Answer:
Given:
Total balls = 10Black balls = 3White balls = 7⇒ P(black ball) = 3/10 = 0.3
⇒ P(white ball) = 7/10 = 0.7
If one ball is chosen at random and replaced, the probabilities do not change between the first and second ball.
Let event D = first ball is black
Let event S = second ball is black
P(D) = 0.3
P(S) = 0.3 (since the first ball is replaced)
⇒ P(D ∩ S) = P(D) × P(S)
= 0.3 × 0.3
= 0.09
For Independent Events we know that: P(A ∩ B) = P(A) × P(B)
Therefore, as P(D ∩ S) = P(D) × P(S) the events are independent.
These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)
Answer:
x=4, perimeter is 30.
Step-by-step explanation:
Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.
[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]
At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.
What is the radius of a circle given by the equation x2 y2 – 2x 8y – 47= 0?
Answer:
the answer is 8 units
Step-by-step explanation:
The radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units.
It is given that the circle equation is given by [tex]\rm x^2+y^2-2x+8y-47=0[/tex]
It is required to find the radius of the circle.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We circle the equation:
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
Converting this equation into the standard form of the circle:
[tex]\rm (x-a)^2+(y-b)^2=r^2[/tex]
[tex]\rm x^2+y^2-2x+8y-47=0[/tex]
[tex]\rm x^2+y^2-2x+8y-47+1-1+16-16=0[/tex] (by adding and subtracting by
1 and 16)
[tex]\rm x^2-2x+1+y^2+8y+16-1-16-47=0\\\\\rm (x-1)^2+(y-(-4))^2-64=0\\\\\rm (x-1)^2+(y-(-4))^2=64\\\\\rm (x-2)^2+(y-(-4))^2=8^2 \\\\[/tex]
By comparing with the standard circle equation, we get:
r = 8
Thus, the radius of a circle given by the equation [tex]\rm x^2+y^2-2x+8y-47=0[/tex] is 8 units
Learn more about circle here:
brainly.com/question/11833983
Vertical Angles always have equal measures.
True
False
Answer:
the answer is .....true
PLEASE PLEASEEEE help me out with this!!! I’d appreciate it so so much.
Answer: (-√(3) /2, 1/2)
Step-by-step explanation:
The triangle created is a 30 60 90 triangle, and thus the opposite side of the angle equals the y-coordinate which equals 1/2, and the adjacent side of the angle equals the x-coordinate which equals -√(3) /2
Can someone please help
Answer:
B
Step-by-step explanation:
-4+4=0
If the temperature starts at -4 four and increases by 4, the temperature will be 0.
Please help! will give brainlest!
Answer:
[tex]\frac{ \sqrt{3} }{2} [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
Write the equation of a line that is parallel to 2x -5y = 15 and goes through the point (1,4).
Answer:
(y-4) = 2(X+1)
Step-by-step explanation:
The given eqaution is; y = 2x-5.......(i)
Now; the equation is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the equation of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write up here. But if you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
X/6 + 5 = 25
Solve the variable in the equation
Answer: 120
Step-by-step explanation:
x/6 + 5 =25, subtract 5 on both sides
-5 -5
x/6 = 20, multiply both sides by 6
6(x/6) = 20(6)
x = 120
can you help me with this
Answer:
The answer is b. 979,000
Step-by-step explanation:
If you move the decimal right five time from 9.79 you would get 979,000
Please help me with complement or supplement of an angles.
Answer:
60
Step-by-step explanation:
If we look at the picture, we can see that its a right angle having a 90 degree.
We can make a equation with this as we know that m1 and m2 has to equal 90
x + y = 90
Since we know that m2 = 30 we can plug 30 for x
(30) + y = 90
Now we simply moving the 30 to the 90
y = 90 - 30
y = 60
the quotient of m and 7
the quotient of m and 7 = m/7
Craig won first prize in Mrs. Short's class
so he gets to pick a prize from the treasure
box. He doesn't know what he wants, so
he is going to chose randomly. There are
different gift card prizes: fast food, ice cream,
CD's, DVD's, movies, the mall and Carowinds.
If there is an equal number of each card in
the box, what is the probability he will pull out
the gift card for Carowinds?
Answer: 14%
Step-by-step explanation:
i dont know how to do this question please help!
Answer: 1/6
Step-by-step explanation: I think you multiply 3 times 3 because the other circle circle has an option the first doesn't have have.
The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measure of each angle will be 10° and 170°.
Step-by-step explanation:
A supplementary angle refers to an angle that has the sum to be equal to 180°.
Let the small angle be represented by x
Therefore, the big angle will be: = 17 × x = 17x
Therefore, the value of both angles will be:
x + 17x = 180
18x = 180
Divide both side by 18
18x/18 = 180/18
x = 10
Therefore, the bigger angle will be:
17x = 17 × 10 = 170
Therefore, the angles are 10° and 170°
Answer:
10 and 170 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplementary angle = 180-x degrees.
So x + 17x = 180
18x = 180
x = 10 degrees.
Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :)
39°
Try harder to achieve success
Please Help I'm Confused.
A rectangle’s length is 8 feet shorter than four times its width. The rectangle’s perimeter is 134 feet. Find the rectangle’s length and width.
The rectangle’s length is ____ feet, and its width is _____ feet.
Answer:
length= 52 feet,
width= 15 feet
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the length and the width of the rectangle bs L and W feet respectively.
L= 4W -8 -----(1)
Perimeter of rectangle= 2(length +width)
2(L +W)= 134
Divide both sides by 2:
L +W= 67 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]
Substitute (1) into (2):
4W -8 +W= 67
5W -8= 66
5W= 67 +8
5W= 75
W= 75 ÷5
W= 15
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]
Substitute W= 15 into (1):
L= 4(15) -8
L= 60 -8
L= 52
[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]
Thus, the rectangle's length is 52 feet, and its width is 15 feet.
What is the area of the smaller square? *
16
32
36
81
The area of smaller square is 81
There is a population of 56,950 bacteria in a colony. If the number of bacteria doubles every 370 hours, what will the population be 1,850 hours from now?
Answer:
370×1850= 6,84,500
and then
56,950+6,84,500=7,41,450
the population will be 7,41,450
The population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
What is multiplication?Along with addition, subtraction, and division, multiplication is one of the four basic mathematical operations. In mathematics, multiply refers to the continuous addition of sets of the same size.
Given:
The population of bacteria, P = 56950,
If the number of bacteria doubles every 370 hours then in 1850 hrs = 1850 / 370 = 5,
So, the no doubles 5 times in 1850 hrs,
Now if it doubles 1 time it will be 56950 × 2, and
for 5 times double population will be = 56950 × 2 × 2 × 2 ×2 × 2
P = 1822400
Therefore, the population of bacteria after 1850 hrs in a colony, if the number of bacteria doubles every 370 hours, is 1822400.
To know more about multiplication:
https://brainly.com/question/1135170
#SPJ2
one of the two equal sides of an isosceles triangle is 5.4 CM. if the perimeter of the triangle is 15.4 cm, find the length of the remaining sides of the triangle.
Answer:
4.6cm
Step-by-step explanation:
5.4 is the length of one side and if you have 2 sides that are equal you double that
5.4 x 2 = 10.8
15.4 - 10.8 = 4.6cm
A tank having length, breadth and height 10 m, 9 m and 8 m respectively. How much petrol does it hold? Ans: 720000 liter
720000 liter
Step-by-step explanation:[tex]Known:\ a=10\ m,b=9\ m,h=8\ m.[/tex]
[tex]Because:\ V=abh\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (Volume\ caculation\ formula)[/tex]
[tex]Thus:\ V=10\times9\times8=720\ m^3[/tex]
[tex]Because\ 1\ m^3=1000\ L\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (unit\ conversion)[/tex]
[tex]Thus\ 720\ m^3=720000\ L[/tex]
I hope this helps you
:)
What expression represents the volume of the prism, in cubic units? one-halfx3 x2 one-halfx3 three-halves x2 x3 x2 x3 3x2
The expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
What is of volume of prism?Volume of prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a prism is the product of the area of its base and height.
[tex]V=A_b\times h[/tex]
Here, ([tex]A_b[/tex]) is the area of the base and (h) is the height of the prism.
The side of the base of the triangular prism is x units. Thus the area of the base is,
[tex]A_b=\dfrac{x\times x}{2}\\A_b=\dfrac{x^2}{2}[/tex]
The height of this prism is (x+2) units long. Thus, the volume of the prism is,
[tex]V=\dfrac{x^2}{2}\times (x+2)\\V=\dfrac{1}{2}x^3+x^2[/tex]
Thus, the expression which represents the volume of the prism, in cubic units, is one-half x³+ x².
Learn more about the volume of a prism here;
https://brainly.com/question/4016105
Answer:
1. A- 1/2x^3
2. 168
3. 927
4A. 48
4B. 336
5. A D
6. 1 3 3
7. 12 cm
8. 8 , 4
9. B
10. A C D
Step-by-step explanation:
whole thing right on edge
Two spheres have a scale factor of 3:8. The smaller sphere has a volume of 54pi cubic meters. Find the volume of the larger sphere. Write your answer in terms of pi.
Answer:
i dont know i tried really hard im not really good at math to be honest once again sorry
Step-by-step explanation:
Eva is solving the equation 4(x+3/2)=8 She says, “I can subtract 3/2 from each side to get 4x=13/2 and then divide by 4 to get x=13/8."
Answer:
Wrong
Step-by-step explanation:
Eva must subtract 4*3/2=6 from each side to get 4x=2, the divide by 4 to get x=1/2
Another way:
First, divide both sides with 4 to get x+3/2=2. Then subtract 3/2 from each side and we will have x= 2-3/2= 1/2
solve for x and round if necessary
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(37 \degree) = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{5} = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 5 \times 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1[/tex]
Therefore, the required value of x is 1
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{0,6} = csc\:37 \hookrightarrow 0,6csc\:37 = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
OR
[tex]\displaystyle \frac{0,6}{x} = sin\:37 \hookrightarrow xsin\:37 = 0,6 \hookrightarrow \frac{0,6}{sin\:37} = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Find the side labeled x. State your answer rounded to 5 decimal places.
HELPPPPPP
Need help with this, I’ll give brainliest for an explaining response :)
Answer:
d
Step-by-step explanation:
The answer must be a multiple of 4, because 4q⁵rs⁴ is divisible by 4. Only option d has this condition.
This figure represents a small plastic container.
What is the volume of the container?
3648 mm³
11,520 mm³
14,400 mm³
15,360 mm³
Answer:
11,520
Step-by-step explanation:
this should be the prism you're talking about if not i dont know which one
Answer:
B. 11,520 mm³
What is the solution to the equation below?
Answer:
C
Step-by-step explanation:
sqrt(2 - 3x)/sqrt(4x) = 2
sqrt(2 - 3x) = 2×sqrt(4x)
now let's just square both sides
2 - 3x = 4×4x = 16x
2 = 19x
x = 2/19
please help for 10 points