Answer:
A. 56-6m<20
B. 2.95b+28<450
13. Less than, greater than, going over or not going over.
Step-by-step explanation:
A. The answer to the first question can be simple. If she can scan 6 photographs per minute, then we would write the inequality 56-6m<20, since we are subtracting 6 from 56 every minute, we would write 6 per minute as 6m, and subtract that from 56. Lastly, since it says <u>less than</u>, we need to put the less than symbol, the mouth facing towards the 20 as the greater number.
B. If she has spent 28, that means that we put -28 on the equation as a constant. Then, we put the price times the number of batteries she bought, or 2.95b, and put a less than symbol, since we want to spend less than the 450 gift card. So the equation would be 2.95b+28<450
13. Key words to indicate inequalities can be less than, greater than, without going over, going over.
Hope this helps! :D
The answer is X = 19, hope this helps :)
Answer:
2/3
Step-by-step explanation:
5/9 + 1/9
= 6/9
= 2/3 in simplest form
Answer:
Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.
Step-by-step explanation:
We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.
<u><em>Let </em></u>
<u><em> = sample mean comprehensive strength</em></u>
The z-score probability distribution for sample mean is given by;
Z =
~ N(0,1)
where,
= population mean comprehensive strength = 5500 psi
= standard deviation = 100 psi
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(
> 4985 psi)
P(
> 4985 psi) = P(
>
) = P(Z > -15.45) = P(Z < 15.45)
= <u>0.99999</u>
<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>
(6x^3 + 4x-2) + (4x^2 + 3x^3 - 6)=
6x^3 + 4x-2 + 4x^2 + 3x^3 - 6=
9x^3+4x^2+4x-8