Answer:
0.904
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.905 = 90.5% probability of getting at most 2 twos.
For each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The die is rolled 7 times, hence [tex]n = 7[/tex].One out of the 6 sides is a 2, hence [tex]p = \frac{1}{6} = 0.1667[/tex]The probability is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.1667)^{0}.(0.8333)^{7} = 0.279[/tex]
[tex]P(X = 1) = C_{7,1}.(0.1667)^{1}.(0.8333)^{6} = 0.391[/tex]
[tex]P(X = 2) = C_{7,2}.(0.1667)^{2}.(0.8333)^{5} = 0.235[/tex]
Then:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.279 + 0.391 + 0.235 = 0.905[/tex]
0.905 = 90.5% probability of getting at most 2 twos.
A similar problem is given at https://brainly.com/question/24863377
Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (-3,-1) Slope: 0
Answer:
Y=-1
Step-by-step explanation:
The slope of line is zero
can you guys please help me quick !
Answer:
31
Step-by-step explanation:
58 - 27 = 31
Phyllis invested $13,000, a portion earning a simple interest rate of 5¼% per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $672.50. How much money did she invest at each rate?
Answer:
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
Step-by-step explanation:
Formula for the simple interest is,
Interest = [tex]\frac{P\times r\times t}{100}[/tex]
Here, P = Principal amount
r = rate of interest
t = Duration of investment
Let Phyllis invested amount (at 5.25% rate of interest) = $x
Therefore, Interest on this amount,
Interest = [tex]\frac{5.25\times x}{100}[/tex]
= $0.0525x
If he invested the rest amount $(13000 - x) at the rate of 5%,
Interest earned on this amount = [tex]\frac{(13000-x)\times 5\times 1}{100}[/tex]
= $(650 - 0.05x)
Interest earned on total amount = $672
Therefore, $0.0525x + $(650 - 0.05x) = $672.5
0.0025x + 650 = 672.5
0.0025x = 22.5
x = $9000
Rest amount = 13000 - 9000
= $4000
Phyllis invested $9000 at the rate of 5.25% and $4000 at the rate of 5%.
n= 3.7. 12.8 + 6(n - 0.5)
Answer:
im assuming its 6n+9.8 given that this has no context
Step-by-step explanation:
What does a=? b=? Angle B=?
Answer:
If you were solving the right triangle, it would be:
m∠A = 46°
m∠B = 44°
m∠C = 90°
AB = 32
BC ≈ 23
AC ≈ 24
Step-by-step explanation:
To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:
m∠A = 46° (given)
m∠B = x
m∠C = 90° (given)
180 - (46 + 90) = x
180 - 136 = x
44 = x
m∠B = 44°
To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.
Recall that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
So:
sin46 = BC/32
BC = 32 (sin46)
BC ≈ 23
tan46 = BC/AC
AC = BC/tan46
AC = (23.01887361...) (tan46)
AC ≈ 24
Given a term in an arithmetic sequence and
the common difference find the 100th term.
a14= 102
d = 10
Please help, i’m struggling.
Answer:
100th term = 962
Step-by-step explanation:
You need to find the first term of the sequence
The formula to use is
[tex]a_{n} = a_{1} + (n - 1)d[/tex] In your problem, n = 14. So,
[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]
Now you can find the 100th term. n = 100, first term = -28 and d = 10
[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]
100th term = 962
i need help please and thanks
Answer:
the answer is associative
Step-by-step explanation:
I need help with solving this math problem please I will give brainliest to whoever gets it correct!!!!
Answer:
6^2+8^2=10^2
5^2+x^2=6^2
Step-by-step explanation:
PLEASEEEE HELP!!!☹️☹️ i will mark brainliest
3. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a
distance of 900 kilometers?
factor 4a^2-b^2-2a+b
Answer:Equation at the end of step 1
STEP
2
:
4a2 - b2
Simplify ————————
2a - b
Trying to factor as a Difference of Squares:
2.1 Factoring: 4a2 - b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + b) • (2a - b)
Canceling Out :
2.2 Cancel out (2a - b) which appears on both sides of the fraction line.
Final result :
2a + b
Step-by-step explanation:
Select all of the choices that are equal to (-5) - (-12)
-7
7
(-5)+12
(-5)+(-12)
Answer:
the awnser is. (-5) + (-12)
Answer: 7, -5+12
Step-by-step explanation:
Minus a negative is just like adding so -5 -( -12) would be the same as -5+12 which is 7
The sum of b and 3
Please this really important
Answer:
The answer to the question is b+3 (if you need an equation)
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answer: Answer is 9
Step-by-step explanation:
Answer:
the answer to this question is C. 9
Step-by-step explanation:
can someone please answer this math problem for me, please answer all of them if you can
Answer:
Q5
∠3 = ∠4
Q6.
∠S + ∠T = 90°
Q7.
∠X + ∠Y = 180°
Q8.
∠1 = ∠4
Q9.
∠K = ∠L
Answer:
Q5
∠3 = ∠4
Q6.
∠S + ∠T = 90°
Q7.
∠X + ∠Y = 180°
Q8.
∠1 = ∠4
Q9.
∠K = ∠L
Step-by-step explanation:
Please help me with this Trigonometry question thank you
Find the area of the triangle, show work and hurry
Answer:
Area=[tex]\frac{13(6)}{2}[/tex]
=[tex]\frac{78}{2}[/tex]
=39
Step-by-step explanation:
Answer:
39 ft
Step-by-step explanation:
use the formula for the area of the triangle (base*height)/2
(13*6)/2=78/2= 39 ft
PLS HELP I HAVE TO DO THIS BY TONIGHTT
Alicia planted 45 tulip bulbs last year. This year she plans to plant 27 bulbs. Find the percent decrease in thenumber of tulip bulbs.
I got you !
Step-by-step explanation:
45 bulbs planted in first year.
65 bulbs the next year.
increase = 20 bulbs
Number of increase of planted tulip bulb is N = 65 - 45 = 20
( 20/45) x 100% = 44.4 % to the nearest tenths
How to find the area of a parallelogram with 3 numbers?
14.8 square feet is the area of the given parallelogram.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
The area of a parallelogram is given by the formula:
Area = base x height
where the base is the distance between two parallel sides of the parallelogram.
In this case, the height is given as 2 feet, but we need to find the base.
Since the parallelogram has two pairs of parallel sides, we can use the width of 7.4 feet as the base.
Therefore, the area of the parallelogram can be calculated as:
Area = base x height = 7.4 ft x 2 ft = 14.8 square feet
So, the area of the parallelogram is 14.8 square feet.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ2
Complete question:
What is the sum of 25% of 2018 and 2018% of 25?
Answer:
1009
Step-by-step explanation:
0,25 x 2018 = 504,5
20,18 x 25 = 504,5
504,5 + 504,5 = 1009
Answer:
1,009
Step-by-step explanation:
[tex] \frac{25}{100} \times 2018 = 504.5[/tex]
[tex] \frac{2018}{100} \times 25 = 504.5[/tex]
[tex]504.5 + 504.5 = 1009[/tex]
hope it helps you ☺️
Solve the equation: sin x = 7/11. Round your answer to the nearest tenth.
Answer:
I'm about 99.9% sure you need to know what theta is (x) so you can solve this
Step-by-step explanation:
Either that or the answer would be 0.7
Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $8.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable to represent the number of hours.
Answer:
8.8 hours
Step-by-step explanation:
Happy Paws y=4.5x+19
Woof Watchers y=5.75x+8
4.5(8.8)+19
$58.6
5.75(8.8)+8
$58.6
There are 24 students in Ms. Woodall's class. 1/2 of the students are boys. 1/3 of the boys have brown hair. what is the number of the boys in Ms. Woodall's class who have brown hair?
Answer:
the answer is 4
Step-by-step explanation:
1/2 of 24= 12
1/3 of 12=4
hope this helps
which of the following is the best estimate for 487 divided by 67
Answer: 7.26
Step-by-step explanation:
calculator
-4h - 2 = -6h - 8 i need all the steps pls!!
Answer:
h=-3
Step-by-step explanation:
-4h-2=-6h-8
+6h +6h
2h-2=-8
+2 +2
2h=-6
h=-3
Evaluate a + (-6) where a =
4 and b= 2.
Answer:
-2
Step-by-step explanation:
a + (-6), a = 4
(4) + (-6)
4 - 6
= -2
A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?
Answer:
the answer is (x,y) (1/4 -13/4)
4.
-4 + 5n = 18 + 3n
a. -12
b. -11
C.
1.5
d. 11
Answer:
d
Step-by-step explanation:
-4+5n=18+3n
step 1 add 4 to each side
5n=22+3n
step 2 subtract each side by 3n
2n=22
step 3 divide each side by 2
n=11
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
WILL AWARD 20 BRAINLY POINTS!