Answer: x=5 or x=−13
Step-by-step explanation:
8x−65=−x2
8x−65−(−x2)=−x2−(−x2)
x2+8x−65=0
(x−5)(x+13)=0
x−5=0 or x+13=0
x=5 or x=−13
Answer:
scale factor = 1.2
Step-by-step explanation:
To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.
scale factor = 
= 
= 1.2
The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Learn more about z test at brainly.com/question/14453510
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$1+x10 i think should be the answer
Step-by-step explanation:
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
