Answer:
0.3456 = 34.56%
Step-by-step explanation:
Binomial distribution
[tex]\displaystyle P(X=x)=\binom{n}{x} \cdot p^x \cdot (1-p)^{n-x}[/tex]
where:
n = number of trialsp = probability of successGiven:
p = 0.6n = 5x = 3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \displaystyle P(X=3) & =\binom{5}{3} \cdot 0.6^3 \cdot (1-0.6)^{5-3}\\ & = \dfrac{5!}{3!(5-3)!}\cdot 0.6^3 \cdot 0.4^2\\ & = 10 \cdot 0.216 \cdot 0.16\\ & =0.3456\end{aligned}[/tex]
Therefore, the probability of exactly 3 successes is 0.3456 = 34.56%
Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. In your final answer, include all of your calculations.
The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.
What is geometric sequence?
Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
[tex]a_n=a_1r^{n-1}[/tex]
Here, a₁ is the first term of the sequence and r is the common ratio.
The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,
[tex]a_4=a_1r^{4-1}\\3=a_1r^3[/tex] ...1
For the sixth term,
[tex]a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5[/tex] ....2
On solving, we get, a₁=192 and r=1/4. Thus, the geometric sequence can be given as,
[tex]a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}[/tex]
Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.
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Which equation gives the line shown on the graph?
y
y = 22 +4
10
9
8
y = 224
7
6
三一z-4
5
u
3
y= 22 + 4
N
1
O
0 1 2 3 4 5 6 7 8 9 10
Done >
Answer:
6
Step-by-step explanation:
line graph start at 5 equations
What value for c completes the square for the quadratic x2 + 12x + c?
The value for c is 36 which completes the square for the quadratic x² + 12x + c.
What is a quadratic equation?The polynomial having a degree of 2 is termed as the quadratic equation.It means that the equation will have the maximum power of 2.
Here we have the equation
=x²+12x+c
=x^2+12x+36
=x^2+6x+6x+36
=x(x+6)+6(x+6)
=(x+6)(x+6
=(x+6)²
hence value for c is 36 which completes the square for the quadratic x² + 12x + c.
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The volume of this rectangular prism is 122,264 cubic millimeters. What is the value of z? (will mark brainliest)
Answer:
z = 58 mm
Step-by-step explanation:
Volume of the rectangular prism :
Volume = length x breadth x heightSolving :
122,264 = 62 x z x 34122,264 = 2,108 x zz = 122,264/2,108z = 58 mmAnswer:
z = 58 mm
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 122,264 mm³l = 62 mmw = z mmh = 34 mmSubstitute the values above and solve for z:
122,264 = 62 × z × 34
122,264 = 2108z
122,264/2108 = 2108z/2108
58 = z
Final answer: 58 mm
Hope this helps!
3. Juan makes $9.00 per hour and works 30 hours per week. If Juan has $70 deductions, what is his
Net income?
Answer:
$200
Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income
Hi I need Help* math problem ( i will give brainlist ) Is the following graph linear, exponential or quadratic
Answer:
the answer is exponential
Step-by-step explanation:
Answer:
Hi! My guess would be exponential.
Step-by-step explanation:
stay safe, and I hope I helped I apologize if I am wrong, good luck friends
PLEASE HELP WILL MARK BRAINLIEST
8-10
Answer:
[8] Area is = to 1017.36 Circumference is = to 113.04
[9] Area is = 490.625 Circumference is = 78.5
[10] D = 16 R = 8
Step-by-step explanation:
[8]
Area is = to 1017.36
Circumference is = to 113.04
Formula:
Area = πr²
Circumference = 2πr
Solve:
A = πr²
A = 3.14(18) ²
A = 3.14(324)
A = 1017.36
C= 2πr
C = 2(3.14)(18)
C = 113.04
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Area = 490.625
Circumference is = 78.5
Formula:
Area = πr²
Circumference = 2πr
Solve:
Area = πr²
A = 3.14(12.5)²
A = 3.14(156.25)
A = 490.625
Circumference = 2πr
C = 2(3.14)(12.5)
C = 78.5
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[10]
Circle area = π * r² = π * 64 [cm²] ≈ 201.06 [cm²]
π ≈ 3.14159265 ≈ 3.14
d = r * 2 = 8 [cm] * 2 = 16 [cm]
Hence,
D = 16
R = 8
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Kavinsky
PLEASE I NEED THIS RN!!!
Answer:
Increasing then decresing
Step-by-step explanation:
the graph is going up then down so therefore it is increasing then decresing.
Answer:
The left side of the parabola is increasing to the maximum, shown on the graph to be (3,6). Then, the right side is decreasing from the max point. The parabola opens down, which means it increases, then decreases.
Step-by-step explanation:
Always decreasing would mean it took a more linear shape, which this parabola is not doing. It is also not always increasing, because some x,y points are graphed on that curve which go from the center (0,0) to (3,6) back down to (6,0).
I need help finding the value of x which is the base of a triangle.
Answer:
sqrt(13)
Step-by-step explanation:
The entire base is 4, so 1/2 of the base is 2
We can use the pythagorean theorem
a^2 = b^2 = c^2
2^2 + 3^2 = x^2
4+9 = x^2
13 = x^2
Taking the square root of each side
sqrt(13) = x
Check the picture below.
Verify each trigonometric identity
Answer:
hope it helps you.......
f(t)=t^2-3t
g(t)=2t+1
find f(g(t))
Answer:
[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]
Terry's Excavation rents bulldozers.
Terry's charges $198.45 per day plus a
$65 delivery and pickup charge. How
much would it cost to rent the bulldozer
for 5 days?
A $1,057.25
B $992.25
C $1,007.50
D $995.20
can you guys please help me on this question
Answer:
2.44 units
Explanation:
[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]
Here given:
∅ = 40°radius = 3.5Solve for AB:
[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]
[tex]\rightarrow \sf 2.4422...[/tex]
[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]
hello im having a hard time solving part b can anyone help me?
If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation
BN/BQ = AN/AB = AB/AQ
Now
AN/AB = AB/AQ ⇒ AQ = AB²/AN = 36/AN
and
BN/BQ = AN/AB ⇒ BQ = (BN • AB)/AN = 6 • BN/AN
where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.
B. If one of the data points at 15 were moved to 10, how could you change another data
point to keep the mean the same?
Answer:
Below.
Step-by-step explanation:
You have a data point 5 to the left.
So you would move another data point 5 units to the right - like for example 14 to 19.
Complete the equation describing how x
and y are related
Answer:
y = x + -5
Step-by-step explanation:
Solution
To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):
(1, -4):
-4 = 1 + b-4 - 1 = 1 + b - 1b = -5(2, -3):
-3 = 2 + b-3 - 2 = 2 + b - 2b = -5Thus, the equation is y = x + (-5).
What is the volume, in cubic meters, of a rectangular prism with a height of 14 meters, a width of 12 meters, and a length of 2 meters?
Answer:
The volume of a rectangular prism with a height of 14 m, a width of 12 m, and a length of 2 m is equal to 336 m³.
General Formulas and Concepts:
Geometry
Volume Formula [Rectangular Prism]:
[tex]\displaystyle V = lwh[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
h = 14 m
w = 12 m
l = 2 m
Step 2: Find Volume
[Volume Formula - Rectangular Prism] Substitute in variables:∴ the volume of the rectangular prism with the given dimensions is equal to 336 cm³.
___
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Topic: Geometry
an investment made in the stock market decreased at a rate of 1.2% per year for 25 years. what is the current value of the 100,000 dollar investment?
Answer:
73947.52
Step-by-step explanation:
the equation would be 100000 * (0.988)^25
since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.
The side of a square is a x-3 , Find the area of the square.
Answer:
x^2 -6x + 9
Step-by-step explanation:
(x-3) (x-3) = x^2 - 6x + 9
Calculate the missing balances in Jane's check register.
Check # Date Transaction Deposit Withdrawal Balance
341 6/11 dress shop $71 99 $279 66
342 6/15 nail salon $41 50 $
6/20 graduation money $200 00 $
Day 6/11 = $6,920
Day 6/15 = $6,505
Day 6/20 = $6,305
Calculation of missing balancesDay 6/11 Jane deposited=$7,199She withdrew $279 to buy clothes
Therefore her final balance= $6,920
Day 6/15 from her balance, she made her nails in a nail salon for $41 5.Therefore, her balance is
= $6,920 - $415
= $6,505
Day 6/20 Jane withdrew her graduation money at the prize of $200Therefore her balance is
= $6,505 - $200
= $6,305
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It's a seven grade social studies I know this is math but people aren't active in social studies All I'm trying to ask is how did the issue of slavery cause the Civil War in the election of 1860 the presidential election of 1860
Answer:
The election of 1860 established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.
Find the area of the triangle. area triangle 4
Answer:
12
Step-by-step explanation:
because when u plus 4+4+4 it's 12
Can someone give me a simple explanation on how to simplify radicals.
Answer:
Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.
Step-by-step Have explanation:
a great day
Which statements are true? select three options. p(f|c) = 0.75 p(c|f) = 0.25 p(c∩f) = 0.09 p(c∩f) = p(f∩c) p(c|f) = p(f|c)
The true statements are:
p(f|c) = 0.75p(c∩f) = 0.09 p(c|f) = p(f|c)What are the true statements?In sets notation, the symbol, ∩ means the intersection of two groups. Here, it represents the number of people who are football fans and fans of car racing. This number is 9%.
Here is the complete question:
A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fans of both professional football and car racing. Let event F be choosing a person who is a fan of professional football and let event C be choosing a person who is a fan of car racing.
Which statements are true? Select three options.
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Peter was thinking of a number. peter adds 6 to it, then doubles it and gets an answer of 48.5. what was the original numbe
Answer: The original number was 18.25 or 18 1/4
18.25 plus 6 is 24.25
24.25 times 2 is 48.5
Step-by-step explanation:
mark as brilliant answer
Answer:
18.25
Step-by-step explanation:
x = number
add 6: (x+6)
double it : 2(x+6)
result = 48.5
2 (x+6) = 48.5
x+6 = 24.25
x = 18.25
Nick has a rope that is 3 1/4 yards long. He cuts off a piece of the rope so that it is now 5/9 as long as the original rope? What is the length of his rope now?
The length of the rope remaining after Nick cut off a piece of the rope is 1 29/36 yards
How to solve fractionsTotal length of Nick's rope = 3 1/4 yardsLength remaining = 5/9 of original length
5/9 of 3 1/4
= 5/9 × 13/4
= 65/36
= 1 29/36 yards
Therefore, the length of the rope remaining after Nick ncur off a piece of the rope is 1 29/36 yards
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Giving Brainiest help me pleasee tyyy <3
Answer:
252 in^3
Step-by-step explanation:
Multiply all 12 x 7 x 3 = 84 x 3 = 252 in^3.
Hope this helps!
PLEASE HELP, I NEED THE ANSWER BEFORE 3 HOURS 1. In the fraction the 11 represents the? a. Dividend b. Divisor c. Denominator 2. In the decimal number 125.795 the 9 represents the d. Quotient e. Both B & C place.
Answer:
e. Both B & ChundredthsStep-by-step explanation:
Q1
In the fraction 5/11, 11 represents the divisor and the denominator.The correct option is eQ2
In the number 125.795, the 9 represents the hundredths placeAnswer:mbvcdhfguh
Step-by-step explanation:kvghjve5yr
The figure below is rotated 180° clockwise. What are the coordinates of the image of point A after this transformation?
Answer:
(-2, -1)
Step-by-step explanation:
The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.
If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)
Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.
If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.
Hope this helps :)
Figure D
-2
W
jures are congruent?
SA and B
SA and C
A and D
C and D
Answer:
the answer is figure A and C
