Answer:
100% probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed on [0, 1000].
This means that [tex]a = 0, b = 1000[/tex]
Given that the loss in nominal dollars is greater than 200.
This means that [tex]a = 200[/tex]
Calculate the probability that the loss in nominal dollars is less than 1000
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]P(X < 1000) = \frac{1000 - 200}{1000 - 200} = 1[/tex]
100% probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.
Type the correct answer in each box. Use numerals instead of words.
Consider function h.
Answer:
33
Step-by-step explanation:
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
You find that the going rate for a home mortgage with a term of 30 years is 7% APR. The lending agency says that based on your income, your monthly payment can be at most $770. How much can you borrow? (Round your answer to the nearest cent.)
Answer:
115736.83
Step-by-step explanation:
Effective rate:
.07/12= .005833333333
[tex]770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83[/tex]
Step-by-step explanation:
Answer:
115736.83
Step-by-step explanation:
Effective rate:
.07/12= .005833333333
770(\frac{1-(1+.005833333)^{-30*12}}{.005833333333})=115736.83770(
.005833333333
1−(1+.005833333)
−30∗12
)=115736.83
Can someone help me?
Answer:
The slope is 2
Step-by-step explanation:
Slope formula:
m=(y2-y1)/(x2-x1)
Given:
y2 = -10
y1 = -6
x2 = 2
x1 = 4
Work:
m=(y2-y1)/(x2-x1)
m=(-10 + 6)/(2 - 4)
m= (-4)/(-2)
m = 2
Will mark brainlest!
formula of (x+1)cube
Answer:
(x+1)^3=x^3+3x^2+3x+1
Answer:
[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]
Step-by-step explanation:
[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]
[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]
i need help, this is for a final
Step-by-step explanation:
Since the two triangles are similar
Then the ratio of sides are equal
Then MK:ML =JH:JI
Sub in this and you will get x =64.1
Find Q
A. 40
B. 80
C. 130
D. 260
Answer:
The answer is C!!!!!!!!
What is the area of the parallelogram shown
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Answer:
60 square units
Step-by-step explanation:
The area is given by the formula ...
A = bh
The base of this parallelogram is 15 units, and its height is 4 units. The area is ...
A = (15 u)(4 u) = 60 u²
The area is 60 square units.
Angles D and G are complementary. What statement must always be true about angles D and G?
Answer:
They will never intersect. I'm pretty sure that is right
Calculator
What is M
Put your answer in the box
°
Answer:
2
Step-by-step explanation:
9m + 25m + 22 = 90
34m = 90 - 22
34m = 68
m = 68 / 34
m = 2
Answer:
m = 2
Step-by-step explanation:
GLI forms a 90 degree angle
Set your formula up as
90 = 9m + 25m + 22
90 - 22 = 34m
68 = 34m
68/34 = m
2 = m
solve the following equation algebraically please
Answer:
b. x = ±2
Step-by-step explanation:
3x² = 12
Divide both sides by 3
x² = 4
Taske the square root of both sides
x = ±2
x + 2∕5 = 1∕3 for x.
Answer:
?
Step-by-step explanation:
?
A number that has both a whole number and a fraction is called a(n)
O A) improper fraction
OB) mixed number
OC) whole fraction
OD) combined number
Answer:
mixed number <3
Step-by-step explanation:
vause it is
a walking path across a park is repersented by the equation y=-2x-7. A new path will be built perpendicular to this path the paths will intercept at the point (-2,-3) identify the equation that represents the new path
Answer:
y + 3 = (1/2)(x + 2)
Step-by-step explanation:
The slope of the original path is -2. Any new path perpendicular to this one will have a slope which is the negative reciprocal of -2, which here is 1/2.
Use the point-slope formula y - k = m(x - h):
y - (-3) = (1/2)(x - (-2)), or
y + 3 = (1/2)(x + 2) represents the new path.
Rubber balls are packaged in a box with dimensions 8.5 cm, 5 cm, 5 cm.
Each ball has a diameter of 3 cm. If there are a dozen balls in the box, how
much space in the box is not occupied by the rubber balls? Round your
answer to the nearest tenth.
Answer:
42.9 cm^3
Step-by-step explanation:
Volume of the box= (base x width x height) = 8.5 x 5 x 5 = 212.5 cm^3
Radius of a ball = 1.5 cm
Volume of a ball = 4/3 * radius^3 * pi = 4/3 x 1.5^3 x pi = 14,137167 cm^3
Volume of the balls = 14,137167 x 12 = 169,646003 cm^3
Final answer = 212.5 - 169,646003 = 42.9 cm^3
factorize,
m
[tex] {m }^{2} - 40 + 6m[/tex]
Answer:
Step-by-step explanation:
m^2-40+6m
=m^2+6m-40
=m^2-(10-4)m-40
=m^2-10m+4m-40
=m(m-10)+4(m-10)
=(m+4)(m-10)
If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?
Answer:
The value of h(g(3)) is 17.
Step-by-step explanation:
We are given these following functions:
[tex]g(x) = x^2 - 5[/tex]
[tex]h(x) = 7x - 11[/tex]
h(g(3)) ?
[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]
At x = 3
[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].
The value of h(g(3)) is 17.
I NEED THIS QUICK!!
Tanisha paid $35 for 7 movie tickets.
How much would 15 movie tickets cost?
$55
$60
$65
$75
Answer:
$75
Step-by-step explanation:
$35 for 7 tickets (5 * 7), so 15 movie tickets (15 * 7) = 75! Simple math!
PLEASE HELP !! Whoever gets it right gets brainliest
Answer:
21
Step-by-step explanation:
4x-2=3x+19
4x-3x=19+2
x=21
Answer:
x = 21
Step-by-step explanation:
These are opposite angles and are therefore equal.
Equate the two angles to solve for x.
4x-2 = 3x+19
subtract 3x-2 from either side (i.e. numbers on the left, and variables on the right)
4x-2 -(3x-2) = 3x+19 - (3x-2)
x = 21
check: 4x-2= 82, 3x+19=82, so solution is good.
A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plates from 1 to 30 on his press. If he uses x metal plates, they will produce x copies of the poster with each impression of the press. The metal plates cost $20.00 to prepare, and it costs $125.00 per hour to run the press. If the press can make 1000 impressions per hour, how many metal plates should the printer make to minimize costs
Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:
[tex]\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}[/tex]
cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:
[tex]C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)[/tex]
[tex]C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)[/tex]
At C'(x) = 0
[tex]\dfrac{12500}{x^2} = 20[/tex]
[tex]\dfrac{12500}{20} = x^2[/tex]
[tex]x^2= 625[/tex]
[tex]x = \sqrt{625}[/tex]
x = 25
[tex]C'' (x) = -12500 \times \dfrac{-2}{x^3} +0[/tex]
[tex]C'' (x) = \dfrac{25000}{x^3}[/tex]
where; x = 25
[tex]C'' (x) = \dfrac{25000}{25^3}[/tex]
C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
A) Abdul invests 400$ at 6.05% per year simple interest, calculate how much interest Abdul receives
B) Samia receives 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Answer:
$24.20
amount invested = $356
Interest = $44
Step-by-step explanation:
Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places
Simples interest = amount invested x time x interest rate
400 x 0.065 x 1 = $24.20
b. interest = amount received - amount invested
Amount invested = amount received / (1 + r)^n
r = interest rate
n = number of years
400 / (1.06)^2 = 356
Interest = 400 - 356 = $44
34/4 as mixed fraction?
Answer:
8/24
Step-by-step explanation:
Answer:
Mixed fraction: 8 1/2
Step-by-step explanation:
34/4
Divide 34/4 = 8.5
.5 = 1/2
Mixed number form: 8 1/2
solve the following equation algebraically please
Answer: A
Step-by-step explanation:
4x^2-400=0
square roots and solving quadratics
Answer:
x = ±10
Step-by-step explanation:
4x² - 400 = 0
Add 400 to both sides
4x² = 400
Divide both sides by 4
x² = 100
Take the square root of both sides
x = ±10
Solve lxl + 7 < 4.
{x l x < -11 or x > -3)
{x 1-3
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Answer:
no solution
Step-by-step explanation:
Subtracting 7 from both sides gives you ...
|x| < -3
The absolute value cannot be negative. There is no solution.
find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
.....................................:.
Answer:
..........................................................................................................................................................................
Answer:
um..BG should also be equal to 12 I guess
45 is what percent of 82
what percent of 5 is 26
Round each answer to the nearest TENTH!
HELP FINALS TODAY :(
Answer:
45 is 54.9 percent of 82.
26 is 520% of 5.
Answer:
45 is 55% of 82 and 520% of 5 is 26.
Step-by-step explanation:
First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.
Value-Mart had 2,371 customers last week. Each customer donated $2 to the food bank. How much money did Value-Mart raise for the food bank? *
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Answer:
$4,742
Step-by-step explanation:
The total of donations is the product of the number of donations and the amount of each.
(2371 customers) × ($2/customer) = $(2371×2) = $4742
Value-mart raised $4,742 for the food bank last week.
_____
You could find the total donated by adding the 2371 donations. Multiplication was invented to make repeated addition easier. When the sum consists of 2371 instances of $2, we can find the total by multiplying $2 × 2371.
which statement is true?
Answer:
The slope of function A is greater than the slope of function B
hope it is helpful to you
please i need help!!!!!!!
m∠NPQ=2×m∠NRQ
or m∠NRQ=1/2×m∠NPQ
=1/2×90
= 45
m∠NRQ=45
-----------------------hope it helps...have a great day!!