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just olya [345]
3 years ago
7

How do yu solve log7-2log 12 ?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0
Log 7 - 2log 12 = log \frac{7}{ 12^{2} } ≈ -1.31
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What is the least common multiple of the two denominators?
rusak2 [61]

Answer:

32

Step-by-step explanation:

32 × 1 = 32

8 × 4 = 32

Therefore, the LCM is 32

8 0
3 years ago
5. The point (-7, 4) is reflected over the line x = -3. Then,
Genrish500 [490]

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

6 0
3 years ago
Find the area under the standard normal curve to the left of
JulijaS [17]
A. z = 0.74
  The z-score of 0.74 translates to a percentile of 0.77035. Hence, the area under the standard normal curve to the left of z-score 0.74 is ~0.77.

b. z = -2.16
   This z-score translates to a percentile of 0.015386 which is also the numerical value of the area under the curve to the left of the z-score

c. z = 1.02
   The percentile equivalent of the z-score above is 0.846. The area is also 0.846.

d. z = -0.15
   The percentile equivalent and the area is equal to 0.44. 
6 0
3 years ago
A lifeguard fills a pool with water at a constant rate. After 1/2 hour, 1/3 of the pool is filled.
Romashka-Z-Leto [24]

Answer: 2/3 of an hour.

Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour.  If she fills it for an hour, she'll get 2/3 of the pool filled.  Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.

Hope this helps! :)

4 0
2 years ago
Read 2 more answers
(a) How would you characterize the relationship between money spent on advertising and items sold?
Mashcka [7]

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

y= 1.6x+ 21.5

We put x = 30

y(30)= 1.6(30)+ 21.5\\y(30) = 69.5

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

y = mx + c

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

8 0
3 years ago
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