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hodyreva [135]
3 years ago
11

What is 4xy - 5y² - 3x² from 5x + 3y² - xy ? ​

Mathematics
2 answers:
andre [41]3 years ago
6 0

Refer the attachment for your answer

geniusboy [140]3 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The equivalent expression is ~

\boxed{ \sf8 {y}^{2}  + 3 {x}^{2}  + 5x - 5xy}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

Let's solve ~

  • 5x² + 3 {y}^{2}  - xy - (4xy - 5y {}^{2}  - 3 {x}^{2} )

  • 5x² + 3 {y}^{2}  - xy - 4xy  +5 {y}^{2}  + 3 {x}^{2}

  • 3 {y}^{2}  + 5 {y}^{2}  + 3 {x}^{2} + 5x²  - xy - 4xy

  • 8 {y}^{2}  + 8 {x}^{2}   - 5xy
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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe
soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

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

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of 87, thus \mu = 87.
  • The standard deviation is of 25, thus \sigma = 25.

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

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

Z = \frac{60 - 87}{25}

Z = -1.08

Z = -1.08 has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

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

Z = \frac{110 - 87}{25}

Z = 0.92

Z = 0.92 has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

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

Z = \frac{125 - 87}{25}

Z = 1.52

Z = 1.52 has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

7 0
3 years ago
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Lapatulllka [165]

Answer:

How to make V the subject of the formula?

In the formula v = u + at, v is the subject.

To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.

To make 'u' the subject of the formula in v = u + at,

To make 't' the subject of the formula, v = u + at, ...

The volume of a cuboid is the product of length and breadth of the cuboid.

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19) Two of the dozen eggs in a carton are cracked. About what percent of the carton is not cracked? (Round to the nearest whole
777dan777 [17]

Answer:

83%%

Step-by-step explanation:

We have that 2/12=1/6 of the eggs are cracked, so 1-1/6=5/6 of the eggs are not cracked.

Recall that 1/6=0.1666666666.... This means that 5/6=1-1/6=1-0.166666666...=0.833333333....

Rounding this to the nearest whole percent gives 83%%.

7 0
3 years ago
Which of the following is true for the number of trials for a binomial experiment. Explain your answer. The number of trials in
viktelen [127]

Answer:

The correct option is C.

Step-by-step explanation:

Consider the provided information.

Four conditions of a binomial experiment:

There should be fixed number of trials

Each trial is independent with respect to the others

The maximum possible outcomes are two

The probability of each outcome remains constant.

Now, observe the provided options:

Option A and B are not possible as they doesn't satisfy the conditions of binomial experiment which is there must be fixed number of trials.

Now observe the option C which state that there must be fixed number of trials, it satisfy the condition of a binomial experiment.

Therefore, the correct option is C.

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What is 48% written as a fraction? (in simplest form) A) 1 48 B) 6 25 C) 12 25 D) 24 25
alexgriva [62]

Answer:

48% is 12/25 as a fraction. So C

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