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dem82 [27]
3 years ago
7

Given the equation 4X +7 = 3 (2x -5 ) solve for the variable explain each step in justify your process

Mathematics
1 answer:
alexandr1967 [171]3 years ago
5 0

Answer:

x = 11

Step-by-step explanation:

4x + 7 = 6x -15

4x - 6x = -15-7

-2x = -22 / : (-2)

x = 11

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)

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In a triangle find y
Softa [21]
5 using the Pythagorean theory
6 0
3 years ago
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in one year dog's weigh from 64 pounds to 80 pounds . by what percentage did the dog's weght increase
Masja [62]

Answer:

15%

Step-by-step explanation:

First, let's find how many pounds the dog's weight increased by during the year.

80 - 64 = 16

Now, knowing that the dog's weight increased by 16 pounds, we can use that to figure out the percentage of 16 out of 64 (divide them, then multiply by 100 to get a percentage).

\frac{16}{64} • 100 = 0.25 • 100 = 25%

8 0
3 years ago
The composite figure is made up of a triangle, a square and a trapezoid find the area
anygoal [31]
<h3>Answer:   65 square units</h3>

===============================================

Work Shown:

P = area of triangle

P = 0.5*base*height

P = 0.5*5*4

P = 10 square units

----------------

Q = area of square

Q = side*side

Q = 5*5

Q = 25 square units

----------------

R = area of trapezoid

R = height*(base1+base2)/2

R = 5*(7+5)/2

R = 5*12/2

R = 60/2

R = 30

----------------

T = total area of the entire figure

T = P+Q+R

T = 10+25+30

T = 65 square units

8 0
3 years ago
Read 2 more answers
A scientist claims that 9% of viruses are airborne.
Aleksandr [31]

Answer:

The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\mu_{\hat p}=p  

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

The information provided is:

<em>n</em> = 596

<em>p </em>= 0.09

As the sample size is quite large, i.e. <em>n</em> = 596 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.

The mean and standard deviation are:

\mu_{\hat p}=p=0.09\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.09(1-0.09)}{596}}=0.012

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:

P(\hat p-p>0.03)=P(\hat p>0.12)

                         =P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.12-0.09}{0.012})\\\\=P(Z>2.5)\\\\=1-P(Z

Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

5 0
3 years ago
Julio has $40.00 to rent bikes for himself and a friend for 5 hours. Each bike rental costs $3.25 per hour.
Inessa05 [86]
5 × 3.25= 16.25 then 16.25 + 16.25 = $32.50 < thats the answer.
5 0
3 years ago
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