Step-by-step explanation:
The plumber's daily earnings have a mean of $145 per day with a standard deviation of
$16.50.
We want to find the probability that the plumber earns between $135 and
$175 on a given day, if the daily earnings follow a normal distribution.
That is we want to find P(135 <X<175).
Let us convert to z-scores using
This means that:
We simplify to get:
From the standard n normal distribution table,
P(z<1.82)=0.9656
P(z<-0.61)=0.2709
To find the area between the two z-scores, we subtract to obtain:
P(-0.61<z<1.82)=0.9656-0.2709=0.6947
This means that:
The correct choice is C.
Answer:
3) 
, 
Step-by-step explanation:
Given that the explicit rule for a sequence is 
.
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1) 
,
2) 
, 
3) ,
4) 
,
Plug n=1 into given formula to get first term
base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3) ,
Answer:
x = -25
Step-by-step explanation:
25 = -7(x + 5) + 5x
25 = -7x - 25 + 5x
5x - 7x - 25 = 25
5x - 7x - 25 + 25 = 25 + 25
5x - 7x = 50
-2x = 50
-2x/-2 = 50/-2
x = -25
The playground is a square, so there will be a right triangle formed by diagonal and two sides. So sides length²*2=diagonal length². So the side length is 38.9 meter.
Answer:
Step-by-step explanation:
11=4(8)+b
11=32+b
-21=b
y=4x-21
i think
