find 2/3 - 8/9 how can you write the expression using a common denominator
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]
Find the sum of the parts of a given pizza.
1. 11/7. 2. 12/5
The sum of the parts 11/7 and 12/5 of pizza is 139/35.
It is given that the parts of pizza are:
[tex]1. 11/7\\2. 12/5\\[/tex]
It is required to find sum of the parts of pizza.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
Calculating the sum of the parts of pizza:
[tex]=\frac{11}{7}+\frac{12}{5}[/tex]
[tex]=\frac{139}{35}[/tex]
Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.
Learn more about the fraction here:
https://brainly.com/question/1301963
Penelope decides to reduce her math tutoring to half the amount of time she has been tutoring each month. After making this change, what will be her total amount of monthly income?
Answer: $300 per month (assumed)
Step-by-step explanation:
As figures are lacking in this question, I will use assumed figures and you can use it as a reference.
Assume Penelope had been tutoring for 60 hours a month and her hourly rate was $10 originally.
If she reduces this time to half, the amount of hours she begins to tutor is:
= 60 hours / 2
= 30 hours
At a rate of $10 an hour, her monthly income becomes:
= 10 * 30
= $300 per month
Pls solve and explain
Answer:
1684 2/3
Step-by-step explanation:
This is a right trapezoid you can break this down into a rectangular prism and a triangle find the area of those two shapes separately then add them together to get your total volume
a bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is red? Make sure to reduce your answer. 25 points if you answer help pls :/
Answer:
40% chance
Step-by-step explanation:
4 marbles out of 10 are red. 4/10= 0.4= 40%
Answer: 2/5
Step-by-step explanation: If there're 10 marbles and 4 of them are red, then the probability of it being red is 4/10.
To reduce or simplify it, you must divide both 4 and 10 by 2, leaving you with 2/5.
:)
Can someone please tell me how to find the surface area of shapes please I'm literally crying I have a quiz due in 10 minutes and I'm gonna fail please help
Answer:
No Problem
Step-by-step explanation:
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Surface area means, basically the outside of the shape, faces is a fancy way schools use to say sides, for example a cuboid, these look like rectangles but 3D, It has 6 "faces" or sides. And it also has 12 edges. With my school, they usually fill the 3D shapes with cubes to have a way to estimate the size, or they might write it on the sides like 2D shapes. Prisim means a 3D shape that has 2 faces that are the exact same, like a 2D rectangle. Which is a look-alike to the cuboid. SA=2lw+2lh+2hw might look , difficult but it means SA=surface answer, 2LW means length with, 2LH means length hight, and 2HW means hight width.
Evaluate (14 - 2) – 3: (2.3) - 22
A
0
В
2
с
20
D
22
Step-by-step explanation:
(14-2) - 3:(2.3)-22= 12- 1.3-22= -11.3
29. Consider the equation:
3(1 + px) = 12x
For what value of p does the equation have no solution?
A 3
B. 4
C. 12
D. 36
Answer:
The answer is actually B.
Step-by-step explanation:
3(1+4x)=12x
(3)(1)+(3)(4x)=12x(Distribute)
3+12x=12x
12x+3=12x
Step 2: Subtract 12x from both sides.
12x+3−12x=12x−12x
3=0
Step 3: Subtract 3 from both sides.
3−3=0−3
0=−3
(Can't be negative)
If the probability of an event happening is 0.45.
What is the probability of the event NOT happening?
A0.55
B0.50
C0.65
Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which
expression represents her new rate, in dollars per hour?
A.C+0.15
B.C+15
C.C +0.15c
D.C +15c
Answer:
C. c+0.15c
Step-by-step explanation:
Raising her rate by 15% is equivalent to adding 15% of what she charged before to the original price.
Nine out of the first twelve vehicles that entered a parking lot were cars. Based on this information, if six hundred vehicles entered the parking lot, how many vehicles could be expected to be cars.
450
375
400
350
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
9
_ = ____ = ? 600 divided by 12 is 50. so multiply 9 by 50 :)
12 . 600
verify X + y equal to y + X when:x=-8/9and y=-3/5
Given:
[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]
To verify:
[tex]x+y=y+x[/tex]
Solution:
We need to verify,
[tex]x+y=y+x[/tex]
Taking left hand side, we get
[tex]LHS=x+y[/tex]
After substituting the values, we get
[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]
[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]
[tex]LHS=\dfrac{-40-27}{45}[/tex]
[tex]LHS=\dfrac{-67}{45}[/tex]
Now,
Taking right hand side, we get
[tex]RHS=y+x[/tex]
After substituting the values, we get
[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]
[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]
[tex]RHS=\dfrac{-27-40}{45}[/tex]
[tex]RHS=\dfrac{-67}{45}[/tex]
Clearly,
[tex]LHS=RHS[/tex]
Hence verified.
plz help on this one
Answer:
I beleive is it B "The domain is the set of real numbers great then 2."
Answer:
a
Step-by-step explanation:
my aunt is a teacher she told me the answer
Determine x-intercepts and zeros of each function
Given:
The function is:
[tex]y=-(2x-4)(x-2)[/tex]
To find:
The x-intercepts and zeros of the given function.
Solution:
We have,
[tex]y=-(2x-4)(x-2)[/tex]
For x-intercepts, [tex]y=0[/tex].
[tex]-(2x-4)(x-2)=0[/tex]
[tex](2x-4)(x-2)=0[/tex]
Using zero product property, we get
[tex](2x-4)=0[/tex] and [tex](x-2)=0[/tex]
[tex]2x=4[/tex] and [tex]x=2[/tex]
[tex]x=\dfrac{4}{2}[/tex] and [tex]x=2[/tex]
[tex]x=2[/tex] and [tex]x=2[/tex]
The given function has two equal zeroes or x-intercept, i.e., [tex]x=2[/tex].
Therefore, the zeroes are 2 and 2.
Note: All options are incorrect.
A pair of jeans regularly sells for $24.00. They are on sale for 25% off. What is the sale price of the jeans.
Answer:
24 x 25/100 = 6
of means multiplication so you are multiplying the percent to the regular price. Always consider cent as a hundred and a percent out of 100 in fractions.
Answer:
18 dollars
Step-by-step explanation:
half of 24 is 12 and half of that is 6 so 24-6=18 :)
The present, past, and future of speak is _____.
speaking, spoke, will speak
speak, speaked, will speak
speak, spoken, speaking
speak, spoke, will speak
Answer:
speaking, spoke, will speak
Step-by-step explanation:
its just how english works
Answer:
speaking, spoke, will speak
Step-by-step explanation:
find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8,...
Answer:
a₁₅ = 86x - 68
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2x + 2
d = a₂ - a₁ = 8x - 3 - 2x - 2 = 6x - 5 , then
a₁₅ = 2x + 2 + 14(6x - 5)
= 2x + 2 + 84x - 70
= 86x - 68
what is a cash book
Answer:
Step-by-step explanation:
A cash book is where you keep all of receipts and disbursements and also the bank deposits and withdrawals. when that's done, entries inside of the cashbook are added to the general ledge.
find the value of given expression !!
[tex] \sqrt{23 \times 3 \: -2 } [/tex]
Answer:
sqrt(67)
Step-by-step explanation:
sqrt(23×3-2)
sqrt(69-2)
sqrt(67)
Step-by-step explanation:
√{23×3-2}=√{69-2}=√67 is your answer
-5 3/4 - 3 1/2 = A. -8 2/3 B. -9 1/4 C. -2 1/4 D. 2 1/4
Answer:
Hi! The answer to your question is B. -9 1/4
Step-by-step explanation:
☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!!
- Brooklynn Deka
Answer:
-9 1/4
Step-by-step explanation:
-23/4 -3 1/2
-23/4 -7/2
-23/4-7/2x2/2
-23/4-7x2/4
-23-7x2/4
-37/4=-9 1/4
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Area of the plot= 24*12= 288
Area of smaller section= 20*8=160
For Brick Path= 288-160= 128
Hope it helps you.
Solve for x NEED HELP
Answer:
about 16.571
...............
The price of a CD player was reduced from $80 to $52. What was the percent decrease in the price of the CD player? © 28% 0 35% 54% a 65%
Answer:
35%
Step-by-step explanation:
Given data
Initial price= $80
Final price= $52
% decrease= initial-final/initial*100
% decrease= 80-52/80*100
% decrease= 28/80*100
% decrease=0.35*100
= 35%
Hence the decrease is 35%
Please answer correctly! I will mark you as Brainleist!
Answer:
a
Step-by-step explanation:
Answer:
The answer is 4 cm
Step-by-step explanation:
Volume of the triangular prism = 544 m³
height of the prism (h) = 17 m
Also
Volume of the prism = Area of base * height
544 = Area of base * 17
Area of base = 544 / 17
Area of base = 32 m²
Now
Base of the triangle (b) = 16 m
Area of the triangle = 32 m³
height (h) = ?
We know
Area of triangle = 1/2 * b * h
32 = 1/2 * 16 * height
32 * 2 / 16 = height
height of the triangle = 4 m
Hope it will help :)❤
16ef³÷8e²f=
24m²n³
_____=
2mn
2k³+k
_____=
4k
Answer:
Answer is below
Step-by-step explanation:
16ef³÷8e²f=[tex]\frac{2f^{2}}{e}[/tex]
[tex]\frac{24m^{2} n^{3} }{2mn} = 12m n^{2}[/tex]
[tex]\frac{2k^{3} +k}{4k} =\frac{1}{2} k^{2} +\frac{1}{4}[/tex]
Ill give brainliest if answered correctly!
y x 6 = y for 2/3
Answer:
4
Step-by-step explanation:
Which statement best describes the product of 4/5 x 10?
Answer:
Step-by-step explanation:
4/5 x 10/1= 40/5
40 divided by 5 equals 8
The answer is 8
PLEASE HELPPPPP ASAP Which is an absolute value function g(2) that represents both horizontal and vertical transformations of the parent function f(x) = |x|?
A. g(x) = 3|x|+ 10
B. g(x) = – 5|x - 7|
C. g(x) = |x+3| + 4
D. g(x) = 2| x- 44|
Answer:
C
Step-by-step explanation:
This graph goes 3 to the left and 4 up. The only one with horizontal and vertical transformations.
HELP PLEASE AND ASAP!!!!! look at screenshot (10 pts)
Answer:
0
Step-by-step explanation:
Using PEMDAS you complete the operation. Hope it helps :)