2. Ajar contains 10 marbles, 6 marbles are red, and 4
marbles are blue. If 2 marbles are chosen one at a time
without replacement, what is the probability that the first
marble will be blue and the second marble will be red?
A: 3/16 B: 6/25 C: 1/8 D : 12/45
Independent or Dependent:
Final Answer:

Answer:

What Are The Options?

Step-by-step explanation:

Answer:

0.42

Step-by-step explanation:

given:

P (penny) = 1/4

P (dime) = 1/3

since the only other possibility is to pick a nickel, hence

P (nickel)

= 1 - 1/4  - 1/3

= 5/12

= 0.4166667

= 0.42 (nearest hundredth)

Answer:

we have

slope=(-5--8)/(x-7)

-3/4=3/(x-7)

-3(x-7)=3×4

-3x+21=12

21-12=3x

3x=9

x=9/3=3

Answer:

x = 3

Step-by-step explanation:

slope = \(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)

Using the your two points the slope = m = \(\frac{-8 + 5}{7-x} = \frac{-3}{4}\)

                                                                       \(\frac{-3}{7-x} =\frac{-3}{4}\)

Since the numerators are equal, then the denominators must be equal.

So, 7 - x = 4

-x = -3

x = 3

Answer:

C. 7x-9x and -2x

Step-by-step explanation:

Combine like terms and simplify

2x+5x-9x

7x-9x

-2x

Answer:

Ratio of the volumes of the spheres and cube = 0.523

Step-by-step explanation:

From the figure attached,

Diameter of one sphere = Half of the measure of one side of the cube

                                        = \(\frac{x}{2}\)

Radius of the sphere = \(\frac{\frac{x}{2}}{2}\)

                                   = \(\frac{x}{4}\)

Volume of a cube is given by the formula,

V = \(\frac{4}{3}\pi r^{3}\)

Therefore, volume of one sphere = \(\frac{4}{3}\pi (\frac{x}{4})^{3}\)

                                                        = \(\frac{x^3\pi}{48}\)

Volume of 8 spheres = \(8\times \frac{x^3\pi}{48}\)

                                   = \(\frac{x^3\pi}{6}\)

Volume of a cube = (side)³

                              = \(x^3\)

Ratio of the volumes of the sphere and cube = \(\frac{\frac{\pi x^3}{6} }{x^3}\)

                                                                              = \(\frac{\pi}{6}\)

                                                                              ≈ 0.523

Step-by-step explanation:

The given equation is:

x^2 + 6x + 5 = 0

To solve this quadratic equation, we can use several methods, including:

Factoring method

Completing the square method

Quadratic formula method

Let's apply each method to solve the given equation:

Factoring method:

To factor the given quadratic equation, we need to find two numbers whose product is 5 and sum is 6. These numbers are 1 and 5. So, we can factor the quadratic equation as:

(x + 1)(x + 5) = 0

Applying the zero product property, we get:

x + 1 = 0 or x + 5 = 0

Solving for x, we get:

x = -1 or x = -5

Therefore, the solutions of the quadratic equation are x = -1 and x = -5.

Completing the square method:

To use the completing the square method, we need to write the given quadratic equation in the standard form:

x^2 + 6x + 5 = 0

(x + 3)^2 - 4 = 0 [Note: (a+b)^2 = a^2 + 2ab + b^2 ]

(x + 3)^2 = 4

Taking the square root on both sides, we get:

x + 3 = ±2

Solving for x, we get:

x = -3 + 2 or x = -3 - 2

x = -1 or x = -5

Therefore, the solutions of the quadratic equation are x = -1 and x = -5.

Quadratic formula method:

To use the quadratic formula, we need to know the values of the coefficients a, b, and c in the quadratic equation:

x^2 + 6x + 5 = 0

Here, a = 1, b = 6, and c = 5. Substituting these values in the quadratic formula, we get:

x = [-b ± √(b^2 - 4ac)] / (2a)

x = [-6 ± √(6^2 - 4(1)(5))] / (2 × 1)

x = [-6 ± √(16)] / 2

x = [-6 ± 4] / 2

x = -3 ± 2

Solving for x, we get:

x = -1 or x = -5

Therefore, the solutions of the quadratic equation are x = -1 and x = -5.

In conclusion, the solutions of the given quadratic equation x^2 + 6x + 5 = 0 are x = -1 and x = -5, which we obtained by using each of the three methods: factoring, completing the square, and quadratic formula.

Answer:

20,464,000

Step-by-step explanation:

Answer: The answer is exactly 204,64000.

Step-by-step explanation: I hope I helped you out.

The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}\)

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

N is the number of observations in the data set.

It is given that:

The data set:

45, 76, 30, 22, 51, 40, 63, 66, 41

From the formula:

∑(x(i) - X)² = 2463.55

N = 9

SD = √(2463.55/9)

SD = 16.54

Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

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Answer:8 Dollars

Step-by-step explanation: The whole is 100 so you add 50 and 10 together which is the lunch and candy which equals 60 then you subtract the whole number 100 by 60 giving you 40 which is the percentage of 20 that was spent on the spirit shirt.And the way I do it is 10 percent of 20 is 2 so times 2 by 4 which gives you 8 dollars.

Answer:

3

Step-by-step explanation:

6(x+4)=42

x=3

check:

6*(3+4)=42

There are multiple combinations of length and width that can give us an area of 6 cm2. It is important to note that the length and width of a rectangle are interchangeable. This means that if we switch the length and width in any of the above combinations, we will still get the same area of 6 cm2.

Yes, I can definitely help you with that! However, there are multiple possible length and width combinations for a rectangle with an area of 6 cm².

Firstly, let's recall the formula for the area of a rectangle which is:

Area = Length x Width

We know that the area of the rectangle is 6 cm², but we do not have any specific measurements for the length or width. Therefore, we need to find the possible combinations of length and width that will give us an area of 6 cm².

Here are some of the possible combinations:

- Length = 1 cm and Width = 6 cm
- Length = 2 cm and Width = 3 cm
- Length = 3 cm and Width = 2 cm
- Length = 6 cm and Width = 1 cm

As you can see, there are multiple combinations of length and width that can give us an area of 6 cm². It is important to note that the length and width of a rectangle are interchangeable. This means that if we switch the length and width in any of the above combinations, we will still get the same area of 6 cm².

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Answer:

0.702

Step-by-step explanation:

Answer:not true

Step-by-step explanation:

To say not true we need only one example so we can take x as -5

[-5]= [-5+1]

5 not equal with 4

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

Answer:

D. p - 0.20p

Step-by-step explanation:

Answer:

march 4th?

Step-by-step explanation:

April 29? That seems like a birthday you would have with your name.

Answer:

Step-by-step explanation:

pls explain i dont understant what your ar tying to say

Answer: 21

Step-by-step explanation: you have to put the numbers in the correct order so, 18,20,21,22,24 is the correct order and 21 is directly in the middle.

Step-by-step explanation:

146 × 48 = 48 × 146

due to the commutative law of multiplication the sequence of the operands of a multiplication does not matter.

a × b = b × a

this bases on the fact that a multiplication is nothing else than a special kind of addition

a × b = add a b times; or add b a times.

and as already the addition follows the commutative law

a + b = b + a

so, does then the multiplication.

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

The coefficient of determination, also known as R-squared, is a statistical measure that represents the proportion of the variance in a dependent variable that is predictable from an independent variable or variables. It is used to evaluate the goodness of fit of a regression model. The formula for calculating the coefficient of determination is:

R-squared = 1 - (SSres / SStot)

where SSres is the sum of squares of residuals and SStot is the total sum of squares.

The sum of squares of residuals is calculated by subtracting each predicted value from its corresponding actual value, squaring the difference, and adding up all the squared differences. The total sum of squares is calculated by subtracting the mean of the dependent variable from each actual value, squaring the difference, and adding up all the squared differences.

The coefficient of determination ranges from 0 to 1, with 0 indicating that the model does not explain any variability in the dependent variable and 1 indicating that the model explains all the variability in the dependent variable. A higher R-squared value indicates a better fit between the regression model and the data.

It is important to note that R-squared should not be used as the sole criterion for evaluating a regression model. Other factors such as statistical significance, residual plots, and out-of-sample prediction accuracy should also be considered.

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Answer:

the answer to your question is 162.72

There are 18 possible ice cream cones of 1 scoop are there.

Based on the given information, an ice cream can only have 1 scoop of ice cream and a choice of a cone and sprinkles. Hence,

3 flavors of ice cream

2 choices of cones

3 choices of sprinkles

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Thus, by Fundamental Principle of Counting, the number of possible outcomes is

3 x 2 x 3 = 18

Hence, there are 18 possible ice cream cones of different flavor and sprinkles.

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Answer:

X = 3, Y = 1.

Step-by-step explanation:

X = 3 and Y = 1, because 2 times 3 equals 6, and 6 plus 1 equals 7. So that's for the first one, but now we need to make sure that it's the same value for the other equation. 3 times 3 equals 9, 4 times 1 equals 4, and 9 minus 4 equals 5. So X = 3, and Y =  1. Hope this helped :D

The variable y varies directly with x and the variation equation is (b) y = -1/2x

The graph represents the given parameter

On the graph, we can see that:

The values of x are divided by -2 to get y

This means that the graph represents a direct variation

Recall that we stated that:

The values of x are divided by -2 to get y

This means that the constant of variation is -1/2

The direct variation equation is represented as:

y = kx

Where k represents the constant of variation i.e. k = -1/2

Substitute the known values in the above equation So, we have the following equation

y = -1/2x

Hence, the equation of variation is y = -1/2x

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The intermediate value theorem applies to the indicated interval and the importance of c guaranteed by the theorem is c=2,3.

Especially, he has been credited with proving the following five theorems:  a circle is bisected via any diameter; the bottom angles of an isosceles triangle are the same;  the other (“vertical”) angles are shaped by means of the intersection of two traces are same; two triangles are congruent (of identical form and size.

In mathematics, a theorem is an announcement that has been proved or may be proved. The evidence of a theorem is a logical argument that makes use of the inference guidelines of a deductive system to set up that the concept is a logical result of the axioms and formerly proved theorems.

In line with the Oxford dictionary, the definition of the concept is ''a rule or principle, especially in arithmetic, that may be proved to be true''. For example, in arithmetic, the Pythagorean theorem is a  theorem and is maximum extensively used in the domain of science.

2-1and interval = [4]

since function text is continuous in a given interval. And also

+(4) = 42+4 = 4-1

20 = 6667

$(5/4) = ($145/2

stone-1

= 5.833

simple, f(4) > $(5/2), hence Intermediate

Theorem & applies to the indicated proved.

Now,

= 6 C-1

C-5c +6 = 0

C=2 or c=3

1=3 or

C= 2, 3

<= 2

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Answer:

Step-by-step explanation:

Solve

1

Add  

5

5

5

to both sides of the equation

1

1

−

5

=

2

8

11p-5=28

11p−5=28

1

1

−

5

+

5

=

2

8

+

5

11p-5+{\color{#c92786}{5}}=28+{\color{#c92786}{5}}

11p−5+5=28+5

2

Simplify

Add the numbers

Add the numbers

1

1

=

3

3

11p=33

11p=33

3

Divide both sides of the equation by the same term

1

1

=

3

3

11p=33

11p=33

1

1

1

1

=

3

3

1

1

1111p​=1133​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

p=3

p=3

Solution

=

3

so basically yeah p = 3

Answer:

hello dear...

see first of all there's a thm type thing

'' sides opposite to equal angles are equal ''

so here 45 degrees in both sides are equal which leads us that opposite sides are equal as well

so x = 6

now we got value of 2 sides, both are 6 and now applying pythogarus as it is right angle

6^2 + 6^2 = y^2

36+36 = y^2

72 = y^2

y = √72

y = √36*2

y = 6√2

brainliest plssss <33

Answer:

what do you need help with, your imagine isnt loading

Step-by-step explanation:

The time length of the warranty should be approximately 1.515 times the mean life of the timepiece. To calculate the time length of warranty so that only 1.9% of the the quartz timepieces will be replaced before warranty expires, we use the formula: P(X ≤ x) = 0.019 Where P(X ≤ x) is the probability of failure before the warranty expires.

Let X be the number of months after purchase before a timepiece fails, and let m be the mean life of a timepiece. Then, the standard deviation of the life of a timepiece is σ = 0.25m (given). Also, the probability that a timepiece fails before the warranty expires is 0.019, which means that the probability of success is 1 - 0.019 = 0.981.

Using the standard normal table, we can find the Z-score such that the area to the left of Z is 0.981. From the table, we find that Z ≈ 2.06 (rounded to two decimal places).Therefore, Z = (x - m) / σ implies

x = σZ + m

≈ 0.515m + m

= 1.515m (since σ = 0.25m and Z = 2.06).

Thus, the time length of the warranty should be approximately 1.515 times the mean life of the timepiece.

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