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const2013 [10]
3 years ago
14

When the same whole number is added to both the numerator and denominator of $\frac{2}{5}$, the value of the new fraction is $\f

rac{2}{3}$. What number was added to both the numerator and denominator
Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

Correct answer: x = 4

Step-by-step explanation:

If I saw your fractions right it's like this:

(2 + x) / (5 + x) = 2 / 3 => 3 (2 + x) = 2 (5 + x) => 6 + 3 x = 10 + 2 x

3 x - 2 x = 10 - 6  => x = 4

We will check

2 + 4 / 5+ 4 = 6 / 9  

When we divide both numerator and denominator

with 3 we get 2/3

God is with you!!!

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Suppose that it is known that the number of items produced in a factory during a week is a random variable with mean 50. If the
iVinArrow [24]

Answer:

The probability would be 0.9586

Step-by-step explanation:

Given,

Mean, \mu = 50,

Variance, \sigma^2 = 24

Standard deviation,

\sigma = \sqrt{24}=2\sqrt{6},

If X represents the number of items produced in a factory during a week.

Hence, the probability that this weeks production will be between 40 and 60

=P(40 < X < 60)

=P(\frac{40-\mu}{\sigma} < \frac{X-\mu}{\sigma} < \frac{60-\mu}{\sigma})

=P(\frac{40-50}{2\sqrt{6}} < z < \frac{60-50}{2\sqrt{6}})

=P(-\frac{10}{2\sqrt{6}} < z < \frac{10}{2\sqrt{6}})

=P(-2.041 < z < 2.041)

=P(z< 2.041) - P(z< -2.041)

Using z score table

= 0.9793 - 0.0207

= 0.9586

4 0
3 years ago
Number 9 on my integrated geometry test
Advocard [28]

Answer:

4/5

Step-by-step explanation:

With reference angle E

Sin E = FG / EF

= 4/5

4 0
3 years ago
Find the value of x in the figure below:
erastova [34]

Answer:

x = 25

Step-by-step explanation:

The interior angle adjacent to the 123° angle is supplementary to it.

Its measure is 180° - 123° = 57°

The sum of the measures of the interior angles of a polygon is

(n - 2)180° = (4 - 2)180° = 2(180°) = 360°

3x + 7 + 96 + 5x + 57 = 360

8x + 160 = 360

8x = 200

x = 25

6 0
2 years ago
Help pls i’m too dumb to know what I’m doing right now
Finger [1]
20+2x6

I don’t know. I just hope I’m helpful
6 0
3 years ago
HELP ME WITH THIS PLZZZZ​
CaHeK987 [17]
Answer: 17

It’s 17 because they are the same shape and size just are flipped
5 0
2 years ago
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