A bag contains 6 red balls and blue balls. 4 balls are selected at random. find the probability of selecting 4 red balls.

1 answer:

8 0

Another way is to note that there are (104)(104) (“10 choose 4”) ways to select 4 balls from a collection of 10. If 4 of those 10 balls are “special” in some way (in this case, “special” = “red”), then the number of ways to choose 4 special balls is (44)(44). (The factor of (60)(60) is included to convey that, after choosing 4 special balls, we choose none of the 6 non-special balls.) This line of reasoning gives the second expression.

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A glass is 4/7 full . Then 70cm3 of orange juice is poured in . The glass is now 2/4 full. What is the total volume of the glss

Korolek [52]

Let
x--------------> total volume of a glass

we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x

multiplied by 7 the expresion
7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³

the answer is
the total volume of the glass is 980 cm³

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3 years ago

Read 2 more answers

Rewrite the expression with the given base. 25^3x with a base of 5.

svp [43]

$Use\ (a^n)^m=a^{nm}\\\\25^{3x}=(5^2)^{3x}=5^{2\cdot3x}=5^{6x}$

6 0

3 years ago

Help me find y and z? Thanks!

Genrish500 [490]

There is 180deg in a half circle, and 360deg in a full circle. complementary angles complete a half circle perfectly.
angle z is complementary to 111deg.
z= 180 - 111= 69deg
z= 69deg
There are 360 total degrees in the figure because it makes one total revolution.
y= 360- 69- 94- 88
y= 109deg
Check - 109 +69 +94 +88= 360

6 0

3 years ago

If x ≥ 0, then x + |x| = ?

oee [108]

Answer:

x + |x| = 2x

Step-by-step explanation:

if the number is more than 0 or greater, then if you add it to itself, it will be equal to the value of two of the previous number. Hope this helps

8 0

2 years ago

Determine if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 4.1, 8.2, 12.2

goldfiish [28.3K]

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

$4.1 + 8.2 \ \textgreater \ 12.2 \\
12.3 \ \textgreater \ 12.2 \\
true$
They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if $c^2=a^2+b^2$ , the triangle is right
- if $c^2\ \textless \ a^2+b^2$ , the triangle is acute
- if $c^2\ \textgreater \ a^2+b^2$ , the triangle is obtuse

$4.1^2+8.2^2=16.81+67.24=84.05 \\
12.2^2=148.84 \\ \\
148.84\ \textgreater \ 84.05$
The triangle is obtuse.

The answer is D.

4 0

2 years ago