Step-by-step explanation:
Let the number be n. Then: 2n + 9
-7x is less than or equal to -21
What is the x value? Plz get back I need help with this soon.
List 2 different ways to name angle 2 shown below.
Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be sure the players were hydrated. When nearby construction forced a water shut off, Steve went to the Star Market to purchase bottles of water. He needed a total of 80 liters of water. Star Market sold water in two liter bottles and in half liter bottles. What possible combinations of the small and large bottles might he purchase in order to bring 80 liters to the football team?
a. Write an equation that models the possible combinations of half liter bottles and two liter bottles that would total 80 liters. (Be sure to define the variables.)
b. What is the x-intercept and what does it represent?
c. What is the y-intercept and what does it represent?
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Answer:
a. x + 4y = 160
b. 160
c. 40
Step-by-step explanation:
a. We can define the variables as ...
x = number of 1/2-liter bottles
y = number of 2-liter bottles
For the total number of liters to be 80, we require
1/2x + 2y = 80
We can multiply this by 2 to eliminate the fraction.
x + 4y = 160
__
b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.
__
c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.
A home security system is designed to have a 90% reliability rate. Suppose that 6 home equipped with this system experience an attempted burglary. Find the probability that at least two of the alarms are triggered.
Answer:
0.999945 = 99.9945% probability that at least two of the alarms are triggered.
Step-by-step explanation:
For each alarm, there are only two possible outcomes. Either it is triggered, or it is not. The probability of an alarm being triggered is independent of any other alarm, which means that the binomial probability distribution is used 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.
A home security system is designed to have a 90% reliability rate.
This means that [tex]p = 0.9[/tex]
Suppose that 6 home equipped with this system experience an attempted burglary.
This means that [tex]n = 6[/tex]
Find the probability that at least two of the alarms are triggered.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{6,0}.(0.9)^{0}.(0.1)^{6} = 0.000001[/tex]
[tex]P(X = 1) = C_{6,1}.(0.9)^{1}.(0.1)^{5} = 0.000054[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.000001 + 0.000054 = 0.000055[/tex]
Then
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.000055 = 0.999945[/tex]
0.999945 = 99.9945% probability that at least two of the alarms are triggered.
SEE ATTACHED IMAGE, THANK YOU!
Answer:
a)
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value is 0.75
Step-by-step explanation:
Ok, we know that out of 8 cameras, 3 are defective.
So first let's find the probability for a camera randomly selected to be defective.
This is just the quotient between the number of defective cameras and the total number of cameras.
p = 3/8
then the probability that a camera is not defective is:
q = 5/8.
Ok, now we draw 2 cameras at random from the box.
We can define X as the number of defective cameras in these two drawn, we can have 3 possible values of X.
X = 0 (neither of the cameras is defective)
X = 1 (one of the cameras is defective)
X = 2 (both of the cameras is defective).
Let's find the probabilities for each case.
X = 0.
In this case, we first draw a non-defective camera, with a probability of:
P = 5/8.
The second camera drawn must be also non-defective, but now there are 4 non-defective cameras in the box and a total of 7 cameras (because one was already drawn).
Then the probability now is:
Q = 4/7
The joint probability is the product of the two individual probabilities:
P[0] = P*Q = (5/8)*(4/7) = (5/14)
X = 1
Here we have two cases:
the first is defective and the second is non-defective
the first is non-defective and the second is defective
So we just have a factor of 2, to consider both cases
Assuming the first case
Probability of drawing first a defective camera is equal to the quotient between the number of defective cameras and the total number of cameras:
P = 3/8
For the second draw we want to get a non-defective camera, here the probability is equal to the number of non-defective cameras remaining (5) and the total number of cameras (7, because we drawn one)
Q = 5/7
The joint probability, taking in account the permutation, is
P[1] = 2*P*Q = 2*(3/8)*(5/7) = (15/28)
finally, for X = 2
This is the case where we draw two defective cameras, we can use a similar approach as the one used in the first case:
For the first camera:
P = 3/8
For the second camera:
Q = 2/7
Joint probability:
P[2] = (3/8)*(2/7) = 3/28
then we have the table:
X P[X]
0 5/14
1 15/28
2 3/28
b)
The expected value for an event that has the outcomes:
{x₁, x₂, ..., xₙ}
Each one with the correspondent probability
{p₁, p₂, ..., pₙ}
is defined as:
EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ
Then in our case, the expected value is just:
EV = 0*P[0] + 1*P[1] + 2*P[2]
EV = 0 + 15/28 + 2*3/28
EV = (15 + 6)/28 = 21/28 = 0.75
What is the length of the hypotenuse of the triangle below?
45°
h
5V2
45°
90°
52
The length of the hypotenuse of the triangle whose other two sides are of the length 5√2 units is given by: Option B: 10 units.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For this case, consider the figure attached below.
Then, we are given the facts that:
Triangle ABC is a right angled triangle with right angle at vertex BThe lengths of non-hypotenuse sides AB and BC are 5√2 unitsThe length of the hypotenuse AC, denoted by h is to be found.Using the Pythagoras theorem, we get:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\h^2 = (5\sqrt{2})^2 + (5\sqrt{2})^2 \\\\h^2 = 2(5\sqrt{2}))^2[/tex]
Taking root, we get:
[tex]h = \sqrt{2 (5\sqrt{2})^2}[/tex] (only positive root since h is denoting length, which is a non-negative quantity).
Thus, we get:
[tex]h = \sqrt{2 (5\sqrt{2})^2} = \sqrt{(5\sqrt{2})^2} \times \sqrt{2} = (5\sqrt{2}) \times \sqrt{2} = 5 \times (\sqrt{2})^2 = 5 \times 2 \\\\h= 10 \: \rm units[/tex]
(square cancelled the square root).
Thus, the length of the hypotenuse of the triangle whose other two sides are of the length 5√2 units is given by: Option B: 10 units.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Answer:
10 units.
Step-by-step explanation:
just took the quiz
62x+2.63x = 1
Solve
EN
Step-by-step explanation:
answer is in photo above
Answer:
-2/5
Step-by-step explanation:
What is the y-intercept of 3x – 4y = 24? Write your answer as a single number.
Answer:
-6
Step-by-step explanation:
y-intercept of 3x – 4y = 24
=> x=0
3(0) -4y=24
-4y=24
y = 24/(-4) = -6
the point is (0, -6)
un tipo de bacteria se duplica cada 6 minutos.¿ cuántas bacterias habia en un comienzo si luego de una hora hay 2048?
Answer:
En un comienzo habia dos bacteria.
Step-by-step explanation:
On a coordinate plane, 3 lines are shown. Line m has points (negative 4, 3) and (0, negative 4). Line n has points (1, 2) and (3, negative 2). Line k has points (negative 3, negative 3) and (4, 1).
Use the diagram to answer the questions.
Is line m parallel to line n? Explain.
Is line m perpendicular to line k? Explain.
Answer:
actually, the answers are "No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Reason: just did it!!!!
Answer:
"No, the slopes are not equal"
and "Yes, the slopes are negative reciprocals".
Step-by-step explanation:
If 90 people were at a game and one-sixth bought programs for $1.50 each,
how much did they spend on programs all together?
Answer:
I'm pretty sure they spent $22.50
Step-by-step explanation:
do (1÷6)×(90) then multiply 15 and 1.50
A man deposits $ 14,850 into a bank, which pays 4% interest that is compounded
semiannually. What will he have in his account at the end of three years?
Given:
Principal = $14850
Rate of interest = 4% compounded semiannually.
Time = 3 years
To find:
The amount after 3 years.
Solution:
Formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded and t is the number of years.
The interest is compounded semiannually, so n=2.
Putting [tex]P=14850, r=4, n=2, t=3[/tex] in the above formula, we get
[tex]A=14850\left(1+\dfrac{0.04}{2}\right)^{2(3)}[/tex]
[tex]A=14850\left(1+0.02\right)^{6}[/tex]
[tex]A=14850\left(1.02\right)^{6}[/tex]
On further simplification, we get
[tex]A=14850(1.12616242)[/tex]
[tex]A=16723.511937[/tex]
[tex]A\approx 16723.51[/tex]
Therefore, the amount in the account after three years is $16723.51.
Simplify -|-7+4|
O 4
O -1/4
O -4
Answer:
Therefore, 7/4 simplified to lowest terms is 7/4.
I need help badly please with number 2 ...help me .. please no links or I will report you
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Answer:
$62.74
Step-by-step explanation:
The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.
The future balance due to a series of payments is given by ...
A = P(n/r)((1 +r/n)^(nt) -1)
where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.
You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P
P = A(r/n)/((1 +r/n)^(nt) -1)
P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74
A monthly payment of $62.74 is required.
Evaluate:
2n=1(3n + 2) = [?]
Answer:
n = -2
Step-by-step explanation:
2n = 3n + 2
-n = 2
n = -2
Find the area of the circle shown below if the radius is 13 inches. Use 3.14 for π. Use the formula π x R^2
A) None of these answers
B)2,122.64 inches
C)530.66 inches
D)20.41 inches
E)47.1 inches
Answer:
C
Step-by-step explanation:
that is the procedure above
The area of this circle with a radius of 13 inches is, C)530.66 inches
What are the circumference and diameter of a circle?The circumference of a circle is the distance around the circle which is 2πr.
The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.
A circle with center A is given and the length of the line segment(radius),
AB = AD = AC = 13 inches.
We know, The area of a circle is,
= πr².
= π(13)² sq in.
= 530.66 sq in.
We can also find the perimeter or the circumference of the circle by the formula 2πr,
= 2π×13.
= 26π.
= 81.64 inches.
learn more about circles here :
https://brainly.com/question/11833983
#SPJ7
In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?
Answer:
BT=CT the first one because BAT=CAT and bc cut the similar vector between these two triangle
Please help me with this (work out 10% of 13kg)
Answer:
1.3kg
Step-by-step explanation:
Answer:
its 1.3kg
Step-by-step explanation:
to work out 10% of anything just divide it by 10.
e.g 13kg÷10=1.3kg
What is the solution of the equation, n + 12 = 12?
n = ______
If you worked for the local CVS for $9.00 an hour and this week you worked 40 hours at regular time, and 5 hours of overtime at a rate of 1.5 how much money would you earn?
Answer:
1800
Step-by-step explanation:
First, you multiply 9 times 40 which is 360. So then since he worked for 5 more hours you multiply 360*5 which will give you 1800. :D
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
Will give brain lest
Answer:
its 2/3 because if u divied the width u get that
Step-by-step explanation:
you welcome i tried
With the spot rate E_VND/USD = 21,000, the Forward Rate: F_VND/USD = 21,250; the Expected Rate after 3 months: Ee_VND/USD = 22,000, the hedging cost to an importer participating in the risk handling will be?
Answer:
Step-by-step explanation:
The importer needs to make the payment in the VND each time so the importer may enter into hedge to protect himself from the appreciation of the VND against the dollar, now if the importer enters into the forward contract of the hedge and he come across the reverse situation that means the VND is depriciating that means if the hedger would not have entered into a forward contract then they would have benefited more.
Lets convert above above rate in per VND rate to understand better.
E_USD/VND = 1/21000 = 0.000048
F_USD/VND = 0.000047
Ee_USD/VND = 0.000045
so as we can see above if we had enter into a hedge contract we have to pay the 0.000047 per VND and if we would not have enter into the contract we would have to pay the 0.000045 per VND hence cost of Hedging is 0.00002 USD per VND.
Yevgenia walks 8 x 2/3 miles every week which fraction represents the number of miles that Yevgenia walks each
Answer:
16/3
Step-by-step explanation:
When multiplyin fractions by whole numbers, you can make the whole number a fraction by simply making the denominator 1, than you will multiply numerators by numerators and denominators by denominators, therefore
8 x 2 = 16
1 x 3 = 3
16/3
10
1
board/home
Solving Linear Equations. Tutorial Level
Four times the sum “n plus 10" is 34. What is the
value of n?
Multiply (n + 10) by 4.
4(x + 10) = 34
ESSICA
2
n+
2
= 34
DONE
00
P750
Answer:
-1.5 or -1 1/2
Step-by-step explanation:
I can only guess what is actually asked for. a lot of things went wrong when copying this problem description in here.
the basic question I understand is to solve the equation of
4(n + 10) = 34
=>
n + 10 = 34/4 = 8.5 or 8 1/2
n = 8.5 - 10 = -1.5 or -1 1/2
exact value of cos 60° x sin 30°
Answer:
the exact value is 1/4
Step-by-step explanation:
Mark as brainllest if helps!!!
Answer:
0.25
Step-by-step explanation:
cos 60° = 0.5
sin 30° = 0.5
cos 60° x sin 30° = 0.5 x 0.5 = 0.25
A shopping attendant needs to price a large jigsaw puzzle returned by a customer. The customer paid a total of $33.04, including a convenience charge of $1.75 and 10% sales tax on the subtotal. Use the inverse to find the original price of the puzzle. If necessary, round your answer to the nearest cent.
Answer:
28.45
Step-by-step explanation:
33.04-1.75=31.29
31.29/1.10=28.45
6 (b - 83) =10
Answer by steps?
Answer:
b = 84 2/3.
Step-by-step explanation:
6 (b - 83) =10
6b - 6*83 = 10
6b - 498 = 10
6b = 508
b = 508/6
b = 84 2/3
[tex]\longrightarrow{\green{84.666}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]6 \: (b - 83) = 10 \\ ➡ \: 6 \: b - 498 = 10 \\ ➡ \: 6 \: b = 1 0 + 498 \\ ➡ \: 6 \: b = 508 \\ ➡ \: b = \frac{508}{6} \\ ➡ \: b = 84.666 [/tex]
[tex]\boxed{To\:verify:}[/tex]
[tex]6 \:( b -83) = 10 \\ ➝ \: 6 \: (84.666 - 83) = 1 \\ ➝ \: 6 \times 1.666 = 10 \\ ➝ \: 9.996 = 10 \\ ➝ \:10 \: (round ing \: \: to \: \: closest \: \: whole \: \: number) = 10 \\ ➝ \: L. H.S.=R. H. S[/tex]
Hence verified.
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Help pleaseee (pre algebra)
Answer:
Robert had 78 coins or c=78
find the volume of the rectangular prism in cubic feet
Answer:
1.632 ft^3
Step-by-step explanation:
3.4 times .8 times .6 = 1.632 ft.
therefore the volume of the rectangle is 1.632 ft^3
i need help with this?
i’m so confused
Answer:
See below
Step-by-step explanation:
In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.
In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.
In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.
