The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 23 different months.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F.
Note that you can use the graphing tools to help you approximate the line.

Step-by-step explanation:

since it is the midsegment, all involved and related line segments follow the 1/2 factor.

so, the length of the midsegment is precisely in the middle between the lengths of the top and bottom lines.

in the first drawing

22 = x + (x - 10)

22 = x + x - 10

32 = x + x = 2x

x = 16

in the second drawing

x = 15 + (15 - 8) = 15 + 7 = 22

Answer:

It's D) 95%

Step-by-step explanation:

It's the correct answer

The percentage of the times are between 2 hours and 4 hours is 45.5%.

Standard deviation is the positive square root of the variance. Standard deviation is one of the basic methods of statistical analysis. Standard deviation is commonly abbreviated as SD and denoted by 'σ’ and it tells about the value that how much it has deviated from the mean value.

Given that, μ=3 hour, σ=0.5 and x1=2 hours and x2=4 hours.

We know that, Z=(x-μ)/σ

Here, Z1=(2-3)/0.5

Z1=-2 = -0.2275

Z2=(4-3)/0.5

Z2=2 = 0.2275

= 0.2275-(-0.2275)

= 0.2275+0.2275

= 0.455

= 45.5%

Therefore, the percentage of the times are between 2 hours and 4 hours is 45.5%.

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Answer: True

Step-by-step explanation:

There are two pairs of congruent angles, meaning the triangles are similar by AA.

It is true that based on the given information triangle RST is similar to triangle UVW by the AA similarity postulate.

Similar triangles are triangles that have the same shape but are different in size. More specifically, two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Here,
Since a figure is given with two triangles, RST and UVW.
From the figure, we can see that there are two angles that are equal, are given as;

∠R=∠U    [measure is 67°]

∠T=∠W    [measure is 90°]

Thus, it is true that based on the given information triangle RST is similar to triangle UVW by AA similarity postulate.

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Answer: 4

Step-by-step explanation:

The length of QR(x) from the given figure is 4 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given figure, QR=x, RS=2√3 units and ∠STR=60°.

We know that, sinθ= Opposite/Hypotenuse

sin60°=2√3/RT

√3/2=2√3/RT

RT=4 units

As we know, tanθ= Opposite/Adjacent

tan45°= x/4

1= x/4

x=4 units

Therefore, the length of QR(x) from the given figure is 4 units.

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Step-by-step explanation:

√

4

2

⋅

5

5

Pull terms out from under the radical.

4

√

5

5

The result can be shown in multiple forms.

Exact Form:

4

√

5

5

Decimal Form:

1.78885438

Answer: -2

Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.

2 x -1= -2

Hope it helps!

Answer:

Step-by-step explanation:

Natural log and the number 'e' are inverse to each other. Therefore, if you take the natural log of both sides, the exponential cancels and leaves 'x' isolated:

[tex]ln(e^x)=ln(15.29)[/tex]

[tex]x=ln(15.29)[/tex]

Let's solve for x

So natural logarithm on both sides

[tex]\\ \rm\Rrightarrow x=ln(15.29)[/tex]

[tex]\\ \rm\Rrightarrow x=2.73[/tex]

Answer:

It comes out to around 127

Step-by-step explanation:

Answer:

9.1s

Step-by-step explanation:

Since we know that velocity is uniformly decelerating, we can take the average velocity: Letting Vf equale 0 /ms, we get 1/2 21.8ms or 10.9ms. Now we know V = D/T and rearranging this gives T = D/V. Substitute our velocity of 10.9m/s for V and 99m for D: T = 99m/ 10.9ms. finally we get T = 9.1s                

Hope This Helps :)

The time in which Anny drives in the rain is 90 minutes. This is calculated by using the speed-distance-time formula.

Speed is the ratio of distance traveled to the time taken for traveling.

Speed=distance/time

Unit: m/s

It is given that,

Anny drives at a speed of 50 miles per hour if it is not raining and drives at a speed of 30 miles per hour.

Today she drove in the sun in the morning and the rain in the afternoon, for a total of 120 miles in 180 minutes.

Consider x be the time required to drive not in the rain and y be the time required to drive in the rain

So, the distance covered (not in the rain) = 50x (since the speed is 50 mile/h), and the distance covered (in the rain) =30y (since the speed is 30 miles/h)

Therefore, the total distance covered both in rain and without rain is:

50x+30y=120 (since the total distance she drove is 120 miles)

And the total time required for driving in rain and without rain is:

x + y=3 (since 180 minute = 3 hours)

On solving the above equations we get,

x=[tex]\frac{3}{2}[/tex] and y=[tex]\frac{3}{2}[/tex]

Then,

y=[tex]\frac{3}{2}[/tex]×60(minute)=90 minute

Therefore, the time taken for her to drive in rain is 90 minutes.

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Answer:

it is False

Step-by-step explanation: i also did this test

Answer:

86°

Step-by-step explanation:

Two sides of the triangle are equal

=> ∠A = ∠C

And since ∠A = 47°

=> ∠C = 47° & ∠B = x°

Now, according to Angle sum property of a triangle

=> ∠A + ∠B + ∠C = 180°

=> 47° + x + 47° = 180°

=> 94° + x = 180°

=> x = 180 - 94 = 86°

Therefore x = 86°

Answer:

Yes

Step-by-step explanation:

The X of all the points show that it is a function because none of the X values are repeating.

Answer:

1) 8

2) 3pencils 4erasers

Step-by-step explanation:

Answer: 14.596

Step-by-step explanation:

Hope this Answer Helps! if it helped please leave brainliest

Answer: $7.10

Step-by-step explanation

1. mutiply 0.35 times 19 = 6.65

2. 0.45+6.65=7.1

It will cost $7.10 for a 20-minute-long-distance call.

have a good day

Answer:

$7.10

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

4 times a number is at least -12

Substitute the missing number for x.

4x = -12

4x/4 = -12/4

x = -3

4 times -3 is at least -12.

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

[tex]4x\geq -12\implies x\geq-3[/tex]

Step-by-step explanation:

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{5}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{-\cfrac{5}{4}}(x-\stackrel{x_1}{4})[/tex]

[tex]y+2=-\cfrac{5}{4}x+5\implies \stackrel{\textit{multplying both sides by }\stackrel{LCD}{4}}{4(y+2)=4\left( -\cfrac{5}{4}x+5 \right)}\implies 4y+8=-5x+20 \\\\\\ 5x+4y+8=20\implies 5x+4y=12[/tex]

Answer:

1/2

Step-by-step explanation:

C, 1/2

Step-by-step explanation:

Use the equation y = mx + b,

b is the y-intercept

m represents the slope

-3 = slope

1/2 = y-intercept

1/2 is your answer

hope this helps :) and that i got it right this time lol

Answer:

the ratio is 50:35 or 50 to 35 or 50/35

Step-by-step explanation:

Step-by-step explanation:

volume of rec. prism = area base × height

200 = 20 × height

height = 10 inch

Answer:

the answer is B <3

Step-by-step explanation:

have a good day!

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Answer:

b

Step-by-step explanation:

Answer:

x=60º

Step-by-step explanation:

Answer: x=60º

180º-60º=120º

2x=120º

divide by 2 on both sides

x=60º

Answer:

6

Step-by-step explanation:

h=3(12/6)

1/2

hope it helps...!!!

Answer:

A diameter is the longest chord of a circle.

Answer:

0.3718688642

Step-by-step explanation:

Weekdays consist of 5 days and weekends consists of 2 days. ... In case if you do not know, there are 7 days in a week.

The probability of one student who were born on a weekday

= 5/7

The probability of one student who were born on a weekend

= 2/7

This question then can be solved by using the binomial distribution formula,

[tex]P(X = 4) = \binom{5}{4} { (\frac{5}{7}) }^{4} {( \frac{2}{7}) }^{1} \\ = 0.3718688642 [/tex]

The ordering cost using the Lot-for-Lot method is 900.06.

The ordering cost using the Lot-for-Lot method will be calculated thus:

C = Q/2(H) + D)Q(S)

C = 450/2(4) + 100/450(3)

C = 450(2) + 30/45

C = 900 + 0.7

C = 900.7

The ordering cost using Wagner-Whitin algorithm will be:

= 300 + 900 + 300 + 1700 + 2150 + 600

= 5750

The ordering cost using fixed order quantity will be:

= 6/(300 + 450 + 100 + 450 + 450 + 100)

= 6/1850

= 0.00324

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