Answer:
Step-by-step explanation:
Given:
The magnitude, v=12
The angle 
it makes with the positive x-axis =
Now for a vector (x,y)
; and
Therefore:
Similarly:
Recall that:
Therefore: 
The vector in the form ai+bj is therefore:
Answer:
H0 : μ = 8.5
H1 : μ > 8.5
1 sample t test ;
Test statistic = 2.53
Pvalue = 0.994
No, we fail to reject the Null ;
There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ > 8.5
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(8.7 - 8.5) ÷ (0.5 / sqrt40)
Test statistic = 2.53
The Pvalue :
P(Z < 2.53) = 0.9943
Pvalue = 0.994
Decison region :
Reject H0 ; if Pvalue < α
0.9943 > 0.05 ; We fail to reject the Null
9y/5 +5
Im sorry dont have an expression but i hope i got it right
Make two shapes out of it.
The bottom is a rectangle 14 x 5 = 70 square cm
The top is a triangle 1/2 x 12 x 5 = 30 square cm
Total area = 70 + 30 = 100 square cm
Answer:
32 pizzas
60 pizzas
1/24
Step-by-step explanation:
Se hicieron 8 docenas de pizzas.
Una docena es 12, por lo tanto, el número de pizzas hechas fue:
8 * 12 = 96 pizzas
1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:
1/3 * 96 = 32 pizzas
5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:
5/8 * 96 = 60 pizzas
El número total de pizzas vendidas es:
32 + 60 = 92 pizzas
Esto significa que no se vendieron 4 pizzas. En forma de fracción:
4/96 = 1/24
