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a_sh-v [17]
3 years ago
6

Write the equation of the line in slope-intercept form with a slope of -5 and a y-intercept of -1.

Mathematics
2 answers:
lara31 [8.8K]3 years ago
7 0
First, we need to know what is the general equation of the slope-intercept form. It is expressed as follows:

y = mx + b

where m is the slope and b is the y-intercept. Therefore, having a  <span>slope of -5 and a y-intercept of -1, the equation of the line should be:

y = -5x - 1</span>
Ghella [55]3 years ago
6 0
Slope intercept form : y = mx + b

the slope is represented by m....so m = -5
the y intercept is represented by b....so b = -1

now we sub
y = mx + b
y = -5x + (-1) or y = -5x - 1 <===
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Step-by-step explanation:

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3 years ago
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An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
BartSMP [9]

Answer:

The decision rule is  

Reject the null hypothesis  

Step-by-step explanation:

From the question we are told that

    The population mean is \mu =  5.6  \ pounds/inch^2

     The  sample size is  n =  160

      The sample mean is  \=  x =  5.7  \  pounds/ inch^2

     The variance is \sigma ^2 =  0.25

       The level of significance is  \alpha   =  0.01

The null hypothesis is  H_o  :  \mu  =  5.6

The alternative hypothesis is H_a :  \mu > 5.6

Generally the standard deviation is mathematically represented as

           \sigma =  \sqrt{\sigma ^2 }

=>         \sigma =  \sqrt{0.25  }  

=>         \sigma =  0.5  

Generally the test statistics is mathematically represented as

        z =  \frac{\= x  - \mu }{ \frac{\sigma}{\sqrt{n}  } }

=>     z =  \frac{5.7  - 5.6  }{ \frac{0.5 }{\sqrt{ 160 }  } }  

=>     z =  2.53

From the z table  the area under the normal curve to the left corresponding to  2.53   is

        p-value =  P(Z >  2.53 ) =0.0057

From the value obtained we see that the p-value  < \alpha hence

The decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the believe  that the valve performs above the specifications is true

 

5 0
3 years ago
It is 1.9 miles from a house to a restaurant and 1.2
stiks02 [169]

9514 1404 393

Answer:

  2.2 miles

Step-by-step explanation:

The Law of Cosines can be used to figure this.

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  c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348

  c ≈ √4.811348 ≈ 2.193

It is about 2.2 miles across the water from the pier to the restaurant.

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2 years ago
Write a posite or negative number :depositing $85 in a bank account
DedPeter [7]
I do not understand but if you deposit 85 dollars in a bank account it will most likely be positive unless you owe the bank money.


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A salesperson gets a 3% commission on the sale of a copy machine. What is his commission on a copy machine that costs $4,950.00?
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