Find the range of the data.

52,40,49,48,62,54,44,58,39
How do I find the range?

1. Area of a triangle= 1/2×base.height

=1/2.14.10

=70

2. Area of a trapezium=(base 1+base 2/2)×height

= (3+7/2)×4

=20

Answer:

Step-by-step explanation:

if x = 6 and y = 4

then

20xy - 10x² = 20×(6)×(4)-10×(6^2) = 120

Therefore,

Mary has 120 sweets

……………………………………

if x = 6 and y = 4

then

5x = 5 × (6) = 30

…………………………

120 ÷ 30 = 4

Then 4 sweets per friend.

Answer:

y=x-3

Step-by-step explanation:

Answer:

12^2 + 15^2 = 18^2

Step-by-step explanation:

If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle

a^2 + b^2 = c^2

12^2 + 15^2 = 18^2

If this is true, then the triangle is a right triangle

Answer:

b

Step-by-step explanation:

Answer:

see image

Step-by-step explanation:

If 21 people study French and everyone studies some language, then the other 4 people must be Spanish only students. 25 - 21 =4

Since 13 people study Spanish,

13-4=9

9 people must study both Fr and Sp.

If 9 people study BOTH, then

21-9=12,

12 people must be the Fr only people.

The arch-looking, upsidedownU is intersect.

Fr intersect Sp are the StudyBOTH people.

P(Both) = Both/Total

= 9/25

If you need %, divide 9÷25 and times by 100. That's 36%

F' means Not French people, which is Spanish only people (thankfully there are no No-Language-studiers bc they would count too)

P(F')

= P (not Fr)

= P (Sp Only)

= 4/25 = 16%

Answer:

the first one is a lie

Step-by-step explanation:

caf is more 45 degrees than 25

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

[tex] \textbf{Here we go :} [/tex]

[tex]\qquad \sf  \dashrightarrow \:9(2x + 1) = 9x - 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:18x + 9 = 9x - 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:18x - 9x = - 18 - 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x = - 27[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 27 \div 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = - 3[/tex]

[tex] \textsf{Hence, value of x is -3} [/tex]

[tex]~~~~~~5(x+4) = 40\\\\\implies x +4 = \dfrac{40} 5\\\\\implies x +4 = 8\\\\\implies x= 8-4\\\\\implies x = 4[/tex]

6.25 / 100 = 0.0625 ( interest rate)

320 x 0.0625 = 20

answer: 20

Answer:

26, 23, 20, 17, 14, 11
-3, 7, 17,27,37,47

Step-by-step explanation:

sequence add and subject

Answer: Choice G   [tex]\left| \frac{p-n}{n} \right|[/tex]

============================================================

Explanation:

Pick a positive number for p, and a negative value for n. Make sure that p is further away from 0 than n is (so that [tex]|p| > |n|[/tex] is a true statement).

I'll go for these values

Replace every copy of p with 5, and replace every copy of n with -2. Then evaluate or simplify. Use your calculator if needed.

Let's start with choice F.

[tex]F = \left| \frac{p-n}{p} \right|\\\\F = \left| \frac{5-(-2)}{5} \right|\\\\F = \left| \frac{5+2}{5} \right|\\\\F = \left| \frac{7}{5} \right|\\\\F = \left| 1.4 \right|\\\\F = 1.4\\\\[/tex]

Now onto choice G

[tex]G = \left| \frac{p-n}{n} \right|\\\\G = \left| \frac{5-(-2)}{-2} \right|\\\\G = \left| \frac{5+2}{-2} \right|\\\\G = \left| \frac{7}{-2} \right|\\\\G = \left| -3.5 \right|\\\\G = 3.5\\\\[/tex]

Next up is evaluating the expression for choice H.

[tex]H = \left| \frac{p+n}{p-n} \right|\\\\H = \left| \frac{5+(-2)}{5-(-2)} \right|\\\\H = \left| \frac{5-2}{5+2} \right|\\\\H = \left| \frac{3}{7} \right|\\\\H \approx \left| 0.4286\right|\\\\H \approx 0.4286\\\\[/tex]

Then let's compute expression J.

[tex]J = \left| \frac{p+n}{p} \right|\\\\J = \left| \frac{5+(-2)}{5} \right|\\\\J = \left| \frac{5-2}{5} \right|\\\\J = \left| \frac{3}{5} \right|\\\\J = \left| 0.6 \right|\\\\J = 0.6\\\\[/tex]

Lastly, compute expression K.

[tex]K = \left| \frac{p+n}{n} \right|\\\\K = \left| \frac{5+(-2)}{-2} \right|\\\\K = \left| \frac{5-2}{-2} \right|\\\\K = \left| \frac{3}{-2} \right|\\\\K = \left| -1.5 \right|\\\\K = 1.5\\\\[/tex]

-----------------------------------

To summarize, when plugging p = 5 and n = -2 into each expression, we got these results:

Expression G leads to the largest output.

Therefore, [tex]\left| \frac{p-n}{n} \right|[/tex] has the largest value when p > 0 and n < 0.

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, p is a positive number, n is a negative number, and |p| > |n|.

Let us consider p=5 and n=-2

Now,

F) |(p-n)/p|

= |(5-(-2))/5|

= |7/5|

= 1.4

G) |(p-n)/n|

= |(5-(-2))/(-2)|

= |7/(-2)|

= 3.5

H) |(p+n)/(p-n)|

= |(5-2)/(5-(-2))|

= |3/7|

= 0.43

J) |(p+n)/p|

= |(5-2)/5|

= |3/5|

= 0.6

K) |(p+n)/n|

= |(5-2)/2|

= |3/2|

= 1.5

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

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Answer:

D

Step-by-step explanation:

when x = 0, y = 40

therefore you can pick either A or D only.

while x increases, y decreases, that's negative relation

so, answer is D

Answer:

Option D

Step-by-step explanation:

y = mx + b

b is the y - intercept (when x = 0):

this graph doesn't show any negative values on the axis so options B and C can't be true since it they have - 40 when its positive 40

y = mx + 40

The dot association is going downwards, the y values are getting smaller

making this a negative association leaving on ly option d true

Answer:

9

Step-by-step explanation:

9 × 9 = 81

81 + 40 = 121

121 is the amount of money you want so you just have to mow 9 lawns to get your exact amount of money you need.

Answer:

Superhero B

Step-by-step explanation:

7 miles in 2 minutes is much farther than 1 mile A minute

Answer:

Step-by-step explanation:

10x + 8x = 180 (angles on straight line)

x = 10

AFH = 10x = 100

AFE = 8x = 80

Answer:

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

 (x+7) = 2(x -15)

 x + 7 = 2x - 30 . . . . eliminate parentheses

 37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Thus, AD = AG +GD = 44 +22 = 66

Answer: Area = 112 Perimeter = 44

Step-by-step explanation:

Area = length × width = 8× 14 = 112

Perimeter = 2L + 2B = (2×8) +(2×14)

Perimeter = 16 + 28 = 44

Answer:

x=2

Step-by-step explanation:

[tex]2^{3x+1}+52=180^o[/tex]

[tex]2^{3x+1}+52-52=180-52[/tex]

[tex]2^{3x+1}=128[/tex]

[tex]3x+1=7[/tex]

[tex]x=2[/tex]

Answer:

-3 <= x < 5

Step-by-step explanation:

Because x is less than 5, we put a less than sign. And x is greater than or equal to -3, so we have to put that specific sign.

Using proportions, it is found that the average waste produced by each plant on a monthly basis is of 0.8 tons per month.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there is a period of 60 x 12 = 720 months, with 104 plants, and 60,000 tons of waste were produced, hence the average is given by:

A = 60000/(720 x 104) = 0.8 tons per month.

More can be learned about proportions at https://brainly.com/question/24372153

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The margin error is 2.82%.

A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample

The margin of error for a sample proportion is given by

[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]

where p is the sample proportion and n is the sample size.

Consider the  confidence level of 95%, then  [tex]z_{\alpha /2}[/tex] = 1.96

p = 53% = 0.53 and n =1200

Thus, Margin of error=

[tex]z_{\alpha /2}\sqrt{ \frac{p(1-p)}{n} }[/tex]

=1.96[tex]\sqrt{ \frac{0.53(1-0.53)}{1200} }[/tex]

=1.96*0.0144

=0.0282

= 2.82%

Hence, margin error is  2.82%.

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Answer:

[tex]b^{2} \sqrt{30b}[/tex]

Step-by-step explanation:

The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.

The ratio of daffodils to total flower is,

n=2/9.

To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,

x=36*(2/9)

x=4*2

x=8

The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.

Flower=2*9

Flower=18

Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,

Carnations=3*5

Carnations=15

Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

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Answer:

yes, it is a right triangle.

Step-by-step explanation:

trust

Hey there!

Assuming you meant….

(0.2)^3 * (0.3)^4

= 0.2^3 * 0.3^4

= 0.2 * 0.2 * 0.2 * 0.3 * 0.3 * 0.3 * 0.3

= 0.04 * 0.2 * 0.09 * 0.09

= 0.008 * 0.0081

= 0.0000648

≈ 0.000065

Therefore, your answer should be:

0.0000648

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

[tex] \tt{}(0.2 {)}^{3} \times (0.3 {)}^{4} [/tex]

[tex]\tt{}0.3 \times 0.06 ^{3} [/tex]

[tex]\tt{} \frac{3}{10} \times ( \frac{3}{50} {)}^{3} [/tex]

[tex]\tt{} \frac{3}{10} \times \frac{ {3}^{3} }{ {50}^{3} } [/tex]

[tex]\tt{} \frac{ {3}^{4} }{10 \times 50 ^3 } [/tex]

[tex]\tt{} \frac{81}{10 \times 5 {0}^{3} } [/tex]

[tex]\tt{}6.48[/tex]

Answer:

Step-by-step explanation:

since 2 sides are equal i.e. 6=6, It is an isosceles triangle

56+x+x=180

2x=180-56

x=62°

Please mark it as brainliest

Have a good day!

Answer:

(z+7)*(z+4)

Step-by-step explanation:

The first term is,  z2  its coefficient is  1 .

The middle term is,  +11z  its coefficient is  11 .

The last term, "the constant", is  +28

Step-1 : Multiply the coefficient of the first term by the constant   1 • 28 = 28

Step-2 : Find two factors of  28  whose sum equals the coefficient of the middle term, which is   11 .

     -28    +    -1    =    -29

     -14    +    -2    =    -16

     -7    +    -4    =    -11

     -4    +    -7    =    -11

     -2    +    -14    =    -16

     -1    +    -28    =    -29

     1    +    28    =    29

     2    +    14    =    16

     4    +    7    =    11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  4  and  7

                    z2 + 4z + 7z + 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   z • (z+4)

             Add up the last 2 terms, pulling out common factors :

                   7 • (z+4)

Step-5 : Add up the four terms of step 4 :

                   (z+7)  •  (z+4)

            Which is the desired factorization