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2 years ago

Find the equation of the horizontal line at a height of -3.9.

Mathematics

1 answer:

Sholpan [36]2 years ago

3 0

The equation of the line will be y = -3.9, and the height after rounding off will be -4.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The horizontal line can be defined as:

y = a

Where a is the constant.

Here a = -3.9

y = -3.9

The height = -3.9 ≈ -4

Thus, the equation of the line will be y = -3.9, and the height after rounding off will be -4.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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Identify the percent of change as an increase or a decrease. 4/5 to 3/5

vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0

3 years ago

PLEASE HELP ME IM NOT GOOD AT MATH

zhannawk [14.2K]

Answer:

Step-by-step explanation:

There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.

8 0

2 years ago

Simplify

Diano4ka-milaya [45]

Answer:

$\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}$

Step-by-step explanation:

$16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}$

$=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}$

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3 years ago

A mechanical engineer wishes to compare strength properties of steel beams with similar beams made with a particular alloy. The

Annette [7]

Answer:

Step-by-step explanation:

Level of significance, a = 0.01

Type II error probability, b =0.05

From the z-table:

the critical value at 1% level of significance, Zα = Z0.01 = 2.33

the critical value at 5% probability, Zβ = Z0.05 = 1.645

The critical value of z can be obtained from the standard normal table using the desired level of significance and the tail of test.

The critical value tells the number of standards deviations away is the result from the mean.

Probability of type I error denoted by a

Probability of type II error denoted by b.

Type I error is to falsely infer the existence of something that is not there, while a type II error is to falsely infer the absence of something that is.

From the given information,

a=0.01, b=0.05, o1 = o2 =0.05, Dο = 0, D' = 0.04

The sample size is calculated as,

n = $( o^2 + o2^2) * (Za +Zb)^2 /( (D' - D0)^2)$