Answer: the value for the associated test statistic is 1.2653
Step-by-step explanation:
Given that;
sample size one n₁ = 10
mean one x"₁ = 6.4
standard deviation one S₁ = 1.1
sample size two n₁ = 11
mean two x"₂ = 5.6
standard deviation one S₁ = 1.7
H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Pooled Variance
sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))
we substitute
= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))
= √( { [(9) × 1.21 + (10) × 2.89] / (19) } × (0.1909))
= √({[ 39.79 ] / 19} × (0.1909))
= √( 2.0942 × 0.1909)
= √( 0.39978 )
= 0.63228
Now Test Statistics will be;
t = ( x"₁ - x"₂) / sp
we substitute
t = ( 6.4 - 5.6) / 0.63228
t = 0.8 / 0.63228
t = 1.2653
Therefore the value for the associated test statistic is 1.2653
Answer:
surface area of cube 
time
Step-by-step explanation:
given data
new volume = 10 time original volume
to find out
what factor surface area change
solution
we consider here side of cube is a
and volume is V
we consider here a is 2
then volume will be v1 = a³ = 2³ = 8
and surface area = 6a² = 6(2)² = 24 ..........1
so if volume increase 10 time
than
V = 10 × v1
a³ = 10 × 8
a³= 80
a = 2 × ∛10
and
surface area increase here
surface area = 6a²
surface area = 6( 2 × ∛10 )²
surface area = 24 × ............2
so from equation 1 and 2
surface area / surface area = 24 × / 24
surface area =
so here surface area of cube will be time
You can start by distributing the 5 to everything in the parenthesis.
5x-50=30-15x
Then get rid of your x values from one side, I chose to subtract 5x
-50 = 30 - 20x
Then subtract 30
-80=-20x
/-20
4=x
You can check by plugging your x into the equation to make sure it's right!
Answer:
<u><em>(x+5) is not a factor of f(x)</em></u>
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
