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Anastasy [175]
3 years ago
7

Suppose you are using α = 0.05 to test the claim that μ > 23 using a p-value. you are given the sample statistics , and find

the p-value.
Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0
Since there are no given sample statistics, Let us use the following: n=35, x=24.1, and o=2.7 
2-tail test
Using a T-test:
t(24.1) = (24.1-23/[2.7/sqrt(35)] = -2.4103
P - value = 2*P(-100< t < -1.9720, when df = 34) 
= tcdf (-100,-2.4103,34) -> using excel
= 0.0107
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Consider the sequence: 8, 11, 14, 17, 20, 23, 26, ... Write a recursive definition.
Amiraneli [1.4K]

The first term is 8, so a_{1} = 8

Each time we want a new term, we add on 3

8+3 = 11

11+3 = 14

14+3 = 17

17+3 = 20

23+3 = 26

and so on

This recursive step of adding on 3 to the prior term is written as this: a_{n} = 3 + a_{n-1} which says "to get the nth term, add 3 to the term just before the nth term"

Based on what you posted for your answer choices, the final answer is likely choice C. However it seems some weird typo happened.

8 0
3 years ago
Find the constant proportionality for y = 2/3x
Svet_ta [14]
Hi Jessicaprado539!

The constant proportionality of this equation would be the value that relates the two amounts. In this case, that would be 2/3
5 0
3 years ago
Consider the points A(5, 3t+2, 2), B(1, 3t, 2), and C(1, 4t, 3). Find the angle ∠ABC given that the dot product of the vectors B
Vilka [71]

Answer:

66.42°

Step-by-step explanation:

<u>Given:</u>

A(5, 3t+2, 2)

B(1, 3t, 2)

C(1, 4t, 3)

BA • BC = 4

Step 1: Find t.

First we have to find vectors BA and BC. We do that by subtracting the coordinates of the initial point from the coordinates of the terminal point.

In vector BA B is the initial point and A is the terminal point.

BA = OA - OB = (5-1, 3t+2-3t, 2-2) = (4, 2, 0)

BC = OC - OB = (1-1, 4t-3t, 3-2) = (0, t, 1)

Now we can find t because we know that BA • BC = 4

BA • BC = 4

To find dot product we calculate the sum of the produts of the corresponding components.

BA • BC = (4)(0) + (2)(t) + (0)(1)

4 = (4)(0) + (2)(t) + (0)(1)

4 = 0 + 2t + 0

4 = 2t

2 = t

t = 2

Now we know that:

BA = (4, 2, 0)

BC = (0, 2, 1)

Step 2: Find the angle ∠ABC.

Dot product: a • b = |a| |b| cos(angle)

BA • BC = 4

|BA| |BC| cos(angle) = 4

To get magnitudes we square each compoment of the vector and sum them together. Then square root.

|BA| = \sqrt{4^2 + 2^2 + 0^2} = \sqrt{20} = 2\sqrt{5}

|BC| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}

2\sqrt{5}\sqrt{5}\cos{(m\angle{ABC})} = 4

10\cos{(m\angle{ABC})} = 4

\cos(m\angle{ABC}) = \frac{4}{10}=\frac{2}{5}

m\angle{ABC} = cos^{-1}{(\frac{2}{5})}

m\angle{ABC} = 66.4218^{\circ}

Rounded to two decimal places:

m\angle{ABC} = 66.42^\circ

3 0
2 years ago
Student scientific calculator 3×10^5 is displayed as 3 EE 5 in that case how was the panic of 80,000 and 5000 be displayed on Th
faltersainse [42]
Hello,
We know that
3×10^5= 3 EE 5
Change 80,000 to the scientific notation
8×10^4
Doing the same like 3×10^5, I can get 8 EE 4
Change 5000 to the scientific notation
5×10^3
Then it will appeared as 5 EE 3. Hope it help!
4 0
3 years ago
I need help with elimnation​
Ivahew [28]

Answer:

what do u mean by that? like what do you want to delete?

3 0
3 years ago
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