Answer:
B: a number line from 1 to 5
Step-by-step explanation:
The answer is
sin 35 =5/x
0.57=5/x
X= 8.77
Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:

Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the
value:

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

Now we can replace in the formula with the obtained values to compute the confidence interval:

Answer:
f(x)=x3
Step-by-step explanation:
If you meant f(x)=x3 by f(x)=x^3 then that would be a cubic equation and not linear?
Answer:
a)The component form is

b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:

We substitute the position vectors to get:

We subtract the corresponding components to obtain:

This gives:

This simplifies to:

The magnitude of a vector in the component form:

is

This means:

This simplifies to:


c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>