Does bin width matter when it comes to histograms? Why or why not?

Answer:

Triangle ABC and triangle EDF

The similar triangles are Δ ABC ~ Δ EDF ~ Δ GHI, both the triangles are similar to Δ ABC.

Triangles are similar when their corresponding sides are equal ratios and their corresponding angles are congruent.

Given are triangles, Δ ABC, Δ EDF and Δ GHI,

Since, in Δ ABC and Δ EDF, two angles are shown congruent therefore, both are similar.

Also,

In Δ GHI,

∠ G + ∠ I = 129°

∠ H = 180° - 129°

∠ H = 43°

Since, we get, two angles congruent in both triangles Δ EDF and Δ GHI

Therefore, both the triangles Δ EDF and Δ GHI are similar,

Now,

Since, Δ ABC ~ Δ EDF and Δ EDF ~ Δ GHI,

Therefore, Δ ABC ~ Δ EDF ~ Δ GHI,

Hence, the correct option is "Both"

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Answer:

Question 7: Company A has a lower rate

Question 8: Caiden's vehicle gets more miles per gallon

Step-by-step explanation:

Question 7:

According to the table for Company B's rates, if you divide the total cost by the square footage in each row, you would get $2.75/ft² each time. Therefore, Company A would charge the Smiths a lower cost per square foot.

$2.25/ft² < $2.75/ft²

Company A < Company B

Question 8:

Using the given equation, we already know that Caiden's vehicle has a gas mileage of 16.2 miles/gallon The graph for Ethan's gas mileage can be figured out using slope. Taking the points (0, 0) and (2, 30) on the line, we can figure out the line's slope.

slope = rise/run,

where "rise" is how much you add or subtract to get from the first y-value to the second, and "run" is how much you add or subtract to get from the first x-value to the second.

slope = rise/run

slope = 30/2

slope = 15/1

The slope of the line is 15, so that means the line's equation is y = 15x. Therefore, Ethan's gas mileage is 15 miles/gallon.

16.2 mpg > 15 mpg

Caiden > Ethan

Answer:

y = -1/4x + -6

Step-by-step explanation:

The input value that gives an output of 19 is not listed in the answer choices. None of the options are correct.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
We can start by setting up the equation:

2x² + 3x + 5 = 19

Subtracting 19 from both sides:

2x² + 3x - 14 = 0

(2x - 7)(x + 2) = 0

Using the zero product property, we can solve for x:

2x - 7 = 0 or x + 2 = 0

2x = 7 or x = -2

x = 7/2 or x = -2

Therefore, the input value could be either 7/2 or -2.

The answer choices do not include 7/2, but we can check both input values to see which one gives an output of 19:

f(7/2) = 2(7/2)^²+ 3(7/2) + 5 = 19.25

f(-2) = 2(-2)² + 3(-2) + 5 = 3

Thus, the input value that gives an output of 19 is not listed in the answer choices.

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Answer:

1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else

Answer:

-8/10, -3/16, 3/16

Step-by-step explanation:

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

Answer:

hello~ is this how im sopoused to talk~

Step-by-step explanation:

good bye~

Answer:

Imma be truthful here

Hotest boy: Bakugo

Cutest boy: Deku (everyone can relate) and Mineta

Toughest boy: Todoroki (hes mentally still stable after all that trauma-)

Craziest boy: Shigakari

Most Annoying Boy: Twice

Now imma talk about the mineta thing

Mineta would be the perfect little guy in the series if he wasnt a perv. He's super smart, but lets his single pringle self get in the way. So really he is cute when hes not being a perv.

Answer:

d

Step-by-step explanation:

because it's the same number

The absolute value of the number 0.75 is 0.75 .

Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.

Absolute value of a positive number is that same positive value. Distance of a positive number from zero is that positive number.

So absolute value of 0.75;

|0.75| = 0.75

Therefore, the absolute value of the number 0.75 is 0.75 .

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Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x pan of lasagna

4 = 1

285 = x

Cross product

4*x = 285*1

4x = 285

x = 285/4

x = 71 1/4 pans of lasagna

Answer:

in this equation x would equal 6. because 6*6=36

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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Answer:

292.4

Step-by-step explanation:

Answer:

292.4

Step-by-step explanation:

Use the mean formula: sum of elements / number of elements

Plug in the numbers:

(300 + 222 + 285 + 310 + 345) / 5

1462 / 5

= 292.4

So, the mean is 292.4

Answer:When you ask, "What is 58.84 as a decimal?", we assume you want to know what 58.84 percent is as a decimal. In other words, 58.84 percent converted to decimal.

First, we will tell you why it is useful to know 58.84 as a decimal.

Normally, to calculate 58.84 percent, you would multiply a number by 58.84 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 58.84 as a decimal to get the answer.

58.84 ÷ 100 = 0.5884

Step-by-step explanation: there you go :)

Answer:

1. 5b-3

2. 6-b

3. 7-5b

4. 6+4b

The area of trapezium CDEF will be 42 cm².

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

The perimeter of the rectangle ABCF is 28 cm.

Let's say BC = FA = x

Perimeter = AB + BC + CF + FA

Perimeter = 9 + x + 9 + x

Perimeter = 18 + 2x

2x + 18 = 28

x = 5 cm

Now,

Area of trapezium = (1/2) × sum of parallel distance × perpendicular distance.

Area of trapezium = (1/2) × (5 + 9) × 6

Area of trapezium = 42 cm²

Hence "The area of trapezium CDEF will be 42 cm²".

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Answer:

The factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Step-by-step explanation:

Consider the provided information.

[tex]c^2-49[/tex]

Use the formula of the difference of the square in order to factorize the given expression: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]c^2-49=c^2 - 7^2[/tex]

[tex]c^2-49=(c - 7)(c+7)[/tex]

Hence, the factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Answer:

43.6

Rounded to the nearest 0.1 or

the Tenths Place.

Answer A. 3 mph

A. 3 mph

Answer:

3,400

Step-by-step explanation:

Answer: 10.5882353 I think I DO NOT PROMISE THIS IS RIGHT

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = - 4x + 3    ⇒   m₁ = -4    ⇒    m₂ = -4

The point-slope form of the equation of a line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

m = -4

(2, -3)   ⇒   x₁ = 2,  y₁ = -3

point-slope form:

y - (-3) = -4(x - 2)

y + 3 = -4x + 8             {subtact 3 from both sides}

y = -4x + 5        ←    slope-intercept form

Answer:

y=4

Step-by-step explanation:

-28 divided by -7 equals to 4

Hope this helps!!

Answer: y = 4

Step-by-step explanation:

-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.

Answer:

i belive it is y=-4x+5

Step-by-step explanation:

i just did the test

Answer: Y-4+5 Is the answer

Step-by-step explanation:

Answer:

d). 6p²+p-2 f).k²+8k+16

Answer:

ok then

♧♧♧♧♧♧♤♤○○●○○□□○•☆☆▪︎○○~

Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Answer:

42 people are wearing sunscreen

Step-by-step explanation:

Step one:

given data

We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.

i.e 7:5

number of people not wearing sunscreen is 30

let us use part to part method to solve this problem

let the number of people wearing sunscreen be x

so,

7/5= x/30

cross multiply we have

5x=210

divide both sides by 5

x= 210/5

x=42 people are wearing sunscreen

Answer:

I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)

Answer:

9 yards

Step-by-step explanation:

THE QUESTION ABOVE ISN'T COMPLETE THEN I FIND THE SAME QUESTION WITH JUST CHANGE IN VALUES. CHECK IT BELOW;

A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the unpainted strip of each part of the road?

EXPLANATION:

From the question, a 208-yard-long road is been parted into into 16 parts and they all have equal length.

Then we can determine the Length of each part as

(208-yard-long road/16 parts )

= 13

Then each part has a length of 13 yards

From the question, we know that 4-yard-long strip was painted in each part by Mr. Ward. Which means to determine the

unpainted strip of each part, we are going to use the expresion below.

(Length of each strip - length of painted strip)

= (13 yards - 4-yard-long strip )

= 9 yards

Therefore, the length of unpainted strip of each part of the road is 9 yards

Answer:

x= 30

Step-by-step explanation: