Using the z-distribution, a sample size of 180 is needed for the estimate.
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
The margin of error is given by:
In which:
is the sample mean.
is the standard deviation for the population.
In this problem, we have a 98% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 2.327.
The population standard deviation is of 
, and to find the sample size, we have to solve for n when M = 4.
Hence:
n = 179.03.
Rounding up, as a sample size of 179 would result in an error slightly above 4, a sample of 180 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
Multiply. Distribute 3x to all terms in the parenthesis: x and -8
3x(x) = 3x²
3x(-8) = -24x
3x² - 24x is your answer
hope this helps
Answer:
- 5 times
- $22.75
Step-by-step explanation:
1. Let n represent the number of times you can ride. To keep the cost within your budget, you must have ...
2.75n ≤ 15.00
n ≤ 5.45
You can ride 5 times. You don't have enough money to ride 6 times.
__
2. You can choose the correct answer using estimation of the costs. (You only need to work out the numbers in detail if an estimate doesn't get you close enough.)
3 all-day passes are a little more than $20 each, so cost a little more than $60.
2 rides on the Mountain Coaster are another $9, so your total cost will exceed $69. That means you will get less than $31 in change from $100. The only answer choice in that range is $22.75.
If you add up the costs of the passes and rides, you find they come to $77.25, so your change from $100 will be $22.75.
Answer:
H=9;8)
B=(5;4) (ball)
R=(7;0) (hit point)
B'=symetric of B axis perpendicular of x in R
B'=(7+(7-5);4)=(9;4)
Equation BR: y-4=(0-4)/(7-5)(x-5)==>y=-2x+14
Equation RB': y-4=(4-0)/(9-7)(x-9)==>y=2x-14
Is H a point of RB'? y=2x-14 : 8=? 2*9-14==>8=?4 No!
you will not make your putt
Step-by-step explanation:
Connor
Initial Value=200ft
Rate of Change=10ft/min
Pilar
Initial Value=242ft
Rate of Change=8ft/min
