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1 year ago

If 2x+z=2y and 2x+2y+z=20 what is the value of y?

Mathematics

1 answer:

mixer [17]1 year ago

3 0

$2x+z=2y\to2x=2y-z\\\\substitute\ to\ 2x+2y+z=20:\\\\(2y-z)+2y+z=20\\2y-z+2y+z=20\\4y=20\ \ \ \ /:4\\y=5\to answer$

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For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is un

ikadub [295]

Answer:

b) 0.0608

Step-by-step explanation:

As it is mentioned that the next two days i.e 24 hours, the probability of the rain is uniformly distributed

Therefore the rain probability is

$= \frac{T}{24}$

where,

T = Length of the time interval

Plus, as we know that rain is independent

So let us assume the rain between the 8: 40 AM and 2: 35 PM on single day is P1 and the time interval is 5 hours 55 minutes

i.e

= 5.91666 hours long.

So, P1 should be

$= \frac{5.91666}{24}$

= 0.2465

Now we assume the probability of rain on day 2 is P2

So it would be same i.e 0.2465

Since these events are independent

So, the total probability is

$= 0.2465 \times 0.2465$

= 0.0608

Hence, the b option is correct

3 0

2 years ago

The distribution of the amount of a customer’s purchase at a convenience store is approximately normal, with mean $15.50 and sta

viktelen [127]

Answer:

0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

Step-by-step explanation:

Mean = $\mu = 15.50$

Standard deviation = $\sigma = 1.72$

We are supposed to find the proportion of customer purchase amounts between $14.00 and $16.00

P(14<x<16)

Formula : $z=\frac{x-\mu}{\sigma}$

At x = 14

$z=\frac{14-15.50}{1.72}$

$z=-0.8720$

Refer the z table for p value

P(x<14)=0.1922

At x = 16

$z=\frac{16-15.50}{1.72}$

$z=0.290$

Refer the z table for p value

P(x<16)=0.6141

P(14<x<16)=P(x<16)-P(x<14)=0.6141-0.1922=0.42

So, Option C is true

Hence 0.42 is closest to the proportion of customer purchase amounts between $14.00 and $16.00

4 0

1 year ago

Evaluate. 58−(14)2=58-142= ________

nasty-shy [4]

For this case we have the following expression:

$58- (14) ^ 2$

The first step is to solve the quadratic term.

We have then:

$58- (14) ^ 2 = 58-196$

Then, the second step is to subtract both resulting numbers:

$58- (14) ^ 2 = -138$

We observe that the result obtained is a negative number.

Answer:

The result of the expression is given by:

$58- (14) ^ 2 = -138$

7 0

1 year ago

The quotient of 24 and x equals 14 minus 2 times x (into an equation don’t solve)

Katen [24]

Answer:

24 / x = 14 - 2x

Step-by-step explanation:

Quotient means division (÷ or /)

Quotient of 24 and x = 24 ÷ x

24 ÷ x is equivalent to 24 / x

14 minus 2 times x = 14 - 2x

So, the equation is

24 / x = 14 - 2x

7 0

1 year ago

a teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. what fraction of

motikmotik

(1/3)t = (2/3)c, where "t" is for teapot and "c" is for the container.
Multiply both sides by (3/2) in order to get 1 on the right-hand side.
(3/2)(1/3)t = (3/2)(2/3)C
simplify the equation to get the answer which is:
(1/2) teacup = 1 full container.
Hope this helps :)

4 0

1 year ago