Answer:
x = 9.125 and 0.875
Step-by-step explanation:
Given the expression
log (x² + 8) = 1 +log(x)?
This can also be written as;
log (x² + 8) = log 10 +logo(x)
log (x² + 8) = log(10x)
(x² + 8) = (10x)
x² -10x + 8 = 0
Factorize;
x = 10±√(-10)²-4(8)/2
x = 10±√100-32/2
x = 10±√68/2
x = 10±8.25/2
x = 10+8.25/2 and 10-8.25/2
x = 18.25/2 and 1.75/2
x = 9.125 and 0.875
Answer:
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Step-by-step explanation:
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Answer:
<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
μ of the time a group of boys run the mile in its secondary- school fitness test = 440 seconds
σ of the time a group of boys run the mile in its secondary- school fitness test = 40 seconds
2. Find the probability that a randomly selected boy in school can run the mile in less than 348 seconds.
Let's find out the z-score, this way:
z-score = (348 - 440)/40
z-score = -92/40 = -2.3
Now let's find out the probability of z-score = -2.3, using the table:
p (-2.3) = 0.0107
p (-2.3) = 0.0107 * 100
p (-2.3) = 1.1% (rounding to the next tenth)
<u>The probability that a randomly selected boy in school can run the mile in less than 348 seconds is 1.1%.</u>
Answer:
Part 1) The number of cups of flour needed to make 4 pizzas is 26
Part 2) The number of pizzas Luigi can make with 13 cups of flour is 2
Step-by-step explanation:
we know that
Luigi uses 39 cups of flour for every 6 pizzas he makes
Let
y ----> the number of cups of flour used
x ---> the number of pizzas he makes
In this problem
The relationship between the variables x, and y, represent a proportional variation
we have the ordered pair (6,39)
so
Part 1) Find out the number of cups of flour needed to make 4 pizzas
using a proportion
Solve for y
Part 2) Find out the number of pizzas Luigi can make with 13 cups of flour
using a proportion
Solve for x