The answer would be
p≥1
hope this helps :3
The answer is 1 , because x-2 becomes 2x and you subtract 5x from 2x and and get 3x and 3/3 is 1
Answer:
![t \leq 63](https://tex.z-dn.net/?f=t%20%5Cleq%2063)
Step-by-step explanation:
Quotient of two numbers also means the result of the two numbers after division.
If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;
<em>(note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)</em>
<em></em>
On solving the inequality for the variable t
![\dfrac{t}{4.2}\leq 15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq 15 * 4.2\\\\t \leq 63](https://tex.z-dn.net/?f=%5Cdfrac%7Bt%7D%7B4.2%7D%5Cleq%20%2015%5C%5C%5C%5Cmultiply%20%5C%20both%20%5C%20sides%20%5C%20by%20%5C%204.2%5C%5C%5C%5C%5Cdfrac%7Bt%7D%7B4.2%7D%2A%204.2%5Cleq%20%2015%20%2A%204.2%5C%5C%5C%5Ct%20%5Cleq%2063)
<em>Hence t is at most 63</em>
Answer:
1 and 3
Step-by-step explanation:
Part a: 1 and 3
part b: x = −22
<u><em>Please mark as brainliest </em></u>
Have a great day, be safe and healthy
Thank u
XD
Answer:
x = 63.6
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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 and also the area to its left. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to its right.
In this problem, we have that:
![\mu = 38, \sigma = 11](https://tex.z-dn.net/?f=%5Cmu%20%3D%2038%2C%20%5Csigma%20%3D%2011)
Find a value of x that has area 0.01 to its right
This is x when Z has a pvalue of 1-0.01 = 0.99. So it is X when Z = 2.3267.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![2.3267 = \frac{X - 38}{11}](https://tex.z-dn.net/?f=2.3267%20%3D%20%5Cfrac%7BX%20-%2038%7D%7B11%7D)
![X - 38 = 11*2.3267](https://tex.z-dn.net/?f=X%20-%2038%20%3D%2011%2A2.3267)
![X = 63.6](https://tex.z-dn.net/?f=X%20%3D%2063.6)
So x = 63.6