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2 years ago

HELP PLEASE!! WILL MARK BRAINLIEST!!!!

Mathematics

1 answer:

elixir [45]2 years ago

4 0

Answer:

see below

Step-by-step explanation:

$\frac{1}{x^{2} } + \frac{2}{y}/ \frac{5}{x} -\frac{6}{y^2}$

find common denominator and add the fractions in numerator and denominator:

1/x² + 2/y = y+2x²/x²y

5/x -6/y² =5y² -6x/xy²

(y+2x²)/x²y / (5y²-6x)/xy² change into multiplication

(y+2x²)/x²y * xy²/(5y²-6x)

$\frac{y+2x^{2} }{x^{2} y} *\frac{xy^{2} }{5y^{2}-6x }$ simplify

y(y+2x²)/ x(5y²-6x)

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I believe its 45 degrees.

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2 years ago

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016

hodyreva [135]

Answer:

Required Probability = 0.97062

Step-by-step explanation:

We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.

Let X = weight of the newborn baby, so X ~ N( $\mu=4016 , \sigma^{2} = 532^{2}$ )

The standard normal z distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Now, probability that the weight will be less than 5026 grams = P(X < 5026)

P(X < 5026) = P( $\frac{X-\mu}{\sigma}$ < $\frac{5026-4016}{532}$ ) = P(Z < 1.89) = 0.97062

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2 years ago

Cameron went into a grocery store and bought 4 apples abd 7 mangoes, costing a total of $17.75. Gavin went into the same grocery

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Answer:

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2 years ago

You are offered two jobs. One with a yearly salary of $51,592, and the other an hourly

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2 years ago

An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th

adoni [48]

Answer:

Grade B score:

$76 \leq x \leq 89$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

$P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62$

$= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62$

$=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26$

We have to find the value of x such that the probability is 0.05

$P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26$

Thus, the numerical value of score to achieve grade B is

$76 \leq x \leq 89$

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3 years ago