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Yanka [14]
2 years ago
14

Your school day begins at 8:50 a.m. and ends at 3:10 p.m. How long are you in school?

Mathematics
1 answer:
yan [13]2 years ago
7 0

Answer:

6 hours and 20 minutes

Step-by-step explanation:

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Find the product and simplify your answer.<br> -3x(6x3 - 5x + 5)
Len [333]

Answer:

Step-by-step explanation:

product: -18x4 + 15x2 - 15x

the simplification just ends up being the original equation.

4 0
3 years ago
The sum of 32,476 and a number P is divided by 381, the quotient is 100 and remainder is zero. Find the number P.
Misha Larkins [42]

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

6 0
3 years ago
Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.
Schach [20]

Answer:

1) FALSE

2) FALSE

3) TRUE

4) TRUE

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".  

Part 1

The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively.

The mean and the deviation for  the normal standard distribution are:

\mu=0, \sigma =1

So then that's FALSE.

Part 2

Using the standard normal curve, the z−score representing the 10th percentile is 1.28.

We are looking for a value a, that satisfy this:

P(X>a)=0.90   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.10 and P(Z>-1.28)=0.90

So that's FALSE.

Part 3

Let z1 be a z−score that is unknown but identifiable by position and area. If the symmetrical area between −z1 and +z1 is 0.9544, the value of z1 is 2.0

If we find this probability:

P(-2.0< Z

So on this case we can approximate to 0.9544. And that's TRUE.

Part 4

Using the standard normal curve, the z−score representing the 75th percentile is 0.67.

We are looking for a value a, that satisfy this:

P(X>a)=0.25   (a)

P(X   (b)  

We can find a 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=0.67. On this case P(Z<0.67)=0.75 and P(Z>0.67)=0.25

So that's TRUE.

3 0
3 years ago
Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
Elden [556K]

Answer:

The answer is "cirtical\  points \ (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})"

Step-by-step explanation:

Given:

g(x) = (x-e)^3e^{-(x-e)}

Find critical points:

g(x) = (x-e)^3e^{(e-x)}

differentiate the value with respect of x:

\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r}  \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]

critical points g'(x)=0

\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3

So,

The critical points of (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})

7 0
3 years ago
a state issues car license plates with three letters followed by three numbers (for example, fgh831 or bbb222). how many differe
vova2212 [387]

Answer:

17576000 different License plates are possible.

Step-by-step explanation:

Here we will use repetitive permutations.

First 3 digits of the license plates have letters from a to z and next 3 digits have numbers from 0 to 9.

Now, 26 letters ( a to z ) can take 3 positions with repetition in 26^{3} ways.

And 10 numbers ( 0 to 9 ) can take 3 positions with repetition in 10^{3} ways.

So the total number of license plates that can be made = 26^{3} \times 10^{3}  = 17576 \times 1000 = 17576000 plates.

5 0
2 years ago
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