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3 years ago

Xy - 11 = 5 show the direct variation expalin your reasoning

1 answer:

5 0

Hey there, Lets solve this one by one

Firstly, add 11 to both sides

 $xy=5+11$

Now, Simplify 5+11 to 16

 $xy=16$

Finally, divide both sides by variable y

 $x = 16 /y$

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Haley mixes 2 1/2 a cup of water with 1/3 of grape juice concentrate. Michael mixes 1 1/3 cups of water with1/4 of grape juice c

Olegator [25]

Answer:

2 4/6 is what Haley has and 1 5/12 is what Michael has. I was unsure what the question was but I hope this answered it!

Step-by-step explanation:

4 0

3 years ago

Consider a binomial experiment with 15 trials and probability 0.35 of success on a single trial.

DedPeter [7]

Answer:

$P(X = 10 ) = 0.0096$

$P(X = 10 ) = 0.0085$

Option A is correct

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The probability of success is $p = 0.35$

The number of success we are considering is r = 10

Now the probability of failure is mathematically evaluated as

$q = 1- p$

substituting value

$q = 1- 0.35$

$q = 0.65$

Now using the binomial distribution to find the probability of exactly 10 successes we have that

$P(X = r ) = [\left n } \atop {r}} \right. ] * p^r * q^{n- r}$

substituting values

$P(X = 10 ) = [\left 15 } \atop {10}} \right. ] * p^{10}* q^{15- 10}$

Where $[\left 15 } \atop {10}} \right. ]$ mean 15 combination 10 which is evaluated with a calculator to obtain

$[\left 15 } \atop {10}} \right. ] = 3003$

$P(X = 10 ) = 3003 * 0.35 ^{10}* 0.65^{15- 10}$

$P(X = 10 ) = 0.0096$

Now using the normal distribution to approximate the probability of exactly 10 successes, we have that

$P(X = r ) = P( r < X < r )$

Applying continuity correction

$P(X = r ) = P( r -0.5 < X < r +0.5)$

substituting values

$P(X = 10) = P( 10-0.5 < X < 10+0.5)$

$P(X = 10 ) = P( 9.5 < X < 10.5)$

Standardizing

$P(X = r ) = P( \frac{9.5 - \mu }{\sigma } < \frac{X - \mu }{\sigma } < \frac{10.5 - \mu}{\sigma } )$

The where $\mu$ is the mean which is mathematically represented as

$\mu = n * p$

substituting values

$\mu = 15 * 0.35$

$\mu = 5.25$

The standard deviation is evaluated as

$\sigma = \sqrt{n * p * q }$

substituting values

$\sigma = \sqrt{15 * 0.35 * 0.65 }$

$\sigma = 1.8473$

Thus

$P(X = 10 ) = P( \frac{9.5 - 5.25 }{1.8473 } < \frac{X - 5.25 }{1.8473 } < \frac{10.5 - 5.25}{1.8473 } )$

$P(X = 10 ) = P( 2.30 < Z < 2.842 )$

$P(X = 10 ) = P(Z < 2.842 ) - P(Z < 2.30 )$

From the normal distribution table we obtain the $P(Z < 2.841)$ as

$P(Z < 2.841) = 0.99775$

And the $P(Z < 2.30)$

$P(Z < 2.30) = 0.98928$

There value can also be obtained from a probability of z calculator at (Calculator dot net website)

$P(X = 10) = 0.99775 - 0.98928$

$P(X = 10 ) = 0.0085$

Looking at the calculated values for question a and b we see that the values are fairly different.

8 0

4 years ago

A baker uses 5.5 pounds of flour daily How many ounces of flour will he use in two weeks (1lb=160z) *PLZ HELP

bixtya [17]

There are 14 days in two weeks.
5.5 x 2 = 77 lbs.
77 lbs = 1,232 oz.
The baker will use 1,232 oz of flour in two weeks.

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3 years ago

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Step-by-step explanation:

bc i know

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Answer: Try doing math

Step-by-step explanation: because owo

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