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sergejj [24]
3 years ago
15

How do you write the decimal 8.517 in two other forms

Mathematics
2 answers:
Aleks04 [339]3 years ago
4 0
8517/1000
or 8 and 517/1000
katen-ka-za [31]3 years ago
4 0


8517/1000
and
Eight and five hundred seventeen thousandths.

hope it helps!!



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I’m bored somebody plz talk to me
Molodets [167]

Answer:

hi, how are you?

Step-by-step explanation:

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4 0
3 years ago
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The population of a rabbit colony triples each month.
djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

P(t) = P(0)(3)^t

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that P(0) = 5

So

P(t) = 5(3)^t

How many rabbits are there after 6 months?

This is P(6). So

P(6) = 5(3)^6 = 3645

3645 rabbits after 6 months.

3 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)

And we want this probability:

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

We can find the individual probabilities like this:

P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563

P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877

P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816

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

Part c

For this case we know that the distribution for the sample mean is given by:

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

And we want this probability:

P(\bar X \geq 225)

And for this case we can use the complement rule and the z score given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we replace we got:

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

4 0
3 years ago
HELP PLS ASAP I NEED HELP PLS HELP ANSWER THE QEUSTION IN THE PHOTO PLS
Stolb23 [73]
I am guessing it is b! because BG and BA are sides, and BAU and BGN are angles.
5 0
3 years ago
I need help with this questions, please help ill mark brainliest..
Natasha_Volkova [10]

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

Equation that represents the relationship between the three sides of a triangle is,

a² + b² = c²

Where c = longest side of the triangle

If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.

Option A.

27 in, 36 in, 45 in

(45)² = (27)² + (36)²

2025 = 729 + 1296

2025 = 2025

True.

Option 2.

18 in, 22 in, 28 in

(28)² = (18)² + (22)²

784 = 324 + 484

784 = 808

False.

Option 3

10 in, 24 in, 26 in

(26)² = (10)² + (24)²

676 = 100 + 576

676 = 676

True.

Option 4

20 in, 21 in, 31 in

(31)² = (20)² + (21)²

961 = 400 + 441

961 = 841

False.

Option 5

28 in, 45 in, 53 in

(53)² = (28)² + (45)²

2809 = 784 + 2025

2809 = 2809

True.

Therefore, Options (1), (3) and (5) will be the correct options.

6 0
3 years ago
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