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3 years ago

Can anyone help me with this

Mathematics

1 answer:

Nataliya [291]3 years ago

5 0

To find surface area, we can use the equation:

SA=2lw+2wh+2lh, where:
l=10 in
w=3 in
h=7 in

SA=(2)(10)(3)+(2)(3)(7)+(2)(10)(7)
SA=60+42+140
SA=242 in²

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What is the tru solution to the logarithmic equation below? Log4[log4(2x)]=1

zaharov [31]

$\log_4(\log_42x)=1$

Take both sides as powers of 4:

$4^{\log_4(\log_42x)}=4^1\implies\log_42x=4$

Do it again:

$4^{\log_42x}=4^4\implies2x=(2^2)^4=2^8\implies x=2^7=128$

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3 years ago

Find the surface area. round to the nearest hundredth when necessary.

Dmitry_Shevchenko [17]

Answer:

The surface area of the cuboid is 648 m^2

Step-by-step explanation:

What we have here is cuboidal in outlook

By using the formula for the surface area of a cuboid, we can get the surface area of the shape

mathematically, we have the surface area of a cuboid as follows;

2(lb + lh + bh)

where l is the length, b is the breadth (width) and h is the height

We can have the length as 9 m, the width as 9 m and the height as 13.5 m

Substituting these values, we have the surface area of the cuboid as;

A = 2(9(9) + 9(13.5) + 9(13.5))

A = 2(81 + 243)

A= 2(324)

A = 648 m^2

8 0

3 years ago

If I have 150,000 crystals, and ONE costume cost 4,000 crystals, how many costumes can I buy total?

MArishka [77]

Okay, think of it this way:

You have to find how many times 4,000 goes into 150,000.

This will tell you how many costumes you can buy.

To make this easier, we can divide 4 by 150. (this is proportional to 4,000 and 150,000 since we took 3 zeros from each number; you will get the same answer)

150/4= 37.5

You can buy 37 whole costumes.

Hope this helped!

6 0

3 years ago

A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w

sergejj [24]

Answer:

a) $a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

b) $P(X \geq 3) = 1-P(X$

c) $P(\bar X \geq 225)=1- P(\bar X$

Step-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".

2) Part a

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

$X \sim N(225,16.5)$

Where $\mu=225$ and $\sigma=16.5$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674=\frac{a-225}{16.5}$

And if we solve for a we got

$a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

$X\sim Bin(n=10, p=0.25)$