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3 years ago

11

There are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find the probability t

hat it is a large, red fish.

1 answer:

Softa [21]3 years ago

3 0

The probability of choosing a large red fish is 5/15 or 1/3

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Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labele

Sergeu [11.5K]

Answer:

$TU = 15$

Step-by-step explanation:

Given

$\square MNOP \simeq\ \square STUV$

$NO = 10$

$OP = 4$

$TU = x$

$UV = 6$

Required

Determine the length of TU (i.e. x)

Because both shapes are similar, then the following equivalent ratios exist:

$NO : OP = TU : UV$

Substitute values for NO, OP, TU and UV

$10 : 4 = x : 6$

Represent as fraction

$\frac{10 }{ 4 } = \frac{x }{ 6}$

Multiply both sides by 6

$6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6$

$6 * \frac{10 }{ 4 } = x$

$x = 6 * \frac{10 }{ 4 }$

$x = \frac{60 }{ 4 }$

$x = 15$

Hence:

$TU = 15$

7 0

3 years ago

What is the equation of the circle with a diameter of 6 units and a center located at (2, −5) on the coordinate plane? a A b B c

Nastasia [14]

Answer:

$(x-2)^2+(y+5)^2=36$

Step-by-step explanation:

Recall that the equation of a circle of radius R centered at $(x_0,y_0)$ is given by:

$(x-x_0)^2+(y-y_0)^2=R^2$

For your particular case: R = 6, $x_0$ = 2, and $y_0$ = -5, therefore the equation becomes:

$(x-x_0)^2+(y-y_0)^2=R^2\\(x-2)^2+(y-(-5))^2=6^2\\(x-2)^2+(y+5)^2=36$

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3 years ago

Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).

mamaluj [8]

Hello : let A(3,0) B(0,-5)<span>
the slope is : (YB - YA)/(XB -XA)
(-5-0)/(0-3) = 5/3
</span>

<span> an equation, in the slope intercept form is : y - (-5) = (5/3)(x-0)
y = (5/3)x - 5</span>

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3 years ago

HELPPPP PLEASEEE !! THIS IS A MATH TEST AND I ONLY HAVE 20 MINS LEFT TO FINISH !!What number should the numerator and denomator

Neporo4naja [7]

Answer:

by 12 cause 6×12 is 72 so if you multiply the whole thing by 12 it would be equal to 24/72

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3 years ago

Read 2 more answers

0.580000 as a fraction

Paul [167]

Answer:

$\frac{58}{100}=\frac{29}{50}$

Step-by-step explanation:

Since this is mathematics, significant figures are not necessary. Thus, we can just take 0.58 and delete the 0s. Now, $0.58=\frac{58}{100}$ .

6 0

4 years ago