Answer: 4/1
Step-by-step explanation:
4/1 because even tho it is an improper fraction when you put the number as a whole it is 4
Use a half-angle identity to find the exact value of sin pi/8
295×((((1+0.1÷4)^(4×6)−1)
÷(0.1÷4))×(1+0.1÷4))
=9,781.54
Given the graph, you can find information that would give you the slope intercept form of the linear model, which is:
y= mx+b
first off, you can find the y intercept, which is the number at which the line crosses the y axis. that is the b value.
the m value is the slope. slope is rise/run, which simply means the # of units it goes up/down, divided by the # of units it goes right/left.
so, after knowing your m and b values, you can plug it in the formula given above, and that's how you will end up w the equation of a line. I hope this helped!! x
Answer:
z= 0.278
Step-by-step explanation:
Given data
n1= 60 ; n2 = 100
mean 1= x1`= 10.4; mean 2= x2`= 9.7
standard deviation 1= s1= 2.7 pounds ; standard deviation 2= s2 = 1.9 lb
We formulate our null and alternate hypothesis as
H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)
We set level of significance α= 0.05
the test statistic to be used under H0 is
z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂
the critical region is z > ± 1.96
Computations
z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100
z= 10.4- 9.7/ √ 7.29/60 + 3.61/100
z= 0.7/√ 0.1215+ 0.0361
z=0.7 /√0.1576
z= 0.7 (0.396988)
z= 0.2778= 0.278
Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0 at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.
