Answer:
(15,595, 16,805)
Step-by-step explanation:
We have to:
m = 16.2, sd = 3.75, n = 150
m is the mean, sd is the standard deviation and n is the sample size.
the degree of freedom would be:
n - 1 = 150 - 1 = 149
df = 149
at 95% confidence level the t is:
alpha = 1 - 95% = 1 - 0.95 = 0.05
alpha / 2 = 0.05 / 2 = 0.025
now well for t alpha / 2 (0.025) and df (149) = t = 1,976
the margin of error = E = t * sd / (n ^ (1/2))
replacing:
E = 1,976 * 3.75 / (150 ^ (1/2))
E = 0.605
The 95% confidence interval estimate of the popilation mean is:
m - E <u <m + E
16.2 - 0.605 <u <16.2 + 0.605
15,595 <u <16,805
(15,595, 16,805)
Answer:
y=x+2
Step-by-step explanation:
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
Answer:
3:45 PM.
Step-by-step explanation:
We have been given that on Thursday afternoon at camp Alice played basketball and went swimming before dinner she spent 45 minutes playing basketball and one hour swimming dinner lasted for an hour. The dinner ended at 5:30 PM.
Since she spent 1 hour for swimming, so 1 hour before 5:30 PM would be 4:30 PM.
To find the time, when Alice started playing basketball, we need to find 45 minutes before 4:30 PM.
30 minutes before 4:30 PM would be 4:00 PM and 15 minutes before 4:00 PM would be 3:45 PM.
Therefore, Alice started playing basket ball at 3:45 PM.
Answer:
(1)The value of x is -9 .
Option (B) is correct .
(2)The value of x is 13 .
Option (A) is correct .
(3)The value of the x is 11 .
Option (D) is correct .
(4) The value of the x is -15 .
Option (A) is correct .
(5)The value of the x is -11 .
Option (C) is correct .
Step-by-step explanation:
First Part
As given
4x = -36

x = -9
Therefore the value of x is -9 .
Option (B) is correct .
Second Part
As given
5x - 15 = 50
5x = 50 + 15gg
5x = 65

x = 13
Therefore the value of x is 13 .
Option (A) is correct .
As given
4(x+2)-17=35
4x + 8 - 17 = 35
4x = 35 + 17 - 8
4x = 44

x = 11
Therefore the value of the x is 11 .
Option (D) is correct .
Fourth Part
As given
6x+12=4x-18
6x-4x = -12-18
2x = -30

x = -15
Therefore the value of the x is -15 .
Option (A) is correct .
Fifth Part
As given

Simplify the above
4x-10+5×2 = 2x-22
4x-10+10= 2x-22
4x-2x = -22
2x=-22

x = -11
Therefore the value of the x is -11 .
Option (C) is correct .
Two hundred and ninety subtract three X equals 75