Answer:
x=2
Step-by-step explanation:
5x +(3-1) =12
5x +2 =12
5x =12-2
5x =10
x =10÷5
x =2
Insurance companies need to maintain a certain amount in reserved funds in order to pay anticipated claims. The average monthly claim amount for the last 60 months for company A was $7,500,000 and the (sample) standard deviation was $1,200,000.
(a) Find a 95% upper confidence bound on the average monthly claim amount.
(b) The regulations on the reserves will be strengthened in the near future. According to the new regulations, insurance companies that do not have sufficient amount in reserve will be subject to a significant penalty. Company A wants to adjust the target reserve amount accordingly, by computing a new upper bound on the average monthly claim amount. Should the company recalculate an upper confidence bound with a higher or a lower level of confidence? Briefly explain why. Then compute a 99.95% upper confidence bound on the average monthly claim amount.
Answer:
a ) Upper bound of CI is 7803483.87
b) The new upper bound is 8039767.74
Step-by-step explanation:
From sample data:
sample size n = 60
sample mean x = 7500000
Sample standard deviation s = 1200000
a) Confidence Interval 95 % then significance level α = 5 % o α = 0.05
α/2 = 0.025 z(c) from z-table is z(c) = 1.96
CI 95 % = ( x ± z(c) * s/√n
CI 95 % = ( 7500000 ± 1.96 * 1200000/√60
CI 95 % = ( 7500000 ± 303483.87 )
CI 95 % = ( 7196516.13 ; 7803483.87)
Then upper bound of CI is 7803483.87
b) The company has to decrease the significance level equivalent to widen the confidence interval.
If CI now is 99.95 % significance level is α = 0.0005 and
α/2 = 0.00025 z(c) for that α/2 is from z-table z(c) ≈ 3.486
CI 99.95 % = ( x ± z(c)*s/√n
CI 99.95 % = 7500000 ± 3.486*1200000/ √60
CI 99.95 % = (7500000 ±539767.74)
CI 99.95 % = ( 6960232.26 ; 8039767.74)
The new upper bound is 8039767.74
for which of the following equations (-4, -3 ) not a solution
A. 2y - 3x = 6
B. -3x = 4y
c. y = 1 + x
D. 5x + 2y = -26
a triangular prism is 37 millimeters long and has a triangular face with a base of 42 millimeters and a height of 28 millimeters.The other two sides of the triangle are each 35 millimeters.What is the surface area of the triangular prism?
No links pls
Answer: 4145.43
Have a great day! ;)
The Venn diagram above shows the results of a survey of 200 readers on the type of magazine they read.
If a respondent is chosen at random, what is the probability that the respondent reads a technology OR a business magazine?
ОА. 11/20
OB. 9/20
Ос. 3/5
OD. 13/20
Answer:
11/20
Step-by-step explanation:
The total number of readers is 200
[tex]80 + 10 + 60 + 50 = 200[/tex]
The probability of an event is the number of the possible outcomes leading to the event over the total number of outcomes
thus, the number of people reading either a business magazine or a technology one is
[tex]P = \frac{50 + 60 }{200} = \frac{110}{200} = \frac{11}{20}[/tex]
[tex]\frac{1+siny}{cos y}+\frac{cos y}{1+sin y}[/tex]
[tex]\frac{cot x}{tanx+cot x}=cos^2x[/tex]
csc^2θ·tan^2θ - 1 = tan^2θ
Step-by-step explanation:
a)
[tex] \frac{1 + \sin y}{ \cos y} + \frac{ \cos y}{1 + \sin y} = \frac{1 + 2 \sin y + \sin^{2} y + \cos ^{2} y}{ \cos y(1 + \sin y)} [/tex]
[tex] = \frac{2 + 2 \sin y}{ \cos y (1+ \sin y)} = \frac{2}{ \cos y} = 2 \sec y[/tex]
b)
[tex] \frac{ \cot x}{ \tan x + \cot x} = \frac{ \cos x}{ \sin x( \frac{ \sin x}{ \cos x} + \frac{ \cos x}{ \sin x} )} [/tex]
[tex] = \frac{ \cos x}{ \frac{ \sin^{2} }{ \cos x} + \cos x } = \frac{ \cos x}{ \frac{ \sin ^{2} x + \cos^{2} x}{ \cos x} } [/tex]
[tex] = \cos ^{2} x[/tex]
c) Note that cscx = 1/sinx so
[tex] \csc^{2} \theta \tan^{2} \theta - 1= \frac{1}{ \cos^{2} \theta } - 1[/tex]
[tex] = \frac{1 - \cos^{2} \theta }{ \cos \theta} = \frac{ \sin^{2} \theta}{ \cos ^{2} \theta } = \tan^{2} \theta[/tex]
Use the listing method to write the following set \ 1,2,3\; [0, 1, 2, 3] O (1, 2)
Factor the expression completely. 28x2 + 20
Answer:76
Step-by-step explanation:
find the missing angles
Answer:
83°
Step-by-step explanation:
The sum of all interior angles of a trapezoid is 360°.
103° + 97° + 77° + x° = 360°
Solve for x°
x° = 83°
Answer:
83° pow
Step-by-step explanation:
Baka tama ee kasi yna sagot ko sa module e
Russo and Frederica want to find out if the parallelogram formed by connecting points
A, B, C, and D is a rhombus.
Russo's plan:
• Use the distance formula to find the lengths of the sides.
• See if the sides are all the same length.
Frederica's plan:
• Find the slopes of the two diagonals.
• See if the two slopes are negative reciprocals of each other.
Which student's plan will work?
Answer:
both plans are correct
Step-by-step explanation:
I know this because I just did the question
A mouse is trapped in a maze. To
find his way out, he walks 15 m,
makes a 90° left turn, walks 8 m,
makes another 90° left turn, and
walks 10 m. What is the magnitude
of the resultant vector?
Answer: Approximately 9.43 meters
The more accurate version is 9.4339811320566 but that's not exact.
This is exact magnitude is sqrt(89)
=======================================================
Explanation:
Let's draw an xy grid for this. Place the starting point at (0,0) which I'll call point A. Now let's say the mouse goes east 15 meters. That would move it to (15,0) which is marked as point B. Refer to the diagram below.
From point B, we move to C which is at (15,8). So the mouse has gone 8 meters north. It might help to turn the page so that the east direction is facing completely north, and then look to the left and you'll see "north". In other words, each 90 degree left turn is a 90 degree counterclockwise turn.
After doing another 90 degree counterclockwise turn, the mouse will move 10 meters westward. It moves from C(15,8) to D(5,8). Point D is the final position of the mouse.
-----------------------
A(0,0) was the initial position and D(5,8) is the final position
The vector v is
v = <5,8>
This is because we basically are saying "the mouse ultimately moved 5 meters east and 8 meters north" when going from start to finish. We're ignoring the intermediate stops along the way.
------------------------
Recall that for any vector of the form
v = <a,b>
the magnitude of that vector is
|v| = sqrt(a^2+b^2)
this is the length of the vector based on the pythagorean theorem.
Applying this formula gets us
|v| = sqrt(5^2+8^2)
|v| = sqrt(89)
|v| = 9.43398 approximate
This represents the straight line distance from start to finish, where we ignore any intermediate stops. So this isn't the distance the mouse travels (since it goes from A to B, to C to D). Instead, it's the distance it would travel if it wanted to take the shortest path from A to D.
Answer:
Step-by-step explanation:
9.4 for acellus
A set of eight cards contains one joker. Player A chooses 5 cards at random,
Player B takes the remaining three cards. What is the probability that Player A has the joker?
Player A discards 4 cards and Player B discards two cards. It is known that the joker has not been discarded, what is the probability that Player A has the joker?
Answer:
56%
Step-by-step explanation:
because of the 56% it had to be true to be in the question at all.
• A: Coupon rate = 3.5%, YTM = 4%
• B: Coupon rate = 3.2%, YTM = 3.2%
• C. Coupon rate = 2.8%, YTM = 3.5%
D: Coupon rate = 4%, YTM = 3.7%
Which of the bonds is selling at a premium?
Answer:
3.5%YTM=4%IS the answer
what is the largest six-digit base five number? How do you know?
Answer:
999999.9>repeating
Step-by-step explanation:
.1 more and it will be 7 digits and not 6 Hope this helps :D
9514 1404 393
Answer:
444444₅ = 15624₁₀
Step-by-step explanation:
It will be 1 less than the smallest 7-digit base-5 number. That number is 5^6 = 15625, so the largest 6-digit base 5 number is 15624 in decimal. In base 5, it is 6 of the largest base-5 digits:
444444₅ = 15624₁₀
__
The digits of the number cannot be any larger than the largest base-5 digit. The base-5 digits are 0 to 4, so the largest is 4.
If a_1=5a
1
=5 and a_n=a_{n-1}+4a
n
=a
n−1
+4 then find the value of a_5a
5
.
Answer:
[tex]a_5 = 21[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + d(n-1)[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
In this question:
[tex]a_1 = 5, d = 4[/tex]. So
[tex]a_n = a_1 + d(n-1)[/tex]
[tex]a_n = 5 + 4(n-1)[/tex]
Find the value of a_5
[tex]a_n = 5 + 4(n-1)[/tex]
[tex]a_5 = 5 + 4(5-1) = 5 + 16 = 21[/tex]
So
[tex]a_5 = 21[/tex]
The [tex]a_{5}[/tex] term of an arithmetic sequence is 21.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the difference between consecutive terms is constant, and this difference is called the common difference.
The nth term of the sequence is given by
[tex]\rm a_{n} =a_{1} + (n-1)d\\[/tex]
[tex]a_{1}[/tex]= the first term of the sequence and d is a common difference.
[tex]\rm a_{1} = 5, d=4\\\rm a_{n} =a_{1} + (n-1)d\\\rm a_{n} = 5 + 4(n-1)\\\rm a_{5} = 5 + 4(5-1)\\\rm a_{5} = 21[/tex]
Therefore, The [tex]a_{5}[/tex] term of an arithmetic sequence is 21.
Learn more about arithmetic here;
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Plz help me solve this algebra
Answer:
Step-by-step explanation:
[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]
A jar of grape jelly costs $6.95 plus tax. After sales tax, the jar of grape jelly costs $7.30. What is the sales tax rate? (your answer should be a percent)
Answer:
5.04%
Step-by-step explanation:
To find the percent difference (which represents the tax percent/rate), we can first use the formula
(final value - inital value) / (inital value)
Our final value is 7.30, and our initial value is 6.95. Plugging this into the formula, we get
(7.3-6.95)/(6.95) = 0.0504
This is a decimal. To convert a decimal to a percent, we simply multiply the decimal by 100, getting
0.0504 * 100 = 5.04% as our answer
What is the order of rotational symmetry of this shape .for brainlest
Answer:
4.
Step-by-step explanation:
The orientation of the shape is the same 4 times during 360 degree turn.
Answer:
4
Step-by-step explanation:
Rotational symmetry, also known as radial symmetry in biology, is the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.
kelly bought two dozen apples she found 1/3 of them were rotten how manu apples were rotten
the answer is 8 apples were rotten
Answer:
8 apples are rotten.
Step-by-step explanation:
2*12=24 . There are 12 apples in a dozen.
24/3=8
A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following data:
16 11 12 10 0 12 8 4 1 0
13 0 2 4 2 6 17 11 10 14
8 3 10 7 1 13 4 7 1 13
5 5 12 2 16 13 9 9
Complete the frequency distribution for the data.
Hours Frequency Relative Frequency
0-2
3-5
6-8
9-11
12-14
15-17
Step-by-step explanation:
The complete frequency distribution table for the data has been attached to this response.
The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear 9 times in the data. Also, the numbers in the range 3 - 5 appear 6 times. The same logic applies to other ranges.
The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.
So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e
9 / 38 = 0.24
Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e
6 / 38 = 0.16
Do the same for the other ranges.
Maria has 24 dollars. If cokes are 3 dollars and
hotdogs are 4 dollars, which inequality represents the
possibilities of how she can spend the 24 dollars:
Answer:
do 24 divide 3
then 24-4
have maria debate if she wants large quantities of hot dogs or cokes
PLS HELP ASAP!
Shown below is a cylinder. Calculate the volume using 3.14 for π
Answer:
V = 678.24 cm^3
Step-by-step explanation:
Formula for volume of a cylinder:
the radius is half of the diameter (12/2 = 6)
[tex]V = \pi r^{2} h\\V = \pi 6^{2} 6\\\\V = 678.24[/tex] cm^3
Answer:
678.24 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
We know the diameter
r =d/2 = 12/2 = 6
V = 3.14 * 6^2 * 6
678.24 cm^3
What is the answer for these 3 questions?
Answer:
3.1
Step-by-step explanation:
divide 28/9
which = 3.11111 .
Consider the following function:
f(3) = log2(x + 3)
Which interval has the smallest average rate of change in the given function?
O (0,2
O 4,6]
O [2,4
O (6,8)
In the function f(x) = log2(x + 3)), the smallest average rate of change in the function is in the interval, (6,8)
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
A logarithmic function,
f(x) = = log2(x + 3)
Rate of change = Change in values of function/change in x
= [F(b) - F(a)]/ b-a
For the interval, (0, 2)
f(0) = Log2(0 + 3) = Log(6)
f(2) = Log2(2 + 3) = Log(10)
Rate of change = Log(10) - Log(6) /2
= 0.11
Similarly, for the intervals, (4, 6), (2, 4), (6,8)
Hence, the smallest average rate is for the interval, (6, 8)
To know more about Logarithmic function check:
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solve the equation. Express decimals to 3 places.
3^x = 7
Answer:
1.771
Step-by-step explanation:
log 3^x = 7
x log3 = log 7
divide both sides by log3
x = log7 / log 3
x = 1.771
Answer:
Answer of given question is 1.771
Step-by-step explanation:
Given :
[tex]3^x=7[/tex]
Taking log on both side
[tex]log(3^{x} )=log 7\\xlog3=log7\\x=\frac{log7}{log3} \\x=1.7712[/tex]
Therefore, answer of the given question is 1.771
For brainlest answer
Answer:
3..
Step-by-step explanation:
dont know the explanation sry i m beginner so .
Which of the following shows the correct first step to solve. x^2+12x=72
Answer:
The answer is C
Step-by-step explanation:
The first step to solve the equation is x² + 12x - 36 = 72 - 36. The correct option is A.
A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is 2.
Among the options you provided, the correct first step to solve the equation x² + 12x = 72 is:
x² + 12x - 36 = 72 - 36
By subtracting 36 from both sides of the equation, you can bring the constant term to the other side, simplifying the equation to:
x² + 12x - 36 = 0
Now you can proceed with solving the quadratic equation using factoring, completing the square, or the quadratic formula.
To know more about quadratic equations follow
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I need to solve for X Y and Z please and thank you
9514 1404 393
Answer:
x = 5y = 30z = 8Step-by-step explanation:
The rhombus has several relevant properties.
The sides are all the same lengthDiagonals are perpendicular bisectors of each otherDiagonals divide the rhombus into congruent trianglesThe last of these relations can be used to find x:
7x° = 35°
x = 35°/7° = 5
The second of the relations can be used to find y:
3y° = 90°
y = 90°/3° = 30
The first of the relations can be used to find z:
10z -8 = 5z +32
5z = 40 . . . . . . . . . add 8-5z
z = 40/5 = 8
Answer and I will give you brainiliest
Answer:
x = 60 degree
Step-by-step explanation:
90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)
180 + 6x = 540
6x = 540 - 180
x = 360/6
x = 60 degree
What is the slope of the line described by the equation below?
y=-x+ 8
O A. -8
O B. -1
O C. 8
O D. 1
Answer:
-1
Step-by-step explanation:
See Image below:)
Answer:
-1
Step-by-step explanation:
Please help me please ! Quick
Answer:
4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.
Answer:
C. I think
Step-by-step explanation:
