The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.' a) What are the mean and standard deviation of the number of universal donors among the 6 people? b) What is the probability that there are exactly three universal donors?
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]
Please help me with this
Answer:
Its B
Step-by-step explanation:
What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3
Answer:
H) -6/13
Step-by-step explanation:
To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:
[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]
So, Option H is correct.
There are 10 girls and 5 boys in Ms. Sander's class. Each day, she randomly asks one student to take attendance. In 180 school days, which is the best prediction for the number of times that the student will be a girl?
Answer:
120
Step-by-step explanation:
The probability of a girl being picked one day = 10/15 = 2/3
Total number of days = 180
Therefore, the nunber of times it will be a girl = 2/3 x 180 = 2 x 60 = 120
Hope this helps
Find the area of this parallelogram. Be sure to include the correct unit in your answer. 8 in, 15 in, and 6 in
Answer:
90 in²
Step-by-step explanation:
The diagram isn't attached :
However, taking the base of the parallelogram, b as 15 in
The height as 6 in
And the Slant height as 8 in
The Area of a parallelogram is given as :
Area, A = Base, b multiplied by height, h
A = b * h
Hence, Area of the above parallelogram is:
A = 15 in * 6 in
A = 90 in²
Some one help this equation 7 x (3+2) =
Answer:
35
Step-by-step explanation:
3 + 2 = 5
7 times 5 = 35
Triangle PRT - status, TS - its higher. Based on the data in the drawing, calculate the length of the altitude drawn from the vertex R to the extreme PT.
Answer:
16 cm
Step-by-step explanation:
We're to find the length of RT.
Apply the leg rule which is given as,
Hypotenuse/leg = leg/part
Hypotenuse = PR = 7.2 + 12.8 = 20 cm
Leg = RT
Part = 12.8 cm
Plug in the values
20/RT = RT/12.8
Cross multiply
RT*RT = 20*12.8
RT² = 256
RT = √256
RT = 16 cm
Search up:CNN 10 April 9th 2021
Watch the video give me 10 facts
Side note: Please don’t waste my time I have stuff to do
Answer:
Jeff Bezos, is Amazon's founder, who's one of the richest people in the world.
The federal government won't require everyone to get vaccinated.
The federal government also won't required everyone in america to carry a passport.
New York recently because the first state to have a cov id passport.
Florida banned the co vid passport.
Restraunt owners think its against peoples rights to have a co vid passport, so they won't need them there!
Theatres are requiring a passport for the vaccine, due to wanting to fill the audience.
Heinz makes more ketchup than anyone
12 billions ketchup packets will be made this year from h einz, which is enough to reach the moon and back.
astronauts had a lot of ketchup in space
1 hundred and forty miles per hour is reached on the fasted roller coaster according to genius world records.
Step-by-step explanation:
Hope this helps! Plz mark as brainliest!
Draw and label an example of
two parallel lines that are perpendicular to a
third line.
Answer: Pretty sure it would look like this
Step-by-step explanation:
I need help my mind don’t proses right.! f(x) = x2. What is g(x)?
Answer:
hey will you join in zo om if your intrested
PLEASE HELPPPPPP URGENT
Answer:
B
Step-by-step explanation:
CD matches with ST on the shapes.
Multiply polynomials
Step-by-step explanation:
[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]
hope it helps
[tex] \huge \frak \green{question}[/tex]
Multiply the polynomials :-
x² ( 5x³ - 2x³ + 15)
[tex] \huge \frak \green{solution}[/tex]
→ x² ( 5x³ - 2x³ + 15)
→ x² × (3x³ + 15)
→ 3x² + 15x²
This can be further solved as :-
→ 3x² + 15x²
→ 18x²
[tex] \huge \frak \red{answer}[/tex]
18x²
rename the mixed number as an improper faction
a. 3/5
b. 12/5
c. 2/6
d 7/5
Answer:
no
Step-by-step explanation:
NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >
Answer:
y < 4/3x - 2
Step-by-step explanation:
Another way to find slope is to subtract [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.
We subtract the y-value 2 from -6.
2 - - 6 can also be taken as 2 + 6.
2 + 6 = 8.
Then, subtract the x-values.
Subtract 3 - -3, or 3 +3.
3 + 3 = 6.
Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].
Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)
The shading is on the left side and the line is dotted, so our sign is <.
The inequality is y < 4/3x -2.
What's the answer to this?
Answer:
9
Step-by-step explanation:
We can see that 6 is 2 more than 3, and so the difference is -3^2, 9.
We can check this by seeing that -3^6 is -729 and -3^4 is -81.
We have
-729 / -81 = 9.
Answer: 9
Step-by-step explanation:
1/3(6z+7.2)=0.5(8z+2)-0.4
A z=0.8
B z=0.9
C z=2.8
D z=3.6
please help
Answer:
B z = 0.9
Step-by-step explanation:
1/3(6z + 7.2) = 0.5(8z + 2) - 0.4
Multiply both sides by 6.
12z + 14.4 = 24z + 6 - 2.4
-12z = -10.8
z = 0.9
Luke has a board 5
6
of a yard long. He needs to cut the board into 5 equal sections.
Use the expression
to find the length of each section.
Each section is
yard long.
Answer:
1/6 of a yard
Step-by-step explanation:
Length of the board = 5/6 yard
He needs to cut the board into 5 equal sections.
Length of each section = length of the board ÷ number of sections
= 5/6 ÷ 5
= 5/6 × 1/5
= (5*1)/(6*5)
= 5/30
= 1/6
Length of each section = 1/6 of a yard
What is the similarity?
Answer:
The similarity ratio is 2 to 1
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Now, let us use the angle markings
We have it that;
RP/QR = VW/VX
4/8 = 1/2
1/2 = 1/2
Voltage (V), varies directly with resistance (R) in a circuit. If the voltage is 150 volts when the resistance is 480 ohms, find the voltage when the resistance is 200 ohms.
Pov your just scrolling and seeing all these hard problems that your brain cant do.
Answer:
LOL this is just facts
Answer:
lol so true
Step-by-step explanation:
What is 1+1=
I will give brainlist
Answer:
5
Step-by-step explanation:
solve the equation to find the value of x:
2x=5
a pizza has a radius of 2.5 feet what is the circumference of the pizza
Find the area. Round to the nearest tenth.
Answer:
40m^2
Step-by-step explanation:
Hope it helps!!:)
Please don't give me a FILE
PLEASE HELPPP ILL GIVE 15 POINTS AND BRAINLIST
Answer:
3/2
Step-by-step explanation:
My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.
Therefore 6=2y+3
2y=6-3
2y=3
y=1.5 or 1and a half which is equivalent to 3/2
What is the area of KDL to the nearest tenth of a square inch? Use special right triangles to help find the height. Show
your work
Answer:
8
Step-by-step explanation:
This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)
We will let x equal the length of one of the sides
we have
x²+x²=(4√2)²
2x²=32
x²=16
x=4
this means that the length of the two missing sides are 4
Now using the area of a traingle formula we can solve for the area
A=.5*b*h
.5*4*4=8
.5*4*4
8. Each week, Mrs. Stafford picks a runner from her homeroom to run errands. In
order to remain unbiased in her selection, she flips a coin to determine if the
runner will be a boy or a girl. She assigns heads to girls and tails to boys.
Based on this procedure, what is the probability of selecting a boy? *
Answer:
That's alot of words, kinda hard to understand
PLEASE I NEED HELP FAST! Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not
Answer:
ummm there is no picture showing for me
Step-by-step explanation:
Determine whether 2^4m/16 is equivalent to each of the following expressions
I don't want no person saying, HERE's the link for the answer
Answer:
2^4m-4 is Equivalent
16^m-1 is Equivalent
4^2m-2 is Equivalent
Step-by-step explanation:
If you do correctly I will mark you Brainliest!
Answer:
66m
Step-by-step explanation:
9+3+16+3+5+12+10+s
the s would 8 because
12+5 is 17
17-9 would be 8 so we would add 8.
9+3+16+3+5+12+10+8
Answer:
66 m
Step-by-step explanation:
We know that Perimeter is sum of all the sides of any triangle / quadrilateral / polygon . Here we see that that the side lenght are ,
8cm , 10cm , 12cm , 3m , 5m , 16m ,9m , 3cm .
On adding these , we will get Perimeter .
⇒ P = 8cm + 10cm + 12cm + 3m + 5m + 16m + 9m + 3m
⇒ P = 66m
Hence the required answer is 66m