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3 years ago

The theoretical probability of choosing a red grape from a

Mathematics

2 answers:

vovikov84 [41]3 years ago

8 0

4•9 is 36 so 36 would be your answer

miskamm [114]3 years ago

7 0

Answer:36

Step-by-step explanation: if 2 out of 9 or red and there are 8 red that means that divide 8 by to get 4 * 9 + 36

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Determine if the relation is a function if so state the domain and range

Sedaia [141]

Answer:

Function - Yes

Domain - [-3,0,3,4]

Range - [1,2,2,5]

Step-by-step explanation:

In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.

8 0

3 years ago

The economics department has 40 applicants for their phd program and only 10 openings. how many different combinations of applic

lana66690 [7]

In a sequence of events, the total possible number of ways all events can performed is the product of the possible number of ways each individual event can be performed. Since there are 10 openings

P = 40 x 39 x 38 x 37 x 36 x 35 x 34 x 33 x 32 x 31 = 3.07599 x 10^15 different combinations

5 0

3 years ago

Jodi built a rectangular sandbox for her daughter. The sandboxmeasures6 feet by 5feet by 1.2 feet. Jodi purchases 20cubic feet o

Mamont248 [21]

For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.

The volume of the prism is given by:

$V = w * l * h$

Where,

w: width
l: length
h: height

Therefore, replacing values we have:

$V = 6 * 5 * 1.2\\V = 36 ft ^ 3$

We observed that:

$36 ft ^ 3> 20 ft ^ 3$

Therefore, the sandbox is not completely filled.

Answer:

the sandbox will hold $36 ft ^ 3$ of sand

Jodi purchase is not enough sand to fill the sandbox to the top.

$36 ft ^ 3> 20 ft ^ 3$

8 0

3 years ago

Factor completely 3x^2+9x-3 3(x^2+3) 3(x^2+3-1) 3x(x^2+3x-1) prime

Firdavs [7]

Answer:

Answer from the answer data to choose from

Factor completely

$3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)$

Step-by-step explanation:

$3x^2+9x-3=(3)(x^2)+(3)(3x)-(3)(1)\\\\=(3)(x^2+3x-1)\\\\\text{For}\ x^2+3x-1\ \text{use the quadratic formula}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x^2+3x-1\to a=1,\ b=3,\ c=-1\\\\x=\dfrac{-3\pm\sqrt{3^2-4(1)(-1)}}{2(1)}=\dfrac{-3\pm\sqrt{9+4}}{2}=\dfrac{-3\pm\sqrt{13}}{2}=-\dfrac{3\pm\sqrt{13}}{2}\\\\3x^2+9x-3=3\left(x+\dfrac{3-\sqrt{13}}{2}\right)\left(x+\dfrac{3+\sqrt{13}}{2}\right)$

4 0

3 years ago

Evaluate. or Calculate the value

natta225 [31]

-- The difference of 2 logs is the log of the quotient of their arguments.

 log(11) - log(6) = log(11/6)

-- 1/3 of the log of something is the log of its cube root.

 1/3 log(8) = log(∛8) = log(2)
and
 1/3 log(729) = log(∛729) = log(9)

-- If a bunch of logs all have the same base, then their sum
is the log of the product of the arguments. So ...

 log(11) - log(6) + 1/3 log(8) + 1/3 log(729) =

 log(11/6 times 2 times 9) =

 log( 11*18 / 6 ) = log(33)

 log(33) = about 1.519 (rounded)

============================================

The other way:

log(11) = 1.0414
-log(6) = -0.7782
log(8) = 0.9031
 1/3(0.9031) = 0.3010
log(729) = 2.8627
 1/3(2.8627) = 0.9542
 -----------
Adum up: 1.5184

(Note: Everything is rounded.)

3 0

3 years ago