Answer:
The mean weight is not greater than 16 ounces
Step-by-step explanation:
Null hypothesis: Mean weight is greater than 16 ounces
Alternate hypothesis: Mean weight is not greater than 16 ounces.
Sample mean= 16.04 ounces
Assumed mean= 16 ounces
Significance level = 0.05
Sample standard deviation = 0.08 ounces
Number of samples= 35
To test the claim about the mean, Z = (sample mean - assumed mean) ÷ (standard deviation÷ √number of samples)
Z = (16.04 - 16) ÷ (0.08 ÷ √35)
Z = 0.04 ÷ (0.08 ÷ 5.92)
Z= 0.04 ÷ 0.014 = 2.86
Z = 2.86
It is a one-tailed test, the critical region is an area of 0.05 (the significance level). The critical value of the critical region is 1.64
Since the computed Z 2.86 is greater than the critical value 1.64, the null hypothesis is rejected.
Conclusion
The mean weight is not greater than 16 ounces
For number one I would recommend using an app called math papa it works really well with algebra and etc
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
52 ft
Step-by-step explanation:
For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:
(24 ft)·(24 ft) = 576 ft^2
Then the missing segment length (DX) of the diameter chord is ...
DX·(36 ft) = 576 ft^2
DX = (576 ft^2)/(36 ft) = 16 ft
So, the total length of the diameter chord is ...
DX +XL = 16 ft + 36 ft
DL = 52 ft
_____
We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.
You can not call it domain cause it is only an expression not equation
you have to exclude 0 from domain