What is the common ratio for the sequence 1, 4, 16, 64,..?

Answer:

We have the system of equations:

y=1/3x+5

y=2/3x+5

To solve it graphically, we need to graph both lines and see in which point the lines intersect.

You can see the graph below, and you can see that the lines intersect in the point (0, 5)

Now, we can also solve this analytically.

We can use the fact that for the solution, we need y = y.

Then we can write:

(1/3)*x + 5 = (2/3)*x + 5

First, we can subtract 5 in both equations to get:

(1/3)*x = (2/3)*x

This only has a solution when x = 0.

Replacing x = 0 in one of the equations, we get:

y = (1/3)*0 + 5 = 5

Then the solution is x = 0, and y = 5, as we already could see in the graph.

Solution :

The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.

Null hypothesis, [tex]$H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$[/tex]

That is the loaded die behaves as a fair die.

Alternative hypothesis, [tex]$H_a$[/tex] : loaded die behave differently than the fair die.

Number of attempts , n = 200

Expected frequency, [tex]$E_i=np_i$[/tex]

                                        [tex]$=200 \times \frac{1}{6} = 33.333$[/tex]

Test statistics, [tex]$x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $[/tex]

                            [tex]$=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$[/tex][tex]$\frac{(34-33.333)^2}{33.333}$[/tex]

≈ 5.8

Degrees of freedom, df = n - 1

                                       = 6 - 1

                                       = 5

Level of significance, α = 0.10

At α = 0.10 with df = 5, the critical value from the chi square table

[tex]$x^2_{\alpha}= \text{chi inv}(0.10,5)$[/tex]

     = 9.236

Thus the critical value is [tex]$x_{\alpha}^2=9.236$[/tex]

[tex]$P \text{ value} = P[x^2_{df} \geq x^2]$[/tex]

             [tex]$=P[x^2_5\geq 5.80]$[/tex]

             = chi dist (5.80, 5)

             = 0.3262

Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject [tex]$H_o$[/tex] at 10% LOS.

Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.

Answer:

11

Step-by-step explanation:

Since 4 is not 5 or higher you round down so it is just 11

Answer:

11.4

Step-by-step explanation:

Answer:

320 Customers took the survey

Step-by-step explanation:

Answer:

Step-by-step explanation:

144 is 45% of the total customers who took the survey.

Total customers who took survey= 144 × 100/45 = 320

Answer:

Step-by-step explanation:

178.54-35.65=142.89

then you do 142.89/12.99=11

She bought 11 CDs

Step-by-step explanation:

According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.

Applying the above rule to the numerators,we have 7^(8+3+4)=7^15

Applying to the denominators we have,

7^(9+5)=7^14

Now we have 7^15/7^14=7

Answer:

3

Step-by-step explanation:

Answer:

5) 2     7) 4

Step-by-step explanation:

3/5 x 25 = 15

15 - 1 = 14 / 7 = 2 = x

25     20

---  =  ----

40    7x+4

25 x 4/5 = 20

40 x 4/5 = 32

32 - 4 = 28 / 7 = 4 = x

Answer: it’s a 16.667% increase

Step-by-step explanation:

Because you increased from 15 to 18 which is 3 over a total of 18 now.

3/18=1/6=16.667%

Answer:

20%

Step-by-step explanation:

.15 is 1 percent of 15. .15 x 20 = 3. 15 + 3 = 18 PLS MARK ME BRAINLIEST

Answer:

x=13

Step-by-step explanation:

Answer:

When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.

Step-by-step explanation:

Hey now you can give me a brainliest for actually giving an answer haha :)

Answer:

the denominator

Step-by-step explanation:

So, say if you have 132 circles, and 5 are shaded in. That would be what 5 represents!

Hopefully, this helps! :D

Ask your question below.

Answer:constrictive intergers

Step-by-step explanation:

Answer:

[tex]140,141,142,143[/tex]

Step-by-step explanation:

[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]

Answer: C the set of all integers, the set of all rational numbers, and the set of all real numbers

Step-by-step explanation: The value of square root of 9 is ±3. This means that there two answers to square root of 9: 3 and -3.

As far as 3 is concerned, it is one of the elements of the natural number set. It is already known that natural numbers are also whole numbers, also integers, also rational numbers, and also real numbers.

As far as -3 is concerned, it is not a natural number since the set of natural numbers does not contain negative numbers. -3 is an integer. Which means that -3 is also a rational number and also a real number.

After identifying the common sets and taking the intersection of both the above classifications, it yields the set of all integers, the set of all rational numbers, and the set of all real numbers

Hopes this helps bro

Answer:

200 miles

Step-by-step explanation:

First have to find how many miles he drives in 1 hour. So, we divide 120 miles by 3 hours, since we assume that he managed to drive an equal amount in each hour.

120/3=40

This shows that Mr. Sanchez drove at a rate of 40 mph.

But, this isn't the answer. 40 miles is the distance for one hour of driving. To find the distance for 5 hours, we have to multiply the distance by 5 as well.

40 times 5=200

O 200 miles

120 ÷ 3

=

40

40 × 5

=

200

Hope I helped!!

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is 4

Answer:

y=-25x+15

Step-by-step explanation:

I just used the y=mx+b equation and plugged in the numbers we know by the graph.

Answer:

1362−271x/4

​

Step-by-step explanation:

STEP  1 :

Equation at the end of step 1

  (3/4 * (3x+6))-14*(5x-24)          

STEP  2 :

Simplify   3/4

Equation at the end of step  2 :

  3                

 (— • (3x + 6)) -  14 • (5x - 24)

  4                

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x + 6  =   3 • (x + 2)  

Equation at the end of step

4

:

 9 • (x + 2)    

 ——————————— -  14 • (5x - 24)

      4          

STEP

5

:

Rewriting the whole as an Equivalent Fraction

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

                     14 • (5x - 24)     14 • (5x - 24) • 4

   14 • (5x - 24) =  ——————————————  =  ——————————————————

                           1                    4          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9 • (x+2) - (14 • (5x-24) • 4)     1362 - 271x

——————————————————————————————  =  ———————————

              4                         4      

Final result :

 1362 - 271x

 ———————————

      4  

Answer:

Exact length = 2*sqrt(137)   cm

Approximate length = 23.409  cm

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

Work Shown:

Use the Pythagorean theorem

a^2 + b^2 = c^2

8^2 + 22^2 = c^2

64 + 484 = c^2

548 = c^2

c^2 = 548

c = sqrt(548)

c = sqrt(4*137)

c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)

c = 2*sqrt(137)  .... this is the exact length

c = 23.4093998214392 ... use your calculator to find the approximate length

c = 23.409

I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.

Answer: after 3 seconds

when  the ball hit the ground => - 5t² + 14t + 3 = 0

⇔ (5t + 1)(t - 3) = 0

⇔ t = 3 or t = -1/5

but t  is a positive integer => t = 3

so the ball will hit the ground after 3 seconds

Step-by-step explanation:

Answer: x = (4,0) (-5,0)

Step-by-step explanation: You Have To Use The 5 and the 4 to graph the points and since those were the only number They Stay At (4,0) and (-5,0)

Answer:12

Step-by-step explanation:

Answer:

B.The slope is approximately 1.33 and the y-intercept is 2.

Step-by-step explanation:

On the graph we are going based off where the line starts and in this case it starts on the y line and that shows our y-intercept is 2. The line also doesn't have a rate of change that is directly being put onto an intersecting point like (2,2) which would make it a decimal 1.33.

Answer:

B. The slope is approximately 1.33 and the y-intercept is 2.

Step-by-step explanation:

We can eliminate answers C and D because the y-intercept is 2.

The slop is approximately 1.33 because if we go over 1 unit, we must go up approximately 1.33 units to follow the line.

Answer:

1e+44

Step-by-step explanation:

Answer:

1e+44

Step-by-step explanation:

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

Answer:

1. X-intercept is 5    Y-intercept is 4    (Red Line)

2. X-intercept is 1    Y-intercept is 2    (Blue Line)

3. X-intercept is -2   Y-intercept is 4   (Green Line)

Step-by-step explanation:

DESMOS graphing calculator. Here is the graph showing my work:

Answer:

1)x⁴+x=14 (non linear)

2)5.3x+y=42 (linear)

Step-by-step explanation:

1)as it has only one variable

2)as it has more than one variable