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Anton [14]
3 years ago
8

13 POINTS!!!!!

Mathematics
2 answers:
Valentin [98]3 years ago
7 0

Answer:

The graph of function f of x equals log base 5

So yes , D

vladimir1956 [14]3 years ago
6 0

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

5^y=12

Taking log with base five on both the sides.

log_{5}5^y=log_{5}12

y=log_{5}12                                 [\because log_aa^x=x]

This function can be written as

y=log_{5}x

Where, x=12.

Substitute x=5 in the above function.

y=log_{5}5=1

At x=5, the value of function is 1.

Only in option D, the value of function is 1 at x=5.

Therefore, the correct option is D.

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At central middle school, 2% if the students ride bikes to school. If 950 students attended central middle school how many stude
umka2103 [35]
19 students ride bikes.

(950 x 0.02 = 19)

Hope this helped!
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3 years ago
Solve for X<br> 4x – 8 = 3x – 8<br> X =
snow_tiger [21]

Answer: x=0

Step-by-step explanation:

4x-3x = 0

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3 years ago
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Trevor Has a Fair coin and a six-sided number cube with a number 1 through 6 on each side. He flips the coin and rolls a number
mina [271]

Answer:

1/12

Step-by-step explanation:

When you are doing probability with multiple things at once you have to multiply the probabilities of each asked number from each object together to get the probability of them both landing on those numbers

8 0
3 years ago
An article suggested that yield strength (ksi) for A36 grade steel is normally distributed with μ = 42 and σ = 5.5.
alexandr1967 [171]

Answer:

a)P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

b) 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

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

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 a

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

X \sim N(42,25.5)  

Where \mu=42 and \sigma=5.5

And we want this probability:

P( X

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X

We want this probability:

P( X >64)

And using the z score formula given by:

z = \frac{x -\mu}{\sigma}

We got:

P( X >64) =P(Z> \frac{64-42}{5.5}) =P(Z>4)=0.0000316

Part b

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

And if we solve for a we got

a=42 +0.674*5.5=45.707

So the value of height that separates the bottom 75% of data from the top 25% is 45.707.  

8 0
3 years ago
PLEASE , ANYONE SAY THE ANSWER!! PLEASE I NEED IT , PLS ANYONE HELP
klasskru [66]

Answer:

<h2><em><u>B. 20% because he only got 400 back</u></em><em><u> </u></em></h2>

<em>Pls</em><em> </em><em>Mark</em><em> </em><em>me</em><em> </em><em>as</em><em> </em><em>brainliest</em><em> </em>

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