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2 years ago

You start at (-1, 2). You move right 5 units and down 6 units. Where do you end?

Mathematics

1 answer:

Irina-Kira [14]2 years ago

5 0

Answer:

(4,-4)

Step-by-step explanation:

Just plot it or like I did it like this

Since moving right or left is X axis, just add 5 to -1 becuase its ont he X axis

Then for the bottom and up, thats Y so subtract that to the Y axis so 2-6=-4

4,-4

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Find the smallest number. 8.9, 9.21, 9.73, 8.2

OleMash [197]

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

5 0

1 year ago

A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

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

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0

1 year ago

Write each product in standard form. (y+ 9)(y+ 9)

Alla [95]

Answer:

y² + 18y + 81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(y + 9)(y + 9)

Step 2: Expand

FOIL: y² + 9y + 9y + 81
Combine like terms: y² + 18y + 81

3 0

2 years ago

Are the expressions you developed in Part A and Part C the same? Why or why not?

pshichka [43]

Answer:

It is the same answer, Because b is the same as a but in fraction form, and c is the same as b but in improper fraction form, so that means they are the same answer

Step-by-step explanation:

3 0

2 years ago

6x2y − 3xy − 24xy2 + 12y2

GalinKa [24]

Answer:

$=-39xy+24y$

Step-by-step explanation:

$\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12$

$=12xy-3xy-24\cdot \:2xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:24\cdot \:2=48\\=12xy-3xy-48xy+12\cdot \:2y\\\mathrm{Multiply\:the\:numbers:}\:12\cdot \:2=24\\=12xy-3xy-48xy+24y\\\mathrm{Add\:similar\:elements:}\:12xy-3xy-48xy=-39xy\\=-39xy+24y$

3 0

2 years ago

Read 2 more answers