Using the binomial probability relation, the probability of the following events are :
P(x = 5) = 0.2076P(x > 5) = 0.6785P(x ≤ 5) = 0.3215Using the relation :
P(x = x) = nCx * p^x * q^(n-x)
Probability of success, p = 0.75q = 1 - p = 1 - 0.75 = 0.25Number of trials, n = 8Probability of exactly 5 :
P(x = 5) = 8C5 × 0.75^5 × 0.25^3
P(x = 5) = 0.2076
2.) Probability of selecting more than 5 :
P(x > 5) = p(6) + p(7) + p(8)
Using a binomial probability calculator :
P(x > 5) = 0.6785
3.)
Probability at most 5 :
P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)
Using a binomial probability calculator :
P(x ≤ 5) = 0.3215
Therefore, the probability of selecting at most 5 is 0.3215
Learn more :https://brainly.com/question/12474772
Examine the terms below. Write a sentence explaining what the terms have in common.
a. indentured servant b. debtorWhy did George Calvert establish the colony of Maryland?
Answer:
If a debtor wasn't able to pay his/her debt off they would be forced to become an indentured servant and work there debt off.
For English Catholics, who were discriminated at the time. They settled in the colony of Maryland to escape persecution under the hands of Anglicans.
Paula orders 3.75 pounds of
macaroni salad and 2.25
pounds of coleslaw. How
many more pounds of
macaroni salad does she
have than coleslaw?
Answer:
1.5 pounds more.
Step-by-step explanation:
3.75 - 2.25
= 1.50.
Answer:
1.50 pounds
Step-by-step explanation:
Paula orders a macaroni salad and coleslaw each weighing 3.75 and 2.25 pounds respectively
so, to find how many more pounds of macaroni salad than coleslaw we do,
3.75-2.25=1.50
therefore, macaroni salad has 1.50 pounds more than coleslaw.
PLS MARK BRAINLIEST
Round 4.568 to the nearest hundredth.
Answer:
4.57
Step-by-step explanation:
What kind of reward and sacrifices do you believe a doctor would have?
Answer:
As a doctor, you witniss pain and death on a daily basis (which can be tramatic). You also have peoples lives put in your hands, and if you fail them you must answer their legal caretakers and or family. Also lawyers in some cases. Law can be a con of being a doctor. It is easy to get a lawsuit against yourself in that job category. But the pros (good things) are that the pay is well, and if all goes right you get to save lives for a living. This job is also deemed a sophisticated one by most, gaining you scholarships, respect, etcetera.
The distance between Point A (a, b) and Point C (c,d) can be found by using which formula?​
Answer:
d = √[(a-c)^2 + (b-d)^2]
Divide: (1.2 x 10⁷) / (3.0 x 10⁵)
Multiply: (1.5 x 10⁴) x (3.0 x 10⁶)
Answer:
divide: 40
multiply:4.5x10^10
Step-by-step explanation:
Which statement corresponds to the values of x shown on the following number line? (Gray line is answer, dark black line is just number line)
a) -4 5x<2
b) -4
c) -45x>2
d) -42 x > 2
Answer:
a)-4 5×<2
Step-by-step explanation:
#CarryOnLearninghelp me with this:(((
Answer:
3
Step-by-step explanation:
Use the distributive property to write an equivalent expression 2(r+8) 2(r+8)
Answer:
Simplified expression: (2r+16)(2r+16)
if you need to combine like terms it would be 4r+32
Step-by-step explanation:
to distribute you multiply whatever is outside the parenthesis with everythign inside. 2*r= 2r, 2*8= 16
(2r+16)(2r+16)
and if you want to combine like terms it would be
4r+32
since you add whatever goes together (whole numbers +whole numbers, numbers with variable+ numbers with variable)
Which number is greater than 1/4
Answer:
what numbers are we choosing from?
it isnt showing up if you attached an image.
but anyways 3/4 is larger.
write a number in standard form where 7 is in the tenths place
Answer:
30.75
Step-by-step explanation:
Hope this helps!
PLEASE HELP
The area of a square is 8km. Find its perimeter.
Answer:
[tex]area = 8k {m}^{2} \\ l = \sqrt{8} \\ = \sqrt{2 \times 4 } = \sqrt{2} \sqrt{4} \\ l = 2 \sqrt{2} km \\ perimeter = 4 \times l \\ = 4 \times 2 \sqrt{2} \\ = 8 \sqrt{2} km[/tex]
HELP QUIC
What is the value of x?
Enter your answer in the box.
What is the slope of a line which passes through points (-7,2) and (21,-10)?
The question gives us two points, (-7,2) and (21,-10), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (2 - (- 10)) ÷ (-7 - 21)
= - ¹²/₂₈
= - ³/₇
Checking my answer:
We can use the slope we found and a point to write the equation of a line. If the line passes through both points, then we calculated the slope correctly.
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y + 10 = - ³/₇ (x - 21)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
anybody help me please?
Answer:
I can help but im going to need a question
Step-by-step explanation:
We need the question so we are able to help :P
Jose buys cookies and lemons at the store. He pays a total of $30.64. He pays $5.20 for the cookies. He buys 6 bags of lemons that each cost the same amount. Which equation could be used to determine x, how much each bag of lemons costs?
Answer:
$4.24 each
Step-by-step explanation: I did the math. Well but you first subtract the amount of the cookies. Then you have to divided to est of it by six then boom you get the answer.
Solve for x.
A) 9
C) 10
E) 6
B) 15
D) 4
Answer:
Hii I'm Philippines slamat sa points
5/6+(-4/9)-(-2) help please
Answer:
43/18
Step-by-step explanation:
Hope this helps
Answer:43/18 or 2 7/18 or 2.38
Step-by-step explanation:5/6-4/9+2
Factor this please thank you !!
Answer:
[tex] {y}^{2} - 14y + 45 \\ \\ {y}^{2} - 9 y + 5y - 45 \\ \\ y(y - 9) - 5(y - 9) \\ \\ (y - 5)(y - 9)[/tex]
Here's the solution :
[tex] {y}^{2} - 4y+ 45[/tex]
[tex] {y}^{2} - 9y - 5y + 45[/tex]
[tex]y(y - 9) - 5(y - 9)[/tex]
[tex](y - 5)(y - 9)[/tex]
therefore, the roots are 5 and 9
2x+2y=10 in slope intercept form
What is the y-intercept of a line that has a slope of 3 and passes through point (-1, -7)?
O-10
O4
O 3
O 7
What is the smallest multiple of 18 of the form 2A945B, where A and B are digits?
Answer:
[tex]219456[/tex]
Step-by-step explanation:
It must end in [tex]0,2,4,6,8[/tex] (divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).
The digit sum is [tex]2+A+9+4+5+B=20+A+B[/tex].
We want to make [tex]A[/tex] as low as possible because it's a higher digit than [tex]B[/tex].
If [tex]A[/tex] is as low as possible, we have that the sum is [tex]20+0+7=27[/tex]. Uh-oh. [tex]B[/tex] has to be even! So [tex]A=0[/tex] doesn't work.
If [tex]A=1[/tex], we have that the sum is [tex]20+1+6=27[/tex]. Yay!
So, the answer is [tex]\boxed{219456}[/tex]
-3(3-10x) could you answer it quickly for me? please and thank you
It's distribute property.
Answer:
-9+30x
Step-by-step explanation:
-3 x 3 is -9
-3 x -10x is 30x
Answer:
-9 + 30x
Step-by-step explanation:
Like you mentioned, to solve this expression we need to use the distributive property...
We have to distribute -3 to 3 and -10x.
When multiplying negative and positive numbers it is important to know that...
-negative times negative equal positive
-negative times positive equal negative
-3 · 3 = -9
-3 · -10x = 30x
Therefore the answer is -9 + 30x
Hope this helps! Let me know if you have any further questions :D
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?
Plz show work and i will be so grateful
Answer:
35 hours during week pay: 498.75
2.50 more on weekends
Lets us find unit rate
498.75/35= 14.25
14.25 dollars on weekday add 2.50 and...
16.75 dollars is pay per hour on weekends
16.75*6= 100.5
100.5+498.75=
599.25 dollars
Step-by-step explanation:
Answer:
512.75$
Step-by-step explanation:
2.50 x 6 = 15.00$
So, add 15 to 498.75 by using standard algorithm.
Your result should be 512.75$
Therefore, your answer would be 512.75$
-kiniwih426
two thirds of a number increased by five. write in algebraic expression
Answer:
[tex]\frac{2}{3}[/tex] n + 5
Step-by-step explanation:
let n be the number , then the algebraic expression is
[tex]\frac{2}{3}[/tex] n + 5
What should I write ?
Answer:
It is true because 3/6 is that smallest fraction or "simplest form" of 6/12
Step-by-step explanation:
Need this asap please put correct answer it for a grade, Which equation represents the line that goes through the points (0, 2) and (6, -4)?
A. y = -x - 2
B. y = -x + 2
C. y = x + 2
D. y = -6x - 2
Answer:
y=-x+2
Step-by-step explanation:
Answer:
b.Y=-X+2
Step-by-step explanation:
Somebody help me please
Answer:
A and C ....................................
Answer:
the answer is :a and c
Step-by-step explanation:
i did it
y + 4 ≤ |x-2|
please explain how to solve and graph it. Also please show a graph.
| = an absolute value bar, it kinda looks like 1
Answer:
y ≤ |x - 2| + 4
Step-by-step explanation:
step (1)
move the 4 to the other side, so it would look like:
y≤ |x-2| + 4
step (2)
now we can start graphing it, you would first start on the x axis moving it to the right. so your point on the graph should be (2,0) {don't graph a point there though}
the reason we do this is because the absolute value means the opposite so everytime there is a number in the absolute value being added or subtracted by just x then we move it the opposite side.
then from that (2,0) we go up four which would now make it (2,4). that is our first point and vertex so graph that.
now in y≤ |x-2| +4 you have to note that if there is nothing next to the equality and the absolute value, then it will become a 1. so our equation will now look like y ≤ 1 |x-2| + 4. so with that from our (2,4) point, we go up one and to the right one and to the left one. So there should be two more points at (3, 5) and (1, 5).
we then keep following the pattern of going up one and the right one and to the left one. the graph line should be in a V shape.
step (3)
now there is one last thing you need to do which is shading. what you're going to do first is check the inequality sign. if the inequality sign has a line under it (meaning equal to) then the line will be a solid line. if it doesn't then there should be a dashed line. our inequality sign has a line under it so it is a solid line.
then we need to figure out where to shade, above or below. if the y is greater than the rest of the equation then that means you need to shade above the V shape. however, if it were to be less than the rest of the equation you would shade below the V shape.
in this problem since the y is less than the rest of the equation, shade downwards.
i hope this answered your question and sorry if my explanation was hard to understand, its a pretty lengthy and confusing but it was the only way i knew of how to explain :))
We can calculate the total price in dollars (d) based on the pounds of ribeye steak (s) sold using the equation d=8s. What would be the total price (d) of 4 pounds of steak?
Answer:
$32
Step-by-step explanation:
The variables in this equation are already defined. So we know that whatever d is equal to will be the cost, and therefore, the final answer. Additionally, s is the number of pounds of steak, so it is an independent variable. To solve this equation, plug in the number of pounds, 4, into the equation for s. Also, 8 is the unit price for the steak, so this multiplied by the amount of steak must be the total cost. This makes the new equation, d=8(4). Finally, multiply these numbers to get d=32. So the final cost for 4 pounds of steak must be $32.
Answer:
32 dollars
Step-by-step explanation:
The Equation to calculate the total price(d) based on the pounds of ribeye steak(s) sold if given as:
d = 8S
So, to calculate the total price(d) of 4 pounds of steak, all we need do is to substitute 4 into the given formula
That is,
d = 8(4)
d = 32 dollars
Therefore the price of 4 pounds of steaks is 32 dollars
