A teacher assigns 5 points for a correct answer and -2 points for an incorrect answer and 0 points for leaving the questioned unanswered. What is the score for Mohit who had 22 correct answers and 15 incorrect answers and 7 unanswered questions?

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:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

Answer:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

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: 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:

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:

206

Step-by-step explanation:

233 - 27 = 206

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:

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

Answer:

it is d

Step-by-step explanation:

Answer:

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

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:

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 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:

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:

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:

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;

brainly.com/question/3605446

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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:

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

Answer:

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

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:

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:

The answer is 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 5/12

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:

x=e ​1.6−2.8

Step-by-step explanation:

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

Plz click thanks and give this question a 5 star rating if it is correct. Thx!

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:

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