Responda:
P (verde) = 8/15
P (vermelho) = 1/3
P (azul)). 2/15
P (verde ou azul) = 2/3
P (não verde) = 7/15
Explicação passo a passo:
Dado o seguinte:
Número de bolas verdes = 8
Número de bolas vermelhas = 5
Número de bolas azuis = 2
N (verde) = 8
N (vermelho) = 5
N (azul) = 2
Portanto, número total de bolas;
N (total) = 8 + 5 + 2 = 15
Probabilidade = número de resultados requeridos / Total de resultados possíveis
1.) Probabilidade de escolher uma bola verde:
P (verde) = número de bolas verdes / número total de bolas
P (verde) = 8/15
2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas
P (vermelho) = 5/15 = 1/3
3) Probabilidade de pegar uma bola azul:
P (azul) = número de bolas azuis / número total de bolas
P (azul) = 2/15
4) probabilidade de verde ou azul:
P (verde ou azul) = P (verde) + p (azul)
P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3
P (não verde) = 1 - P (verde)
P (não verde) = 1-8/15
P (não verde) = 7/15
If the number of bacteria in a colony doubles every 10 hours and there is currently a population of 300 bacteria, what will the population be 20 hours from now?
Answer:
1200 bacteria
Step-by-step explanation:
20 hours divided by 10 hours = 2, so it will be doubled two times.
300 times 2 for the first doubling = 600
600 times 2 for the second doubling = 1200
What is the domain of this function?
{x|x >0}
{x|x <8)
{x|0
{xlx < 0x8}
Answer:
x≥0, or x=[0,∞)
Step-by-step explanation:
Domain is values of x.
x≥0, or x=[0,∞)
I need help on this problem plz
Answer:
needddd
Step-by-step explanation:
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]
Square all the integers from 1 to 10 inclusive. Then, round each number to the nearest hundred. Finally, sum the numbers. What do you get?
Answer:
22.467
Step-by-step explanation:
Hello,
You just have to do the computation in XL or using a calculator, and round each number to the nearest hundred
x sqrt(x)
1 1
2 1.414
3 1.732
4 2
5 2.236
6 2.449
7 2.646
8 2.828
9 3
10 3.162
and do the sum which is 22.467
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
300
Step-by-step explanation:
First let's square all the integers from 1 to 10 inclusive. We get:
1^2 = 1
2^2 = 4
3^2 = 9
4^2 = 16
5^2 = 25
6^2 = 36
7^2 = 49
8^2 = 64
9^2 = 81
10^2 = 100.
Rounding to the nearest hundred, we get that 1, 4, 9, 16, 36, and 49 all round to 0 and 64, 81, and 100 round to 100.
Therefore, we obtain
0+0+0+0+0+0+0+100+100+100,
or 300.
A Rosa le gusta jugar con su primo Eduardo utilizando números. Rosa le planteó encontrar dos números que sumados den 15 y que el doble de uno de ellos sea igual al otro más 3 unidades, ¿De qué números se trata?
Answer:
Los números son 6 y 9
Step-by-step explanation:
Este problema se puede resolver por medio de un sistema de ecuaciones.
El primer número será x y el segundo número será y.
Sabemos que los dos números suman 15, por lo tanto esto se puede escribir como:
[tex]x+y=15[/tex]
Por otro lado sabemos que el doble de uno de ellos es igual al otro más 3 unidades, esto lo podemos escribir de la siguiente manera:
[tex]2x=y+3[/tex] (el doble del primero es igual al segundo más 3)
Reescribiendo esta segunda ecuación tenemos:
[tex]2x-y=3[/tex]
Por lo tanto, nuestras dos ecuaciones son:
[tex]x+y=15\\2x-y=3[/tex]
Resolviendo el sistema por el método de reducción observamos que, si sumamos ambas ecuaciones, las y se cancelan y quedamos con:
[tex]3x=18\\x=6[/tex]
Ahora, sustituimos este valor en la primera ecuación para obtener el valor de y:
[tex]x+y=15\\6+y=15\\y=15-6\\y=9[/tex]
Por lo tanto, los números son 6 y 9
Por medio de un sistema de ecuaciones, hay qué los números son 6 y 9.
Los números son desconocidos, por lo tanto, llaremos un de x, otro de y.Los números sumados den 15, o sea:
[tex]x + y = 15[/tex]
El doble de uno de ellos sea igual al otro más 3 unidades, o sea:
[tex]2x = y + 3[/tex]
[tex]y = 2x - 3[/tex]
Reemplazando en la primera ecuación:
[tex]x + y = 15[/tex]
[tex]x + 2x - 3 = 15[/tex]
[tex]3x = 18[/tex]
[tex]x = \frac{18}{3}[/tex]
[tex]x = 6[/tex]
[tex]y = 2x - 3 = 2(6) - 3 = 12 - 3 = 9[/tex]
Los números son 6 y 9.
Un problema similar es dado en https://brainly.com/question/24646137
: An Australian man on holiday in Germany finds that his wallet
contains 700 AUD. If he changes the money at a bank how
many euros will he receive?
Answer:
700 AUD ⇒ 430.72 euros
Hope this helps.
a:b=7.2 how many times larger is a than b?
Answer:
A = 3.5x larger
Step-by-step explanation:
7 ÷ 2 = 3.5
Hope this helped! :)
Answer:
a is 3.5 times larger than b
Step-by-step explanation:
If a:b is 7:2 and 7/2 = 3.5, then a is 3.5 times larger than b
which of the following shows the polynomial below written in descending order?
Answer:
A
Step-by-step explanation:
Descending order is where the monomials of a polynomial are arranged in decreasing exponent order so the answer is A.
Answer:
the answer is option a because all the expression in option a is written descending power form.
Which of the following functions is graphed below?
8
84
4.
24
-8
2
4
8
8
12
-2
4
-6+
-87
Answer:
Step-by-step explanation:-
-
-8239910.76
There are only green pens and red pens in a box. there are 3 more red pens than green pens in the box. sheila is going to take at random two pens from the box the probability that sheila will take two pens of the same color is 17/35 work out two different numbers of green pens that could be in the box
Answer: 6 or 9
Step-by-step explanation:
Given the following :
Let the number of green pens = x
Number of red pens = x + 3
Probability of picking same color = 17/35
Taking two pens at random; probability of picking two pens of same color.
Probability of picking red on first pick then red on second pick ; or picking blue on first pick then blue on second pick
Probability = (Required outcome / Total possible outcomes)
Total number of pens = x + x + 3 = 2x + 3
Probability of picking red then red:
P(red first) = (x+3)/2x+3
P(red second) = x+3-1 / 2x+3-1 = (x+2)/2x+2)
Therefore, probability of red then red =
(x+3)/(2x+3) × (x+2)/2x+2)
= (x+3)(x+2) / (2x+3)(2x+2)
Probability of green then green:
P(first green) = x/(2x+3)
P(second green) = (x-1) / (2x+3-1) = (x-1) / (2x+2)
P(green then green) = x(x-1)/(2x+3)(2x+2)
Therefore,
[(x+3)(x+2) / (2x+3)(2x+2)] + [x(x-1)/(2x+3)(2x+2)] = 17/35
(x+3)(x+2)+x(x-1) / (2x+3)(2x+2) = 17/35
Cross multiply :
35(x+3)(x+2)+x(x-1) = 17(2x+3)(2x+2)
35(2x^2 + 4x + 6) = 17(4x^2 + 10x + 6)
70x^2 + 140x + 210 = 68x^2 + 170x + 102
70x^2 - 68x^2 + 140x - 170x + 210 - 102 = 0
2x^2 - 30x + 108 = 0
Now we have a quadratic equation which can be factoeized used using any known factorization method.
Factorizing this, we get
(x-6) = 0 or (x-9) = 0
x = 6 or x = 9
In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
which shape is a parallelogram?
Answer:
A,C,and D are parralelograms
The parallelogram are shapes with figures having opposite sides which are parallel
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The sum of angles of a parallelogram is 360°
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , from the figure 1
a)
The figure is having opposite sides are parallel
where AB = CD
And , BC = AD
So , it is a parallelogram
b)
The figure does not have any sides parallel
So , it is not a parallelogram
c)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
d)
The shape is having 2 sides as parallel
And , AB = CD
So , it is a parallelogram
Hence , the parallelogram is solved
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Find the length of side a
Answer:
a = 8.
Step-by-step explanation:
a^2 + b^2 = c^2
b = 6; c = 10
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = plus or minus 8
Since side lengths can't be negative, a = 8.
Hope this helps!
A top view of two walls of a room is represented by the x and y-axis, with units in meters. A ball is rolled from the point (0,15). It hits the adjacent wall at (20,0). Find the absolute value function that models the path of the ball. Determine when the ball passes within 3 meters of the wall represented by the x-axis.
Answer:
The absolute value function that models the path of the ball is
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]
Step-by-step explanation:
Given that the ball rolls without other external influences, we have;
(y - 0) = (x - 15)
The slope, m is give by the relation;
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 0)/(0-20) = -3/4
The equation of the path of the ball in slope and intercept form is presented as follows;
y = m·x + c
15 = -3/4 ×0 + c = 15
c = 15
The absolute value function that models the path of the ball is then;
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The vale of the function when x = 3 is given by the relation
[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]
Therefore, we have the coordinates as [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].
What is the answer please help! make sure to explain. thanks!! Mrs. Anderton is giving a test in her third-period class. She has decided to record the amount of time that each student takes to finish the test (in minutes) and compare that to the grade each student receives on the test (out of 100). A plot of her results is below. Which of the following does this situation represent? A. both a relation and a function B. a function only C. neither a relation nor a function D. a relation only
Answer:
A
achievements
Step-by-step explanation:
The sum of digits in two-digit number is 13. If the place values of the digits are reversed, the new number is 27 more than the original number. Find the original number.
Answer: 58
Step-by-step explanation:
The sum of the two digit number is 13. On reversing its digits the new number is 27 more than the original number find the number?
Let's set up a system with two variables: x = tens place of our answer, y = units place of our answer.
Digit sum of a two digit number is 6:
x+y=13
Reverse the digits and you get 27 more than the original value:
10y+x=10x+y+27
Now let's solve:
y=13-x
10(13-x)+x=10x+(13-x)+27
130-10x+x=130x-10x + 27
130-9x=9x+40
-90=18x
x=5
y=13-5
y=8
So our original number was 58. Sum of digits is 13. Swap the order of the digits to make 85, and you have a number 27 more than the original number.
The value of original number is, 58.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The sum of digits in two-digit number is 13.
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
Now, Let the one's place digit is y and the ten's place is x of the original number.
Then, We get;
⇒ x + y = 13 .. (i)
And, If the place values of the digits are reversed, the new number is 27 more than the original number.
So, We get;
⇒ 10y + x = 27 + 10x + y
⇒ 10y - y + x - 10x = 27
⇒ 9y - 9x = 27
⇒ y - x = 3
⇒ y = x + 3 ... (ii)
Substitute the value of y from (ii) in (i), we get;
⇒ x + y = 13
⇒ x + x + 3 = 13
⇒ 2x = 13 - 3
⇒ 2x= 10
⇒ x = 5
And, From (ii);
⇒ y = x + 3
⇒ y = 5 + 3
⇒ y = 8
Thus, The original number is,
⇒ 10x + y = 10 × 5 + 8
= 50 + 8
= 58
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1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0 What does a equal?
Answer:
a = -50/51
Step-by-step explanation:
1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0
1 + 3 + 5 + ... + 99 + 2a + 4a + ... + 98a + 100a = 0 Eq. 1
99 + 97 + 95 + ... + 1 + 98a + 96a + ... + 4a + 2a = 0 Eq. 2
Add Eq. 1 and Eq. 2
100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0
50(100)/2 + 50(102a)/2 = 0
2500 + 2550a = 0
2550a = -2500
a = -2500/2550
a = -250/255
a = -50/51
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1²+3
Step-by-step explanation:
I'm not to sure I hope this helped.
Help please on linear math
Answer:
D
Step-by-step explanation:
[tex]y=\frac{-9x-5}{-8}[/tex]
factoring out a negative[tex]y=\frac{9x+5}{8}[/tex]
Answer:
[tex] \frac{5}{8} [/tex]Option D is the correct option.
Step-by-step explanation:
Given that
9x - 8y = 0
finding y-intercept
put x = 0 , we get
9(0) - 8y + 5 = 0
Calculate the product
-8y + 5 = 0
Move the constant to L.H.S and change its sign
-8y = 0 - 5
Calculate the difference
-8y = -5
divide both sides of the equation by -8
-8y/-8 = -5/-8
Calculate
y = 5/8
Hope this helps...
Good luck on your assignment...
What is the ratio of the Volume of the smaller pyramid to the larger pyramid
At which root does the graph of f(x) = (x + 4) 6(x + 7)5 cross the x-axis?
-7
4
4
07
Answer:
-7 and -4
Step-by-step explanation:
The graph of the function f(x) = (x + 4)⁶ (x + 7)⁵ cross the X axis at x = -4 and x = -7.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given is a function,
f(x) = (x + 4)⁶ (x + 7)⁵
When the function cross the X axis, the value of the function will be 0.
Let f(x) = 0
(x + 4)⁶ (x + 7)⁵ = 0
This implies that, either x + 4 = 0 or x + 7 = 0
x + 4 = 0 ⇒ x = -4
x + 7 = 0 ⇒ x = -7
Hence the roots are -4 and -7 where the function crosses the X axis.
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question 1: 5 1/8 is 2/3 of what number?
question 2: what fraction of 9 3/8 is 4 3/8?
Answer:
1) [tex]7 \frac{11}{16} [/tex]
2) [tex] \frac{7}{15} [/tex]
Step-by-step explanation:
1) Let's convert the mixed fraction into a improper fraction.
[tex]5\frac{1}{8} \\ = \frac{5(8) + 1}{8} \\ = \frac{41}{8} [/tex]
Let the number be x.
[tex] \frac{2}{3} x = \frac{41}{8} \\ x = \frac{41}{8} \div \frac{2}{3} \\ x = \frac{41}{8} \times \frac{3}{2} \\ x = \frac{123}{6} \\ x = 7 \frac{11}{16} [/tex]
2)[tex]4 \frac{3}{8} = \frac{35}{8} [/tex]
[tex]9 \frac{3}{8} = \frac{75}{8} [/tex]
[tex]4 \frac{3}{8} \div 9 \frac{3}{8} \\ = \frac{35}{8} \div \frac{75}{8} \\ = \frac{35}{8} \times \frac{8}{75} \\ = \frac{7}{15} [/tex]
1. The perimeter of the given triangle PQR is
cm
P
7cm
3cm
R
4cm
O 16
28
26
65
Answer:
No, it is not possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm because here we see that sum of the lengths of two sides is equal to third side i.e., 4+3 = 7. As we know that, the sum of any two sides of a triangle is greater than its third side, so given statement is not correct.
Step-by-step explanation:
If Manuel does a job in 150 hours and with the help of Shantel they can do it together in 50 hours, how long would it take Shantel to do it alone? _______ hours
WILL GIVE BRAINLIEST THANKS AND 5 STARS... PLZ HELP
Answer:
507x223 is greater than 530 x 200
914x385 is less than 900 x 400
Please help me if you can thanks
Step-by-step explanation:
a, 3
b,
draw lines through the corresponding corners of each shape These lines will cross at the centre of enlargement O
Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold. The researchers reported that the answers to this question were strongly right-skewed. The 95% confidence interval (6.9, 8.2) they obtained is
Answer:
The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".
Option B from the complete Question.
Step-by-step explanation:
Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.
Standard error of the mean = σₓ = (σ/√n)
σ = standard deviation of the sample
n = sample size
Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]
So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".
Hope this Helps!!!
The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?
Answer:
Maximum = 756
Minimum = 600
Step-by-step explanation:
A square is a shape that has the large areas of a defined perimeter out of available rectangles. It implies they want the two parentheses to be as similar in value. as a result, to establish the maximum value of P.
And to establish the minimum value, to have the greatest difference for them. 1 + 2 + 3 ... +10=55, which wasn't even but which can be split as similarly as possible into 27 and 28 which have a product of 756. In this question it can be done in a variety of ways, one of which is:
(1 + 3 + 5 + 8 + 10) × (2 + 4 + 6 + 7 + 9) = 756
At the very least, the biggest difference can be created if one term is made of the smallest numbers, while the other full of the highest, or:
(1 + 2 + 3 + 4 + 5) × (6 + 7 + 8 + 9 + 10)=600
A trapezoid has a base length of 22 cm and a mid-segment length of 23 cm. What is the length of the other
base?
24 cm
26 cm
22 cm
28 cm
Answer:
24 cm
Step-by-step explanation:
Let the length of other base be x cm
Therefore, by mid segment formula of a trapezoid, we have:
[tex]23 = \frac{1}{2} (x + 22) \\ \\ 23 \times 2 = x + 22 \\ 46 = x + 22 \\ 46 - 22 = x \\ x = 24 \: cm[/tex]