Madilyn has 2 triangular vegetable gardens. One measures

Yellow Taxi Cabs charges a $7 flat rate in addition to $2.25 per mile. Kate has $100 to spend on transportation. How many miles

enyata [817]

Kate can travel 41.33 miles without exceeding her limit. This problem can be solved by using y = 2.25x + 7 linear equation with the "y" variable as the total cost that Kate must pay after she has traveled with the cab and the "x" variable as Kate's traveling distance. The equation has 7 for its constant value which is the $7 flat rate. We will find 41.33 miles as the traveling distance if we substituted the total cost with 100, which is the maximum amount that can be paid by Kate for the traveling purpose.

7 0

2 years ago

Write an equation of a line that is parallel to y=-3x+5 that passes through the point (0,-4)

elena55 [62]

Answer:

${ \rm{y = - 3x + 5}}$

Gradient = -3

• Parallel lines have the same gradient, therefore gradient, m is -3

${ \rm{y = mx + c}}$

• At point (0, -4)

${ \rm{ - 4 = ( - 3 \times 0) + c}} \\ \\ { \rm{c = - 4}}$

y intercept is -4

${ \boxed{ \boxed{ \mathfrak{answer : }}{ \rm{\: \: y = - 3x - 4}}}}$

6 0

2 years ago

Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.

belka [17]

Answer:

x=63.256% 63.3-rounded to the nearest tenth.

Step-by-step explanation:

8 0

3 years ago

The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequ

miss Akunina [59]

Hi,
There must have a bug on the site !!!

LoveYourselfFirst deleted your answer to the question
"Hello,Answer
=1244+8+16+32+64=124 6 minutes ago"
The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequence?

$a_1=4\\
a_2=2*a_1=8\\
a_3=2*a_2=2^2*a_1=4*4=16\\
a_4=2^3*a_1=8*4=32\\
a_5=2^4*a_1=16*4=64\\

4+8+16+32+64=124

$

5 0

2 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

Start by calculating the mean

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

Hence, the standard deviation is approximately 11.28

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0

2 years ago