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
4x2 - 7x = 3x + 24
First we rewrite the quadratic equation:
4x2 - 7x - 3x - 24 = 0
4x2 - 10x - 24 = 0
The solutions to the quadratic equation in this case are:
x1 = 4
x2 = -1.5
Answer:
x = -3/2
x = 4
The value of sin A is equal to 
<h3>RIGHT TRIANGLE</h3>
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem (
), it is possible finding angles or sides.
<h3>Trigonometric Ratios</h3>
The main trigonometric ratios for a right triangle are presented below.
The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.
Now you can find sin A.
Learn more about trigonometric ratios here:
brainly.com/question/11967894
#SPJ1
Answer:
Yes
Step-by-step explanation:
6(-1-4)-30(-1) can be simplified into 6(-5)+30 which becomes -30+30, and then 0.
