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puteri [66]
3 years ago
14

Which graph represents the inequality x≥2?

Mathematics
2 answers:
Leni [432]3 years ago
8 0

The graph on the upper right is the answer.

Anton [14]3 years ago
3 0

Answer:

The second graph in the upper line.

Step-by-step explanation:

We have been given an inequality x\geq 2. We are asked to find the graph of the given inequality.

Since our inequality has a greater than or equal to sign, so the boundary line of inequality would be solid line.

The boundary line would be vertical line passing through the x-axis at point (2,0).

Now, we will test point (0,0) to find the shaded area.

0\geq 2

Since point (0,0) doesn't satisfy the given inequality, so shaded area of the given inequality would be area excluding point (0,0).

Therefore, option B is the correct choice.

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39. The ratio of new houses to antique houses in a village is 4:5. If there are
jeyben [28]

Step-by-step explanation:

☄ \underline{ \underline{ \text{Question }}}: The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?

☄\underline{ \underline{ \text{Solution}}} :

✏ Let , the number of antique houses in a village be ' x ' .

Then , According to the question :

\sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses}  \:  =  \:  \frac{4}{5}}

⤑\sf{ \frac{12}{x}  =  \frac{4}{5}}

Apply cross product property

⤑\sf{4 \times x = 12 \times 5}

⤑\sf{4x = 60}

⤑\sf{ \frac{4x}{4}  =  \frac{60}{4}}

⤑\sf{x = 15}

So, The number of antique houses in a village is 15.

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \bold{15}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ツ

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7 0
2 years ago
Please help! Use the Pythagorean theorem
Harrizon [31]

Answer:

its 10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
Verdich [7]

Answer:

4t

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

= (5t + 1t) - 2t

= (6t) - 2t

= 4t

4t is your answer.

~

3 0
3 years ago
Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-s
notsponge [240]

Answer:

a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) 0 is the most likely value for X.

Step-by-step explanation:

For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.

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.

No-show rate of 10%.

This means that p = 0.1

Four travelers who have made hotel reservations in this study.

This means that n = 4

a) What is the probability that at least two of the four selected will turn to be no-shows?

This is P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)

In which

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

P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486

P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036

P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001

P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523

0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.

b) What is the most likely value for X?

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

P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561

P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916

P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486

P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036

P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001

X = 0 has the highest probability, which means that 0 is the most likely value for X.

7 0
3 years ago
The area of a piece of land that is in the shape of a triangle is 1/12 square mile. One dimension of this piec of land is 4/21.
Arisa [49]

Answer:

D2=21/24 mile

Step-by-step explanation:

Her it is not specified if it is base or height, it only talks about dimensions, so let's work with dimensions

A=1/12 mile^{2}

D1=4/21mile, D2=?

Area of a triangle A=\frac{b.h}{2}

A=((D1*D2)/2) → 2A=D1*D2 → D2=2A/D1 so D2=(2*1/12)/(4/21) =(1/6)/(4/21) = (1*21)/(6*4)=21/24 mile

7 0
3 years ago
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