there are 38 students involved in planning the homecoming parade of these students 15 are boys and 23 are girls if two members are selected to lead the parade what is the probability that both are girls

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Answer:

Step-by-step explanation:

Answer:

[tex]x=2.3\text{ only }[/tex]

Step-by-step explanation:

We are given the second derivative:

[tex]g^\prime^\prime(x)=0.1x^5-0.29x^4-0.694x^3+1.9136x^2[/tex]

And we want to find the values for -3 < x < 4 in which the graph of g has a point of inflection where the concavity changes from concave up to down.

First, recall that inflection points occur whenever g''(x) = 0 or is undefined.

And that:

Graphing the function (please refer below for the graph), we can see that g''(x) has an inflection point at x = -2.6, 0, 2.3, and 3.2.

If g''(x) changes from concave up to concave down, the values before and after that inflection point must be positive and then negative.

We can see that g''(x) is only positive for the values before the inflection points at x = 0 and x = 2.3.

However, for values after the inflection points, only x = 2.3 becomes negative.

Therefore, since at x = 2.3, the graph changes from positive to negative, this is where the graph of g changes from concave up to concave down.

Notes:

For the point x = 0, the graph stayed positive both before and after x = 0.

Therefore, g does not have an inflection point at x = 0.

Answer:

The z score for your flight's taxi time is of 2.14.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

An airline claims that its average taxi time is 15 minutes, and the standard deviation is 1.4 minutes.

This means that [tex]\mu = 15, \sigma = 1.4[/tex]

On a flight with this airline, you observe that the taxi time is 18 minutes. Calculate the z score for your flight's taxi time.

This is Z when [tex]X = 18[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 15}{1.4}[/tex]

[tex]Z = 2.14[/tex]

The z score for your flight's taxi time is of 2.14.

You can convert the variate which tracks heights of trees to standard normal variate. That value of standard normal variate is called the z score and shows the area of the considered area in the plot of the standard normal distribution.

The z score for our flight's taxi time is approx 2.14286

Suppose you  have got a normal distribution variate with mean  [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] (let the variate is denoted by X), then we have

[tex]X \sim N(\mu, \sigma)[/tex]

To convert it to standard normal distribution with mean 0 and the standard deviation as 1 ( [tex]Z \sim N(0,1)[/tex] ), we have:

[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]

For the given case we have:

Let the average taxi time be tracked by random variable X, then, as the mean time is 15 minutes, and the standard deviation 1.4 minutes , thus,

[tex]X \sim N(15, 1.4)[/tex]

Converting it to standard variate:

[tex]Z = \dfrac{X - 15}{1.4}[/tex]

Since the observed taxi time was 18 minutes, thus, we have X = 18,

Getting the z score:

[tex]Z = \dfrac{18 - 15}{1.4} = \dfrac{3}{1.4} \approx 2.14286[/tex]

Thus,

The z score for our flight's taxi time is approx 2.14286

Learn more here about normal distribution here:

brainly.com/question/14989264

Answer:

Answer: (8,12) Third option

Step-by-step explanation:

Equivalent Ratios

Nardia plotted some points showing equivalent ratios. The points shown in the graph are: (2,3), (4,6), (10,15)

The ratios of the points in the form y:x are:

[tex]\frac{3}{2}[/tex]

[tex]\frac{6}{4}=\frac{3}{2}[/tex]

[tex]\frac{15}{10}=\frac{3}{2}[/tex]

Note all the ratios are equivalent.

From the ordered pairs provided in the choices, only one of them has the same ratio y:x.

Point (12,8) has a ratio:

[tex]\frac{12}{8}=\frac{3}{2}[/tex]

Answer: (8,12) Third option

Answer:

angle C=93 degrees

Step-by-step explanation:

arc AB=78 degrees

arc ABC=2x105 degrees=210 degrees

arc AD=360-210-42=108 degrees

arc=DAB=78+108=186 degrees

angle C=1/2(186)=93 degrees

Answer:

18 ways

Step-by-step explanation:

The computation of the number of ways that could be choose your dinner as follows:

= 3 meat choices × 3 vegetable choices × 2 desserts

= 18 ways

By multiplying all the three things we can determined the number of ways

Answer:

The equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

The graph of the equation line is also attached below.    

Step-by-step explanation:

Given

To determine

We have to determine the equation in Point-Slope Form.

We know that the Point-slope form of a line equation is defined as

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case:

substituting the values m = 3/4 and the point (x₁, y₁) = (-4, -12) in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-\left(-12\right)=\frac{3}{4}\left(x-\left(-4\right)\right)[/tex]

Apply rule:  [tex]-\left(-a\right)=a[/tex]

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

Therefore, the equation in Point-slope form of a line that has a slope of 3/4 and passes through the point (-4, -12) is:

[tex]y+12=\frac{3}{4}\left(x+4\right)[/tex]    

The graph of the equation line is also attached below.    

13.5-6.48=7.02

Step-by-step explanation:

You just pine them up and subtract. So the decimal points would be one under another. The 6 would be under the 3. Lastly the 4 would be under the 5 and the 8 would be beside the 4. Then you just subtract...or use a calculator

Answer: -26/15

Step-by-step explanation:

8+7 cause f(x) is 8

Answer:

√130

Step-by-step explanation:

_______________________

Answer:

{0, 1, 2, 3, 4, 5,....} ;

{0, 1, 2, 3} ;

Step-by-step explanation:

Number of insect on a randomly selected plant

The number of insect in such an experiment will be an integer value ;

Hence, sample space will be ;

{0, 1, 2, 3, 4, 5,....}

B.) Event of at most three insects:

Number of insects = 0 ;

Number of insect = 1 ;

Number of insect = 2 ;

Number of insect = 3 ;

n ≤ 3 {x : x ≤ 3}

{0, 1, 2, 3}

3.)

Each possible outcome in the sample space cannot be equally likely due to the fact that the number of insects on the selected plants will vary. With some plants having none to large number of insects while some have small amount of insects.

Answer:

No wheel shown

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

Answer:

BD is just equal to the sum of BC and CD.

So we have: BD = x + x + 5

Simplifying, we have BD = 2x+5

Let me know if this helps!

Answer:x= -1/2

Step-by-step explanation:

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

Step-by-step explanation:

I'm thinking you are showing 2X^5 where 5 is the exponent. if so then it's the 5th degree

Answer:

first option

Step-by-step explanation:

the working is reallly long im lazy to type hehe sorry

Answer:

Option A

Hope this helps! :)

Answer:

The value of A ,when r=5 then A = 14

9514 1404 393

Answer:

  C.  Reflecting over the y-axis and then translating to the right 8 units

Step-by-step explanation:

Reflection over the line x=4 gives you the transformation ...

  (x, y) ⇒ (2·4 -x, y) = (-x +8, y)

This is precisely the same transformation you get by reflection over the y-axis:

  (x, y) ⇒ (-x, y)

followed by translation to the right 8 units:

  (-x, y) ⇒ (-x +8, y)

__

Reflection over x=4 is the same as reflection over y and translation right 8.

Answer:

x = 7.5

Step-by-step explanation:

x + 2 1/2 = 10

Subtraction Property of Equality

x = 7 1/2 as a mixed number = 15/2 as an improper fraction = 7.5 in decimal form

I usually prefer decimal form

Answer:

Step-by-step explanation:

100-25<= 7.5x

x >= 10

Answer:

Responsability+nopartyscapes=200$!!!!

Step-by-step explanation:

Answer:

1e+18

Step-by-step explanation:

3 years: 1,591.81 or 1,592

4 years: 1,623.65 or 1,624

Answer:

I think a

Step-by-step explanation: