Given m||n, find the value of x.
+
m
1579

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]

Answer:

It is the MEAN

Step-by-step explanation:

Mean, median and mode given in the question are all used to measure central tendency of a given data. From the sets of data given, and from the values of the mean, median and mode (8.8, 8.85 and 8.9 respectively) it can be summarized that these values points the center of the sets of data trying to estimate the average.

MEAN is the statistic that reflects a typical score because when we look at the data (8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2), it easily gives us the average score. Since mean = addition of the data value / the number of the data, it gives us Kathleen average score since it takes all the  judges scores into consideration giving us the typical score. Unlike mode that only use most occured data meaning it doen't use all the data and as such may not show the true average of the scores. Also, mode is not consistent when it comes to small number of data especially if no score occur most or we have more than one mode. It is not median because of the small number of scores (data).

Answer:

(6,0) and (0,-12) straight line graph

Step-by-step explanation:

Answer:

it is d

Step-by-step explanation:

Answer:

So the Correct Answer Is B.5    (T=5)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

T=5

Hope this helps!

Please mark Brainliest!

Answer:

−50=−10t

Answer:

t=5

Step-by-step explanation:

Steps-

switch sides- -10t = -50

divide both sides

-10t/-10 = -50/-10

Simplify

T=5

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:

https://brainly.com/question/10528201?referrer=searchResults

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Answer:

107

Step-by-step explanation:

2675 ÷ 25 = 107

Answer:

107 haircuts

Step-by-step explanation:

25x [tex]\geq[/tex] 2,675

25x/25  [tex]\geq[/tex] 2,675/25

x [tex]\geq[/tex] 107

Answer:

the last one

Step-by-step explanation:

You need make the same denominator

9 = 3*3

6 = 3*2

it follows that 3 *3 *2 is the simplest denominator

the fraction with the 6 needs to be multiplied by 3/3 and the one with 9 with 2/2

Answer:

206

Step-by-step explanation:

233 - 27 = 206

Answer:

The total cost is 49.59 the answer for the second question is 10.16

Step-by-step explanation:

Part A. self explanatory, i just added all of the pieces together and got 49.59.

Part B. I just solved the expression 20.75 - 10.59 and got 10.16.

Answer:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

Answer:

x=e ​1.6−2.8

Step-by-step explanation:

Answer:

[tex]the \: equation \: of \: the \: statement \: is : \\ 5 {x}^{2} - 28x = 2500[/tex]

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:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

Answer:

0.18 g

Step-by-step explanation:

Weight of honeybee = [tex]1.2\times 10^{-1}\ \text{g}[/tex]

Weight of pollen = [tex]6\times 10^{-2}\ \text{g}[/tex]

The above values can be written in the following ways

[tex]1.2\times 10^{-1}\ \text{g}=0.12\ \text{g}[/tex]

[tex]6\times 10^{-2}\ \text{g}=0.06\ \text{g}[/tex]

Weight mass = [tex]0.12+0.06=0.18\ \text{g}[/tex]

The combined weight of the honeybee and the pollen is 0.18 g.

Answer:

1.8 x 10^-1

Step-by-step explanation:

it would be 0.18 withought scientific notation.

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:

none are correct. The correct answer is x= 3 3/8

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Step 1: Define

1÷2/3 ? 1

Step 2: Evaluate 1÷2/3

1÷2/3 = 1 · 3/2 = 3/2

3/2 = 1.5

Step 3: Find

1.5 ? 1

1.5 > 1

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:

Step-by-step explanation:

If Samantha's earnings continue to increase at the same rate, this means that her earning is increasing arithmetically.

If she earned $550 in the first day, we can say the first term is $550

If she earned $750 on the third day, we can say the third term is $750

For us to know by how much her money is increasing, we need to find the common difference d formed by the sequence

550, x , 750

T1 = 550

T2 = x

T3 = 750

Common difference d = T2-T1 = T3-T2

x - 550 = 750 - x = d

Let's calculate the second term first i.e x

Since x - 550 = 750 - x = d

x - 550 = 750 - x

Collect like terms

x+x = 750+550

2x = 1300

x = 1300/2

x = 650

d = T2-T1

d = x - T1

d = 650-550

d = 100

Hence her money keeps increasing by $100 each day

Answer:

1300

Step-by-step explanation:

add the S numbers than add the T number than there is your answer

Answer:

difference between irrational and rational numbers:

Rational numbers: They are numbers which can be expressed in the form of p/q and q is not equal to 0

Examples: 3=3/1 ,  0=0/1 , 17=17/1

Irrational Numbers:  They are numbers which cannot be expressed in the form of p/q where q is not equal to 0

Example: Root 2, 1. 1517825278235............... , 45.87812254.............

this is the major difference between irrational and rational numbers.

THERE ARE STILL MORE BUT THIS IS THE BASIC DIFFERENCE.

Answer:

Step-by-step explanation:

5.

a+2=b

b-5=c

c-3=d

d+4=e

e=2-5-3+4

e=-2 (a loss of 2 yards)

6.

-2+2.5=0.5

Answer:

the unit rate would be 16 books per shelves because 64/4 would equal 16:)

Step-by-step explanation:

Answer:

The answer is 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 5/12

Answer:

See explanation

Step-by-step explanation:

For every question that comes your way, the first step is to understand the question.

The next, is to convert the word problems into algebraic expressions.

Lastly, you solve the expression accordingly.

Take for instance.

Ade has half a dozen eggs. How many dozen does Ade have?

We understand that; half means ½ and a dozen means 12.

So, the expression is

½ * 12 = 6 eggs