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kap26 [50]
3 years ago
14

Is the ratio 4.2:1.5 proportional to the ratio 12:5

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0
Yes this is proportional! 
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Given that two terms of an arithmetic sequence are u5 = -3.7 and u15 = -52.3, find the value of the 19th term. ​
Mazyrski [523]

Answer:

  a19 = -71.74

Step-by-step explanation:

The general term of an arithmetic sequence with first term a1 and common difference d is ...

  an = a1 +d(n -1)

The given 5th and 15th terms tell us ...

  -3.7 = a1 +d(5 -1)

  -52.3 = a1 +d(15 -1)

Subtracting the first of these equations from the second, we find ...

  10d = -48.6

  d = -4.86 . . . . . . divide by 10

The 19th term will be ...

  a19 = a1 +d(19 -1)

Subtracting the 15th term from this, we find ...

  a19 -a15 = 4d

  a19 = 4d +a15 = 4(-4.86) +(-52.3)

  a19 = -71.74

4 0
2 years ago
A food store owner wants to determine the type of products customers prefer to buy. The owner surveyed 40 customers on a day whe
lora16 [44]
There is not a fixed boundary line as to when the sample size should be considered appropriately large but the rule of thumb is a sample size larger than 30 is sufficient enough to assume that the data is normally distributed. Since the sample size in this case is 40, we can consider it appropriately large and use Normal Distribution to deduce the results.

Sample Size = n = 40
Proportion of customer who prefer organic food= p = 40% = 0.40
Confidence Level = 95%
Z score at the confidence Level = z = 1.96

Margin of Error for the population proportion is calculated as:

M.E=+-z \sqrt{ \frac{p(1-p)}{n} }

Using the values, we get:

M.E=+-1.96 \sqrt{ \frac{0.4*0.6}{40} }=+-0.152

Thus, the option B gives the correct answer.
As the sample size is appropriately large, the margin of error is ±0.152. 
6 0
3 years ago
(13 - 10 1/3 )+ 2 2/3
Komok [63]
The answer is 17 hope it helps
6 0
3 years ago
Read 2 more answers
What is mZ1?<br> 820<br> 660<br> 1
Tresset [83]

Answer:

∠1 = 148°

Step-by-step explanation:

the triangle interior angles = 180°

the unknown interior angle = 180° - 82° - 66° = 32°

∠1 = 180° - 32° = 148°  because it is supplementary to 32°  (adds together to total 180°)

8 0
3 years ago
Simplify 4a2(a3)/16b(b2)
timurjin [86]

4a²(a³)/16b ( b²)

4a⁶/16b³

= a⁶/4b³

4 0
3 years ago
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