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Natali5045456 [20]
3 years ago
8

What is the y-value of the solution of the system of equations below?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0
Answer=
-15x-12y-92=5. Y=-5x/4-97/12
-12x-2y-10z=3. Y=-3/2-6x-5z
3x+2y+z=0. Y=-3x/2-z/2
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A train traveled at a constant rate of f feet per second. how many feet did it travel in x minutes? (a) 60f x (b) fx 60 (c) x 60
sdas [7]

Distance travelled by train in x minutes is equal to 60fx feet as per given constant rate of f feet per second.

As given in the question,

Train travelled at a constant rate f feet per second

Let d be the distance travelled by train in x minutes

1 second =f feet

60 seconds = (60f) feet

1 minute = (60f) feet

x minutes = (60fx)feet

Therefore ,distance travelled by train in x minutes is equal to 60fx feet

as per given constant rate of f feet per second.

Learn more about distance here

brainly.com/question/15172156

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8 0
1 year ago
g The average midterm score of students in a certain course is 70 points. From the past experience it is known that the midterm
spayn [35]

Answer:

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average midterm score of students in a certain course is 70 points.

This means that \mu = 70

29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.

This means that \sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44

Find the probability that the average midterm score of these students is at most 75 points.

This is the pvalue of Z when X = 75. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{75 - 70}{2.44}

Z = 2.05

Z = 2.05 has a pvalue of 0.98.

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

8 0
3 years ago
Help pls :) 10 points
Alexeev081 [22]

Answer:

sq root of 64 = 8, sq root of 81 = 9, 8 and 9

Step-by-step explanation:

Since Sq root of 64 = 8 and Sq root of 81 = 9 it is known that sq root of 66 is between  8 and 9

7 0
2 years ago
Twice a first number decreased by a second number is 22. The first number increased by four times the second number is - 7.
AnnZ [28]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle is 7 cm. Find the circumference to the nearest tenth
Anton [14]

Answer:38.5 cm

Step-by-step explanation:To find the radius divide 7 by 2 which is 3.52. Then multiply 3.5 by itself which is 12.253.

3 0
2 years ago
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