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borishaifa [10]
3 years ago
15

9. If each of the following pairs represents a pair of equivalent rational

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

-35/6

Step-by-step explanation:

We need to find the value of x , And the given pair of Rational numbers are equal.

<u>Question</u><u> </u><u>(</u><u>I)</u><u> </u><u>:</u><u>-</u><u> </u>

→ 3/4 = 7/x

→ 7/x = 3/4

→ 1/x = 3/4 × 1/7

→ 1/x = 3/28

→ x = 28/3

<u>Question</u><u> (</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>

→ x/7 = -5/6

→ x = -5/6 × 7

→ x = -35/6

<h3>• Hence the value of x is -35/6 .</h3>
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ANSWER ASAP |What is the measure of angle x?
Marina86 [1]

Answer:

x = 83°

Step-by-step explanation:

41, 56 and the missing angle = 180° ( form a straight angle )

missing angle = 180° - (41 + 56)° = 180° - 97° = 83°

The angle x and the missing angle are vertically opposite and congruent

Hence x = 83°

8 0
3 years ago
8-3x=17 solve for x and check your answer.
nasty-shy [4]

Answer:

<em>x = 3</em>

Step-by-step explanation:

8 - 3x = 17

<em>You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).</em>

3x = 17 - 8

3x = 9

<em />

<em>Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...</em>

x = 9 ÷ 3

x = 3

4 0
3 years ago
Read 2 more answers
What is the probability that all the roots of x2 + bx + c = 0 are real? [0,1]?
notsponge [240]

x^2+bx+c will have real roots when the discriminant of the quadratic, \Delta=b^2-4c, is non-negative, i.e.

b^2-4c\ge0\implies b^2\ge4c

Your question about probability is currently impossible to answer without knowing exactly what the experiment is. Are you picking b,c at random from some interval? Is the choice of either distributed a certain way?

I'll assume the inclusion of "[0,1]" in your question is a suggestion that both b,c are chosen indepently of one another from [0, 1]. Let B,C denote the random variables that take on the values of b,c, respectively. I'll assume B,C are identical and follow the standard uniform distribution, i.e. they each have the same PDF and CDF as below:

f_X(x)=\begin{cases}1&\text{for }0

F_X(x)=\begin{cases}0&\text{for }x

where X is either of B,C.

Then the question is to find P(B^2\ge4C). We have

P(B^2\ge4C)=P\left(C\le\dfrac{B^2}4\right)

and we can condition the random variable C on the event of B=b by supposing

P\left(C\le\dfrac{B^2}4\right)=P\left(\left(C\le\dfrac{B^2}4\right)\land(B=b)\right)=P\left(C\le\dfrac{B^2}4\mid B=b\right)\cdot P(B=b)

then integrate over all possible values of b.

=\displaystyle\int_{-\infty}^\infty P\left(C\le\dfrac{b^2}4\right)f_B(b)\,\mathrm db

=\displaystyle\int_{-\infty}^\infty F_C\left(\dfrac{b^2}4\right)f_B(b)\,\mathrm db

=\displaystyle\int_0^1\dfrac{b^2}4\,\mathrm db=\frac1{12}

4 0
3 years ago
I WILL MARK THE BRAINLIEST A baker tops each specialty cupcake with a flower that he makes from buttercream frosting. He can mak
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Answer:

The answer will be C) 7

5 0
3 years ago
Please need this answer fast it is the last piece to my pie chart for math!!!! A catering service offers 3 appetizers, 5 main co
Brut [27]
To find in how many ways this can be done, we can use the method of combination.

As the customer have to choose 2 out of 3 appetizers, the combination would be 3C2.

For 4 out of 5 main courses, the combination wouls be 5C4.

For 6 out of 8 desserts, the combination would be 8C6.

We can then combine them into a single equation to find the answer:

3C2 x 5C4 x 8C6
=420

Therefore, the answer is 420 ways.

Hope it helps!
7 0
3 years ago
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