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Nitella [24]
3 years ago
7

Qual é o coeficiente linear da funçao f(x) =2x - 1?

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Resposta: f ^ (- 1) (x) = (1/2) x-1/2

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A publisher reports that 42%42% of their readers own a particular make of car. A marketing executive wants to test the claim tha
shepuryov [24]

Answer:

z=\frac{0.35 -0.42}{\sqrt{\frac{0.42(1-0.42)}{250}}}=-2.24  

Step-by-step explanation:

Data given and notation  

n=250 represent the random sample taken

\hat p=0.35 estimated proportion of readers owned a particular make of car

p_o=0.42 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that that the percentage is actually different from the reported percentage.:  

Null hypothesis:p=0.42  

Alternative hypothesis:p \neq 0.42  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.35 -0.42}{\sqrt{\frac{0.42(1-0.42)}{250}}}=-2.24  

6 0
3 years ago
How can you use factors to write a number as a product?
vekshin1
You would have to multiple the two factors to get the number as a product.
8 0
3 years ago
the train traveled at an average speed of 48 miles per hour for the first 2 hours and at 60 miles an hour for the next hours. Wh
Aleksandr [31]

Answer:  56 mph

Step-by-step explanation:

48 miles x 2 hours = 96 miles

60 miles x 4 hours =  240 miles

240 + 96 = 360 total miles

360 / 6 (hours) = 56 mph

6 0
3 years ago
Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit
Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is y=2x^{2}-4x+10

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

7 0
3 years ago
There are 12 people in cafe. half of them are drinking coffee. How many people are drinking coffee?​
enot [183]
The answer is 6 people.

Half of the 12 people in the cafe would be 6 people. You can find half of a number by dividing it by two, or multiplying it by .5
4 0
3 years ago
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