Answer:
Ok, the solution to the first one. See below.
Step-by-step explanation:
[tex]1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2[/tex]
See attachment below.
Best Regards!
The grade appeal process requires that a jury be structured selecing eight individuals randomly from a pool of 12 students and 12 falculty.Whai is the probability of selecting all students
Answer:
0.07% probability of selecting all students
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the jury is selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
[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]
What is the probability of selecting all students?
Desired outcomes:
8 students from a set of 12. So
[tex]D = C_{12,8} = \frac{12!}{8!4!} = 495[/tex]
Total outcomes:
8 people from a set of 12+12 = 24. So
[tex]T = C_{24,8} = \frac{24!}{8!16!} = 735471[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{495}{735471} = 0.0007[/tex]
0.07% probability of selecting all students
cos(7π/6)= a. 1/2 b.-1/2 c.√3/2 d.-√3/2 Help please?
Answer:
D. -√3/2
Step-by-step explanation:
Remember your unit circle.
Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.
Answer:
D. -√3/2
Step-by-step explanation:
Which situation is best modeled by the equation 11 + x=28
Answer:
1
Step-by-step explanation:
First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28
Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.
The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28
Answer:
The first choice
Step-by-step explanation:
3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation:
How do you tell the difference between a inclusive data set probability and a exclusive data set probability?
Answer:
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
Step-by-step explanation:
I. Work out the following Questions clearly and neatly
1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and the
altitude is 12cm, then find
the length of CD
b. the perimeter of the trapezium
the area of the trapezium
2. In a rectangular prism where length, width and height respectively
are 7cm, 5cm and 10cm. Then calculate the following
a perimeter of the upper base.
b. the sum of the perimeters of the bases.
c. the area of the lower base.
d. the sum of the areas of the bases.
e. the area of one of the larger lateral faces.
f. the area of one of the smaller lateral faces.
g. the areas of the lateral faces(AL).
h. the total surface areas of the prism(AT).
i. the volume of the prism.
If a regular polygon has ten sides, then find
number of diagonals formed from one vertex.
b. number of triangles formed.
C. number of diagonals formed from each vertex.
d. sum of all interior angles.
e. what is the name of the polygon.
Answer:
the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school
What is the value of x?
Answer:
x = 155
Step-by-step explanation:
155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel
x = 155
why are parallel lines considered to be parallel ? explain
Answer:It is what it is
Step-by-step explanation:
Answer:
Parallel lines do not intersect.
Parallel lines are like an equal sign
========================
They go Straight across
While perpendicular lines intersect.
A lot of squares are parallelograms, they only have parallel lines.
Hope this helps
~ヾ(・ω・)
Please help me I keep getting long and I do not know what I’m doing
Answer:
-2
Step-by-step explanation:
Trial and error with multiples of 5.
The first one Tried was 15 and
I got kJ and kl= 15. But that’s not right as they are equal now.
Note that the numbers we are trying are the difference between j and k and not where k is,yet
So, I tried 25
K = -27 + 25 = -2
K from l = 3-5(because ratio was five to one) =-2
Hope this helps
which one of these are a square number a)4x10^5 b)9x10^4 c)4x10^3 d)9x10^3
Answer:
The answer is b I believe
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!!
Answer:
a)f(o)=12
f(1)=0
f(12)=1320
c)x=1
Step-by-step explanation:
Circle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
line AB
midpoint
Step-by-step explanation:
Factor x^3 + 2x² + x completely.
Answer:
x(x+2)^2
Step-by-step explanation:
x^-3 +2x^2 +x
Taking x as common
x(x^2+2x+1)
x[(x)^2+2(x)(1)+(1)^2]
x(x+2)^2
I hope it will help you
Solve 2x + 1 2x - 6 this is the second question please help
Answer:
No solution
Step-by-step explanation:
Either you set them equal to each other or use system of linear equations, the answer will be no solution. That is because these 2 lines are parallel.
If the question is 2x + 1 < 10
Step 1: Isolate x
2x < 9
Step 2: Divide both sides by 2
x < 9/2
x < 4.5
If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
Answer:
6 matches
Step-by-step explanation:
Let’s call the teams A B C D
A will play B C D = 3 matches
B will play only C and D as it already played A, making 2 matches
C will play D, making 1 match
D has already played all
Total number of matches is thus 3 + 2 + 1 = 6 matches
I WILL MARK YOU BRAINLIEST!!!! PLZ HELP
Answer:
C. G(x) is a negative number with a small absolute value
Step-by-step explanation:
As x increases, G(x) goes towards 0 from the a negative quadrant.
find the value of y in the given ratio 9y=3:5
Answer:
y=15
Step-by-step explanation:
im guessing you meant 9:y = 3:5
(9*5)/y = 15
A study of the effect of seatbelt use in head-on car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less that a 0.0001 chance of getting these results. The probability shows that the sample results ____(could or could not) have occurred by chance. It appears that there _______ (is or is not) sufficient evidence to conclude that seatbelts do have an effect on survival rate.
Answer:
The correct option are;
1) Could not
2) Is
Step-by-step explanation:
The parameters given are;
The survival rate of drivers using seat-belt = 67%
The survival rate of drivers not using seat-belt = 41.5%
The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001
Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;
The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
What is the solutions of x2 = –5x + 8?
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
A blockbuster movie makes about $35,200,000 in the
United States during its opening weekend. The same
weekend another movie opens but only makes about
$2,500,000
What is the combined revenue for the movies? Write
your answer in scientific notation.
Show your work.
Please help.
Answer:
$3.77 * 10^7
Step-by-step explanation:
$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's is 5 and her father is 30
Step-by-step explanation:
x+5+6x+5=2x+6x+5
x+6x-2x-6x=5-5-5
-x =-5
x =5 Meena
6*5
=30 Her father's age
Have a good day and stay safe!
Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
Earth's circumference is approximately 25,120 miles because if you plug in 8,000 and 3.14 into the formula C = πd, C = 25,120.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1. A population of lab rats is going to be increased by 3 rats a month. If it costs $3.50 to
care for each rat a month and there were 2 rats to begin with in the lab. (Assume all
rats survive lab work)
a. Create a formula that would represent the population of lab rats in month n.
b. How much will the lab be paying for the rats after 10 months?
C. After how many years will the lab rats population reach 326?
Answer:
a. p(n) = 3n -1
b. $101.50
c. 9 years
Step-by-step explanation:
a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:
for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.
The usual formula for the n-th term of an arithmetic sequence applies:
a[n] = a[1] +d(n -1)
a[n] = 2 +3(n -1) = 3n -1
In month n, the population of lab rats is ...
p(n) = 3n -1
__
b. After 10 months, the population will be ...
p(10) = 3·10 -1 = 29
At $3.50 per rat, the cost will be ...
29 · $3.50 = $101.50
__
c. We want to find for p(n) = 326.
326 = 3n -1
327 = 3n
109 = n
Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.
Which graph represents the function r(x) = |x – 2| – 1
Answer:
picture?
Step-by-step explanation:
Answer:
Which graph represents the function r(x) = |x – 2| – 1
- The first graph
Step-by-step explanation:
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
The standard equation of a circle is:
(x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius of the circle.
Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:
[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]
Hence the center of the circle is at (2.5, -1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
What is the midpoint of the segment shown below ?
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models
the function?
Graphing
Answer:
The graph that best fits this model of profit and price per unit is attached to this solution.
Step-by-step explanation:
A couple of graphs are missing from the question. According to the full question as obtained online, there are a number of graph options, and we are expected to pick the best option. I would not add all the other graphs to limit the chances of deletion due to violating community guidelines.
The function is to model the profits of a new pet-monitoring system, so, if the profits are y and x is the price per unit, y = f(x)
The profits vary as the price per unit varies, there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit.
This description of the curve shows that y is negative at values of x less than $95, then the profits increase when x varies between $95 and $140. The profits reach a maximum at $140 and then the profits start to decline as x increases again, the profits go to 0 at x = $185.
This description shows that the function is a quadratic function with a graph that is n-shaped, peaking at x=185 and the graph crosses the x-axis at x=95 and x=185.
The most fitting graph for this model is attached to this solution provided.
From the graph, all the descriptions above are evident.
Hope this Helps!!!
Answer:
Graph A!
Step-by-step explanation:
just passed on edge 2020
2x+y-5= Please help