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dolphi86 [110]
2 years ago
7

on the last 5 quizzes, marco has earned a total of 21 out of 25 possible points. if he has a perfect score on the next several q

uizzes, exactly how many points will he need to bring up his average up to 90%
Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.

The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.

In this problem:

  • In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is \frac{21}{25} = 0.84.
  • In the next n observations, mean of 1.

Hence, the mean is:

M = \frac{0.84(5) + n}{5 + n} = \frac{4.2 + n}{5 + n}

We want the mean to be of 0.9, thus:

M = 0.9

\frac{4.2 + n}{5 + n} = 0.9

4.2 + n = 0.9n + 4.5

0.1n = 0.3

n = \frac{0.3}{0.1}

n = 3

3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.

A similar problem is given at brainly.com/question/25323941

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FRACTIONS
Vladimir79 [104]

The complete fraction is 24/30=4/5

<h3>How to create an equivalent fraction?</h3>

The expression is given as:

blank over 30=4/5

Represent the blank with x.

So, we have:

x/30=4/5

Multiply both sides by 30

x = 30 * 4/5

Evaluate

x = 24

Substitute x = 24 in x/30=4/5

24/30=4/5

Hence, the complete fraction is 24/30=4/5

Read more about fractions at:

brainly.com/question/10354322

#SPJ1

3 0
1 year ago
What is the value of y in the sequence below<br> 2, У, 18,-54, 162
Maslowich

Answer:

<em>y=-6</em>

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term a_n can be obtained as the previous term a_{n-1} by a constant value called the common ratio.

a_n=a_{n-1}.r

or equivalently

a_n=a_1.r^{n-1}

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

\displaystyle \frac{162}{-54},\ \frac{-54}{18} and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0
2 years ago
Please help me with this. 10 points! (Math)
Alex787 [66]

Felt appears to be right triangles


A appears to be an equilateral triangle

8 0
3 years ago
Read 2 more answers
What is the slope of x+y=7,x-y=8
slava [35]

Step-by-step explanation:

The slop is M= 1÷x-y-xy

5 0
3 years ago
Idk why I can’t get this ?! number two plz
Arturiano [62]
The only possible outcome to this would be any number greater or less than 361 in the 300’s
7 0
2 years ago
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