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vlada-n [284]
3 years ago
14

When I run up a staircase, my stride can carry me up 1, 2, or 3 steps at a time. In how many ways can I run up a 9-step staircas

e (given that my last stride lands me on the 9th step)?
Mathematics
1 answer:
Romashka [77]3 years ago
6 0
1+1+1+1+1+1+1+1+1
3+3+3
2+1+2+1+2+1
2+1+3+1+2
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12. (07.06 LC) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x −
Goshia [24]

ANSWER

15 {x}^{2} + 22x - 5

EXPLANATION

It was given that, the length of the rectangular building is

(3x + 5) \: meters

and the width of the is

(5x - 1) \: meters

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

A = l \times w

Since the dimensions are given in terms of x, the area is also a function of x,

A(x) = (3x +5 )(5x - 1)

We expand to get,

A(x) = 3x(5x - 1) + 5(5x - 1)

A(x) = 15 {x}^{2}  - 3x + 25x - 5

A(x) = 15 {x}^{2} + 22x - 5

meters square

8 0
4 years ago
What is the interquartile range (IQR) for the data set 14,15,17,19,20,23,26,30,32
natka813 [3]

Answer:

12 ??

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the domain of y = cos ^-1x?
Bas_tet [7]

Answer:

Step-by-step explanation:

Correct option is

D

[1,(1+π)  

2

]

f(x)=(1+sec  

−1

(x))(1+cos  

−1

(x))

Here the limiting component is cos  

−1

(x), since the domain of cos  

−1

(x) is [−1,1].

Therefore,

f(1)=(1+0)(1+0)

=1

f(−1)=(1+π)(1+π)

=(1+π)  

2

 

Hence range of f(x)=[1,(1+π)  

2

]

8 0
2 years ago
In hypothesis testing, if the null hypothesis has been rejected when the alternative hypothesis has been true, _____. a. a Type
lara31 [8.8K]

Answer:(c)

Step-by-step explanation:

Given : In a hypothesis testing the null hypothesis has been rejected when the alternative hypothesis has been true.

Find : to find that the given decision is create type I error , type II error or right decision has been taken

Step by step :

In hypothesis testing there are 2 types of error.

(1)Type I error :- if the null hypothesis is rejected when it is true, is known has Type I error .

(2)Type II error:- if the null hypothesis is accepted when alternative hypothesis is true, is known as type II error.

Since here null hypothesis has been rejected when alternative hypothesis has been true,i.e., the correct decision has been made

Hence option (c) is correct.

4 0
3 years ago
the ratio of peanut butter to cookie dough in a mixture is 1:5. Which of the following best describes the amount of peanut butte
arsen [322]
There is 5 times the amount of cookie dough to peanut butter
x:5x
6 0
3 years ago
Read 2 more answers
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