Answer:
Step-by-step explanation:
s a die is rolled once, therefore there are six possible outcomes, i.e., 1,2,3,4,5,6.
(a) Let A be an event ''getting a prime number''.
Favourable cases for a prime number are 2,3,5,
i.e., n(A)=3
Hence P(A)=n(A)n(S)=36=12
(b) Let A be an event ''getting a number between 3 and 6''.
Favourable cases for events A are 4 or 5.
i.e., n(A)=2
P(A)=n(A)n(S)=26=13
(c) Let A be an event ''a number greater than 4''.
Favourable cases of events A are 5, 6.
i.e., n(A)=2
P(A)=n(A)n(S)=26=13
(d) Let A be the event of getting a number at most 4.
∴ A={1,2,3} ⇒ n(A)=4,n(S)=6
∴ Required probability =n(A)n(S)=42=23
(e) Let A be the event of getting a factor of 6.
∴ A={1,2,36} ⇒ n(A)=4,n(A)=6
∴ Required probability =46=23
(ii) Since, a pair of dice is thrown once, so there are 36 possible outcomes. i.e.,
(a) Let A be an event ''a total 6''. Favourable cases for a total of 6 are (2,4), (4,2), (3,3), (5,1), (1,5).
i.e., n(A)=5
Hence P(A)=n(A)n(S)=536
(b) Let A be an event ''a total of 10n. Favourable cases for total of 10 are (6,4), (4,6), (5,5).
i.e., n(A)=5
P(A)=n(A)n(S)=336=112
(c) Let A be an event ''the same number of the both the dice''. Favourable cases for same number on both dice are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6).
i.e., n(A)=6
P(A)=n(A)n(S)=636=16
(d) Let A be an event ''of getting a total of 9''. Favourable cases for a total of 9 are (3,6), (6,3), (4,5), (5,4).
i.e., n(A)=4
P(A)=n(A)n(S)=436=19
(iii) We have, n(S) = 36
(a) Let A be an event ''a sum less than 7'' i.e., 2,3,4,5,6.
Favourable cases for a sum less than 7 ar
write 1/6 as a percent
Answer: 16.666%
Step-by-step explanation:
On a coordinate plane, a line segment has end points at (-4, 2) and
(5,0). What is the midpoint?
To find the midpoint, we can follow the formula:
Midpoint = (x1 + x2) / 2 , (y1 + y2) / 2
Given the points (-4, 2) and (5, 0) we can plug in our values using the formula:
-4 + 5 = 1
1 / 2 = 1/2
Therefore, our x-coordinate is 1/2.
2 + 0 = 2
2 / 2 = 1
Hence, our y-coordinate is 1.
Integrating our new results, we will find that the midpoint of this data is (1/2, 1).
y = 5 4x+6y= 62 Solve forx
Answer:
x = 8
Step-by-step explanation:
4(8) + 6(5) = 62
32 + 30 = 62
62 = 62
Answer:
x = 8
Step-by-step explanation:
y = 5 and 4x + 6y = 62
4x + 30 = 62
Subtract 30 from each side:
4x + 30 - 30 = 62 - 30
4x = 32
Divide each side by 4:
4x ÷ 4 = 32 ÷ 4
x = 8
1-7 blanks plz help its due soon!
A jungle and wildlife preserve extends 80 miles north and 120 miles east of the ranger station. The ranger leaves from a point 100 miles east of the station along the southern boundary to survey the area. He travels
in a straight diagonal line, 0.6 miles north and 8.5 miles west every minute. A lion leaves the west edge of the
preserve 51 miles north of the station at the same time the ranger leaves from the southern border, also in a
straight diagonal line. Every minute the lion moves 0.1 miles north and 0.3 miles east.
Answer:
80 120 100 miles
Step-by-step explanation:
so this i know that the jungle is big but people are cutting the trees to minus it all and i don't really know thw answer i need points
log (100) = log (400) - log (4)
Answer:
log100=log(400)- log(4)
=log(100x4) - log4
=log100 + log4 -log4
= log100
Step-by-step explanation:
log400 = log 100x4 but log ab = log a + log b
Find the equation of the line with slope m=1 that contains the point (7,5).
Answer:
y = x - 2
Step-by-step explanation:
y = mx + b
5 = 1 (7) + b
5 = 7 + b
b = -2
So...
y = x - 2
AA
SSS
SAS
Not Similar
Answer:
vertically opposite angles and alternate pair
so by aa similarity they are similar
a point is chosen at random in the circle. What percent of the time will the point be in the square? Round to the nearest tenth of a percent.
Answer:
P = 0.637
Step-by-step explanation:
By a small online search, i've found that the image is a circle of radius R = 1in, and a square inside of the circle, such that the distance between the center of the square and the one vertex of the square is one inch.
To solve this problem, we need to find the area of each figure.
The area of a circle of radius R is:
A = 3.14*R^2
Then the area of our circle is:
A = 3.14*(1in)^2 = 3.14 in^2
Now for the square.
If the distance between the center and one vertex is 1 inch, then the distance between two opposite vertex is twice that: 2 inches.
Now we can think of a triangle rectangle, where both catheti are equal to L, the side length of the square, and the hypotenuse is 2 inches.
Using the Pythagoreans theorem, we get:
L^2 + L^2 = (2in)^2
2*L^2 = (2in)^2
L^2 = (2in)^2/2 = 2 in^2
L = √(2 in^2) = √2 in
And the area of a square of side length L, the area is:
A = L^2
Then the area of our square is:
A = (√2 in) = 2 in^2
Then:
Area of the circle = 3.14 in^2
Area of the square = 2 in^2
The area of the circle represents the 100% (if a point is chosen at random in the circle, the probability that the point will be inside the circle is P = 1)
The probability that the point will be inside the square is equal to the quotient between the area of the square and the area of the circle, this is:
P = (2 in^2)/(3.14 in^2) = 0.637
Find such a coefficient a for the linear equation ax –y=4, so that the graph of the equation would pass through the point M (3, 5).
PLEASE ANNOTATE SOME IMAGE AND SEND ME IM DESPERATE CORRECT ANSWER GETS LE BRAINLY
Does anyone know this?
Answer: 65 degrees
( Im probally wrong and how is this college math?????)
Step-by-step explanation:
A ball dropped a height from 100 m
Each time it hits the ground, it bounces 3/5 of the height it fell from.
How high did it bounce
A) on a first bounce?
B)on a second bounce?
If the 78% confidence interval is from 87 to 133, what would the 97% confidence interval be?
Answer:
The 97% confidence interval would be from 108 to 165.
Step-by-step explanation:
Since the 78% confidence interval is from 87 to 133, to determine what the 97% confidence interval would be, the following calculations must be performed:
78 = 87
97 = X
97 x 87/78 = X
8.439 / 78 = X
108.19 = X
78 = 133
97 = X
97 x 133/78 = X
12.901 / 78 = X
165.39 = X
Thus, the 97% confidence interval would be from 108 to 165.
EXPRESS THE AREA OF THE ENTIRE RECTANGLE. YOUR ANSWER SHOULD BE A POLYNOMIAL IN STANDARD FORM
Answer:
(x+7) times (x+3)
Step-by-step explanation:
Because a area of a rectangle is lw and you combine x and 3 to make x+3 and 7 and x to make x+7 and you multiply them together.
The area of the rectangle will be (x² + 10x + 21) unit².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The Length of the rectangle = x + 7
And, The width of the rectangle = x + 3
Now,
Since, The Length of the rectangle = x + 7
And, The width of the rectangle = x + 3
We know that;
The area of rectangle = Length × Width
= (x + 7) × (x + 3)
= x² + 3x + 7x + 21
= x² + 10x + 21
Thus, The area of rectangle = (x² + 10x + 21) unit²
Learn more about the rectangle visit:
brainly.com/question/9585915
#SPJ2
Find the side length, a.
Round to the nearest tenth.
A=29°
b=4
c=10
a=[?]
Answer:
a = 6.8
Step-by-step explanation:
Apply the Law of Cosines
a² = b² + c² - 2bc*Cos A
A = 29°
b = 4
c = 10
Plug in the values
a² = 4² + 10² - 2*4*10*Cos 29
a² = 116 - 69.9696
a² = 46.0304
a = √46.0304
a ≈ 6.8
3 cm on the scale represents a length of 8 feet. If the actual length of a garage is 36 feet, what is the length on the scale?
A. 13.5 cm
B. 96 cm
C. 15 cm
D. 10.5
Answer:
A. 13.5 cm
Step-by-step explanation:
36÷8=4.5
3×4.5=13.5
15 divided by 1/7 work out the problem
Answer:
105
Step-by-step explanation:
15÷1/7 = 15/1 x 7/1 = 105
Seema runs 5 miles more per week than her sister Padma. If Seema runs 17 miles per week, which equation could be used to find the number of miles Padma runs each week? Writ
Answer:
12
Step-by-step explanation:
because 17-5=12 so the answer is 12
What is x equal to in the following equation:
3^x=81
x=?
A. 2
B. 3
C. 4
D. 5
Answer:
3^4
Step-by-step explanation:
X = 4 or C
because, 3 x 3 x 3 x 3 = 81
What is the measure of angle 6? Question is in the jpg. Please help :(
Answer:
38
Step-by-step explanation:
Your welcome
Answer:
158
Step-by-step explanation:
angles 3 and 4 are 90. angle 2 is 68. 180-90-68=22.
180-22 = 158
Solve the given equation.
45
.
28
=
19
.
83
+
z
Answer:
[tex]z=-317[/tex]
Step-by-step explanation:
1) Simplify 45 × 28 to 1260.
[tex]1260=19*83+z[/tex]
2) Simplify 19 × 83 to 1577.
[tex]1260=1577+z[/tex]
3) Subtract 1577 from both sides.
[tex]1260-1577=z[/tex]
4) Simplify 1260 - 1577 to −317.
[tex]-317=z[/tex]
5) Switch sides.
[tex]z=-317[/tex]
Therefor, the answer is z = -317.
A notebook costs $4.30 plus sales tax. If Lucy paid 6.5% sales tax for her new notebook, what is the total she spends for her notebook?
Answer:
Its 4.58
Step-by-step explanation:
2 Equivalent fractions for 3/9
Which rectangular prism has the largest volume?
The Lorax can sell his Tuffla for $ .25 per pound. How much money will he earn if he sells 50,265 pounds?
Answer:
$12566.25
Step-by-step explanation:
because .25 is 1/4 of $1 all you have to do is divide 50,265 by 4 and that's your answer
you could also just multiply .25 by 50,265 to make it simpler and it'll come with the same answer
If f(x) = (x)(4^x), what is the simplified second derivative?
Find the measure of the numbered angles in each kite
273 to the nearest 100
Answer:
300
Step-by-step explanation:
7 rounded would make it higher
hope it helps
Answer:
300 is the answer
Step-by-step explanation:
I hope this helps!
Jaylen bed is 6 feet long and his desk is 3 feet long. he wants to leave a two foot space between his bed and desk. if there is 125 inches available along the wall, is there enough room for Jaylen to fit his bed and desk?
What’s the answer? I need help I don’t like similar triangles