Answer:
c
Step-by-step explanation:
its conditional because you might not make the first free throw.
The situation that involves a conditional probability is the probability that you make a second free throw given that you made the first free throw.
Thus, option (C) is correct.
Conditional probability refers to the probability of an event occurring given that another event has already occurred.
In this case, the probability of making a second free throw is dependent on the condition that you made the first free throw.
Therefore, the probability that you make a second free throw given that you made the first free throw.
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Unit 6 similar triangles homework 5
Answer:
1) x = 12
2) x = 23.1
3) x = 19
4) x = 16
5) x = 8
6) x = 17
Step-by-step explanation:
Comparing the sides of each triangle, we have;
1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]
Cross multiply to get,
(32 + x) * 24 = 32 * 33
768 + 24x =1056
24x = 1056 - 768
24x = 288
x = 12
2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]
cross multiply to have;
34x = 14 (33 + x)
34x = 462 + 14x
20x = 462
x = 23.1
3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]
cross multiply to have;
36 * 30 = 20(x + 35)
1080 = 20x + 700
1080 - 700 = 20x
380 = 20x
x = 19
4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]
cross multiply to have;
42.5(2x - 5) = 22.5(3x + 3)
85x - 212.5 = 67.5x + 67.5
collect like terms
85x - 67.5x = 67.5 + 212.5
17.5x = 280
x = 16
5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]
cross multiply to have;
(2x + 8)(x + 7) = (2x + 4)(x + 10)
2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40
2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40
collect like terms to have;
22x - 24x = 40 - 56
-2x = -16
x = 8
6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]
cross multiply to have;
82(2x + 8) = 28(7x + 4)
164x + 656 = 196x + 112
164x - 196x = 112 - 656
-32x = -544
x = 17
The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.
1)
Given :
Two side lengths of a triangle are (x + 32) and 33.
According to the similar triangles property:
[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]
SImplify the above expression in order to determine the value of 'x'.
768 + 24x = 1056
24x = 288
x = 12
2)
Given :
Two side lengths of a triangle are 34 and (x + 33).
According to the similar triangles property:
[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
34x = 462 + 14x
20x = 462
x = 23.1
3)
Given :
Two side lengths of a triangle are 36 and (x + 35).
According to the similar triangles property:
[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
1080 = 20x + 700
20x = 380
x = 19
4)
Given :
Two side lengths of a triangle are (3x + 3) and 42.5.
According to the similar triangles property:
[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]
SImplify the above expression in order to determine the value of 'x'.
85x - 212.5 = 67.5x + 67.5
17.5x = 280
x = 16
5)
Given :
Two side lengths of a triangle are (2x + 8) and (x + 10).
According to the similar triangles property:
[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]
SImplify the above expression in order to determine the value of 'x'.
(2x + 8)(x + 7) = (2x + 4)(x + 10)
[tex]2x^2+22x+56=2x^2+24x+40[/tex]
16 = 2x
x = 8
6)
Given :
Two side lengths of a triangle are 82 and (7x + 4).
According to the similar triangles property:
[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]
SImplify the above expression in order to determine the value of 'x'.
28(7x + 4) = (2x + 8)82
32x = 544
x = 17
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Five boys namely, Abel, Ben, Carlo, Dave and Elmer made a race. They all started at 7:10 in the morning. Abel finished the race at 7:18 a.M., Ben at 7:32 a.M., Carlo at 7:38 a.M., Dave at 7:42 a.M. And Elmer at 7: 52 a.M. About how many minutes did Abel finished the race?
Answer:
8 minutes
Step-by-step explanation:
minutes Abel completed the race = time finished - time started
7:18 - 7:10 = 8 minutes
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answer: A
Step-by-step explanation:
what is 6 divided by 1/4
Answer:
24
Step-by-step explanation:
6 / 1 / 4 =
6 x 4 =
24
Answer:
6 divided by 1/4 is 24
Step-by-step explanation:
Can someone please help me figure out this problem. Thanks
Answer:
.6
Step-by-step explanation:
-2.1-.6=-1.5 / -1 1/2
only need help on 38 please
Answer: D
Step-by-step explanation:
Marquel can eat 7 Oreos in 2 minutes. How many Oreos can he eat in 6 minutes?
Answer:
21 Oreos
Step-by-step explanation:
2 × 3 = 6
7 × 3 = 21
hope this helps
What’s the quotient of 5,045 divided by 23
Answer:
219.347
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
Consider the arithmetic sequence 10,12,14,16 if n is an integer, which of these functions generate the sequence?
Given:
The arithmetic sequence is:
10, 12, 14, 16, ...
To find:
The function that generates the given sequence if n is an integer.
Solution:
We have,
10, 12, 14, 16, ...
Here, the first term is 10 and the common difference is:
[tex]d=a_2-a_1[/tex]
[tex]d=12-10[/tex]
[tex]d=2[/tex]
The nth term of an arithmetic sequence is:
[tex]a_n=a+(n-1)d[/tex]
Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].
Putting [tex]a=10,d=2[/tex] in the above formula, we get
[tex]a_n=10+(n-1)2[/tex]
[tex]a_n=10+2n-2[/tex]
[tex]a_n=8+2n[/tex]
Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.
Charlie is flying a kite one afternoon and steps on the end of the string to have his
hands free to take a picture. The string is 135 feet long and forms a 68-degree angle
with the ground. How high is his kite at this time? Round to the nearest foot, and
enter the number only.
Answer:
roubd it to 20 and you will get 679.90
I know the answer can someone just help me explain it???
Step-by-step explanation:
It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.
(1,5): d = 5t^2
5 = 5(1)^2
5 = 5*1
5 = 5, so this point is correct.
(2, 20): = d = 5t^2
20 = 5(2)^2
20 = 5*4
20 = 20, so this point is correct.
We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.
Median of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
Answer:
10.5
Step-by-step explanation:
Find the two middle numbers, add them together and divide them by two if it is an even number. For odd numbers, your median will be the middle number.
i need help solving this
Answer:
y= - 2/3x + 3
i need help please help meeeehhh
Answer:
e=26
d=52
f=154
Step-by-step explanation:
theyre equal to the ones across from them, and i used a line to find the measure of d
Solve the equation
x^2 = -8x-7
by factoring
Answer:
x= -1,-7
Step by step:
Answer:
x = -7 and -1
Step-by-step explanation:
Move the right side of the equation over to the left;
x^2+8x+7 = 0; Factor
(x+7)(x+1)=0 ; Solve for x;
x = -7 and -1
Does anyone know the answer for this?
Write the equation of the line in fully simplified slope-intercept form
Answer:
[tex]y=-\frac{3}{4} x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+c[/tex]. where m is the slope of the line and c is where the line meets the y-axis.
From the graph:
[tex]c=3[/tex], we can clearly see that the line crosses the y-axis at (0,3)
Let's get two points from the graph to find m.
Point 1: (0,3)
Point 2: (4,0)
[tex]m = \frac{dy}{dx}[/tex], where dy is the difference in y and dx is the difference in x.
Therefore, we can put our points into that equation.
[tex]\frac{3-0}{0-4} = -\frac{3}{4}[/tex]
So, now we have m and c, we can rewrite the equation [tex]y=mx+c[/tex] with our values.
This gives us: [tex]y=-\frac{3}{4} x+3[/tex]
simplify 3a - 4b - 6a +b
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{3a - 4b - 6a + b}[/tex]
[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\large\text{\underline{(3a - 6a)} + (\bf -4b + b)}[/tex]
[tex]\large\text{\underline{3a - 6a = \bf -3a}}[/tex]
[tex]\large\text{\bf -4b + b = \bf \underline{-3b}}[/tex]
[tex]\large\text{= \bf -3a - 3b}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -3a - 3b }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the following sequence to complete the sentence below.
8, -1, -10, -19
The sequence is (a geometric/arithmetic sequence) and has a (common difference/common ratio) of ________
Answer:not sure what u talking about
Step-by-step explanation:
Answer:
Since the ratios are constant, the sequence is geometric. The common ratio is –1. Since the ratios are constant, the sequence is geometric.
Evaluate f(−3) for f(x)=2x2−x+5.
Answer: -4
Step-by-step explanation:
2(-3)*2-(-3)+5= -4
8c^(2)+6c-2c^(2)-5c
Answer:
6c^2 + c
Step-by-step explanation:
8^2 - 2c^2= 6c^2
6c-5c = c
How do I solve this problem?
Answer:
504
6x84= 504
The picture is too big so you're not going to get the full explanation ok
PLEASE ANSWER EEEEEEEEEEEEEEEEEEE
Answer:
5 x 4 x 3 = 60
Step-by-step explanation:
Do - H x L x W
H is 5
L is 4
W is 3
when asher looks at the data he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed rigjt. Do you agree ir disagree
Answer:
can you please give more info
Step-by-step explanation:
Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.
On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.
As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.
Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.
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Use a permutation expression to solve.
In a race of 43 people, how many different ways can the runners place in 1st, 2nd, and 3rd?
Answer:
74046
Step-by-step explanation:
Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]
where r = choice of things from a set ( in this case the 3 places ) so r = 3
and n = amount of things ( in this case the 43 people ) so n = 43
We then plug in the values of n and r in the permutations formula
[tex]\frac{43!}{(43-3)!} =74046[/tex]
Hence the answer is 74046
A rectangle has an area of 75.2m
One of the sides is 0.8m in length.
Work out the perimeter of the
rectangle.
Answer:
94.8
Step-by-step explanation:
Aera is : length *width
75.2 = 0.8 * x then x =94
Perimeter is : length + width =94 +0.8
Translate algebraic words to symbols.
Six times y divided by x squared
A. 6y - X2
B. 6y + 2x
C. (6 + y)/2x
D. 6y/x2
Answer:
D
Step-by-step explanation:
Answer:
D. 6y/x²
Step-by-step explanation:
6×y= 6y
x squared =x²
In the right triangle shown,
m
∠
V
=
60
°
m∠V=60°m, angle, V, equals, 60, degree and
U
V
=
18
UV=18U, V, equals, 18.
60
°
60°
x
x
18
18
U
U
W
W
V
V
How long is
U
W
UWU, W?
Answer:
what
Step-by-step explanation:
20 minutes before 3 in the afternoon is written as _:__p.m.
Answer:
2:40 p.m.
Step-by-step explanation:
A circle that has a center at the point (3, -2) with a radius of 6. Write an equation for the circle.
Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36