The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile, puts $40 each week into her savings account. If they both begin with $0, who is saving at the greater rate?

Answer:

The probability is [tex]P(|p-\^{p}| >  0.03)  =   0.0040[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p =  0.07[/tex]

   The mean of the sampling distribution is   [tex]\mu_p =  0.07[/tex]

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

     [tex]\sigma_p  =  \sqrt{\frac{p (1 -p)}{n} }[/tex]

=>    [tex]\sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]    

=>    [tex]\sigma_p  =  0.010416 [/tex]    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      [tex]P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )[/tex]

Now  add p  to  both side of the inequality

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )[/tex]

Now  converting the probabilities to their respective standardized score

=> [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )[/tex]

=> [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]

From the z-table  

       [tex]P(Z \le 2.88)  =  0.9980[/tex]

and

       [tex]P(Z \le -2.88)  = 0.0020[/tex]

So

     [tex]P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020][/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =   0.0040[/tex]

1/8k + 80 = 1/2k + 120

Step 1: Subtract 1/2k from both sides.

1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k

-3/8k + 80 = 120

Step 2: Subtract 80 from both sides.

-3/8k + 80 - 80 = 120 - 80

-3/8k = 40

Step 3: Multiply both sides by 8/(-3).

(8/-3) x (-3/8k) = (8/-3) x (40)

Answer: k = -320/3 or −106.667

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Answer:

write the following shaded amount as a decimal.

Step-by-step explanation:

the answer will be 1.56 because the whole first block is 100 so think about it as 1.00. the other block only has 56 shaded so 0.56 all u have to do is put it together 1.00 + 0.56= 1.56. first just count all the blocks in one then go on to the other block then u can go on to the next step.

Step-by-step explanation:

Answer:

its 180.... that's the answer

Answer:

it is 80 + 64

Step-by-step explanation:

All you have to do is multiply 8 by the numbers inside the parenthesis

Answer:

y - 4 = -5/6(x + 6)

Answer:

y-4=3/2(x+4)

Step-by-step explanation:

Answer: 12.63 rounded to 13 and 3.28 rounded to 3 the perimeter is 32

Step-by-step explanation: If you need any more help Im

usually available between 9a.m - 3:50 pm

Answer

Part A: C

Part B: B

Part C: 15.91

Step-by-step explanation:

first round the 2 numbers by the tenths. Then round the numbers by ones(whohle number). After that, since ther are four sides we do 12.63 + 3.28 + 12.63 + 3.28 which equals to 15.91.

Answer:

Y=7/5x+8

Is the answer to question don't ask me how I know I cheated

The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

We have an equation,

7x-5y=-30

Simplifying,

y = 7x/5 + 30/5

y = 7x/5 + 6.

The general formula of line parallel to a given line is,

y = 7x/5 + b, where b is the y-intercept of the line.

Therefore, y = 7x/5 + b is the required line.

To learn more about the slope;

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Answer:

-1/2

Step-by-step explanation:

(h, k) --> point

m ---> slope

y - k = m (x - h)

Answer:

-1/2

Step-by-step explanation:

I got it right on EDGE

Answer:

y= -7/8x – 1

Step-by-step explanation:

Answer:

[tex]S(h)=16h+46[/tex]

Step-by-step explanation:

We just need to substitute the variables here! You already have the equations so instead of [tex]x[/tex] for hours, we use [tex]h.[/tex] And since it's a function the result is not [tex]y[/tex] but rather [tex]S(h)[/tex].

So we get the answer of: [tex]S(h)=16h+46[/tex]

Answer:

3.2 0w0, hope this helps!

Step-by-step explanation:

I did this before

The mean absolute deviation of kai's test scores is 3.2.

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

According to the given question

We have

the given data 92, 88, 90, 96, 84

For calculating mean absolute deviation

we will first calculate mean

mean = [tex]\frac{92+88+90+96+84}{5} =\frac{450}{5} = 90[/tex]

Now we will calculate the distance between each data point and the mean :

Add the distances together

2+2+0+6+6 = 16

Divide the sum by number of data points.

MAD( mean absolute deviation ) = [tex]\frac{16}{5} =3.2[/tex]

Hence, the mean absolute deviation of Kai's test scores is 3.2.

Learn more about the mean absolute deviation here:

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Answer:

6 hours : 1 book

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Answer:

5 x plus 50 I think but you ate right about it

Answer:

1. I think the answer is 5/50 I’m currect

Answer: The slope is 3/2  or 1.5

Step-by-step explanation:

The line is going through the origin meaning that the slope will be the coordinate of one of the points divided by its y coordinate.  

One point that can be found on the line is  (2,3)

Divide the y coordinate by the x coordinate to find the slope.

The y coordinate is 3 and the x coordinate is 2.

3/2 = 1.5

The slope is 3/2  or 1.5.

Answer:

14.21

Step-by-step explanation:

It's actually 14.21 on A p E x

Answer:

1. 7 and 8

2. Pi so the second one

3. between the square root of 6 and the square root of 25

4. the only one left, which is the top one. I am in honors algebra. TRUST ME BROS

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean = Sum of all values/ total no of data

[tex]\frac{61+38+40+53}{4} \\\\= \frac{192}{4} \\\\=48[/tex]

Answer:

206

Step-by-step explanation:

233 - 27 = 206

Answer:

it is d

Step-by-step explanation:

Answer:

25/30

Step-by-step explanation:

simplify 25/30 by dividing both number by 5, and you'll get 25/5 = 5 and 30/5 = 6;

Hence 25/30 is the same as 5/6 proportionally

Answer:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

Answer:

123324

Step-by-step explanation:

Question attached

Answer and explanation:

Please find answer and explanation attached

Answer:

6 by 12

Step-by-step explanation: Khan Academy

Answer:

He can buy 5

Step-by-step explanation:

To find the answer, you have to do divide 3.50 and 20. You get 5.714285714. You can't round up, since you are dealing with money, so round down to 5.

Hope this helps :)

Step-by-step explanation:

One action figure can be shown as x so x=$3.50.

Sergio has $20.00 so the equation is 20.00÷3.50 = number of x's Sergio can buy.

20÷3.50 =5 2.5/3.5

So x=5 2.5/3.5

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