Maria ate 20% of a box of cereal that weighed 300 grams. How many grams of cereal did she eat? A tape diagram. Maria ate 20 perc
2 answers:
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<span>5200mL </span>→ 520 cL → 52dL →<span> 5.2L
</span><span>Example:
If
1L ------ 1000mL
x -------- 5200mL
1000x = 5200
</span>
<span>x = 5,2
</span>
Therefore:
<span>52L > 5200mL or 5.2L (True)
</span>
</span><span>Example:
If
1L ------ 1000mL
x -------- 5200mL
1000x = 5200
</span>
<span>x = 5,2
</span>
Therefore:
<span>52L > 5200mL or 5.2L (True)
</span>
Answer: 0.9332.
Step-by-step explanation:
Claim : College Algebra final exam score of engineering majors equal to 88.
Given that : The test statistic is z equals to 1.50.
To find the p-value (Probability value), we use standard normal distribution table, and search the p-value corresponds to the z-score.
In a Standard Normal Distribution Table below, the p-value corresponds z equals 1.5 is 0.9332.
Hence, the p-value is 0.9332.
The volume of a sphere is given by:
So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:
</span>![V=\pi \int_{a}^{b}[f(x)]^{2}dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5Bf%28x%29%5D%5E%7B2%7Ddx)
<span>
Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:
</span>
<span>
Isolationg y:
</span>
<span>
So,
</span>
<span>
</span>![V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx](https://tex.z-dn.net/?f=V%3D%5Cpi%20%5Cint_%7Ba%7D%5E%7Bb%7D%5B%5Csqrt%7Br%5E%7B2%7D-x%5E%7B2%7D%7D%5D%5E%7B2%7Ddx)
<span>
</span>
<span>
being -r and r the limits of this integral.
</span>
<span>
Solving:
</span>![V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}](https://tex.z-dn.net/?f=V%3D%5Cpi%5Br%5E%7B2%7Dx-%5Cfrac%7Bx%5E%7B3%7D%7D%7B3%7D%5D%5Cright%7C_%7B-r%7D%5E%7Br%7D)
Finally:
<span>
</span>
<span>
</span><span>
</span>
So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:
</span>
<span>
Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:
</span>
<span>
Isolationg y:
</span>
So,
</span>
</span>
<span>
</span>
being -r and r the limits of this integral.
</span>
<span>
Solving:
</span>
Finally:
<span>
</span>
</span><span>
</span>