======================================================
Explanation:
There are 8+11 = 19 movies that are either horror or mystery.
This is out of 9+12+8+11+4 = 44 movies total.
Divide the two sums to get 19/44 = 0.43181818181818 approximately.
This rounds to 0.432
There's roughly a 43.2% chance of picking a horror or mystery movie.
4.Figure ABCD is similar to figure RSTU.
What is the length of side RU?
a.3cm
b.3.2cm
c.3.5cm
d.4cm
A thief who is particularly knowledgeable about statistics and the legal system determines that if he commits a given heist the probability that he is never caught is 60%. If he is arrested he will go to trial where there is a 30% chance the jury will acquit him, a 30% chance he is convicted and serves a prison sentence less than five years, and a 40% chance the sentence is more than five years.
What is the probability that the thief is not imprisoned in 5 years?
What is the probability that the thief was arrested given that he is not imprisoned in 5 years?
9514 1404 393
Answer:
about 28.6%
Step-by-step explanation:
The conditional probability equation can be used:
P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)
= 0.24/0.84 = 2/7 ≈ 28.6%
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.
How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet
Answer:
60 seconds, 7715 feet
Step-by-step explanation:
Plane A and B start out 615 feet apart, and we find this by subtracting the height of plane A from plane B, getting 5000-4385=615. Now we have to find how many more feet of altitude plane A is gaining per second over plane B.
To find this we subtract 45.25 from 55.5 and get 10.25 feet per second. Now to find out how many seconds until they'll be at the same altitude we simply divide 615 by 10.25, getting 60 seconds.
For the second part, to find the altitude at this point, we simply multiply the altitude gain of one of the planes per second by the time of 60 seconds to get how much altitude they gained over that time, and add it to the starting altitude. Doing this with plane B we get 45.25*60=2715, and we add that to 5000 to get the final answer of 7715.
Find the x- and y- intercepts of the line with the given equation
-6x+8y=-36
Answer:
Y int at
(
0
,
3
2
)
X int at
(
3
,
0
)
Step-by-step explanation:
The line is easier to visualize when the equation is in slope-intercept form:
4
x
+
8
y
=
12
Divide each side by 4:
x
+
2
y
=
3
2
y
=
−
x
+
3
y
=
−
1
2
x
+
3
2
Y-intercept (plug in 0 for x):
y
=
−
1
2
(
0
)
+
3
2
y
=
3
2
X-intercept (plug in 0 for y):
0
=
−
1
2
x
+
3
2
−
3
2
=
−
1
2
x
x
=
3
Answer:
x-intercept (6,0)
y-intercept (0,-4.5)
Step-by-step explanation:
the x-intercept will be when y=0
and the y-intercept will be when x=0
so
[tex]y=0\\\\-6x+8(0)=-36\\\\-6x=-36\\\\x=6[/tex]
so the x intercept will be at (6,0)
[tex]x=0\\\\-6(0)+8y=-36\\\\8y=-36\\\\y=-\frac{9}{2}\\\\y=-4.5[/tex]
so the y intercept will be at (0,-4.5)
12 out of 15 randomly selected
students in a class said they would vote
for Kim for class president.
Which is most likely true about all 35
students in the class?
Answer:
28 students would vote for kim
Step-by-step explanation:
Well first you do 12/15 which would be 0.8
Now to find how many students in that class said they would vote for Kim for class president, we multiply 0.8 by 35 to get that 28 students said they would vote for kim
Identify whether the given value is a statistic or parameter:
In a random sample of U.S. households, it was found that 72% have high-speed Internet.
Answer:
The value is a statistic, since it is from a sample.
Step-by-step explanation:
If the value is from a population, it is a parameter.
Otherwise, if the value is from a sample, it is a statistic.
In this question:
In a random sample of U.S. households, it was found that 72% have high-speed Internet.
The value is from a sample, so it is a statistic.
A diagram of a new competition swimming pool is shown. If the width of the
pool is 25 meters, find the length of the actual pool. (Round to the nearest
tenth)
47m at least I think it is
Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?
draw a diagram.
the two are similar bc of AAsimilarity
so 8.8 is to 4 as 22 is to x
basically the answer is 10 ft tall
Write as an algebraic expression: “eleven less than four times the number of text messages"
Answer:
[tex]11 < 4x[/tex]
let number of text messages be x
If the cornerstone represents when a building was built and it reads MDCCLXXV, when was the building built?
Step-by-step eAnswer:
1775
xplanation:
divide 18 by 3, then add 9
Answer:
15
Step-by-step explanation:
18 ÷ 3 = 6
6+3 =15
hope this helps
Given f(x) = x^3 + kx + 2, and x + 1 is a factor of f(x), then what is the value of
k?
Answer:
k = 1
Step-by-step explanation:
Given that,
[tex]f(x) = x^3 +kx + 2[/tex]
If (x+1) is a factor of (x), we need to find the value of k.
Using remainder theorem to find it.
Put (x+1) = 0
x = -1
Put x = -1 in equation below.
[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]
So, the value of k is 1.
5 cm
7 cm
10 cm
15 cm
8 cm
115 cm
What is the area of the object above?
OA. 60 cm2
OB. 155 cm
OC. 120 in?
OD. 225 cm2
Submit
Reset
Answer:
155
Step-by-step explanation:
calculate the areas of 2 rectangles
method A
one rectangle with lengths 8 and 10
the other 15 and 5
so 8x10 + 15x5 = 80 + 75 = 155
method B
one traingle with lenghts 5 and 7
the other 15 and 8
so 15x8 + 5x7 = 120 + 35 = 155
Question 3: i’ll mark u brainliest
Answer:
26
Step-by-step explanation:
56cm-48cm=8cm
18cm+8cm=26cm
this is so easy if you ask me u already know the answer and the answer is definitely 26 so make sure to like and rate my answer because that's why I mainly help people to get more points but as I just started it is difficult because people have got twice more than me
Simplify -14x^3/x^3-5x^4
A. -14/5x-1; where x=1/5,0
B.-14x/1-5x;where x=1/5
C.1-5x/-14x; where x=0
D.-14/1-5x; where x=1/5,0
Answer:
The answer is D
Step-by-step explanation:
plzzzzzzzzz help
Volume of the following triangular prism is 960 cm3…
a) Determine the length of the base of the triangle.
b) Determine the area of the triangle.
help plz
Answer:
Step-by-step explanation:
a). By applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
20² = 16² + BC²
BC = [tex]\sqrt{400-256}[/tex]
= 12
Therefore, another leg of the triangular base = 12 cm
Area of the triangular base ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(12)[/tex]
= 96 cm²
Volume of a triangular prism = Area of the triangular base × height
960 = 96 × b
b = 10 cm
b). Area of the triangle ABC = 96 cm²
Im serious this time is it appropriate to use a old notebook for a new class in highschool?
Specifically math cuz they made us get big five subject notebooks and we haven't even filled half of it and the years almost over I thought about reusing it for next year's math class
Answer:
Of course it is!
Step-by-step explanation:
You might want to have a separator, so you know what page your new year textbook starts. I hope this is a food tip to save money!
Please find x....................
Answer:
x = 14.1
Step-by-step explanation:
Reference angle = 62°
Side opposite to reference angle = x
Hypotenuse = 16
Applying trigonometric ratio, thus:
Sin 62 = x/16
Multiply both sides by 16
16*sin 62 = x
14.1271615 = x
x = 14.1 (nearest tenth)
What is the equation of the line of best fit for the following data ? Round the slope and y-intercept of the line to three decimal places
Answer:
y=1.164x+0.885
Step-by-step explanation:
np
Add pairs of adjacent numbers and write their sums in the box above them. What number is at the top of the pyramid?
Answer: 62
Step-by-step explanation HI
(-3,1) (4,2) slope
Show work pls
Answer:
The slope is:
[tex] \frac{1}{7} [/tex]
Step-by-step explanation:
⁕ Remember that slope formula is:
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
⁕ Let's plug in and solve.
[tex]m = \frac{ 2 - 1}{4 - ( - 3)} = \frac{ 1}{ 7}[/tex]
Therefore, the slope is:
[tex] \frac{1}{7} [/tex]
In the figure below, what are the lengths of “a”, “b”, and “c”? Round answers to nearest tenth.
Answer:
use a ruler to answer the question
Work out the surface area of this cylinder 8.2cm 17.5cm
Answer: 1324.12 sq. cm.
Step-by-step explanation:
A=2πrh+2πr2
A = 2π x 8.2 x 17.5 + 2π x 8.2^2
A = 2π x 143.50 + 2π x 67.24
A= 1324.12
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is 14.4 ft.
Step-by-step explanation:
We can solve this using proportion!
[tex] \frac{18}{x} = \frac{10}{8} \\ \\ \frac{10x}{10} = \frac{144}{10} \\ \\ x = 14.4[/tex]
Will mark brainliest!!Solve for x and round to the nearest tenth
Answer:
right triangles are 90 degrees sooooo
add 39 plus 27, that's 66
90 minus 66 issss 24
Math is genially hard
Can anyone please help me please
Answer:
this isnt spanish
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
The triangle on the right is bigger than the triangle on the left.
I am joyous to assist you at any time.
I will give brainiest to whoever answers correctly !!
Answer:
$10511.075
Step-by-step explanation:
Given :
Interest rate, r =. 1.25% = 0.0125 compounded semianually
Principal = 10000
Number of years, t = 4 years
Compound interest :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
n = 2 (quarterly)
A = 10000(1 + 0.0125/2)^2*4
A = 10000(1 + 0.00625)^8
A = 10000(1.00625)^8
A = 10000 * 1.051107529
A = 10511.075
Final. Amount to. Be repaid = $8515.13
Which of the following are magnitudes for rotational symmetry of the ellipse below about its center?
Choose all answer that apply:
All magnitudes less than 360°
180°
270°
Answer:
180 bestie
Step-by-step explanation:
The magnitude of rotational symmetry of the given ellipse is angle 180°.
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis,
then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: [tex](h \pm c, k)[/tex] where c^2 = a^2 - b^2
Let the magnitude of rotational symmetry of the given ellipse is angle θ.
Measure of angle θ is a straight line.
Measure of angle θ = 180°
Therefore, with a rotation of 180° ellipse will overlap itself.
Learn more about ellipse here:
https://brainly.com/question/19881832
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