It has rained two out of the past nine days.
Based on this data, what is the probability
that it will not rain for the next four days?

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:

Step-by-step explanation:

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

x = 10

AFH = 10x = 100

AFE = 8x = 80

Step-by-step explanation:

A = πr^2

When r=8m and π = 3.14,

A = 3.14*8*8=200.96sq.m

Answer:

[tex]\huge\boxed{\bf\:200.96\:m^{2}}[/tex]

Step-by-step explanation:

If,

Area (A) of the circle = ?

A = πr²                    [tex]\dashrightarrow[/tex]  Formula

A = 3.14 × (8)²

A = 3.14 × 64

A = 200.96 m²

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Step-by-step explanation:

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Answer:

18,564

Step-by-step explanation:

The formula is n! / (r!(n-r)!

n is the total number of people and r is the number of people to be picked

n = 18, r = 6

18! / (6!(18-6)!)

18! / (6!*12!)

Total combinations = 18,564

Answer:

3

Step-by-step explanation:

18 ÷ 6 = 3

check and make sure the answer is right so you do the opposite

3 × 6 = 18

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

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:

(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

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°

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The measure of each arc.

a. JL =  132

b. KM =147

c. JLM = 200

d. JM =120

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint.

The measure of JL

=m JK+ m KL

= 53+79

= 132

The measure of KM

=m KL+ m LM

= 79+68

=147

The measure of JLM

= 53+68+79

= 200

The measure of JM

=360-200

=120

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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:

-2

Step-by-step explanation:

f(2)= 2^2 + 2(2) - 10

= 4+4-10

=8-10

= -2

Answer:

Superhero B

Step-by-step explanation:

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

6.25 / 100 = 0.0625 ( interest rate)

320 x 0.0625 = 20

answer: 20

Answer:

[tex]32 \times \frac{15}{16} [/tex]

Step-by-step explanation:

15 1/2 times 2 1/8 ??

[tex](15 \times \frac{1}{2} ) \times( 2 \times \frac{1}{8} )[/tex]

15 ×2 =30 +1 =31/2

2×8=16+1=17/8

[tex] \frac{31}{2} \times \frac{17}{8} [/tex]

[tex] \frac{527}{2 \times 8} [/tex]

527/16

[tex]32 \frac{15}{16} [/tex]

Answer:

yes, it is a right triangle.

Step-by-step explanation:

trust

[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]

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:

The answer is B. Two parallel lines lie in the same plane.

Step-by-step explanation:

The answer is Choice B

Step-by-step explanation:

Parallel lines never intersect

Lines that are skew don't have to intersect

Transversal lines intersect other lines

Answer:

French 17

German 35

Italian 38

total 90

French = 17/90 ×360 =68°

German = 35/90 ×360= 140°

Italian 38/90 ×360= 152°

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:

A. 350

B. (i) $686 (ii) 39 Hours

Step-by-step explanation:

Based on what's given..

A)

[tex]\sf S=B+8H[/tex]

[tex]\sf 710=B+8\times45[/tex]

[tex]\sf 710=B+360[/tex]

[tex]\sf B=710-360[/tex]

[tex]\boxed{\sf B= 350}[/tex]

B)

(i)

[tex]\sf S=350+8\times42[/tex]

[tex]\sf S=350+336[/tex]

[tex]\boxed{\sf S=686}[/tex]

(ii)

[tex]\sf 662=350+8H[/tex]

[tex]\sf 8H=662-350[/tex]

[tex]\sf H=312 \div 8[/tex]

[tex]\boxed{\sf H=39}[/tex]

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

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:

162m²

Step-by-step explanation:

distance from corner to center = 1/2 of the diagonal

all sides are equal, and this has 4 sides, so it is a square

9m = 1/2 of diagonal

multiply both sides by 2 to isolate the diagonal

18m = diagonal

area of square = length²

length * √2 = diagonal

given the diagonal, we can find the length and then the area

length * √2 = diagonal

divide both sides by √2 to find the length

18m/√2 = length ≈12.7

square the length to find the area

area = 162 m²

Answer:

the first one is a lie

Step-by-step explanation:

caf is more 45 degrees than 25

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{12 \times 10 \times 3}{3} [/tex]

[tex]v = 120 \: {ft}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 12 \times 10 \times 7[/tex]

[tex]v = 840 \: {ft}^{3} [/tex]

[tex]v = 120 + 840[/tex]

[tex]v = 960 \: {ft}^{3} [/tex]

pyramid:

lwh/2

=12×10×3/3

=120 ft^3

prism:

whl

=12×10×7

=840 ft^3

all together:

=960 ft^3

Answer:

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

Step-by-step explanation:

sequence add and subject

Answer:

y=x-3

Step-by-step explanation: