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Dominik [7]
2 years ago
10

Help plzzzz.................

Mathematics
1 answer:
insens350 [35]2 years ago
7 0

Answer:

a = 6, b = - 12

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms to those on the right side.

a(4x - 10) ← distribute parenthesis

= 4ax - 10a

Compare to 24x + 5b , then

4a = 24 ( divide both sides by 4 )

a = 6

Then

5b = - 10a = - 10(6) = - 60 ( divide both sides by 5 )

b = - 12

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A rectangle is 9 ft long and 40 in. wide. What is its<br> area in square feet?
Bad White [126]

Answer:

29.97 square feet

Step-by-step explanation:

Given

The length of rectangle = 9 ft

The width of rectangle = 40 in

We have to bring the length and width in same unit. As the area is required in square feet so we will convert width in feet

The width will be divided by 12 to be onverted into feet

So,

Width = 40/12 = 3.33 feet

Now

Area = Length * width

= 9 * 3.33

= 29.97 square feet ..

7 0
3 years ago
Read 2 more answers
Compare and contrast the radius, and the diameter of a circle. How are they alike? How are they different?
Furkat [3]
You should take into account that the radius is half the diameter and the diameter is the length from the side to side of a circle.
5 0
2 years ago
8. What is the result of (11x + 18i)(117 - 18i)?
Nonamiya [84]
1287x + 342 +(-198x + 2106) i
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3 years ago
A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio
Reptile [31]

Answer:

The probability is P(|p-\^{p}| >  0.03)  =   0.0040

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.07

   The mean of the sampling distribution is   \mu_p =  0.07

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

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

=>    \sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }    

=>    \sigma_p  =  0.010416    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )

Now  add p  to  both side of the inequality

=>   P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )

Now  converting the probabilities to their respective standardized score

=> P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )

=> P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )

=>   P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)]

From the z-table  

       P(Z \le 2.88)  =  0.9980

and

       P(Z \le -2.88)  = 0.0020

So

     P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020]

=>   P(|p-\^{p}| >  0.03)  =   0.0040

     

7 0
3 years ago
explain the pattern used to place the decimal in the answer when you multiply or divide a decimal by a power of 10
taurus [48]
All you are really doing is if you divide you are moving the decimal to the left and when you times you are moving the decimal to the right 
7 0
2 years ago
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