Answer:
Probability that one of them is mathematics and other two are either physics or history books = 0.51
Step-by-step explanation:
Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.
To find - What is the probability one of them is mathematics and other two are either physics or history books ?
Solution -
Given that,
A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.
So,
Total number of books = 3 + 3 + 1 = 7
The student has to select 3 books
So, Total number of ways = [tex]^{7} C_{3}[/tex] = 35
So,
Probability that one of them is mathematics and other two are either physics or history books is -
= [tex]\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}[/tex]
= [tex]\frac{(3)(6)}{35}[/tex]
= [tex]\frac{18}{35}[/tex]
= 0.51
⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51
PLEASE HELP ME ASAP
A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.
Answer:
28 cm
Step-by-step explanation:
side opposite of 30° = x = shorter leg / opposite.
side opposite of 60° = x√3 = adjacent.
side opposite of 90° = 2x = hypotenuse.
Solve 22 = - 3d + 1. Show your steps.
Answer and Step-by-step explanation:
Solve for D.
Subtract 1 from both sides of the equation.
22 - 1 = -3d + 1 - 1
21 = -3d
Divide both sides by -3.
21 ÷ -3 = -3d ÷ -3
-7 = d
d is equal to -7.
#teamtrees #PAW (Plant And Water)
what is the value of x
Answer:
8
Step-by-step explanation:
Lines have angles that are equal to 180. Therefore, because we already have 140 of the 180 necessary, we can subtract 140 from 180 to get 40. 40 divided by 5 is 8.
Hope that this helps!
Answer:
I. x=8
Step-by-step explanation:
lines form 180° angles so
140 +5x= 180 ; subtract 140 from both sides
5x= 180-140; divide both sides by 5
x= 40/5 = 8
156 divided by 3 with remaining
Answer: 52
Step-by-step explanation:
Divide 156 by 3, you get 52 with a remainder of 0.
In long division, you would write it as:
To perform the division, start by dividing 3 into the first digit of 156, which is 1.
3 ) 156 ( 52
- 15
_______
6
-6
_______
0
3 cannot go into 1, so you move to the next digit, 15. 3 can go into 15 five times (3 * 5 = 15). After subtracting 15 from 15, you have 0.
Now, you bring down the last digit, 6, to form 6. Since 3 can go into 6 two times (3 * 2 = 6), the final quotient is 52, and the remainder is 0.
In summary, 156 divided by 3 is equal to 52, with no remaining or fractional parts.
Learn more about Divided here:
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The running back ran a total of 258 yards during the football game last Sunday. That was ten less than three times the amount of yards, y, that he ran two weeks ago. Which equation can be used to find the number of yards that he ran two weeks ago?
Answer:
258 = 3y - 10
3y = 258 + 10
3y = 268
Step-by-step explanation:
FBISD bought 12 new chairs for $28.99 each, and 8 tables for $45.50 each. What is the total price, including 8.25% sales tax.
A)$772.39
B)$711.88
C)$347.88
D)$60.51
Please hurryyyyy please
Answer:
d
Step-by-step explanation:
1000 + 874 + 53528 - 1026 =
Answer:
54376
is the answer .......
Solve for an angle in right triangles
Answer:
75.5
Step-by-step explanation:
Using trigonometry
Arccos(2/8)
Answer:
8.25
Step-by-step explanati
Decide if the following statement is valid or
invalid.
If you live in Miami, then you live in Florida.
Jada lives in Florida, so she lives in Miami.
Valid
Invalid
Answer:
Invalid
Step-by-step explanation:
Answer:
Invalid
Step-by-step explanation:
You can live in Florida outside of Miami.
Question 7 of 10
These box plots show daily low temperatures for a sample of days in two
different towns.
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
Answer:
A
Step-by-step explanation:
In a box plot, interquartile range (IQR) can be used to describe the spread of any given data.
IQR = Q3 - Q1
✔️IQR for Town A:
Q3 = 40
Q1 = 20
IQR = 40 - 20 = 20°
✔️IQR for Town B:
Q3 = 30
Q1 = 20
IQR = 30 - 20 = 10°
We can conclude that the IQR for town A, 20°, is greater than the IQR for town B, 10°.
A spherical boulder is 12 ft in diameter and weighs almost 8 tons. Find the volume. Use 3.14 for pi.
Answer:
904.32 ft^3
Step-by-step explanation:
Volume of a sphere = 4/3 x pi x r^3
r = 12/2 = 6
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
4/3 x 3.14 x 6^3 = 904.32 ft^3
Direct, inverse, or neither?: xy = 15
Answer:
Well, to be perfectly honest in my humble opinion, of course without offending anyone who thinks different from my point of view but also by looking into this matter in a different perspective and without condemning one's view and by trying to make it objectified and considering each and everyone's valid opinion, I honestly believe that I completely forgot what I was going to say.
the perimeter of a rectangle parking lot is 322 m. if the length of the parking lot is 86 m, what is the width
Bob walks 8/10 of a kilometer to school each day. How many kilometers does bob walk to school in 5 days ?
Answer:
4 in 5 days
Step-by-step explanation:
In the diagram below, what is the measure of angle 1?
Answer: 82 degrees
Step-by-step explanation:
Evaluate -33.
-27
-9
9
27
Answer:
- 27
Step-by-step explanation:
(- 3)³
= - 3 * - 3 * - 3
= - 27
Hope it will help :)❤
Answer:
[tex] - {3}^{3} \\ = - 27[/tex]
Carly buys 3 more band concert tickets than choir concert tickets. Band concert tickets cost $3.50 per ticket. What is the cost for the choir concert and band concert tickets?
Answer:
I'm not to sure, but I'll say 10.5
If you multiply 3.50 x 3 you'll get 10.5
If you add you'll get 13.5.
If it's an addition I'll recommend to go with 13.5
If it's a multiplication I'll recommend to go with 10.5
What is the product of 4 cos
14 (cos(37) + i sin (34) and 2 (cos(5) + sin(5)}?
--4 cot (--45)
cos (390)
sin (330)
PLS HELP!! GIVING BRAINLIEST!! :((
Ian Uses The Rule Add 1/2 Then Multiply By 2 Starting From 0
Answer:
1 3 7 15 31
Step-by-step explanation:
i used a calculator. Calculator Soup® is a good website for calculating stuff
Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)
HELPPPPPPPP
Answer:
$103
Step-by-step explanation:
Your living room is carpeted but you have allergies, and need to cover the 9 points floor with hardwood panel flooring. The panel flooring at Lowes cost $3.19 per square foot. (scale: 1m = 3.28 ft) Hint: Each unit contains 32.29 square feet. How much will it cost to purchase the flooring panels? (round to the nearest cent)
From the above question:
1 square foot = $3.19
32.29 square feet = x
Cross Mulitiply
x = 32.29 × $3.19
x = $103.0051
Approximately to the nearest cent = $103
Therefore, it will cost $103 to purchase the flooring panels
Aşağıda verilen kesirlerin yüzde sembolü kullanılarak verilen gösterimlerden hangisi yanlıştır A 3/4=%75 B 2/4=%50 C 8/25=%32 D 15/75=%12
Cevap:
D
Adım adım açıklama:
Verilen İfadelerin Değerlendirilmesi:
3/4 = 0.75; 0,75 *% 100 =% 75 - doğru
2/4 = 1/2; 1/2 *% 100 =% 50 - Corect
8/25 = 0,32 *% 100 =% 32 - doğru
15/75 = 1/5 = 0,2 * 100 =% 20,% 12 olarak verildiği için yanlıştır
Why to solve this question
Answer:
35°, 70°, 75°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , then
x + 2x + 75 = 180
3x + 75 = 180 ( subtract 75 from both sides )
3x = 105 ( divide both sides by 3 )
x = 35
2x = 2 × 35 = 70°
The angles in the Δ are 35°, 70°, 75°
The three angles of the triangle are 75°, 70° and 35°.
Step-by-step explanation:
We know that,
Sum of angles of a triangle = 180°
⇢ 75° + 2 x + x = 180°
⇢ 3x = 180° - 75°
⇢ 3x = 105°
⇢ x = [tex] \frac{105}{3} [/tex]
⇢ x = 35°
[tex]{\boxed{\mathcal{\red{Brainly\:Star.}}}}[/tex]
I have a question that has already been answered. I just need someone to please explain the steps.
Find the coordinates of the minimum point of the function- f(x) = x^2 + 4x - 5.
Solution-
We need to express x^2 + 4 - 5 in the form (x+h)^2 + k.
Let x^2 - 4x = (x - 2)^2 - 4 (Where did the -4 come from?)
x^2 + 4x - 5 = [ (x - 2)^2 - 4] - 5
= (x - 2)^2 - 9
All I wanna know is where the -4 came from. what rule must be applied.
Answer:
Step-by-step explanation:
Using brackets will really help.
y = (x^2 + 4x + ... ) - 5 You are trying to complete the square. The square in this case is a trinomial that is squared.
To do that, you take 1/2 the linear term (4x)/2, drop the x (4/2), and square the result (4/2)^2. The number is 2^2 which is 4.
So far what you have is
y = (x^2 + 4x + 4) - 5
Now you just can't add 4 without adjusting it somehow. If you do, the whole question will change it's value. Because you added 4 inside the brackets, you must subtract 4 outside the brackets.
What that means is 4 inside - 4 outside. So it looks like this
y = (x^2 + 4x + 4) - 5 - 4
Now you continue on
y = (x + 2)^2 - 9 The 4 combines with the 5 to make nine.
What is the focus of the parabola?
y =1/4x^2 -x-1
Enter your answer in the boxes.
Answer:(-y/(1/2)) -x/(1/2)=1
Step-by-step explanation:
The coordinates of the focus of the parabola are (2, -1.9375)
How to determine the focus?The equation of the parabola is given as:
[tex]y = \frac 14x^2 - x - 1[/tex]
Express as a vertex form
[tex]y = \frac 14(x - 2)^2 - 2[/tex]
The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is
Focus = (h, k + 1/4 a)
By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:
a = 1/4
h = 2
k = -2
So, we have:
Focus = (2, -2 + 1/4 * 1/4)
Evaluate
Focus = (2, -1.9375)
Hence, the coordinates of the focus of the parabola are (2, -1.9375)
Read more about parabolas at:
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There are 8 blue marbles, 3 red marbles, and 4 yellow marbles in a bag. What is the probability of selecting a purple marble on the first draw?
Answer:
0
Step-by-step explanation:
there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0
42÷(13×6×7)=
I need help
Answer:
The answer is 1/13
Step-by-step explanation:
42÷(13×6×7)
= 42÷546
= 1/13
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24
cards, which was 20% of the cards sold for Mother's Day. How many cards were sold
for Mother's Day?
Answer:
120
Step-by-step explanation:
20 * 5 = 100 so we multiply 24 by 5 and that equals 120
Find the volume of a pyramid with a square base, where the perimeter of the base is 10.1\text{ ft}10.1 ft and the height of the pyramid is 13.4\text{ ft}13.4 ft. Round your answer to the nearest tenth of a cubic foot. Find the volume of a pyramid with a square base, where the side length of the base is 6.1\text{ m}6.1 m and the height of the pyramid is 4.7\text{ m}4.7 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
28.5 ft^3
58.3 m^3
Step-by-step explanation:
volume of a pyramid = 1/3 x length x width x height
Perimeter of a pyramid = 4 x length
10.1 = 4 x length
length = 10.1 / 4 = 2.525
1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3
1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
f(x) = x2
g(x) = 3x2
Which option could show the graphs of f and g?
Answer:
2 Transformations
Step-by-step explanation:
A reflection in the x axis accounts for the minus sign and because there's a 3 there, it is a stretch in the y direction scale factor 3. hope this helps :)
"The product of four and a
number is more than ten."
Answer:
x>5/2
Step-by-step explanation:
4x>10
x>10/4
x>5/2