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3 years ago

How many vertices does a square pyramid have

Mathematics

1 answer:

Afina-wow [57]3 years ago

5 0

Answer:

5 vertices

Step-by-step explanation:

4 on the bottom and 1 on the top

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You roll a six-sided die. Find the probability of each of the following scenarios

romanna [79]

Answer:

a) $1/2$

b) $5/6$

c) $2/3$

Step-by-step explanation:

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is $(1+1+1)/6=3/6=\boxed{1/2}$

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is $(1+1+1+1+1)/6=\boxed{5/6}$

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is $(1+1+1+1)/6=4/6=\boxed{2/3}$

6 0

2 years ago

Find the inverse of the function f(x) = (x - 4) 2 - 5 if x ≥ 4.

Serggg [28]

Same here, we do a quick switcharoo on the variables first,

$\bf \stackrel{f(x)}{y}=(x-4)^2-5\qquad inverse\implies \boxed{x}=\left( \boxed{y}-4 \right)^2-5
\\\\\\
x+5=(y-4)^2\implies \pm\sqrt{x+5}=y-4\implies \pm\sqrt{x+5}+4=y$

6 0

3 years ago

Which of the following is the correct expansion of (3x-y)2

GREYUIT [131]

6x-2y (I believe so)

4 0

3 years ago

There are 128128128 ounces in a gallon. There are 444 quarts in a gallon.

Sholpan [36]

Answer:

32 ounces

Step-by-step explanation:

128oz=1gal

4quarts=1gal

128÷4=32

32oz=1 quart

4 0

3 years ago

Solve the system by substitution or elimination

OleMash [197]

X - y = 5,
x = 5 + y
substitute (x = 5 + y) into the first equation,
5 + y + 2y = -1
3y = -6
y = -2,
substitute y = -2 into (x - y = 5),
x + 2 = 5
x = 3

Hence, x = 3, y = -2

4 0

3 years ago