Answer:
Let y represents the ounces of first spice.
From the given statements, we draw a table as shown below:
ounces of spice Percentage ounces of salt
First spice y 3% 0.03x
Second spice 175 6% 175(0.06)
Final mixture y + 175 5% (x+15)(0.05)
Now, to solve for y
we have;
Final spice = First spice + second spice
Subtract 10.5 on both sides we have;
Simplify:
Subtract 0.05y on both sides
Simplify:
Divide both sides by -0.02, we get;
Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt
Answer:
Step-by-step explanation:
Unit rate = 128 ÷ 16 = 8$
Sec Ф=1/cos Ф=cos⁻¹Ф
correct answers: a. sec Ф=cos⁻¹Ф and d. sec Ф=1/ cos Ф
Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:
Z = -0.1
Z = -0.1 has a p-value of 0.4602.
1 - 0.4602 = 0.5398.
0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
B. Positive slope
Step-by-step explanation:
The line on the graph is positive, as it grows from left to right.
