Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.

As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.

Mrs. Hanger decides to change the scale of her drawing from 1:6 to 1:4.

Is the new scale drawing larger or smaller than the original scale drawing? Use complete sentences to explain your reasoning.
What are the dimensions of the painting on the new scale drawing?

The conditional probability that the carbon emission is beyond the permissible emission level and the test predicts this is given by:

a. 0.2975.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, we have that the events are as follows:

We have that 35% of the units have carbon emission beyond the permissible emission level, and the test is 85% accurate, hence:

[tex]P(A) = 0.35, P(B|A) = 0.85[/tex]

Then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]0.85 = \frac{P(A \cap B)}{0.35}[/tex]

[tex]P(A \cap B) = 0.85(0.35) = 0.2975[/tex]

Which means that option a is correct.

More can be learned about conditional probability at https://brainly.com/question/14398287

#SPJ4

Answer:

False

Step-by-step explanation:

Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.

Answer:

7 ft ×6 ft

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W ft respectively.

Form 2 equations using the given information:

LW= 42 -----(1)

L= 3W -11 -----(2)

Substitute (2) into (1):

(3W -11)(W)= 42

Expand:

3W² -11W= 42

3W² -11W -42= 0

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

Applying quadratic formula:

[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]

[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]

[tex]W= \frac{ 11± 25}{6} [/tex]

W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)

Substitute W= 6 into (1):

L(6)= 42

L= 42 ÷6

L= 7

Thus the dimensions of the rectangle is 7 ft ×6 ft.

Answer:

[tex] \longrightarrow \tt {4}^{2} + 2 + 3 \times 4 + 4[/tex]

[tex] \longrightarrow \boxed{\tt{\: 34}} \: [/tex]

---------- HappY LearninG <3 ------

Answer:

the answer is 34

Step-by-step explanation:

see the image

Answer:

r = -7

Step-by-step explanation:

-4 + 2r - 5r = 17

=> 2r - 5r = 17 + 4

=> -3r = 21

=> r = 21/(-3)

=> r = -7

Answer:

~201

Step-by-step explanation:

Use the area formula:  [tex]A=\pi r^2[/tex]

22/7 x 64 = 201.14

which rounds to 201

Answer:

A=L*W

Step-by-step explanation:

6x²+8x+2=LX(3x+1)

                 2x+2

Answer:

=-3v-6

Step-by-step explanation:

Distribute:

=(−3)(v)+(−3)(1)+−3

=−3v+(−3)+(−3)

Combine like terms:

=(−3v)+(−3+(−3))

=−3v+−6

=-3v-6

Hope this helps, this was easy!

From the figure, we immediately have

cos(θ) = 8/17

sin(θ) = 15/17

By definition of tangent,

tan(2θ) = sin(2θ)/cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

Then

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)

tan(2θ) = -240/161

Answer:

Length = 14 and width = 7 cm,

Step-by-step explanation:

Let the width be x cm then the length is 2x cm

2x + 2(2x) = 42

6x = 42

x = 7

Length = 14 and width = 7.

Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.

Hope this helps!

The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Volume of the box = l×w×h

150 = l×w×h

h = 2 in

l = 10+w

150 = (10+w)(w)(2)

150 = 2w(10+w)

After solving, we get:

w = 5 or w = -15

Width cannot be negative.

w = 5 in

Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

Learn more about the cuboid here:

brainly.com/question/9740924

#SPJ1

Probality is given by the ratio of the number of the one type of product to the total number of the product .

so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple

so green apple = 10- 7 = 3 apples

Answer:

Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)

a. (4/8 - 1/8)/(4/2 - 1/2)

3/8 / 3/2

3/8 x 2/3 = 2/8 = 1/4

y - 1/8 = 1/4(x - 1/2)

y - 1/8 = 1/4x - 1/8

y = 1/4x

b. (1400 - 1200)/(1000 - 500)

     200/500 = 2/5

y -  1200 = 2/5(x - 500)

y - 1200 = 2/5x - 200

y = 2/5x + 1000

c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95

 y - 13.95 = 13.95(x - 1)

y - 13.95 = 13.95x - 13.95

y = 13.95x

d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156

    y = .16(x - 0)

y = .16x

or y = .156x

Answer:

Here is the ans...hope it helps

The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches

Pythagoras theorem can be used to find eh.

Therefore,

c²= a² + b²

where

Therefore,

AE = 7 inches

AH = 7√3 inches

Therefore,

EH² = ( 7√3 )² - 7²

EH²  = 147 - 49

EH = √98

EH = 9.89949493661

EH = 9.9 inches

learn more on Pythagoras theorem here: https://brainly.com/question/13990872

#SPJ4

Answer: ITS BBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

The value of arc ST in the circle with center at point V is 125 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

mSU = 2 * ∠STU (angle at center is twice angle at circumference)

21x + 8 = 2(13x - 6)

x = 4

mSU = 21(4) + 8 = 92°

mSU + mUT + mST = 360° (angle in a circle)

92 + 143 + mST = 360

mST = 125°

The value of arc ST in the circle with center at point V is 125 degrees.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

See below ~

Step-by-step explanation:

Part 1 - Acceleration when t = 3

Part 2 - Deceleration when t = 12

Part 3 - Total Distance Covered

    2. From t = 4 to t = 8

    3. From t = 8 to t = 15

Total distance = 66 + 88 + 77 = 231 m

Part 4 - Average Speed

    2. Avg. Speed (t = 4 to t = 8)

    3. Avg. Speed (t = 8 to t = 15)

Average Speed = 16.5 + 22 + 11 / 3

Answer:

to find volume of square pyramid use this formula

Step-by-step explanation:

[tex]volume = \frac{1}{3} a {}^{2} h[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's get started ~

According to question :

[tex]\sf \dashrightarrow y \propto \dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = k\dfrac{1}{x} [/tex]

Now, we have been given that when y = 11, x = 8

Let's plug these values in equation to find value of k ~

[tex]\sf \dashrightarrow 11 = k \cdot\dfrac{1}{8} [/tex]

[tex]\sf \dashrightarrow k = 11 \times 8[/tex]

[tex]\sf \dashrightarrow k =88[/tex]

we got the value of proportionality constant. now we have been asked to find the value of y when x = 16

So, let's use the equation ~

[tex]\sf \dashrightarrow y = k \cdot\dfrac{1}{x} [/tex]

[tex]\sf \dashrightarrow y = 88\cdot\dfrac{1}{16} [/tex]

[tex]\sf \dashrightarrow y = \dfrac{11}{2} [/tex]

[tex]\sf \dashrightarrow y = 5.5[/tex]

I hope you understood the whole procedure ~

The price of Burritos is $ 2.2 and the price of savory chips is $1.1

A system of equations is a set or collection of equations that you deal with all together at once.

Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

The price of 26 delicious burritos and 27 orders of savory chips for $86.90

4 more burritos and 9 more orders of chips for $40.70

Let us consider the price of Burritos is x

and the price of savory chips is y

from the first statement we can form the equation

26*x +27*y = 86.9

and from the second statement we can form the equation

14*x + 9*y= 40.70

To determine the price of each we have to solve these system of equations.

On solving using elimination method

16x = 35.2

x = $2.2

and y = $1.1

Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.

To know more about System of Equations

https://brainly.com/question/12895249

#SPJ1

The price of Burritos is $ 2.2 and the price of savory chips is $1.1

A system of equations is a set or collection of equations that you deal with all together at once.

The price of 26 delicious burritos and 27 orders of savory chips = $86.90

The price of 14 more burritos and 9 more orders of chips = $40.70

Let us consider the price of Burritos is x

and,  the price of savory chips is y

Now,

26x +27y = 86.9

and

14* + 9*= 40.70

On solving above two equation, we get

16x = 35.2

x = $2.2

and y = $1.1

Hence,  price of Burritos is $ 2.2 and the price of savory chips is $1.1.

Learn more about System of Equations here:

brainly.com/question/12895249

#SPJ1

Answer:

13.0236

Step-by-step explanation:

4^0.2x +6=43

(2^2)^0.2x +6=43

2^2*0.2x +6=43

The perimeter of quadrilateral JKLM with the given coordinates is approximately 20.0 units.

Perimeter of a quadrilateral = sum of all four sides of the quadrilateral.

Given the coordinates of quadrilateral JKLM as:

Use the distance formula, [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex], to find each segment of the quadrilateral .

JK = √[(3−(−2))² + (7−3)²]

JK = √41

JK ≈ 6.4 units

KL = √[(3−6)² + (7−5)²]

KL = √13

KL ≈ 3.6 units

LM = √(1−6)² +(1−5)²]

LM = √41

LM ≈ 6.4 units

JM = √(1−(−2))² + (1−3)²]

JM = √13

JM ≈ 3.6 units

Perimeter of quadrilateral JKLM = 6.4 + 3.6 + 6.4 + 3.6 = 20 units.

Learn more about the perimeter of a quadrilateral on:

https://brainly.com/question/10466285

#SPJ1

Answer:X=5

Y=

Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number

also here are some practice questions, ask me if you don't get them

Answer:

720km

Step-by-step explanation:

12000 steps = 2 feet * 12000 = 24000 feet

= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm

= 720000cm = 720000 / 1000 = 720km

a) The arrangement of 9 paintings can be done 9 ways.

b) The arrangement of the 4 out of 9 paintings will be done as 21 ways.

The arrangement of the different things or numbers in a number of ways is called the combination.

a) Here if she has 9 paintings so the number of the arrangements will be

[tex]^{9} C _2 =\dfrac{9!}{(9-1)!(1!)}\\\\\\^{9} C _2=\dfrac{9!}{8!}\\\\\\^{9} C _2= 9 \ ways[/tex]

b) The arrangement of the 4 out of 9 paintings will be

[tex]^{9}C_{4}=\dfrac{9!}{(9-4)!(4!)}\\\\\\\^{9}C_{4}=21 \ ways[/tex]

Therefore the arrangement of 9 paintings can be done 9 ways and the arrangement of the 4 out of 9 paintings will be done as 21 ways.

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ1

Answer:

See below

Step-by-step explanation:

(a)

(b)

(c)

Answer:

Step-by-step explanation:

Answer: The answers are:  -1,  1, (2, 2), (2, 2), & perpendicular and share the same point.

Step-by-step explanation: Trust Me! Answer is correct in Edge.

Good Luck! :)