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2 years ago

Use the distributive property to write expression without parenthesis 6(6x-5)

Mathematics

2 answers:

Makovka662 [10]2 years ago

8 0

Answer:

The answer is 36x – 30

Step-by-step explanation:

6(6x – 5)

6 × 6x – 6 × 5

36x – 30

Thus, The answer is 36x – 30

-TheUnknownScientist 72

Lena [83]2 years ago

3 0

Answer: 36x-30

Step-by-step explanation:

6 times 6x is 36x and 6 times -5 is -30

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I need help with this...

lisov135 [29]

ln 5
e = ?
x
Keep in mind that y=e and y = ln x are inverse functions of one another.
ln 5
e , we can drop both the "e" and the "ln 5." We are left with 5 (answer).
ln 5
Alternatively, we could take the ln of both sides of y = e

which will result in ln y = (ln 5) ln e. Note that ln e = 1 (these two functions are inverses of one another).

Then we are left with ln y = ln 5. Dropping the "ln" operator from both sides,

y=5 (same as before).

8 0

3 years ago

A map has a scale of 2cm for every 25 miles. The distance in the map between griffin park and the San Diego zoo is 10 cm. How fa

aliina [53]

$2 \times 5 = 10 \\ 25 \times 5 = 125$
125 miles

3 0

2 years ago

a roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decora

Arada [10]

Answer:

The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

Step-by-step explanation:

Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.

To find : What is the mass of the decoration and of each passenger car?

Solution :

Let the mass of each passenger is x.

Let the mass of front decoration is y.

When the number of passenger = 6

Mass of 6 passengers and front decoration = 3500 kg.

The equation form is $6x+y=3500$ ..........[1]

When the number of passengers = 4

Mass of 4 passengers and front decoration = 2400 kg.

The equation form is $4x+y=2400$ ........[2]

Solving equation [1] and [2]

Subtract equation [2] from [1],

$6x+y-4x-y=3500-2400$

$2x=1100$

$x=550$

Put value in [1],

$6(550)+y=3500$

$3300+y=3500$

$y=200$

Therefore, The mass of each passenger is 550 kg.

The mass of front decoration is 200 Kg.

8 0

3 years ago

Bridge hand is made up of 13 cards from a deck of 52. Find the probability that a hand chosen at random contains at least 1 nine

Maksim231197 [3]

I think the answer in that problem is 10%

7 0

2 years ago

Read 2 more answers

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of

iris [78.8K]

Answer:

The probability that the mean battery life would be greater than 533.2 minutes (in a sample of 75 batteries) is $\\ P(z>0.48) = P(x>533.2) = 0.3156$

Step-by-step explanation:

The main thing we have to take into account in this question is that we are about to find the probability of a sample mean. The distribution for sample means follows a normal distribution with mean $\\ \mu$ and standard deviation $\\ \frac{\sigma}{\sqrt{n}}$ . Mathematically

$\\ \overline{x} \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

For values of the sample $\\ n \ge 30$ , no matter the distribution the data come from.

And the variable z follows a standard normal distribution, and, as we can remember, this distribution has a mean = 0 and a standard deviation = 1. Mathematically

$\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$ [1]

That is

$\\ z \sim N(0, 1)$

We have a variance of 3364. That is, a standard deviation of

$\\ \sigma^2 = 3364; \sigma = \sqrt{3364} = 58$

The population mean is

$\\ \mu = 530$

The sample size is $\\ n = 75$

The sample mean is $\\ \overline{x} = 533.2$

With all this information, we can solve the question

The probability that the mean battery life would be greater than 533.2 minutes

Using equation [1]

$\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$\\ z = \frac{533.2 - 530}{\frac{58}{\sqrt{75}}}$

$\\ z = \frac{3.2}{\frac{58}{8.66025}}$

$\\ z = \frac{3.2}{6.69726}$

$\\ z = 0.47780$

With this value of z we can consult a cumulative standard normal table (or use some statistic program) to find the cumulative probability for z (and remember that this variable follows a standard normal distribution).

Most standard normal tables have values for z for only two decimals, so we can round the previous value for z as z = 0.48.

Then

$\\ P(z$

However, in the question we are asked for $\\ P(z>0.48) = P(x>533.2)$ . As well as all normal distributions, the standard normal distribution is symmetrical around the mean, and we have

$\\ P(z>0.48) = 1 - P(z$

Thus

$\\ P(z>0.48) = 1 - 0.68439$

$\\ P(z>0.48) = 0.31561$

Rounding to four decimal places, we have

$\\ P(z>0.48) = 0.3156$

So, the probability that the mean battery life would be greater than 533.2 minutes is (in a sample of 75 batteries) $\\ P(z>0.48) = P(x>533.2) = 0.3156$ .

5 0

3 years ago