Question: The probability that s student owns a car is 0.65, and the probability that a student owns a computer is 0.82.
a. If the probability that a student owns both is 0.55, what is the probability that a randomly selected student owns a car or computer?
b. What is the probability that a randomly selected student does not own a car or computer?
Answer:
(a) 0.92
(b) 0.08
Step-by-step explanation:
(a)
Applying
Pr(A or B) = Pr(A) + Pr(B) – Pr(A and B)................. Equation 1
Where A represent Car, B represent Computer.
From the question,
Pr(A) = 0.65, Pr(B) = 0.82, Pr(A and B) = 0.55
Substitute these values into equation 1
Pr(A or B) = 0.65+0.82-0.55
Pr(A or B) = 1.47-0.55
Pr(A or B) = 0.92.
Hence the probability that a student selected randomly owns a house or a car is 0.92
(b)
Applying
Pr(A or B) = 1 – Pr(not-A and not-B)
Pr(not-A and not-B) = 1-Pr(A or B) ..................... Equation 2
Given: Pr(A or B) = 0.92
Substitute these value into equation 2
Pr(not-A and not-B) = 1-0.92
Pr(not-A and not-B) = 0.08
Hence the probability that a student selected randomly does not own a car or a computer is 0.08
PLEASE HELP ME ! IMAGE IS BELOW IF YOU GET IT RIGHT I'LL MARK BRAINLIEST
Answer:
x = 17
y = 8
QPR = 35º
QRP = 60º
Step-by-step explanation:
2x + 1 = x + 18
Subtract x from both sides
x + 1 = 18
Subtract 1 from both sides
x = 17
QPR = 2x + 1
QPR = 2(17) + 1
QPR = 35º
-------------------------------
8y - 4 = 4y + 28
Subtract 4y from both sides
4y - 4 = 28
Add 4 to both sides
4y = 32
Divide both sides by 4
y = 8
QPR = 8y - 4
QRP = 8(8) - 4
QRP = 60º
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is its perimeter.
Answer:
64 inches or 64 pulgadas
Step-by-step explanation:
The formula for the perimeter of a rhombus is given as:
P = 4a
Where a = side length of the rhombus
From the above question, side length of the rhombus = 16 inches
Hence, Perimeter of the rhombus = 4 × 16 inches
= 64 inches
La fórmula para el perímetro de un rombo se da como:
P = 4a
Donde a = longitud del lado del rombo
De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas
Por lo tanto, perímetro del rombo = 4 × 16 pulgadas
= 64 pulgadas
Which THREE sets of ordered pairs represent functions? A) {(15, –3), (–6, 9), (–3, 0), (–1, 16), (5, 5)} B) {(6, 0), (–12, –16), (–6, 10), (20, –7), (16, 9)} C) {(12, –18), (15, 1), (12, 5), (0, 9), (–5, –17)} D) {(–13, 4), (7, –15), (–13, 9), (6, –12), (–18, 0)} E) {(10, 9), (–2, –16), (–6, 7), (5, 8), (8, –16), (–11, 9)}
Answer:
A, B, and E
Step-by-step explanation:
A function has only ONE out put for each input. For example in C 12 has two outputs, -18 and 5 so that set is NOT a function.
WILL MARK BRAINLIEST HELP ASAP ASAP
Answer:
ASA
Step-by-step explanation:
you can see there is 1 marking of (A)ngle and 1 marking of (S)ide in the middle they share that angle and they don't mark it
at this point you are down to 2 options AAS ASA
and you just look at witch order makes more since and ASA does because there is a S in the "middle" of the angles.
Answer:
SAS
hope u get this right
hope this helped
don't want mark brainliest just here to help
Step-by-step explanation:
What is the solution set to the equation 4x2 – 16 = 0?
Answer:
2
Step-by-step explanation:
add 16 to zero
4x2=16
Divide 4x by 2 and 16 by two
4x=8
divide 8 by 4
x=2
Answer:
x = ± 2
Step-by-step explanation:
Given
4x² - 16 = 0 ( add 16 to both sides )
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
solutions are x = - 2, x = 2
PLEASE HELP!! NEED ANSWER FAST!!! WILL MAKE BRAINLIEST!!!!
Use the given graph to determine the limit, if it exists.
- Find limit as x approaches three from the right of f of x.
Answer:
As X approaches 3 from the right side the Y value is 3.
HELP!!!!
What is the total surface area of the figure?
Answer:
200cm
Step-by-step explanation:
Write the equation as a single logarithm.
Pls help!!
Answer: C
Step-by-step explanation:
Just move the number by the log above the equation
please someone help this is on aleks
Answer:
second choice
Step-by-step explanation:
Factorise fully
-X – 10
Pls help
Answer:
-X – 10=-1(x+10) is your answer
Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not drawn to scale.
a-5
b-12
c-15
d-9
help what shape is this :,)
Answer:
Rectangular prism
Step-by-step explanation:
Answer:
Rectangular prism
Step-by-step explanation:
<3 Addie and Austen
Find the area of a vertical cross section through the centers of the bases of a cylinder with a height of 24 inches and a circumference of about 43.96 inches. Use 3.14 for π.
brainliest for who gets it right
Answer:
Step-by-step explanation:
Answer:
405 in^2
Step-by-step explanation:
Given data
Height= 27in
Circumference= 47.1 in
let us find the radius and the diameter of the base of the cylinder
from
C=2πr
47.1= 2*3.142*r
47.1= 6.284r
r= 47.1/6.284
r= 7.5 in
Diameter= 2r
D= 7.5*2
D= 15in
Hence the area of the cross-section
=H*D
=27*15
=405 in^2
A bagel shop sold 8 plain bagels and 13 rye bagels. What is the ratio of the number of rye bagels to the number of plain bagels sold?
Answer:
B
Step-by-step explanation:
since rye bagels come first after plain bagels, rye bagel is 13 & plain bagel is 8 so 13:8 is the answer!
I need helpppppp please !!!!!
Answer:
Step-by-step explanation:
I don't know if my answer is sorry if it is i think its B
what percent is 300 of 1l
Answer:
30%
Step-by-step explanation:
1L = 1000ml
--------------------
100%-> 1000
1%-> 10
300 ÷ 10 = 30%
Olivia works at a company that creates mobile phones. She wanted to estimate the mean amount of time their new phone's battery lasts with regular use after a full charge. She took a random sample of 6 of these phones and randomly assigned each of them to a volunteer. She instructed them to fully charge the phones and use them as they regularly would until the battery died (without recharging the phone). Here are the data they reported:
Assume that all conditions for inference are met.
Which of the following is a 90% confidence interval for the mean battery life (in hours)?
Answer:
9+- 1.7
Step-by-step explanation:
Kahn
The required possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.
What is Statistic?Statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
Assuming that the sample means and sample standard deviation were calculated from the data, a possible 90% confidence interval for the population means battery life can be calculated using the t-distribution.
For example, if the sample mean is 15 hours and the sample standard deviation is 3 hours, with a sample size of 6 and a 90% confidence level, the t-interval would be:
t-interval = sample mean ± t*(sample standard deviation / √(sample size))
where t is the t-value with (sample size - 1) degrees of freedom and a 90% confidence level.
Using a t-table, the t-value for 5 degrees of freedom and a 90% confidence level is approximately 2.571. Plugging in the values, we get:
t-interval = 15 ± 2.571*(3 / √(6))
t-interval ≈ (10.95, 19.05)
Therefore, a possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.
Learn more about Statistics here: https://brainly.com/question/23091366
#SPJ3
ILL BRAINLIEST YOU HELP ME PLEASE
Answer:
A = (0, -3)
B = (0, 0)
C = (-2, 0)
D = (-2, -3)
Step-by-step explanation:
The figure is being rotated 90° counterclockwise that's why it's now located in Q III. B remains the same since it's our turning point. Correct me if I'm wrong. I hope it helps.
Write the algebraic expression for “twice a number n decreased by seven”
Answer:
2n - 7
Step-by-step explanation:
the net of the rectangular prism is shown below. use a ruler to measure the dimensions of the net to the nearest half centimeter. what is the total surface area of the prism? can someone pls answer this i need the answer asap
Answer:
the answer is D. 40.5 cm
Please help me worth 10 points
Answer:
7.85
Step-by-step explanation:
firstly convert the 45 deg into radians
which is 0.785398 rads multiply it by ten ..
using the formula s=r∅
Answer:
Correct Answer Is 7.85
Step-by-step explanation:
Since 45 degrees is 1/8th of a circle Then you would find the circumference divided by 8.
10= Radius Then Circumference= 62.83
(Divide Circumference by 8) = 7.85 (Answer)
Select the correct answer.
If the graph of f(x) = 9^x is shifted 7 units down, then what would be the equation of the new graph?
Answer: g(x)=9^x-7
Step-by-step explanation:
Give the exact value of the trigonometric function.
csc225°
A. [tex]\sqrt{2}[/tex]
B. [tex]\frac{\sqrt{2} }{2}[/tex]
C. [tex]-\sqrt{2}[/tex]
D. [tex]\frac{-\sqrt{2} }{2}[/tex]
Please explain your answer, I will give brainliest, thank you!
Answer:
[tex] \displaystyle \text C)\csc( {225}^{ \circ } )= - \sqrt{2} [/tex]
Step-by-step explanation:
we want to figure out the exact value of the following:
[tex] \displaystyle \csc( {225}^{ \circ} ) [/tex]
recall that,
[tex] \displaystyle \csc( \theta ) = \frac{1}{ \sin( \theta)} [/tex]
we are given [tex]\theta=225°[/tex]
substitute:
[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{1}{ \sin( {225}^{ \circ} )} [/tex]
225° belongs to Q:III which we can clearly acquire from unit circle so,
[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{1}{ \dfrac{ - \sqrt{2} }{2} } [/tex]
By simplifying complex fraction we get:
[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2}{ - \sqrt{ 2} } [/tex]
notice that, what we acquired isn't in the option so multiply it by √2/√2
[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2}{ - \sqrt{ 2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]
simplify multiplication:
[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2 \sqrt{2} }{ - \sqrt{ 4} } [/tex]
simplify square:
[tex] \displaystyle \csc( {225}^{ \circ } )= \frac{2 \sqrt{2} }{ - 2} [/tex]
reduce fraction:
[tex] \displaystyle \csc( {225}^{ \circ } )= - \sqrt{2} [/tex]
hence,
our answer is C
PLS ANSWER I WILL MAKE YOU BRAINLIEST
A surveyor is standing 118 feet from the base of the Washington Monument. The surveyor measures the angle of elevation from the ground to the top of the monument to be 78°.
Find the height h of the Washington Monument to the nearest foot.
Answer:
555.1 ft
Step-by-step explanation:
Plz help will give brainliest!
Answer:
#162°+ m∠1 + m∠2 = 180° (straight angle)m∠1 + m∠2 = 118°2x + 8 + 3x = 1185x = 110x = 22m∠1 = 2*22 + 8 = 52°m∠2 = 3*22 = 66°Correct choice is B#2Side of the square:
a = 2*12 = 24 ftArea of the square:
A = a² = 24² = 576 ft²Radius of each circle:
r = 12/2 = 6 ftArea of each circle:
A = πr² = 3.14*6² = 113.04 ft²Area of all circles:
113.04*4 = 452.16 ft²Area of shaded region:
576 - 452.16 = 123.84 ft²Correct choice is BWhat’s the area??
BTW THE ANSWER IS NOT 78
Answer:
She shaded area?
12 x 10 = 120
6 x 7 = 42
42 divided by 2 = 21
Now we subtract both areas:
120 - 21 = 99 of the shaded region.
Answer:
99
Step-by-step explanation:
7 * 6 is 42 then divide by 2 = 21
12 * 10 is 120
120 - 21 = 99
8. In an isosceles triangle, does the median to the base bisect the vertex angle?
1. yes
2. no
3. cannot say
Answer:
1. yes
Step-by-step explanation:
If doesn't bisect then the triangle will not be isosceles... In isosceles two angles and sides are equal
2х + Зу = 5
у= 5 - x
also need method
Answer:
x=10, y=-5
Step-by-step explanation:
2x+3y=5, y= 5-x; change y to 5-x:
2x+3(5-x)=5
2x-3x+15=5
-x=5-15
-x=-10
x=10
=>y=5-x=5-10=-5
Anyone know (Worth lost of points, will mark brainliest!)
*I also do not accept links, Sorry!
Paige is ⅕ her mother's age. If the sum of their ages us 30, how old is Paige?
Answer:
I think it's 6 but im not sure
hope this helps
have a good day :)
Step-by-step explanation: