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inysia [295]
3 years ago
8

Factor 18x+6y using the GCF. Any Help? - Thank You

Mathematics
1 answer:
viva [34]3 years ago
4 0
The GCF is 6, since both 18 and 6 are divisible by six.

18x+6y
Pull out a six to factor
6(3x+y)
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A car can travel 24 miles for every 1 gallon of gasoline.
jasenka [17]
The car can travel 235.2 miles on 9.8 gallons. Just multiply 24 by 9.8.
5 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
JULIE HAS 10 YARDS OF RIBBON. SHE DIVDES THE RIBBON INTO 3 EQUAL PIECES AND USES 2 OF THE PIECES ON GIFTS. HOW MUCH RIBBON DOES
Aliun [14]

Answer:

6.66 yards of ribbon.

Step-by-step explanation:

If she has 10 yards of ribbon and divides it equally into three parts, those 3 parts would each be 3.33 yards long or 3 (1/3) yards long.

If she uses two of those parts on gifts, then she would use 3.33 x 2 or 6.66 yards of ribbon.

8 0
3 years ago
3 turtles walking.
Elenna [48]

Answer:

Divide 250 by 9.4 to get 26.6

Step-by-step explanation:

To calculate her unit rate, 1 minute, we must divide the distance travelled over 9.4 minutes by 9.4 to see how far she travelled in 1 minute.

8 0
3 years ago
Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account.
weqwewe [10]

Answer:

A.b = 210 + 15x

B.b = 210 – 15x

C.b = 195 + 15x

D.b = 195 – 15x

Step-by-step explanation

B is correct. Your starting amount is 210$ And you're taking away 15$ each time she uses the club,x.

3 0
3 years ago
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