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natita [175]
3 years ago
13

Each square on the grid shows a city block. The school is located at S(0, 0). The movie theater is located at M(0, 3). The commu

nity garden is located at G(2, 1). The library is located at L(-3, -2). The baseball field is located at B(5, 3). Marta started at the library and walked 3 blocks north and 5 blocks east. At which place did Marta arrive?
Mathematics
1 answer:
pantera1 [17]3 years ago
5 0
Martha arrived at the community garden.
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IceJOKER [234]

whats the shape or whatever it is


3 0
4 years ago
If K is the midpoint of HJ, HK equals x+6, and HJ equals 5x-6, then KJ equals?
Natasha2012 [34]
X + 6 = 5x - 6
12 = 4x
x = 3
KJ = 2 ( x+ 6 ) = 2 * 9 = 18
7 0
4 years ago
Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actu
nikitadnepr [17]

Answer:

a. f(x)= 1.25\ \ \ \ , \  for \ 31.8\leq x\leq 32.6

b. \ P(X=32)=0\\P(X>32.3)=0.375\\P(X

c. No.  Delicious Candy isn't violating any government regulations

Step-by-step explanation:

a.

-A uniform distribution is given by the formula:

f(x)=\frac{1}{b-a} \ \ \ for \ \ \ a\leq x\leq b

#we substitute our values in the formula above to determine the distribution:

f(x)=\frac{1}{b-a}\\\\=\frac{1}{32.6-31.8}\\\\=1.25\\\\\therefore f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6

Hence, the probability density function for the box's weight is given as: f(x)=1.25, \ \ \ 31.8\leq x\leq 32.6

b. The probability of the box's weight being exactly 32 ounces is obtained by integrating f(x) over a=b=32:

f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32}_{32} {1.25} \, dx \\\\\\=[1.25x]\limits^{32}_{32}\\\\\\=1.25[32.0-32.0]\\\\\\=0

Hence,  the probability that a box weighs exactly 32 ounces is 0.000

ii.The probability that a box weighs more than 32.3 is obtained by integrating f(x) over the limits 32.3 to 32.6 :

f(x)=1.25, \ \ \ a\leq x\leq b\\\\=\int\limits^{32.6}_{32.3} {1.25} \, dx \\\\\\=[1.25x]\limits^{32.6}_{32.3}\\\\\\=1.25[32.6-32.3]\\\\\\=0.375

Hence, the probability that a box weighs more than 32.3 ounces is 0.3750

iii. The probability that a box weighs less than 31.8 is 0.000 since the weight limits are 31.8\leq x\leq 32.6.

-Any value above or below these limits have a probability of 0.000

c. Let 32 ounces be the government's stated weight.

1.25(32.6-32)=0.75\\\\0.75>0.60

Hence, Delicious Candy isn't violating any government's regulations.

8 0
3 years ago
If f(x)=x²- 3x+5 and g(x)= - 2x, find the following composition.
anyanavicka [17]

The numeric value of the composite function at x = 2 is given as follows:

(f ∘ g)(2) = 33.

<h3>Composite function</h3>

The composite function of f(x) and g(x) is given by the rule presented as follows:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

In the context of this problem, the functions are given as follows:

  • f(x) = x² - 3x + 5.
  • g(x) = -2x.

The composite function is:

(f ∘ g)(x) = f(-2x) = (-2x)² - 3(-2x) + 5 = 4x² + 6x + 5.

At x = 2, the numeric value is given as follows:

(f ∘ g)(2) = 4(2)² + 6(2) + 5 = 33.

Learn more about composite functions at brainly.com/question/10687170

#SPJ4

7 0
1 year ago
Find the circumference and the area of a circle with diameter 2 cm . Use the value 3.14 for π , and do not round your answers. B
Fynjy0 [20]
Circumference= 2×pi×R
Area= pi× R^2
Since Diameter=2 cm ---> Radius is 2× diameter , so R=4 cm

Circumference=2×3.14×4= 25.12 cm
area=3.14× (4)^2= 50.24 cm^2
6 0
3 years ago
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