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Scilla [17]
4 years ago
10

choose the missing step in the given solution to the inequality −x − 3 < 13 3x. −x − 3 < 13 3x _______________ −4x < 16

x > −4 −4x − 3 > 13 2x − 3 < 18 −4x − 3 < 13 2x − 3 > 18
Mathematics
1 answer:
Ahat [919]4 years ago
5 0

Answer:

-4x-3 < 13

Step-by-step explanation:

we have

-x-3 < 13+3x

Subtract 3x both sides

-x-3-3x < 13+3x-3x

-4x-3 < 13

Adds 3 both sides

-4x-3+3 < 13+3

-4x < 16

Divide by -4 both sides

x > -4

therefore

The missing step is

-4x-3 < 13

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What property is this? (3x+12y)+(10x-5y)
SpyIntel [72]

Answer:

Assciates Property

Step-by-step explanation:

look at the picture above

6 0
3 years ago
What the answer now answer only if now answer corry
goblinko [34]

Answer:

Approximately 11.5 units.

Step-by-step explanation:

We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.

Now, like last time, use the Law of Sines:

\frac{\sin(V)}{v}=\frac{\sin(W)}{w}=\frac{\sin(X)}{x}

We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for <em>x</em>.

\frac{\sin(144)}{w}=\frac{\sin(21)}{7}

Cross multiply:

7\sin(144)=w\sin(21)\\w=\frac{7\sin(144)}{\sin(21)} \\v\approx11.4812\approx11.5

6 0
4 years ago
Police estimate that​ 25% of drivers drive without their seat belts. If they stop 6 drivers at​ random, find the probability tha
Furkat [3]

Answer:

17.80% probability that all of them are wearing their seat belts.

Step-by-step explanation:

For each driver stopped, there are only two possible outcomes. Either they are wearing their seatbelts, or they are not. The drivers are chosen at random, which mean that the probability of a driver wearing their seatbelts is independent from other drivers. So we use the normal probability distribution to solve this problem.

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.

Police estimate that​ 25% of drivers drive without their seat belts.

This means that 75% wear their seatbelts, so p = 0.75

If they stop 6 drivers at​ random, find the probability that all of them are wearing their seat belts.

This is P(X = 6).

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

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.1780

17.80% probability that all of them are wearing their seat belts.

3 0
3 years ago
Read 2 more answers
-0.2 + 7/10 plz help I’m stuck
Lelechka [254]

(-0.2) + (7÷10) =

(-0.2) + 0.70 =

0.5

Hope that helps!


6 0
3 years ago
Nancy’s morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the t
Lina20 [59]
26 minutes to get to work
5 0
3 years ago
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