Answer:
This is a Exponential functions
Step-by-step explanation:
The number of bacterias increases each time so you are getting more bacteria each day .
Answer:
x = 60°, y = 78°, z = 29°.
Step-by-step explanation:
(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.
(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.
- Since ∠y ≅∠JPH, both angles measure 78°.
- (This can also be found by knowing 102 + y = 180 degrees, which simplifies to y = 78° since they are supplementary angles).
(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.
The original amount borrowed was $517.
Simple Interest is the method to calculate the interest charged for a given number of years and given rate , in simple interest the principle remains same for each year.
Simple interest =![\frac{P*R*T}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BP%2AR%2AT%7D%7B100%7D)
where P= principle, R=rate in % , T= time
We know that Amount= Principle+ Simple Interest........(1)
According to the question
Amount=$610.06
Rate=18%
time = 1yr
Substituting the value in equation (1) we get
![610.06=P+\frac{P*18*1}{100}](https://tex.z-dn.net/?f=610.06%3DP%2B%5Cfrac%7BP%2A18%2A1%7D%7B100%7D)
![610.06=\frac{100P+18P}{100}](https://tex.z-dn.net/?f=610.06%3D%5Cfrac%7B100P%2B18P%7D%7B100%7D)
![610.06=\frac{118P}{100}](https://tex.z-dn.net/?f=610.06%3D%5Cfrac%7B118P%7D%7B100%7D)
![61006=118P](https://tex.z-dn.net/?f=61006%3D118P)
![P=\frac{61006}{118}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B61006%7D%7B118%7D)
![P=517](https://tex.z-dn.net/?f=P%3D517)
Therefore , The original amount borrowed was $517.
Learn more about Simple Interest here brainly.com/question/26400531
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There is sufficient evidence to conclude that the population standard deviation is different from 0.1.
What is test statistic?
A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.
Given,
![H_0:\sigma =0.1\\H_a:\sigma \neq 0.1](https://tex.z-dn.net/?f=H_0%3A%5Csigma%20%3D0.1%5C%5CH_a%3A%5Csigma%20%5Cneq%200.1)
Test statistic:
Chi square=(20-1)*0.25^2/0.1^2=118.75
df=20-1=19
p-value=CHIDIST(118.75,19)=0.0000
Reject the null hypothesis.
Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.
To learn more about test statistics
brainly.com/question/15980493
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Answer:
I attached the answers to number one and three.
Step-by-step explanation:
I totally forgot how to do this (I learned this two years ago), so I used the graphing calculator on "Desmos". It's very helpful :)
I will get to work on the second one, but it might take me a minute :)