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3 years ago

Which number best represents a helicopter ascending 112 ft? A. −112 B. +112 C. 112+ D. 112−

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

Answer:

B +112

Step-by-step explanation:

svet-max [94.6K]3 years ago

3 0

If ground be x axis and helicopter is at y distance then the point should be (x,112)

As we know that

In Q1 and Q2 ,y>0
in Q3 and Q4,y<0

The distance should be written as

+112ft

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Select the correct answer.

ss7ja [257]

Answer:

B. (2,-5)

Step-by-step explanation:

The vertex of the function can be found in the most lower value that the function can have.

Since we have an ABS function involved we need to analyse it at first

We know that |x| = x if x> 0 and |x| = -x if x< 0

if we now change x by x-2 (the content of our ABS function involved, we have the following

|x-2| = x-2 if x-2> 0

|x-2| = -x+2 if x-2< 0

Those inequaiities have a common solution

x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.

So by evaluating x=2 in the given function we will obtain its vertex.

leading to f(2)=6 |2-2|-5= -5

Hence the point (2,-5) is the vertex of our function

5 0

3 years ago

At the carnival the ratio of people who won the ring toss game to lost it 5 : 3. If 45 people won, how many people would of lost

REY [17]

5 win : 3 lost

*9 *9

------- -----------

45 win : 27 lost

Answer: 27 lost

4 0

3 years ago

Read 2 more answers

9. If y varies directly with x and y = -3 when x = 6, find y when x = 14.

masya89 [10]

If y varies directly with x and y = -3 when x = 6, find y when x = 14.

We know if y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where k is called the constant of variation.

we are given y = -3 when x = 6

so substitute y = -3 and x = 6 to determine 'k'

k = y/x

k = -3/6 = -1/2

Now we have to find y when x = 14

so substituting x = 14 and k = -1/2 to find y

y = kx

y = -1/2 × 14 = -7

Therefore, the value of y = -7 when x = 14

10) If y is directly proportional to x and y = 4 when x = 3, find x when y = -12.

we are given y = 4 when x = 3

so substitute y = 4 and x = 3 to determine 'k'

k = y/x

k = 4/3

Now we have to find x when y = -12

so substituting y = -12 and k = 4/3 to find x

y = kx

x = y/k

x = [-12] / [4/3] = [-12×3] / [4]

x = -36/4

x = -9

Therefore, the value of x = -9 when x = 3

11)

If y varies directly with x and y = -6 when x = 2, find the constant of variation.

We are given

y = -6

x = 2

so substitute y = -6 and x = 2 in the equation

k = y/x

k = -6/2

k = -3

Therefore, the value of the constant of variation will be:

k = -3

7 0

3 years ago

What is 0.42 10 times as much?

alukav5142 [94]

Answer:

Answer is 4.2

Step-by-step explanation:

4 0

3 years ago

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5

masya89 [10]

Answer:

$z= \frac{3.44-2.54}{0.45}=2$

$P(X>3.44) = P(Z>2) = 0.025$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the grade points avergae of a population, and for this case we know the following properties

Where $\mu=2.54$ and $\sigma=0.45$

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

So we can find the z score for the value of X=3.44 in order to see how many deviations above or belowe we are from the mean like this:

$z= \frac{3.44-2.54}{0.45}=2$

So the value of 3.44 is 2 deviations above from the mean, so then we know that the percentage between two deviations from the mean is 95% and on each tail we need to have (100-95)/2 = 2.5% , because the distribution is symmetrical, so based on this we can conclude that:

$P(X>3.44) = P(Z>2) = 0.025$

5 0

4 years ago