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likoan [24]
3 years ago
10

A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi

s confidence interval is:_______
a. 25
b. 12.5
c. 197.5
d. 1.645
Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer:

B. 12.5

Step-by-step explanation:

We have the lowe confidence interval = 185

The upper confidence interval = 210

Mean of X = (lower confidence + upper confidence interval)/2

Mean of X = 185 + 210/2

= 197.5

The margin of error = the upper confidence interval - mean of X

= 210-197.5

= 12.5

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Y varies directly with x. If x = 16 and y = 2 find y when x = 96
ArbitrLikvidat [17]

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

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How do I write 974 in expanded form
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carey is trying to decide between two guitars. the first had an original price of $160, but is on sale for $100. the second had
MrMuchimi
To determine the percent change in price, solve for the differences between the original prices and the sale prices. Then, divide the difference by the original price and multiply by 100%.

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Let (3,-2) be a point on the terminal side of theta in standard position. Find exact values of the six trigonometric functions o
frez [133]

Answer:

  • sin(θ) = (-2√13)/13
  • cos(θ) = (3√13)/13
  • tan(θ) = -2/3
  • sec(θ) = (√13)/3
  • csc(θ) = (-√13)/2
  • cot(θ) = -3/2

Step-by-step explanation:

The distance of the point from the origin is ...

  r = √(3² +(-2)²) = √13

We know that ...

  x = r·cos(θ)   ⇒   cos(θ) = x/r = 3/√13 = (3√13)/13

  y = r·sin(θ)   ⇒   sin(θ) = y/r = -2/√13 = (-2√13)/13

  tan(θ) = sin(θ)/cos(θ) = -2/3

  sec(θ) = 1/cos(θ) = (√13)/3

  csc(θ) = 1/sin(θ) = (-√13)/2

  cot(θ) = 1/tan(θ) = -3/2

8 0
3 years ago
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