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Law Incorporation [45]

2 years ago

6

The length of a rectangular state park is 2 miles longer than twice the width. The area of the park is 84 square miles. What is

the width of the park?

1 answer:

klasskru [66]2 years ago

8 0

Answer:

Step-by-step explanation:

hello : look this solution

You might be interested in

Evaluate −4x − y + 4 when x = −14 and y = 3

miskamm [114]

Answer:

57

Step-by-step explanation:

-4x-y+4

plug in the numbers for the letters

-4(-14)-3+4

multiply -4(-14)= 56

56-3+4

subtract 3

53+4

add 4

57

5 0

2 years ago

Read 2 more answers

Suppose a simple random sample of size nequals81 is obtained from a population with mu equals 79 and sigma equals 18. (a) Descr

Daniel [21]

Answer:

(a) The sampling distribution of $\overline{X}$ = Population mean = 79

(b) P ( $\overline{X}$ greater than 81.2 ) = 0.1357

(c) P ( $\overline{X}$ less than or equals 74.4 ) = .0107

(d) P (77.6 less than $\overline{X}$ less than 83.2 ) = .7401

Step-by-step explanation:

Given -

Sample size ( n ) = 81

Population mean $(\nu)$ = 79

Standard deviation $(\sigma )$ = 18

(a) Describe the sampling distribution of $\overline{X}$

For large sample using central limit theorem

the sampling distribution of $\overline{X}$ = Population mean = 79

(b) What is Upper P ( $\overline{X}$ greater than 81.2 ) =

$P(\overline{X}> 81.2)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}> \frac{81.2 - 79}{\frac{18}{\sqrt{81}}})$

= $P(Z> 1.1)$

= $1 - P(Z< 1.1)$

= 1 - .8643 =

= 0.1357

(c) What is Upper P ( $\overline{X}$ less than or equals 74.4 ) =

$P(\overline{X}\leq 74.4)$ = $P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{74.4- 79}{\frac{18}{\sqrt{81}}})$

= $P(Z\leq -2.3)$

= .0107

(d) What is Upper P (77.6 less than $\overline{X}$ less than 83.2 ) =

$P(77.6< \overline{X}< 83.2)$ = $P(\frac{77.6- 79}{\frac{18}{\sqrt{81}}})< P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}\leq \frac{83.2- 79}{\frac{18}{\sqrt{81}}})$

= $P(- 0.7< Z< 2.1)$

= $(Z< 2.1) - (Z< -0.7)$

= 0.9821 - .2420

= 0.7401

3 0

2 years ago

How many different ways can teams of four members be formed from a class of 20?

guapka [62]

Assuming you want to choose 4 people from the class of 20;

Begin by using the combinations formula;

20C4=4845 possibilities

Hope I helped :)

4 0

2 years ago

Make a tree diagram to show sample space. Then select the total number of outcomes.

Margaret [11]

Answer:

B. 10

Step-by-step explanation:

The first choice has 2 options: square or circle

The second choice has 5 options: orange, blue, yellow, red, or green.

2 x 5 = 10 total outcomes

7 0

2 years ago

Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)

Kryger [21]

Answer:

$y = -\frac{1}{4} + \frac{11}{2}$

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

$6 = -\frac{1}{4}(-2) + b$ multiply $-\frac{1}{4}$ and 2

$6 = \frac{1}{2} + b$ subtract $\frac{1}{2}$ from both sides

$b = \frac{11}{2}$

now we plug m and b into the equation and leave x and y as variables to get the final equation:

$y = -\frac{1}{4} + \frac{11}{2}$

8 0

2 years ago