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Katena32 [7]
3 years ago
12

Please do both please answer properly and show how u got ur answer

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

a) No.

b) Yes.

Step-by-step explanation:

a) It's not proportional. Although the graph represents a straight line, it does not pass through the origin (0,0).

b) It is proportional. It is a straight line that passes through the origin.

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In a sample of 679 new websites registered on the Internet, 42 were anonymous (i.e., they shielded their name and contact inform
Semmy [17]

Answer:

95% Confidence interval:  (0.0429,0.0791)      

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 679

Number of anonymous websites, x = 42

\hat{p} = \dfrac{x}{n} = \dfrac{42}{679} = 0.0618

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

Putting the values, we get:

0.0618\pm 1.96(\sqrt{\dfrac{0.0618(1-0.0618)}{679}}) = 0.0618\pm 0.0181\\\\=(0.0429,0.0791)

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8 0
3 years ago
The hour hand of a clock is 6 inches long and the minute hand is 8 inches long. What is the ratio of the distance in inches trav
kirill115 [55]

Answer:

the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.

Step-by-step explanation:

The given information is:

  • length of the hour hand, l = 6 inches
  • length of the minute hand, b = 8 inches

Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:

s₁ = r θ

s₁ = (8)(π/2)

s₁ = 4π inches                                                                      

The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.

Therefore, in 30 minutes the hour hand moves a distance of:

s₂ = r θ

s₂ = 6(30×1/2×π/180)

s₂ = π/2 inches                                                                              

Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:

s₂ / s₁ = (π/2) / 4π

<em>s₂ / s₁ = 0.125</em>

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4 years ago
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3x^2-15y-10x

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