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3 years ago

What is the value of -3 + 4.5 - (- 1.2)

Mathematics

1 answer:

kari74 [83]3 years ago

7 0

The answer to your question is 13.5

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What shape is this called in mathematical term

Reika [66]

This is a cone or a cylindrical pyramid.

Hope this helps :-)

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3 years ago

Jeremy has two pieces of wood :one is 90 inches and the other is 72 inches. he wants to cut both pieces of wood into smaller pie

lapo4ka [179]

You would solve this type of problem by using GCF's, greatest common factors. Since you want they all the same length and no leftovers you need a common number. The GCF is 18. Each piece will be 18 inches. You will get a total of 9 pieces

8 0

4 years ago

1. A cheetah can run at a top velocity of 31 m/s and has a mass of 47 kg. What is the cheetahs kenetic energy?

Naily [24]

Answer:

1. 22583.5 J

2. 1248 kg

3. 78.09 m/s

Step-by-step explanation:

The formula for kinetic energy is ;

K.E = 1/2* m * v²

Where m is the mass and v is the velocity

K.E = 1/2 * m*v²

K.E = 1/2 * 47 * 31²

K.E = 22583.5 J

Velocity = 9.78 m/s.

Kinetic energy = 60,800 J

To get mass, apply the formula as;

K.E = 1/2 * m*v²

60,800 = 1/2 * m * 9.78²

60800 = 48.70845 m

60800/48.70845 = m

1248 = m

Mass = 1248 kg

K.E = 143.3 J

Mass = 0.047 kg

Apply the formula;

K.E = 1/2 * m*v²

143.3 = 1/2 * 0.047 * v²

143.3 = 0.0235 v²

143.3/0.0235 = v²

6097.87 = v²

v = √6097.87

v= 78.09 m/s

4 0

3 years ago

Scores for a civil service exam are normally distributed with a mean of 75 and a standard deviation of 6.5. To be eligible for c

kvasek [131]

Answer:

The lowest score you can earn and still be eligible for employment is 85.6925

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 75, \sigma = 6.5$