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2 years ago

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7: Maribel blinks her eyes 105 times in 5 minutes. If b represents the number of times Maribel blinks in m minutes, what is a li

near equation that represents this situation? Assume that Maribel blinks her eyes at a constant rate

1 answer:

den301095 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

105/5= 21

21m=b

feel free to ask any question

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A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If x is the number

serg [7]

Answer:

The probability distribution is

X : 0 1 2

f(X) : 2/7 4/7 1/7

Step-by-step explanation:

Let x is the number of defective sets purchased by the hotel.

Total number of television sets = 7

Total number of defective television sets = 2

Since there are 2 defective television sets and hotel purchase 3 sets, So, X=0,1,2.

If X=0,

$P(X=0)=\frac{^5C_3}{^7C_3}=\frac{10}{35}=\frac{2}{7}$

If X=1,

$P(X=1)=\frac{^5C_2\cdot ^2C_1}{^7C_3}=\frac{10\cdot 2}{35}=\frac{4}{7}$

If X=2,

$P(X=2)=\frac{^5C_1\cdot ^2C_2}{^7C_3}=\frac{5\cdot 1}{35}=\frac{1}{7}$

The probability distribution is

X : 0 1 2

f(X) : 2/7 4/7 1/7

The probability histogram is shown below.

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2 years ago

which geometric series represents 0.4444... as a fraction? a) 1/4, 1/40, 1/400, 1/4,000 b) 1/40, 1/400, 1/4,000, 1/40,000 c) 4/1

xenn [34]

Answer: $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

Step-by-step explanation:

The given geometric series are:

a) $\frac{1}{4}+\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}$

on simplifying in decimals, we get

$0.25+0.025+0.0025+0.00025=0.27775\neq0.4444$

b) $\frac{1}{40}+\frac{1}{400}+\frac{1}{4,000}+\frac{1}{40,000}$

on simplifying in decimals, we get

$0.025+0.0025+0.00025+0.000025=0.027775\neq0.4444$

c) $\frac{4}{10}+\frac{4}{100}+\frac{4}{1,000}+\frac{4}{10,000}$

on simplifying in decimals, we get

$0.4+0.04+0.004+0.0004=0.4444$

Thus, this geometric series represent 0.4444.

d) $\frac{1}{10}+\frac{1}{100}+\frac{1}{1,000}+\frac{1}{10,000}$

on simplifying in decimals, we get

$0.1+0.01+0.001+0.0001=0.1111\ \neq0.4444$

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X+y=4000....(1)
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The equations 3 x minus 4 y = negative 2, 4 x minus y = 4, 3 x + 4 y = 2, and 4 x + y = negative 4 are shown on the graph below.

stich3 [128]

Answer:

(–1.4, 1.5)

Step-by-step explanation:

The blue line and the purple line are the lines corresponding to the equations of interest. Their point of intersection is in the 2nd quadrant, so is nearest to ...

(–1.4, 1.5)

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It can be useful to understand that for equations in standard form:

ax +by = c

the x- and y-intercepts are ...

x-intercept: c/a . . . . value of x for y = 0
y-intercept: c/b . . . . value of y for x = 0

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For the equations of interest, the first has intercepts of ...

x=2/3, y=1/2 . . . . graphed line makes a 1st-quadrant triangle with the axes (blue line)

And the second has intercepts of ...

x=-1, y=-4 . . . . graphed line makes a 3rd-quadrant triangle with the axes (purple line)

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