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Fed [463]
3 years ago
8

Drag each tile to the correct box.

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

  1. 15 - 7 (Parentheses)
  2. 3² (Exponents)
  3. 8 × 2 (Multiplication)
  4. 40 ÷ 8 (Division)
  5. 5 + 9 (Addition starting from the leftmost)
  6. 14 + 16 (Addition after the first addition operation)

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

  • <u>P</u>arentheses
  • <u>E</u>xponents
  • <u>M</u>ultiplication
  • <u>D</u>ivision
  • <u>A</u>ddition
  • <u>S</u>ubtraction

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. <u>For extra</u>, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

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Solve 2(1 – x) &gt; 2x<br> PLEASE HELP!
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Answer:

x<1/2

Step-by-step explanation:

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3 years ago
Most dermatologists recommend using sunscreens that have a Sun Protection Factor (SPF) of at least 30. One of the authors wanted
Basile [38]

Answer:  We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.95=0.05

Sample size : n= 52 , which is a large sample (n>30), so we use z-test.

By using z-value table,

Critical value: z_{\alpha/2}=1.96

Sample mean : \overline{x}= 34.55

Standard deviation : \sigma= 20.12

The confidence interval for population means is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 34.55\pm(1.96)\dfrac{ 20.12}{\sqrt{52}}

=34.55\pm5.46867829455\\\\\approx34.55\pm5.4687\\\\=(34.55-5.4687, 34.55+5.4687)=(29.0813,\ 40.0187)

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)

Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.

7 0
3 years ago
Which could be the area of the face of the rectangular prism
iogann1982 [59]
Only (2 m)(3 m) = 6 m^2 and (2 m)(4 m) = 8 m^2 could be correct.  Make your choice based upon these results.


4 0
3 years ago
Read 2 more answers
A triangular prism has a triangular end with a base of 9 inches and a height of 7 inches.
Verizon [17]

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259.15

Step-by-step explanation:

3 0
3 years ago
Tan 235° = 2tan20°+ tan215°​
Mariulka [41]

Given :  tan 235 = 2 tan 20 + tan 215

To Find : prove that

Solution:

tan 235 = 2 tan 20 + tan 215

Tan x = Tan (180 + x)

tan 235 = tan ( 180 + 55) = tan55

tan 215 = tan (180 + 35) = tan 35

=> tan 55 = 2tan 20 + tan 35

55 = 20 + 35

=> 20  = 55 - 35

taking Tan both sides

=> Tan 20 = Tan ( 55 - 35)

=> Tan 20  = (Tan55 - Tan35) /(1 + Tan55 . Tan35)

Tan35 = Cot55 = 1/tan55 => Tan55 . Tan35 =1

=> Tan 20  = (Tan 55 - Tan 35) /(1 + 1)

=> Tan 20  = (Tan 55 - Tan 35) /2

=> 2 Tan 20  = Tan 55 - Tan 35

=> 2 Tan 20 +  Tan 35 = Tan 55

=>  tan 55 = 2tan 20 + tan 35

=>  tan 235 = 2tan 20 + tan 215

QED

Hence Proved

5 0
3 years ago
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