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suter [353]
4 years ago
11

A national interest rate on houses for 25 years is 4.3%. A banker in a large northwestern city believes that the local interest

rates are lower than the national rate. What is the null hypothesis that this banker wishes to test?
Mathematics
1 answer:
stepladder [879]4 years ago
7 0
The national interest rate on houses for 25 years is 4.3%. The banker wishes to test that the local interest rates are lower than the national rate. So he should use the initial data of 4.3% interest as his base data. Then he should investigate the rates of houses in the local vicinities and compare it to his base data. 
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In the equation (x^2+y)^5, what is the coefficient of the term x^4y^3? what is the coefficient of the same term in the expansion
lys-0071 [83]

\displaystyle
(x+y)^n=\sum_{k=0}^n\binom{n}{k}x^{n-k}y^k

<em>-------------------------------------------------------------</em>


\displaystyle&#10;(x^2+y)^n=\sum_{k=0}^n\binom{n}{k}x^{2n-2k}y^k\\&#10;n=5\\&#10;k=3\\\\\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdor5}{2}=10

<u>It's 10.</u>

----------------------------------------------------

\displaystyle&#10;(3x^2+y)^n=\sum_{k=0}^n\binom{n}{k}(3x)^{2n-2k}y^k=\sum_{k=0}^n\binom{n}{k}\cdot 3^{2n-2k}\cdot x^{2n-2k}y^k\\\\&#10;n=5\\&#10;k=4\\\\&#10;\binom{5}{3}\cdot3^{2\cdot5-2\cdot4}=10\cdot3^{2}=10\cdot9=90

<u>It's 90</u>

6 0
3 years ago
Please help me with this problem, thanks
Slav-nsk [51]
A is the answer I believe , the L and M means they are parallel they don’t intersect with each other
7 0
3 years ago
Evaluate -15a (-3) for a= 2 and b=-3<br> A.) 5/24 B.) -5/24 C.) -1080 D.) -40/3
zloy xaker [14]
Hhjhhhu did I need ooo 40
4 0
3 years ago
Two numbers that differ by 46
Reil [10]

the complete question is

Find two numbers whose difference is 46 and whose product is a minimum


Let

x------->larger number

y-------> smaller number

P-------> product of the two numbers


we know that

x-y=46\\ y=x-46-----> equation 1

P=x*y-----> equation 2


substitute equation 1 in equation 2

P=x*[x-46]\\ P=x^{2} -46x


using a graph tool

see the attached figure


Find the value of x for that the product P is a minimum

the vertex is the point (23,-529)

that means, for x=23

the product is a minimum P=-529


find the value of y

y=x-46\\ y=23-46\\ y=-23


therefore


the answer is

the numbers are 23 and -23

7 0
3 years ago
Read 2 more answers
If a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of nickles to all coins?
zepelin [54]

Answer:

18/36 or 1/2

Step-by-step explanation:

There are 18 nickels, which is the numerator.

You add all the numbers together to get the denominator, which is 12+6+18=36.

Then, you put the two values in a fraction - 18/36

and simplify, to get you 1/2.

3 0
3 years ago
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