Find two numbers whose gcf is 90

Mathematics

2 answers:

Blababa [14]3 years ago

6 0

That would be 90 and 180 i think

yan [13]3 years ago

3 0

Answer:

180 and 90

Step-by-step explanation:

We are given that gcf of two numbers is 90.

We have to find those numbers which gcf is 90.

GCF: It is also called HCF.It is highest common factor of two numbers

Suppose , we have a=8 and b=4

$8=2\times 2\times 2$

$4=2\times 2$

HCF= $2\times 2=4$

If GCF=90

$180=2\times 2\times 3\times 3\times 5$

$90=2\times 3\times 3\times 5$

HCF= $2\times 3\times 3\times 5=90$

Therefore, the numbers are 90 and 180 whose gcf is 90.

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Assume the speed of vehicles along a stretch of I-10 has an approximately normal distribution with a mean of 81 mph and a standa

Pachacha [2.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: speed of a vehicle along a stretch of I-10 (mph)

This variable has a normal distribution with mean μ= 81 mph and a standard deviation σ= 8 mph.

The speed limit in the said stretch is 65 mph.

You need to calculate the probability of picking a car at random and its speed be at most 65 mph, symbolically:

P(X≤65)

To reach the probability, you need to use the standard normal distribution. To standardize the value fo X you have to subtract the value of μ and then divide it by σ:

P(Z≤(65-81)/8)= P(Z≤-2.00)

Now you look for the corresponding probability in the table of the standard normal distribution, since the value is negative you have to use the left entry. The integer and first decimal numbers are in the first column and the second decimal number is in the first row.

P(Z≤-2.00)= 0.0228

I hope it helps!