Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
MR = MN+NP+PQ+QR
MN=4 and MN≡QR so QR=4
PQ=6 and PQ≡NP so NP=6
MR = 4+6+6+4 = 20
Animal house rescue is holding a fundraiser raffle. they sell 2,980 tickets for $1 each for a prize telescope valued at $425. what is the expected gain or loss to a participant purchasing ten tickets
A)$4,240.00 gain
B)$8.57 loss
C)$0.86 loss
D)$12.85 gain
Answer: The answer is C, hope I helped :)
Step-by-step explanation:
A purchase of 10 tickets is at an expected loss of $0.857 to the person.
Option B) $8.57 loss is the right choice.
What do we mean by Expected Gain or Loss?The expected gain or loss is a weighted average of the probability of the different gains or losses and the gains or losses.
How do we solve the given question?We are asked to calculate the expected gain or loss for a participant who purchases 10 tickets for a raffle costing $1 each, with a prize of a telescope valued at $425. We are told that a total of 2980 tickets have been sold.
First, we calculate the expected gain or loss on 1 ticket,
= 425*(1/2980) + (-1)(1)
= 0.1426174496 - 1
= -0.857382550.
∴ A purchase of 1 ticket is at an expected loss of $0.857
Now, we multiply this by 10 to get the expected gain or loss for the person with 10 tickets.
= -0.857382550*10 = -8.57382550
∴ A purchase of 10 tickets is at an expected loss of $0.857 to the person. Option B) $8.57 loss is the right option.
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Translate this sentence into an equation. The sum of 16 and Delia's height is 74. Use the variable d to represent Delia's height.
Please help me this is important to my grade
Answer:
C. x = 6
Step-by-step explanation:
2*6 + 4 = 16
Which story problem can be solved using the expression 5 ÷ 1/4 ?
A : Suzy needs 5 pieces of ribbon that are each 1/4 yard long.What is the total length of the ribbon she needs?
B : Alex cuts 1/4 of a pizza into 5 slices.What part of the pizza is one of the slices he cuts?
C :Nicole cuts 5 feet of string into 1/4 foot pieces.How many pieces does she cut?
D : Sammy pours 1/4 cup of honey equally into 5 teacups.How much honey does he pour into each teacup? Which one plzz help
What is the measure of the angle in standard position 30 330 -60 -30
A store raises its prices on granola bars by 15%. The original cost of the granola bars is $3.50. What is the new cost of granola bars?
Answer:
$4.02
Step-by-step explanation:
Define Hypotenus
I have forgotten what it is
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
It is useful in different situations involving the need to find distance or the measure of an angle.
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200
9514 1404 393
Answer:
a) 3.18 years
b) 13.52 years
c) 23.10 years
Step-by-step explanation:
Solving for t, we find ...
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P)/r
For P=100 and r=.03, the times are ...
a. $110: t = ln(110/100)/.03 ≈ 3.18 years
b. $150: t = ln(150/100)/.03 ≈ 13.52 years
c. $200: t = ln(200/100)/.03 ≈ 23.10 years
Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls more likely. Preliminary results from a test of the XSORT method of gender selection involved 200 couples who gave birth to 115 girls and 85 boys. At significance level of 0.1, test whether the proportion of girl births after the treatment is greater than the 50% that occurs without any treatment (optional: show your work of the hypothesis testing in paper). Answer the next three questions
a. test statistic =
b. p-value =
c. What is your decision?
Answer:
a) test statistic = 2.12
b) p-value = 0.017
c) we reject the Null hypothesis
Step-by-step explanation:
Given data :
N = 200
girls (x) = 115 , Boys = 85
p = x / n = 115 / 200 = 0.575
significance level ( ∝ ) = 0.1
aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .
A) Determine the test statistic
H0 : p = 0.5
Ha : p > 0.5
to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1
Z - test statistic = ( 0.575 - 0.5) / [tex]\sqrt{0.5*0.5 / 200}[/tex] = 2.12
b) determine the p-value
The P-value can be determined using the normal standard table
P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017
c) Given that the p value ( 0.017 ) < significance level ( 0.1 )
we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%
Given: cosθ= 4/5
Find: sin2θ
Answer:
cos theta=4/5
b/h=4/5
b=4 and h=5
p=?
H^2=P^2+B^2
5^2=P^2+4^2
25-16=P^2
9=P^2
[tex]\sqrt{9}[/tex]=P
3=P
Now,
sin2theta
=p/h2
=3/5*2
=9/5
Step-by-step explanation:
Answer:
About 36.87 degrees; sinθ=3/5
Step-by-step explanation:
Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.
Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.
By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:
c^2-b^2=a^2
Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).
5^2-4^2=a^2
25-16=a^2
9=a^2
a=3
The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.
sinθ=3/5
Move over the sine to then opposite side, inverse it:
θ=sin-1 3/5
Use a calculator.
θ = about 36.87 degrees.
Which is the graph of f(x) =
A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answer:2730
Step-by-step explanation:
The number of ways we can choose three different numbers in order for a unique code for this case is 2730
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]
Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730
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Which geometric series converges?
Answer:
Option 2: 1 + 1/2 + 1/4 + 1/8+...
Step-by-step explanation:
When a geometric series converges, it has a common ratio that is in between -1 and 1. We can start by finding the common ratios of all the options and then see which one converges.
In the first option, each term is 3 times the term before it, meaning it has a ratio of 3. 3 does not fit in the range we defined, so this series does not converge.
In the second option, each term is half the term before it. This means the common ratio is 1/2. 1/2 is in the range, so this series converges.
In the third option, we can see that the common ratio is -4 since it is the number being brought to a power. -4 does not fit in the range we defined, so this series does not converge.
In the fourth option, we can see the common ratio is 2 since it is the number you multiply by tone more time to get the next term. 2 does not fit in the range we defined, so this series does not converge.
From this, we can see the second option(1 + 1/2 + 1/4 + 1/8+...) is the solution.
The geometric series [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] converges by the rule of convergence. Thus, the option [tex]2[/tex] from the given options is correct.
When a geometric series converges, it has a common ratio that is in between [tex]-1[/tex] and [tex]1[/tex].
The convergence of the geometric series depends on the common ratio [tex]r[/tex]. When [tex]r[/tex]>1, then the series diverges.When [tex]r[/tex]<1, then the series converges, and when [tex]r[/tex] = 1, then the series oscillates.
The common ratio [tex]r[/tex] of the series [tex]\dfrac{1}{81} +\dfrac{1}{27} +\dfrac{1}{9} +\dfrac{1}{3}[/tex] is greater than [tex]1.[/tex] So, the series diverges.
For the series, [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex] , the common ratio [tex]r[/tex] is [tex]\dfrac{1}{2}[/tex], which is less than [tex]1[/tex] . So, the series converges.
For the series, [tex]\sum 7(-4)^n[/tex] , here the common ratio is [tex]-4[/tex] which does not lie in the range of convergence. Thus the given series is not convergent.
For the series,[tex]\sum \dfrac{1}{5}(2)^{n-1}[/tex] the common ratio is 2. So, the series is not convergent.
The geometric series is [tex]1+\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}[/tex].
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Angle Relationships
For the triangle above, find sin B.
a. 25°
b. 0.385
c. 0.923
d. 18°
Please select the best answer from the choices provided
Answer:
c
Step-by-step explanation:
12/13=0.923 , and also sinb is ac/ab
Answer:
C. 0.923
Step-by-step explanation:
I calculated it logically
3. 8.F.1.3
Which of the following equations represents
a linear function?
A. y = 3x2
B. y = 2-
C. y = 4x+6
D. y = -x + 3
pls helpppppppp meee i dont wanna faillll
Answer:
D, No trend or association
Which of these tables represents a function?
Table A
Table B
Table C
Table D
PLZZZZZZZZZZZZZZZZZ help
Answer:
true
Step-by-step explanation:
[tex]\frac{x}{2} <20[/tex]
* substitute 30 for x *
[tex]\frac{30}{2} <20\\\frac{30}{2} =15\\[/tex]
we're left with 15 < 20 which is true
if there 10 students and 2/5 play soccer how many students play soccer?
Answer:
4
Step-by-step explanation:
2 out of 5 play so if there is 10 students 10*2/5 = 4 students
Answer:
4 students would play soccer
Step-by-step explanation:
To make the total students 10 instead of 5 we multiply the information by 2. 2/5 times 2 equals 4/10. So 4 out of 10 studento play soccer
what is the angle of d
Answer:
115°
Step-by-step explanation:
65 +65 = 130
360-130= 230
230÷2= 115
a force of 200 n is excreted horizontally on a box of mass 18 kg ti displace it through a distance of 6 mass. how much work is done?
Answer:
28
Step-by-step explanation:
what is 1+1-(3x3)-(1x9)
help please!! really easy math. <3
Answer:
y = x+5
Step-by-step explanation:
Answer:
[tex]y = x + 5[/tex]
Step-by-step explanation:
GIVEN :-
Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5TO FIND :-
Equation of line in slope-intercept formFACTS TO KNOW BEFORE SOLVING :-
Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]
SOLUTION :-
By using the basic idea of slope-intercept form , the equation of line given in the question is :-
[tex]y = (1 \times x) + 5[/tex]
[tex]=> y = x + 5[/tex]
Completează casetele cu numărătorii potrivit pentru ca relațiile sa fie adevărate
Answer:
si
Step-by-step explanation:
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
Please help me fast!
Find the surface area of this cone. Show your work.
Answer:
The answer is 628 meters.
Step-by-step explanation:
The area for surface of a cone is pi times the radius (radius plus the square root of the height squared plus the radius squared).
Lol, i know this is really confusing, just look up surface area of a cone formula.
Height squared = 15 * 15 = 225
Radius squared = 8 * 8 = 64
225 + 64 = 289
The square root of 289 is 17
17 + 8 = 25
3.14 * 8 = 25.12
25.12 * 25 = 628 meters.
Could I get Brainliest please?!?!
Expand and simplify (2x + 1)(x + 3)
2x2 + 7x + 3 -answer
(2x + 1) (x + 3)
(2x * x) + (2x * 3) + (1 * x) + (1 * 3)
2x2 + 6x + x+3
2x2 + 7x + 3
What is the volume please help me
Answer:
125 inches cubed
Step-by-step explanation:
First, you find the volume of the full square, and then you divide your answer by 2, since the figure is a triangle.
So,
10 x 10 x 2.5 = 250
250 ÷ 2 = 125 inches cubed
25 PTS PLEASE HELP QUICK
(not related to the question but please add thx i want friends)
OK THX THE QUESTION IS BELOW
Answer:
-3
Step-by-step explanation:
just plug in the points on the line into y2-y1/x2-x1
Select the correct answer.
Point P is the centroid of triangle JKL.
R
16
30
S
What is QL?
OA 32
OB. 45
OC 46
OD
48
OE. 64
Reset
Next
Answer:
D. 48
Step-by-step explanation:
QP = 16 (given)
LP = ?
Given that P is the centroid of the triangle, therefore:
QP = ⅓(QL) (based on the centroid theorem)
Plug in the value
16 = ⅓(QL)
Multiply both side by 3
3*16 = QL
48 = QL
QL = 48