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stealth61 [152]
3 years ago
15

Y+3x=8;x=1,0,3 what is answer

Mathematics
1 answer:
Lana71 [14]3 years ago
6 0
The X=1 is Y= 5
The x=0 is Y= 8
The x=3 is Y= -1
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The speeds of cars on a given i street we are normally distributed with a mean of 72 miles per hour and a standard deviation of
Ostrovityanka [42]

Answer: 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

Step-by-step explanation:

Let X be a random variable that represents the speed of the drivers.

Given: population mean : M = 72 miles ,

Standard deviation: s= 3.2 miles

The probability that the drivers are traveling between 70 and 80 miles per hour based on this distribution:

P(70\leq X\leq 80)=P(\frac{70-72}{3.2}\leq \frac{X-M}{s}\leq\frac{80-72}{3.2})\\\\= P(-0.625\leq Z\leq 2.5)\ \ \ \ \ [Z=\frac{X-M}{s}]\\\\=P(Z\leq2.5)-P(Z\leq -0.625)\\\\\\ =0.9938-0.2660\ \ \ [\text{Using p-value calculator}]\\\\=0.7278

Hence, 72.78% of the drivers are traveling between 70 and 80 miles per hour based on this distribution.

3 0
3 years ago
Reduce this algebraic fraction. y^3 -3y^2+y-3 / y^2-9
blondinia [14]

Answer:

y³ - 3y² + 1/y+3

Step-by-step explanation:

y² - 9 = (y - 3) ( y + 3)

y-3/(y-3)(y+3) = 1/y+3

6 0
3 years ago
Read 2 more answers
Justin Verlander of the Astros threw a pitch 100 miles per hour. How many seconds did it take to get to home plate. The plate is
castortr0y [4]

It will take 0.4 seconds to get to the home plate.

Given:

The speed of the pitch thrown by Justin is 100 miles per hour

The distance of home plate from the pitching rubber is 60.5 feet

To find:

The time taken by a pitch to reach the home plate

Solution:

The distance home plate from the pitching rubber = d = 60.5 feet

1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles

The speed of pitch thrown by Justin = s = 100 miles/hr

The time taken by a pitch to reach the home plate = t =?

The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s

It will take 0.4 seconds to get to the home plate.

Learn more about conversions here:

brainly.com/question/24530464

brainly.com/question/17743460

5 0
3 years ago
Jenny bought gas for her car gas cost 3.45 pee gallon jenny bought 12.2 gallons what was the total cost for jennys gas
Semenov [28]

Answer:

$42.09

Step-by-step explanation:

1. multiply the cost per gallon (3.45) by the gallons purchased (12.2)

    3.45*12.2 = 42.09

6 0
3 years ago
A certain club has 20 members. What is the ratio of the number of 5-member committees that can be formed from the members of the
MissTica

Answer:

C

Step-by-step explanation:

This is a combination question.

In the first instance, we select 5 from 20 and in the second case , we select 4 from 20.

The total number of ways to solve the first instance is 20C5 = 15504 ways

The total number of ways to solve the second instance is 20C4 = 4,845

The ratio of the first to the second scenario is 15,504/4,845 = 3.2 = 16 to 5

8 0
3 years ago
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