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3 years ago

Factor this expression.

Mathematics

2 answers:

Sindrei [870]3 years ago

8 0

Answer:

Step-by-step explanation:

gogolik [260]3 years ago

5 0

The answer is D hope it help

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Tiffany and Dion are having a walking race. The equation and graph show the distance each person is from the starting line,

satela [25.4K]

Answer:

Step-by-step explanation:

Tiffany's distance is defined by the equation,

d = 2.5t

Here, d = distance of Tiffany from the starting line

t = time

a). d = 2.5t

$\frac{d}{t}=2.5$

Tiffany's rate = 2.5 yards per second

b). Since, slope of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

Therefore, slope of the line passing through two points (0, 10) and (10, 35)

= $\frac{35-10}{10-0}$

= 2.5 yards per second

Dion's walking rate = 2.5 yards per second

Equation that defines the distance of Dione,

d = mt + b

Here, m = rate of the walking by Dione

b = y-intercept

Hence, equation will be,

d = 2.5t + 10

c). If d = 60 yards

For Tiffany,

d = 2.5t

60 = 2.5t

t = 24 seconds

For Dion,

d = 2.5t + 10

60 = 2.5t + 10

2.5t = 50

t = 20 seconds

Therefore, Dion will take less time and finish first.

8 0

3 years ago

The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling dis

lukranit [14]

The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.

<h3>What is a sample proportion?</h3>

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

$\hat{p} = \frac{x}{n}$

Where:

x represent the number of individuals with a specified characteristic.
n represent the total number of individuals in a sample.

In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:

Standard deviation (SD) = √(p(1 - p)/n)

Substituting the given parameters into the formula, we have;

Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)

Standard deviation (SD) = √(0.37(0.63)/1,600)

Standard deviation (SD) = √(0.2331)/1,600)

Standard deviation (SD) = √0.0001457

Standard deviation (SD) = 0.0121.

Read more on standard deviation here: brainly.com/question/14467769

#SPJ1

8 0

1 year ago

How do you solve both of these problems? Please helpp

TEA [102]

45mi |1 ft. | 1 hr
1hr. |0.00189394 mi|3600sec
(45*1*1)/(1*0.00189394*3600)
45/6.818184=
6.599997888 ft/sec

24/6.818184=
3.519998874 ft/sec

7 0

3 years ago

Helpppp quickk pleassee I’m being timeddd

Alex

<u>Given</u>:

The given graph represents the cost of the Kayak's rental per hour.

The coordinates are (2,30) and (3,45)

We need to determine the unit rate of renting per hour.

<u>Unit rate of renting:</u>

The unit rate of renting can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (2,30) and (3,45), we get;

$m=\frac{45-30}{3-2}$

Simplifying, we get;

$m=\frac{15}{1}$

Dividing, we get;

$m=15$

Thus, the unit rate for renting a Kayak is $15 per hour.

7 0

3 years ago

The expression sinx + cotx cosx can be simplified to?

salantis [7]

Answer:

CSCX :)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers