Brainliest if the answer is right.
There are only blue balls, red balls and yellow balls in a bag.
The ratio of blue balls to red balls is 2:1.
The ratio of blue balls to yellow balls is 1:3.
Calculate the probability that a ball selected at random is blue.

Answer:

Each additional cup is 1 centimeter.

Step-by-step explanation:

We know this because we can see the height on the graph. For each number of cups increased (y-axis), 1 centimeter in height increases as well.

Therefore, we can say that each additional cup is 1 centimeter.

The equation that correctly shows the absolute value of -8 is |-8|= 8. Option C

Absolute value can be defined as the value of a number irrespective of its distance from zero on the number line.

It is represented with the symbol, " | | "

Irrespective of the direction of the number or the value from zero, it is the same.

Absolute value must be a positive value

Example: The absolute value of -2 is 2

From the information given, we have;

The absolute of -8

|-8| = 8

Hence, the value is 8

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

__

  \(T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)\)

  k

  T(4)

Filling in the given numbers, we have ...

  185 = 68 +(208 -68)e^(-k·3)

  117/140 = e^(-3k) . . . . . subtract 68, divide by 140

  ln(117/140) = -3k . . . . . . take natural logarithms

  k = ln(117/140)/-3 ≈ 0.060

__

The temperature after 4 minutes is about ...

  T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

  T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

Answer:

7 = 6

Step-by-step explanation:

\( \frac{5}{6} + \frac{3}{2} = 2\)

\( \frac{5 + 9}{6} = \frac{14}{6} = \frac{7}{3} \)

\( \frac{7}{ 3} = 2 \\ = \frac{7}{3} = \frac{2}{1} \\ = 7 \times 1 = 2 \times 3 \\ 7 = 2 \times 3 \\ 7 = 6\)

\( = 7 = 6\)

Answer:

Step-by-step explanation:

The triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side:

The range of the value of x:

The range of possible lengths for the third side of an A-frame restaurant shaped as a triangle with side lengths of 20 m and 30 m is x < 50.

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. So, for an A-frame restaurant shaped as a triangle with side lengths of 20 m and 30 m, the possible range of lengths for the third side (x) can be found by the following inequality:

20 + 30 > x

Simplifying the inequality gives:

50 > x

Therefore, the range of possible lengths for the third side of the restaurant is x < 50.

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Answer:

\( \huge \boxed{\red{ \boxed{ - \cos(x) + C}}}\)

Step-by-step explanation:

\(\text{And we are done!}\)

Answer:

-cosx+c is your answer

Step-by-step explanation:

\( \displaystyle \int \: \tan(x) \cos(x) \: dx\)

\( \displaystyle \int \: \sin \: x \div \cos(x) \times \cos(x) dx \)

\( \displaystyle \int \: sinx \: dx \\ - \cos(x) + c\)

Answer:

here's one way:  z^x = Y,   7^1 = 7

Y = 7

Step-by-step explanation:

The household income for which 70% of individuals used the Internet at home in 2010 is $94,394 (rounded to the nearest dollar).

To find the household income for which 70% of individuals used the Internet at home in 2010, we need to solve the equation:

70 = 86.2 / (1 + 2.49 (1.054)^(-x))

Multiplying both sides by the denominator and rearranging, we get:

(1 + 2.49 (1.054)^(-x)) / 86.2 = 1 / 70

Simplifying, we get:

1 + 2.49 (1.054)^(-x) = 1.2314

Subtracting 1 from both sides and dividing by 2.49, we get:

(1.054)^(-x) = 0.09719

Taking the natural logarithm of both sides, we get:

ln (1.054)^(-x) = ln 0.09719

-x ln 1.054 = ln 0.09719

x = - ln 0.09719 / ln 1.054 ≈ 94,394

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Individuals with a household income of $49,230 used the Internet at home in 2010 with a percentage of approximately 70%.

We need to solve the equation 70 = 86.2 / (1 + 2.49 (1.054)-x) for x.

First, multiply both sides by (1 + 2.49 (1.054)-x):

70(1 + 2.49 (1.054)-x) = 86.2

Distribute the 70:

70 + 174.3 (1.054)-x = 86.2

Subtract 70 from both sides:

174.3 (1.054)-x = 16.8

Divide both sides by 174.3:

1.054-x = 0.0964

Take the logarithm of both sides:

log(1.054-x) = log(0.0964)

Solve for x:

x = log(1.054 / 0.0964)

x = 49.23

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The log notation for 3ˣ = 64 is ㏒₃64 = x as the logarithm is the inverse of exponentiation.

The mathematical expression that is used to represent any exponential relationship in the inverse form is termed as log notation.

We use log notation to determine any unknown values from an exponential equation.

the log notation for above equation is written as

3ˣ = 64

㏒₃64 = x

now we can determine the value of x

hence, the log notation is x= ㏒₃64

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Answer:

DNA from multiple beings have been found all over the world, this is also a theory because of the ability for the continents to be formed together, they almost click together like puzzle pieces!

Step-by-step explanation:

Answer:

Another piece of evidence that could support the idea that continents were once joined together could be that mountain ranges can be found on multiple continents even though now they are very far apart. For example, the Appalachian Mountains can be connected to mountains in Europe.  This supports the idea that continents were once joined together.

Let me know if this helps!

The union of the two intervals (2,3] and [3,4], written as a single interval is (2,4].

What is an interval?

⇒ An interval is an expression that involves a subset of numbers on the actual line. These intervals contain all the actual numbers between the two numbers in the interval.

There are three types of intervals, these are:

⇒ The intervals can be joined if in the math problem the result is between one end of the real line and the other end of the real line. There are two intervals with the sign of union in the middle of them.

The representation of the union of these intervals is given as follows:(2,3]∪[3,4]  , the union is denoted by ∪

Now as in every interval the three is part, we can express this union of this set as one in the following way:

⇒ (2,4]

Hence, the union of the two intervals (2,3] and [3,4], written as a single interval is (2,4].

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Answer:

Step-by-step explanation:

for example :

each person spends = $(5+3)

=$8

four people = 8 × 4 = $32

hope it helps...!!!

Answer:

rule add 15 subtract 10

Step-by-step explanation:

rule add 15 subtract 10.      rule add 15 subtract 16

The amount of money that Emma would have in her account after 30 weeks is $200.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Based on the information provided above, a linear equation that models the amount of money Emma has in her savings account is given by;

y = mx + c

y = 5x + 50

By substituting the given parameter (x = 30 weeks), we have the following:

y = 5(30) + 50

y = $200

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Using the slope-intercept form of the linear equation, the amount in her account after 30 weeks is $200

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has a variable whose exponent is more than 1.

In this problem, we are given an equation in the slope- intercept form and which is represented as y = mx + c

In the given equation;

y = 5x + 50

The amount in her account after 30 weeks is calculated as;

y = 5(30) + 50

y = 200

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The approaches of the limits are given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

Hence, if the function increases indiscriminately, with the graph pointing up, we have that the limits approaches positive infinity, while if the function decreases indiscriminately, with the graph pointing down, we have that the limits approaches negative infinity.

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∠GML ≅ ∠HMJ by the Vertical Angles Congruence Theorem.

∠GMH ≅ ∠LMJ by the Vertical Angles Congruence Theorem.

∠GMK ≅ ∠JMK by the Right Angles Congruence Theorem. They form a linear pair which means they are supplementary by the Linear pair Postulate and because one is a right angle so is the other by the Subtraction Property of Equality.

According to the congruence theorem of vertical angles or angles that are vertically opposing, two opposing vertical angles that are created when two lines intersect one other are always equal.

So from the figure, we can determine the vertically opposite angles,

∠GML ≅ ∠HMJ

Similarly, ∠GMH ≅ ∠LMJ

The angles ∠GMK and ∠JMK form a linear pair and are supplementary by the linear pair postulate which states that the two angles in the linear pair add up to 180°.

We know that all right angles are congruent from the Right Angle Congruence Theorem.

Hence,∠GMK ≅ ∠JMK

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Answer:

Perimeter of big rectangle = 38 units

Step-by-step explanation:

Let the sides of rectangle (1) = a and c cm

Sides of rectangle (2) = b and c cm

Sides of rectangle (3) = b and d cm

Sides of rectangle (4) = a and d cm

Perimeter of (1) = 2(length + width)

2(a + c) = 10

a + c = 5 ---------(1)

Perimeter of (2) = 2(b + c)

2(b + c) = 20

b + c = 10 -------(2)

Perimeter of (3) =2(b + d)

2(b + d) = 28

b + d = 14 --------(3)

Perimeter of (4) = 2(a + d)

2(a + d) = 18                      

a + d = 9 -------(4)

Since perimeter of the big rectangle = 2(a + b + c + d)

By adding equations (1) + (2) + (3) + (4),

(a + c) + (b + c) + (b + d) + (a + d) = 5 + 10 + 14 + 9

2(a + b + c + d) = 38

Therefore, perimeter of the rectangle ABCD = 38 units

a) the mean of this distribution is 20

b) the mean of the distribution is 20 and the standard deviation of the distribution is 4.58.

a. Calculation of mean of the given distribution:

Mean = ∑(x * P(x))

where x = value of the outcome

P(x) = Probability of the outcome

∑ denotes the summation over all the possible outcomes

Mean = (10 * 0.10) + (15 * 0.30) + (20 * 0.20) + (25 * 0.30) + (30 * 0.10)= 1 + 4.5 + 4 + 7.5 + 3= 20

b. Calculation of standard deviation of the given distribution:

σ = √[∑(x - μ)² P(x)]

where x = value of the outcome

μ = mean of the distribution

P(x) = Probability of the outcome

∑ denotes the summation over all the possible outcomes

σ = √[((10 - 20)² * 0.10) + ((15 - 20)² * 0.30) + ((20 - 20)² * 0.20) + ((25 - 20)² * 0.30) + ((30 - 20)² * 0.10)]= √[100 * 0.10 + 25 * 0.30 + 0 + 25 * 0.30 + 100 * 0.10]= √[10 + 7.5 + 3.5]= √21= 4.58

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Stacy can varnish 4 dining sets with the given amount of varnish.

To determine how many dining sets Stacy can varnish, we need to divide the total amount of wooden varnish she has by the amount of varnish required for each dining set.

Stacy has 14/3 cans of wooden varnish.

This means she has 14/3 units of varnish available.

Each wooden dining set requires 7/6 cans of varnish.

To find out how many dining sets Stacy can varnish, we need to divide the total varnish available by the varnish required per set.

Let's set up the division:

(14/3) / (7/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(14/3) × (6/7)

Multiplying the numerators gives us 14 × 6 = 84, and multiplying the denominators gives us 3 × 7 = 21.

So, (14/3) / (7/6) simplifies to 84/21, which further simplifies to 4.

Stacy can varnish 4 dining sets using the 14/3 cans of wooden varnish she has, with each dining set requiring 7/6 cans.

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\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Answer:

R = 12

Step-by-step explanation:

Reduce the equation by subtracting 11 from both sides to get

r/4=3

Then, to get r alone, multiply by 4 on both sides.

r=12

So, R is 12.

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

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In a raffle, there are five participants: Sean, Gwen, Chester, Marisol, and Alejandro. The number of raffle tickets each participant has is given.

We need to calculate the probability that Gwen or Marisol will win the raffle this month.  To calculate the probability, we need to determine the total number of raffle tickets held by Gwen and Marisol, and divide it by the total number of raffle tickets in the raffle. Gwen has 6 tickets and Marisol has 2 tickets, so the total number of tickets held by Gwen or Marisol is 6 + 2 = 8. The total number of raffle tickets in the raffle is 3 + 6 + 4 + 2 + 5 = 20. Therefore, the probability that Gwen or Marisol will win the raffle is 8/20, which can be simplified to 2/5.

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The equation of the line containing the point (8,9) and perpendicular to the line 5x + y = 6 is y = (1/5)x + 37/5 in slope-intercept form.

To find the equation of the line containing the point (8,9) and perpendicular to the line 5x + y = 6, we need to determine the slope of the perpendicular line.

The given line has the equation 5x + y = 6. We can rewrite it in slope-intercept form (y = mx + b) by isolating y:

y = -5x + 6

Comparing this equation to the standard slope-intercept form, we can see that the slope of the given line is -5.

Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line would be the negative reciprocal of -5, which is 1/5.

Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) is the given point (8,9), we can write the equation of the line:

y - 9 = (1/5)(x - 8)

Expanding and simplifying:

y - 9 = (1/5)x - 8/5

To write it in y = mx + b form, we isolate y:

y = (1/5)x - 8/5 + 9

y = (1/5)x + 37/5

Therefore, the equation of the line containing the point (8,9) and perpendicular to the line 5x + y = 6 is y = (1/5)x + 37/5 in slope-intercept form.

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\(\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5\)

Answer:

Step-by-step explanation:

Rewrite this as -m divided by 4 - 2 = 3

Add the two to 3 to get 5

Multiply 5 by 4 to get 20

m = -20