Please help with number one into

To get to school, Grayson usually walks 1.5 miles west and 0.8 miles north on the sidewalks. Because he is in a hurry, he has de

Alex17521 [72]

Answer:

Grayson has to walk 1.7 miles across the field.

Step-by-step explanation:

We have drawn the diagram for your reference.

Given:

Grayson usually walks 1.5 miles west on the side walks

According to Diagram we can say;

CA = 1.5 miles

Also Given:

Grayson also walks 0.8 miles north on the sidewalks

So According to Diagram we can say;

BA =0.8 miles

Now we need to find number of miles Grayson have to walk across the field.

According to diagram we can say;

We have to find CA.

Assuming the diagram to be right angled triangle.

We can find CA using Pythagoras theorem.

${CA}^2 = {CB}^2+{BA}^2$

Substituting the given values we get;

${CA}^2 =1.5^2+0.8^2 = 2.25 +0.64 =2.89$

Taking square root on both side we get;

$\sqrt{{CA}^2} = \sqrt{2.89} \\\\CA = 1.7 \ mi$

Hence Grayson has to walk 1.7 miles across the field.

4 0

3 years ago

Mai and Elena are shopping for back-to-school clothes. They found a skirt that originally cost $30 on a 15% off sale rack. Today

Dmitry [639]

B is b is b is b is b is b

3 0

3 years ago

Soup ordinarily priced at two cans for 33 cents, may be purchased in lots of a dozen for $1.74. What are the savings per can whe

Whitepunk [10]

i think it would be d.) 2 cents

7 0

3 years ago

19/23 Marks

PilotLPTM [1.2K]

Answer:

0.28

Step-by-step explanation:

Let p be the probability of pasta.

Total probability is = 1

Therefore,

0.3 + 0.42 + p = 1

0.72 + p = 1

p = 1 - 0.72

p = 0.28

The probability that it will be pasta is 0.28

4 0

3 years ago

This set of ordered pairs shows a relationship between x and y. {(0, -2), (3, 7), (6, 16), (6, 15), (8, 21), (10, 28), (11,31)}

Hunter-Best [27]

Answer:

The closest to the output when the input is approximately 12

Step-by-step explanation:

The given (x, y) coordinates are;

The line of best fit is

x, 0, 3, 6, 6, 8, 10, 11

y, -2, 7, 16, 15, 21, 28, 31

The line of best fit can be obtained from the scatter plot of the given data from where a linear pattern is apparent

A linear line of best fit is a trend line that gives an overall cumulative minimum distance of all the points from the line

The method for constructing a line of best fit includes;

1) The least Squares Method

2) The method of linear regression

3) Construction of line of best fit

a) The area method

b) The dividing method

The least squares equation is given as follows;

$\hat y$ = a + b·x

$b = \dfrac{\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma (x_i - \overline x)^2 }$

From MS Excel, we have;

${\Sigma (x_i - \overline x) \cdot (y_i - \overline y)}{ }$ = 266.8571

${\Sigma (x_i - \overline x)^2 }$ = 89.42857

∴ b = 266.8571/89.42857 ≈ 2.984

$a =\overline y- b \cdot \overline x$

From MS Excel, with the given data, we get;

$\overline y$ = 16.57143

$\overline x$ = 6.285714

Therefore;

a = 16.57143 - 2.984 × 6.285714 = -2.185

Therefore, we get the following regression equation;

$\hat y$ = -2.185 + 2.9·x

Where;

x = The input

$\hat y$ = The output

Therefore, when x = 5, we get;

$\hat y$ = -2.185 + 2.9 × 5 = 12.315

Therefore, the closest to the output when the input is 5, y ≈ 12

8 0

3 years ago