Step-by-step explanation:
4x - 9 = 23
4x = 32
x = 8
the number is 8.
-4 + 6 = 2, so the high that day was 2 degrees. Since we're finding the high, and -4 is the low, it would not make sense for us to subtract 6 from -4, which would result in an even lower number. Thus, we add to find out the high.
Hope this helps! Have a great day :)
Answer:
25
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 175cm
Standard deviation = 6 cm
Percentage of students below 163 cm
163 = 175 - 2*6
So 163 is two standard deviations below the mean.
By the Empirical rule, 95% of the heights are within 2 standard deviations of the mean. The other 100-95 = 5% are more than 2 standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of them are more than 2 standard deviations below the mean(so below 163cm) and 2.5% are more than two standard deviations above the mean.
2.5% of the students have heights less than 163cm.
Out of 1000
0.025*1000 = 25
25 is the answer
Answer:
B. 14.34
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between the side opposite the angle of interest and the hypotenuse:
Sin = Opposite/Hypotenuse
For the given triangle, this means ...
sin(35°) = b/25
b = 25·sin(35°)
b ≈ 14.34
I can't write the symbol, but it would be X<30 and the <would have a horizontal line under it so that it would mean x is less than or equal to 30
