The answer will be 27/35
Step-by-step explanation:Probability is the number of outcomes out of total outcomes present or the extent to which something is likely to happen. In the given problem there are two dices which means there are total 36 outcomes because each dice has 6 sides. So the probability of the given case will be
Probability of getting two doubles on both dice = 1/36
Probability of getting just one double = 5/36
Similarly
Probability of getting no doubles on both dice is = 5/6.
So in order to find the probability we add the products of the probabilities and solve:
12/36 + 5*(3-x)/36 - 5*x/6 = 0
x = 27/35
Which simply means the player should lose 27/35 points for not rolling a double.
help!!!!!!! please !!!!!!!
If 1 inch represents 75 miles on a map, then how many inches will represent 1500 miles? a. 10 c. 12 b. 20 d. 14
Help please, explain each step or no points.
What is the graph of the function f(x) = the quantity of x plus 4, all over x plus 6?
Samuel paid $720 for a new music system. The list price for the music system was $800. What was his rate of discount?
Answer:
His rate of discount=10%
Step-by-step explanation:
Step 1: Get the discount amount
Discount amount=List price-sale price
where;
List price=$800
Sale price=$720
replacing;
Discount amount=(800-720)=80
Discount amount=$80
Step 2: Calculate discount rate
The discount rate can be calculated as;
discount rate=(discount/List price)×100
where;
discount=$80
List price=$800
replacing;
discount rate=(80/800)×100=10%
discount rate=10%
1. Let f(x)=8/1+3e^−0.7x. What is the value of f (−3)?
2. Let f(x)=20/1+9e^3x. What is the y-intercept of the graph of f(x)?
3. Let f(x)=24/1+3e^−1.3x. What are the asymptotes of the graph of f(x)?
4. Let f(x)=15/1+4e^−0.2x. What is the point of maximum growth rate for the logistic function f(x)?
5. Let f(x)=24/1+3e^−1.3x. Over what interval is the growth rate of the function decreasing?
This detailed answer covers evaluating functions at specified values, identifying the y-intercept of a function's graph, determining asymptotes, identifying points of maximum growth rate in logistic functions, and intervals where the function's growth rate is decreasing, all critical concepts in understanding mathematical functions in high school.
Explanation:The questions provided are focused on evaluating specific values of functions, understanding the y-intercept of a graph, determining asymptotes, identifying points of maximum growth rate, and assessing intervals of decreasing growth rate for various exponential and logistic functions. Each of these concepts plays a crucial role in understanding the behaviors and characteristics of different types of mathematical functions, which are fundamental in high school mathematics.
To find f(-3) for the function f(x)=8/(1+3e^{-0.7x}), substitute x=-3 and evaluate.The y-intercept of a graph is found by evaluating the function at x=0.Asymptotes can be determined by evaluating the limits of the function as x approaches infinity or negative infinity.The point of maximum growth rate for a logistic function occurs at the point where the function's second derivative changes sign.The growth rate is decreasing over intervals where the second derivative of the function is negative.
What is the inverse of f(x) = 8x - 7
The inverse of the function f(x) = 8x - 7 can be found by switching the x and y, then solving for y. This gives the inverse function as f^-1(x) = (x + 7) / 8.
Explanation:The inverse of a function is calculated by switching the input and output variables. Given your question, we are to find the inverse of the function f(x) = 8x - 7. To do this, we first rename f(x) as y, giving us y = 8x - 7.
Next, we switch the positions of x and y, leading to x = 8y - 7. Then, to isolate y which represents the inverse function, we should solve the equation for y: x + 7 = 8y and y = (x + 7) / 8. So, the inverse of the function f(x) = 8x - 7 is f^-1(x) = (x + 7) / 8.
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Great Dish believes that it will need new equipment in 8 years. The equipment will cost $26,000. What lump sum should be invested today at 12%, compounded semiannually, to yield $26,000? a. $20,186.02 c. $16,388.00 b. $16,145.82 d. $10,234.80
Answer:
d. $10,234.80
Step-by-step explanation:
we are given
The equipment will cost $26,000
so, Amount is $26000
A=26000
should be invested today at 12%
r=12%=0.12
It is compounded semiannually
so, n=2
t=8
now, we can use formula
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
now, we can plug values
[tex]26000=P(1+\frac{0.12}{2})^{2\times 8}[/tex]
now, we can solve for P
[tex]P=10234.80338[/tex]
Elaine bought a total of 15 shirts and pairs of pants she bought 7 more shirts than the pants how many of each did she buy
Which statement below completes Anastasia's proof?
In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are congruent)
In triangle ADC and BCD, AB = DC (opposite sides of a rectangle are parallel)
In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent)
In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are parallel)
are the statments
A system of inequalities is graphed below. The variable x represents the number of cans someone is buying, and y represents the number of bottles. Conditions on the maximum amount of total weight and volume lead to two of the inequalities.
Which descriptions correspond to solutions of this system?
7 cans and 140 bottles
12 cans and 40 bottles
8 cans and 120 bottles
9 cans and 70 bottles
Answer ASAP
Find the area
In this problem, you are asked to find the area of the trapezoid. The formula in finding the area of the trapezoid is:
A = [(a + b)/2] x h
Where a = base 1
b = base 2
h = height
Substituting the given measurements to the formula:
A = [(1.7 m + 6.7 m) / 2] x 5 m
A = (8.4 m / 2) x 5 m
A = 4.2 m x 5 m
A = 21 m^2
Therefore, the area of the trapezoid is 21 square meters.
Glamour runs 2/3 mile each day she wants to know how many days she has to run before she has run a whole number of miles
Select the ratios whose simplest form is 8/7
Answer:
48:42
16:14
56:49
Step-by-step explanation:
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Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach into the drawer in the dark and randomly pick out 2 pairs for your business trip. what is the probability your pick out in this order. 2 black pairs?
The probability your pick out in this order 2 black pairs 1/26.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Mathematics to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory.
According to the question,
The sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks.
All socks together = 3+4+5 = 13
Black socks = 3
Probability to pick out black socks: 3/13
After one pick out (You picked out a pair of black socks),
Probability to pick out black socks: 2/12
Then, the probability = 2/12 × 3/13 = 1/26.
Hence the required probability = 2/12 × 3/13 = 1/26.
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An explosion causes debris to rise vertically with an initial velocity of 160 feet per second. What is the speed of debris when the height is 300 feet?
I am using the formula: -16t^2 + vot + h0 because the question is referring to feet.
The speed of the debris is 79.4 ft/s
Calculation of the speed:Since there is an initial velocity of 160 feet per second, height is 300feet
So, we applied the below formula
[tex]v_({final})^2 = v_({initial})^2 + 2ah\\\\ v_({fina})l^2 = (160 ft/s)^2 + 2(-32.15 ft/s^2)(300 ft)\\\\ = 6310 ft^2/s^2\\\\ = (6310 ft^2/s^2)^{1/2}\\\\ = 79.4 ft/s.[/tex]
Therefore, The speed of the debris is 79.4 ft/s
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Which of the following will typically offer the lowest interest rate?
A. Basic savings
B. Certificate of deposit
C. Savings bond
D. Money market savings
@countonme123 @sara17,
Robin bought a computer for $1,250. It will depreciate, or decrease in value, by 10% each year that she owns it.
a) Is the sequence formed by the value at the beginning of each year arithmetic, geometric, or neither? Explain.
b) Write an explicit formula to represent the sequence.
c) Find the value of the computer at the beginning of the 6th year.
We want to answer different things about an exponential decay, the answers are:
a) Geometric.b) [tex]A_n = (0.9)^{n-1}*1250[/tex]c) $738.10.So we know that the original price of the computer is $1250 and the value decays by 10% each year.
So in year 1, the new value of the computer will be:
V = $1250*(1 - 0.1) = $1250*0.9
On year 2, the new value will be:
V = ( $1250*0.9)*0.9 = $1250*(0.9)^2
And so on.
a) This sequence is a geometric sequence because each term is a constant times the previous term, where the constant is 0.9.
[tex]A_1 = 1250\\A_2 = 0.9*1250 = 1125\\A_3 = 0.9^2*1250 = 0.9*1125 = 1012.5 \\...[/tex]
b) The explicit formula for a geometric sequence is:
[tex]A_n = k^{n-1}*A_1[/tex]
where:
k is the constant, in this case, is 0.9
A1 is the first term of the sequence, in this case, is 1250
Then we have:
[tex]A_n = (0.9)^{n-1}*1250[/tex]
c) Here we just need to replace n by 6 in the above formula:
[tex]A_6 = (0.9)^5*1250 = 738.1125[/tex]
This means that the price of the computer in the 6th year is $738.10
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Will give Metal! From 1948 to 1994, South Africa existed under a system of apartheid. Under this system, white South Africans- about 18% of the population- controlled all of the instruments of government: the Parliament, the Executive Branch, and the courts. Black and non-white South Africans had few legal rights and could not vote in elections. Voting was limited to white South African citizens. . This passage is describing what type of government? A) autocratic B) democratic C) dictatorship D) oligarchic,
Tropical forests are being lost at the rate of 5 million hectares per year. how many hectares per day is that? how many hectares per minute?
Chloe’s 5 ft 4 inches tall. There are 2.54 centimeters in 1 inch . What is Chloe’s height in centimeters ?
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On each of 3 days Derrick rode 6.45 km to school 150 meters to the library and then 500 m back home how many km did he ride for the three days all together
If mike drank more than half the juice inhis glass.what fraction of the juice could mike have drunk.
Use 3.14 for the radius to estimate the area of a circle the diameter is given round your answer to the nearest hundredth if necessary.
solving the whole thing
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
14ich long 9inch wide half of shape with dotted line
solve for X
This is 10th grade Geometery (USA)
Use substitution to write an equivalent quadratic equation.
(3x + 2)2 + 7(3x + 2) – 8 = 0
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points)