Answer:
4 monetary units
Step-by-step explanation:
In a Poisson distribution, the expected value of the distribution is the same as the mean:
[tex]E(X)=\mu=4\ claims[/tex]
The expected number of warranty claims is 4.
Since each claim results in a payment of 1, the expected value paid by the insurer is:
[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]
The expected total payment on warranty claims is 4 monetary units.
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. (4 points) Part B: Make tables to find the solution to 2−x = 4x + 3. Take the integer values of x only between −3 and 3. (4 points) Part C: How can you solve the equation 2−x = 4x + 3 graphically? (2 points) PLez Answer 50 points
Answer:
Step-by-step explanation:
Part A:
We have two lines: y = 2 - x and y = 4x + 3 . Given two equations that are both required to be true. The answer is the points where the lines cross, this means we have to make the equations equal to each other. It will look like this:
2 - x = 4x + 3
Part B:
In order to solve the equation we need to put the like terms together. So we will add x on each side.
2 - x = 4x + 3
+x +x
So now we get:
2 = 5x + 3
Now that x is on one side and is positive we will move 3 on the left side by subtracting it from each side.
2 = 5x + 3
-3 -3
So now we get:
-1 = 5x
Now that the like terms have been combined we need to find out what x alone is so we divide 5 on each side:
[tex]\frac{-1}{5}[/tex] = [tex]\frac{5x}{5}[/tex]
No we see that:
x = [tex]-\frac{1}{5}[/tex]
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40
Answer:
The answer is option A. 18Step-by-step explanation:
Area of a trapezoid = 1/2(a + b) × h
where
h is the height
a and b are the other sides
From the question
h = 3 feet
a = 5 feet
b = 7 feet
Area = 1/2(5+7) × 3
= 1/2 ( 12) × 3
= 6 × 3
The answer is
= 18
Hope this helps you.
Consider the following expression and the simplified expression. Expression Simplified Expression 3 x squared + 5 y squared box + 3 box + 4 y squared + 6 9 x squared minus y squared + 9 Which terms could be in the boxes to make the expressions equivalent? Positive 6 x squared and Negative 6 y squared Positive 6 x squared and Negative 10 y squared Positive 9 x squared and Negative 10 y squared Positive 9 x squared and Negative 6 y squared
Answer:
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
Step-by-step explanation:
We are given the term:
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]
We have to fill in to the empty spaces such that the above equation gets satisfied.
First of all, let us simplify the LHS (Left Hand Side):
[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]
Now, let us equate the LHS and RHS (Right Hand Side):
[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]
Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:
One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]
Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]
The correct answer is:
[tex]+6x^{2}\\-9y^2[/tex]
So, if we fill the boxes with above values, the expression will be simplified as given.
Answer:
The correct answer is B. Positive 6 x squared and Negative 10 y squared
Step-by-step explanation:
explain how to solve 2x+9=15
Answer:
I hope it will help you :)
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
What does x(x - 2) equal?
Answer:
x^2 - 2x
Step-by-step explanation:
Distribute the x to every term in the parenthesis.
Answer:
x^2 -2x
Step-by-step explanation:
x(x - 2)
Distribute
x*x - 2*x
x^2 -2x
A football field is a rectangle 48m wide and 91m long. The coach asks players to run diagonally across the field. How far did the players run?
Answer:
102.88 m
Step-by-step explanation:
Pythagorean Theorem:
a²+b²=c²
48²+91²=c²
2304+8281=10585
c²=10585
Square both sides
c= 102.88
How far the players ran:
102.88 m