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Studentka2010 [4]
3 years ago
13

What is the slope of the line 2x+12y-192

Mathematics
2 answers:
Oksanka [162]3 years ago
7 0

Answer:

-1/6

Step-by-step explanation:

To get the slope we need the equation in the form y=mx+c, and m is the slope.

2x+12y=192

12y = -2x + 192

y = -2/12 x + 16

-2/12 is the slope but this can be simplified to -1/6

muminat3 years ago
4 0

Answer:

Mperpendicular=6

Step-by-step explanation:

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In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score o
Sindrei [870]

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\

8 0
2 years ago
In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures
erastova [34]

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

The principle is that the sum of the opposite interior angles equal the exterior angle

Let the second interior angle be x

x + 51 = 119

x = 119-51

x = 68

7 0
3 years ago
10^8/10^4 Simplify the expression. Write your answer as a power.
Andru [333]
<h3>Answer:   10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0
3 years ago
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat
dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

7 0
1 year ago
If I had 6 dollar bill to spent and I buy a chip for 2 dollars and an icecream sandwich box for 3 dollars would I have enough mo
NikAS [45]

Answer:

yes

Step-by-step explanation:

6 -2 = 4

4 - 3 = 1

1 - .80 = .20

7 0
3 years ago
Read 2 more answers
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