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4 years ago

13

At a birthday party, there are 2 gift boxes that are red, 7 gift boxes that are green, 4 gift boxes that are blue, and 11 gift b

oxes that are multi-colored sitting on a table. If one of the gift boxes falls off the table at random, what is the probability that the gift box will be green

1 answer:

Monica [59]4 years ago

5 0

2 Red — 7 Green — 4 Blue — 11 Random
2 + 7 + 4 + 11 = 24
Probability of Green falling.
7/24

Hope this helps

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The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

<em></em> $f(0) > g(0)$ <em></em>

6 0

3 years ago

Can y’all help me plz?

gulaghasi [49]

Answer:

13

Step-by-step explanation:

Pythagreom Therom:

a^2+b^2=c^2

12^2+5^2=c^2

144+25=c^2

169=c^2

c=13

3 0

3 years ago

University Theater sold 465 tickets for a play. Tickets cost $23 per adult and $13 per senior citizen. If total receipts were $7

liq [111]

<u>Answer:</u>

355 senior citizen tickets were sold.

<u>Step-by-step explanation:</u>

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

$a +s=465$ --- (1)

$23a+13s=7145$ --- (2)

From equation 1, $a=465-s$ .

Substitute $a$ in equation 2 to get:

$23 (465-s) + 13s = 7145$

$10695 - 23s +13s =7145$

$-10s = -3550$

$s = 355$

Therefore, there were 355 senior citizen tickets sold.

8 0

3 years ago

The area of a base of a cuboid is 45 cm^ , its height is 6 cm find its volume

Evgesh-ka [11]

Answer:

270 cm³

Step-by-step explanation:

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2 years ago

On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the

aleksklad [387]

Answer:

720 miles

Step-by-step explanation:

We are given a distance and a fraction of the total that it represents. This lets us write the relation ...

252 = 0.35D . . . . . . where D is the total distance traveled

252/0.35 = D = 720 . . . . divide by the coefficient of D

The Hernandez family traveled 720 miles during their vacation.

7 0

2 years ago