Using it's concept, it is found that the probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the coin has two outcomes, one of which is tails, while the number cube has six outcomes, one of which is five. Since the coin and the number cube are independent, we just multiply the probabilities, hence:
[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex]
The probability that the coin shows tails and he rolls a 5 is of [tex]\frac{1}{12}[/tex].
More can be learned about probabilities at https://brainly.com/question/14398287
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
I think it was the third century b.c. If not then I am sorry.
Write the following in scientific notation
Answer:
3.25 x 10^-4
Step-by-step explanation: mark brainliest
)The diameter of a cylinder is 7 yards. The height
is 12 yards. What is the volume, in terms of T and
to the nearest cubic yard, of the cylinder?
Answer: 462 yards ^3
Step-by-step explanation:
The equation for the volume of a cylinder is πr^2h
the diameter is 7 yards and the radius is just half the diameter so the radius is 3.5
the height is 12 yards
so π(3.5)^2(12) = 461.814120078 yards ^3
Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either a number or an expression) that have the following solution sets. Two solutions: x=2, x=14
Answer:
|x - 8| = 6
Step-by-step explanation:
|x - b| = c
⇒ (x - b)² = c²
Given:
x = 2x = 14Substitute the values of x into (x - b)² = c²:
(2 - b)² = c²
(14 - b)² = c²
Equate and solve for b:
(2 - b)² = (14 - b)²
⇒ 4 - 4b + b² = 196 - 28b + b²
⇒ 4 - 4b = 196 - 28b
⇒ 24b = 192
⇒ b = 8
Substitute b = 8 into the equations to find c:
x = 2 ⇒ |2 - 8| = 6
x = 14 ⇒ |14 - 8| = 6
Therefore, c = 6
Final equation: |x - 8| = 6
On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell? Help
Answer:
Step-by-step explanation:
The total amount of lemonade Regan sells is 69/16 gallons and this can be determined by using the arithmetic operations.
Given :
Mark sold 2 7/8 gallons of lemonade.
Regan sold 2/3 as much lemonade as Mark.
The following steps can be used in order to determine the total amount of lemonade Regan sells:
Step 1 - The arithmetic operations can be used in order to determine the total amount of lemonade Regan sells.
Step 2 - According to the given data, Mark sold 23/8 gallons of lemonade.
Step 3 - Let the total amount of lemonade Regan sells be 'x'.
Step 4 - So, the value of 'x' can be calculated as:
x = 23/8 × 3/2
x = 63/16
The total amount of lemonade Regan sells is 69/16 gallons.
18. Without solving the radical equation VX + 5 + 9 = 0, how could you tell that it has no real solution?
Answer:
Has two unkown variables
Step-by-step explanation:
When there is only one equation provided with two unknown variables, it is difficult to solve for the unknown variables
The most simplified version of this equation would be VX = -14
More information would be needed to solve
HELPPPP really quick
Answer:
y= 4 - 2/3 x, x= x
Step-by-step explanation: Substitute y=4 -2/3x [2x=12-3 (4-2/3x)]
Simplify: [2x=2x]
For y = 4- 2/3x
Expressing y in terms of x: y= 4 -2/3x
So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x
Please help me 3: will give brainliest
Answer: 23,187 x 2/3 < 23187 is the answer
Step-by-step explanation:
In a class, 60% of the students are boys and the rest are girls. If the number of boys is 30, how many students are there?
50 total students
20 girlsExplanation:
total students: 100%
----------------
60% → 301% → 30/601% → 0.5100% → (0.5 * 100)100% → 50number of girls:
total students - number of boys 50 - 30206|-5| - 3(2/3) + 7(-8)=
-88
-16
-28
Answer:
-28
Step-by-step explanation:
6|-5| - 3(2/3) + 7(-8)=
30 -2 -56
30 -58 = -28
CHOOSING BRAINLIEST PLEASE HELP
Answer:
i think that the correct answer would be A or C
Step-by-step explanation:
hope this helps
sorry if the answers that i gave you is incorrect
Answer:
2nd option
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{32}{64}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]
What is the slope of the line that passes through the points(1,6) and (13,2)?
Answer:
[tex]\boxed{\sf{-\dfrac{2}{3} }}[/tex]Step-by-step explanation:
Use a slope formula.
Slope formula:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]
y2=2
y1=6
x2=13
x1=1
Rewrite the problem.
[tex]\sf{\dfrac{2-6}{13-1}=\dfrac{-8}{12}=\dfrac{-8\div4}{12\div4}=\dfrac{-2}{3}=\boxed{\sf{-\dfrac{2}{3}}}[/tex]
Therefore, the slope is -2/3, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Given the definitions of f(x) and g(x) below, find the value of (g•x)(1).
=
f(x) = 3x2 + 2x - 3
g(x) = -x + 4
Step-by-step explanation:
f(x) = 3x2+2x-3
g(x) = -x+4
(g.f)(x) = g[3x2+2x-3]
= -(3x2+2x-3)+4
= -3x2-2x+3
(g.f)(1) = -3(1)2-2(1)+3
= -3-2+3
= -2
Of 500 people, 100 wear glasses.
Write the number of people who do not wear glasses as a fraction of the total number of people
Answer:
400/500 people do not wear glasses.
Step-by-step explanation:
There are a total of 500 people, 100 of those people wear glasses. 500-100=400. Therefore, 400 people do not wear glasses out of the 500 people.
Answer:
500/500-100/500=400/500
I believe it is
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8in. of the actual side length.
Answer:
And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.
Explanation:
1) Calculate the side length of the bulletin board in the shape of a square:
The area of a square is equal to the square of length of the sides
A = x²
Substitute A = 150 unit²
150 = x²
Extract square root of both sides:
2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:
Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.
Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.
Remember that multiplying by 1/8 is the same that dividing by 8.
Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.
12/8 can be simplified to 3/2 and 11/8 is in its simplest form.
Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.
Step-by-step explanation:
hope this helps if does mark brainllest pls! :)
Area:-150sq units
Side be aNow
a²=150a=√150a=√2×3×5×5a=5√6Now
Scale factor=1/8So
new side length:-
1/8(5√6)5/8√6Find the missing number
PLEASE HELP BRAINLIEST AND 10 POINTS
A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2’ at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?
47 lbs
hope this helps
a water tank holds 256 gallons but is leaking at 3 gallons per week. A second water tank holds 384 gallons but is leaking at a rate of 5 gallons per week . After how many weeks will the amount of water in the two tanks be the same
the two tanks wi equal 64
x=64
Answer:
w = 64 weeks
Step-by-step explanation:
From the information, we have two equations that we will need to set equal to each other to find the number of weeks, w, it takes for both tanks to hold the same amount:
[tex]-3w+256=-5w+384\\(-3w+256=-5w+384)-256\\(-3w=-5w+128)+5w\\(2w=128) /2\\w=64[/tex]
manatees are large, gentle, slow-moving sea creatures found along the coast of florida. many manatees are injured or killed by boats. here is a scatterplot showing the relationship between the number of boats registered in florida (in thlusands) and the number of manatees killed by boats for the years 1977 to 2015. is r>0 or r<0? closer to r=0 or r=+- 1? explain your reasoing
Using correlation coefficients, it is found that the value of r is greater than 0 and close to 1, as the scatter-plot is increasing linearly.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.Researching the problem on the internet, it is found that the relation is modeled by an increasing scatter-plot, hence r > 0. There are very few points in which there are oscillations, which indicate a strong relationship, hence r is closer to 1.
More can be learned about correlation coefficients at https://brainly.com/question/25815006
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The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
6
75
2
80
9
85
3
90
1
95
6
100
8
Answer:
85.3
Step-by-step explanation:
The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.
Plsss answer as fast as possible! IMPORTANT
Step-by-step explanation:
Attached picture might help you out
PLEASE ANSWER ASAP WILL REWARD!
Find the formula for an inverse proportion, knowing that its
graph goes through the point:
C(-25, -0.2)
The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.
What is inversely proportional relationship?Let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The formula for the inverse function is given as,
[tex]y=\dfrac{c}{x}[/tex]
Here, c is constant.
The graph goes through the point: C(-25, -0.2). For the inverse function.
[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]
Put the value in the above function,
[tex]y=\dfrac{5}{x}[/tex]
This is the required function.
Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.
Learn more about inversely proportional relationship variable here:
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The expression 2(x2 - 4) – (x2 - 8x + 12) is equivalent to
-
A.
x2 - 8x + 4
B.
x2 + 8x - 4
С.
x2
- 8x + 20
D.
x2 + 8x - 20
Answer:
D
Step-by-step explanation:
P(x) = 4x^3 - 6x^2 + ax – 2. Find a If P(3) = 2.
[tex]P(x)=4x^3-6x^2+ax-2\\\\P(3)=2\\\\\implies 4\cdot 3^3-6 \cdot 3^2 +3a-2=2\\\\\implies 108-54-4 +3a=0\\\\\implies 50+3a=0\\\\\implies a = -\dfrac{50}3[/tex]
Answer:
The value of a = -16.6.... or -16.7
Step-by-step explanation:
Given :
P(3) = 2
P(x) = 4x^3 - 6x^2 + ax – 2
=> 2 = 4(3)³ - 6(3)² + a(3) -2
=> 2 = 4(27) - 6(9) +3a - 2
=> 2+2 = 108 - 54 +3a
=> 4 = 54 + 3a
=> 4-54 = 3a
=> -50 = 3a
=> -50/3 = a
=> a = -16.6.... or -16.7
The side lengths of three triangles are shown in the table. Which of the triangles is a right triangle? Select all that apply. Triangle Side Lengths | 610 810 1 || 7 7 13 ||| 313 413 513 A. Triangle I B. Triangle II C. Triangle III D. None of the above E. All of the above
To identify whether or not a triangle is a right triangle, it must satisfy the pythagorean theorem : [tex]a^{2}+ b^{2} =c^{2}[/tex] (where a;b;c represent the 3 sides, and c being the hypotenuse)
Replace the lengths :
Triangle 1 : [tex]1^{2} + 610^{2} \neq 810^{2}[/tex] (not right triangle, also does not satisfy the triangle inequality, so not a real triangle)
Triangle 2 : [tex]7^{2} + 7^{2} \neq 13^{2}[/tex] (not right triangle)
Triangle 3 : [tex]313^{2} + 413^{2} \neq 513^{2}[/tex] (not right triangle)
So, correct answer is D
Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save
Answer:
$92
Step-by-step explanation:
write a function that represents the number of emergency responses professionals in the town in terms of the towns total population
The exponential growth function will be: y = 4000(1 + 0.04)⁴
How to solve Exponential growth unctions?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
We are given;,
Initial population = 4000
Rate of increase = 4%
Let current population be p.
Let number of years passed be t.
Thus, the exponential growth function will be:
y = 4000(1 + 0.04)⁴
Complete question is;
A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.
Read more about Exponential Growth Functions at; https://brainly.com/question/27161222
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Answer:
number of emergency response professionals = 3% of population
e = 0.03p
e is a function of p
e(p) = 0.03p
Step-by-step explanation:
edumentum
Rules for basic algebra needed
To buy an article marked Rs. 20,000, we get a discount of 15% and have to pay the value added tax (VAT) at the rate of 13%. How much value added tax amount we have to pay to buy that article ?
Answer:
Based on the given conditions, formulate:: 13%×20000×(1−15%)
Calculate the sum or difference: 0.13×20000×0.85
Calculate the product or quotient: 2210
Jim builds a robot that travels no more than 11 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 26 feet in 3 minutes?
Answer:
the robot can travel 26 feet in 3 minutes
Step-by-step explanation:
The robot goes 11 feet per minute and 11 x 3 equals 33 which is more than 26. 33 < 26
