You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.

Complete question :

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.

Construct a confidence interval for the mean jump height of gray kangaroos.

Answer:

(271, 301)

Step-by-step explanation:

Given that:

Mean (x¯) = 286

Margin of Error = 15 inches

The confidence interval :

(Mean - Margin of Error), (mean + margin of error)

(286 - 15), (286 + 15)

(271, 301)

Hence confidence interval equals : (271, 301)

Answer:

longer: 23inches  shorter: 16incher

Step-by-step explanation:

Answer:

what is the question and where is it?

Step-by-step explanation:

try nio po i-download ung Hiper scientific calculator

sana masagutan nio po

sana makatulong din po ung app na yan

Graph A.

Graph A has a line passing through (0,4).

.............................................................................

Answer:

7. 64

8. -100000

9. 729

Step-by-step explanation:

Answer:

Yes, the number is in scientific notation. Answer should be D.

Step-by-step explanation:

Answer:

yes thats correct.

For it to be in scientific notation the first part is a number between 1 and 10, and the second part is a power of ten

Answer:

Mrs. Reed bought 4 boxes of paper clips and 6 bags of M&Ms.

Explanation:

4 x 4 = 16

3 x 6 = 18

16 + 18 = 34

Answer:

Step-by-step explanation:

Answer:

(2, 7)

Step-by-step explanation:

hope this helps :)

( 1 ) Find by using a formula of (-b/2a, (4ac-b²)/4a)

[tex](\frac{-b}{2a},\frac{4ac-b^2}{4a})\\(\frac{-12}{2(-3)}),(\frac{4(-3)(-5)-(12)^2}{4(-3)})\\(\frac{-12}{-6}),(\frac{60-144}{-12})\\(2,\frac{-84}{-12})\\(2,7)[/tex]

The vertex is at (2,7)

( 2 ) Find by using a derivative (Calculus)

You can also find a vertex by using a calculus. Using a derivative

[tex]y'=-3x^2+12x-5\\y'=-6x+12\\\\[/tex]

Then substitute y' = 0 to get a vertex.

[tex]y'=-6x+12\\0=-6x+12\\-12=-6x\\2=x[/tex]

Then substitute x = 2 in the equation of y = -3x²+12x-5

[tex]y=-3x^2+12x-5\\y=-3(2)^2+12(2)-5\\y=-3(4)+24-5\\y=-12+24-5\\y=-17+24\\y=7[/tex]

x = 2 and y = 7, therefore. The vertex is (2,7)

Answer:

yes

Step-by-step explanation:

hope it helps

it will be written as 5.1×10^9

Answer:

yes

Step-by-step explanation:

A number in scientific notation consists of the product of a number from 1 to under 10 and an integer power of 10.

5.1 is a number from 1 to under 10.

10^9 is an integer power of 10.

Therefore, 5.1 * 10^9 is a number written in scientific notation.

Answer:

Your answer is 6.

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

Answer:

6

Step-by-step explanation:

when you substitute 3 in for x you get 3(3) - 3

solve the equation

3(3) = 9

9 - 3 = 6

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

i searched it up on google cause i'm dumb

Answer:

-6

Step-by-step explanation:

because the roots are the x values of where the function crosses the x axis

so thats at -2 and 3

and product is multiplication

so -2×3= -6

Answer:

The roots/zeroes are where the x-values where the graph touches or passes through the x-axis..They are at -1 and 3. So your answer would be a) -1

Step-by-step explanation:

Answer:

Hope that this helps!!!

Answer: 57% for the first and 41% for the second

Step-by-step explanation:

Treatment 1 consists of 40 people and 23 had improved health take 23 and divide it by 40 and you get 0.575 multiply that by 100 and you get 57% do the same for the second question and you get 0.416 multiply by 100 and you get 41%

Answer:

[tex]f^{-1}(x) = x/2 +2[/tex]

Step-by-step explanation:

let [tex]f^{-1} (x)[/tex] = y

then f(y) = x

2y-4 =x

2y =x+4

y= x/2 +2

hence f^{-1} (x) = x/2 +2

Answer:

The answer is 32.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

a. 25% off of $60 is equal to $45.

b. 15% off of $60, then subtracting 10% from that cost is equal to $45.

c. The two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).

Step-by-step explanation:

These can be determined as follows:

a. Calculation of the first total cost, i.e. 25% off of $60

25% of 60 = 25% * $60 = 15

First total cost = 25% off of $60 = $60 - (25% of $60) = $60 - $15 = $45

Therefore, 25% off of $60 is equal to $45.

b. Calculation of the second total cost, i.e. 15% off of $60, then subtracting 10% from that cost

15% of $60 = $9

10% of $60 = $6

Cost = 15% off of $60 = $60 - (15% of $60) = $60 - $9 = $51

Second total cost = Cost - (10% of $60) = $51 - $6 = $45

Therefore, 15% off of $60, then subtracting 10% from that cost is equal to $45.

c. The two total costs

The two total costs are 25% off of $60 which is equal to $45 and 15% off of $60, then subtracting 10% from that cost which is also equal to $45. The addition of the two costs is $90 (i.e. $45 + $45 = $90).

Therefore, the two total costs are $45 and $45, and their addition is equal to $90 (i.e. $45 + $45 = $90).

Answer:

the anser is 64 cups

Step-by-step explanation:

half gallon is 8 cups and she bought 8 of them so multiply 8 and 8 or 8^2 and you get 64

pls mark brainliest

Answer:

A. 64 cups

Step-by-step explanation:

There are 16 cups per gallon, so a half gallon would be 8 cups. If she bought 8 bottles that means you must take the 8 bottles times the 8 cups per bottle or just 8*8=64. Answer A. is 64 cups.

If this helped you, which I hope it did, please click the thanks button below.

Thank you! :-D

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

[tex](x_1,y_1) = (-2, 7)[/tex]

[tex](x_2,y_2) = (3, 0)[/tex]

Line 2:

[tex](x_1,y_1) = (2, 1)[/tex]

[tex](x_2,y_2) =(12, -13)[/tex]

Required

Is Simone correct?

Slope (m) is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Line 1

[tex]m = \frac{0 - 7}{3 - (-2)}[/tex]

[tex]m = \frac{0 - 7}{3 +2}[/tex]

[tex]m = \frac{-7}{5}[/tex]

[tex]m = -\frac{7}{5}[/tex]

For Line 2:

[tex]m = \frac{-13 - 1}{12 -2}[/tex]

[tex]m = \frac{-14}{10}[/tex]

Divide by 2/2

[tex]m = \frac{-14/2}{10/2}[/tex]

[tex]m = \frac{-7}{5}[/tex]

[tex]m = -\frac{7}{5}[/tex]

By comparison, both lines have the same slope.

Hence, Simone is correct

Answer:

6

Step-by-step explanation:

Straight line is 180

square = right angle=90

180-90=90

5x+(x+54)=90

6x+54=90

6x=36

x=6

Hope this helps :D

Answer:

-3i + (6 x 9)

Step-by-step explanation:

The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.

A polynomial expression is an algebraic expression with variables and coefficients.

The zeroes of the polynomial will be 1 + i, 1 – i, and 3.

Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).

Then the polynomial will be

(x – 1 – i)(x – 1 + i)(x – 3)

[(x – 1)² – i²](x – 3)

(x² – 2x + 2)(x – 3)

x³ – 2x² – 3x² + 2x + 6x – 6

x³ – 5x² + 8x – 6

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

Answer:

sol;

=(3^2)^2×(10)^6

=(3)^4×(10)^6

=81×10^6

=8.1×10^7

=81,000,000

Answer:

This equation is already complete to its maximum stage.

Step-by-step explanation:

If you want other possibilities of this equation here:

y - 2 = 4x

4x = y - 2

x = [tex]\frac{y - 2}{4}[/tex]

Hope this helps!

Have a nice day!

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Answer: Not enough info

Step-by-step explanation:

(1/2)/12=1/24.  So A is correct. There is no difference between A and B... F is also correct....we multiply 12 by 2 to get 1 cup per 24 muffins.

Answer:

C

Step-by-step explanation:

Lines that are parallel AND have different y-intercepts will never intersect each other, therefore will have no solutions.

The only correct choice is C as the lines are parallel and have different y-intercepts which means they'll never intersect each other. All the other choices will have their lines intersect each other at some point.

Answer:

[tex]12\sqrt{8} ^{x}[/tex]

Step-by-step explanation:

Answer:

28.8

Step-by-step explanation:

Answer:28.8

Step-by-step explanation: