Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?
Answer:
y = 3/4x + 7
Step-by-step explanation:
8x + 6y = 12
6y = -8x + 12
y = -4/3x + 2
Perpendicular slope: 3/4
y - y1 = m(x - x1)
y + 2 = 3/4(x + 12)
y + 2 = 3/4x + 9
y = 3/4x + 7
I will mark you brainalist
Answer:
1.25 since all prices are sam e
Step-by-step explanation:
I need help please.
Answer:
[tex] {120m}^{3} [/tex]
Remember to find the volume it is the
length x height x breadth
There are 4 blood types, and not all are equally likely to be in blood banks. 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A person with type A blood can safely receive blood transfusions of type O and type A blood. If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood? 0.0138 0.4390 0.5610 0.9862
Answer:
0.9862.
Step-by-step explanation:
For each donation, there are only two possible outcomes. Either it can be safely used in a blood transfusion on someone with type A blood, or it cannot. The probability of a donation being safely used is independent of other donations, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Type A blood:
Can receive from type O(49%) and from type A(27%), which means that:
[tex]p = 0.49 + 0.27 = 0.76[/tex]
If three donations are made, what is the probability that at least 1 of them can be safely used in a blood transfusion on someone with type A blood?
Three donations mean that [tex]n = 3[/tex]
This probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.76)^{0}.(0.24)^{3} = 0.0138[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0138 = 0.9862[/tex]
The answer is 0.9862.
The probability that at least 1 of them can be safely used in a blood is 0.9862.
Since, A person with type A blood can safely receive blood transfusions of type O and type A blood.
Given that,
49% of donations are type O blood
27% of donations are type A blood
So, [tex]p=0.49+0.27=0.76[/tex] and [tex]q=1-0.76=0.24[/tex]
Where p represent probability of success and q represent probability of unsuccessful.
Now use Binomial distribution,
[tex]P(X=r)=n_{C}_rp^{r} q^{n-r}[/tex]
Here three donations, it means that, n = 3
We have to find that the probability that at least 1 of them can be safely used in a blood.
So, [tex]P(X\geq 1)=1-P(X=0)[/tex]
[tex]P(X=0)=3_{C}_0(0.76)^{0} (0.24)^{3}=0.0138[/tex]
[tex]P(X\geq 1)=1-0.0138=0.9862[/tex]
Thus, The probability that at least 1 of them can be safely used in a blood is 0.9862.
Learn more about Binomial distribution here:
https://brainly.com/question/11388449
A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.
Answer:
That would be 19! / 10!, which is 33522128640
If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.
What is permutations?It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.
How to calculate ways?We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!
=19!/10!
=19*18*17*16*15*14*13*12*11*10!/10!
=19*18*17*16*15*14*13*12*11
=335322128640 CD's
Hence 335322128640 CD's can be made from 19 songs by the user.
Learn more about permutations at https://brainly.com/question/1216161
#SPJ2
Write 66,610 in scientific notation.
m_VSR =
Help meeeeeeeee
Answer:
80 degrees
Step-by-step explanation:
2x+y=5 y=x−1 system of equations please show your work
sub y = x - 1 into equation 1
2x + x - 1 = 5
3x = 6
x = 2
sub x = 2 into equation 2
y = 2 - 1
y = 1
You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.
Answer:
x+12
Step-by-step explanation:
I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks
REVIEW SECTION
7. Which of the following statements is not true if A JKL = A MNO?
A. Z) = 2M
C. ZN= 2K
B. ZL220
D. LLUN
i think its ZN=2K
im not sure so please recheck it with someone else
A square pyramid is shown below.
Which shapes could be formed by slicing the square pyramid by a plane? Select all that apply.
A. circle
B. triangle
C. rectangle
D. trapezoid
E. square
Answer:
B and e
Step-by-step explanation:
The shape is a square.
What is a Square Pyramid?'A square pyramid is a three-dimensional geometric shape having a square base and four triangular faces/sides that meet at a single point (called vertex) is called a square pyramid.'
According to the given problem,
If a square pyramid is cut along the plane, then the cross-section of the solid is square. Because it is a square pyramid.
Hence, we concluded that square could be formed by slicing the square pyramid by a plane.
Learn more about square pyramid here: https://brainly.com/question/27350043
#SPJ2
this dot plot is symmetric, and the data set has no extreme values
Answer:
Where is the plot?
Step-by-step explanation:
Daniel invests $10,000 in a savings account that pays 1.5% simple interest. How much will be in the
account after 5 years if Daniel makes no withdrawals or deposits to the account?
Find the value of x in the circle.
Answer:
34
Step-by-step explanation:
What is 4 x 1/3 I don’t understand because I was using an old method to do this and it isn’t working plz help
Answer:
4/3 hope this helps
Please help me quick
Answer: 20 inches
Step-by-step explanation:
using pythagorean theorem according to which hypotebous ^2=altitude ^2+base^2
c^2=a^2+b^2
c^=(12)^2+(16)^2
c^2=144+256
c^2=400
c=20
A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building will the ladder reach?
Answer:
27.55ft
Step-by-step explanation:
28²-5²=x
784-25=759
square root of 759=27.55
7(5+2c)+3c I need help
Answer:
35 + 17c I hope this helps!! Plz give brainliest!!!
Step-by-step explanation:
7(5+2c)+3c
35+14c+3c
35+17c
3x^2 -12x +11=0
How to complete the square
Answer:
Tiger shows you, step by step, how to solve YOUR Quadratic Equations 3x^2-x-11=0 by Completing the Square, Quadratic formula or, ...
(9z+7) whats the value of z
Answer:
-0.78
Step-by-step explanation:
9z+7
9z = -7
z = -7÷9
z = -0.78
Find the measure of 61.
{
839
41
{ K
41 = [?]
Enter
Answer:
m<1 = 97°
Step-by-step explanation:
<1 and 83° are same-side interior angles. Same-side interior angles are supplementary. This implies that:
m<1 + 83° = 180°
Therefore:
m<1 + 83° - 83° = 180° - 83° (subtraction property of equality)
m<1 = 97°
Answer:
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
many teams?
Ms. Z has 75 students in her
gym class. She wants to
make teams of 15 students.
How many teams will she
have?
7
aker notes
Answer:
75 divided by 15 is 7
Step-by-step explanation:
Question 1 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Elmhurst has 80,000 people, how many people live in Jackson Heights?
Question 2 ) The population of Jackson Heights is 125% of the population of Elmhurst. If Jackson Heights has 80,000 people, how many people live in Elmhurst?
Answer:
1) Jackson Heights population = 100,000
2) Elmhurst population = 64,000
Step-by-step explanation:
1) 80,000 x 1.25 = 100,000
2) 80,000/1.25 = 64,000
If an image was translated 8 units to the left and 2 units down, what would its rule be?
A. (X,Y-> (X + 8, y - 2)
B. (x, y) --> (X - 8, y - 2)
C. (x, y) --> (X + 8, y + 2)
D. (x, y) --> (X - 8, y + 2)
ill give brainliest! plsss help
Answer:
B
Because u r going -8 units on the x-axis and 2 units down on the y-axis
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
What number do these words represent?
Two-hundred thousand, ninety-seven
Please help this is due TODAY
Calculate the unknown variable value .
Do not answer with a one answer, blank or a ridiculous answer please this is serious.
Need Help. I will give brainliest.
Answer:
I think that by nothing these.triangles are similar so it is option d
Answer:
Step-by-step explanation:
If we look at the ratios of shortest to longest sides we see
34/110 does not equal 26/44
Since these ratios are not equal they are not similar triangles.
So the answer is D
Find the midpoint M of the line segment joining the points S = (1, -2) and T = (-7,-6).
Answer:
(-3 ,-4)
I have made it in above picture
hope it helps
8x + 9y - 6x - 3y i forgot how to do these lol