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jarptica [38.1K]
3 years ago
10

It is cloudy outside. What is the first step of indirectly proving this statement?

Mathematics
1 answer:
Orlov [11]3 years ago
5 0
State the opposite (inverse) of that statement:
It is not cloudy outside.
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A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A
tatuchka [14]

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

6 0
3 years ago
Factor completely 3x3 − 6x2 − 24x. 3x(x − 4)(x + 2) 3x(x + 4)(x − 2) 3x(x − 3)(x − 2) 3x(x + 3)(x − 2)
inysia [295]

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

- 4 × 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4)(x + 2) and

3x³ - 6x² - 24x = 3x(x - 4)(x + 2)

7 0
3 years ago
2/3 is what percent of 1/4
mario62 [17]
2/3 is 266.66% of 2/4.

(2/3)(1/4)=(2/3)(4/1)=8/3=2 2/3=2.6666=266.66

hope this helps!!
4 0
3 years ago
There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being
Natalija [7]
Well, the keyword here is One of the performers insist on being the last.

So, the amount of performers that we can arrange freely is 7 performers.

Different ways we can schedule their appearance is :

7 ! = 7 x 6  x 5 x 4 x 3 x 2 x 1
   
 
    = 5040

hope this helps
5 0
3 years ago
Martha constructs the table below to show the relationship between her cell phone's age and the amount of time it takes to charg
Alexeev081 [22]

Answer:

D

Step-by-step explanation:

To find the rate of increase all you have to do is take one of the data sets to see that every two months its charge time increases by 15 minutes or 7.5 minutes every month.

4 0
3 years ago
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