Answer:
-185.75297
Step-by-step explanation:
Solution:-
- We are testing whether the population mean u is equal to 100 as per claim.
Null hypothesis: u = 100
- Where a alternate hypothesis suggest that the population mean ( u ) may be lower:
Alternate hypothesis: u < 100
- We are given sample data parameters which are assumed to be normally distributed:
sample mean, x_bar = 9
sample standard deviation, s = 2.4
- A sample of n = 24 observation was taken from a population of ( N ) with unknown population standard deviation ( σ ).
- The conditions of standard normal distribution are no longer applicable i.e:
n = 24 < 30
unknown population standard deviation ( σ )
- We will model the sample using t-distribution with ( n - 1 ) = 23 degrees of freedom.
- The t-statistics of the sample mean x_bar can be determined from standard t-distribution:
- The t-test value for mean ( u ) is -185.75297
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
A
B
F
are all correct
I need to write more to get this published
5.24 x 5 = $26.2
5 Muffins would cost $26.2
<u>Corrected Question</u>
In the year 2009, the cost of a flat screen television can be modeled by the equation C = -10t^2 + 500 where t is the number of years since 2009. Factor this cost polynomial.
Answer:
Using express exponents, you write C=10(50-t^2)
Step-by-step explanation:
To factor the cost polynomial, 
, we follow these steps.
Step 1: Determine the greatest common divisor of the terms in the polynomial
The terms in the polynomial are 
The greatest common divisor of is 10.
Step 2: Factor the polynomial by dividing each of the terms with the greatest common divisor obtained above.
