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kogti [31]
3 years ago
15

Write an equation that represents the line. Use exact numbers.

Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0

Slope = 4-(-3)/-2-(-7) = 7/5

y-intercept = ?

y=mx+b

4=7/5(-2)+b

b=6.8

answer: y=1.4x+6.8

uysha [10]3 years ago
4 0

Answer:

Step-by-step explanation:

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a survey of 504 citizens found that 378 of them favor a new bill introduced by the city. We want to find a 95% confidence interv
Viefleur [7K]

The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

<h3>What is a confidence interval?</h3>

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

We have:

A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Sample proportion = p = 378/504 = 0.75

q = 1 - p = 1 - 0.75 = 0.25

\rm SD = \sqrt{\dfrac{pq}{n}}

\rm SD = \sqrt{\dfrac{0.75\times0.25}{504}}

SD = 0.01928

For 95% confidence interval Z value = 1.96

Lower limit = 0.75 - 1.96(0.01928)

= 0.712

Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.

Learn more about the confidence interval here:

brainly.com/question/6654139

#SPJ1

3 0
2 years ago
Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0
3 years ago
What does it mean by mean number
Alona [7]
Mean number simply means average.
3 0
3 years ago
Read 2 more answers
What is the order of 7/8, 0.98, 8/9 from least to greatest?
katrin [286]
The order is 7/8, 8/9, o.98
4 0
3 years ago
Read 2 more answers
What is 7.69/43.685=?<br> including long division <br> I'll give brainliest.
Minchanka [31]

Question

what is 7.69/43.685=?

Answer:

The Correct Answer is 5.6 :)

Step-by-step explanation:

Change the divisor 7.69 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

4368.5 ÷ 769 = 5.6

and therefore:

43.685 ÷ 7.69 = 5.6

Both calculated to 1 decimal places.

8 0
2 years ago
Read 2 more answers
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