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emmainna [20.7K]
3 years ago
10

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

If she triples it then it'll be 6: 15

Hope that helps!

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Help please!!!! 8. 9. And 10.
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Answer:

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Step-by-step explanation:

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5 0
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 <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> 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
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