Answer:
0.3902
Step-by-step explanation:
The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;
Sample size, n = 27
Number of students with faster reaction time = 14
Phat = x / n = 14 / 27 = 0.6296
The confidence interval is calculated thus :
C. I = Phat ± Zcritical * √[p(1 - p)/n]
Zcritical at 99% = 2.576
C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]
C.I = 0.6296 ± 0.2394042
The lower boundary of C.I = 0.6296 - 0.2394042
Lower boundary = 0.3902
Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is

The value of a is 1 and the value of b is 1.
According to the logarithm property,

Using this property, we get

The required expression is
.

![[\because log_aa=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_aa%3D1%5D)
Left hand side is equal to the right hand sides, therefore option 1 is correct.
First of all, your sample equation is wrong, it is y=mx+b, not y=mx+c, but anyway, the finished equation is going to be y=3, hope this helps
Answer:
The length of the rectangle is 15 cm.
Step-by-step explanation:
breadth(b)=?
length(l)= 3+2b
perimeter(P)= 42 cm
Now,
P = 2 ( l+b )
or, 42= 2 ( 3+2b+b)
or, 42 = 2 ( 3+3b)
or,
= 3+3b
or, 21 = 3+3b
or, 21-3 =3b
or, 18 = 3b
or,
= b
or, 6 = b
Here, Breadth(b)= 6 cm
Length (l) = 3 + 2*6
= 3 + 12
=15 cm
Answer: 0.6 so c
Step-by-step explanation: