Answer:
Sorry Dunno
Step-by-step explanation:
Answer:
B. y = 10(2)^x
Step-by-step explanation:
y = ab^x
to find "b" divide the function at x = 3 by the function at x = 2
80 = ab^3
——————
40 = ab^2
This results in
2 = b
to find "a" plug pickany value of x
using x = 2
40 = a(2²)
40 = a(4)
a = 10
With a = 10 and b = 2 the exponential function y = ab^x is
y = 10(2)^x
Answer:
x = 12
Step-by-step explanation:
3x = 6² = 36
x = 12
Answer:
t= 0.4933
t ≥ t ( 0.025 ,8 ) = 2.306
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: ud= 0 Ha: ud≠0
The significance level is set at ∝= 0.05
The test statistic under H0 is
t= d`/ sd/√n
which has t distribution with n-1 degrees of freedom
The critical region is t ≥ t ( 0.025 ,8 ) = 2.306
Computations
Student Scores before Scores after Difference d²
reading book ( after minus before)
1 720 740 20 400
2 860 860 0 0
3 850 840 -10 100
4 880 920 40 1600
5 860 890 30 900
6 710 720 10 100
7 850 840 -10 100
8 1200 1240 40 1600
<u>9 950 970 20 40</u>
<u>∑ 6930 8020 140 4840</u>
d`= ∑d/n= 140/9= 15.566
sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775
sd= 18.2422
t= 3/ 18.2422/ √9
t= 0.4933
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
If the pond were a rectangle, then:
length=15 m
width=6 m
We would have to calculate the perimeter of this rectangle.
Perimeter of a rectangle=2(length)+2(width)
Perimeter of this rectangle=2(15 m)+2(6 m)=30 m+12 m=42 m
We need 42 m and I only have 40 m, therefore, it would not be enough for fencing the pond.
