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olchik [2.2K]
3 years ago
7

For the given interval, is the function increasing or decreasing? ​

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

increasing

Step-by-step explanation:

You might be interested in
How do you write the terminating decimal for 3/4
Veronika [31]

Answer:

3/4= 0.75

Step-by-step explanation:

Divide #3 by #4 to get 0.75

3 0
3 years ago
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys
Luba_88 [7]

Answer:

z=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would earn a certificate of recognition from the fitness association

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".  

Solution to the problem

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

X \sim N(470,60)  

Where \mu=470 and \sigma=60

NOTE: For this case the fastest 10% is on the lower tail of the distribution

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

P(X>a)=0.9   (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 0.1 of the area on the left and 0.9 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.1 and P(z>-1.28)=0.9

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=-1.28

And if we solve for a we got

a=470 -1.28*60=393.2

So the value of height that separates the bottom 10% (Fastest 10%) of data from the top 90% is 393.2.

so if the time is 393.2 or lower a boy would  earn a certificate of recognition from the fitness association

4 0
3 years ago
Beth buys 5 gallons of tea for a party. If each serving is 1 cup how kany servings will there be at the party
Bumek [7]

Answer:

80, because there a 16 cups in one gallon and 5 gallons

Step-by-step explanation:

5 0
3 years ago
Solve for U <br><br> 11=8+u/7.68
BlackZzzverrR [31]

\begin{gathered}\\ \sf\longmapsto 11=\frac{8+u}{7.68}\end{gathered}

\begin{gathered}\\ \sf\longmapsto 11 =  \frac{8 + u}{ \frac{192}{25} } \end{gathered}

\begin{gathered}\\ \sf\longmapsto 11=\frac{(8+u)×25}{192}\end{gathered}

\begin{gathered}\\ \sf\longmapsto 11=\frac{200+25u}{192}\end{gathered}

\begin{gathered}\\ \sf\longmapsto 2112=200+25u\end{gathered}

\begin{gathered}\\ \sf\longmapsto 2112-25u=200\end{gathered}

\begin{gathered}\\ \sf\longmapsto -25u=200-2112\end{gathered}

\begin{gathered}\\ \sf\longmapsto -25u=-1912\end{gathered}

\begin{gathered}\\ \sf\longmapsto u=\frac{1912}{25}\end{gathered}

<u>Alternate form:</u>

<u>u</u><u>=</u><u>76.48</u>

7 0
2 years ago
1 divided by 9/13 =<br><br>1 2/5 divided by 1 13/15 = <br><br>1 2/3 x 2 1/10 = <br>help
Allisa [31]

Answer:1 divided by 9/13=1.4,1 2/5 divided by 1 13/15=13/2,1 2/3 x 2 1/10=1/1

Step-by-step explanation:

5 0
3 years ago
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