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3 years ago

What is the value of the expression with a = -1.4 and b = -2.7?

Mathematics

1 answer:

V125BC [204]3 years ago

5 0

Answer:

C) -1.3

Step-by-step explanation:

|a| + b

Substitute a = -1.4 b = -2.7

|-1.4| + -2.7

Absolute values are positive

1.4 -2.7

-1.3

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Natalie is making punch the recipe calls for 2 cups of water for every 5 scoops of powder mix. What will be the ratio be if she

AleksandrR [38]

Answer:

If she doubles it then it will be 4: 10

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3 years ago

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Step-by-step explanation:

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3 years ago

1. Write an equation in point-slope form for the line through the given point with the given slope.

ElenaW [278]

Answer: y + 2 = $\frac{-1}{2}$ ( x - 4 )

Step-by-step explanation:

The equation of a line in point - slope form is given as ;

y - $y_{1}$ = m (x - $x_{1}$ )

$x_{1}$ = 4

$y_{1}$ = -2

m = $\frac{-1}{2}$

Substitute the values into the equation , we have

y - (-2) = $\frac{-1}{2}$ ( x - 4 )

y + 2 = $\frac{-1}{2}$ ( x - 4 )

Which could be written as :

y + 2 = y + 2 = $\frac{-1}{2}$ x + 2

8 0

3 years ago

Assume that a sample is used to estimate a population proportion p. find the margin of error e that corresponds to the given sta

Leno4ka [110]

Let p be the proportion. Let c be the given confidence level , n be the sample size.

Given: p=0.3, n=1180, c=0.99

The formula to find the Margin of error is

ME = $z _{\alpha/2} \sqrt{\frac{p*(1-p)}{n}}$

Where z (α/2) is critical value of z.

P(Z < z) = α/2

where α/2 = (1- 0.99) /2 = 0.005

P(Z < z) = 0.005

So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.

The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58

(-2.57) + (-2.58) = -5.15

-5.15/2 = -2.575

For computing margin of error consider positive z score value which is 2.575

The margin of error will be

ME = $z _{\alpha/2} \sqrt{\frac{p*(1-p)}{n}}$

= $2.575 \sqrt{\frac{0.30*(1-0.3)}{1180}}$

= 2.575 * 0.0133

ME = 0.0342

The margin of error is 0.0342

7 0

3 years ago

What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?

Leno4ka [110]

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

$\large \boxed{m_1 = m_2}$

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

y = a —> horizontal line; slope is 0.
x = a —> vertical line; slope is undefined.
For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer

The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.

I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!

4 0

3 years ago