A bag contains 7 red cubes, 3 yellow cubes, 2 green cubes, and 4 blue cubes. One cube is selected at
random from the bag. What is the probability that the selected cube will NOT be blue?
1/4
5/8
3/4
7/8
Answer:
3/4
Step-by-step explanation:
7 + 3 + 2 + 4 = 16
4 blue cubes = 4/16
16 - 4 = 12
12/16 = 6/8 = 3/4
The probability that the selected cube will not be blue is 3/4.
How to calculate probability?Total number of cubes: 7+3+2+4=16
Number of cubes that are not blue: 12
Probability: Desired outcomes/ Total outcomes
=12/16
=3/4
Therefore, the probability of not selecting blue cube is 75%(or 3/4).
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A company rents water tanks shaped like cylinders. Each tank has a radius of 6 feet and a height of 2 feet. The cost is $30 per cubic foot. How much does it cost to rent one water tank
Step-by-step explanation:
Volume of tank = (pi)×(radius squared)×(height)
= 3.14×(6×6)×2
= 3.14×36×2
= 226.08 cu.ft
Each cu.ft is rented for $30
So, for 226.08 cu.ft is,
=226.08×$30
=$6782.3
Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that will find the
missing 3rd root (r). You do not have to solve the problem. See the example "Find the Missing Root - Interesting Twist" if you need help.
_=_(_-1)(_-2)(_-_)
Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:
[tex]y=a(x-c_1)(x-c_2)...(x-c_n)[/tex]
Where, a is a constant and [tex]c_1,c_2,...,c_n[/tex] are the roots of the polynomial.
Polynomial roots are 1 and 2. So, [tex](x-1)[/tex] and [tex](x-2)[/tex] are the factors of the polynomial.
Let the third root of the polynomial by c, then [tex](x-c)[/tex] is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:
[tex]y=8(x-1)(x-2)(x-c)[/tex]
The graph passes through the point (4,5). Putting [tex]x=4,y=5[/tex], we get
[tex]5=8(4-1)(4-2)(4-c)[/tex]
[tex]5=8(3)(2)(4-c)[/tex]
[tex]5=48(4-c)[/tex]
Divide both sides by 48.
[tex]\dfrac{5}{48}=4-c[/tex]
[tex]c=4-\dfrac{5}{48}[/tex]
[tex]c=\dfrac{192-5}{48}[/tex]
[tex]c=\dfrac{187}{48}[/tex]
Therefore, the 3rd root on the polynomial is [tex]\dfrac{187}{48}[/tex].
Find sin R.
a. sin R= 29/21
b. sin R= 21/20
c. sin R= 20/29
d. sin R= 21/29
Answer:
sin R = 20 / 29
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin R = opp / hyp
sin R = 20 / 29
Find the surface area of this cylinder.
Round to the nearest tenth.
r = 3 cm
3 cm
SA = [ ? ] cm2
PLEASE HELP
Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h
Radius (r) = 3
Height (h) = 3
2 x pi x 3^2 + 2 x pi x 3 x 3
2 x pi x 9 + 2 x pi x 9
18pi + 18pi
36pi = 113.1 cm^2
Hope this helps!
The surface area of the cylinder is 113.0973 square centimeter.
What is surface area of a geometric shape ?The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.
How to find the surface area of the cylinder ?The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r
where r is the radius of the cylinder and h is the height of the cylinder from its base.
In the given problem, r = 3cm and h = 3cm .
⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.
= 36π = 113.0973 square centimeters.
∴ Surface area = 113.0973 square centimeters.
Thus the surface area of the cylinder is 113.0973 square centimeter.
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Given AD || GJ. Refer to the figure and provide an appropriate name for
LHJ
A. complementary angle
0
B. right angle
C
C. acute angle
D. obtuse angle
Answer:
Right angle
Step-by-step explanation:
Since, LH is perpendicular to HJ, ∠LHJ is a right angle.
Can someone help me with this math homework please!
Answer:
f(x)< 0 over the intervals (- ∞, -2.7) and (-1,0.8).Answer: B
-----------------------
Hope it helps...
Have a great day!!
sheela borrowed a sum of ₹10000 from leena at 7% per annum. find the interest and amount to be paid at the end of two years
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:Sheela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.Step-by-step explanation:Sheela borrowed = Rs. 10,000Rate = 7%Interest at the end of = 2 yearsAmount and interest =Using the formula:[tex]\boxed{\pmb{\pink{\sf{SI = \dfrac{Principal \times Rate \times Time}{100}}}}}[/tex]
Principal = Rs. 10,000Rate = 7%Time = 2 years[tex]\begin{gathered}\sf{\longrightarrow \: {S.I = \dfrac{10000\times 7 \times 2}{100}}}\\\\\sf{\longrightarrow \: {S.I = \dfrac{100\times 14}{1}}}\\\\\sf{\longrightarrow \: {S.I =100 \times 14}}\\\\\bold{\longrightarrow \: {S.I =1400}}\end{gathered}[/tex]
Interest=Rs1400_______________[tex]\boxed{\pmb{\red{\sf{Amount = Principal + Simple \: Interest}}}}[/tex]
Principal = Rs. 10,000Simple Interest = Rs. 1,400[tex]\begin{gathered}\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\sf{\longrightarrow \: Amount = 10000 + 1400}\\\\\bold{\longrightarrow \: Amount = 11400}\end{gathered}[/tex]
Therefore,Shela will return Rs. 11,400 including the interest of Rs. 1400 at the end of 2 years.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Tori examined the pattern of exponents in the table.
Powers of 6
Value
6 cubed
216
6 squared
36
6 Superscript 1
6
6 Superscript 0
1
6 Superscript negative 1
a
6 Superscript negative 2
b
Based on the pattern, which statements are true? Check all that apply.
The value of a is –6.
The value of b is StartFraction 1 Over 36 EndFraction.
As the exponents decrease, each previous value is divided by 6.
As the exponents increase, 6 is added to each previous value.
If the table was extended, the value of 6 Superscript negative 3 would be StartFraction 1 Over 216 EndFraction
Answer:
B,C,E
Step-by-step explantion
plz mark brainliest if correct
Answer:
The person above me is correct the answer is B.C.E Give them brainliest!
Proof
In the diagram, the ratios of two pairs of corresponding sides are equal.
Triangles L M N and X Y Z are shown. Side L M is blank, side M N is 3, and side N L is 2. Side X Y is blank, side Y Z is 9, and side Z X is 6.
To prove that △LMN ~ △XYZ by the SAS similarity theorem, it also needs to be shown that
∠N ≅ ∠Z
∠N ≅ ∠X
∠L ≅ ∠Z
∠L ≅ ∠Y
Answer:
∠N ≅ ∠Z
Step-by-step explanation:
In the Side-Angle-Side (SAS) similarity theorem, the included angle of the two given sides of a triangle is also given. This theorem relates two legs of a triangle with the angle formed by the legs.
Comparing the sides of △LMN and △XYZ, it would be observed that the corresponding sides of △XYZ has a scale of 3. So to prove that △LMN ~ △XYZ by the SAS similarity theorem, it would be required to also show that ∠N ≅ ∠Z.
Answer:
A) ∠N ≅ ∠Z
Step-by-step explanation:
anyone knows the answers ? need help with this.
Answer:
2.
a) X=5.0791
(sorry I only know that one)
Which of the following angles is coterminal with - 2pi/3
Answer:
[tex]\frac{2\pi }{3} +x=2\pi[/tex]
[tex]x=2\pi -\frac{2\pi }{3}[/tex]
[tex]=\frac{4\pi }{3}[/tex]
[tex]OAmalOHopeO[/tex]
Using long division, what is the quotient of this expression?
X^4+4x^3-5x^2+x-3/x^2+x-3
Answer:
Using long division method the answer is B
Step-by-step explanation:
x²+3x-5+(15x-18)/x²+x-3
The degree of the polynomial function f(x) is 3.
The roots of the equation f(x)=0 are −1, 0, and 3.
Which graph could be the graph of f(x)?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The real roots of a polynomial function are the x-intercepts. The graph of f(x) will be the graph that has x-intercepts of -1, 0, and 3.
calculate the value of 120 is increased by 120%
Answer:
144
Step-by-step explanation:
currect answer for simple question
Answer:
264
Step-by-step explanation:
First find the amount of increase
120 * 120%
120 * 1.2
144
Add this to 120
120 +144
264
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!
Answer:
The one at the bottom
Step-by-step explanation:
Plug in the value of x = 3 for every equation
I plugged the value of 3 into this equation:
2(3) +3y = 0
3 + 2y = -1
Let's start with the first line
6 + 3y = 0
-6 -6
3y = -6
3y/3 = -6/3
y = -2
Now let's solve the second line
3 +2y = -1
-3 -3
2y = -4
2y/2 = -4/2
y=-2
Since both equations have the solution y = -2, that means the system of equations is valid when the value of x is 3.
THE SPEED OF A CAR IS 144 KM/HR WHAT US ITS SPEED IN M/S
Answer:
40 m/s
Step-by-step explanation:
144 X (5/18) = 8X5 = 40
The histogram below represents a data distribution with uniform class
widths. Which of the following is the median of the data distribution?
6
5
4
3
2
1
9 10
A. 4
B. 6
C. 5
c
D. 7
Answer:
C. 5
Step-by-step explanation:
The given data can be presented as follows;
[tex]\begin{array}{ccc}x&&y\\2&\leftrightarrow &1\\3&\leftrightarrow &4\\4&\leftrightarrow &6\\5&\leftrightarrow &7\\6&\leftrightarrow &6\\7&\leftrightarrow &3\\8&\leftrightarrow &2\\9&\leftrightarrow &1\\10&\leftrightarrow &1\end{array}[/tex]
We find the sum of the data points as follows;
n = 1 + 4 + 6 + 7 + 6 + 3 + 2 + 1 + 1 = 31
The median will be located in the (n + 1)/2 th data point
Therefore the median is the (31 + 1)/2 = 16th data point
The sum of the first three bars on the histogram = 11
The sum of the first four bars on the histogram = 18
Therefore, the 16th data point is located in the fourth bar which has x value of 5
The median is therefore, C. 5
In △ABC, m∠A=50∘, m∠B=60∘, and m∠C=70∘.
If △ABC is rotated 90∘ counterclockwise to △XYZ, what is the measure of angle Z?
Given:
In [tex]\Delta ABC, m\angle A=50^\circ, m\angle B=60^\circ[/tex] and [tex]m\angle C=70^\circ[/tex].
[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex].
To find:
The measure of angle Z.
Solution:
We know that the rotation is a rigid transformation. It means the image and figure are congruent to each other.
[tex]\Delta ABC[/tex] is rotated [tex]90^\circ[/tex] counterclockwise to [tex]\Delta XYZ[/tex]. So, [tex]\Delta ABC\cong \Delta XYZ[/tex].
[tex]\angle C\cong \angle Z[/tex] (CPCTC)
[tex]m\angle C=m\angle Z[/tex]
[tex]70^\circ=m\angle Z[/tex]
Therefore, the measure of angle Z is 70 degrees.
Answer:70
Step-by-step explanation:
Pls help meeee thank you
Answer:
7/12
Step-by-step explanation:
add up all of the buttons
30+40+50=120
add up all of the blue and red buttons
30+40=70
then divide the added values
70/120
simplify
7/12
Answer:
7/12
Step-by-step explanation:
It will be seven 7 by 12
Instructions: Find the measure of the indicated angle to the nearest degree.
50
?
25
Answer:
theta = 30 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin theta = 25/50
sin theta = 1/2
Taking the inverse sin of each side
sin ^-1 (sin theta) = sin ^-1 (1/2)
theta = sin ^-1 (1/2)
theta = 30 degrees
Can any kind soul help me please
Answer:
[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]
Step-by-step explanation:
we would like to solve the following trigonometric equation:
[tex] \displaystyle 6 { \sin}^{2} ( \theta) + 7 \sin( \theta) + 2 = 0[/tex]
to do so we can let sinθ be u so it'll be easier to solve:
[tex] \displaystyle 6 { u}^{2} + 7 u + 2 = 0[/tex]
to notice is that it's a quadratic equation to solve the equation we can consider factoring method in this method we rewrite the middle term as sum or substraction of two different terms in that case 3u+4u can be mentioned:
[tex] \displaystyle 6 { u}^{2} +3u + 4u + 2 = 0[/tex]
(continuing the method) well we can factor out the common terms and that yields:
[tex] \displaystyle 3u(2 { u}^{} +1) + 2(2u + 1)= 0[/tex]
group:
[tex] \displaystyle (3u+ 2)(2u + 1)= 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\displaystyle 3u+ 2 = 0 \\ 2u + 1= 0 \end{cases}[/tex]
solve the equation for u:
[tex] \begin{cases}\displaystyle u = - \frac{2}{3} \\ \\ u= - \dfrac{1}{2} \end{cases}[/tex]
substitute back:
[tex] \begin{cases}\displaystyle \sin( \theta) = - \frac{2}{3} \\ \\ \sin( \theta) = - \dfrac{1}{2} \end{cases}[/tex]
take inverse trig in both sides and that yields:
[tex] \begin{cases}\displaystyle \theta = - {41.8}^{ \circ}, {221.8}^{ \circ} \\ \\ \theta = {210}^{ \circ} , {330}^{ \circ} \end{cases}[/tex]
add period of 2nπ:
[tex] \displaystyle \theta = - {41.8}^{ \circ} + 2n\pi, {210}^{ \circ} + 2n\pi , {221.8}^{ \circ} +2nπ , {330}^{ \circ} +2nπ [/tex]
and we're done!
A regular six sided die and an eight equal segment spinner, numbered 1 to 8, are rolled/spun simultaneously.
What are the odds in favor of spinning a prime number on the spinner and rolling a number less than or equal to
4 on the die?
Answer:
33.3%
(1/2)(2/3) = 2/6 = 1/3
(4/8)=(1/2)
(4/6) = (2/3)
Step-by-step explanation:
Which statement is true about whether Z and B are independent events?
Z and B are independent events because P(Z∣B) = P(Z).
Z and B are independent events because P(Z∣B) = P(B).
Z and B are not independent events because P(Z∣B) ≠ P(Z).
Z and B are not independent events because P(Z∣B) ≠ P(B).
Answer:
Z and B are independent events because P(Z∣B) = P(Z).
Step-by-step explanation:
After a small online search, I've found a table to complete this problem, that we can see below.
For two events Z and B, we have:
P(Z|B) = probability of Z given that B
such that:
P(Z|B) = P(Z∩B)/P(B)
So, two events are independent if the outcome of one does not affect the outcome of the other.
So, if the probability of Z given B is different than P(Z) (the probability of event Z) means that the events are not independent.
So Z and B are independent if the probability of Z given B is equal to the probability of Z.
P(Z|B) = P(Z)
In the table we can see:
P(Z|B) will be equal to the quotient between all the cases of Z given B (126) and the total cases are given B (280)
P(Z|B) = 126/280 = 0.45
Similarly, we can find P(Z):
And P(Z) = 297/660 = 0.45
So we can see that:
P(Z|B) = P(Z)
Thus, B and Z are independent.
if 3x-4=2(y-2)
find x_y
Answer:
x = 2y/3
y = 3x/2
Answer:
Step-by-step explanation:
What is one way a person can increase the wages he or she expects to earn?
A. By deciding not to get a high level of education
B. By choosing a job with a high market value
C. By reducing overall productivity in a year D. By advocating against minimum wage regulations
The correct way for a person can increase the wages he or she expects to earn is,
⇒ By choosing a job with a high market value.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find one way for a person can increase the wages he or she expects to earn.
Since, We know that;
A job with a high market value give more income than another things.
Thus, The correct way for a person can increase the wages he or she expects to earn is,
⇒ By choosing a job with a high market value.
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To the nearest whole number, what is the surface area of the right triangular prism?
•140 m2
•110 m2
•125 m2
•120 m2
Answer:
125.4
Step-by-step explanation:
2×(3×5/2) + (8×5.8) + (5×8) + (3×8)
= 125.4
math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra
Answer:
[tex]-10a^2+25ab-15ac+12a+12b-2c[/tex]
Step-by-step explanation:
[tex](7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)[/tex]
Distribute:
[tex]=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)[/tex]
[tex]=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac[/tex]
Combine all like terms:
[tex]=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)[/tex]
[tex]=-10a^2+25ab-15ac+12a+12b-2c[/tex]
How many seconds is an hour and 30 minutes
there's 90 seconds in an hour and a half
help please lolz thanks
Answer:
c.7
well i have to put 20 so here
I'm pretty sure that the answer is C
