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3 years ago

Solve equation show work

Mathematics

1 answer:

Naddika [18.5K]3 years ago

7 0

Answer:

h= -8/3

Picture Explanation:

Divide 3 on both sides of the equal sign, as shown above, so (h) can be alone.
Since negative 8, let alone positive 8, can't be divided into 3, you simply leave the fraction as is. So you're left with (h= -8/3)

Hope this makes sense.

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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46

Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = Amount of peanut butter in a jar

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 454 g

$\sigma$ = standard deviation = 10.2 g

So, X ~ Normal( $\mu=454 , \sigma^{2} = 10.2^{2}$ )

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

P(X > 466 g) = P( $\frac{X-\mu}{\sigma}$ > $\frac{466-454}{10.2}$ ) = P(Z > 1.18) = 1 - P(Z $\leq$ 1.18)

= 1 - 0.881 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

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3 years ago

Find the equation for (0,4)and (7,-10 )

sweet [91]

Answer:

y = -2x + 4

Step-by-step explanation:

First find slope:

$\frac{y_2-y_1}{x_2-x_1}=\frac{-10-4}{7-0}= \frac{-14}{7}=-2$ $\frac{y_2-y_1}{x_2-x_1}=\frac{-10-4}{7-0}= \frac{-14}{7}=-2$

We know equation of a line is y = mx + b, where m = slope and b = y-intercept, so we can plug in the slope:

y = -2x + b

The y-intercept of the equation is 4 because the coordinate (0, 4) is given. Therefore, the equation is:

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2 and 1/4 is the answer

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4 years ago

You are thinking about the things that can go wrong on your trip home over the Thanksgiving break. You have booked a flight with

shtirl [24]

Answer:

The probability that the person reaches home for the holidays is 0.94.

Step-by-step explanation:

A person wants to go home for Thanksgiving and he has booked a flight with US-Scareways.

It is provided that in 30 percent of the cases the company has canceled the flight you were on.

SO there is 70% chance of reaching home without any difficulties.

In case the flight is cancelled, then as a backup the person's friend Walter offers a ride home.

Walter also has a 80% chance of giving the ride. So there is 20% chance the person will not be able to reach hone if his flight gets cancelled.

Consider the tree diagram below.

The events are:

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P (Reaching Home) = P (H|FC) × P (FC) + P (FT)

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Thus, the probability that the person reaches home for the holidays is 0.94.

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