Answer:
[tex]P(X=2) = 0.1047[/tex]
Step-by-step explanation:
Represent the probability of hitting the target with H.
So:
[tex]H = \frac{1}{8}[/tex]
Represent the probability of not hitting the target with T.
So:
[tex]T = 1 - H[/tex]
[tex]T =1 - \frac{1}{8}[/tex]
[tex]T =\frac{7}{8}[/tex]
Required
Probability of exactly 2 hits in 5 tries
This probability is a binomial probability and will be calculated using:
[tex]P(X=x) = ^nC_x H^xT^{n-x}[/tex]
In this case:
[tex]x = 2[/tex] i.e 2 hits
[tex]n = 5[/tex] i.e. 5 attempts
So, we have:
[tex]P(X=2) = ^5C_2 H^2T^{5-2}[/tex]
[tex]P(X=2) = ^5C_2 H^2T^3[/tex]
Apply combination formula:
[tex]P(X=2) = \frac{5!}{(5-2)!2!} H^2T^3[/tex]
[tex]P(X=2) = \frac{5!}{3!2!} H^2T^3[/tex]
[tex]P(X=2) = \frac{5*4*3!}{3!2*1} H^2T^3[/tex]
[tex]P(X=2) = \frac{5*4}{2} H^2T^3[/tex]
[tex]P(X=2) = 10* H^2T^3[/tex]
Substitute values for H and T
[tex]P(X=2) = 10* (\frac{1}{8})^2(\frac{7}{8})^3[/tex]
[tex]P(X=2) = 10* \frac{1}{64}*\frac{343}{512}[/tex]
[tex]P(X=2) = \frac{3430}{32768}[/tex]
[tex]P(X=2) = 0.1047[/tex]
Hence, the probability of 2 hits in 5 tries is 0.1047
Graph the function.
f(x) = square root x+1
Find the cost price when,
(a) Selling price = Rs 725 and 15% gain
Step-by-step explanation:
Selling Price (SP) = Rs. 725
profit rate (P%) = 15 %
Now
Cost Price (CP)
[tex] = \frac{sp \: \times 100}{100 + p\%} \\ = \frac{725 \times 100}{100 + 15} \\ = \frac{72500}{115} \\ = rs \: 630.42[/tex]
What is the slope of the line graphed below?
Answer:
d. -3
Step-by-step explanation:
What is the slope intercept form of the linear equation x + y = 12
Do Yr selffffffffffffffff i can't do this
0.57319 kg to cg need this asap
Answer:
57319 Centigrams
Step-by-step explanation:
You would just multiple 0.57319 by 100,000.
Hope this helps! :)
Answer:
1 kilogram=100,000 centigram
0.57319 kilogram=0.57319 ×100,000= 57319 centigram
57319 centigram is the right answer.One meter of electrical cord costs 3 dollars. How much should one pay for...
2/3 meters?
37/16 rounded by the nearest hundredth.
Answer:
2.31
Step-by-step explanation:
yup thats the answer
A boy walked to the store with 3 apples. He dropped two of them. How many does he have left. PLEASE HELP
Answer:
Doesnt he still have 3? All he did was drop 2
Step-by-step explanation:
1. p(x) = 5x3 - 10x2 ...
help would be greatly appreciated also you the goat
A store sells an item for $35 after a 25% markup. What is the price the store paid?
Answer:
43.75
Step-by-step explanation:
25 divided by 100=.25
.25*35=8.75
8.75+35=43.75
The store paid a price of $28 for the item.
What is Mark up Percentage?Mark up percentage is the percentage of profit on a certain service or commodity.
We know the formula to calculate mark up percentage.
Mark up Percentage = [(Selling price - Cost) / cost] × 100
Here, given that,
Mark up percentage = 25%
Selling price = $35
We have to find the cost.
Let x be the price that the store paid for the item.
Substitute the given values in the formula for mark up percentage.
25 = [(35 - x) / x] × 100
Dividing both sides of the equation by 100,
25/100 = (35 - x) / x
0.25 = (35 - x) / x
Multiplying both sides with x,
0.25x = 35 - x
Adding both sides with x,
0.25x + x = 35
1.25x = 35
Dividing both sides by 1.25,
x = 35 / 1.25
x = 28
Hence the price of the item that the store paid is $28.
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Part 2 from my other worksheet!
Help me! I’ll mark you brainly!
Answer:
i cant even read the word there too small
Step-by-step explanation:
Use FOIL to expand and simplify:
Triangle Tiger:
A = (2x + 6)(x - 4)
= 2x^2 -8x + 6x - 24
= 2x^2 - 2x - 24 ft^2 (N)
Anthony's Computer Monitor:
A = (x - 3)(2x + 1)
= 2x^2 + x - 6x - 3
= 2x^2 - 5x - 3 in^2 (I)
Art Class:
A = (x - 4)^2
= x^2 - 8x + 16 in^2 (O)
Easel:
A = [(2x - 5)(2x + 4)] / 2
= (4x^2 + 8x - 10x - 20) / 2
= (4x^2 - 2x - 20) / 2
= 2x^2 - x - 10 in^2 (E)
Four Square:
A = (x + 2)^2
= x^2 + 4x + 4 ft^2 (A)
Please help with this pleaseee
Answer:
CED=126
Step-by-step explanation:
The total of all 3 angles should be 180
so:
180-38-16 (ABC is equal to ECD)
180-38-16=126
126=CED
Answer:
∠E= 126°
Step-by-step explanation:
the parallel lines create a transversal (the diagonal line that connects them)
this transversal rule shows us that
∠DCE=∠CBA
so ∠DCE= 38°
let's look at the triangle
∠C+∠D+∠E=180°
38+16+∠E= 180°
∠E= 126°
(9x2/3)x2/3 please help
Answer:
4
Step-by-step explanation:
=(9×2/3)×2/3
=(3×2)×2/3
=6×2/3
=2×2
=4
What is the following product? root(3, 4) * sqrt(3)
Answer:
It’s option C
Step-by-step explanation: just took the quiz on edge
Answer:
C
Step-by-step explanation:
Evaluate the sum of 9.1 and 368.8.
Answer:
377.9
Step-by-step explanation:
368.8 + 9.1 = 377.9
An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.
Answer:
ok keep going more questions cause ido t get it what u trying to ask
Anna is baking cookies.The recipe ask for 3/4 cup of flour per batch.Anna wants to bake 4 batches of cookies.She made the model below to help her find the amont of flour in cups for 4 batches of cookies
HELPPPPPPPP DUE TODAYYYY!!!!!!!!!!!!! WORTH 30 POINTS!!!!!!!!!
Answer:
4.5
Step-by-step explanation:
There is 1⁄3 gallon of water in a 3-gallon container. What fraction of the container is filled? (There’s also a picture :). )
Answer:
There is 1/3 gallon of water in a 3 gallon container. What fraction of the container is full? ONE-THIRD OF A GALLON DIVIDED BY 3 GALLONS EQUALS ONE-NINTH.
There is a tank with a capacity of 3 gallons, then the fraction of the container filled is 1/3.
What is a fraction?In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.
As per the given data provided in the question,
The total capacity of the container = is 3 gallons
The portion which is empty = 3-1/3 = 8/3
It means that 8/3 portion of the tank is empty and 1/3 portion of the tank is filled.
To know more about Fraction:
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what is the value of x
Answer:
124°.
Step-by-step explanation:
x+24°+32°=180° (sum of angles is 180°)
⟹x+56°=180°⟹ x=180°–56°=124°.
Two numbers are in the ratio of 5:6. Their sum is 77. What is the positive difference between the two numbers?
Answer:
7
Step-by-step explanation:
a:b = 5:6
∃x such that a=5x and b=6x
a+b = 77
5x+6x = 77
x = 7
a = 5x = 35
b = 6x = 42
42-35 = 7
1/4x+2=-4 how do you do this step by step?
Answer: Solution
=
−
2
4
Step-by-step explanation: Combine multiplied terms into a single fraction
1
4
+
2
=
−
4
1
4
+
2
=
−
4
Multiply by 1
1
4
+
2
=
−
4
4
+
2
=
−
4
Subtract
2
2
2
from both sides of the equation
someone please help me out
Answer:
x is 68 :)))
hope that helpsss
Based on the graph below, what is the y-intercept?
Answer:
the y intercept you are looking for is -3
A bookshelf is 42 inches long.
How many books of length 1 and 1/2 inches will fit on the bookshelf?
Answer:
33
Step-by-step explanation:
Apply the distributive property to create an equivalent expression. ( 1 − 2 g + 4 h ) ⋅ 5 =
Answer:
{(1-2g) + 4h] x 5 =
Step-by-step explanation:
Peppa's brother George spilled milk on her math
homework and all she can see are two points in her
table. The points are (3, 8) and (10, 2335.43). Peppa
still has to find the equation representing the values in
her table.
Explain to Peppa how to find the equation (y= a(b))
using her two points and write the exponential equation.
Explain and show work for every step.
Answer:
i need help with this one
Step-by-step explanation:
Jenny is shopping at Fashion Island in Newport Beach for a new winter jacket and finds one on sale for 25% off the original price. The jacket's original price is $249.99. What is the dollar amount Jenny will save with the 25% discount?
Answer:
She will save $62.50 and the new amount is 187.49 jut in case
Step-by-step explanation:
SOMEONE Help me please
Answer:
The answer should be B. The mistake the studen made was subtracting 3/4 from 1, instead of multplying 3/4 and the 12 inside the brackets
Step-by-step explanation:
SOMEONE PLEASE HELP. WILL MARK BRAINIEST!!!