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4 years ago

7

What is the GCF of 12 and 7

2 answers:

madam [21]4 years ago

8 0

Answer:

The GCF of 7 and 12 is 1.

Gwar [14]4 years ago

4 0

Answer:

Step-by-step explanation:

GCF of 12 and 7 = 1

If there is no common factor then , GCF will be 1

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A box contains 5 plain pencils and 7 pens. A second box contains 4 color pencils and 4

Savatey [412]

5:7 (pencils to pens)

7/12 chance that a pen from the first box will be selected.

4:4 (colour pencils to crayons)

4/8 = 1/2 chance that a crayon from the second box will be selected.

The probability of picking both:

7/12 * 1/2 = 8/24 = 1/3

3 0

3 years ago

For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hi

larisa [96]

Answer: a) $(0.99)^4$

Step-by-step explanation:

Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.

Each of the four systems detects theft with a probability of .99 independently of the others .

Probability for independent events $(E_1 , E_2 , E_3 , ....., E_n)$ occurs together = $P(E_1)\times P(E_2)\times P(E_3)\ .....\times P(E_n)$ .

Then, the probability that when a theft occurs, all four systems will detect it

= (0.99) x (0.99) x (0.99) x (0.99)

$= (0.99)^4$

Hence, the probability that when a theft occurs, all four systems will detect it is $(0.99)^4$ .

Hence, the correct answer is a) $(0.99)^4$ .

5 0

3 years ago

Please helppp!!<br> For the equation y = 3x – 6 Complete the table for the x values given.

enot [183]

Answer:

Step-by-step explanation:

y = 3x -6

x = -2, y = -12

x = -1, y = -9

x = 0, y = -6

x = 1, y = -3

x = 2, y = 0

x= 3, y = 3

x -2 -1 0 1 2 3

y -12 -9 -6 -3 0 3

6 0

3 years ago

Find the equation in slope-intercept form (10,4) that is perpendicular to y=5x-3

TEA [102]

Perpendicular equation: y=-1/5x + 6

7 0

3 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

So

$P(X >300 ) = 0.97219$

8 0

3 years ago