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Oksana_A [137]
3 years ago
7

If a student scored 75 points on a test where the mean score was 83.5 and the standard deviation was 6.1. the student's z score

is ________. round to 2 decimal places.
Mathematics
2 answers:
Delvig [45]3 years ago
8 0

Answer: ( -1.5)

have a nice day:)

Gwar [14]3 years ago
6 0

Answer:

The z score is -1.39

Step-by-step explanation:

Taking into account, that the student score is 75 points, the mean score is 83.5 and the standard deviation is 6.1. The z score is calculated as:

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

Where x is the score that the student gets, m is the mean score and s is the standard deviation, so the z score is:

z=\frac{75-83.5}{6.1}=-1.39

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Will give brainliest, please help fast​
Gekata [30.6K]

Answer:

Converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

Step-by-step explanation:

we are given quadratic equation: x^2-20x+13=0

And we need to convert it into completing the square method.

Completing the square method is of form: a^2-2ab+b^2=(a-b)^2

Looking at the given equation x^2-20x+13=0

We have a = x

then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20

So, 20x in form of 2ab can be written as:  2(x)(10)

So, we need to add and subtract (10)^2 on both sides

x^2-20x+13=0\\x^2-2(x)(10)+(10)^2-(10)^2+13=0\\(x^2-2(x)(10)+(10)^2) \:can\: be\: written\: as\: (x-10)^2 \\(x-10)^2-100+13=0\\(x-10)^2-87=0\\(x-10)^2=87

So, converting the equation x^2-20x+13=0 into completing the square method we get: \mathbf{(x-10)^2=87}

4 0
3 years ago
The answer using Pythagorean theorem
OverLord2011 [107]

Answer: 12.32 is the answer.


Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,

17^2+B^2=21^2.

Now we simplify.

289+B^2=441

We subtract the 289 from both sides,

B^2=152                                                                                                                                                            

Now we use square root to find the answer.

12.32 is the answer.

Hope this helps!


5 0
3 years ago
The scientific notation 2 x 10^-2 has what value?
PIT_PIT [208]
The value is 0.02

If it is a negative number, you move the decimal over to the left. :)
8 0
3 years ago
Point T is the midpoint of JH. The coordinate of T is (0, 5) and the coordinate of J is (0, 2). The coordinate of H is:
aev [14]
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&J&(~ 0 &,& 2~) 
%  (c,d)
&H&(~ x &,& y~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left(\cfrac{x+0}{2}~~,~~\cfrac{y+2}{2}  \right)=\stackrel{midpoint~T}{(0~,~5)}\implies 
\begin{cases}
\cfrac{x+0}{2}=0\\\\
\boxed{x=0}\\
------\\
\cfrac{y+2}{2}=5\\\\
y+2=10\\
\boxed{y=8}
\end{cases}
6 0
3 years ago
Graph the function. f(x)=2x^2-5<br> please help ill give you brainliest
snow_lady [41]

f(x)=2x^2+0x-5

Find the vertex

0/4=0=x

Input x into the equation to find y or f(x)

0+0-5=f(x)

(0,-5) = Vertex

Now find a random x coordinate to input into the equation.

Let's do 4.

32+0-5=f(x)=27

It may not look like a parabola due to it being uneven.

5 0
3 years ago
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