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Shalnov [3]
3 years ago
6

James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough becaus

e he should specify that
a circle includes its diameter
the set of points is in a plane
a circle includes its radius
the set of points are collinear
Mathematics
2 answers:
vlabodo [156]3 years ago
6 0
The sped of points is in a plane
postnew [5]3 years ago
5 0

Answer:

The Set Of Points is In a Plane

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Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh
kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon  residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = \sqrt{n*p_1*q_1}  = \sqrt{n*p_1*(1-p_1)} = \sqrt{11545*0.08*(1-0.08)} = 29.15

σ₂ = \sqrt{n*p_2*q_2}  = \sqrt{n*p_2*(1-p_2)}= \sqrt{4691*0.088*(1-0.088)} = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have  

z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }

The test statistics can be computed by

     

t₀ = \sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} } =      1104.83

c from tables is   P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0
2 years ago
A new machine makes three times as many toys in one hour as the old machine did it both machines make a total of 248 toys in one
ioda

Answer:

I am assuming you meant that the old machine made 248 toys in one hour instead of both if that is the case then the answer would be 744.

Steph-by-step explanation:

The new machine makes three times as many as the old machine so 248 times 3 = 744 toys in one hour

3 0
3 years ago
Notebooks cost a $1.20 each this week and they will be on sale for $0.80 what percentage is the sale
ozzi

We can use algebra.

So, what rate time 1.20 = .80


Let x = the rate (in a decimal form)

1.20x = .80

x = .6666666666

Now, we need to multiply by 100 to get a percentage.

66.66 The price is 66% of the regular price.


They marked it off

33.33%

6 0
3 years ago
Read 2 more answers
You earned $62,715 this year and your Income tax calculator says you owe $8,818 in taxes. But you neglected to deduct $1,000 for
zepelin [54]

Answer: 2,749.50

Step-by-step explanation:

56,715*10.70% = 6068.505

8818 - 6068.505 = 2,749.50

6 0
3 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
iren [92.7K]
Y=-7/2x+1/2
1. find slope
2. plug in slope to y=mx+b
3. take point and plug it in (find a b)
4. plug in slope and b to get equation
8 0
3 years ago
Read 2 more answers
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