Answer:
[tex]Mean = 0.36[/tex]
[tex]SD = 0.5817[/tex]
[tex]P(x=3) = 0.003588[/tex]
Step-by-step explanation:
Given
Let
A = Event of being a universal donor.
So:
[tex]P(A) = 0.06[/tex]
[tex]n = 6[/tex]
Solving (a): Mean and Standard deviation.
The mean is:
[tex]Mean = np[/tex]
[tex]Mean = 6 * 0.06[/tex]
[tex]Mean = 0.36[/tex]
The standard deviation is:
[tex]SD = \sqrt{np(1-p)}[/tex]
[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]
[tex]SD = \sqrt{0.3384}[/tex]
[tex]SD = 0.5817[/tex]
Solving (b): P(x = 3)
The event is a binomial event an dthe probability is calculated as:
[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]
So, we have:
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]
[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]
[tex]P(x=3) = 0.003588[/tex]
A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:
Answer:
73.12 ft²
Step-by-step explanation:
area = (8 x 6) + [(1/2)(3.14)(4²)] = 73.12 ft²
a 15 foot ladder leans against a wall and makes an angle of 65 degrees with the ground. what is the horizontal distance from the wall to the base of the ladder o the nearest tenth of a foot
Answer: 6.3
Step-by-step explanation:
Can you please help me
Step-by-step explanation:
there is the answers for this one
PLEASE ANSWER THIS!!
Answer:
161ft^2 is answer
Step-by-step explanation:
area of rectangle = l ×b
=7ft ×23ft
=161ft^2
please help!!
thank you !!
Remember, triangles add up to 180 degrees.
180-(96+67)=17.
A is 17 degrees.
Hope this helped!
What percent of 48 is 12?
Answer:
5.76
Step-by-step explanation:
What is 12 percent (calculated percentage %) of number 48? Answer: 5.76.
Welcome for the answer. This answer is for good intentions only please don't report unless necessary. Have a great rest of your day!HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
A map is placed on a coordinate grid. on the map, city 1 is located at (35,78) and city 2 is located at the point (47,122). If each unit is equivalent to 1 mile, how far apart are the cities?
A. (82,100)
B. (41,100)
C. (6,22)
D. (12,44)
Answer:
D
Step-by-step explanation:
Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.
To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.
Keep in mind that these points are only roughly placed on the map.
But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.
To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.
47 - 35 = 12
To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.
122 - 78 = 44
I assume that the answer you should pick is D. (12, 44)
However, that doesn't exactly answer the question... it's worded a little weirdly.
To solve the rest of the equation, do the following:
Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.
a^2 + b^2 = c^2
12^2 + 44^2 = c^2
144 + 1936 = c^2
2080 = c^2
c = [tex]\sqrt{2080}[/tex]
c = 45.61
The answer is 45.61 units.
A park has a large pond and a small pond as shown.
large pond
small pond
• Each pond is in the shape of a circle.
• The radius of the large pond is 4 times the radius of the small pond.
Based on this information, which of the following statements is TRUE?
O A The area of the large pond is 16 times the area of the small pond.
OB. The area of the large pond is 4 times the area of the small pond.
C. The area of the large pond is 2 times the area of the small pond.
Type here to search
O
RI
Answer:
A The area of the large pond is 16 times the area of the small pond.
Step-by-step explanation:
Small pond for theradius to
statements.
In this case
•- A : 41T -7 you can I'm using 2.
✓
Large Pond '
A- = ITCH.
2)Z pi . (t)
"
a- it 82 530 Divide
A = 64 IT we are looking
for " how many
times
larger.
"
Brody just got hired for a new job and will make \$37,000$37,000 in his first year. Brody was told that he can expect to get raises of \$2,000$2,000 every year going forward. How much money in salary would Brody make in his 29th year working at this job?
Answer:
93000
Step-by-step explanation:
a29 = 93000
The value of the computer decreases 7% every month. What is the
multiplier?
a) 7
b) 1.07
c) 0.93
d) 0.7
Nana has 3/6 of a cherry pie left. If she gives her six grandchildren an equal piece, how much will each child get?
Which graph represent it Y=-2x+1 y=-2x^+1
Answer:
theres no graph my dude. consider re-uploading your question
A number x, rounded to 2 decimal places is 7.42 write down the error interval for x
Answer:
7.415 ≤ x < 7.425
Step-by-step explanation:
The number x was rounded to 2 decimal places to give 7.42.
Since rounded off to 2 decimal places, the error interval for x is half of 0.01 subtracted from and added to 7.42.
Thus;
7.42 ± (0.01/2)
(7.42 - 0.005),(7.42 + 0.005)
7.415, 7.425
Now, 7.425 will not be included in the internal because approximating it doesn't give 7.42.
Thus,the error interval is;
7.415 ≤ x < 7.425
A wooden cabinet is in the shape of a rectangular prism. Its base area and height are 10/12m2 and 2/3m, respectively. What volume does the cabinet occupy? A. 5/9m3 B. 1 4/5m3 C. 4/5m3 D. 1/3m3
Answer:
A
Step-by-step explanation:
yan po ang sagot ko sana po makatulong
what fraction is equivalent to 6/10 and has a denominator of 100
Answer:
The correct answer is 60/100.
Step-by-step explanation:
6 x 10 is 60 so all you have to do is add 100 as the denominator so that's why I got 60/100 Thank you!
A fraction is a way to describe a part of a whole. The fraction is equivalent to 6/10 and has a denominator of 100 is 6/10.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The fraction is equivalent to 6/10 and has a denominator of 100 will be,
6/10
Multiply both the numerator and the denominator by 10.
= 6/10 × 10/10
= 60/100
Hence, The fraction is equivalent to 6/10 and has a denominator of 100 is 6/10.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ2
Please answer the five math questions. No links
Answer:
1. sin and cos 2. complementary 3. sinA = cosB 4. 80° 5. 17
Step-by-step explanation:
1. cofunctions: having the same value at complementary angles
sin θ = cos (90 - θ), or cos θ = sin(90 - θ)
2. complementary: two angles sum to 90°, supplementary: two angles sum to 180°
one of the angle in a right triangle must be a right angle = 90°
180°(sum of angles of a triangle) - 90° = 90°(the sum of the other two angles) => which is complementary
3. sinA = cosB
4. cos θ = sin(90 - θ)
=> cos 10° = sin(90 - 10°)
=> cos 10° = sin(80°)
5. sin θ = cos (90 - θ)
=> sin 73° = cos (90 - 73°)
=> sin 73° = cos (17°)
HELP ME FASTTTTTTT !!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
50 degrees ( Vertically opposite)
Hope it helps
Step-by-step explanation:
PLZ HELP!!!
What is 9 + 10?
Answer:
21.
Step-by-step explanation:
M a t h .
How do you solve this ?
Ruth uses healthy credit to finance $2,200 for a hearing aid how much would she have to pay each month to pay back the loan in exactly 1 year
Answer:
$183.3
Step-by-step explanation:
Ruth uses healthy credit to finance $2,200 for a hearing aid how much would she have to pay each month to pay back the loan in exactly 1 year
Ruth took a loan of $2,200
1 year = 12 months
Hence, the amount she would be paying monthly is calculated as:
$2,200/12 months
= $2,200/12
= $183.33333333
Approximately = $183.3
Therefore, Ruth would be paying $183.3 monthly.
Help me pls TwT I am terrible at math
Answer:
It should be B:)
Step-by-step explanation:
rene completed a 10 mile run in 1 hour and 20 minutes. Which calculation would give her average speed (mph)
Answer:
7.5 mph
Step-by-step explanation:
Given :
Distance traveled in miles = 10 miles
Time taken = 1 hour 20 minutes
In other to express average speed on terms of miles per hour :
Time in hour = 80 / 60 = 1.333333 hours
Average speed = Distance traveled / time taken
Distance = 10 miles / 1.33333 hours
Distance = 7.5 miles per hour
4. White Mountain National Forest covers more than 780,000 acres. One-seventh of the forest is reserved as
wilderness. Approximately how many acres are in the wilderness area?
A. 400,000
B. 320,000
C. 260,000
D. 110,000
Answer:
D.
Step-by-step explanation:
If you trying to find 1/7 of a number, divide by 7.
780,000/7 = 111428
It says approximately so it won't be the exact answer
Help me please! Write the measure of angles a, b, c, d, e, f, and g for the figure below.
I need help and answers. NO LINKS PLEASE! Thank you! I'll give 10 points and brainliest.
Answer:
a=55
b=55
c=125
d=125
e=55
f=55
g=125
Step-by-step explanation:
Answer:
∠a = 55°, ∠b = 55°, ∠c = 125°, ∠d = 125°, ∠e = 55°, ∠f = 55°, ∠g = 125°
Step-by-step explanation:
straight lines form 180°:
125° + ∠a = 180°
=> ∠a = 55°
verticle angles are congruent:
∠c = 125°
∠b ≅ ∠a => ∠b = 55°
When two line are parallel:
same side interior angles are congruent:
∠g ≅ ∠c => ∠g = 125°
∠e ≅ ∠a => ∠e = 55°
∠d = 125°
∠ f ≅ ∠b => ∠f = 55°
please help me with this!
NO BOTS!
Answer:
10x+100
Step-by-step explanation:
(x+10)10
(x)(10)+(10)(10)
10x+100
Answer:
21 :)
Step-by-step explanation:
BECAUSE IT IS 21 OK ;)
determine the equation that is represented by the table below. x 3 4 5 6 y -3 0 3 6 can some one answer please
A casserole recipe calls for 8 ounces of cheese. Adrian wants to use 1/2 of the amount of cheese in his casseroles.
How many pounds of cheese does he need to make 22 casseroles with his revised recipe?
Answer:
88 Ounces
Step-by-step explanation:
1/2 of 8 is 4. 22 times 4 is 88.
The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby.
Answer:
The total number of fish caught was 42
Step-by-step explanation:
The Munn Sugar Processing Plant is able to process 10 tons of sugar
per month. Assuming that this process stays steady, is this example
linear or exponential?
Answer:
Its Linear
Step-by-step explanation:
Linear!
Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Answer:
Each piece of cloth is (1/12) of a yard long.
Step-by-step explanation:
Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.
To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.
This is:
length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]
This means that the length of each piece of cloth is (1/12) of a yard long.
Answer:
1/12 trust,
because yes. >3
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