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3 years ago

Please help

Mathematics

2 answers:

Maurinko [17]3 years ago

7 0

Answer:

704 square yards

Step-by-step explanation:

10 * 19 = 190

190 * 2 = 380

12 * 19 = 228

12 / 2 = 6

6 * 8 = 48

48 * 2 = 96

96 + 228 + 380 = 704

Hope this helped! Have a nice day, and plz mark as brainliest if correct!!!

-Lil G

lana66690 [7]3 years ago

3 0

Answer:

666 yards

Step-by-step explanation:

Find the area of each side of the triangular prism and add them up. There is also a SA formula for different 3D shapes.

SA of triangles: 48 yd. Since this same triangle is opposite to it, the SA of both combined would be 96 yd.

SA of rectangles: 190 yd. There are three of these rectangles, so the total SA of all three of them combined would be 570 yd.

570 yd + 96 yd = 666 yd

Hope that helps!

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determine the equation of the parabola (simplified) with roots -3+sqrt6 and -3-sqrt6, and passing through the point (-1,4)

klio [65]

Given:

Roots:

$\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}$

Point: (-1,4)

To determine the equation of the parabola with the given roots and point, we find the missing values first.

Since the roots are given, we can say that the equation is:

$y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})$

Next, we expand the terms.

$y=a(x^2+6x+3)$

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

$\begin{gathered} y=a(x^2+6x+3) \\ 4=a((-1)^2+6(-1)+3) \\ \text{Simplify and rearrange} \\ 4=a(-2) \\ a=\frac{4}{-2} \\ a=-2 \end{gathered}$

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$undefined$

6 0

2 years ago

Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights

user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that $\mu = 85, \sigma = 8$