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Bogdan [553]
4 years ago
8

A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have

an average of 82​? 85​, 90​, 79​, 72
Mathematics
2 answers:
Stolb23 [73]4 years ago
7 0

Answer:

84

Step-by-step explanation:

Because average is basically the mean, so i used a mean calculator and put in the four grades (numbers) and got an average of 81.5, so then i kept putting an additional other number in and wasn't getting 82, until i put in 84 and all of those numbers together gave me an average of 82.

valentina_108 [34]4 years ago
3 0

Answer:

84

Step-by-step explanation:

The average is found by adding all the scores together and dividing by the number of scores

Let the unknown score be x

(85+90+79+72+x) /5 = 82

Multiply each side by 5

(85+90+79+72+x) /5*5 = 82*5

(85+90+79+72+x)  = 410

Combine like terms

326+x = 410

Subtract 326 from each side

326+x-326 = 410 -326

x =84

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N
MariettaO [177]

Answer:

0.7969

Step-by-step explanation:

Given that: A sample of size n= 49 is obtained. The population mean  is m= 80 and the population standard deviation is s = 14.

The z score measures the number of standard deviation by which the raw sore is above or below the mean. It is given by the equation:

z=\frac{x-m}{\frac{s}{\sqrt{n} } }

For x = 78.3, the z score is:

z=\frac{x-m}{\frac{s}{\sqrt{n} } }=\frac{78.3-80}{\frac{14}{\sqrt{49} } } =-0.85

For x = 85.1, the z score is:

z=\frac{x-m}{\frac{s}{\sqrt{n} } }=\frac{85.1-80}{\frac{14}{\sqrt{49} } } =2.55

P(78.3<x<85.1) = P(-0.85<z<2.55) = P(z<2.55) - P(z<-0.85) = 0.9946 - 0.1977 = 0.7969

7 0
4 years ago
Read 2 more answers
49x - 21y = -1,470<br><br> put in slope intercept form
Paul [167]

Answer:

Slope intercept form:

<em>y = mx + b</em>

What we are given:

49x - 21y = -1,470

we need to keep y on the left side so we subtract 49x from both sides;

-49x            -49x

-21y = -49x - 1,470

we need to make y one so we divide by -21 from both sides;

÷-21                ÷-21

y = -49x/-21 - 70

which simplifies to

y = 7x/3 - 70

5 0
2 years ago
How many solutions does the following equation have? 4(y-30)=4y+12
kramer

Answer:

there are 2 sullotions of doing this question

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Ricardo lost 6 golf balls while playing yesterday he bought a box of twelve golf balls and lost 4 on the course today he now has
umka2103 [35]
16 balls. 

Let's call x the total number of golf balls that Ricardo had before he lost the first 6 balls. (x - 6).
Then he bought 12 more and lost 4 so basically 12 - 4 = 8
Add that to the equation: (x-6) + 8
And now that he has 18 golf balls at end of the second day the total must add to 18.

Full equation: (x-6) + 8 = 18

(x-6) + 8 = 18
(x-6) = 18 - 8 <-- Transpose
(x-6) = 10
16 - 6 = 10 <-- What would x have to be inoder to make this equation true? 16!
So x = 16

16 is the number of golf balls the Ricardo began with.

8 0
4 years ago
Simplify. 13 – 81 – (12 : 3 + 1)2
kumpel [21]

Answer:-78

Step-by-step explanation:

6 0
3 years ago
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