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Leno4ka [110]
3 years ago
12

Divide: (4x10^5)/(5x10^2)

Mathematics
1 answer:
Vladimir [108]3 years ago
8 0

Answer:

<h2>800</h2>

Step-by-step explanation:

\dfrac{4\cdot10^5}{5\cdot10^2}=\dfrac{4}{5}\cdot\dfrac{10^5}{10^2}=0.8\cdot10^{5-2}=0.8\cdot10^3=0.8\cdot1,000=800\\\\\\\text{Used}\ \dfrac{a^m}{a^n}=a^{m-n}

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A research organization keeps track of what citizens think is the most important problem facing the country today. They randomly
Nuetrik [128]

Answer:

Step-by-step explanation:

From the information given, the population is divided into sub groups. Each group would consist of citizens picking a particular choice as the most important problem facing the country. The choices are the different categories. In this case, the null hypothesis would state that the distribution of proportions for all categories is the same in each population. The alternative hypothesis would state that the distributions is different. Therefore, the correct test to use to determine if the distribution of​ "problem facing this country ​today" is different between the two different​ years is

A) Use a​ chi-square test of homogeneity.

8 0
3 years ago
The score on a trivia game is obtained by subtracting the number of incorrect answer from twice the number of correct answer. If
brilliants [131]

Answer:

The player answer correctly 30 questions

Step-by-step explanation:

First we have to develop the information that gives us as 2 equations

x = correct answer

y = incorrect answer

z = score = 40

h = total answer = 50

2x - y = z               x + y = h

2x - y = 40             x + y = 50

we clear the x of one equation and replace the value of x in the other equation

x = 50 - y

2x - y = 40

2(50 - y) - y = 40

100 - 2y - y = 40

-3y = 40 -100

y = -60/-3

y = 20

x = 50 - y

x = 50 - 20

x = 30

3 0
3 years ago
How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?
Valentin [98]
<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

       Function given is f(x)=x^{2}-6x+1. We wish to add more unit tiles to the function so that it becomes a complete square.

       Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression ax+b to be the side of the square.

       As the function forms the square after adding some p unit tiles, f(x)+p=(\text{Side of square})^{2}

x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}

From comparision, a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8

∴ 8 more unit tiles are required to complete the square.

10 0
3 years ago
Read 2 more answers
Plastic storage bins are designed so they can be nested. Four 10-gallon bins stacked together measure 26 inches high, and 9 stac
bixtya [17]
First, you need to know the coordinates of the points:

If x is 9 stacked bins to the y of 41 inches, the first point is (9,41)
From there, you can determine the other point: (4,26)

Find the slope by subtraction using the formula: y2-y1/x2-x1

(41-26)/(9-4)
15/5
slope is 3

y=3x+b

To find b, substitute one point into the equation. I will use (4,26)

26=3(4)+b
26=12+b
-12  -12

b=14

Your final equation is:
y=3x + 14

6 0
3 years ago
YALL THIS IS DUE
slamgirl [31]
Start with the bottom surface area, 7x7=49

then go to the triangles, base times height divided by 2, so (7x14)/2=49
and since there are 4 triangles, multiply 49 by 4 = 196 and add the area of the bottom, which all adds up to 245
8 0
4 years ago
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