Events A and B are independent. Find the missing probability.
A.9/20

B.3/4

C.1/2

D.3/40

Answer:

5.x^8.y^3

Step-by-step explanation:

15.x^10.y^5.z^2 ÷ 3.x^2.y^2.z^2

= 15/3. x^(10-2). y^(5-2). z^(2-2)

= 5.x^8.y^3.z^0

= 5.x^8.y^3

[tex]\\ \rm\hookrightarrow \dfrac{15x^{10}y^5z^2}{3x^2y^2z^2}[/tex]

[tex]\\ \rm\hookrightarrow 5x^{10-2}y^{5-2}z^{2-2}[/tex]

[tex]\\ \rm\hookrightarrow 5x^8y^3[/tex]

Option B has type error or none of the above

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

We can substitute a definition of one of the variables by rearranging the first equation.

We set the first equation equal to one of our two variables.

[tex]y = 24 - x[/tex]

Now we substitute this equality into our second equation

[tex]3x + 5(24 - x) = 100[/tex]

Answer:

3120 m³

Step-by-step explanation:

Answer:

Option F

Step-by-step explanation:

Let the number be n.

Sum of a number and 5 is n + 5.

Sum of a number and five divided by fifteen is

( n + 5 ) / 15

Answer:

both jars contain 12 marbles

for the first jar the probability is 4/12 which is 33%

for the second jar the probability is 6/12 which is 50%

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

theres 12 mables in each jar in this situation.

Answer:

-1.5, 0.5

Step-by-step explanation:

Step-by-step explanation:

volume of sphere=4/3πr³

Answer:

V = 4188.79 in^3

Step-by-step explanation:

The volume of a sphere is V = (4/3)(pi)(10 in)^3, or (using a calculator):

V = 4188.79 in^3

Answer:

Given:

perpendicular [p]=9cm

base[b]=15cm

length[l]=4cm

we have

the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l

=½×9×15×4=270cm³

270cm³ is a required volume.

Answer:

[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]

Step-by-step explanation:

we are given a triangular prism

we want to figure out the Volume of the given Prism

remember that,

[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]

since the base is triangle the formula of base area should be the formula of the area of a triangle

thus,

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]

substitute

[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]

remove parentheses:

[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]

reduce fraction:

[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]

simplify multiplication:

[tex]\displaystyle V _{ \text{prism}} = 270[/tex]

hence, the Volume of the given prism is 270cm³

From the latter, we obtain the equation 1 radian = (180π)o . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by 180°π radians .

Answer:

A

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos X = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{XY}{XZ}[/tex] = [tex]\frac{13}{18}[/tex] , then

∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{13}{18}[/tex] ) ≈ 44° ( to the nearest degree ) → A

Answer:

Step-by-step explanation:

Answer:

This probably isn't much help but I got xy^5. It isn't on the multiple-choice but xy^6 is the closest to my answer so I would guess it's that.

step-by-step explanation:

Answer:

4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps

Step-by-step explanation:

https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles

Answer:

A translation because it can map one angle onto another since dilation preserve angle measures of triangles.

Step-by-step explanation:

Answer:

23/36

Step-by-step explanation:

Add all the numbers

1/2 + 2/3 + 3/4 = 23/12

Divide by 3

23/12 / 3 = 23/36

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

Answer:

diameter is your answer

Answer:

Its an Obtuse angles

Step-by-step explanation:

x+79=2x-37

(x+79)+(-79)=(2x-37)+(-79)

x+79-79=(2x-37)-79

x=2x-37-79

x=116

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Answer:

33 years and 4 months.

Step-by-step explanation:

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months

Answer:

(5,7)

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

i think sorry if it is wrong

Answer:

slope= m=-30 hope that helps

Answer:

[tex]\boxed {\boxed {\sf B. \ 2: x^2+(y+4)^2=9}}}[/tex]

Step-by-step explanation:

The equation for a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center and r is the radius.

We know that the center of the circle is (0, -4) and the radius is 3. Therefore:

Substitute the values into the formula.

[tex](x-0)^2+(y--4)^2=(3)^2[/tex]

Solve the first parentheses.

[tex]x^2+(y--4)^2=(3)^2[/tex]

Solve the next parentheses.

[tex]x^2+(y+4)^2=(3)^2[/tex]

Solve the exponent.

[tex]x^2+(y+4)^2=9[/tex]

This is the finished equation, which corresponds with number 2. Choice B (2): x²+(y+4)²= 9 is correct.

Answer:

Nah i gotcha, I'm always helping around people, as long as i understand the question myself Imfao

Answer:

Total surface area = 536.6 cm²

Step-by-step explanation:

Surface area of the given figure = Area of rectangle (1) + Area of rectangle (2) + Area of rectangle (3) + Area of triangle (4) + Area of triangle (5)

Area of rectangle (1) = Length × Width

                                  = 10 × 15

                                  = 150 cm²

Area of rectangle (2) = 10 × 15

                                   = 150 cm²

Area of rectangle (3) = 10 × 15

                                   = 150 cm²

Area of triangle (4) = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                               = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Area of triangle (5) = [tex]\frac{1}{2}(10)(8.66)[/tex]

                               = 43.3 cm²

Total surface area = 150 + 150 + 150 + 43.3 + 43.3

                               = 536.6 cm²

Answer:

15.866

Step-by-step explanation:

you would first find the mean of the data set by adding all the numbers together and dividing by the number of data points given (7 in this case).

you would then use the mean to solve for the standard deviation by using the equation, σ=√Σ(x-μ)²/N.

first, subtract the mean from all the data points

then, square each calculated value from above

then, add the squared values together

you would then divide 1762 by 7 (number of data values given orginally)

finally, take the square root of 251.714 to find the standard deviation

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers  

No, the Normal/large sample condition is not met.

Option C is the correct answer.

A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.

It is used when the sample size is small or the population standard deviation is unknown.

We have,

The conditions for inference in a t-test are:

Random condition:

The sample should be selected randomly from the population to ensure that the sample is representative of the population.

Normal/large sample condition:

The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.

Independence condition:

The observations in the sample should be independent of each other.

In this case,

The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.

Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.

Thus,

No, the Normal/large sample condition is not met.

Learn more about t-test here:

https://brainly.com/question/15870238

#SPJ3

Answer:

what

Step-by-step explanation:

Answer:

2000 people

Step-by-step explanation:

4%= 80

2%=40

1%=20

100%= 2000 people

Hope this helped! :)

Answer:

2000 people

Step-by-step explanation:

80:4%

y:100%

[tex]\frac{80}{y} =\frac{4}{100}[/tex]

y × 4 = 80 × 100

4y = 8000

4y ÷ 4 = 8000 ÷ 4

y = 2000