At a recent baseball game, anyone under age 9 was given one free hotdog.
Travis had to pay for the hotdog that he ate. How old must Travis be?

Answer:

23000

solution,

Arranging the data in ascending order:

12000, 12000 , 23000, 26000, 30000

N(total number of items)=5

Now,

[tex]median = ( \frac{n + 1}{2}) ^{th \: item} \\ \: \: \: \: \: \: = ( \frac{5 + 1}{2} ) ^{th \: item} \\ \: \: \: \: \: = ( \frac{6}{2} )^{th \: item} \\ \: \: \: = {3}^{rd\: item} [/tex]

Hope this helps..

Good luck on your assignment

Answer:

A. f(x) = x^2 + 4x + 3

D. f(x) = -2x^2 - 8x + 1

Step-by-step explanation:

The axis of symmetry is found by h = -b/2a  where ax^2 +bx +c

A. f(x) = x^2 + 4x + 3

  h = -4/2*1 = -2    x=-2

B. f(x) = x^2 - 4x - 5

h = - -4/2*1 = 4/2 =2  x=2  not -2

C. f(x) = x^2 + 6x + 2

h =  -6/2*1 = -3/2 =  x=-3/2  not -2

D. f(x) = -2x^2 - 8x + 1

h = - -8/2*-2 = 8/-4 =-2  x=-2  

E. f(x) = -2x^2 + 8x - 2

h = - 8/2*-2 = -8/-4 =2  x=2  not -2

Answer:

Hey there! The answer to this question is

A. f(x) = x^2 + 4x + 3

D. f(x) = -2x^2 - 8x + 1

Answer:

9 years

Step-by-step explanation:

Let's call the amount of years x. We can write

42 + x = 3(8 + x)

42 + x = 24 + 3x

2x = 18

x = 9

Answer:

c and I will talk to you later today or tomorrow morning and then I will

Step-by-step explanation:

email to you later today to see you and the kids are doing well and that you

Answer:

a) [tex]654.16-2.01\frac{165.4}{\sqrt{52}}=608.06[/tex]    

[tex]654.16+2.01\frac{165.4}{\sqrt{52}}=700.26[/tex]    

b) [tex]n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189[/tex]

So the answer for this case would be n=189 rounded up to the nearest integer

Step-by-step explanation:

Part a

[tex]\bar X=654.16[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=165.4 represent the sample standard deviation

n =52represent the sample size  

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom aregiven by:

[tex]df=n-1=52-1=51[/tex]

Since the Confidence is 0.95 or 95%, the significance [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value would be [tex]t_{\alpha/2}=2.01[/tex]

Now we have everything in order to replace into formula (1):

[tex]654.16-2.01\frac{165.4}{\sqrt{52}}=608.06[/tex]    

[tex]654.16+2.01\frac{165.4}{\sqrt{52}}=700.26[/tex]    

Part b

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

[tex]n=(\frac{z_{\alpha/2} s}{ME})^2[/tex]   (b)

The critical value for this case wuld be [tex]z_{\alpha/2}=1.960[/tex], replacing into formula (b) we got:

[tex]n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189[/tex]

So the answer for this case would be n=189 rounded up to the nearest integer

Hey there! I'm happy to help!

We see that if the river isn't moving at all the boat can move at 18 mph (most likely because it has an engine propelling it.)

We want to set up a proportion where our 21 miles downstream time is equal to our 15 miles upstream time so we can find the speed. A proportion is basically showing that two ratios are equal. Since our downstream distance and upstream distance can be done in the same amount of time, we will write it as a proportion.

We want to find the speed of the river. We will use r to represent the speed of the river. When going downstream, the boat will go faster, so it will have a higher mph. So, our speed going down is 18+r. When you are going upstream, it's the opposite, so it will be 18-r.

[tex]\frac{distance}{speed} =\frac{21}{18+r} = \frac{15}{18-r}[/tex]

So, how do we figure out what r is now? Well, one nice thing to know about proportions is that the product of the items diagonal from each other equals the product of the other items. Basically, that means that 15(18+r) is equal to 21(18-r). This is a very nice trick to solve proportions quickly. We see that we have made an equation and now we can solve it!

15(18+r)=21(18-r)

We use the distributive property to undo the parentheses.

270+15r=378-21r

We subtract 270 from both sides.

15r=108-21

We add 21 to both sides.

36r=108

We divide both sides by 36.

r=3

Therefore, the speed of the river is 3 mph.

You also could have noticed that 18mph to 21 mph is +3, and 18mph to 15 mph -3 in -3 mph, so the speed of the river is 3 mph. That would have been a quicker way to solve it XD!

Have a wonderful day!

Answer:

Step-by-step explanation:

142(.07)= 9.94 amount of the sales tax

$142+9.94= $151.94

Answer:

1 = 95

2 = 77

3 = 85

4 = 103

Step-by-step explanation:

Inscribed angles are half their arc that their 2 lines intersect.

Answer:

  A.  (2, 4)

Step-by-step explanation:

The ordered pairs represent (x, y). Since you have y =2x, this is the same as ...

  (x, 2x)

That is, the second number in the pair needs to be twice the first number in the pair. Since you know your times tables, you know that this is not the case for (1, 0), (10, 5) or (4, 12). Those values of x would give (1, 2), (10, 20), (4, 8).

It is the case that you have (x, 2x) for (2, 4).

The point (2, 4) lies on the graph of y = 2x.

Answer:

E. 6

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:

y = 2(0) + 6

y = 6

Therefore, our graph crosses the y-axis at 6.

Answer: 6

Step-by-step explanation: The equation of this line is written in slope-intercept form which is more commonly known as y = mx + b form.

In this form, the m or the coefficient of the x term represents the slope

of the line and the b or the constant term represents the y-intercept.

We can see that the y-intercept is 6.

Slope is the change in y over the change in x

Slope = (1-0) /( -3 - -4)

Slope = 1/1

Slope = 1

Answer:

(A)Cost of Rental A, C= 15h

 Cost of Rental B, C=5h+50

 Cost of Rental C, C=9h+20

(B)

i. Rental C

ii. Rental A

iii. Rental B

Step-by-step explanation:

Let h be the number of hours for which the barbeque will be rented.

Rental A: $15/h

Rental B: $5/h + 50

Rental C: $9/h + 20

The graph of the three models is attached below

(b)11.05-4.30

When you keep the barbecue from 11.05 to 4.30 when the football match ends.

Number of Hours = 4.30 -11.05 =4 hours 25 Minutes = 4.42 Hours

Rental C should be chosen as it offers the lowest cost.

(c)11.05-12.30

Number of Hours = 12.30 -11.05 =1 hour 25 Minutes = 1.42 Hours

Rental A should be chosen as it offers the lowest cost.

(d)If the barbecue is returned the next day, say after 24 hours

Rental B should be chosen as it offers the lowest cost.

Answer:

[tex] z= \frac{2.1-1.98}{0.08}= 1.5[/tex]

And we can use the normal standard table and the complement rule and we got:

[tex]P(z>1.5)= 1-P(Z<1.5) =1- 0.933= 0.067 \approx 0.07[/tex]

And the best answer would be:

C 0.07

Step-by-step explanation:

Let X the random variable who represent the amount of soda filled in large bottles and we know this:

[tex]\mu = 1.98, \sigma =\sqrt{0.0064}= 0.08[/tex]

And we want to find this probability:

[tex] P(X> \mu +1.5 \sigma = 1.98 +1.5*0.08 =2.1)[/tex]

And for this case we can use the z score formula given by:

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

And replacing we got:

[tex] z= \frac{2.1-1.98}{0.08}= 1.5[/tex]

And we can use the normal standard table and the complement rule and we got:

[tex]P(z>1.5)= 1-P(Z<1.5) =1- 0.933= 0.067 \approx 0.07[/tex]

And the best answer would be:

C 0.07

Answer:

90 degrees

Step-by-step explanation:

This question can be explained using the plan x and y axis.

Suppose you are moving from any positive point on x axis which can be considered Elm trail

let say point be (5,0).

Now you move at origin and

then take left turn,

your left turn at origin will be negative side of y axis(which can be considered Deer trail)

hence, you move on negative y axis.

Since we know that angle of intersection of x and y axis is 90 degrees.

Thus, angle measure of turn is 90 degrees.

Answer:

Quadrant II.

Step-by-step explanation:

Quadrant | has positive x and y coordinates.

Quadrant || has negative x and positive y coordinates.

Quadrant ||| has negative x and y coordinates.

Quadrant |V has positive x and negative y coordinates.

Since -3 is negative and 15 is positive, the answer is Quadrant II.

Answer:

The range of crying times within 68% of the data  is (5.9, 8.1).

The range of crying times within 95% of the data  is (4.8, 9.2).

The range of crying times within 99.7% of the data  is (3.7, 10.3).

Step-by-step explanation:

According to the Empirical Rule in a normal distribution with mean µ and standard deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

The mean and standard deviation are:

µ = 7

σ = 1.1

Compute the  range of crying times within 68% of the data as follows:

[tex]P(\mu-\sigma\leq X\leq \mu+\sigma)=0.68\\\\P(7-1.1\leq X\leq 7+1.1)=0.68\\\\P(5.9\leq X\leq 8.1)=0.68[/tex]

The range of crying times within 68% of the data  is (5.9, 8.1).

Compute the  range of crying times within 95% of the data as follows:

[tex]P(\mu-2\sigma\leq X\leq \mu+2\sigma)=0.95\\\\P(7-2.2\leq X\leq 7+2.2)=0.95\\\\P(4.8\leq X\leq 9.2)=0.95[/tex]

The range of crying times within 95% of the data  is (4.8, 9.2).

Compute the  range of crying times within 99.7% of the data as follows:

[tex]P(\mu-3\sigma\leq X\leq \mu+3\sigma)=0.997\\\\P(7-3.3\leq X\leq 7+3.3)=0.997\\\\P(3.7\leq X\leq 10.3)=0.997[/tex]

The range of crying times within 99.7% of the data  is (3.7, 10.3).

Answer:

(a) The probability that a randomly selected Time interval between irruption is longer than 84 minutes is 0.3264.

(b) The probability that a random sample of 13 time intervals between irruption has a mean longer than 84 minutes is 0.0526.

(c) The probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is 0.0222.

(d) The probability decreases because the variability in the sample mean decreases as we increase the sample size

(e) The population mean may be larger than 75 minutes between irruption.

Step-by-step explanation:

We are given that a geyser has a mean time between irruption of 75 minutes. Also, the interval of time between the eruption is normally distributed with a standard deviation of 20 minutes.

(a) Let X = the interval of time between the eruption

So, X ~ Normal([tex]\mu=75, \sigma^{2} =20[/tex])

The z-score probability distribution for the normal distribution is given by;

                            Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time between irruption = 75 minutes

           [tex]\sigma[/tex] = standard deviation = 20 minutes

Now, the probability that a randomly selected Time interval between irruption is longer than 84 minutes is given by = P(X > 84 min)

    P(X > 84 min) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{84-75}{20}[/tex] ) = P(Z > 0.45) = 1 - P(Z [tex]\leq[/tex] 0.45)

                                                        = 1 - 0.6736 = 0.3264

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

(b) Let [tex]\bar X[/tex] = sample time intervals between the eruption

The z-score probability distribution for the sample mean is given by;

                            Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time between irruption = 75 minutes

           [tex]\sigma[/tex] = standard deviation = 20 minutes

           n = sample of time intervals = 13

Now, the probability that a random sample of 13 time intervals between irruption has a mean longer than 84 minutes is given by = P([tex]\bar X[/tex] > 84 min)

    P([tex]\bar X[/tex] > 84 min) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{84-75}{\frac{20}{\sqrt{13} } }[/tex] ) = P(Z > 1.62) = 1 - P(Z [tex]\leq[/tex] 1.62)

                                                        = 1 - 0.9474 = 0.0526

The above probability is calculated by looking at the value of x = 1.62 in the z table which has an area of 0.9474.

(c) Let [tex]\bar X[/tex] = sample time intervals between the eruption

The z-score probability distribution for the sample mean is given by;

                            Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time between irruption = 75 minutes

           [tex]\sigma[/tex] = standard deviation = 20 minutes

           n = sample of time intervals = 20

Now, the probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is given by = P([tex]\bar X[/tex] > 84 min)

    P([tex]\bar X[/tex] > 84 min) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{84-75}{\frac{20}{\sqrt{20} } }[/tex] ) = P(Z > 2.01) = 1 - P(Z [tex]\leq[/tex] 2.01)

                                                        = 1 - 0.9778 = 0.0222

The above probability is calculated by looking at the value of x = 2.01 in the z table which has an area of 0.9778.

(d) When increasing the sample size, the probability decreases because the variability in the sample mean decreases as we increase the sample size which we can clearly see in part (b) and (c) of the question.

(e) Since it is clear that the probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is very slow(less than 5%0 which means that this is an unusual event. So, we can conclude that the population mean may be larger than 75 minutes between irruption.

Answer:

873

Step-by-step explanation:

so the equation is: 5x+1

sum is:

[tex] \frac{first \: one \: + \: last \: one}{2} \times quantity \: of \: terms \\ [/tex]

we have 6( 5×1+1) to 91 (5×18+1)

so we have 18 terms

then:

[tex] \frac{91 + 6}{2} \times 18 = 873[/tex]

Answer:

83.6155156

Step-by-step explanation:

[tex] \frac{ {16}^{2} - 17 }{ \sqrt{2.3 + 5.87} } \\ \\ = \frac{ 256 - 17 }{ \sqrt{8.17} } \\ \\ = \frac{ 239}{2.85832119 } \\ \\ = 83.6155156 \\ [/tex]

Answer:

Step-by-step explanation:

[tex]x + 3 = 6[/tex]

Move constant to R.H.S and change its sign:

[tex]x = 6 - 3[/tex]

Calculate the difference

[tex]x = 3[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

585m

Step-by-step explanation:

using SOHCAHTOA to solve the question

the angle of elevation is 45° so therefore the answer is 585 m

Answer:

(14,4) (21, 6) (28,8) If they had six losses, they would have 21 wins

Step-by-step explanation:

According to the information given, for every 7 wins, they lose 2 games. That means in order to finish the table, we have to find multiples of 7 and 2. If they won 14 games, they would have 4 losses. This is because since 14 is twice the value of 7, they would have lost twice the number of games.

The next would be 21 wins since 7x3 is 21 and 6 losses since 2x3 is 6

The last one would be 28 wins (7x4) and 8 losses (2x4)

If they had six losses, they would have 21 wins

Answer:

The true statement is "Opposite numbers have different signs but are the same distance from zero."

Some examples of opposite numbers are 1 and -1, 6 and -6, and 10 and -10.

Answer:

Opposite numbers have different signs but are the same distance from zero.

Step-by-step explanation:

Answer:

x=98°

Step-by-step explanation:

The angles of a triangle must equal 180°.

To get the third angle (G) you must do: 180°-53°-45°

That will give you 82°

Anglr G and angle x create a straight line which is 180°.

so to get the answer you must do 180°-G=x

180°-82°=98°

Therefore x=98°

Answer:

[tex]\boxed{\sf \ \ \ a=-2, \ b = 1 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

saying that the function is continuous means that you cannot have a "jump" in the graph of the function

so we want

a*(-3)+b=7 and a*4+b=-7

it comes

   (1) -3a + b = 7

   (2) 4a + b = -7

(2)-(1) gives 4a + b + 3a - b =7a = -7-7 = -14

so a = -14/7 = -2

we replace in (1)

b = 7 + 3*(-2) = 7 - 6 = 1

hope this helps

Answer:

4,224 in ^3

Step-by-step explanation:

5184-960 (subtract the cut-out from the entire shape)

Answer:

I noticed a pattern:

3 * 2 + 6 = 12 and 2 * 2 + 5 = 9

This means that a*b = 2a + b.

Answer:

168

Step-by-step explanation:

The fraction is 48/168.

48 + 168 = 216

48/168 = 2/7

The value of the denominator is 168.

We can solve simultaneous equations to get the x and y coordinates.

x + y = 216

x/y = 2/7

x = 48

y = 168