The price of a pen is Rs 5 more than the price of a pencil. Total price of 3 pencil and 2 pen is Rs 45.

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

4 years ago

Myra won the hurdles event for the seventh graders. She completed the race in 22.8 seconds and knocked down 1 hurdle. Byron won

gregori [183]

Answer:

Myra: 24.8s (winner) Byron: 26.3s

Step-by-step explanation:

plz make as crown if someone else answer's

6 0

2 years ago

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

saw5 [17]

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

<h3>What is a function?</h3>

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

$\rm P = 18500\times (0.95995)^n$

The linear function describes car 2.

$\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500$

Then the value of the car 1 after 10 years will be

$\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5$

Then the value of the car 2 after 10 years will be

$\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33$

Yes, there is a significant difference.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

5 0

2 years ago

Look at the attached photo

Papessa [141]

Answer:

Step-by-step explanation:

radius of the circle=12 cm / 2=6 cm

Area of the square=side²=(12 cm)²=144 cm²

Area of the circle=πr²=(3.142)(6 cm)²≈(3.142)*36 cm²≈113.112 cm²

Area of the four sides between the square and the circle=

=Area of the square - area of the circle=144 cm²-113.112 cm²=30.888 cm²

shaded area =30.888 cm²/4=7.722 cm²

Answer =7.722 cm²

6 0

3 years ago

What is the answer to 1.5 / 2.5 equals 3.5 / d

Kay [80]

Answer:

1.5/2.5 = 3.5/5.83recuring

Step-by-step explanation:

8 0

3 years ago