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3 years ago

10

How many different three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 wit

hout repetition? For example, 664 is not allowed.

1 answer:

lozanna [386]3 years ago

3 0

Answer:

129 468

Step-by-step explanation:

I'm not sure if you're supposed to reuse the same numbers just in a different Three digit number. Or if you're supposed to use the number one time and one time only. But if not here's there's some numbers that you could use

He basically all You have to do Is take the numbers and turning them into three digit numbers Without repetition.

Hope this helps you!

Also it's saying that 664 is not allowed Because it they are reusing the six When there's no Extra six to use. So remind you not to use the same number twice!

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What's the expression for subtract 20 divided into fourths from 55 divided into fifths

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The expression is 55/5 - 20/4
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3 years ago

A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to rep

Ad libitum [116K]

Answer:

a = 249 and b = 1.16

Step-by-step explanation:

Consider the provided information.

The exponential function for growth is: $y=a(1+ r)^x$

Here, a is the initial value and r is the rate of change.

It is given that the number of birds is 249.

It means a = 249

The rate is given 16%

r=0.16

Put the value of a and r in the above formula.

$y=249(1+0.16)^x$

$y=249(1.16)^x$

Now we will compare it with the exponential function form $y=ab^x$

Therefore, a = 249 and b = 1.16

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3 years ago

What is the slope of this line? (-4.5) (0.6) (8.8) Enter your answer in the box.

Luden [163]

Answer:

m= 1/4

Step-by-step explanation:

1) Take two points. Let's use the first and second. Subtract one y coordinate from the other. 6 - 5 = 1

2) Do the same process with the x coordinates. 0 - -4 = 4 (0 + 4)

3) Make the answer from the y coordinates the numerator and the answer from the x coordinates the denominator, and you have your final answer: 1/4

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3 years ago

in order to use a chi-square test for goodness of fit the data must satisfy a multinomial setting. one condition for a multinomi

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The multinomial setting goodness of fit test allows to check whether the distribution of a sample corresponding to a qualitative variable (or discrete quantitative variable) is consistent with the expected results.

The Chi-square goodness of fit test is a statistical hypothesis test used to determine whether a variable is likely to come from a specified distribution or not. It is often used to check whether the sample data is representative of the full population or is it biased.

The degrees of freedom for the chi-square goodness of fit is calculated by using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns. The following conditions are the conditions required: The sampling method should be simple random sampling. The variable being observed is categorical. The expected value of the number of sample observations for each variable is at least 5.

Therefore, The multinomial setting goodness of fit test allows to check whether the distribution of a sample corresponding to a qualitative variable (or discrete quantitative variable) is consistent with the expected results.

To learn more about goodness of fit refer here

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1 year ago

A rectangle has a length 6 more than it's width if the width is decreased by 2 and the length decreased by 4 the resulting has a

Rashid [163]

Answer:

Length of original rectangle: 11 units.

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

$\text{Perimeter of new rectangle}=20$

Step-by-step explanation:

Let x represent width of the original rectangle.

We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be $x+6$ .

We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.

The width of new rectangle would be $x-2$ .

The length of new rectangle would be $x+6-4=x+2$ .

The area of new rectangle would be $(x+2)(x-2)$ .

Now we will equate area of new rectangle with 21 and solve for x as:

$(x+2)(x-2)=21$

Applying difference of squares, we will get:

$x^2-2^2=21$

$x^2-4=21$

$x^2-4+4=21+4$

$x^2=25$

Since width cannot be negative, so we will take positive square root of both sides.

$\sqrt{x^2}=\sqrt{25}$

$x=5$

Therefore, the width of original rectangle is 5 units.

Length of the original rectangle would be $x+6\Rightarrow x+5=11$ .

Therefore, the length of original rectangle is 11 units.

$\text{Area of original rectangle}=5\times 11$

$\text{Area of original rectangle}=55$

Therefore, area of the original rectangle is 55 square units.

Now we will find ratio of the original rectangle area to the new rectangle area as:

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

We know that perimeter of rectangle is two times the sum of length and width.

$\text{Perimeter of new rectangle}=2((x+2)+(x-2))$

$\text{Perimeter of new rectangle}=2((5+2)+(5-2))$

$\text{Perimeter of new rectangle}=2(7+3)$

$\text{Perimeter of new rectangle}=2(10)$

$\text{Perimeter of new rectangle}=20$

Therefore, the perimeter of the new rectangle is 20 units.

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3 years ago