convert -225 degrees into radians

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:

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:

your answer should be, B

Answer:

3:45 pm

Step-by-step explanation:

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:

weak, negative association

Step-by-step explanation:

If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.

Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.

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:

. 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

#SPJ2

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:

[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]

Step-by-step explanation:

yeah its A. because i aakes my math teacher.

Answer:

2nd one.

Step-by-step explanation:

Because it has the greatest volume

Answer:

A= 1 x 5 x3= 15       B= 3x4x2= 24     C= 2x7x1= 14    D=3x3x3= 27                           D has the greastest volume.

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:

h

Step-by-step explanation:

H

Answer:

0.9 yd³

Step-by-step explanation:

Information given:

Length = 18 ft

Width = 1.5 ft

Height = 1 ft

What to find/do:

First, convert the measurement from feet to yards. (3 ft = 1 yard)

Length = 18 ft = 6 yd

Width = 1.5 ft = 0.5 yd

Height = 1 ft = 0.3 yd

Next, find the volume of the shape given. The volume would give us the amount of concrete to use in yards.

Formula for volume = L*W*H

Plug in the values into the formula

V = 6*0.5*0.3 = 0.9 yd³

0.9 cubic yard of concrete must be ordered to pour on the given section.

Area of the volume

Answer:

[tex]length = l\\width = 5 + l\\Diagonal = 36\\diagonal^2 = (5+l)^2 + l^2\\36^2 = 25 + l^2 +10l + l^2\\1296 = 2l^2 +10l +25 \\2l^2 +10l=1271\\\\l_1=\frac{-10+2\sqrt{2567}}{2\cdot \:2},\:l_2=\frac{-10-2\sqrt{2567}}{2\cdot \:2}[/tex]

[tex]l_1=\frac{-5+\sqrt{2567}}{2},\:l_2=\frac{-5-\sqrt{2567}}{2}[/tex]

clearly,

      [tex]l_{2} \ is \ a \ negative\ number[/tex]

So we consider

[tex]l_{1} =\frac{-5+\sqrt{2567}}{2} = 22.83[/tex]

Therefore height = 22.8inches

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:

Step-by-step explanation:

Answer:

c: 75 minutes

Step-by-step explanation:

50/4 = 12.5

6 x 12.5 = 75

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:

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