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2 years ago

2. A large aquarium in the shape of a rectangular prism has the follo

Mathematics

2 answers:

timurjin [86]2 years ago

7 0

Answer: 38568 3/4

Step-by-step explanation:

Volume(V) = lwh

Where l=length;w=width;h=height

V = 50 * 25 1/2 * 30 1/4

V = 38,568 3/4 or 38,568.75

Jobisdone [24]2 years ago

6 0

Answer:

38568 3/4

Step-by-step explanation:

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Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

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.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$

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

$Z = \frac{80 - 77}{4.9}$

$Z = 0.61$

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that $X = 78, \mu = 75, \sigma = 3.7$ . So

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

$Z = \frac{75 - 78}{3.7}$

$Z = 0.81$

Rachel's z-score was of 0.81.

6 0

2 years ago

4. An object is at rest if all forces

algol13

Answer:

+5.5

Step-by-step explanation:

Lets say you have an apple and you apply -5.5 newtons of force to it, for it to be balanceds you have to push the opposite, which is +5.5 newtons.

3 0

1 year ago

Figure ABCD is graphed on a coordinate plane.

Phoenix [80]

1. BC is 1+3=4 (units)

2. AD is 3+5= 8 (units)

3. Draw the altitude CH from point C, as shown in the figure.

4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.

5. $CD^2=HD^2+CH^2$

$CD^2=2^2+4^2=4+16=20$

$CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} * \sqrt{5}=2 \sqrt{5}= 4.47$

6. AB=CD=4.47 because the trapezoid is isosceles.

7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)