The volume of a sphere is 500 3 πcm3. What is the radius?
2 answers:
Answer:
about 4.9 cm
Step-by-step explanation:
The equation for the volume of a sphere is V= . So, to solve this problem we will plug in 500 for V and solve for the radius,
.
- 500=
- Multiply both sides by 3:
- Divide both sides by 4:
- Divide both sides by
:
- Find the cubed root of both sides:
- The radius is about 4.9 cm
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Answer:
we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi
Step-by-step explanation:
Let's first define the hypothesis;
Null hypothesis: H0: μ = 4.7
Alternative hypothesis: Ha: μ ≠ 4.7
We have;
Sample size; n = 110
Sample mean; x¯ = 4.6
Variance: σ² = 0.64
Standard deviation; σ = √0.64 = 0.8
Formula for test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (4.6 - 4.7)/(0.8/√110)
z = -0.1/0.0763
z = -1.31
From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;
P-value = 0.190196
The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7
σ μ
Remember: i² = -1
Hope this helps
Hope this helps
The measure of angle J is 19.8°, and the correct option is D.
<h3>What is the formula of cosine?</h3>The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
Hence, the measure of angle J is 19.8°, and the correct option is D.
Learn more about law cosine here;
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