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1 year ago

Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.

Mathematics

2 answers:

Talja [164]1 year ago

5 0

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

the probability that both numbers are greater than 6 if the same number can be chosen twice--> 3/9 * 3/9 = 1/9

the probability that both numbers are less than 7 if the same number can be chosen twice --> 6/9 * 6/9 = 4/9

the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice --> 3/9 * 2/8 = 1/12

the probability that both numbers are even numbers if the same numbers cannot be chosen twice --> 4/9 * 3/8 = 1/6

maxonik [38]1 year ago

4 0

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

greater than 6 not chosen twice = 1/12

greater than 6 can be twice = 1/9

Less than 7 and can be chosen twice = 4/9

both are even but cannot be chosen twice =1/6

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∠E and ∠F are vertical angles with m∠E=5x+10 and m∠F=7x−12 . What is the value of x?

In-s [12.5K]

Vertical angles are equal...so set ur angles equal to each other and solve for x

5x + 10 = 7x - 12
12 + 10 = 7x - 5x
22 = 2x
22/2 = x
11 = x <==

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2 years ago

What is 4 square root of 81 to the fifth power in exponential form

creativ13 [48]

Answer:

B is the answer.

Step-by-step explanation:

$x^{\frac{m}{n} } = \sqrt[n]{x^{m} }$

$\sqrt[4]{81^{5} }$ = $81^{\frac{5}{4} }$

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2 years ago

An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute. Round your answer to the nearest

lorasvet [3.4K]

Answer:it would be 1385

Step-by-step explanation:because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place

and look one place to the right for the rounding digit on the right side of the decimal point

.Round up if this number is greater than or equal to

and round down if it is less than

1385

5 0

1 year ago

Evaluate the triple integral ∭ExydV where E is the solid tetrahedon with vertices (0,0,0),(5,0,0),(0,9,0),(0,0,4).

Elan Coil [88]

Answer: $\int\limits^a_E {\int\limits^a_E {\int\limits^a_E {xy} } \, dV$ = 1087.5

Step-by-step explanation: To evaluate the triple integral, first an equation of a plane is needed, since the tetrahedon is a geometric form that occupies a 3 dimensional plane. The region of the integral is in the attachment.

An equation of a plane is found with a point and a normal vector. Normal vector is a perpendicular vector on the plane.

Given the points, determine the vectors:

P = (5,0,0); Q = (0,9,0); R = (0,0,4)

vector PQ = (5,0,0) - (0,9,0) = (5,-9,0)

vector QR = (0,9,0) - (0,0,4) = (0,9,-4)

Knowing that cross product of two vectors will be perpendicular to these vectors, you can use the cross product as normal vector:

n = PQ × QR = $\left[\begin{array}{ccc}i&j&k\\5&-9&0\\0&9&-4\end{array}\right]$ $\left[\begin{array}{ccc}i&j\\5&-9\\0&9\end{array}\right]$

n = 36i + 0j + 45k - (0k + 0i - 20j)

n = 36i + 20j + 45k

Equation of a plane is generally given by:

$a(x-x_{0}) + b(y-y_{0}) + c(z-z_{0}) = 0$

Then, replacing with point P and normal vector n:

$36(x-5) + 20(y-0) + 45(z-0) = 0$

The equation is: 36x + 20y + 45z - 180 = 0

Second, in evaluating the triple integral, set limits:

In terms of z:

$z = \frac{180-36x-20y}{45}$

When z = 0:

$y = 9 + \frac{-9x}{5}$

When z=0 and y=0:

x = 5

Then, triple integral is:

$\int\limits^5_0 {\int\limits {\int\ {xy} \, dz } \, dy } \, dx$

Calculating:

$\int\limits^5_0 {\int\limits {\int\ {xyz} \, dy } \, dx$

$\int\limits^5_0 {\int\limits {\int\ {xy(\frac{180-36x-20y}{45} - 0 )} \, dy } \, dx$

$\frac{1}{45} \int\limits^5_0 {\int\ {180xy-36x^{2}y-20xy^{2}} \, dy } \, dx$

$\frac{1}{45} \int\limits^5_0 {90xy^{2}-18x^{2}y^{2}-\frac{20}{3} xy^{3} } \, dx$

$\frac{1}{45} \int\limits^5_0 {2430x-1458x^{2}+\frac{94770}{125} x^{3}-\frac{23490}{375}x^{4} } \, dx$

$\frac{1}{45} [30375-60750+118462.5-39150]$

$\int\limits^5_0 {\int\limits {\int\ {xyz} \, dy } \, dx$ = 1087.5

The volume of the tetrahedon is 1087.5 cubic units.

3 0

1 year ago

You wanted to join a booth fair, and you are aiming to get a profit that is twice as

sashaice [31]

You wanted to join a booth fair, and you are aiming to get a profit that is twice as your capital. Using the given information, your sample plan may be as follows:

Product Organic skincare products for women

Description An organic skincare cream and soap that brightens

and moisturizes your skin.

Goal To provide anti-aging skin for women and

maintaining their skin body.

Capital 15000

Fixed Cost 7000

Variable Cost 8000

Profit function 300(a) = 450a - 150a

To prove that the profit function will yield twice the capital.

This profit function: 300(y) = 450y - 150y will help achieve twice profit as your capital.

Profit function = revenue function r(y) - cost function c(y)

300(y) = 450y - 150y

where;

y = no of units produced and sold.
p = profit sold per unit

Cost function C(y) = fixed cost + (variable cost) × (amount of unit sold)

Assumption:

Cost function C(y) = 7000 + (80 × 100)

Cost function C(y) = 7000 + 8000

Cost function C(y) = 15000

Revenue function R(y) = price per revenue sold × no of sold units

R(y) = 450 × 100

R(y) = 45000

∴

Profit function = 45000 - 15000

Profit function = 30000

Therefore, can conclude that the profit function is revenue function r(y) - cost function c(y).

Hence the formula:

Profit function = revenue function r(y) - cost function c(y) (Proved)

Learn more about Profit function here:

brainly.com/question/16866047?referrer=searchResults

8 0

1 year ago