Answer:
a reflection across a horizonal line following by a 180 clockwise
Step-by-step explanation:
The plant's height after 34 months will be 89cm if the plant is already 55 centimeters tall.
<h3>What is meant by height?</h3>
Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.
Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.
Given, the relation between the height and the months is:
H(m)=55+m
Now, we have to find the height of the plant after 34 months.
So, we substitute m=34 in the expression to obtain height,
H(m)=55+m
H(34)=55+34
H(34)=89cm
Hence the height will be 89cm
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Answer:
The lower limit of the 90% confidence interval for the population mean life of the new model is 72.53 months.
Step-by-step explanation:
Our sample size is 13.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

Then, we need to subtract one by the confidence level
and divide by 2. So:

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 12 and 0.05 in the t-distribution table, we have
.
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

Now, we multiply T and s

The lower end of the interval is the mean subtracted by M. So it is 75 - 2.47 = 72.53
The lower limit of the 90% confidence interval for the population mean life of the new model is 72.53 months.
X³ - 1 = x³ - 1³ = (x-1)(x²+x+1)
Answer:
5+2=7 8-7+1
Step-by-step explanation:
so there is 1 white marble