What is the correct order of the functions from least to greasiest according to the average rate of change on the interval from x-1 to x =3

Answer:

. Bisector cut a segment into 2 ≅ parts. 3. Intersect lines form vertical ∠ ... Prove: EC ≅ FB ... Prove: AD ≅ CB ... or SR ≅ ST Side ... SX + XR ≅ SY + YT.

Step-by-step explanation:

In the given triangles, as per given conditions ΔRSY≅ Δ TSX  by SAS (Side Angle Side) theorem.

" Triangle is defined as the two dimensional geometrical shape with three vertices , three sides, and three angles enclosed in it."

Theorem used

SAS theorem ( Side angle side)

In given triangles, corresponding sides and included angle of one triangle is equals to corresponding sides and included angle of another triangle , then triangles are said to be congruent.

According to the question,

Given,

In a  triangles,

SX ≅ SY              ______ [tex]( 1)[/tex]

XR ≅ YT             ______[tex]( 2 )[/tex]

Add [tex](1)[/tex] and [tex](2)[/tex] we get,

SX + XR ≅ SY + YT

⇒SR ≅ ST           ____[tex](3)[/tex]

In triangle ΔRSY and ΔTSX,

SY ≅ SX ( given)

∠RSY ≅∠TSX ( Common angle)

SR ≅ ST (from [tex](3)[/tex] )

By SAS theorem (side angle side theorem ) stated above we get,

ΔRSY≅ Δ TSX

Hence, ΔRSY≅ Δ TSX by SAS theorem as per the given condition of a triangle.

Learn more about triangles here

https://brainly.com/question/2773823

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Answer:

=72/5

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Answer:

68% of the individuals in the population have an IQ between 85 and 115.  95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.

Step-by-step explanation:

Answer:

n = 2.6

Step-by-step explanation:

6.5 : 5

n : 2

6.5/5 = 1.3

2 x 1.3 = 2.6

n = 2.6

i hope this helps

Answer:

the answer is 15.3. hope this helps:)

Step-by-step explanation:

Answer:

(22d-22) cm

Step-by-step explanation:

perimeter= 2×(4d-8+7d-3)

= 2× (11d-11)

(22d - 22) cm

Answer:

(22d-22)cm

Step-by-step explanation:

Perimeter = 2 x (width + Length)

= 2 x [(4d – 8) + (7d – 3)]

= 2 x (11d-11)

= (22d-22)cm

Answer:

Median= 14

Mean= 90

Step-by-step explanation:

Median:

Put the numbers in order,

4, 7, 9, 14, 16, 19, 20 Then after that you find the number exactly in the middle. That number ends up to be 14.

Mean:

Add up all of the numbers and then round it to the nearest tenth: 90

Median= 14

Mean= 90

Answer:

c: 75 minutes

Step-by-step explanation:

50/4 = 12.5

6 x 12.5 = 75

Answer:

7x + y =36

Step-by-step explanation:

( y- y1) = m(x - x1)

y - 8 = -7( x - 4)

y- 8 =-7x +28

y = -7x +36

7x + y =36

Answer:

C. 7 - 3 = 4

Step-by-step explanation:

Given

[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]

Required

The IQR

The IQR is calculated using:

[tex]IQR = Q_3 - Q_1[/tex]

Where:

[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]

[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]

The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.

Split to two, we have:

[tex]Lower \to 3, 3, 4[/tex]

[tex]Median \to 5[/tex]

[tex]Upper \to 6, 7, 10[/tex]

The lower half has 3 data; So, the median is the 2nd position.

Hence:

[tex]Q_1 = 3[/tex]

The upper half has 3 data; So, the median is the 2nd position.

Hence:

[tex]Q_3 = 7[/tex]

So, the IQR is:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 7 - 3[/tex]

[tex]IQR = 4[/tex]

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the answer is asset because asset is the best option to be choosed

Answer:

C dot plot shows a sample that is most representative of the number of pets in a household.

Answer:

7 bookcases

Step-by-step explanation:

Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:

5.25/0.75

= 7

So, the custodian will be able to repaint 7 bookcases

Answer:

lol

Step-by-step explanation:

Answer:

35/72 [tex]m^2[/tex]

Step-by-step explanation:

Rectangle Formula: [tex]l*w=Area[/tex]

Switch the variables with the numbers given:

[tex]\frac{5}{9} *\frac{7}{8} =Area[/tex]

Multiply the top and bottom:

5*7 = 35

9*8 = 72

35/72 = Area

Answer:

98 degrees

Step-by-step explanation:

first find angle G

53 + 45 + G = 180

subtract 45 and 53 from both sides

G = 82

angle g is supplementary (add up to 180) to x

x +82 = 180

subtract 82 from both sides

x = 98

Answer:

x = 98°

Step-by-step explanation:

There are 180° in a triangle, and 180° on a line.

180° - 53° - 45° = 82°

180° - 82° = 98°

Answer:

cos(37°)

Step-by-step explanation:

sin(53°) = cos(90° - 53°)

sin(53°) = cos(37°)

Step-by-step explanation:

yeah its A. because i aakes my math teacher.

Answer:

2nd one.

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

H

Answer:

your answer should be, B

Answer:

a) p(H) = 0.15

,   p(M) = 0.55

,   p(C) = 0.30,

p(S | H) i.e. sunny and hot  = 0.67

P(c | H) i.e. cloudy and hot  = 1 - 0.67 = 0.33

P( S | M) i.e. sunny and mild = 0.36

P(c | M) i.e. cloudy and mild  = 1 - 0.36 = 0.64

P( S | C )i.e. sunny and cold  = 0.33

P( c | C)   = 1 - 0.33 = 0.67

b) ≈ 0.40

c) P ( H | S )  = 0.2513

  P( M | S )   = 0.495

  P(C | S) = 0.2475

d) P( H I c ) = 0.0825

Probability of mild and cloudy= 0.587

Probability of cold and cloudy  = 0.335

e)  No

Step-by-step explanation:

a) List All probabilities given in this problem

lets represent each condition with the first letter

Temperature : Hot ( H ) , mild ( M ) , cold ( C )

weather : Sunny ( S ) and cloudy ( c )

hence the probabilities are ;

p(H) = 0.15,   p(M) = 0.55,   p(C) = 0.30,

p(S | H) i.e. sunny and hot  = 0.67

P(c | H) i.e. cloudy and hot  = 1 - 0.67 = 0.33

P( S | M) i.e. sunny and mild = 0.36

P(c | M) i.e. cloudy and mild  = 1 - 0.36 = 0.64

P( S | C )i.e. sunny and cold  = 0.33

P( c | C) i.e. cloudy and cold  = 1 - 0.33 = 0.67

b) probability of a sunny day

P ( s ) =  P( H ) * P( S | H ) +  P( M ) * P( S | M ) + P(C) * P( S | C)

          = (0.15 * 0.67) + ( 0.55 * 0.36 ) + ( 0.30 * 0.33 )

           = 0.3975 ≈ 0.40

c) Given the weather is sunny ( application of Bayes theorem = P(A and B) / P(B) )

P ( H | S ) = ( 0.15* 0.67 ) / 0.4  

               = 0.2513

P( M | S ) = 0.55 * 0.36 / 0.3975  

               = 0.198 / 0.4

               = 0.495

P(C | S) = 0.3 * 0.33 / 0.4

            = 0.099  = 0.2475

D) Given that the weather is cloudy

P( c ) = 1 - 0.4    = 0.6

P( H I c ) = ( 0.15*0.33) / 0.6

= 0.0825

Probability of mild and cloudy = (0.55*0.64) / 0.6  = 0.587

Probability of cold and cloudy  = ( 0.30 * 0.67) / 0.6  = 0.335

e) The cloudy weather ( c ) is not Independent of the hot weather

because condition for independency ( P(c) x P( H )  = P( c and H) ) is not fulfilled.

Answer:

yeah it's B

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

answer is d

Step-by-step explanation:

4+3=7

2i+I=3i

Answer:

[tex]-\frac{\sqrt{21}}{2}[/tex]

Step-by-step explanation:

ASTC (I use a sentence to memorize: All Students Take Calculus):

Q1 - All functions are positive

Q2 - Sine is positive (Cosecant is positive as well) (all others negative)

Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)

Q4 - Cosine is positive (Secant is positive as well) (all others negative)

Applying ASTC:

Secant is negative, so it can't be in quadrant 1, and quadrant 4.

Quadrant 2 - Sine and Quadrant 3 - Tangent are left.

Cosecant is positive so it can't be in quadrant 3.

Therefore, angle x is in Quadrant 2 or QII

Secant is hypotenuse / adjacent

5 = hypotenuse (hypotenuse is never a negative number)

-2 = adjacent

use pythagorean theorem to solve for opposite (bc tan = opp / adj)

[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]

tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]