Is the line shown on the scatter plot a good line of fit? Choose the best explanation.

Is The Line Shown On The Scatter Plot A Good Line Of Fit? Choose The Best Explanation.

Answers

Answer 1

This is not a line of best fit because it does not pass through two of the data points. Option D

What is the line of best fit?

The line of best fit is a straight line that is used to represent the general trend in a scatter plot or a set of data points. It is also known as the regression line, as it is often used in regression analysis to model the relationship between two variables.

The line of best fit is chosen to minimize the distance between the line and the data points, typically by minimizing the sum of the squared errors (the differences between the actual y-values and the predicted y-values on the line).

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Related Questions

Please help me///////

Answers

Answer: Anything greater than 3

Step-by-step explanation:

The answer can be any number greater or equal to 3. This is because if you subtract 3 by 3 you get 0 and zero is still greater than -2 making the inequality true

a real estate agent has 12 properties that she shows. she feels that there is a 40% chance of selling any one property during a week. the chance of selling any one property is independent of selling another property. compute the probability of selling more than 5 properties in one week. round your answer to four decimal places.

Answers

The probability of selling more than 5 properties in a week is 0.7494 (rounded to four decimal places).

The probability of selling more than five properties in a week would be calculated using the binomial distribution method. Binomial distribution is used to calculate the probability of an event happening, given a specific number of trials and assuming that each trial is independent of the others. In this case, we want to know the probability of selling more than five properties in a week.

The formula for the probability of selling more than five properties in a week is:
P(X > 5) = 1 - P(X ≤ 5)
Where P is the probability of selling any one property in a week, and X is the number of properties sold in a week.
Using the binomial probability formula, we can determine the probability of selling exactly k properties in one week:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where
n = 12 (total number of properties)
k = number of properties sold
p = 0.40 (probability of selling any one property in a week)
We can now calculate the probability of selling more than 5 properties in a week:

P(X > 5) = 1 - P(X ≤ 5)
P(X > 5) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5))
P(X > 5) = 1 - [(12 choose 0) * (0.40)^0 * (0.60)^(12-0) + (12 choose 1) * (0.40)^1 * (0.60)^(12-1) + (12 choose 2) * (0.40)^2 * (0.60)^(12-2) + (12 choose 3) * (0.40)^3 * (0.60)^(12-3) + (12 choose 4) * (0.40)^4 * (0.60)^(12-4) + (12 choose 5) * (0.40)^5 * (0.60)^(12-5)]
P(X > 5) = 1 - [0.000015 + 0.0003 + 0.003 + 0.018 + 0.068 + 0.161]
P(X > 5) = 1 - 0.250583
P(X > 5) = 0.749417

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Find the answer to the?

Answers

Answer: 520

Step-by-step explanation:

if pizza times pizza times pizza equals 27, the square root of twenty seven is three. so three time three equals 9, then times cheeseburger(which equals 2) would equal 18. so 2*2+2= taco(8)

assuming the rest of your diet remains constant, how many days will it take you to lose 9 pounds? you must burn an extra 3500 calories to lose 1 pound of body weight

Answers

As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

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amahle makes the minimum salary for an actuary. asaad makes the median salary for a cpa. who makes more money?

Answers

Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.

From the attached box plot we have,

Box plot always shows,

First Minimum → Lower quartile → Median → Upper quartile → Maximum

The minimum salary for an actuary is equals to

Approximately 35 dollars

And the median salary for a CPA from the box plot is equals to,

Approximately 60 dollars

Here , by comparing the both the values we have,

Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).

The median salary for a CPA is typically higher than the minimum salary for an actuary.

Therefore, Asaad representing median salary makes more money than Amahle .

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The above question is incomplete, the complete question is:

Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?

Box plot is attached.

Which trig function would we use with the 35°
angle to find the length of JG?

Answers

Answer:

cosine

Step-by-step explanation:

The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angle = 35°

Hence, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ sec 35° = Hypotenuse / Base

⇒ 1/cos 35° = 9 / JG

Thus, The correct trig function would we use with the 35° angle to find the length of JG is,

⇒ Inverse cosine

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5x−2+x=9+3x+10 what is x?

Answers

Answer:

[tex]\tt x=7[/tex]

Step-by-step explanation:

[tex]\tt 5x-2+x=9+3x+10[/tex]

Combine like terms:-

[tex]\tt 5x+x-2=9+3x+10[/tex]

[tex]\tt \:5x+x=\bf 6x[/tex]

[tex]\tt 6x-2=9+3x+10[/tex]

Add numbers:-

[tex]\tt 9+10=\bf 19[/tex]

[tex]\tt 6x-2=3x+19[/tex]

Add 2 to both sides:-

[tex]\tt 6x-2+2=3x+19+2[/tex]

[tex]\tt 6x=3x+21[/tex]

Subtract 3x from both sides:-

[tex]\tt 6x-3=3x+21-3[/tex]

[tex]\tt 3x=21[/tex]

Divide both sides by 3:-

[tex]\tt \cfrac{3x}{3}=\cfrac{21}{3}[/tex]

[tex]\tt x=7[/tex]

____________________

Hope this helps! :)

Answer: X = 17

Step-by-step explanation: First combine like terms on both sides so the 5x + x on the left side for a total of 6x and the 9 + 10 on the right side for a total of 19. Then get your variables and numbers all to one side each so you would add 2 from the left to the right and cancel out and then subtract 3x from the right to the left and cancel out. Finally you would divide 21 by 3.

5x-2+x=9+3x+10

6x-2=19+3x

+2 -3x

3x=21

/3. /3

x=7

suppose gre verbal scores are normally distributed with a mean of 455 and a standard deviation of 124 . a university plans to offer tutoring jobs to students whose scores are in the top 8% . what is the minimum score required for the job offer? round your answer to the nearest whole number, if necessary.

Answers

The minimum score required for the job offer found using normal distribution is 629

To find the minimum score required for the job offer, we have to use the standard normal distribution formula.

Where Z-score can be calculated as,

Z = (x - μ) / σ

Z-score is the number of standard deviations from the mean.

μ = Mean = 455

σ = Standard Deviation = 124

Substituting the values, we get, Z = (x - μ) / σ= (x - 455) / 124

Probability value = 1 - 0.08 = 0.92

The probability of getting scores in the top 8% is 0.92.

By using the standard normal distribution table, we can find the corresponding z-value, where the area under the curve to the right of that value is 0.92.

So, the corresponding Z-value is 1.44.

Z-value = 1.4 = (x - 455) / 124

We can solve the above equation for x (minimum score required for the job offer).

x = Z * σ + μ = 1.4 * 124 + 455 = 628.6 ≈ 629

Round off the answer to the nearest whole number, we get the minimum score required for the job offer is 629.

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what is the rental price for a shirt that a store buys for $10 after a 30% mark up

3 reads strategy: annotate and think /show work

1r: what is the problem about
2r:what is the question asking to find
3r: connection/ number...

help with work​

Answers

Answer:

retail price = $13.00

Step-by-step explanation:

10 x 1.30 = $13

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

This figure is a rectangle with a semicircle on the shorter side.

What is the perimeter of this figure?

Use 3.14 for pi.

A. 20.28 ft

B. 30.28 ft

C. 46.28 ft

D. 74.24 ft

Answers

The perimeter of the figure which is a rectangle with a semicircle on its shorter side would be =34.28ft

How to calculate the perimeter of the given figure?

To calculate the perimeter of the figure, the perimeter of both the rectangle and the semicircle is calculated separately and added together.

The perimeter of rectangle = 2(l+w)

where;

l = 10ft

w = 4ft

perimeter = 2(10+4)

= 2× 14

= 28ft

Perimeter of semicircle = 2πr/2 = πr

where

π = 3.14

r = 4/2 = 2ft

perimeter = 3.14×2 = 6.28

Therefore, the perimeter of the given figure = 28+6.28 = 34.28ft.

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Question 1(Multiple Choice Worth 2 points)
(Comparing Data MC)

The data given represents the number of gallons of coffee sold per hour at two different coffee shops.


Perks A Lot
10 3.5 3
5 2.5 7
8 5.5 9.5
6 9 4.5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5


Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Perks A Lot, with a median value of 5.75 gallons
Wide Awake, with a median value of 4.5 gallons
Perks A Lot, with a mean value of 5.75 gallons
Wide Awake, with a mean value of 4.5 gallons
obsessivex

Answers

Based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.

What is Statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

To determine which coffee shop typically sells the most amount of coffee per hour, we need to compare the measures of center for both sets of data. The two common measures of center are the mean and the median.

Calculating the mean and median for both sets of data, we get:

Perks A Lot:

Mean = (10+3.5+3+5+2.5+7+8+5.5+9.5+6+9+4.5)/12 = 5.75

Median = the average of the 6th and 7th numbers when the data is arranged in order: 3, 3.5, 5, 5.5, 6, 7, 8, 9, 9.5, 10

Wide Awake:

Mean = (2.5+10+4+18+4+3+6.5+15+6+5+2.5)/11 = 6

Median = the average of the 5th and 6th numbers when the data is arranged in order: 3, 4, 5, 6, 6.5, 10, 15, 18

Comparing the measures of center, we can see that Perks A Lot has a lower mean and a higher median compared to Wide Awake. This suggests that Perks A Lot sells less coffee on average, but has more consistent sales with less extreme values. On the other hand, Wide Awake has higher average sales, but with a wider range of values.

Therefore, based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.

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A ladder 8m leans against a building. The angle formed by the ladder and the ground is 60 . How far from the building is the foot of the ladder

Answers

Answer = 4m

30-60-90 Triangle

Which of the fractions below are less than 3/8?

Answers

The fractions that are greater than 3/8 are option A. 1/2, option B. 4/5, and option D. 2/3.

How did we get these values?

To compare fractions, we need to make sure they have the same denominator. In this case, we can convert all the fractions to have a denominator of 8:

3/8 = 3/8

1/2 = 4/8

4/5 = 6.4/8

1/3 = 2.7/8

2/3 = 5.3/8

2/12 = 1/6 = 1.3/8

Now we can see which of these fractions are greater than 3/8:

3/8 = 3/8

4/8 = 1/2 > 3/8

6.4/8 > 3/8

2.7/8 < 3/8

5.3/8 > 3/8

1.3/8 < 3/8

So, the fractions that are greater than 3/8 are 1/2, 4/5, and 2/3.

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The complete question goes thus:

Which of the fractions below are greater than 3/8? Select three.

A. 1/2

B. 4/5

C. 1/3

D. 2/3

E. 2/12

A gym teacher fills a basket with 70 balls. Some of the balls are rubber, and the rest are foam. He has four classes per day. Each class gets out 10 balls at random. At the end of class, they put the balls back in the basket for the next class to use. The first class pulls out 2 rubber balls and 8 foam balls. The second class pulls out 4 rubber balls and 6 foam balls. The third and fourth classes both pull out 3 rubber balls and 7 foam balls. About how many of the balls in the basket are rubber?​

Answers

To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls. Therefore, We can estimate that there are about 21 rubber balls in the basket.

What is average proportion?

An average proportion is the sum of a set of proportions divided by the number of proportions.

It represents the average or typical value of the proportions in the set, and can be used to estimate the overall proportion or percentage of a larger population.

To estimate how many of the balls in the basket are rubber, we can use the proportion of rubber balls that were drawn in each class to find the average proportion of rubber balls across all four classes.

We can then use this average proportion to estimate the number of rubber balls in the whole basket.

The total number of balls drawn from the basket is:

(2 + 8) + (4 + 6) + 2 x (3 + 7) = 40

The total number of rubber balls drawn is:

2 + 4 + 2 x 3 = 12

The proportion of rubber balls drawn in each class is:

Class 1: 2/10 = 0.2

Class 2: 4/10 = 0.4

Class 3: 3/10 = 0.3

Class 4: 3/10 = 0.3

The average proportion of rubber balls across all four classes is:

(0.2 + 0.4 + 0.3 + 0.3) / 4 = 0.3

Therefore, we can estimate that approximately 30% of the balls in the basket are rubber. To estimate the number of rubber balls in the whole basket, we can multiply this proportion by the total number of balls:

Number of rubber balls = 0.3 x 70 = 21.

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What is the value of u? ​

Answers

Answer:

union apparently

Answer:

u = 26.1°

Step-by-step explanation:

the 2 angles u and 44.1° combine to form the angle 70.2° , that is

u + 44.1° = 70.2° ( subtract 44.1° from both sides )

u = 26.1°

Please help asap don’t understand any of them

Answers

Answer:

#1. A. y=sin x + 2 Is the same as cos.

Step-by-step explanation:

HELP DRIVERS ED
20 pts

Answers

The correct option is:

Steering wheel the proper distance from the body, at least a foot from the body, right foot should reach behind the brake pedal and knee should be slightly bent.

What is distance?

Distance is a numerical measurement of the amount of space between two objects or points.

First, the distance between the steering wheel and the driver's body should be at least one foot. This ensures that the driver has enough room to operate the pedals and steering wheel without feeling cramped or uncomfortable. Mathematically, we could express this as:

distance between steering wheel and body ≥ 1 foot

Second, the right foot should be able to reach behind the brake pedal, and the knee should be slightly bent. This allows the driver to apply pressure to the brake pedal without having to overextend their leg or foot. Mathematically, we could express this as:

length of driver's leg + distance from seat to brake pedal = distance from seat to brake pedal when leg is slightly bent

These considerations help to ensure that the driver is seated in a safe and comfortable position while operating the vehicle.

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Help pls worth 10
points!!!

Answers

The answer is B, Y= -1/2x - 4

9. A circular walking path surrounds the city park in Bayport. Multiple walking paths also
connect the center of the park to the outer walking path. These paths create congruent
sectors, each with an area of 1.42 square miles.
What is the approximate length of each of the walking paths that passes through the
center of the park and connects opposite sides of the outer walkway?

Answers

The approximate length of each of the walking paths that passes through the center of the park and connects opposite sides of the outer or circumference walkway is 21 meters.

Let r₁ and C₁  be the radius and the circumference of the inner circle.

Let r₁​ and C₂  be the radius and the circumference of the outer circle.

The width of the circular path is (r₂​ −r₁ ) m.

Given, C₂ −C₁ = 132 m

⇒2πr₂−2πr₁ = 132m

⇒2π(r₂ −r₁ ) = 132m

⇒r₂−r₁ = 66/22/7

​⇒r₂−r₁ = 21

Thus, width of the circular path is 21 m.

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A right-angled triangle is formed by the diameters of three semicircular regions, A, B and C as shown in the diagram.

Answers

It is true that the areas of regions B and C added together equal the area of region A.

What is region?

A region is an area of land that has a distinct physical or cultural identity. Regions are typically characterized by particular geographic features, such as mountains, rivers, or seas; by cultural attributes, such as language, religion, or government; or by economic activities, such as farming, mining, or industry.

Assume that A, B, and C will have diameters of a, b, and c, respectively.
Consequently, the semicircle's surface area is,
A = 1/2π(d/2)²
A = (π/8) d²
In a right-angled triangle, the square on the hypotenuse is equal to the particular sum of the squares of one two sides. With a right triangle,
a² = b² +c²   ----(1)
The areas for regions A, B, and  C will be  (π/8) a²,  (π/8) b², and  (π/8) c² accordingly.
Equation 1's (/8) multiplication yields,
(π/8) a² = (π/8) b² +(π/8) c²
The result is
Region A's area is equal to Region B's plus Region C's.

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Complete Question:

It is true that the areas of regions B and C formed by the semi circles added together equal the area of region A.

What is semi circle?

In geometry, a semicircle can be defined as a half circle made by cutting the circle into two halves. It is formed when a line passes through the center of a circle and touches the two ends of the circle which is the diameter of the circle.

Let us assume that A, B, and C will have diameters of a, b, and c, respectively.

By the formula of semicircle's surface area,

A = 1/2π(d/2)² where d is the diameter of the semi circle.

A = (π/8) a² [ since diameter of semicircle A is a]

By Pythagoras theorem, In a right-angled triangle, the square on the hypotenuse is equal to the  sum of the squares of  two sides.

So here from the right angled triangle we get,

a² =b² +c²   ----(1)

The area for region A is  (π/8) a²

The area of  region B is (π/8) b²

and  the area of region C is (π/8) c²

Now, Area of region B + Area of region C

= (π/8) b² + (π/8) c²

= (π/8) ( b² +c² )

= (π/8) a² [ from equation (1)]

Hence , Region A's area is equal to Region B's plus Region C's area.

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Anota el valor posicional de las cifras encerradas

Answers

The digit information are:

A) 900,000,000

5,000,0006,000

B) 40,000

7009

What is the Digit numbers  about?

900,000,000: Nine hundred million. The first three digits (900) represent the hundred millions place, the next three digits (000) represent the ten millions place, and the last three digits (000) represent the ones (or units) place.

5,000,000: Five million. The first digit (5) represents the millions place, and the last six digits (000,000) represent the ones (or units) place.6,000: Six thousand. The first digit (6) represents the thousands place, and the last three digits (000) represent the ones (or units) place.40,000: Forty thousand. The first two digits (40) represent the ten thousands place, and the last three digits (000) represent the ones (or units) place.

Lastly, 7009: Seven thousand nine. The first digit (7) represents the thousands place, the next two digits (00) represent the hundreds place (which are omitted since they are zeroes), and the last two digits (09) represent the ones (or units) place.

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See full text below

3.- Anota el valor posicional de las cifras encerradas

=

a) (9) 1(5) 23(6) 470

b) 38(4) 1(7) 6(9)

3.- Write down the place value of the enclosed figures

=

a) (9) 1(5) 23(6) 470

b) 38(4) 1(7) 6(9)

Musa has a glass that holds 250 ml of water. He drinks of these glasses of water. He fills his glass from a 2-litre bottle of water. Work out how much water is left in the bottle. Give your answer in millilitres. ​

Answers

Answer:

1750ml

Step-by-step explanation:

2L=2000ml

2000-250

1750ml

can yall pls help me!!!!!!!!!

Answers

Answer:

w ≥ 13.5

Step-by-step explanation:

-(4/ 9)w ≤ -6

Multiply both side by - 1

(4/ 9)w ≥ 6

Cross multiply

4w ≥ 54

Divide both side by the coefficient of w

4w/4 ≥ 54/4

w ≥ 13.5

You randomly select one marble from a barrel containing 9 blue, 10 yellow, 3 red, 8 green, and 2 purple marbles. 1. Find the experimental probability of randomly selecting a marble that is NOT yellow

Answers

Answer:

11/16 is the answer or 22/32

The minute hand of this clock is shown in two positions. The minute hand first forms a 46° angle with the hour hand. It then forms an 84° angle with the hour hand.

How many degrees did the minute hand turn from its first position to its second position?

Enter your answer in the box.

°
The face of a clock. The hour hand points to the 9. The minute hand is rotated to two positions. In its first position, the minute hand is between 10 and 11 so that it forms a 46 degree angle with the hour hand. In its second position, the minute hand is between 11 and 12 so that it forms an 84 degree angle with the hour hand. The angle formed by the first and second position of the minute hand is labeled with a question mark.

Answers

To find the number of degrees the minute hand turned from its first position to its second position, we need to find the difference between the two angles formed by the minute and hour hands.

In the first position, the minute hand forms a 46° angle with the hour hand. Since the hour hand is pointing at 10 and the minute hand is between 10 and 11, we know that the hour hand has moved 1/6th of the way from 10 to 11, or 30°. Therefore, the angle between the hour hand and the 12:00 position is 120° + 30° = 150°. So the minute hand is 46° away from 150°, or 104°.

In the second position, the minute hand forms an 84° angle with the hour hand. Since the hour hand is pointing at 10 and the minute hand is between 11 and 12, we know that the hour hand has moved 1/2 of the way from 10 to 11, or 150°. So the minute hand is 84° away from 150°, or 234°.

To find the number of degrees the minute hand turned, we subtract the two angles: 234° - 104° = 130°.

Therefore, the minute hand turned 130° from its first position to its second position.

Write your own predictions for a local magazine to the year 2001. Be sure to give your essay a focus Choose details to support your predictions​

Answers

Answer:

As we approach the turn of the millennium, it is natural to wonder what the future holds. For a local magazine, predicting trends and changes in the community is essential to staying relevant and informative. In the year 2001, I predict that our city will continue to grow and evolve in exciting ways.

One major focus for our magazine should be on technology. As we enter a new era of digital communication and information sharing, it will be important to keep readers informed about new developments and how they impact our daily lives. This could include coverage of local tech startups, updates on internet infrastructure projects, or profiles of innovative individuals using technology to make a difference in our community.

Another area of interest will be sustainability. As concerns about climate change become more urgent, I predict that our city will take bold steps towards becoming more environmentally friendly. Our magazine can highlight initiatives like bike lanes, green energy projects, or sustainable food systems.

Overall, I believe that by focusing on these key areas – technology and sustainability – our local magazine can remain relevant and engaging for years to come.

BRAINLIEST please

thanks

Factor 81+45. Write your answer in the form a(b+c) where a is the GCF of 81 and 45.

please us these thing (4e4) sumthing like that

Answers

Answer:

9 × ( 9 + 5 )

Hope this helps!

Step-by-step explanation:

The GCF of 81 and 45 is 9.

In a parallelogram, the largest angle is 50° greater than the smallest angle. what is the size of each angle in the parallelogram​

Answers

Answer:

Largest angles- 115

Largest angle- 115

Smallest angle-65

Smallest angle-65

Step-by-step explanation:

Angles of opposite sides in a parallelogram are equal.

Let the smallest angle be y.

Let the largest angle be y+50

y+50+y+50+y+y=360

100+4y=360

4y=(360-100)/4

y=65

Theyre four angles:

50+y(65)= 115

50+y(65)= 115

y=65

y=65

Answer: 65° and 115°.

Step-by-step explanation:

Let the smallest angle is x°

Hence the largest angle is x°+50°

The sum of the angles in a parallelogram that are adjacent to one side is 180 degrees.

Therefore

x°+(x°+50°)=180°

2x°+50°=180°

2x°+50°-50°=180°-50°

2x°=130°

Divide both parts of the equation by 2:

x°=65°

x°+50°=65°+50°

x°+50°=115°.

help plsssss i dont understand

Answers

Answer:

f(x)= 3x+2

Step-by-step explanation:

math

:)

Consider the equation 9-e² = 54.
Solve the equation for z. Express the solution as a logarithm in base-e.
Z=
Approximate the value of z. Round your answer to the nearest
thousandth.
Z≈

Answers

The approximate value of z for the given logarithm in base-e is found to be: z = 0.8959 (nearest thousandth).

Explain about the logarithm function?

A power wherein a number must all be increased in order to obtain another number is known as a logarithm.

The conception of hyperbolic sectors in calculating the area of a rectangular hyperbola gave rise to the concept of log. Several formats, such as exponential and integration of 1/x, can be used to express a log.

The given expression is-

9. [tex]e^{2z}[/tex] = 54.

On simplification:

[tex]e^{2z}[/tex] = 54 / 9

[tex]e^{2z}[/tex] = 6

Now, taking ㏑ both side:

㏑ [tex]e^{2z}[/tex] =  ㏑ 6

using the power rule of ㏑.

2z.  ㏑e =  ㏑6

we know that,  ㏑e = 1

2z * 1 =  ㏑6

z = ㏑6 / 2

z = 1.79 / 2

z = 0.8959

Thus, the approximate value of z for the given logarithm in base-e is found to be: z = 0.8959 (nearest thousandth).

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