Eighteen and nine tenths is 2.6 less than a number. find the number.

olga nikolaevna [1]

Try this option:
1. the sides of the biggest triangle are 16; x and √(16²-x²); the sides of the smallest triange are x;5 and y. The smallest triangle ~ the biggest triangle. Using the property of the similar triangles:
$\frac{x}{5} = \frac{16}{x}, \ then \ x= \sqrt{80}$
2. according to the Pyphagorean theorem (in the smallest triangle):
$y= \sqrt{ \sqrt{80^2} -5^2} = \sqrt{55}$

answer: y=√55.

4 0

3 years ago

Imagine an experiment having three conditions and 20 subjects within each condition. The mean and variances of each condition ar

xxTIMURxx [149]

Answer:

1. Mean square B= 5.32

2. Mean square E= 16.067

3. F= 0.33

4. p-value: 0.28

Step-by-step explanation:

Hello!

You have the information of 3 groups of people.

Group 1

n₁= 20

X[bar]₁= 3.2

S₁²= 14.3

Group 2

n₂= 20

X[bar]₂= 4.2

S₂²= 17.2

Group 3

n₃= 20

X[bar]₃= 7.6

S₃²= 16.7

1. To manually calculate the mean square between the groups you have to calculate the sum of square between conditions and divide it by the degrees of freedom.

Df B= k-1 = 3-1= 2

Sum Square B is:

∑ni(Ÿi - Ÿ..)²

Ÿi= sample mean of sample i ∀ i= 1,2,3

Ÿ..= general mean is the mean that results of all the groups together.

General mean:

Ÿ..= (Ÿ₁ + Ÿ₂ + Ÿ₃)/ 3 = (3.2+4.2+7.6)/3 = 5

Sum Square B (Ÿ₁ - Ÿ..)² + (Ÿ₂ - Ÿ..)² + (Ÿ₃ - Ÿ..)²= (3.2 - 5)² + (4.2 - 5)² + (7.6 - 5)²= 10.64

Mean square B= Sum Square B/Df B= 10.64/2= 5.32

2. The mean square error (MSE) is the estimation of the variance error (σ $_{e}^2$ → $S_{e} ^{2}$ ), you have to use the following formula:

Se²=<u> (n₁-1)S₁² + -(n₂-1)S₂² + (n₃-1)S₃²</u>

n₁+n₂+n₃-k

Se²=<u> 19*14.3 + 19*17.2 + 19*16.7 </u>= <u> 915.8 </u> = 16.067

20+20+20-3 57

DfE= N-k = 60-3= 57

3. To calculate the value of the statistic you have to divide the MSB by MSE

$F= \frac{Mean square B}{Mean square E} = \frac{5.32}{16.067} = 0.33$

4. P(F $_{2; 57}$ ≤ F) = P(F $_{2; 57}$ ≤ 0.33) = 0.28

I hope you have a SUPER day!

3 0

3 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Whitepunk [10]

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

<h3>How do the Sides of Similar Triangles Relate?</h3>

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

Learn more about the similar triangles on:

brainly.com/question/2644832

#SPJ1

4 0

2 years ago

A recipe for snack mix call for 4 3/4 cups of cereal the amount of peanuts needed is 1 and 2/3 cups less than the amount of cere

BaLLatris [955]

Answer: 1st question=3 1/12 2nd question=6.4166667

Step-by-step explanation: Please correct me if I’m wrong, if I’m right, thank me.

8 0

4 years ago

Read 2 more answers

Find the surface area of the prism

deff fn [24]

Answer:

161 ft squared

Step-by-step explanation:

8 x 5 x 2 = 80

8 x 7 = 56

5 x 5 = 25

80 + 56 + 25

56 + 25 =81

80 + 81 = 161

161 ft squared

7 0

3 years ago