Answer:
[tex]P(B|A)=\frac{2}{7}[/tex]
Step-by-step explanation:
The probability of [tex]P(B|A)[/tex] can be read as the probability of event B occurring given event A. In this question, event A occurs when the chosen player is a girl. There are 7 girls on the soccer team. Event B occurs when the chose player plays defense. Since [tex]P(B|A)[/tex] stipulates that event A already occurred, we want the probability of choosing a player who prefers defense from the 7 girls. There are 2 girls who prefer defense, hence [tex]P(B|A)=\boxed{\frac{2}{7}}[/tex].
Alternative:
For dependent events [tex]A[/tex] and [tex]B[/tex], the conditional probability of event B occurring given A is given by:
[tex]P(B|A)=P(B\cap A)\div P(A)[/tex]
[tex]P(B\cap A)[/tex] indicates the intersection of [tex]P(B)[/tex] and [tex]P(A)[/tex]. In this case, it is the probability that both events occur. Since there are 16 kids on the soccer team and only 2 are girls and prefer defense, [tex]P(B\cap A)=\frac{2}{16}=\frac{1}{8}[/tex]. The probability of event A occurring (chosen player is a girl) is equal to the number of girls (7) divided by the number of kids on the team (16), hence [tex]P(A)=\frac{7}{16}[/tex].
Therefore, the probability of event B occurring, given event A occurred, is equal to:
[tex]P(B|A)=\frac{1}{8}\div \frac{7}{16},\\\\P(B|A)=\frac{1}{8}\cdot \frac{16}{7}=\boxed{\frac{2}{7}}[/tex]
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
(–∞, –7)
(–∞, –1)
(–∞, 1)
(–∞, 7)
Answer:
(−∞,−1) interval is is the function decreasing..Step-by-step explanation:
Given : The graph of f(x) = |x|f(x)=∣x∣ is transformed to g(x) = |x+1|-7g(x)=∣x+1∣−7To find : On which interval is the function decreasing?Solution :First we plot the graph of both the functions, The graph of f(x) = |x|f(x)=∣x∣ is shown with black line.The graph of g(x) = |x+1|-7g(x)=∣x+1∣−7 is shown with violet line. The graph shows the interval over which it is increasing or decreasing.As we notice it is increasing on the interval (-1,\infty)(−1,∞)Decreasing on (-\infty,-1)(−∞,−1)Therefore, (-\infty,-1)(−∞,−1) interval is the function decreasing. please markse as brainliests please for my effort...The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
The parent function is given as:
[tex]f(x) =|x|[/tex]
The transformed function is given as:
[tex]g(x) =|x + 1| - 7[/tex]
Both functions are absolute value functions, and an absolute value function is represented as:
[tex]y=a| x-h |+k[/tex]
Where, the vertex of the function is:
[tex]Vertex = (h,k)[/tex]
By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:
[tex](h,k) = (-1,-7)[/tex]
[tex]a= 1[/tex]
Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.
This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.
Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
Read more about transformation at:
https://brainly.com/question/5757291
Use the function below to find F(-4).
F(x) = 2^x
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
All of the following statements are true, except for which?
A. LIZM
B. FG = JK
C. ZJE ZF
D. LMHG
except for letter a. LIZM
(a) Write
[tex] {2}^{5} \div {2}^{5} [/tex]
as a single power if 2.
Answer:
2^0
Step-by-step explanation:
When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.
There are two ways to go about this problem.
The first way, the generic way, is to know that,
[tex]\frac{a^n}{a^m}=a^{n-m},a\neq0[/tex].
So,
[tex]\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}[/tex].
The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,
[tex]\frac{a}{a}=1, a\neq0[/tex]
And 1 equals to any number raised to the power of zero,
[tex]a^0=1,a\neq0[/tex]
So we just have to say that the 1 we got is rewritten as some base to the power of zero.
Since our base needs to be 2, we just simply say,
[tex]2^0[/tex].
Et Viola.
Hope this helps.
Geometry homework I need help pls pls pls
Answer:
vertex of 4 is 2
Step-by-step explanation:
cuh cuh uchuch uch uch uch
Who can do 20 assignments in math for me rn needs to b finish in 5 hours?
u need to finish 4 assignments in 1 hour
What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT
Answer:
Step-by-step explanation:
The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.
When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.
The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:
y = -0.89x² + 3.24x+11.93
This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.
The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.
Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.
Learn more about equations here:
brainly.com/question/10413253
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Find the lateral surface area of the
following prism:
5 cm
5 cm
-apothem = 3.44 cm
5 cm
5 cm
10 cm
5 cm
Answer:
250 cm²
Step-by-step explanation:
Lateral area of the prism is,
5×10×5
= 250 cm²
Lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].
What is lateral surface area?" Lateral surface area is defined as the sum of area of the all the surfaces except top and bottom of the given geometrical shape."
Formula used
Lateral surface area of pentagonal prism [tex]=5ah[/tex]
[tex]a=[/tex] edge length of the base
[tex]h=[/tex] height of the prism
According to the question,
For the given pentagonal prism,
Edge length of the base [tex]'a' = 5cm[/tex]
Height of the prism [tex]'h' = 10cm[/tex]
Substitute the value in the formula of lateral surface area we get,
Lateral surface area of pentagonal prism [tex]= 5 \times 5\times 10[/tex]
[tex]= 250cm^{2}[/tex]
Hence, lateral surface area of the given prism is equals to [tex]250cm^{2}[/tex].
Learn more about lateral surface area here
https://brainly.com/question/14001755
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4 of 204 of 20 Questions
Question 4
What is the equation of the line that is parallel to y−5=−13(x+2) and passes through the point (6,−1)?
Answer:
y= -13x+77
Step-by-step explanation:
Parallel lines do not share any points but have the same slope.
First, put the equation y-5=-13(x+2) into slope-intercept form.
y= -13x-21
Slope= -13x
Y-Intercept= (0,-21)
Now that we know the slope...
y-(-1)=-13(x-6)
becomes
y+1=-13x+78
y-1=-13x+78-1
y=-13x+77
Simplify the complex number √-16+8.
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
OAmalOHopeO
Which will result in a difference of squares?
a
(negative 7 x + 4)(negative 7 x + 4)
b
(negative 7 x + 4)(7 x minus 4)
c
(negative 7 x + 4)(negative 7 x minus 4)
d
(negative 7 x + 4)(4 minus 7 x)
Answer:
C
Step-by-step explanation:
The correct answer is C, love from Gauthmath
Answer:
the correct answer is option C
Step-by-step explanation:
(negative 7 x + 4)(negative 7 x minus 4)
May anyone help me with this
Answer:
Step-by-step explanation:
y=3(x−3)^2+75
Answer:
(x - 3)² = - 25
Step-by-step explanation:
Given
- 3x² = - 18x + 102 ( add 18x to both sides )
- 3x² + 18x = 102 ( divide through by - 3 )
x² - 6x = - 34
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(- 3)x + 9 = - 34 + 9
(x - 3)² = - 25
Question
If a 45°-45°-90° triangle has a hypotenuse length of 72, what is the length of each leg of the triangle?
Select the correct answer.
O 7V2
O 7
O V2
O 2
Answer: B
Step-by-step explanation:
We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].
In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.
[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex] [combine like terms]
[tex]2a^2=(7\sqrt{2})^2[/tex] [square root both sides]
[tex]a\sqrt{2} =7\sqrt{2}[/tex] [divide both sides by root 2]
[tex]a=7[/tex]
Now, we know that a leg is length 7, which is B.
EVALUATE: 10x – 2y3 (if x = 5 and y = 2)
Answer:
10*(5) - 2*(2)^3
= 50 - 2*8
= 50 - 16
=34
Answer:
Step-by-step explanation:
với x=5 và y=2
phương trinh trở th a
10* 5 - 2 * 2^ 3
=50 - 2*8
=50 - 16
=34
Which function can be used to find r, the total amount the teacher pays in dollars when
z scissors are ordered?
A teacher is ordering scissors for her classroom.
• the teacher pays a one-time fee of $8.
• the teacher also pays $2 for each pair of scissors ordered.
How to solve this plsssss
Answer:
Hope this helps you
Answered by G a u t h m a t h
Which linear inequality is represented by the graph?
Answer:
D
Step-by-step explanation:
The correct answer is D
Answer:
D
Step-by-step explanation:
y<2/3 x-1 is the answer
Let f(x)=1/2|x−2|. Write a function g whose graph is a translation 7 units to the left of the graph of f.
Answer:
g(x) = -2(x - 6) - 7
Step-by-step explanation:
Sorry if I'm wrong
answer please it's urgent
Answer:
HOPE IT HELP YOU . Plz tell me if it is write or wrong .
Please help I don’t understand math
Answer:
x = 12
Step-by-step explanation:
The sum of the two smaller angles is 140
80+5x = 140
Subtract 80 from each side
80+5x-80 =140-80
5x = 60
Divide each side by 5
5x/5 = 60/5
x = 12
if the area is 1 then what is the side length of a square?
Answer:
1
Step-by-step explanation:
Since we are taking the area of a square, you can take the square root of its area to find the side lengths.
√1 = 1
A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31km.
Answer:
30 minutes
Step-by-step explanation:
Walk rate = 88 paces/ minute
Average length of pace = 0.875 m
Time taken to walk 2.31 km ;
The distance in metres :
1000 m = 1 km
2.31 km = (1000 * 2.31) = 2310 m
Recall :
Time taken = distance / speed
Distance walked in a minute = 88 * 0.875 = 77 m
Time taken = 2310 / 77
Time taken = 30 minutes
Problems 5-9, Find the value of the variable to the nearest tenth of each triangle.
Answer:
35
Step-by-step explanation:
BRAINLEST ID CORRECT!!!!!!
Answer:
x=11
Step-by-step explanation:
The two angles add to a right angle which is 90 degrees
35+5x = 90
Subtract 35 from each side
35+5x-35 = 90-35
5x= 55
Divide by 5
5x/5 = 55/5
x = 11
Find the value of x. Round to the nearest tenth
Answer: x= 42.3
Step-by-step explanation:
Sqrt a^2 + b^2 - (2ab)(cos 100)
Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)
42.3
Find X
Round to the nearest tenth
Answer:
x=437.3 ft
Step-by-step explanation:
cos(29)=B/H, cos(29)=x/500. x=437.3 ft
please help asap, see attached photo!!
WILL GIVE BRAINLIEST
How many integers n between 1 and 100 inclusive are there, such that n^2 + n is divisible by 99
Answer:
It is 121
Step-by-step explanation:
To earn $60 for the skateboard, Waheeda decides to run a lemonade stand. If she sells each glass of lemonade for $1.50, how many glasses of lemonade will she need to sell? Write and solve an equation to find the answer.
Cost of skateboard : $60
Cost of each lemonade = $1.50
Total glasses of lemonade to be sold = 60/1.5
= 60/15×10
= 4×10
= 40
Therefore she has to sell 40 glasses of lemonade
Must click thanks and mark brainliest
what is the equation of the line that passes through (1,5) and (3,1)
Answer:
Below
Step-by-step explanation:
First let's find m
m = Δy / Δx = y2 - y1 / x2 - x1
= 1 - 5 / 3 - 1
= -2
Now to find b, you can sub in the values of (x,y) for (1,5)
5 = (-2)(1) + b
-b = -2 - 5
-b = - 7
b = 7
Final equation
y = -2x + 7
Hope this helped!
Answer:
4x + 2y - 14
Step-by-step explanation:
I hope it is understandable.
