Answer: 259/260 or 0.99615 (depending on which answer format your teacher wants)
There are 10 numbers in the set {0, 1, 2, ..., 9}. There are 26 letters in the set {A, B, C, ..., Z}. Multiply those values: 10*26 = 260. So there are 260 ways to pick a number followed by a letter. One example is 7P.
There is only one way Matthew can get the correct answer, and there are 260 - 1 = 259 ways to get the wrong answer. We divide 259 over 260 to get the probability of getting the incorrect answer, which is 259/260.
If you need this fraction in decimal form, then use a calculator to find that 259/260 = 0.99615 approximately
Answer: (0.076, 0.140)
Step-by-step explanation:
Confidence interval for population proportion (p) is given by :-
, where 
= sample proportion.
n= sample size.
= significance level .
= critical z-value (Two tailed)
As per given , we have
sample size : n= 500
The number of Independents.: x= 54
Sample proportion of Independents
Significance level 98% confidence level : 
By using z-table , Critical value : 
The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-
Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)
Answer: the rate at which its altitude is changing is -47 ft/s
Step-by-step explanation:
Given that;
ds/dt = 45 mph = 45 × 5280/3600 = 66 ft/sec
no we have to determine dx/dt
so
cos∅ = dx/dt / ds/dt
cos45° = dx/dt / 66
dx/dt = 0.7071 × 66
dx/dt = 46.6686 ≈ 47 ft/s ( as altitude is decreasing, its negative - )
so the rate at which its altitude is changing is -47 ft/s
Answer:
3.1 inches
Step-by-step explanation:
Area of the cookie =Pi r^2
Pi = 3.14
Diameter = 2inches
Radius r = diameter/2 = 2/2
= 1
Therefore
Area = 3.14 x 1^2
= 3.14 x 1 x 1
= 3.1 inches
Distance from a point to a line (Coordinate Geometry)
Method 1: When the line is vertical or horizontal
, the distance from a point to a vertical or horizontal line can be found by the simple difference of coordinates
. Finding the distance from a point to a line is easy if the line is vertical or horizontal. We simply find the difference between the appropriate coordinates of the point and the line. In fact, for vertical lines, this is the only way to do it, since the other methods require the slope of the line, which is undefined for evrtical lines.
Method 2: (If you're looking for an equation) Distance = | Px - Lx |
Hope this helps!
