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3 years ago

Describe the patterns below in words: a) 1, 4, 9, 16, 25... b) 1, 2, 4, 7, 11...

2 answers:

7 0

A)Add 3 and the continue to add 2 more to three each time to get the next number
B)add 1 and add one to the number one each time to get the the next number

vivado [14]3 years ago

4 0

A)1+3=4+5=9+7=16+9=25
The pattern is that you have to add odd numbers so you can keep getting the answers(Example:1st-+3,2nd-+5,3rd-+7,4th-+9)

b)1+1=2+2=4+3=7+4=11
The pattern is that you have to add #'s 1 to so on so you can keep getting the answers (Example:1st-+1,2nd-+2,3rd-+3,4th-+4,& etc.)

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A polling organization announces that the proportion of American voters who favor congressional term limits is 64%, with a 95% c

EastWind [94]

Answer:

Hence when C.I. is 80% then Margin of error will be 1.9591%

Step-by-step explanation:

Given:

1st Margin of error(MOE)=3%

1st C.I.=95%

2nd C.I.=80%

To Find:

MOE at 80%

Solution:

The proportion is 64 % i.e. is constant for both MOE

Proportion is given by (P),

P=x/n

Where x= favors congressional terms

n= total voters or sampled voters.

There values are same or constant.

i.e standard deviation is also constant

Now Formula for MOE is given by

$MOE=Z*[Standard devation/Sqrt(n)]$

here Z is value for confidence interval

MOE is directly proportional to the Z-value

$MOE=K*Z-value$ ... where k is proportionality constant.

$MOE/Z-value$ ....ratio is constant

So , for 95 % Z=1.96 and for 80% Z=1.28

$MOE(1st)/(Z-value 1st)=MOE(2nd)/(Z-value 2nd)$

$3/1.96=MOE(2nd)/1.28$

$MOE(2nd)=(3/1.96)*1.28$

$MOE(2nd)=1.5306*1.28$

$=1.9591$ %

5 0

3 years ago

For questions 8 – 14, use the following functions:

pogonyaev

we are given

$f(x)=5$

$g(x)=\sqrt{x+2}$

(8)

$(f+g)(x)=f(x)+g(x)$

we can plug it

$(f+g)(x)=5+\sqrt{x+2}$

(9)

$(f-g)(x)=f(x)-g(x)$

we can plug it

$(f-g)(x)=5-\sqrt{x+2}$

(10)

$(f*g)(x)=f(x)*g(x)$

we can plug it

$(f*g)(x)=5\sqrt{x+2}$

(11)

$(\frac{f}{g} )(x)=\frac{f(x)}{g(x)}$

we can plug it

$(\frac{f}{g} )(x)=\frac{5}{\sqrt{x+2}}$

(12)

$(\frac{g}{f} )(x)=\frac{g(x)}{f(x)}$

we can plug it

$(\frac{g}{f} )(x)=\frac{\sqrt{x+2}}{5}$

(13)

$(fog)(x)=f(g(x))$

$f(x)=5$

we can replace g(x)

we get

$(fog)(x)=5$

(14)

$(gof)(x)=g(f(x))$

$f(x)=5$

we can replace f(x)

$(gof)(x)=\sqrt{f(x)+2}$

we get

$(gof)(x)=\sqrt{5+2}$

$(gof)(x)=\sqrt{7}$

8 0

3 years ago

Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of hi

Sergio [31]

32 Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of his money on food, 23% on

5 0

3 years ago

RS 40 as a percent of RS 25 with step by step solution

gregori [183]

Answer:

Step-by-step explanation:

Solution for What is 25 percent of 40:

25 percent * 40 =

(25:100)* 40 =

(25* 40):100 =

1000:100 = 10

Now we have: 25 percent of 40 = 10

Question: What is 25 percent of 40?

Percentage solution with steps:

Step 1: Our output value is 40.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$40=100\%$.

Step 4: Similarly, $x=25\%$.

Step 5: This results in a pair of simple equations:

$40=100\%(1)$.

$x=25\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{40}{x}=\frac{100\%}{25\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{40}=\frac{25}{100}$

$\Rightarrow x=10$

Therefore, $25\%$ of $40$ is $10$

4 0

3 years ago

4x + 8y = 20 and -4x + 2y = -30

Ainat [17]

Step-by-step explanation:

Given :-

4x + 8y = 20
-4x + 2y = -30

Adding the equations :-

$: \implies$ 10y = -10

$: \implies$ y = -1

Put it (i) :-

$: \implies$ 4x - 8 = 20

$: \implies$ 4x = 20 + 8

$: \implies$ 4x = 28

$: \implies$ x = 28/4

$: \implies$ x = 7

4 0

3 years ago