The 8th term in the arithmetic sequence is 17, the 12th term is 25. Find the first term, and the sum of the first 20 terms.

Answer: (a)

Step-by-step explanation:

Given

There are 5 squads for an athletic scrimmages

If each team played 2 matches

Total no of matches will be

[tex]\Rightarrow \dfrac{5(5-1)}{2}\times 2=20\ \text{matches}[/tex]

So, 20 matches are played in 2 hours

Each match takes

[tex]\Rightarrow \dfrac{120}{20}=6\ \text{minute}[/tex]

Option (a) is correct.

Answer:

Red on the 5th draw = 0.0907

Step-by-step explanation:

The first to fourth selections are all the same.

Blue + white = 12 + 6 = 18

The total number of marbles is 11 + 12 + 6 = 29

P(~ red) for the first four times = (18/29)^4 = 0,1484

Now on the 5th time, the first red is 11/18

So the Probability is 0.1484 * 11/18 = 0.0907

Answer: See Below

Step-by-step explanation:

Concept:

Here, we need to know the idea of alternative interior angle, alternative exterior angle, and corresponding angles.

Alternative interior angle: a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternative exterior angle: a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Corresponding angle: A pair of angles that occupy the same relative position at each intersection where a straight line crosses two others.

All three kinds of angles above occur to be congruent (equal) when the lines are parallel to each other.

If you are still confused, please refer to the attachment below for a graphical explanation

Solve:

PART ONE

a) Name two pairs of alternative exterior angles: ∠1 and ∠7 / ∠2 and ∠8

b) Name two pairs of corresponding angles: ∠1 and ∠5 / ∠2 and ∠6

c) Name two pairs of alternative interior angles: ∠4 and ∠6 / ∠3 and ∠5

PART TWO

a) If the measure of angle 7 is 52°, what is the measure of angle 1?

b) If the measure of angle 8 is 112°, then what is the measure of angle 3?

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a) IQ scores of 94.2 and below represent the bottom 35%.

b) An IQ score of 110.1 represents the 3rd quartile.

c) IQ scores of 124.7 and higher are in the top 5%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that [tex]\mu = 100, \sigma = 15[/tex]

(a) Find the IQ scores that represent the bottom 35%.

The 35th percentile and below, in which the 35th percentile is X when Z has a p-value of 0.35, so X when Z = -0.385.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.385 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = -0.385*15[/tex]

[tex]X = 94.2[/tex]

IQ scores of 94.2 and below represent the bottom 35%.

(b) Find the IQ score that represents the 3rd Quartile.

This is the 100*3/4 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 0.675*15[/tex]

[tex]X = 110.1[/tex]

An IQ score of 110.1 represents the 3rd quartile.

(c) Find the IQ score for the top 5%.

IQ scores of at least the 100 - 5 = 95th percentile, which is X when Z has a p-value of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 1.645*15[/tex]

[tex]X = 124.7[/tex]

IQ scores of 124.7 and higher are in the top 5%.

Answer:

The number that comes after 144five is:

= 200five.

Step-by-step explanation:

Adding 1 to 144 base 5 will result in:

144

+  1

= 200

b) To obtain the next number that comes after 144five, add 1five to 144five.  Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward.  When 1 is added to the next 4, the result will be 0 with 1 carried backward.  1 added to 1 = 2, all in base 5.  Figures in base 5 cannot exceed 4.  The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.

9514 1404 393

Answer:

  110°

Step-by-step explanation:

The sum of angles of a triangle is 180°.

  (8x -10) +(2x) +(3x -5) = 180

  13x -15 = 180

  13x = 195

  x = 15

The largest angle is ...

  8x -10 = 8(15) -10 = 110 . . . . degrees

Answer:

.

e

Step-by-step explanation:

.

Economists found that amount of corruption in a country is correlated to the Gross domestic products of the country.

Whenever there is high corruption in a country it leads to great negative impacts on the economic growth of that country.

The equation represents the the corruption score for every dollar per capita rise.

The slope of the equation will represent the GDP per capita of a country with corruption score of zero.

The correct answer is C.

C. The GDP per capita of a country with a corruption score of zero.

Answer:

m = 20 * n

Step-by-step explanation:

The money that he earns is equal  the amount earned per lawn times the amount of lawns that he mows

m = 20 * n

Answer:

60 = 3 x 20

Step-by-step explanation:

60 = m

3 = c

20 = n

Answer:

[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]

[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]

[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]

[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]

[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]

[tex]x=4\sqrt{15}[/tex]    [tex]y=4\sqrt{15}[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

same as the person above plato 2022'

Answer:

The first difference is -5. The next term is -31.

Step-by-step explanation:

If you find the difference between -6 and -11, then you get -5.

And, all the other ones also have differences of -5, so basically, the next term is -31.

Thanks! Please mark me Brainliest!

Answer:

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

Explanation:

Pick any term and subtract off the previous term

No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.

If this pattern keeps up forever, then the sequence is arithmetic.

And if the pattern keeps up, then the next term would be

term6 = term5 + (common difference)

term6 = -26 + (-5)

term6 = -31

Note: Adding -5 is the same as subtracting 5.

Answer:

4

Step-by-step explanation:

Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.

Answer:

There are two points of intersection

(-4,1) and (1,-4)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

Answer:

648 is the sum of consecutive prime numbers 317 and 331.

The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.

From Archimedes-lab.org I learned some powerful facts about the number 648:

16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648

48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648

(1^2)(2^3)(3^4) = 648

18² + 18²  = 648

(6^3) + (6^3) + (6^3) =648

REPORT THIS AD



Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12

—————————————————————————————————

648 is a composite number.

Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)

The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.

Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27

Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…

Answer: 262144

Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.

262144 if I'm correct....

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

Answer:

SURE

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.

You may need to delete the dollar sign and/or the comma when typing in the answer.

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

Work Shown:

[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]

Side note: the 'e' is a special constant roughly equal to 2.71828...

Answer:

Julio's gross income before the tax deductions is $ 405.

Step-by-step explanation:

Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:

547 - 142 = X

405 = X

Therefore, Julio's gross income before the tax deductions is $ 405.

Answer:

False, false

Step-by-step explanation:

I’m not 100% sure but I think that’s the correct answer

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]

[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]

[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]

[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]

Answer:

732 samples ;

752 samples

Step-by-step explanation:

Given :

α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42

Using the relation :

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.58 * 0.42) / 0.03²

n = 0.65918769 / 0.0009

n = 732.43076

n = 732 samples

B.)

If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.5 * 0.5) / 0.03²

n = 0.67650625 / 0.0009

n = 751.67361

n = 752 samples

9514 1404 393

Answer:

  (c)  Yes, SSS

Step-by-step explanation:

The three pairs of corresponding sides have the same ratio:

  12/8 = 15/10 = 21/14 = 3/2

The triangles are similar by SSS.

_____

No angles are shown, so SAS and AAA cannot apply.

shining dnkxdvsuxnxkjdndnx

Answer:

Hence the probability that she paid cash is  0.105

Step-by-step explanation:  

P(cash) = 0.3  

P(credit card ) = 0.3  

P(debit card ) = 0.4  

P ( more than $50 | cash ) = 0.2  

P (more than $50 | credit card ) =0.9  

P (more than $ 50 |debit card ) = 0.6  

P ( more than $50) = P ( more than $50 | cash )* P (cash) + P (more than $50 credit card ) * P(credit card ) + P (more than $ 50 |debit card )* P(debit card )  

= 0.2 * 0.3 + 0.9 * 0.3 + 0.6* 0.4  

= 0.57  

P ( more than $50) = P ( more than $50 | cash )* P (cash) / P ( more than $50)  

= 0.2* 0.3 / 0.57  

= 0.105

Answer:

70 shovels of gravel, and 21 shovels of cement.

Step-by-step explanation:

35/5 = 7.

10 x 7 = 70, which is the number of shovels for gravel.

3 x 7 = 21, which is the number of shovels for cement.