The common difference of the arithmetic sequence

Answer:

21 games

Step-by-step explanation:

Multiply the number of games by the percentage.

35 · 0.60 = 21

Step-by-step explanation:

Sorry I cant get any more answers but I really hope that this helps

Answer:

(x+3/4)(x+1)

Step-by-step explanation:

you can learn this in algebra 2

plz brainliest!

Answer:

4(x - 3)(x^2 + 3x + 9)

Step-by-step explanation:

4x^3 - 108 = 4(x^3 - 27), or

                    4(x^3 - 3^3), or

                     4(x - 3)(x^2 + 3x + 9)    

We could choose to let 4 represent the height of the prism, x - 3 the width and x^2 + 3x + 9 the length.

Answer: The expected value is 12.44

Step-by-step explanation:

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 3 possible outcomes:

x₁ = 8

x₂ = 6

x₃ = 24

And pₙ is the probability of the n-th event.

For the case of the spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 8, the angle is a right angle, then it is equal to 90°, then the probability of this event will be:

p₁ = 90°/360° = 0.25

For outcome = 24, we have an angle of 120°, then the probability for this event is:

p₃ = (120°/360°) = 0.33

And the angle for the third arc must be such that:

90° + 120° + A = 360°

then:

A = 360° - 90° - 120° = 150°

Then the probability for the outcome = 6 is:

p₂ = (150°/360°) = 0.42

Now we can find the expected value as:

EV = (8*0.25 + 6*0.42 + 24*0.33) = 12.44

Answer:

(a)

Step-by-step explanation:

The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.

Answer:

Step-by-step explanation:

The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

Answer:

Step-by-step explanation:

the word inverse refers to the opposite of another operation.

The inverse of the function f is denoted by f -1.

If you found my answer useful then mark me brainliest.

Answer:

=3x−5y

Step-by-step explanation:

Answer: =3x−5y

Step-by-step explanation:

Answer:

.3988 .

Step-by-step explanation:

We shall use Binomial distribution formula in the problem .

n = 103

The probability that a passenger will not miss the flight and show up = .97

The probability that a passenger will miss the flight = .03

n = 103 ,

probability of showing up  101 , 102 and 103 passengers so that at least 1 passenger will return or bump .

= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³

103 x 102 /2  .97¹⁰¹ .03² + 103  .97¹⁰² .03 + .97¹⁰³

= 5253 x .046 x .0009 + 103 x .00134 + .0434

= .2174 + .1380 + .0434

= .3988 .

The probability that the airline will have to bump at least one passenger is; 0.3988

Probability that the travelers did not show up for the flight is; q = 3% = 0.03

Probability that they will show up for the flight is; p = 97% = 0.97

P(X = r) = nCr × p^(r) × q^(n - r)

Thus, the probability that the airline will have to bump at least one passenger is;

(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)

>> 0.2174 + 0.1380 + 0.0434

>> 0.3988

Read more on binomial probability at; https://brainly.com/question/15246027

[tex]\huge\underbrace\red{Answer}[/tex]

Perimeter of the square = 4 × side

By substituting values,

⇒ 4 × 70m

➥ 280m

Perimeter of the rectangle = 2( length + Breadth)

By substituting values,

⇒ 2( 90m + 60m )

⇒ 2( 150m)

➥ 300m

Difference between perimeters of fields = Perimeter of Rectangular field - perimeter of square field

By substituting values,

⇒ 300m - 280m

➠ 20m

Answer:

diameter =2xradius

diameter=2x4

diameter =8cm

Answer:8cm

Step-by-step explanation:

Answer:

a)  p*n =  46     and  q*n  =  454 data is enough for inference

b) CI =  (   0,099 ;  0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀  we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀  =  12 %    p₀ = 0,12

The State University sample:

Sample size   n  = 500

Sample proportion   46   out of 500      

p  =  46/500     p =  0,092     then    q =  1- p   q  =  1 - 0,092    q = 0,908

Both    p*n =  46     and  q*n  =  454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90%   CI = 0,9     significance level  α = 0,10  for an CI we need

α/2   =  0,10/2      α/2 = 0,05

z(c)  =  - 1,64     ( from  z-table)

MOE  =  z(c)*√(p*q)/n

MOE  =   1,64 * √ ( 0,092*0,908)/500

MOE  =  1,64 *√0,08353/500

MOE  =  1,64 * 0,0129

MOE  = 0,021

Then  CI = 90 % is:

CI  =  (  0,12 -  0,021   <  P  <  0,12 + 0,021 )

CI =  (   0,099 ;  0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis                        H₀             p  =  p₀

Alternative Hypothesis            Hₐ             p < p₀

we have  for  α = 0,1     z(c)  =  - 2,32  from z table

And  z(s)  = ( p  -  p₀  ) /  √ (p*q)/n

z(s)  = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s)  =  - 0,028 / 0,0129

z(s)  =  - 2,17

Comparing  z(s)  and  z(c)  we see that

|z(s)| < |z(c)|

So  z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

Answer:

x=143

Step-by-step explanation:

scale factor (if that is the correct term) is 13. you find that by matching sides to side. this means that 91/7=13, therefore you know that 4*13 is 52 and 11*13 is 143

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Multiply the top by -2 and just cross elimination the rest. Hope this helps.

Answer:

Step-by-step explanation:

1) it is not this answer because you cant order 13.86 sandwiches. it has to be a whole number.

2) Not this answer. If he bought 14 sandwhichs hed have to pay 83.86 and he doesnt have 36 cents xtra.

3) He CAN order 12 sandwhiches. if he has $83 and if you bought twelve sandwiches he would spend $71.88 which is still within the range he can buy from.

4) He CANNOT order .5 of a sandwhich so i wouldnt select this one.

5) He CAN order 2 sandwhiches. he has enough money for that

6) he CANNOT order negative amount of sandwhiches.

Answer:

5

Step-by-step explanation:

when dividing number by fractions,we can simply multiply the number by the reciprocal of the decimal

so,4÷1/5=4 ×(reciprocal of 1/5 )

A reciprocal of a number is the same no.written under 1 aka.1divided by that number which simply is flipping

numerator and denominator .

reciprocal of 1/5 is 5/1 =5

so 4÷1/5 = 4×5

so answer is 5

hope this is helpful

Answer:

- 5 / 7

Step-by-step explanation:

1 - 6 = - 5

4 - - 3 = 7

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

Answer:

Step-by-step explanation:

n≤-2

n≥-4

or -4≤n

combining

-4≤n≤-2

Answer:

I think you multiply its height by its width for the area, the volume= LXWXH.

Step-by-step explanation:

Step-by-step explanation:

First , Split the given shape into two parts : Trapezium and rectangle :

Here , 18 m and 11 m are the opposite parallel side and (15-8) = 7m is the height of the trapezium.

[tex] \boxed{ \sf{Area \: of \: trapezium = \frac{1}{2} h(a + b)}}[/tex]

⤑ [tex] \tt{ \frac{1}{2} \times 7(18 + 11})[/tex]

⤑ [tex] \sf{ \frac{1}{2} \times 7 \times 29}[/tex]

⤑ [tex] \sf{101.5 \: {m}}^{2} [/tex]

Area of trapezium = 101.5 m²

In rectangle , 18 m is the length and 8 m is the width.

[tex] \boxed{ \sf{Area \: of \: a \: rectangle = l \times w}}[/tex]

⤑ [tex] \sf{18 \: m \: \times 8 \: m}[/tex]

⤑ [tex] \sf{144 \: {m}}^{2} [/tex]

Area of a rectangle = 144 m

Now , Finding total area of given shape :

[tex] \boxed{ \sf{Total \: area = Area \: of \: trapezium + area \: of \: a \: rectangle}}[/tex]

⤑ [tex] \sf{101.5 \: {m}^{2} + 144 \: {m}}^{2} [/tex]

⤑ [tex] \sf{245.5 {m}}^{2} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⇾ \: Our \: final \: answer : \boxed{ \underline{ \tt{245.5 \: {m}^{2} }}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

B) 5.625 inches

Step-by-step explanation:

Answer:

(9/2, 4/3) or just x = 9/2, y = 4/3. (it's the same thing)

Step-by-step explanation:

First, multiply the first equation 2x + 3y = 13 by 2, so that you get 4x + 6y = 26. Now you have the same coefficient for y. Now, subtract the second equation 6y = 8 (i simplified it first) from the first one that is doubled. After that, you would have just one equation, 4x = 18. So x = 18/4 = 9/2. Substitute x to solve for y, and you'd get 4/3.

9514 1404 393

Answer:

  (x, y) = (-6, 8 1/3)

Step-by-step explanation:

The system of equations appears to be ...

Dividing the first equation by 2 gives ...

  3x +3y = 7

Subtracting the first equation from this, we get ...

  (3x +3y) -(2x +3y) = (7) -(13)

  x = -6

Then substituting for x in the first equation, we have ...

  2(-6) +3y = 13

  3y = 25 . . . . . . . . add 12

  y = 25/3 = 8 1/3 . . . . divide by 3

The solution is (x, y) = (-6, 8 1/3).

Answer:

A=10 cm

B=5 cm

Area of square = 25 cm

Step-by-step explanation:

Since that is an equilateral triangle based off the fact that all the sides are the same variable (a) then that means 30 divided by 3 which equals 10. So now we know that a = 10. Lets input that information for the rectangle. Since there are 2 a's that equals 20 and the perimeter is 30 so b has to be 5 since 5 times 2 is 10 plus 20 equals 30. so now we know that a=10 and b=5 so our squares sides are all 5. The area of the square is 25

Answer:

I think the slope is -20/17 hope this helps

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]