Answer:
[tex]P(B|A)[/tex]
Step-by-step explanation:
Probability notation:
Suppose that we have two events, event A and event B. The probability of event B occuring, considering that event A has occurred, is given by:
[tex]P(B|A)[/tex], which is the answer to this question.
What is the answer to this?
What is the answer to this
Answer:
x = 25
Step-by-step explanation:
3x-15 = 2x+10
x-15 = 10
x = 25
Answer:
x = 25 degree
Step-by-step explanation:
3x - 15 = 2x + 10 (their relation will be alternate interior angles if they [tex]l_{1}[/tex] and [tex]l_{2}[/tex] are parallel)
3x - 2x = 10 + 15
x = 25 degree
The following hypothetical data represent a sample of the annual numbers of home fires started by candles for the past several years.
5640, 5090, 6590, 6380, 7165, 8440, 9980
The population has a standard deviation equal to 1210. Assuming that the data is from a distribution that is approximately normal, construct a 90 % confidence interval for the mean number of home fires started by candles each year
Answer:
(6290.678 ; 7790.742)
Step-by-step explanation:
Given the data :
5640, 5090, 6590, 6380, 7165, 8440, 9980
The sample mean, xbar = Σx / n = 49285 / 7 = 7040.71
The 90% confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Since the σ is known, we use the z- distribution
Zcritical at 90% confidence = 1.64
Hence,
Margin of Error = 1.64 * 1210/√7
Margin of Error = 750.032
90% confidence interval is :
7040.71 ± 750.032
Lower boundary = 7040.71 - 750.032 = 6290.678
Upper boundary = 7040.71 + 750.032 = 7790.742
(6290.678 ; 7790.742)
Find the equation of a sphere if one of its diameters has endpoints: (-14. -3, -6) and (-4, 7, 4) Note that you must move everything to the left hand side of the equation and that we desire the coefficients of the quadratic terms to be 1.
Answer:
[tex]x^2+y^2+z^2-18x-4y+2z-21=0[/tex]
Step-by-step explanation:
From the question we are told that:
Diameters has endpoints: [tex](-14. -3, -6) & (-4, 7, 4)[/tex]
Generally the equation for Center of The sphere is mathematically given by
[tex]C=(\frac{-14+(-4)}{2},\frac{-3+(7)}{2},\frac{-6+(4)}{2})[/tex]
[tex]C=(9,2,-1)[/tex]
Generally the equation for Radius of the sphere is mathematically given by
[tex]R=\sqrt{(9-2)^2+(2-9)^2+(-1-2)^2}[/tex]
[tex]R=\sqrt{107}[/tex]
Therefore the Equation of the Sphere is
[tex](x-9)^2+(y-2)^2+(z+1)^2=107[/tex]
[tex](x^2-18x+81)+(y^2-4y+4+(z^2+2z+1))=107[/tex]
[tex]x^2+y^2+z^2-18x-4y+2z-21=0[/tex]
Help!!!!!!!!!!! Photo attached
Answer:
option A : 25
Step-by-step explanation:
Given :
P = (- 6, 7) , Q = ( 2 , 1 ) , R = ( -1 , -3)
Find the length of PQ ,QR , PR.
Using distance formula to find the lengths.
[tex]distance = \sqrt{(x_2 - x_1 )^2 + (y_ 2- y_1)^2[/tex]
[tex]PQ = \sqrt{(2 -- 6)^2 + (1-7)^2} = \sqrt{8^2 + 6^2 } = \sqrt{64 + 36 } =\sqrt{100} = 10\\\\QR = \sqrt{(2 --1)^2 + (-3-1)^2}= \sqrt{3^2 + 4^2} =\sqrt{9+ 16} =\sqrt{25} = 5\\\\PR = \sqrt{(-1--6)^2 + (-3 -7)^2} = \sqrt{5^2 + 10^2} = \sqrt{25 + 100} = \sqrt{125}[/tex]
Clearly , the triangle satisfies Pythagoras theorem :
Square of larger side = Sum of squares of other sides.
Therefore , PQR is a right triangle,
with base = 5, height 10 and slant height(hypotenuse) = [tex]\sqrt{125}[/tex] .
[tex]Area = \frac{1}{2} \times base \times height[/tex]
[tex]=\frac{1}{2} \times 5\times 10\\\\= 5 \times 5 \\\\= 25 \ square\ units[/tex]
Which number line represents the solution set for the inequality -4(x + 3) S-2 – 2x?
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
4 5 6 7
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
-7 -6 -5 -4 -3 -2:-1 0 1
2.
+
6
+
7
3 4
01
5
02
Answer:
the answer is the alphabet A at the picture
The circle must be on -5 and arrow drawn to the right. Hence the correct answer is number line A
Inequality expressionGiven the inequality expression
-4(x+3) <= -2-2x
Expand the inequality
-4x - 12 <= -2-2x
Collect the like terms
-4x + 2x <= -2+12
-2x <= 10
Divide both sides by -2
-2x/-2 >= 10/-2
x >= -5
For the number line, the circle must be on -5 and arrow drawn to the right. Hence the correct answer is number line A.
Learn more on inequality expression: https://brainly.com/question/24372553
A bag has 2 yellow marbles and 16 red marbles. Half of the red marbles are made of plastic. A marble is selected at random from the ball What is the probability that it is a red, plastic marble? Write your answer as a fraction in simplest form.
Answer:
4/9
Step-by-step explanation:
2+16 = 18 total marbles
16 ÷ 2= 8 plastic marbles
Since there are 18 total marbles and 8 plastic red marbles we can say that there is a probability of 8/18.
8/18 in simplest form is 4/9.
Hope this helps! Brainliest?
If you leave Louisville Ky at 8:15 am and arrive in Chicago at 2:25 pm how long did you travel ?
Answer: 6 hours and 10 minutes
Step-by-step explanation:
4. What is the product of (3x - 1)(x + 4)?
HELP PLEASE RIGHT NOT SHOW YOURE WORK!!!!!
[tex]3 {x}^{2} + 11x - 4[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](3x - 1)(x + 4) \\ \\ = 3x(x + 4) - 1(x + 4) \\ \\ = 3 {x}^{2} + 12x - x - 4 \\ \\ = 3 {x}^{2} + 11x - 4[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Get brainiest if right!!!
10points if right!!
Answer:
the next three terms, 0.075,0.0375,0.01875 (common ratio 0.5)
the formula is 0.3*0.5^n-1
the formula for finding the nth term of a geometric sequence preset would be
a*r^n-1
a is first term
r is common ratio
Step-by-step explanation:
The probability that he or she is a female given that the person is married
Answer:
3 /4
Step-by-step explanation:
The probability that selected person is a female Given she is married :
This is a conditional probability in the form ; A given B
P(A|B) = P(AnB) / P(B)
Let, Female = F ; Married = M
P(F|M) = P(FnM) / P(M) = 150 / 200 = 3 / 4
Evaluate the function.
f(x) = 2x2
Find f(-3)
Can anybody answer this?
Answer:
18
Step-by-step explanation:
f(x) = 2x^2
Let x = -3
f(-3) = 2 * (-3)^2
Exponents first
f(-3)=2 *9
f(3) = 18
Answer:
f ( - 3 ) = 18
Step-by-step explanation:
f ( x ) = 2x²
Find f ( - 3)
let , x = - 3
lf ( - 3 ) = 2 ( -3 )²
f ( - 3 ) = 2 × ( - 3 )²
Evaluate the power
f ( -3) = 2 × 9
multiply the numbers
f ( - 3 ) = 18
The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
The variable x represents the number of
Answer:
Square tables used
Step-by-step explanation:
x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit
Answer:
answer in pictures
Step-by-step explanation:
which statement is true?
Answer:
The y-intercept of Function A is less than the y-intercept of Function B.
Step-by-step explanation:
Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.
In the accompanying diagram, ABC is isosceles, BC is extended to D. AB = AC. and M
Answer:
m∠ACD = 130
Step-by-step explanation:
If ABC is an isosceles, AB = AC and m∠A = 80°, then m∠B and m∠C is equal to 50°.
This is because angles in a triangle adds up to 180°.
180° - 80° = 100°/2 = 50°
∴ m∠ACD = 130°, this is because the interior opposite angles in a triangle is supplementary to the opposite exterior angle:
50° + 80° = 130°
Or
Angles on a straight line adds up to 180°.
180° - 50° = 130°
Find the perimeter of the figure.
Answer:
below
Step-by-step explanation:
p = 2( a + b)
p = 2(24 +16)
p =80 in
p semicircle
=πr
= 3.142 *8
= 25.136
p of figure
p =80 +25.136
p=105.136 in
Find the radius of the sphere with the given volume.
Answer:
see below
Step-by-step explanation: 6 5 17 43
Volume of a sphere = 121.5 π mm³ Find r
Vol Sphere = (4π r³) / 3 solve for r
Vol Sphere × 3 = (4π r³)
(Vol Sphere × 3) / 4π = r³
∛((Vol Sphere × 3) / 4π) = r
∛((121.5 π mm³× 3) / 4π) = r the pi terms cancel
∛((121.5 mm³× 3) / 4) = r
∛((364.5 mm³) / 4) = r
∛((91.125 mm³) ) = r
4.5 = r
Find the complement of the set given that
U = {x | x is in I and −3 ≤ x ≤ 7}.
(Enter your answers as a comma-separated list.)
{−1, 1, 3, 5, 7}
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
Step-by-step explanation:
From Mathematics, we know that absolute values are defined by the following characteristics:
1) For [tex]x \ge 0[/tex], [tex]|x| = x[/tex]
2) For [tex]x < 0[/tex], [tex]|x| = - x[/tex]
Then, if [tex]|x| = x[/tex], then the solution set to the absolute value is:
[tex]S = \{x \in \mathbb{R}| x \ge 0\}[/tex] or [tex]S = [0, +\infty)[/tex]
Negative real numbers are not included in the solution set, as for [tex]x < 0[/tex], [tex]|x| = - x[/tex].
PLEASSSSSSSSSSSEEEEEEEE HELPPP IM BEGGING SOMEONE PLEASEEEEEEEE PLEASEEEEEEEEEEE HELPPPP
Answer:
20 degree
Step-by-step explanation:
x + x + 70 = 110 degree (sum of two opposite interior angle equal to the exterior angle formed)
2x = 110 - 70
x = 40/2
x = 20 degree
What is the production matrix?
Answer:
[tex]\left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]
Step-by-step explanation:
Here we want to compute the product of two matrices, one 2x2, and other 2x1.
[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right][/tex]
Remember that in the product, we multiply the rows of the first one by the columns of the second one, then the product is just:
[tex]\left[\begin{array}{ccc}0.3&0.3\\0.35&0.4\end{array}\right]*\left[\begin{array}{ccc}4\\6\end{array}\right] = \left[\begin{array}{ccc}0.3*4 + 0.3*6\\0.35*4 + 0.4*6\end{array}\right] = \left[\begin{array}{ccc}3\\3.8\end{array}\right][/tex]
a rope of length 18 m is used to form a sector of a circle of radius 3.5 m on a school field. What is the size of the angle of the sector?
Answer:
Perimeter of the sector = 2r + length of arc= 2(3.5)+11= 7+11=18 meters exactly the length of the rope.
Step-by-step explanation:
The perimeter of the sector is equivalent to the length of the rope which is 18 meters
Perimeter of the sector= 2 x radius + length of the arc
But length of arc= radius x central angle in radian
18= 2(3.5)+ 3.5(central angle in radians)
18=7+3.5 (central angle in radians)
18–7=3.5(central angle)
11=3.5(central angle)
central angle =11/3.5=3.14 radians or pi radians
Angle in degrees =pi radians x 360 degrees/2pi radians =pi radians x 180 degrees/pi radians = 180 degrees
Therefore the central angle = 180 degrees because pi radians is half of 2pi radians which is half of 360 degrees
Notes: This sector shape is a semicircle because the central angle is 180 degrees
Check: Length of Arc for semicircle =3.5(pi radians)=11 meters
Perimeter of the sector = 2r + length of arc= 2(3.5)+11= 7+11=18 meters exactly the length of the rope.
Find the area of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HELP ITS URGENT ITS DUE BY 8
Answer:
It is 4
Step-by-step explanation:
1 times 1 for square
3 times 3 then divide by 2 = 3
add together
4
Answer:
a = 5.5 in²
Step-by-step explanation:
square
a = lw
a = 1 * 1
a = 1
Triangle
a = (1/2)bh
a = (1/2) * 3 * 3
a = 4.5
combined figure
a = 1 + 4.5
a = 5.5 in²
How far does a train travel in 12 hours at 115 miles per hour?
1,509 mi
1,265 mi
1,380 mi
Answer:1380
Step-by-step explanation: 12x115
Answer:
1,380
Step-by-step explanation: 12 times 115 gives you the product of 1,380. :)
Hope this is helpful
Please help!
Geometry
10 points!
What is the surface area and volume of the sphere shown below?
Your response should show all necessary calculations and diagrams.
Answer:
ur mom
Step-by-step explanation:
doin doin
Help, please
no links
9514 1404 393
Answer:
4/10 and 10/25
Step-by-step explanation:
If each of the ratios reduces to the same lowest terms, then they are a proportion. All are in lowest terms except the first pair. Reducing those gives ...
4/10 = 10/25 = 2/5
4/10 and 10/25 form a proportion
__
All of the other pairs are pairs of different ratios, so do not form a proportion.
one half plus one third
Answer:
0.83333333333
Step-by-step explanation:
One-half plus one-third equals 5/6 or 0.8333.
Given that:
Expression: 1/2 + 1/3
To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.
The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:
1/2 × 3/3 = 3/6
1/3 × 2/2 = 2/6
Now that the fractions have a common denominator of 6, add them:
3/6 + 2/6 = 5/6
3/6 + 2/6 = 0.8333
Therefore, one-half plus one-third equals 5/6 or 0.8333.
Learn more about Divisor here:
https://brainly.com/question/30925934
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name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
Charlie (c) has 75 more pencils than Kate (k). Together, they have 135 pencils. How many pencils does Kate have? *
Answer:
60
Step-by-step explanation:
135-75 = 60
HOPE IT HELPS