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OverLord2011 [107]
1 year ago
14

Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio

Mathematics
1 answer:
loris [4]1 year ago
3 0
Hi !

<span><u>Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio ?</u></span>

l=9\;m\\L=x

So\;Perimeter=2(9+x)=18+2x=40\;m\\\\18+2x=40\\2x=40-18\\2x=22\\\\x=\dfrac{22}{2}\\\\\boxed{x=L=11}

The lenght of Judy's Patio is 11 meters.
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The newest invention of the 6.431x staff is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2
Gwar [14]

Answer:

<h2>The answer is 0.23(approx).</h2>

Step-by-step explanation:

The given die is a three sided die, hence, there are only three possibilities of getting the outcomes.

We need to find the probability of getting exactly 3s as the result.

From the sequence of 6 independent rolls, 2 rolls can be chosen in ^6C_2 = \frac{6!}{2!\times4!} = \frac{30}{2} = 15 ways.

The probability of getting two 3 as outcome is \frac{1}{4} \times\frac{1}{4} = \frac{1}{16}.

In the rest of the 4 sequences, will not be any 3 as outcome.

Probability of not getting a outcome rather than 3 is 1 - \frac{1}{4} = \frac{3}{4}.

Hence, the required probability is 15\times\frac{1}{16}(\frac{3}{4})^4 = \frac{1215}{4096}≅0.2966 or, 0.23.

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1 year ago
A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.
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To make purple paint, Mya mixed 2/5 cup of red paint with 5/8 cup of blue paint. She wants to make a larger batch of the purple
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2 years ago
A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
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Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

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[10.41±1.645*(\frac{3.71}{\sqrt{28} } )]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

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2 years ago
dr.smith prescribes gentamicin for a patient with a serious bacterial infection . if a 750 ml bag contains 300 mg gentamicin and
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Answer:

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750 ml       300mg

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750 / 300 = 300 / x

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2 years ago
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