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Nastasia [14]
2 years ago
12

Question 3 of 10 Evaluate: (4/5) 1/2 O A. 2/25 O B. 2/5 O C.4:5 O D.4/25

Mathematics
1 answer:
Natasha2012 [34]2 years ago
5 0

Answer:

2/5

Step-by-step explanation:

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How do you answer a, b and c, answers and also how you worked it out
Kruka [31]

We can either convert to standard form first or convert to a common multiplier, kinda like a common denominator.  The latter makes more sense if they wanted the result in scientific notation, but let's do it that way anyway.

a)

4.5 × 10⁴ + 3.8  × 10³ = 45 × 10³ + 3.8  × 10³ = 48.8× 10³ = 48,800

Answer:  48,800

b)

4.5 × 10⁴ - 3.8  × 10³ = 45 × 10³ - 3.8  × 10³ = 41.2× 10³ = 41,200

Answer:  41,200

c)

7.2 × 10⁻³ + 6.3  × 10⁻² = 7.2 × 10⁻³ + 63  × 10⁻³ = 70.2 × 10⁻³

       = 7.02 × 10⁻² = 0.0702

Answer: 0.0702

4 0
3 years ago
you have 1 case of soap bars and there are 150 bars in a case. you have 300 bars of soap per day. how many cases do you need to
kvv77 [185]
14 cases is the answer to your question.
6 0
3 years ago
Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 669 randoml
Lady_Fox [76]

Answer:

a) p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

b) Null hypothesis:p = 0.39

Alternative hypothesis:p \neq 0.39

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The true proportion of adults that would erase all their personal information online if they could is 0.39 or 39%". So we want to check if the population proportion is different from 0.39 or 0.39%, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Part a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.

p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

Part b. Identify the null and alternative hypotheses.

Null hypothesis:p = 0.39

And for the alternative hypothesis we have    

Alternative hypothesis:p \neq 0.39  

6 0
3 years ago
The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines
miv72 [106K]

Answer:

  ∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

  ∠RSU +∠UST = ∠RST

__

  78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

  54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

  108 = 6x . . . . . . . . . . . multiply by 2

  120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

_____

<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.

7 0
1 year ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
MAXImum [283]

Answer:

  • x = 15/p
  • x = -3

Step-by-step explanation:

<u>Given expression</u>

  • 4(px+1)=64

<u>Solving for x</u>

  • 4px + 4 = 64
  • 4px = 60
  • px = 15
  • x = 15/p

<u>Value of x when p= - 5</u>

  • x = 15/(-5) = -3
3 0
2 years ago
Read 2 more answers
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