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kodGreya [7K]
4 years ago
12

The Frostburg-Truth bus travels on a straight road from Frostburg Mall to Sojourner Truth Park. The mall is 3 miles west and 4 m

iles south of the City Center. The park is 3 miles east and 5 miles north of the Center. How far is it from the mall to the park to the nearest tenth of a mile
Mathematics
2 answers:
ohaa [14]4 years ago
4 0

Answer:

1.0  mile

Step-by-step explanation:

(3,4)   (3,5)  

3-3 = 0   0^{2} = 0

5-4 = 1    1^{2} =  1  

SOO my best answer is 1.0 mile. :))

jasenka [17]4 years ago
3 0
We travel from mall to park in a straight line.  The east-west distance is
3-(-3) miles, or 6 miles.  The north-south distance is 5+4, or  9 miles.

Use the Pyth. Thm. to find the distance between mall and park


(6 miles)^2 + (9 miles)^2 = distance^2

distance = sqrt (36 + 81) = sqrt(117 miles^2) = 10.8 miles.
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Marcus is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the r
Otrada [13]
Ratio of width to length:    W/L = 3/5
5W = 3L  .........(a)

Perimeter = 2*(L+W) = 80

2*(L+W) = 80
(L+W) = 80/2.  Divide both sides by 2.
L+W= 40......(b)


5W = 3L

L + W = 40    Multiply both sides by 5.
5*(L+W) = 5*40
5L+5W = 200.             Recall from (a)   5W = 3L
5L + 3L = 200
8L = 200
L = 200/8
L = 25.

5W = 3L
5W = 3*25
W = 3*25/5
W = 15.

Therefore, the length, L = 25 and width , W = 15.
7 0
3 years ago
Which of the following statements about the percentiles for the standard normal distribution are correct? A. The 90th percentile
shutvik [7]

Answer:

Correct option: (C) The 75th percentile is approximately 0.67

Step-by-step explanation:

The <em>p</em>th percentile is a data value such that at least <em>p</em>% of the data set is less than or equal to this data value and at least (100 - <em>p</em>)% of the data set are more than or equal to this data value.

If <em>x</em> is the <em>p</em>th percentile of a data set then,

P (X < x) = p/100

If X\sim N(\mu, \sigma^{2}) then  Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

  • The 90th percentile of a standard normal distribution is:

        P (Z < z) = 0.90, then <em>z</em> = 1.28

  • The 10th percentile of a standard normal distribution is:

        P (Z < z) = 0.10, then <em>z</em> = -1.28

  • The 75th percentile of a standard normal distribution is:

        P (Z < z) = 0.75, then <em>z</em> = 0.67

  • The 15th percentile of a standard normal distribution is:

        P (Z < z) = 0.15, then <em>z</em> = -1.04

Thus, the correct statement is (C).

7 0
3 years ago
If k = (n + 2)(n – 2), where n is an integer greater than 2, what is the value of k ? (1) k is the product of two primes. (2) k
Korolek [52]

Answer:

The answer is k=77

Step-by-step explanation:

It is given that n is an integer and greater than 2. Let us simplify k = (n + 2)(n – 2) to k=n^2-4.

In (1) it is stated that k is the product of two primes and in (2) it is stated that k<100. To solve the question we need to consider both cases (1) and (2).

Let say n=9 then k=n^2-4 becomes k=81-4=77. Well, 77 is the product of two prime numbers 7 and 11 (77=7*11). The answer is k=77

6 0
3 years ago
1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability
antoniya [11.8K]

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is \frac{1}{8}

b) P(X>5) = \int\limits^10_5 {1/8} \, dx = \frac{5}{8}

P(5

For

x^2-12x+35 >0\\(x-5)(x-7)>0\\x7

P(X<5 or x>7) = 1-P(5<x<7)

= \frac{3}{4}

4 0
3 years ago
What is a radius of a circle that has a diameter of 38 centimeters
Arada [10]

Answer:

it would be 14

radius=diameter÷2=38÷2=14

5 0
3 years ago
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