He played video games for 25 minutes.
Answer:
Step-by-step explanation:
1%=$120
0.25%=$30
It would go up by $150 each year and at the end of the six years there would be $13000.
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!
Answer:
Step-by-step explanation:
Hello!
The variable of interest is X: number of individuals that hold multiple jobs in a sample of 225.
And you need to calculate the probability of the proportion of individuals being between 0.14 and 0.18.
Considering that the parameter of interest is the proportion and the sample is large enough you can use the standard normal approximation to calculate this interval.
Unfortunately, there is no given value for the population proportion of individuals that have multiple jobs. Let's say, for example, that his proportion is 10%.
You can symbolize the probabilities as:
P(0.14≤X≤0.18)= P(X≤0.18)-P(X≤0.14)
Using the approximation of the standard normal you can standardize these proportion values:
P(Z≤(0.18-0.1)/√[(0.1*0.9)/225])-P(Z≤(0.14-0.1)/√[(0.1*0.9)/225])
P(Z≤4)-P(Z≤2)
Now you have to look for the corresponding values in the table of the Z distribution (right table, positive numbers of Z)
P(Z≤4)-P(Z≤2)= 1 - 0.97725= 0.02275
I hope it helps!
Answer:
Length BC = 26
Step-by-step explanation:
Perimetre = 94
; Perimetre = 2(2x + 3) + 2(3x - 1)
; 94 = 4x + 6 + 6x - 2
; 94 - 4 = 10x
; 90 = 10x
;Therefore the value of x = 9....Hence the length of BC
BC = 3(9) - 1
; BC = 26