Given
2 = [tex]\frac{n}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
6 = n
Answer:
n=6
Step-by-step explanation:
If you divided 6 and 3 you would get an answer of 2. So the equation is saying n/3 which is n divided by 3 would give an answer of 2.
Triangle ABC ~ Triangle DEF. Measure of angle A = 20
degrees and measure of angle F = 65 degrees. AB=10, DE = 15, EF= 12.
Find measure of angles B, E, D and C and the length of BC.
Answers
Answer:
B=95°
E=95°
D=20°
C=65°
BC=7cm
Step-by-step explanation:
the triangles look like they are identical, just different in size only. Since DE= 15 and AB=10 that may mean that they have a 5cm difference making side BC= 7cm since EF= 12 minus 5 equals 7cm. Now for the other angles, a triangle no matter what,if we put all their angles together equal 180°. We already know angle A= 20 so the same applies to angle D. We also know that angle F=65 degrees, that makes angle C the same. The only thing that's left are angles B and E that can be found by adding our other angles. So if A+C(20+65)=85 then 180-85=95 degrees is angle B and since the triangles are identical the same goes to E.
please help 20 points
Answers
Answer:
Option C is correct
Step-by-step explanation:
[tex]a. - 3, - 12 \\ = 36[/tex]
[tex]b. - 6, - 6 \\ = 36[/tex]
[tex]c. \: \: 9, - 4 \\ = - 36[/tex]
[tex]d. \: \: 2,18 \\ = 36[/tex]
Hope it is helpful...
Write and equation for a line that is parallel to the line 4y + 3x = 12
Answers
Answer:
y = -3/4 x + B
Step-by-step explanation:
B is the translation of the line across y-axis
easy simple math
39.99 x 7.25
Answers
Answer:
289.92
Step-by-step explanation:
Multiply the numbers together
[tex]\longrightarrow{\green{289.9275}}[/tex] ✅
Step-by-step explanation:
[tex]39.99 \times 7.25 \\ \\ = 289.9275[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
help me with this mathematics
Answers
Answer: B
Step-by-step explanation: 65/100 = 65%
B, 65
Explanation:
65:100 = 0.65
0.65 = 65%
Hope this helped :)
Miguel and Jacqui built towers out of craft sticks.Miguel's tower had a 4-inch base.Jaquis tower had a 6-inch base.Miguels tower had a volume of 128 cubic inches and jaquis had a volume of 288.Who's tower was taller
Answers
Answer:
Height is same for both the towers
Step-by-step explanation:
The computation is as follows;
For 1st tower
The height is
= 128 ÷ 4^2
= 8 inches
And,
For the 2nd tower
The height is
= 288 ÷ 6^2
= 8 inches
So as we can see that the height of the both the tower is same i.e. 8 inches so the same should be considered