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Pavlova-9 [17]
2 years ago
10

The number of surfers that visited Sunset Beach and Sandy Point over the last 15 days was recorded on these line plots.

Mathematics
1 answer:
Arturiano [62]2 years ago
4 0

Answer:

True

False

True

Step-by-step explanation:

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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
Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?
mamaluj [8]
Steps:

Use the divisor and find x :
x - 1 = 0  **add 1
x= 1
Now we will use the 1 in dividing:

take the coefficients from in front of all terms
   ** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1|  1   0   0  1   **bring the first number down
____________
     1                    **multiply the boxed number by the first number and add it                                 to the second number

1|  1   0   0  1   
____+1_____       **repeat with the rest of the terms
     1   1   

1|  1   0    0    1
  ___+1_+1_+1   
     1   1    1    2                              
**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.
**since there is a remainder, rewrite it divided by the original divisor

final answer:
x^2 + x + 1 + (2/ x -1)
4 0
2 years ago
Read 2 more answers
Select each expression that is equivalent to 18x + 3.
Vlada [557]

Answer:

21 is the answer for 18x +3

Step-by-step explanation:

18x + 3

x=3+18

x=21

7 0
2 years ago
24 is what percent of 32
Airida [17]

Answer:

24 is 75% of 32

Step-by-step explanation:

To get the percent in decimal form we divide 24 by 32

24 ÷ 32 = 0.75

To get the decimal into a percent we multiply it by 100

0.75 × 100 = 75

7 0
2 years ago
Read 2 more answers
(15 points!!) please help!! If you can answer the other questions on my page I will Venmo u!
Anon25 [30]

Answer:

y = (x - 3)² - 4      Vertex form

(3, -4)    Vertex

Step-by-step explanation:

f(x) = x² - 6x + 5

Complete the square

y = (x - 3)² + 5 - (-3)²

y = (x - 3)² + 5 - 9

y = (x - 3)² - 4      Vertex form

(3, -4)    Vertex

7 0
2 years ago
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