Let,
Harry's age - x then Nick is 7x.
After 6 years, Harry is x+6 and Nick is 7x+6
So, 7x+6= 5(x+6)=> 2x = 30-6X = 12
In 6 years, Harry will be 12+6 = 18 years (Ans)
For the answer to the question above, I'll explain my answer through an equation below.
<span>5+10>x,x<15
5+x>10
x>10-5
or x>5
</span>So the answer is either multiple choice letter C. 6 or multiple choice letter D. 11
I hope my answer helped you. Have a nice day!
Answer:
For this case the parameter of interest is given by:
who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact
For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:
This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:
Step-by-step explanation:
For this case the parameter of interest is given by:
who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact
For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:
This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:
For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion 
is significantly different from a hypothesized value 
.
Answer:
Sin, Cos, Tan and others are used to calculate the ratios of the sides of a right angled triangle by taking a certain angle as the angle of reference.
On the other hand, Sin‐¹, Cos‐¹ and Tan-¹ are used to find the reference angle used to calculate the ratio of sides.
For this question,
we need to find which option should used to calculate the angle the slide makes with the vertical support.
So the option will have to be either A, C or E.
here, the base is 2.81m and hypotenuse is 3.64m.
we know, Cos = base / hypotenuse
So the angle is given by Cos-¹(2.81/3.64)
Option C
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m
