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Usimov [2.4K]
2 years ago
10

Which equation, in point-slope form, passes through (-2, 4) and has a slope of 3?

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
7 0

Answer:

B. Y-4 =3(x+2)

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Evaluate the expression
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I am pretty sure it is 30. Hope it helps!!

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3 years ago
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Mark orders food for a restaurant. He orders 5 times the number of pounds of chicken as he does beef, and he orders 4 times the
tester [92]
180 pounds of chicken and 225 of beef
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3 years ago
Suppose we have a population whose proportion of items with the desired attribute is p = 0:5. (a) If a sample of size 200 is tak
crimeas [40]

Answer:

a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

Step-by-step explanation:

This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.

The parameters for the normal distribution will be

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/200}= 0.0353

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.0353}=-0.85\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.0353}=0.28

We can now calculate the probabilities:

P(0.47

If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.

b) If the sample size change, the standard deviation of the normal distribution changes:

\mu=p=0.5\\\\\sigma=\sqrt{p(1-p)/n} =\sqrt{0.5*0.5/100}= 0.05

We can calculate the z values for x1=0.47 and x2=0.51:

z_1=\frac{x_1-\mu}{\sigma}=\frac{0.47-0.5}{0.05}=-0.6\\\\z_2=\frac{x_2-\mu}{\sigma}=\frac{0.51-0.5}{0.05}=0.2

We can now calculate the probabilities:

P(0.47

If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.

8 0
2 years ago
A boat traveled 128 kilometers in
AlekseyPX

Answer:

The Distance cover by boat in 2 hours and 15 minutes is 72 km  

Step-by-step explanation:

Given as :

The Distance cover by boat = 128 kilometer

The time taken is 4 hours

As , Distance = Speed ×Time

So , Speed = \frac{Diastance}{Time}

Or, Speed = \frac{128 km}{4 hours}

∴   Speed = 32 km per hour

Now, again The boat travel 2 hours and 15 minutes further with speed 32 kmph

So, Time2 = 2 + \frac{15}{60}

Or,  Time2 = 2 + \frac{1}{4}

I.e Time2 = \frac{9}{4}  hours

Again , Distance = Speed ×Time

So ,    Distance = 32kmph × \frac{9}{4}  hours

I.e       Distance  = (\frac{32\times 9}{4}) = 72 kilometer

Hence The Distance cover by boat in 2 hours and 15 minutes is 72 km  Answer

5 0
2 years ago
Hozumi recorded the daily high temperatures for an 18-day period in the table shown please I need this really badly
mr Goodwill [35]

Answer:

the answer is letter A

Step-by-step explanation:

7 0
3 years ago
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