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Phantasy [73]
3 years ago
5

Reduce then calculate 7/8 x 4/15 x 3/7 = ? Can you help?

Mathematics
1 answer:
Zepler [3.9K]3 years ago
8 0

since this is a multiplication, all the numerators are just factors of the product numerator and all denominators are just factors of the product denominator, so we can simply reorder them some, without changing the product.


\bf \cfrac{7}{8}\times \cfrac{4}{15}\times \cfrac{3}{7}\implies \cfrac{7}{7}\times \cfrac{4}{8}\times \cfrac{3}{15}\implies \cfrac{1}{1}\times \cfrac{1}{2}\times \cfrac{1}{5}\implies \cfrac{1\cdot 1\cdot 1}{1\cdot 2\cdot 5}\implies \cfrac{1}{10}

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3 years ago
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Romashka-Z-Leto [24]
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          <u>-22         -22</u>
                   <u>3x</u> = -<u>2</u>
                    3      3
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2. 6(2x - 3) = 3(3 - 5)
    12x - 18 = 3(-2)
    12x - 18 = -6
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            12     12
               x = 1

3. 6x - 14 = 2(3x - 7)
    6x - 14 =  -3x
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            6     6
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4. 6x + 3(x - 4) = 8(x - 3)
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8 0
3 years ago
In a newspaper poll concerning violence on television, 589 people were asked, "What is your opinion of the amount of violence on
abruzzese [7]

Answer:

(a) P(Y'|M)\approx 0.3297

(b) P(Y|M')\approx 0.8323

(c) P(Y'|M')\approx 0.1323

Step-by-step explanation:

Given table is

                Yes      No      Don't Know      Total

Men          162      92             25               279

Women      258    41              11               310

Total          420    133            36                589

According the the conditional probability, if A and B are two event then

P(A|B)=P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}

We need to find the following probabilities.

Let Y is the event "saying yes," and M is the event "being a man."

(a)

P(Y'|M)=\frac{P(Y'\cap M)}{P(M)}

P(Y'|M)=\frac{\frac{92}{589}}{\frac{279}{589}}

P(Y'|M)=\frac{92}{279}

P(Y'|M)=0.329749103943

P(Y'|M)\approx 0.3297

(b)

P(Y|M')=\frac{P(Y\cap M')}{P(M')}

P(Y|M')=\frac{\frac{258}{589}}{\frac{310}{589}}

P(Y|M')=\frac{258}{310}

P(Y|M')=0.832258064516

P(Y|M')\approx 0.8323

(c)

P(Y'|M')=\frac{P(Y'\cap M')}{P(M')}

P(Y'|M')=\frac{\frac{41}{589}}{\frac{310}{589}}

P(Y'|M')=\frac{41}{310}

P(Y'|M')=0.132258064516

P(Y'|M')\approx 0.1323

5 0
3 years ago
How can I find the x value?<br>How can I explain it?<br><br>PLEASE ANSWER THE QUESTION!!!
Jlenok [28]
Answer:

Step-by-step explanation:
Discussion
What you have presented is called a cyclic quadrilateral. A cyclic quadrilateral is a 4 sided figure whose angles (4 of them) all touch the circumference of a circle.

Here's what you want to know. Two angles that are opposite each other are supplementary (they add to 180 degrees)

Equation
x + 80 = 180 Subtract 80 from both sides.

Solution
x + 80 - 80 = 180 - 80 Combine
x = 100

Answer
x = 100

8 0
1 year ago
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