If an applicant is chosen at random,
P(AIT) = __?
Answer Choices:
0.25.
0.36.
0.6.
0.75
Answers
Answer:
0.36 is chosen in the random
=====================================================
Explanation:
The notation P(A | T) is the same as saying P(A given T).
The "given T" means we know event T has happened. Therefore, the person we have selected has at least one tattoo. We focus only on the first column because of this.
We have m = 60 people ages 30-50 out of n = 240 people with tattoos.
This leads to the probability m/n = 60/240 = 1/4 = 0.25
There's a 25% chance we pick someone from the 30-50 age group if we know the person has at least one tattoo.
Related Questions
i need an answer , i've put the pic down
Answers
Answer:
D. g(x) = (3/2)(3^x)
Step-by-step explanation:
"Dilation" means the function is multiplied by some value. The y-intercept of f(x) is 3^0 = 1. We notice the y-intercept of g(x) is greater than 1, so the multiplier must be greater than 1.
The only such choice is ...
g(x) = 3/2(3^x) . . . . . choice D
__
Additional comment
g(1) is not 4.5 for choices A and B, so those can be eliminated. g(0) is not 3/2 for choice C, so that can be eliminated.
Can someone check this please!?
Answers
Answer:
Yes it is correct
Step-by-step explanation:
The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company is single or has a college degree is: Select one: A. 0.10 B. 0.667 C. 0.733 D. 0.25
Answers
Probabilities are used to determine the chances of events
The probability that an employee of the company is single or has a college degree is 0.733
How to determine the probabilityThe given parameters are:
n = 600 --- the number of employees
College graduate = 400
Single graduate = 100
Single and college graduate = 60
The number of people that are college graduate or single are:
n(Single or college graduate) = 400 + 100 - 60
Evaluate
n(Single or college graduate) = 440
The probability is then calculated as:
p = 440/600
Evaluate the quotient
p = 0.733
Hence, the probability that an employee of the company is single or has a college degree is 0.733
Read more about probability at:
https://brainly.com/question/25870256
There is a pole located in a garden. The pole’s base is 4.5 feet west and
5.1 feet north of a brick that marks the entrance of the garden. A bird is
sitting on top of the pole. If the pole is 6 feet tall, approximately how far
is the bird from the brick that marks the entrance of the garden?
A. 6.8 feet
B. 7.5 feet
C. 7.9 feet
D. 9.1 feet
Answers
The distance between the bird and the brick is 7.5 feet. Hence the correct answer is B. It is to be noted that the question is an exercise relating to solving the sides of a right-angled triangle.
What is the formula for finding the sides of a right-angled triangle?
The formulas for finding the sides of a right-angled triangle are:
For Side A, a = [tex]\sqrt{ (c^{2} - b^{2} })[/tex]
For Side B, b = [tex]\sqrt{ (c^{2} - a^{2} })[/tex]
For Side C, c = [tex]\sqrt{ (a^{2} + b^{2} })[/tex]
In this case, base - b has been given as 4.5 feet;
the height - a of the pole has been given as 6 feet. Note that the portion due west is a trick addition that is irrelevant to the solution.
Hence, c is equaled: [tex]\sqrt{ (6^{2} + 4.5^{2} })[/tex]
= [tex]\sqrt{ ( 36+ 20.25 })[/tex]
= [tex]\sqrt{56.25}[/tex]
= 7.5 Feet.
See the link below for more about sides of a rectangle:
https://brainly.com/question/17005369
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 60 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 25°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 25. 36 feet 27. 98 feet 100. 22 feet 128. 67 feet.
Answers
Angle of depression is the angle from horizontal line to the line of sight. The distance from building of the sculpture is: Option d: 128. 67 feet.
What is angle of depression?You look straight parallel to ground. But when you have to watch something down, then you take your sight up by moving your head down. The angle from horizontal to the point where you stopped your head is called angle of depression.
For the given case, referring to the figure, we have:
Length of BC = |BC| = 60 ft.
Length of AB = |AB| = x ft (distance of sculpture from building horizontally).
∠CAB = 25°
Thus, using tangent ratio from point of view of ∠CAB, we get:
[tex]\tan(25^\circ) = \dfrac{|BC|}{|AB|} = \dfrac{60}{x}\\\\x = \dfrac{60}{tan(25^\circ)} \approx 128.67 \: \rm ft[/tex]
(value of tan25° was calculated from calculator available online)
Thus,
The distance from building of the sculpture is: Option d: 128. 67 feet.
Learn more about angle of depression here:
https://brainly.com/question/10564373
Answer: D:128.68
Step-by-step explanation:
i got it write on my test .
Translate the sentence into an inequality.
A number c divided by 8 is greater than or equal to 26.
Answers
Answer:
c÷8≥26
Step-by-step explanation:
Hope this helps.
The LCM of two numbers is the product of the two numbers. Discuss
Answers
Answer:
Sometimes, not always.
Step-by-step explanation:
The LCM is the lowest common number between 2 numbers, sometimes it can represent the product of the 2 numbers, but sometimes it doesn't.
2 Examples:
2: 2, 4, 6, 8, 10.
3: 3, 6, 9, 12, 15.
6 is the least common multiple of 2 and 3 and it does represent the product between both numbers.
17: 17, 34, 51, 68, 85.
34: 34, 68, 102, 136, 170.
34 is the least common multiple of 17 and 34 and it does not represent the product between both numbers, the product is represented as 578.
We can prove that sometimes the LCM is the product between 2 numbers, and sometimes not.
Can someone please help answer this question :)
Answers
Answer:
4 - [tex]\sqrt{6}[/tex]
Step-by-step explanation:
Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.
the conjugate of 4 + [tex]\sqrt{6}[/tex] is 4 - [tex]\sqrt{6}[/tex] , then
= [tex]\frac{10(4-\sqrt{6}) }{(4+\sqrt{6})(4-\sqrt{6}) }[/tex] ← expand denominator using FOIL
= [tex]\frac{40-10\sqrt{6} }{16-6}[/tex]
= [tex]\frac{40-10\sqrt{6} }{10}[/tex] ( divide terms on numerator/ denominator by 10 )
= 4 - [tex]\sqrt{6}[/tex]
Shade 9/50.
please help thank you
Answers
What is the value of x if m ∠ 5 = 10x + 5 and m ∠ 3 = 8x - 5
Answers
Answer:
x = 10
Step-by-step explanation:
∠ 5 and ∠ 3 are same- side interior angles and sum to 180° , that is
10x + 5 + 8x - 5 = 180 , so
18x = 180 ( divide both sides by 18 )
x = 10
The length of the base of a triangle is twice its
perpendicular height. If its area is 36 cm2, find
its length and perpendicular height.
Answers
Answer: height = 6, length = 12
Step-by-step explanation:
Let the length of the height = x.
Then, the length of the base = 2x
The formula for the area of a triangle is base*height/2, which equals 36 in this case.
Therefore, x*2x/2 = 36
x^2 = 36
x = 6, 2x = 12
Thus, the height = 6 and then length = 12
If x > 2, find lx-2l
Help pleaseee
Answers
Explanation:
If x > 2, then x-2 > 0 after subtracting 2 from both sides.
Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.
For example, if we tried something like x = 5, then
x-2 = 5-2 = 3|x-2| = |5-2| = |3| = 3Both outcomes are 3. I'll let you try other x inputs.
So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.
In short, we just erase the absolute value bars.
The sum of two numbers is 2715. The bigger number is 4 times as much as the smaller number. What is twice of the smaller number?
Answers
Answer:
1086
Step-by-step explanation:
let 4x=bigger number x=smaller number
4x+x=2715
5x=2715
5x/5=2715/5
x=543 (smaller number)
4x=4(543)=2172 (bigger number)
so
2172+543=2715
then
What is TWICE of the smaller number?
543*2=1086
What is the maximum area of a rectangle with a perimeter of 320 feet?
Answers
Answer:
For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)
Step-by-step explanation:
need help on this question.
Answers
Answer:
Choose A I know this cause I'm smart
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
At which store is the cost of apples the least?
A
B
C
D
Answers
Answer 10
Step-by-step explanation:
Answer:
A. The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
Step-by-step explanation:
no explanation just right
Jackie practices her ballet every day,even on the weekends,for half an hour.how many hours does she practice in a week?
Answers
Half and hour for 7 days is 3.5 hours
The ratio tables at the right show the comparison of books to games at Bert's Store and at Gloria's Store. Complete the ratio tables. Which store has the greater ratio of books to games? Explain.
Books : 4|number goes here| number goes here| number goes here| number goes here|
Games: 6|number goes here| number goes here| number goes here| number goes here|
Answers
Gloria’s store 5,10,15,20,25. 8, 16, 24, 32,40,
Berts store has more. Hope this helps :)
Birt's store has a greater ratio of books to games in comparison to Gloria's store.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given the table:
Bert’s store
Books: 4,8,12,16,20.
Game: 6,12,18,24,30
Gloria’s store
Books: 5,10,15,20,25.
Games: 8, 16, 24, 32,40,
Since the fourth data of the birt store has an equal base to the third data of Gloria's store.
Thus, we can compare the data from the upper tables
So, 16 > 15
thus,
we can say that Bert's store has a greater ratio.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
Complete question:
pls help me solve this pls
Answers
Answer:
no solution
Step-by-step explanation:
absolute value cant be negative
15. Find M /_ B.
C
(5x + 18)
B
(8x + 7)
D
(10x + 13)
A
(14x - 11)
Answers
Answer:
B = 79°
Step-by-step explanation:
The sum of interior angles of a quadrilateral is 360°.
(14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°
37x +27 = 360 . . . . . . divide by °, collect terms
37x = 333 . . . . . . . . subtract 27
x = 9 . . . . . . . . . . . divide by 37
The measure of angle B is ...
B = (8x +7)° = ((8)(9) +7)°
B = 79°
_____
Additional comment
The other angles are ...
A = 115°, C = 63°, D = 103°
.Solve for x. How many solutions are possible with this equation?
2/3 (3x + 6)-5
I need help
Answers
Answer:
17x1-4+183
Step-by-step explanation:
What is the additive inverse of -96
Answers
find the value for x in the following image
Answers
[tex] \\ [/tex]
value of x.[tex] \\ [/tex]
Solution:[tex] \\ [/tex]
⇢ x + 70° = 110°
Reason {
VOC (Vertically opposite angles).
What is VOC?
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines}
[tex] \\ [/tex]
⇢ x = 110° - 70°
[tex] \\ [/tex]
⇢ x = 40°
[tex] \\ [/tex]
Vertication:[tex] \\ [/tex]
⇢ x + 70° = 110°
put value of x
[tex] \\ [/tex]
⇢ (40°) + 70° = 110°
[tex] \\ [/tex]
⇢ 110 ° = 110°
[tex] \\ [/tex]
LHS = RHShence it is verified that value of x is 40°
Answer:
x = 40°Step-by-step explanation:
In the question we arw given with three angles that are z
Angle 1 = x°Angle 2 = 70°Angle 3 = 110°( Angle 1 , Angle 2 or Angle 3 aren't given in Question , we are just giving names for given angle . So that there's ease on explanation )
And we have asked to find th value of angle 1 i.e. x .
Solution : -
As we can see in the question that ,
Angle 1 + Angle 2 = Angle 3 ( Vertically Opposite Angles )Vertically Opposite Angles : -
When two lines intersect each other then the two angles formed by them at a specific point are equal .
[tex] \longmapsto x° + 70° = 110°[/tex]
Subtracting 70 from both sides :
[tex]\longmapsto x° + \cancel{70° }- \cancel{70° }= 110° - 70°[/tex]
On further calculation :
[tex] \longmapsto \purple{ \boxed{ \mathfrak{ x° = 40 {°} }}}[/tex]
Therefore , value of x is 40° .Verification : -
We are verifying our answer by substituting value of x . So ,
x + 70° = 110°40° + 70° = 110°110° = 110°L.H.S = R.H.SHence , Verified .Therefore, our value for x is correct
if the image of point P(3,5) is (9,3) when translated by T(a,b) , find the value of a and b.
Answers
Step-by-step explanation:
this is the answer of your question..........
suppose Yolanda places $2,500 in an account that pays 8% interest compounded each year assume that no withdrawals are made from that account follow the instructions below do not do any rounding
Answers
Answer:2,127.33
Step-by-step explanation:
I need help with this
Answers
Answer:
-26
Step-by-step explanation:
Use the given formula to find the next terms.
c(1) = 6 . . . . . . given
c(2) = c(1) -16 = 6 -16 = -10
c(3) = c(2) -16 = -10 -16 = -26
The third term in the sequence is -26.
What is the center of a circle represented by the equation (x−5)2 (y 6)2=42? (−6,5) (−5,6) (5,−6) (6,−5).
Answers
The center of the circle is (5, -6). Option C shows the center of the circle.
What is a circle?
A circle can be defined as the set of all points in the plane that are a fixed distance from a fixed point on the plane.
Given that the equation of the circle is,
[tex](x-5)^2+(y+6)^2=42[/tex]
We know that the general form of the equation of the circle is,
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Where h, k is the center of the circle and r is the radius of the circle.
Compare the given equation with the general form of the equation, we get,
[tex](x-h) = (x-5)[/tex] and [tex](y-k) = (y+6)[/tex] and [tex]r^2 = 42[/tex]
For x-axis,
[tex](x-h) =(x-5)[/tex]
[tex]h = 5[/tex]
For y-axis,
[tex](y-k) = (y+6)[/tex]
[tex]k = -6[/tex]
Hence we can conclude that the center of the circle is (5, -6). Option C shows the center of the circle.
To know more about the equation of the circle, follow the link given below.
https://brainly.com/question/10165274.
Answer: C
Step-by-step explanation:
right on edge
The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle? One-half StartFraction StartRoot 2 EndRoot Over 2 EndFraction StartFraction StartRoot 3 EndRoot OVer 2 EndFraction
Answers
Answer:
(a) 1/2
Step-by-step explanation:
The coordinates of the point of intersection of the terminal side of angle α with the unit circle are ...
(x, y) = (cos(α), sin(α))
When α = 60°, the x-coordinate of the terminal point is cos(60°) = 1/2.
please help IN 5-10 mins 15 points
Answers
Answer:
C, D and E
Step-by-step explanation:
volume of prism = W x L x H
where W = width, L = length and H = height
Volumes
Prism A: 5 x 6 x 4 = 120 cm³
Prism B: 4 x 8 x 3 = 96 cm³
Prism C: 3 x 7 x 5 = 105 cm³
True statements
C. Prism B has the least volume
D. The volume of prism A is 120 cubic centimeters
E. The volume of prism C is less than the volume of prism A
[tex]\text{volume}=4\times5\times6=120cm^3[/tex]
Prism B[tex]\text{volume}=3\times8\times4=96cm^3[/tex]
Prism C[tex]\text{volume}=5\times7\times3=105cm^3[/tex]
A. - incorrect
B. - incorrect
C. - correct
D. - correct
E. - correct
Answer: CDE
Which equation matches the line from the graph?
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
use the graph to find another point, and then calculate the slope. you can also use the graph to find the y-intercept, and then use the slope you just found to put the equation in slope-intercept form.
hope this helps :)
Answer: y = 2x - 3
Step-by-step explanation: