Substitute 9 into each equation to determine if 9 is the solution. Drag each equation into the correct column.

Answer:

The outlier slightly affected the median.

Step-by-step explanation:

Given :

Data without an outlier: 15, 19, 22, 26, 29

Data with an outlier: 15, 19, 22, 26, 29, 81

The median :

Data without outlier :

0.5(n + 1) th term

n = 5

0.5(5 + 1) = 0.5(6) = 3rd term

3rd term = 22

Data with outlier :

0.5(n + 1) th term

n = 6

0.5(6 + 1) = 0.5(7) = 3.5th term

(3rd term + 4th term) /2

(22 + 26) / 2

48 / 2

= 24

From the result obtained ; The outlier slightly affected the median.

Answer:

A) The outlier slightly affected the median.

Step-by-step explanation:

Without the outlier, the median is 22, and with the outlier, the median is 24. So the outlier slightly affected the median.

Hope this helps :)

Answer:

The greatest number of bouquets Ms. Reyes can make is 4 bouquets

Step-by-step explanation:

Ms. Reyes buys three types of flowers. She buys 20 roses, 24 carnation, and 36 tulips.

To find the greatest number of bouquets she can make, we solve using Greatest Common Factor method.

We find the factors of 20, 24 and 36

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 4.

Hence, the greatest number of bouquets Ms. Reyes can make is 4 bouquets

Answer:

a. 360.323 m

b. [tex]95.265^{o}[/tex]

Step-by-step explanation:

Distance covered from A to B = speed x time

                                                 = 110 x 2.8

                                                 = 308 m

Distance covered from B to C = speed x time

                                                  = 110 x 1.7

                                                  = 187 m

The sum of angles at B = [tex]64^{o}[/tex] + [tex]26^{o}[/tex]

                                       = [tex]90^{o}[/tex]

a. The distance of the plane from it starting point to C can be determined by applying the cosine rule.

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

Sot hat;

[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex] - 2(187 x 308) Cos [tex]90^{o}[/tex]

But, Cos [tex]90^{o}[/tex] = 0

So that,

[tex]b^{2}[/tex] = [tex]187^{2}[/tex] + [tex]308^{2}[/tex]

  = 34969 + 94864

  = 129833

b = [tex]\sqrt{129833}[/tex]

  = 360.323

The distance from A to C is 360.323 m.

b. Applying the sine rule;

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]

[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{Sin90^{o} }[/tex]

[tex]\frac{187}{SinA}[/tex] = [tex]\frac{360.323}{1}[/tex]

Sin A = [tex]\frac{187}{360.323}[/tex]

         = 0.5190

⇒ A = [tex]Sin^{-1}[/tex] 0.5190

       = [tex]31.265^{o}[/tex]

The bearing of the plane from its original location = [tex]64^{o}[/tex] + [tex]31.265^{o}[/tex]

                                                     = [tex]95.265^{o}[/tex]

Using the Sine and Cosine rule on the triangle generated using the information given, the distance and bearing of the plane from its original location are :

Using the Cosine Rule :

b² = 187² + 308² - 2(187)(308)Cos(90°)

b² = 187² + 308² - 0

b² = 129833

b = √129833

b = 360.32 miles

B.)

Using the Sine rule :

a/sinA = b/SinB = c/SinC

187/sinA = 360.32/sin90

187/sinA = 360.32/1

sinA × 360.32 = 187

sinA = 187 / 360.32

sinA = 0.51898

A = Sin¯¹(0.51898)

A = 31.264

Hence, bearing of C from A = (64° + 31.264) = 95.26°

Learn more :https://brainly.com/question/2162679

Answer:

(96/5) mph, or 19.2 mph

Step-by-step explanation:

Average speed = (total distance traveled) / (total time elapsed)

Here we need to calculate the two elapsed times (going and returning)

Going:  t1 = d/(24 mph)

Returning:  t2 = d/(16 mph)

Less time is required for the outward bound trip.

                                                                            16d + 24d

Total time elapsed:  t = t1 + t2 = d/24 + d/16 = ------------------- = (5/48)*d hr

                                                                                 16*24

Thus, the average speed is (total distance traveled) / (total elapsed time)

                                2d

which here is --------------------- = (96/5) mph, or 19.2 mph

                             (5/48)d

If we take average speed into account in any direction, it equals (24 + 16) / 2 = 40 / 2 = 20mph.

If we consider speed in any direction, the average speed is:

(24 + 16) / 2 = 40 / 2 = 20mph

However, if direction is important, one number must be negative because the directions are opposite:

(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)

Depending on the circumstances, either of these could be your response.

To learn more about average speed, refer to:

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#SPJ2

Answer:

1 and 1/30 gallons

Step-by-step explanation:

First, convert all the fractions to a common denominator. I'm choosing 30.

1/3=10/30  1/5=6/30  1/2=15/30

Now, you can add them together to get 31/30, so a little more than a gallon

Answer:

Below :)

Step-by-step explanation:

-5+(-2)=     -7

5+(-2)=       3

-3+4=         1

0+(-3)=      -3

1 and 4 are negative sums, 2 and 3 are positive! :)

Answer:

-5+(-2) will be -7 so negative sum

5+(-2) will be 3 so postive sum

-3+4 will be 1 so postive sum

and finally 0 + (-3) is -3 so negative sum

hope this helps!

Answer:

The correct answer is -4.

Step-by-step explanation:

have a good day yall

Evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).

To evaluate a function, plug in the given value of the input (x) and simplify.

Thus:

f(x) = –2x² – 3x + 5

Substitute x = -3 into the function

f(-3) = –2(-3)² – 3(-3) + 5

f(-3) = -2(9) + 9 + 5

f(-3) = -4

Therefore, evaluating the function, f(x) = –2x² – 3x + 5 for x = -3, we would have: f(-3) = -4. (option B).

Learn more about evaluation of function on:

https://brainly.com/question/17385640

Answer:

2^3 * 7 + 7^2

Step-by-step explanation:

1) divide 28 by 2 = 14

2) divide 14 by 2 = 7

3) this means that 2 * 2 * 7 = 28

4) you can then take those 2 twos and multiply them with the first 2 and make 2^3

5) the square root of 49 is 7 so that is just 7^2

6) plug in all these new values for the originals and you get the answer above

Answer:

first you gotta calculate 2 -28 +49

After getting the answer solve the expressions to see which one is equivalent to 2-28 +49 (I think)

Answer:

m=2/5

b=3.8

Step-by-step explanation:

To find slope you need to use slope formula which is (y2-y1)/(x2-x1) so you need two points from the table and plug them into this. I'll use the first two points (-2, 3) and (-1, 5)

(5-3)/(3--2)

2/5

our slope is 2/5(m)

now to find the y int(b)

we have out slope intercept formula which is y=mx+b

plug in our slope

y=2/5x+b

now take a random point from our tabell and apply it to our equation I'll use (-2, 3) again.

3=2/5(-2)+b

3=-4/5+b

3=-0.8+b

add 0.8 to each side

3.8=b

b=3.8

Answer: x=0

Step-by-step explanation:

2x+6=-2x+6

2x+2x=6-6

4x=0

x=0/4

x=0

Answer

A.) 7* 10/9

When you divide fraction you change the symbol and flip the fraction and A is that equation.

Answer:

7 ÷ 9/10 = 7.777

a. 7 × 10/9 = 7.777

b. 1/7 ÷910 = 0.000

c. 7 × 9/10 = 6.3

d. 1/7 ÷ 10/9 = 0.128

therefore the answer is a

Step-by-step explanation:

Hope this helped!!! have a wonderful day!! :):):):)

Answer:

180

Step-by-step explanation:

5 time 6 times 6 is 180

Answer:

a). Amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new cracker box = 216 in³

Step-by-step explanation:

Volume of the Graham cracker box = volume of the rectangular prism formed

                                                           = Length × Width × Height

                                                           = 6 × 2 × 9

                                                           = 108 in³

a). To double the volume of the rectangular prism, manufacturer either doubles the height or doubles the width.

When manufacturer doubles the height,  

Amount of cardboard required = surface area of the rectangular prism

                                                      = 2(lw + wh + hl)

                                                      = 2(6×2 + 2×18 + 18×6)

                                                      = 2(12 + 36 + 108)

                                                      = 2(66)

                                                      = 132 in²

When manufacturer doubles the width,

Surface area of the rectangular prism = 2(6×4 + 4×9 + 9×6)

                                                               = 2(24 + 36 + 54)

                                                               = 2(114)

                                                               = 228 in²

Therefore, amount of cardboard required will be less when manufacturer doubles the width.

b). Volume of the new Graham box = 2(Volume of the old box)

                                                           = 2 × 108

                                                           = 216 in³

Answer:

-2y

Step-by-step explanation:

10x+ -2y = 3

-10            -10

-2y        =  -7

-2              -2

Answer:

the question is incomplete, so I looked for a similar one:

After the release of radioactive material into the atmosphere  from a nuclear power plant, the hay was contaminated by iodine  131 ( half-life, 8 days). If it is all right to feed the hay to cows  when 10% of the iodine 131 remains, how long did the farmers  need to wait to use this hay?

iodine's half life (we are given x, we need to find b):

0.5A₀ = A₀eᵇˣ

x = 8 days

we eliminate A₀ from both sides

0.5 = eᵇ⁸

ln 0.5 = ln eᵇ⁸

-0.69315 = b8

b = -0.69315 / 8 = -0.08664

since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):

0.1A₀ = A₀eᵇˣ

0.1 = eᵇˣ

ln 0.1 = bx

where b = -0.08664

x = ln 0.1 / -0.08664  = -2.302585 / -0.08664  = 26.58 days

Answer:

the answer will be A. x=7

Your answer should be 7

Answer: -1.3

Step-by-step explanation:

3. Alt. Interior Angles

4. definition of midpoint

Answer:

b*h

Step-by-step explanation:

therethere are four sides to a parallelogram and two of them would be h and b and you must multiply that by n then each other

New area:

(b*n) * (h*n) = (b*h)n^2

Answer:

where is the Worksheet

Step-by-step explanation:

there is no Worksheet

Answer: C

Step-by-step explanation: 1/3 probability

Answer:

8/10

Step-by-step explanation:

Answer: 0.8 = [tex]\frac{4}{5}[/tex]

Step-by-step explanation: We need to change 0.8 into a fraction.

0.8 = [tex]\frac{8}{10}[/tex]

[tex]\frac{8}{10}\\[/tex] = [tex]\frac{4}{5}[/tex]

Therefore, your answer is [tex]\frac{4}{5}[/tex]

hope this helps!

lovelymoonlight

Answer:

6.828125

Step-by-step explanation:

Answer:

x = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

Because of 45 45 90 triangle rule, we can see that the length opposite of the right angle is [tex]\sqrt{6}[/tex]. Using the 45 45 90 triangle rule, the side opposite to the right angle is x[tex]\sqrt{2}[/tex]. Then we solve for x and get x=[tex]\sqrt{3}[/tex].

Hope this helps and have a nice day!  

Answer:

Do u know the answer to

Step-by-step explanation:

Triangle ABC is a right triangle.  The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)  

A) 3.3 in

B) 6.7 in

C) 7.9 in

D) 9.0 in

Answer:

21

Step-by-step explanation:

2y-7=35

2(21)-7 = 35

42-7= 35

35 =35

Answer:

Step-by-step explanation:

Given

[tex]Loan = \$240,000[/tex]

[tex]Amount = 250\%[/tex]

Required

Determine the total amount

This is calculated by multiplying the loan amount by the percentage:

i.e.

[tex]Payment = Amount\% * Amount[/tex]

[tex]Payment = 250\% * \$200000[/tex]

[tex]Payment = \$500000[/tex]

Hence, the total payment is $500000

Answer:

i used to have a problem with this

Step-by-step explanation:

Answer:

Um, no lo sé, lo siento, solo necesito los puntos

Step-by-step explanation:

Answer:

False; the slope is 2/3 and the y intercept is 1/4

I hope this is good enough:

Answer:

The unit rate in miles per hour = 1.4 miles/hr

Step-by-step explanation:

Given that:

Distance walked by Boardman family = Two over five of a mile = [tex]\frac{2}{5}\ miles[/tex]

Time taken by Boardman family = Two over seven of an hour = [tex]\frac{2}{7}\ hour[/tex]

To find:

The unit rate in the miles per hour = ?

Solution:

Formula for the rate or the speed can be given as:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

Putting the values:

[tex]\Rightarrow \dfrac{\frac{2}5}{\frac{2}7}\\\Rightarrow \dfrac{7}{5}\\\Rightarrow \bold{1.4\ miles/hr}[/tex]

So, the unit rate in miles per hour = 1.4 miles/hr