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marysya [2.9K]
3 years ago
13

Suppose that the correlation between midterm 1 and midterm 2 is 0.55; the mean and standard deviation of midterm 1 are 71 and 3,

while for midterm 2 the mean and standard deviation are 81 and 4. There are 21 students in the class. Test, at level 0.01, the hypothesis that the first midterm has no influence on the expected score for the second midterm.
Mathematics
1 answer:
Doss [256]3 years ago
6 0

Answer:

i dont know the answer , sorry

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If a= 5-2 root 6 then find the value of root a - 1/root a
lozanna [386]

Answer:

2\sqrt2

Step-by-step explanation:

a=5-2√6 ...(1)

\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10

(\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}

5 0
3 years ago
The height of a tree is 56 inches. After 5 years, the height is 10 feet 11 inches. How many inches did the tree grow each year?
ra1l [238]

The tree grows 15 inches each year

<h3>Calculating the rate of growth </h3>

From the question, we are to determine how many inches the tree grows each year

First, we will calculate the difference in height

Initial height = 56 inches

Final height = 10 feet 11 inches = 131 inches

Difference in height = 131 inches - 56 inches

Difference in height = 75 inches

Now, for the rate at which the tree grows each year,

The rate at which the tree grows each year = 75 inches / 5 year

The rate at which the tree grows each year = 15 inches/year

Hence, the tree grows 15 inches each year.

Learn more on Calculating rate of growth here: brainly.com/question/15214747

#SPJ1

6 0
2 years ago
Find the value of x .<br><br> 12.5,-10,-7.5,x ; The mean is 11.5
Tems11 [23]

Answer:

51

Step-by-step explanation:

The mean is obtained by adding up the values in the data set and then divide by the number of values that you added:

\bar X=\sum{X_i}\\

Given our mean as 11.5 and n=4:

\bar X=\frac{1}{n}\sum{X_i}\\\\\\\\\therefore\sum{X_i}\\=11.5\times 4=46

#Knowing our sum as 65, we can obtain x by subtracting sum of known values from 65:

x=46-(12.5+-10+-7.5)\\=51

Hence, the value of x is 51

8 0
4 years ago
4−32⋅(−0.25)−12÷13, what's the answer?
vampirchik [111]
The answer is 144 over 13
8 0
3 years ago
Read 2 more answers
I NEEDDDD HELPPPP ITS URGENTTTT!!
babymother [125]

Answer:

(x-9)²+(y-5)²=64

Step-by-step explanation:

Centre is (9,5) and radius is 16*pi/2*pi=8. Plug it in the equation of circles

3 0
3 years ago
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