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Tatiana [17]
4 years ago
11

Apply the distributive property to write an equivalent expression 21b + 23c

Mathematics
1 answer:
klemol [59]4 years ago
4 0

Answer:

7 (3b + 23/7 c)

Step-by-step explanation:

Normally, distributive property to find out a common denominator requires both constants (21 and 23) to have a common denominator which isn't present in this case. Therefore, you would require a fraction in your answer.

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A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, we stop. If no
Airida [17]

Answer:

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

Step-by-step explanation:

Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply  

p=(4 2)*(4 2)/(8 4)

This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence  

P(X = n) = (1— p)^n-1 *( p )

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

3 0
3 years ago
Mr. Jones teaches 154 students in 7 classes. How many
ArbitrLikvidat [17]
154 divided by 7 i think

so 22 students per class

Mr. Jones has 22 students per class
6 0
4 years ago
If Z is the midpoint of segment RT, what are RZ, and RT?
Phantasy [73]
RZ and RT are equal (or congruent).
3 0
3 years ago
Evaluate 5(x-1)-2when x=3
Ugo [173]

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

6 0
3 years ago
Read 2 more answers
The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value
Sladkaya [172]

Given:

The equation is:

3x-8y=k

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of <em>k</em>.

Solution:

We have,

3x-8y=k

Substituting x=0 to find the y-intercept.

3(0)-8y=k

0-8y=k

y=\dfrac{k}{-8}

y=-\dfrac{k}{8}

Substituting y=0 to find the x-intercept.

3x-8(0)=k

3x-0=k

x=\dfrac{k}{3}

Area of a triangle is:

A=\dfrac{1}{2}\times base\times height

The height of the ∆AOB is OB=\dfrac{k}{8} because distance cannot be negative and the base of the ∆AOB is OA=\dfrac{k}{3}. So, the area of the ∆AOB is:

A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}

A=\dfrac{k^2}{48}

It is given that, the area of ∆AOB = 12 sq.units.

\dfrac{k^2}{48}=12

k^2=576

k=\pm \sqrt{576}

k=\pm 24

Therefore, the value of k is either 24 or -24.

4 0
3 years ago
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