Answer:
13.57 < µ < 15.43
Step-by-step explanation:
Assume: We have to assume the sample comes from a normally distributed population because we do not know the population standard deviation.
We assume that it was a random sample.
Do not assume: The sample size is at least 30 because we are that it's 10. Don't assume the variance is less than the mean because we can calculate it and will know for sure.
To find a 90% confidence interval we need to find the sample mean and sample standard deviation. See attached photo 1 for the calculations
See attached photo 2 for the construction of the confidence interval
<em>Hello there! And thank you for asking your question here on brainly . com! The number one asking and answering site.</em>
Answer: C. 34
Explanation: The series shown is reducing by 5 digits. 54 - 5 = 49, 49 - 5 = 44, and so on. When we're at 39, just subtract by 5. 39 - 5 = 34. 34 is the answer.
Hope this helped you, and have an awesome day! ☺♥
<h3>
Answer: 10</h3>
====================================================
Explanation:
The two smaller triangles are proportional, which lets us set up this equation
5/n = n/15
Cross multiplying leads to
5*15 = n*n
n^2 = 75
----------
Apply the pythagorean theorem on the smaller triangle on top, or on the right.
a^2+b^2 = c^2
5^2+n^2 = m^2
25+75 = m^2
100 = m^2
m^2 = 100
m = sqrt(100)
m = 10
Natural numbers: Counting things! You look around your room and see an electronic device, then another, then another! You just counted to 3 using the natural numbers.
Whole numbers! You try to look for electronic devices and realise that they’re all gone. You have zero electronic devices, and you just used whole numbers.
You go online to find where your electronic devices went, and realise they were taken because you’re in debt to the bank so they took some of your stuff. You’re in negative numbers, and now you’ve used integers.
Scale factor is given by:
(length of larger figure)/(length of smaller figure)=(width of larger figure)/(width of the smaller figure)=3.4
The length of the larger figure will be given by:
length=(scale factor)*(length of smaller figure)
=3.4*6=20.4 cm
width of the larger figure will be given by:
width=(scale factor)*(width of smaller figure)
=3.4*4.5
=15.3 cm
Therefore the dimension of the new parallelogram will be 20.4 cm by 15.3 cm
