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3 years ago

Evaluate j/4 when j=12

Mathematics

1 answer:

kap26 [50]3 years ago

5 0

Answer:

j/4=3

Step-by-step explanation:

j=12 j/4=12/4=3

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Greatest common factor of 4x-12

Helga [31]

Greatest common factor: 48

7 0

3 years ago

What are the potential solutions of In(x2 - 25) = 0?

Paha777 [63]

Answer:

$x=\pm\sqrt{26}$

Step-by-step explanation:

$ln(x^2-25)=0$

$e^{ln(x^2-25)}=e^0$

$x^2-25=1$

$x^2=26$

$x=\pm\sqrt{26}$

7 0

3 years ago

A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

4 years ago

The pizza parlor is running a special on 3-toppings pizzas. The topping choices include pepperoni, sausage, bacon mushrooms, oni

choli [55]

Answer:

Well there are 6 toppings. For one person to select sausage, it is \frac{1}{6} . For two people, multiply them together and the probability is \frac{1}{36}

4 0

3 years ago

!!!! HELP PLEASE !!!! WILL GIVE BRAINLIEST!!!!!!!!!

AnnyKZ [126]

Answer:

Step 1 is incorrect because it was mutiplied. Instead, you should divide.

Step-by-step explanation:

6 0

3 years ago