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vichka [17]
3 years ago
12

If arc QT = (27x + 3) arc RT = (9x – 5) and RST = (102 – 2) find arc RT.

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

Answer:

Step-by-step explanation:

x = 6

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0
3 years ago
Identify the variable(s) in the expression below.<br> 5 + 12w
tatiyna

Answer:

w is the variable

Step-by-step explanation:

the letters you see next to the numbers the variable.

8 0
2 years ago
Which is the graph of a logarithmic function?
Reika [66]

The domain and range of the graph of a logarithmic function are;

  • Domain; 0 < x < +∞

  • Range; The set of real numbers.

<h3>How can the graph that correctly represents a logarithmic function be selected?</h3>

The basic equation of a logarithmic function can be presented in the form;

y =  log_{b}(x)

Where;

b > 0, and b ≠ 1, given that we have;

y =  log_{1}(x)

{1}^{y}  = 1

The inverse of the logarithmic function is the exponential function presented as follows;

x =  {b}^{y}

Given that <em>b</em> > 0, we have;

{b}^{y}  = x > 0

Therefore, the graph of a logarithmic function has only positive x-values

The graph of a logarithmic function is one with a domain and range defined as follows;

Domain; 0 < x < +∞

Range; -∞ < y < +∞, which is the set of real numbers.

The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.

Learn more about finding the graphs of logarithmic functions here:

brainly.com/question/13473114

#SPJ1

5 0
2 years ago
Find the absolute value of a-b-c^2 when a=4, b=-3, and c=10
VashaNatasha [74]

Answer:

93

Explanation:

4-(-3)-10^2

4+3-100

7-100

-93

Find the absolute value......

so therefore

|-93|=93

6 0
3 years ago
Read 2 more answers
I need to know the answer
Shkiper50 [21]

Answer:

x = 17

Step-by-step explanation:

-1 is the same as minus-ing it by 1.

10 + x - 1 = 26.

10 + 16 - 1 = 25, so it must not be x = 16.

x = 17. lets try it.

10 + 17 - 1 = 26!!

5 0
3 years ago
Read 2 more answers
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