Write as an algebraic expression: a number that is 5 more than half of z
2 answers:
Hey there!
We'll use our keyword of, which means we're multiplying. For example:
1/2 of 6 means 1/2 times 6, which equals three.
In our case, we want one half <em>of</em> z, meaning one half times z. That means we have:
Now, we have to add the "five more". This means the quantity of one half of z is increased by 5, also known as adding 5. Therefore, we have:
Hope this helps!
We'll use our keyword of, which means we're multiplying. For example:
1/2 of 6 means 1/2 times 6, which equals three.
In our case, we want one half <em>of</em> z, meaning one half times z. That means we have:
Now, we have to add the "five more". This means the quantity of one half of z is increased by 5, also known as adding 5. Therefore, we have:
Hope this helps!
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Given:
The inequalities are:
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
For , the possible integer values are
...(i)
For , the possible integer values are
...(ii)
The common values of x in (i) and (ii) are
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
