A bag has 6 blue marbles, 4 red marbles, and 2 green marbles. Wo marbles are randomly chosen without replacement. What is the probablilty that both marbles piked are blue

Answer:

[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]

Answer:

4 units

Step-by-step explanation:

Answer:

(√3+1.4)m

Step-by-step explanation:

By forming a right triangle, we can see that the angle of elevation is 30°.

In a 30-60-90 triangle, the side opposite the 30° is the other leg multiplied by 1/√3.

x= [tex]\frac{3}{\sqrt{3} } =\frac{3\sqrt{3} }{\sqrt{3}*\sqrt{3} } =\frac{3\sqrt{3} }{3} =\sqrt{3}[/tex]

The height of the pole is (√3+1.4)m

Answer:

Step-by-step explanation:

y = 6X

so this is a direct variation , b/c as X goes up, so does Y

The equation that models the data is y = 6x

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To determine whether the data in the table represents a direct or inverse variation, we need to check whether the ratio of x to y is constant.

When we divide each y-value by its corresponding x-value, we get the ratios:

6/1 = 6

12/2 = 6

30/5 = 6

60/10 = 6

We see that the ratio of y to x is constant, which means that the data represents a direct variation.

To write an equation to model the data in the table, we can use the formula for direct variation, which is:

y = kx

where k is the constant of variation.

To find k, we can use any of the given data pairs.

For example, we can use the first pair (x = 1, y = 6):

6 = k(1)

Solving for k, we get:

k = 6/1 = 6

Thus,

The equation that models the data is y = 6x

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Move all terms not containing y to the right side of the

equation.

y= X/2+4

Rewrite in slope-intercept form.

y=1/2x+4

Use the slope-intercept form to find the slope and y

intercept.

Slope: 1/2

y-intercept: (0,4)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values. Answer: (0,4) (2,5)

I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.

Answer:

3.8 kg of tomatos

Step-by-step explanation:

5 3/10 = 5.3

5.3 - 1.5 = 3.8

so what is really the answer?

Answer:

0.4

Step-by-step explanation:

Radius of inner circle = r

Radius of entire circle = r + r + r + r + r = 5r

Probability that an arrow hitting the target will land on inner circle ;

Area of inner circle / area of entire circle

Recall :

Area of circle = πr²

Hence ;

πr² / π(5r)²  = πr² / π25r² = 1 / 25 = 0.4

Answer:

The first where z = -1.78 and p-value = 0.0375 would be the correct answer

Hope it helps

Using the z-distribution, it is found that the test statistic and the p-value of the test are given as follows:

z = –1.78, P-value = 0.0375.

At the null hypothesis, it is tested if the proportion is of 85%, that is:

[tex]H_0: p = 0.85[/tex]

At the alternative hypothesis, it is tested if it is less than that, hence:

[tex]H_1: p < 0.85[/tex].

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

In this problem, we have that the parameters are given as follows:

[tex]n = 50, \overline{p} = 0.76, p = 0.85[/tex]

Hence, the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.76 - 0.85}{\sqrt{\frac{0.85(0.15)}{50}}}[/tex]

z = -1.78.

Using a z-distribution calculator, considering that we have a left-tailed test, as we are testing if the proportion is less than a value, the p-value is of 0.0375.

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Answer:

2/3 miles

Step-by-step explanation:

this question is basically asking you to find the slope between two points: (4,3) and (-2, -1)

how to find slope: (y1 - y2)/ (x1-x2)

so:

y1 =3, y2= -1

x1 = 4, x2 = -2

[3- (-1)]/[4-(-2)]

[3+1]/[4+2]

4/6

2/3 miles

Answer:

root 52 <3

Step-by-step explanation:

Answer: 31

Step-by-step explanation:

Janine has 48 hockey cards in one book and 105 hockey cards in another book. Therefore, the total hockey cards will be:

= 48 + 105

= 153 hockey cards

Since the hockey cards come in packages of 5 cards, the number of packages that she will buy will be:

= 153/5

= 30 3/5

= 31

Therefore, she'll buy 31 packages

Answer:

Step-by-step explanation:

2miles

The required shortest between the two houses is given as 10 miles. Option B is correct.

In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.

Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.

Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,

x = √[8² + 6²]
x = √[100]
x = 10 miles

Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.

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Answer:

Basically you add all the numbers shown there and divide by how many there are. So you just get the sum and divide that by 11 since there are 11 numbers. Happy to help! (mean)

Step-by-step explanation:

Answer:

c, c, b

Step-by-step explanation:

Answer:

x = -13

Step-by-step explanation:

2x + 6 = -20

Subtract 6 on both sides.

2x = -26

Divide by 2 on both sides.

x = -13

Answer:

-13

2x + 6 = -20

2x =  -26

x = -26 / 2

x=-13

Answer:

16 key chains

Step-by-step explanation:

Given

[tex]f(x) = 0.85x + 3.99[/tex] ---company A

[tex]g(x) = 1.10x[/tex] --- company B

Required

Value of x when [tex]f(x) = g(x)[/tex]

We have:

[tex]f(x) = g(x)[/tex]

[tex]0.85x + 3.99 = 1.10x[/tex]

Collect like terms

[tex]0.85x - 1.10x = -3.99[/tex]

[tex]-0.25x = -3.99[/tex]

Solve for x

[tex]x = \frac{-3.99}{-0.25}[/tex]

[tex]x = 15.96[/tex]

[tex]x= 16[/tex] --- approximated

Answer:

El eje horizontal en el plano de coordenadas se llama eje-x. El eje vertical se llama eje-y. El punto en el que los dos ejes se intersectan se llama origen.

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

one half of the circle makes a straight line and that will equal 180 degrees so 60+45=105

180-105=80

so the missing angle is x=80

Answer:

x = 75 degrees

Step-by-step explanation:

60 + 60 = 120

45 + 45 = 90

120 + 90 = 210

360 - 210 = 150

150 / 2 =75 degrees

As you can see sphere's diameter = to a cube's edge...so the diameter of the sphere is also 12 cm. So its radius is 6 cm.

v= 4/3*πr³

v=4/3*3.14*6³

v=904.32

The volume of the sphere is about 904 cubic centimeters.

Hope this helps!

Answer:

C=39

Step-by-step explanation:

180=sum of angles in a triangle

67+74+C=180

141+C=180

C=180-141

C=39

Answer:

ur question is incomplete. what is angle COD

Answer:

68°

Step-by-step explanation:

Equations:

To solve for y we have to use the sine rule which is defined as:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Side a is opposite from angle A, side b is opposite from side B, etc.

Solving for y:

Let's say angle A was the angle we are trying to find. Then we can re-write the sine rule as:

[tex]\frac{sin(y)}{250} =\frac{sin(48)}{200}[/tex]

Let's re-arrange this for the angle y:

[tex]sin(y)=250 * \frac{sin(48)}{200} \\y=sin^-1(250 * \frac{sin48}{200} )[/tex]

Typing this into a calculator gives the answer: [tex]y = 68.26...[/tex] which is 68 degrees rounded to the nearest whole degree.

Answer:

[tex]2x - 3y = 5 - - - (a) \\ 5x = 4y + 14 \\ 5x - 4y = 14- - - (b) \\ 5 \times (a) - 2 \times (b) : \\ - 7y = - 3 \\ y = \frac{3}{7} \\ x = \frac{22}{7} [/tex]

Answer:

SO not sure if you want me to solve the equation after, but if it's just asking for the matrix method then here ya go

Step-by-step explanation:

SO, first equation is already in matrix form

Second equation = -5x + 4y = -14

So your answer is:

2x - 3y = 5

-5x + 4y = -14

Answer:

both of the above

Step-by-step explanation:

The correct representation of the graph will be;

''The cost of gas rises, and then doesn't change for while. The cost falls before finishing with a sharp increase.''

Option B is true.

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 graph is shown in figure with relation between Time and Cost.

Now,

In the graph;

From the start, The cost of gas is rise with increase in graph, and then in cost no change occur with constant line.

The, the cost falls with falls in graph and then the cost is sharp increase before finishing.

Thus, The correct representation of the graph will be;

''The cost of gas rises, and then doesn't change for while. The cost falls before finishing with a sharp increase.''

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The radicals [tex]\sqrt{180}[/tex]  and [tex]3\sqrt{20}[/tex] are equivalent.

What is radical?

A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction.

The value of [tex]\sqrt{54}[/tex] is [tex]3\sqrt{6}[/tex] which is not equivalent to [tex]9\sqrt{6}[/tex] .

The value of [tex]\sqrt{180}[/tex] is [tex]6\sqrt{5}[/tex].

The value of [tex]3\sqrt{20}[/tex]  is [tex]6\sqrt{5}[/tex].

The radicals [tex]\sqrt{180}[/tex]  and [tex]3\sqrt{20}[/tex] are equivalent.

Therefore, the correct option is b.

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Answer:

x = 65

y = 71

z = 44

Step-by-step explanation:

y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

Answer:

D) -9.7 and 9.7

E) 2.8 and -2.8