Let's first denote:
F - a favorable response
F' - an unfavorable response
S - successful
We know that:
[tex]P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3[/tex]
So, from the conditional probability, we can calculate:
[tex]P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}[/tex]
Answer E.
Answer:
E IS CORRECT
Step-by-step explanation:
Enter a counterexample for the conclusion. If x is a prime number, then x + 1 is not a prime number. A counterexample is x = .
Answer:
x = 2
Step-by-step explanation:
If x is a prime number, then x + 1 is not a prime number.
A counterexample is x = 2.
x = 2
2 is prime
x + 1 = 2 + 1 = 3
3 is also prime
Is Figure B a scale copy of Figure A? Choose 1 answer: A. Yes B. No
Answer:
A Yes
Step-by-step explanation:
the ratio is 2:1
Answer:
A. yes
Step-by-step explanation:
Which equivalent expression will be generated by applying the distributive property and combing like terms in the expression 11+ 4(x + 2y + 4)
Answer:
Below
Step-by-step explanation:
● 11 + 4(x+ 2y + 4)
● 11 + 4x + 8y + 16
● 27 + 4x + 8y
Please someone explain
Triangles and angles
X=______ degrees
X 48
96
Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle
x= 48+96
x= 144°
Answer:
144°
Step-by-step explanation:
x is an exterior angle of the triangle.
Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = 48 + 96
x = 144
Answer: 144°
please help!! due soon!
Use the graph to complete the statement. O is the origin. T ο r(180°,O) : (4,2)
A. (-5, 0) B. (3, 4) C. (-3, -4) D. ( -4, -2)
Answer: D. (-4, -2)
Step-by-step explanation:
Rotating 180° about the origin means the signs for the x- and y-values are opposite.
(x, y) → (-x, -y)
(4, 2) → (-4, -2)
The coordinate after 180° of rotation will be (-4, -2). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The line is y = mx, then the point (4, 2).
The point (4, 2) is in the first quadrat.
The line is rotated by 180° about the origin.
Then the coordinate will lies in the third quadrant.
Then the value of the abscissa and ordinate will be transformed into negative.
Then the coordinate after 180° of rotation will be (-4, -2).
Then the correct option is D.
More about the transformation of a point link is given below.
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Answer please ??????????????????????
Answer: -1/2
Step-by-step explanation:
[tex]\\\displaystyle \lim_{x \to 3} \ \dfrac{\dfrac{1}{x+5}-\dfrac{1}{8}}{\sqrt{x+1}-2} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{\dfrac{3-x}{8} }{\sqrt{x+1}-2} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{(\sqrt{x+1}+2)*\dfrac{3-x}{8} }{(\sqrt{x+1}-2)*(\sqrt{x+1}+2)} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{(\sqrt{x+1}+2)*({3-x)} }{8*(x+1-4)} \\\\\\\displaystyle =\lim_{x \to 3} \dfrac{(\sqrt{x+1}+2)*({3-x)} }{8*(x-3)} \\\\\\\displaystyle =\lim_{x \to 3} -\dfrac{ (\sqrt{x+1}+2)} {8} \\\\[/tex]
[tex]=-\dfrac{1}{2}[/tex]
Determine the slope of a line which contains the points (2, 4) and (-6, 9). Write your answer in simplest form.
Answer:
-5/8
Step-by-step explanation:
(2,4) (-6.9)
m= y2-y1/x2-x1
= 9-4/-6-2
=5/-8
=-5/8
Which equation can be used to solve the problem?
75 percent of what number is 150?
O
75 x 1
150 x 1
75
150
150 x 2 300
75x2 150
200x2 400
75 x2 150
75 x 2
100 x 2
150
200
Answer:
see below
Step-by-step explanation:
75% of what number is 150
75 150
----- = ---------
100 x
75*2 = 150
So multiply the left by 2/2
75*2 150
----- = ---------
100*2 x
150
------
200
Answer:
The last question
Step-by-step explanation:
I took the test
What is 20 to 7 minus 1 hour 40 mins Will award brainliest
6:40 or 6 hour 40 minutes,
if you go back(subtract) 1 hour and 40 minutes
i.e. 6hours 40 minutes- 1 hour 40 minutes
subtract minutes from minutes and hours from hours,
5:00
note that here the minutes value is not negative so it was not a problem, what If it was 6:40-1:50?
I need this answer ASAP pls someone help ASAP work shown
Worth 10 pts
Answer:
5c² + 4c - 4
Step-by-step explanation:
Subtract the shaded area from the area of the outer rectangle, that is
(2c + 3)(3c - 2) - (c + 2)(c - 1) ← expand both pairs of factors using FOIL
= 6c² + 5c - 6 - (c² + c - 2) ← distribute parenthesis by - 1
= 6c² + 5c - 6 - c² - c + 2 ← collect like terms
= 5c² + 4c - 4
1. Solve x and y for the diagram.
Answer:
B
Step-by-step explanation:
The triangle RUS is similar to RST. 9/sqrt(90)=y/(3+x) and y^2=x^2+81. Solving all this will give x=27 and y=9*sqrt(10)
Value of x is 27 and value of y is [tex]9\sqrt{10}[/tex].
What is angle addition postulate?The angle addition postulate in geometry states that if we place two or more angles side by side such that they share a common vertex and a common arm between each pair of angles, then the sum of those angles will be equal to the total sum of the resulting angle.
X-value:
<RST = [tex]90^{0}[/tex]
[tex]tan( < RSU)= \frac{\overline R \overline U}{\overline S \overline U}[/tex]
[tex]tan( < RSU) = \frac{3}{9}[/tex]
[tex]< RSU = 18.435^{0}[/tex]
Angle addition postulate:
<RST = <RSU + <TSU
[tex]90^{0} =18.435^{0} + < TSU[/tex]
[tex]< TSU =71.565^{0}[/tex]
[tex]tan( < TSU) = \frac{\overline T \overline U }{\overline S \overline U}[/tex]
[tex]tan(71.565^{0})=\frac{x}{9}[/tex]
[tex]x=27[/tex]
Y-value:
<RST = [tex]90^{0}[/tex]
[tex]tan( < RSU)= \frac{\overline R \overline U}{\overline S \overline U}[/tex]
[tex]tan( < RSU) = \frac{3}{9}[/tex]
[tex]< RSU = 18.435^{0}[/tex]
Angle addition postulate:
<RST = <RSU + <TSU
[tex]90^{0} =18.435^{0} + < TSU[/tex]
[tex]< TSU =71.565^{0}[/tex]
[tex]cos( < TSU) = \frac{\overline S \overline U }{\overline S \overline T}[/tex]
[tex]cos(71.565^{0})=\frac{9}{y}[/tex]
[tex]y=9\sqrt{10}[/tex]
Value of x is 27 and value of y is [tex]9\sqrt{10}[/tex].
Find out more information about angle addition postulate here
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If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?
Answer:
180
Step-by-step explanation:
1) 600 % 100 = 6 (to get 1% of 600)
2) 6 x 5 = 30 (to get 5% pf 600)
3) 30 x 6 =180 (to get the amount of profit per the 6 years)
please give brainliest if this helps
If y is inversely proportional to x and y = 15 when x= 3 Find x when y = 5.
X=5
X=8
X=9
X=1
Answer:
answer is 1
Step-by-step explanation:
y∝x
y=kx
15=3k
divide 3 both sides
k=5
so y=5x
when y is 5
5=5×x
divide 5 both sides
x=1
Pls help me this is due tomorrow
Step-by-step explanation:
Claim: There's 14 Goats and 9 Chickens!!
Data:
Working with the Provided Information.
Let the Number of goats be x
let the Number of Chickens be y
x + y = 23..... (i)
Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.
The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y
4x + 2y = 74 .....(ii)
BRINGING BOTH EQUATIONS TOGETHER.
x + y = 23
4x + 2y = 74
From Eqn i
x= 23 - y
Substitute into eqn ii
4(23 - y ) + 2y = 74
92 - 4y + 2y = 74
92 - 2y = 74
2y = 92 - 74
2y = 18
y= 9.
Substitute y into any of the eqns to get x
x + y = 23
x + 9=23
x = 23 - 9
x = 14
This simply proves that there are 14 Goats and 9 Chickens!!!.
HAVE A GREAT DAY!
What's the correct answer to this..? Need help
Answer:
A.
Step-by-step explanation:
All of those graphs represent functions. You are able to tell because they all pass the vertical line test. The vertical line test is conducted by drawing a line that goes vertically and intercepts any point of the line in question. If the function crosses the vertical line twice, it is not a function. If it only intercepts once, it is a function. In this case, every graph is a function because they would intercept a vertical line once.
Tim works as a server in a restaurant.
A
group
for $112.50. They leave Tim a tip of 20%.
Another group at Table 15 have a bill of
$142.75 and leave a 15% tip. Which table
of people at Table 22 have a bill
left Tim the greater tip
Answer:
The first group left a greater tip
Step-by-step explanation:
The first group left a tip of 20%. 20% of 112.5 is 22.5
The first group left a tip of 15%. 15% of 142.75 is 21.4125. Round to the nearest hundredth -> 21.41.
Therefore, the first group left a greater tip
I hope this helps!
pls ❤ and give brainliest pls
ASAP !
Determine the value of x.
Question 1 options:
A: x = 2
B: x = 2.5
C: x = 1
D: x = 2.9
Answer:
x=2
Step-by-step explanation:
We can use the Pythagorean theorem since this makes a right triangle
a^2+b^2 = c^2
The radius is 1.5
1.5^2 + x^2 = (1+1.5)^2
1.5^2 +x^2 = 2.5^2
2.25+x^2=6.25
Subtract 2.25 from each side
x^2 = 4
Taking the square root of each side
x= 2
Answer:A
Step-by-step explanation:Took quiz
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
B
Step-by-step explanation:
we have a formula of volume:
V= 4/3*pi*R^3 = 4/3*3.14*(18/2)^3 = 3052.08
The vertex is 2,-4 what is the parabola equation
Answer:
y + 4 = (x - 2)^2
Step-by-step explanation:
The vertex form of the equation of a vertical parabola is
y - k = a(x - h)^2, where (h, k) represents the vertex and a is a scaling factor which stretches or compresses the parabola vertically. If all we know is the vertex (2, -4), then the desired equation is:
y + 4 = a(x - 2)^2
If there is no vertical stretching or compression, then the equation becomes:
y + 4 = (x - 2)^2
Answer:
y = x² - 4x
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 4) , with a = 1 , the equation is
y = (x - 2)² - 4 ← expand using FOIL
= x² - 4x + 4 - 4
y = x² - 4x ← equation of parabola
Find the total surface area.
Answer:
143.4 mi²
Step-by-step explanation:
Top: 8x6=48
Bottom: 3x8=24
Sides: 3x8=24 and 24
Trapezoids sides: (6+3)/2*2.6=4.5*2.6=11.7 and 11.7
TOTAL: 48+24+24+24+11.7+11.7= 143.4 mi²
X^2- 4x- 21 as a product of binominal factors
Answer:
( x-7) (x+3)
Step-by-step explanation:
X^2- 4x- 21
What two numbers multiply to -21 and add to -4
-7 * 3 = -21
-7+3 = -4
( x-7) (x+3)
Which value for the constant d makes x = -2 an extraneous solution in the following equation?
[tex]\sqrt{6-15x} =5x+d[/tex]
Answer:
Solution given:
[tex]\sqrt{6-15x} =5x+d[/tex]......(1)
d=?
and
x=-2
Substituting value of x in equation 1.
[tex]\sqrt{6-15*-2} =5*-2+d[/tex].
Solve the like terms
[tex]\sqrt{6+30} =-10+d[/tex].
solve the like terms
[tex]\sqrt{36} =-10+d[/tex].
we have square root of 36 is 6.
6=-10+d
d=16
the value of constant term is 16.
The value of d for the expression [tex]\sqrt{6-15x} = 5x+d[/tex] is 16.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The value of 'd' is calculated as,
[tex]\sqrt{6-15x} = 5x+d[/tex]
Put the value of x =-2,
[tex]\sqrt{6-(15\times -2)}=(5\times -2)+d[/tex]
√36 = -10 + d
6 = -10 + d
d = 16
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Need an explanation
Answer: Choice B
[tex](6\sqrt{5}+5)i[/tex]
==========================================================
Work Shown:
[tex]\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\[/tex]
This points us to answer choice B
which of the following equations is an example of inverse variation between the variables x and y?
Answer:
C
Step-by-step explanation:
A and B are examples of direct variations because there is a nonzero constant k in each such that y=kx. A's k=1/12 while B's k=12.
D is not a direct or inverse variation because of the plus/minus constant.
C is an inverse variation because it has form y=k/x where k is nonzero. This k=12.
Answer:
C
Step-by-step explanation:
The equation representing inverse variation is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
The only equation that fits this description is
y = [tex]\frac{12}{x}[/tex] → C
Jason is the captain of his basketball. The list below shows how many points Jason scores in each of the first 10 games of the season. Would the results show a sample or a population?
Since it was his first 10 games, it doesn’t represent all of the games so I thought it would be sample but many are saying it’s population
Answer:
Sample because it's only the first ten games of the season not of all the games in the season
Step-by-step explanation:
Answer:
Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.
Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..
It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.
The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.
[tex](cos^{2} x-sin^{2}x)^{2} -sin4x+sin^{2}2x=0[/tex]
Answer:
x=22.5°
Step-by-step explanation:
(cos²x-sin²x)-sin4x+sin²2x=0
or, (cos2x)²-sin4x+sin²2x=0
or, cos²2x+sin²2x-sin4x=0
or, 1-sin4x=0
or, sin4x=1
or, 4x=90°
or, x=90°/4
or, x=22.5°
Kite WXYZ is graphed on a coordinate plane.
What is the area of the kite ?
Answer: 14 units^2
Step-by-step explanation: 2 times 3 is 6, 2 times 4 is 8, 6+8=14.
Someone pleaseeee help me!!!! I’m stuck
Answer:
Hey there!
1/2 can also be written as 8/16.
Thus, starting from 0, count 8 tick marks, and place a point there.
3/16 is just 3/16.
Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.
This shows us that 8/16+3/16=11/16.
Hope this helps :)
Answer:
so 1/2+3/16 is 11/16
Step-by-step explanation:
count the lines until u get to 11 and thts where u put the point.
hope this helps.have a good day
The figure shown to the right is an isosceles triangle, and
R is the midpoint of PS.
The fig
labeled
A. Explain when it is appropriate to use the statement PT TS.
P
R
S
B. Explain when it is appropriate to use the statement PT = TS.
Answer:
We know that an isosceles triangle has 2 of its sides being equal
With R, being the midpoint of PS, we can say that
PR=RS
Noting that, with R as midpoint, we can conclude that RT is a straight line which divides angles TPR and TSR into 2 right angle triangles
Step-by-step explanation:
therefore angle at P is 45°. Angle at S also 45°
Therefore PT = TS
This is because T is 45 degrees as well as P which is also 45 degrees
angle in triangle PTS is 180 degrees
R is 90 degrees, P is 45 degrees and the whole of T is also 45 degrees(which has been split into 2)
4x- 3y = -13 -x + 6y = -44
Answer:
3x and 9y and -31 is the correct answer if you are bloviating.
Step-by-step explanation:
bloviate the factors of x and y.