George is trying to make sure his garden is in the form of a right triangle. Which of the following side lengths would create a right triangle with side lengths of 12 m and
15 m?
O 20 m
18 m
O 9 m
7 m

Answer:

i. Predicted chi-square value(x^2)?______ 22.35

ii.  df_______ 6-1= 5

iii. Using the critical values table, determine the predicted P value

The P-Value is .050985 for 5 df and 0.05 significance level. The result is not significant at p < .01.

The P-Value is .010362 for 5 df and 0.01 significance level. The result is not significant at p < .01.

Step-by-step explanation:

Phenotype     Predicted ( o)       Expected (e)           (o-e)          (o-e)²/e

                       (observed)

A- normal         19                 3/4 * (1/4)= 3/16  25.5      -6.5           1.66

O  normal         5                  1/4 * (1/4)= 1/16     8.5        -3.5            1.44

A trait               70                 3/4 * (1/2)= 3/8     51          19               7.07

O  trait               25                1/4 * (1/2)= 1/8      17            8              3.67

A  Disease        13               3/4 * (1/4)= 3/16    25.5      -12.5           6.13

O  Disease       4                 1/4 * (1/4)= 1/16        8.5     -4.5             2.38

                       136                                              136                         22.35

i. What is your predicted chi-square value(x^2)?______ 22.35

ii. Calculate df_______ 6-1= 5

iii. Using the critical values table, determine the predicted P value

The critical region for alpha =0.05 is χ² ≥ χ² (0.05,5) = 11.02

The P-Value is .050985. The result is not significant at p < .01.

The critical region for alpha =0.01 is χ² ≥ χ² (0.01,5) = 15.00

The P-Value is .010362. The result is not significant at p < .01.

The calculated value of chi square is  22.35  which is greater than  15.00  and 11.02 , the critical regions at alpha 0.05 and 0.01

Therefore it falls in the critical region and the result is insignificant.

Answer:

Answer is (4+3i)+(5-6i)=(9-3i)

Step-by-step explanation:

I hope it's helpful!

==============================================

Work Shown:

(4+3i) + (5-6i)

4+3i + 5-6i

(4+5) + (3i-6i)

9 + (3-6)i

9 + (-3)i

9 - 3i

As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.

Answer:

3.85

Step-by-step explanation:

46.20/12

12 goes into 46.20

3.85

Answer:

10m/7

Step-by-step explanation:

quotient means division so 10 times m is 10m

and then we will divide 10m and 7

10m/7

please mark as brainliest

Answer:  The correct answer is A

Step-by-step explanation:

If your multiplying fractions you take the first fraction 1/4 and the number 5, but you turn that into a fraction so now it's 5/1, and you multiply them together to get 5/4

1/4 x 5/1 = 5/4

✩brainliest appreciated ✩

Answer:

Michael has 3 times more oranges than apples.

Step-by-step explanation:

Given that:

Number of apples = 06

Number of oranges = 18

Let,

x be the number of times.

Number of oranges = Number of times * Number of apples

18 = x * 6

18 = 6x

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

Hence,

Michael has 3 times more oranges than apples.

Answer:

170/30= 5.6

Step-by-step explanation:

There should also be a line like - over the 6

Answer:

[tex]\frac{dy}{dx} = 24 x + 21[/tex]

Step-by-step explanation:

Explanation:-

Given that the function

      y = f(x) = 3 x ( 4 x + 7)

     y  = 3 x ( 4 x + 7)  

    y = 12 x² + 21 x ..(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]

[tex]\frac{dy}{dx} = 24 x + 21[/tex]

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

Answer:

x=3

y=0

i hope this helps:)

Step-by-step explanation:

answer:

26.563 miles.

step-by-step explanation:

5.123 + 6.34 + 7.1 + 8 = 26.563

-- please mark the brainliest and click the thanks button if correct :)

Answer:

E. HL

Step-by-step explanation:

In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.

Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.

Answer:

16

Step-by-step explanation:

20% = 0.2

80 x 0.2 = 16

Please mark me Brainliest :)

Answer:

16 is 20 percent out of 80

Step-by-step explanation:

Hi there :)

So since they initially drank 50 gallons, half of that is 25 gallons. 50+25= 75, therefore they drank 75 gallons.

Jada has 12 library books and 1/3 of that is 4, because 12 divided by 3 is 4, so 12-4=8. That means Han checked out only 8 books.

Good luck with the rest of your assignment, have a good day/night!!

Answer:

Diameter= 16 cm circumference is 50.24

Step-by-step explanation:

The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.

Since the radius is 8 cm

So here the diameter be

= 2(radius)

= 2 (8)

= 16 cm

Now the circumference of the circle is

[tex]= 2\pi r\\\\= 2 \times 3.14 \times 8[/tex]

= 50.24

hence, The diameter and the circumference of the circle should be 16 cm and 50.24 respectively.

Learn more about circle here: https://brainly.com/question/18104630

Answer:

28.29

Step-by-step explanation:

A=πr2

=3.14(3^2) (btw the ^2 is exponent)

=3.14(9)

=28.29

Answer:

$9,709.17

Step-by-step explanation:

Answer: 26

Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in

(4x+24)+ (3x-4)=90, then combine like with like.

7x+20=90

7x=70

x=10

Then let plug it in for angle B

(3(10)-4= 26

Answer:

x = 10°

∠B = 26°

Step-by-step explanation:

complementary means they add up to 90 degrees.

4x + 24 + 3x - 4 = 90°

combine like terms:

7x + 20 = 90°

7x = 70°

x = 10°

Answer:  90 words per minute

====================================================

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

Answer:

x2

Step-by-step explanation:

x2 82

Answer: 32

Step-by-step explanation: since y=5, 4y= 20. 12+20=32

Answer:

4

simplied=2

Step-by-step explanation:

10²=8²+x²

10²=8²-x²

20=16-x²

x²=4

Simplied=2

There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.

Given,

Total number of outcomes =1000

Favorable outcomes =5

Simplify, 5 ÷ 1000

Then we get,

∴ Required probability  = 0.005.

The complete question is:

1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

=  6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L

Answer:

21

Step-by-step explanation:

The units Lily walked are 21 units.

Distance is defined to be the magnitude or size of displacement between two positions.

Given that, Lily used a coordinate plane to graph the path she walked from her house to the library. She started at her house at point A(–6, –3), walked to a store at point B(5, –3), and then walked to the library at point C(5, 7).

We know that, the distance between the two points is given by =

D = [tex]\sqrt{(x_{2}-x_{1} )^2 +(y_{2} -y_{1})^2 }[/tex]

The given points are A (–6, –3), B (5, –3) and C (5, 7).

The distance between her house and the store (AB) =

[tex]\sqrt{(5+6)^2 +(-3+3)^2} \\= \sqrt{121} \\= 11[/tex]

Therefore, The distance between her house and the store (AB) = 11 units

Similarly,

The distance between the store and the library (BC) =

[tex]\sqrt{(5-5)^2+(7+3)^2} \\= \sqrt{100} \\= 10[/tex]

Therefore, The distance between the store and the library (BC) = 10 units

Therefore, the total distance = 10+11 = 21 units

Hence, She walked a total 21 units from point A to C.

For more references on distance, click;

https://brainly.com/question/15172156

#SPJ2

Answer:

The difference of seven and three divided by two

Step-by-step explanation:

You do the operations in the parentheses first, according to PEMDAS.

Step-by-step explanation:

lolekieieieieieooe EP of everything e

The multiplication of the given numbers is obtained as 0.43.

A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.

The given numbers are 1.34 and 0.32 respectively.

The multiplication of these numbers are given as follows,

1.34 × 0.32

= 0.4288

In order to round it to the nearest hundredth, look at the digit at the thousandth place.

Here, it is given as 8 which is greater than 5.

Thus, the required number is 0.43.

Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.

To know more about rounded figures click on,

https://brainly.com/question/28724989

#SPJ2

Answer:

x=6

Step-by-step explanation: