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SVETLANKA909090 [29]
3 years ago
9

Mary has taken 7 quizzes in her social studies course. She received the following grades on the quizzes: 94, 74, 78, 90, 85, 82,

78 Which statement about Mary's grades is true? A. The mean and median are equal. B. The mean and mode are equal. C. The median is 82 and the mode is 78. D. The mean is 83 and the median is 90.
Mathematics
2 answers:
Mumz [18]3 years ago
5 0
C) The median is 82 and the mode is 78.


You have to put them all in order first and calculate each one at a time. You should get mean- 83, mode-78, and median-82. All the other choices do not align with the answer.
Veronika [31]3 years ago
5 0
In order lowest to highest, Mary's grades are 
   74, 78, 78, 82, 85, 90, 94

The median grade is 82. The mode is 78 (2 grades).

The appropriate choice is ...
   C. The median is 82 and the mode is 78.


_____
The mean is 83, so statement A is false.
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A line has a slope of -2/3 and passes through the point (-3,8). What is the equation of the line?
LiRa [457]

Answer:

Step-by-step explanation:

We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.

We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.

y=mx+b\\8=-\frac{2}{3}*-3 +b\\8=2+b\\b=8-2\\b=6

Let's plug all of this back into the first equation y=mx+b.

y=mx+b\\y=-\frac{2}{3}x+6

That's the answer to this problem.

I hope this helps.

7 0
2 years ago
Read 2 more answers
The weight of
raketka [301]
1/10 of a pound or 1.6 ounces
8 0
3 years ago
The amount of money spent on textbooks per year for students is approximately normal.
Ostrovityanka [42]

Answer:a

a

   336.04    <  \mu < 443.96

b

  The  margin of error will increase

c

The  margin of error will decreases

d

The 99% confidence interval is  0.4107 <  p  < 0.4293

Step-by-step explanation:

From the question we are  told that

   The sample size  n =  19

    The sample mean is  \= x  = \$\  390

    The  standard deviation is  \sigma =  \$ \  120

 

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha = 100 -  95

          \alpha  =  5 \%

          \alpha  =  0.05

Next we obtain the critical value of \frac{\alpha }{2} from the normal distribution table

    So  

         Z_{\frac{\alpha }{2} } =  1.96

The  margin of error is mathematically represented as

      E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>    E = 1.96 *  \frac{120}{\sqrt{19} }

=>   E = 53.96

The 95% confidence interval is  

     \= x  -  E  <  \mu < \= x  +  E

=>   390  -   53.96   <  \mu < 390  -   53.96

=>  336.04    <  \mu < 443.96

When the confidence level increases the Z_{\frac{\alpha }{2} } also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

         n  \  \ \alpha  \ \  \frac{1}{E^2 }

So if the sample size increases the margin of error decrease

The  sample proportion is mathematically represented as

       \r p  =  \frac{210}{500}

       \r p  = 0.42

Given that the confidence level is 0.99 the level of significance is  \alpha =  0.01

The critical value of \frac{\alpha }{2} from the normal distribution table is  

      Z_{\frac{\alpha }{2} }  =  2.58

  Generally the margin of error is mathematically represented as

       E =  Z_{\frac{\alpha }{2} }*  \sqrt{ \frac{\r p (1- \r p )}{n} }

=>   E =  0.42 *  \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }

=>     E =  0.0093

The 99% confidence interval  is

     \r p  -  E <  p  < \r p  +  E

     0.42  -  0.0093 <  p  < 0.42  +  0.0093

     0.4107 <  p  < 0.4293

 

4 0
3 years ago
PLS HELP! URGENT!!!! A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the
krok68 [10]

Answer: Area of sidewalk is 217m²

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle

π is a constant whose value is 3.14

A circular flower bed is 20 meters in diameter.

radius = diameter/2 = 20/2 = 10 meters

Area of the flower bed = 3.14 × 10²

= 314m²

The circular flower bed has a circular sidewalk around it that is 3 meters wide. This means that the total diameter would be

3 + 20 + 3 = 26m

Radius = 26!2 = 13m

Total area = 3.14 × 13² = 530.66m²

Therefore, area of the sidewalk is

530.66 - 314 = 216.66

The area of sidewalk is 217m² to the nearest whole number

6 0
3 years ago
A science teacher has a supply of 5% hydrochloric acid and a supply of 65% hydrochloric acid(HC1). How much of each solution sho
Sphinxa [80]
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.

We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II

We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)


We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III

Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml

Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml

Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
6 0
3 years ago
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