If AD : AB= 2:5, the coordinates of point F are?

The greatest common factor of 126 and 98 is: a) 2 b) 7 c) 14 d) 28

Virty [35]

Answer:

c) 14

Step-by-step explanation:

Find the prime factorization of 98

98 = 2 × 7 × 7

Find the prime factorization of 126

126 = 2 × 3 × 3 × 7

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 7

GCF = 14

Have a good day and stay safe!

3 0

3 years ago

Software filters rely heavily on ""blacklists"" (lists of known ""phishing"" URLs) to detect fraudulent e-mails. But such filter

crimeas [40]

Answer:

a) $X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The expected value is given by this formula:

$E(X) = np=16*0.2=3.2$

b) $P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Part a

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The expected value is given by this formula:

$E(X) = np=16*0.2=3.2$

Part b

For this case we want this probability:

$P(X=0)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And using this function we got:

$P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

6 0

3 years ago

Write the fraction or decimal as a percent #1. 0.622 ,#2. 0.303 #3. 2.45

Pani-rosa [81]

So do you need it as a percent or a fraction?

8 0

3 years ago

starting at home, nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. she then traveled back home along the

ankoles [38]

Distance from home to store = 4 * 0.5 = 2 miles.
Time taken to return home = (2/12) * 60 =10 minutes.
Total distance traveled = 2 * 2 = 4 miles.
Total time taken = 30 + 10 = 40 minutes.
Average speed for entire trip = total distance / total time in hours.
$Average\ speed=\frac{4}{\frac{40}{60}}=\frac{4\times60}{60}=6\ mph$

3 0

3 years ago

Read 2 more answers

The formula for the volume of a prism is v=bh and the formula for the volume of a pyramid is v=1/3 bh. Explain b in formulas

inysia [295]

The variable b represents the area of the base of the prism or pyramid. Hope that helps!

4 0

3 years ago