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3 years ago

Which property would be used to first simplify the expression 2 (x+5y+1)-4(3x-y-2)

Mathematics

2 answers:

Ahat [919]3 years ago

8 0

Answer:

This should be distributive

Mariulka [41]3 years ago

3 0

Answer:

Distributive

Step-by-step explanation:

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The radius of a basketball is 4.7 inches.what the volume of the basketball? Round to the nearest 10

asambeis [7]

The formula for the volume of a sphere is $V= \frac{4}{3} \pi r^3$ . Plugging in 4.7 for your radius, we get $V= \frac{4}{3} \pi 4.7^2= \frac{4}{3} \pi 22.09= \frac{88.36}{3} \pi$ , which is roughly 29.453π≈92.530.

4 0

3 years ago

Read 2 more answers

Help please, due soon need it

Grace [21]

can you get a clearer picture pls

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7 0

3 years ago

Can somebody please help me? :(

Natasha2012 [34]

Answer:

143 square meters

Step-by-step explanation:

The surface has a width of 11 meters and a length of 13 meters.

13 x 11 = 143.

Is this correct?

5 0

3 years ago

What is the cost of a $19,500 plus a 6% sales tax?

vova2212 [387]

1% of 19,500= 195

6% = 1%x6 = 195x6 = 1170

19500+1170=20670

3 0

4 years ago

A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 student

Gwar [14]

Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that $p = 0.25$

Class of 18 students

This means that $n = 18$

What would be the probability that at least 6 students drive themselves to school?

This is

$P(X \geq 6) = 1 - P(X < 6)$

In which

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006$

$P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034$

$P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096$

$P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17$

$P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213$

$P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199$

$P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718$

$P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282$

Closest option is B, just a small rounding difference.

4 0

3 years ago