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Damm [24]
2 years ago
6

use distributive property to simplify the expression 3 (8x + 2y) I need help with my algebra homework someone please help.

Mathematics
1 answer:
inysia [295]2 years ago
4 0

6 \times (4 \times x + y)
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Round each time to the nearest whole second. Then estimate how many seconds bailey won the race by.
Orlov [11]
The whole second is the first number to the left of the decimal (_.), so : 35.78=36 because 7>5. 39.51=40 because 5=5. 40-36=4. Bailey won the race by about 4 seconds. Hoped I helped!
8 0
2 years ago
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Choose the three shapes that have an area of 36 square centimeters.
Kay [80]

Answer:

6cm

Step-by-step explanation:

Area of a square =

s^2

Where s = one side

s = ?

A = s^2\\\\36 =s^2

Square root both sides

\sqrt{36} = \sqrt{s^2} \\\\6 =s

5 0
1 year ago
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the pr
Gre4nikov [31]

Answer:

z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5

z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5

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

P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)

And we can calculate the probability like this:P(-1.5 \leq Z \leq 1.5) = P(zStep-by-step explanation:

A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?

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".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(50,12)  

Where \mu=50 and \sigma=12

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

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

We can find the probability required like this:

z= \frac{47 -50}{\frac{12}{\sqrt{36}}}=-1.5

z= \frac{53 -50}{\frac{12}{\sqrt{36}}}=1.5

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

P(47 \leq \bar X \leq 53) =P(-1.5 \leq Z \leq 1.5)

And we can calculate the probability like this:

P(-1.5 \leq Z \leq 1.5) = P(z

4 0
1 year ago
Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion.
Oksi-84 [34.3K]

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

12.5 cm(\frac{10 milimeters}{1 centimeter}), which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

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2 years ago
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Which of these objects has the largest diameter? • Sun • Cricket Bat • Tennis Ball • Moon
Fed [463]
The moon does. The moon is waaaay bigger than any of these combined.
8 0
1 year ago
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