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3 years ago

Need help please and thank you

Mathematics

1 answer:

xeze [42]3 years ago

6 0

Answer:

y = -x - 1

Step-by-step explanation:

Slope (m) formula: $\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{y_2-y_1}{x_2-x_1}\\\\\frac{-2-(-3)}{1-2}\\\\\frac{-2+3}{1-2}\\\\\frac{1}{-1}\\\\-1$

y = mx + b

y = -1x + b or y = -x + b

(1, -2)

y = -x + b

-2 = -1 + b

+1 +1

-1 = b

y = -x - 1

Hope this helps!

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According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market during a recent year. A ran

andrey2020 [161]

Answer:

$P(20$

And we can use the z score given by:

$z = \frac{x-\mu}{\sigma}$

And if we find the z score for 20 and 25 we got:

$z = \frac{20-19.375}{4.046}=0.154$

$z = \frac{25-19.375}{4.046}=1.390$

And we have the probability given by:

$P(20$

And we can find this probbaility with this difference:

$P(0.154< Z$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=125, p=0.155)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We need to check the conditions in order to use the normal approximation.

$np=125*0.155=19.375 \geq 10$

$n(1-p)=125*(1-0.155)=105.625 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=125*0.155=19.375$

$\sigma=\sqrt{np(1-p)}=\sqrt{125*0.155(1-0.155)}=4.046$

So then we can approximate the random variable like this:

$X\sim N(\mu = 19.375 , \sigma=4.046)$

And we are interested on this probability:

$P(20$

And we can use the z score given by:

$z = \frac{x-\mu}{\sigma}$

And if we find the z score for 20 and 25 we got:

$z = \frac{20-19.375}{4.046}=0.154$

$z = \frac{25-19.375}{4.046}=1.390$

And we have the probability given by:

$P(20$

And we can find this probbaility with this difference:

$P(0.154< Z$

4 0

3 years ago

This is the floor of isaac's kitchen. Isaac needs to determine the area of the floor so he can order new tile. Enter the area, i

butalik [34]

Answer:

134

Step-by-step explanation:

first, separate the floor into 3 different rectagles to calculate the area and then add them together.

area of rec=L*B

rec 1: 9.5*7=66.5

rec 2: (10.5-4.5)*(14.5-5-7)=15

rec 3:5*10.5=52.5

Then:

66.5+52.5+15=134

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3 years ago

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goblinko [34]

Answer:

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Step-by-step explanation:

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BARSIC [14]

The answer should be a negative.

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4 years ago

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iragen [17]

Answer:

The average speed of Marshall is 29.7 mph

Step-by-step explanation:

Given;

distance traveled to work, d₁ = 27 miles

distance traveled back home, d₂ = 27 miles

initial time taken, t₁ = 1 hour and 20 minutes

final time taken, t₂ = 29 minutes

Total distance traveled, d = d₁ + d₂ = 27 miles + 27 miles = 54 miles

Total time taken for the journey, t = t₁ + t₂ = 1 hour + ( 20 mins + 29 mins)

t = 1 hour + 49 mins = 1 hour + 0.817 hour = 1.817 hour

The average speed is given by;

v = total distance / total time

v = 54 miles / 1.817 hour

v = 29.7 mph

Therefore, the average speed of Marshall is 29.7 mph

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3 years ago