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rodikova [14]
2 years ago
11

How do you solve this logarithmic equation? 3x-5=log(down arrow)2 1024

Mathematics
2 answers:
Yuliya22 [10]2 years ago
7 0
3x -5 = log base2 1024
Log base 2 1024 can be rewritten log (base 2) 2^10
log (base 2) 2^10 =
10 * log (base 2) 2
log (base 2) 2 = 1
So 10 * log (base 2) 2 = 10
3x -5 = 10
Add 5 to both sides
3x = 15
Divide both sides by 3
x = 5
Marrrta [24]2 years ago
6 0
What does down arrow mean
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A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackth
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Complete Question

A set of magical wand prices are normally distributed with a mean of 50 dollars and a standard deviation of 4 dollars. A blackthorn wand has a price of 45.20. What proportion of wand prices are lower than the price of the blackthorn wand? You may round your answer to four decimal places

Answer:

0.1151

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $45.20

μ is the population mean = $50

σ is the population standard deviation = $4

We are solving for x < 45.20

Hence:

z = 45.20 - 50/4

z = -1.2

Probability value from Z-Table:

P(x<45.20) = 0.11507

Approximately to 4 decimal places = 0.1151

Therefore, the proportion of wand prices that are lower than the price of the blackthorn wand is 0.1151

8 0
2 years ago
mrs. lbare wrote three decimals on the bored follwed by the two blank spaces. Complete the sequence of numbers
andrew11 [14]
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3 years ago
Johnny bought an oil painting originally priced at $80 but on sale for for 50% off. After 10% sales tax, what was the total cost
Alecsey [184]

Answer:

$44

Step-by-step explanation:

Original price = $80

Discount on sale = 50%

Discounted price = (1 - 50%) * original price

Discounted price = 0.5 * $80 = $40

Sales tax = 10%

Sales tax amount = 0.1 * $40 = $4

Total cost = discounted price + sales tax amount

Total cost = $40 + $4 = $44

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2 years ago
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lapo4ka [179]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
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