A number split evenly into 6 groups. in expression symbol.

Mathematics

1 answer:

deff fn [24]3 years ago

7 0

Answered already okay. GFY.

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In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product,

Vadim26 [7]

Answer: 0.2872

Step-by-step explanation:

Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.

i.e. n= 1000 and x= 260

⇒ Sample proportion : $\hat{p}=\dfrac{260}{1000}=0.26$

z-value for 95% confidence interval : $z_c=1.960$

Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-

$\hat{p}+ z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.26+ (1.96)\sqrt{\dfrac{0.26(1-0.26)}{1000}}$

$=0.26+ (1.96)(0.01387)=0.26+0.0271852=0.2871852\approx0.2872$

∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872

7 0

3 years ago

What is the focus of the parabola? <img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E%7B2%7D%20-x%2B3" id="Te

OlgaM077 [116]

We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)

3 0

2 years ago

Read 2 more answers

Transversals Find the value of x.

Eduardwww [97]

Answer:

look at the picture I sent