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Ivanshal [37]
3 years ago
7

Please help what is the equation

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

let us take any two points here (5,20) and (7,30)

now let us use slope formula to get its slope

slope=\frac{y2-y1}{x2-x1}

slope=\frac{30-20}{7-5}

slope =5

now let us use one coordinate (say (5,20)) and slope to get the y intercept

20= 5*5 +b

b=-5

plugging the values of b and m in the given equation we get

y=5x-5

or c=5m-5

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A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit
inessss [21]

Answer:

The  95% confidence interval is  295.9 < \mu< 324.1

A   95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  25

    The mean is  \= x  =  310 \ mg

     The standard deviation is  \sigma =  36 \ mg

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha  =  100 - 95

=>        \alpha  =  5\%

=>        \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the value is  

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }  =  1.96

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

        E =  1.96 *  \frac{36 }{\sqrt{25} }

        E = 14.1

The 95% level of confidence interval  is mathematically represented as

      \= x - E < \mu

substituting values

     310- 14.1 < \mu< 310+ 14.1

     295.9 < \mu< 324.1

The  95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

6 0
3 years ago
Tommy charges $20 to mow a lawn. He will also trim bushes for an additional cost of $2 per bush. His goal is to earn at least $3
Darya [45]

Answer:

x ≥ 5

Step-by-step explanation:

$30 - (1 * $20)

$10 = x($2)

He needs to trim at least 5 bushes to make the extra $10 to reach $30.

7 0
3 years ago
Find the value of y.<br><br> A. 25.5<br> B. 18<br> C. 75<br> D. 36
Paladinen [302]

Answer: 18

Step-by-step explanation: Angles opposite of each other in a trapezoid equal 180 minus each other so 180 - 105 = 75 so 75 = 4y + 3

Subtract 3 from both sides

72 = 4y

Divide by 4

y = 18

8 0
3 years ago
An auto weighing 2,500 pounds is on a street inclined at 10 with the horizontal. Find the force necessary to prevent the car fro
Misha Larkins [42]

Answer:

1931.7N

Step-by-step explanation:

We are told in the question that :

An auto ( a car) weighs = 2500 pounds

It s inclined at n horizontal Ange of 10°

We are asked to find the force that would prevents it from rolling down the street.

Since the unit for Force = Newton or kgm/s²

Step 1

Convert Weight in pounds to kg

1 pound = 0.453592kg

2500 pounds =

2500 pounds × 0.453592kg

= 1133.981kg

Step 2

Find the force that would prevents it from rolling down the street.

Force = Mass × Acceleration due to gravity × sin θ

Acceleration due to gravity = 9.81m/s

Force = 1133.981kg × 9.81 × sin 10°

Force = 1931.7237321 N

Approximately = 1931.7N

4 0
3 years ago
Find the value of x in the following figure
loris [4]
I think it’s 90 just add them up the subtract 180




4 0
2 years ago
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