The ratio of dates to peanuts is the same as cashews to raisins. Simplified, both ratios equal 1/2.
Answer:
A.
Step-by-step explanation:
From the given information.
The proportion of American Millennials still with their parents = 0.36
The sample size = 300
Sample proportion = 0.43
Level of significance = 0.006
P-value = 0.006
Null hypothesis:
The required task is to determine the assumption about the sample that underlies the hypothesis test from the given options.
A.
This is because the student wants to check if the null hypothesis ( which states that of Millennial students at their campus, 36% live at home with their parents) is correct or not.
<h3>
Answer: 3.6</h3>
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Explanation:
We use the cosine ratio here. Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(69) = x/10
10*cos(69) = x
x = 10*cos(69)
x = 3.583679495453 which is approximate
x = 3.6
Answer:
y = -1x + 0.5
Step-by-step explanation:
First, I plotted the points (-7, 8) and (2, -2). Then, I drew a line connecting the two points. At the point (-7, 8), I went down 2 squares and to the right 2. This would give me a slope of -1. Since the line touches the y-axis at 0.5, this is the y-intercept.
I am not sure about the y-intercept of this equation. If I got this wrong, I am sorry and please let me know. Thank you!
Answer:
Surface area = 726 cm²
None of the options is correct.
Step-by-step explanation:
Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)
✔️Surface area of cone = πr(r + l)
Where,
Radius (r) = 5 cm
Slant height (l) = √(10² + 5²) (Pythagorean theorem)
Slant height (l) = 11.2 cm
Plug in the values
= π*5(5 + 11.2)
= 254.5 cm²
✔️Surface area of the cylinder = 2πr(h + r)
r = 5 cm
h = 15 cm
Plug in the values into the formula
S.A = 2*π*5(15 + 5)
S.A = 628.3 cm²
✔️area of base of cone = πr²
r = 5 cm
Area = π*5² = 78.5 cm²
✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)
= 882.8 - 157
= 726 cm² (nearest square meter)
None of the options is correct.
