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OlgaM077 [116]
3 years ago
11

A rectangular room has a perimeter of 70m and is 20m long write an equation to represent the area

Mathematics
1 answer:
ladessa [460]3 years ago
5 0
70-40= 30
30/2 = 15
40/2= 20
15 x 20 = 300
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Answer:

7 = .35, 8 = .31, 9 = .27, 10 = .25  

Step-by-step explanation:

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What is the x-intercept in this linear equation?<br> 2y - 4x = -12
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The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length
Darina [25.2K]

Answer:

Length of other base = 42 cm

Step-by-step explanation:

h = 24 cm

One of its base a = 30 cm

Area=864cm^{2}\\\\\frac{(a+b)*h}{2}=864\\\\\frac{(30+b)*24}{2}=864\\\\(30+b)*12=864\\\\30+b=\frac{864}{12}\\\\30+b=72

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4 years ago
What is a unit fractions?
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It is also defined as the reciprocal of the any positive integers.

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The fraction with numerator is any number other one is called

the non-unit fractions.

Example of the non-unit fractions are

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3 years ago
The distribution of the number of people in line at a grocery store has a mean of 3 and a variance of 9. A sample of the numbers
Airida [17]

Answer:

a) P(\bar X >4)=P(Z>\frac{4-3}{\frac{3}{\sqrt{50}}}=2.357)

P(Z>2.357)=1-P(Z

b) P(\bar X \frac{2.5-3}{\frac{3}{\sqrt{50}}}=-1.179)

P(Z

c)  

P(2.5 < \bar X< 3.5) = P(\frac{2.5-3}{\frac{3}{\sqrt{50}}}

P(-1.179Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the number of people of a population, and for this case we know that:

Where \mu=3 and \sigma=\sqrt{9}=3

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(\bar X >4)= P(z> \frac{4-3}{\frac{3}{\sqrt{50}}})

And using a calculator, excel or the normal standard table we have that:

P(Z>2.357)=1-P(Z

Part b

P(\bar X  \frac{2.5-3}{\frac{3}{\sqrt{50}}})

And using a calculator, excel or the normal standard table we have that:

P(Z

Part c

For this case we want this probability:

P(2.5 < \bar X< 3.5) = P(\frac{2.5-3}{\frac{3}{\sqrt{50}}}

And using a calculator, excel or the normal standard table we have that:

P(-1.179

7 0
3 years ago
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