2 Points

These dot plots show the lengths (in feet) from a sample of crocodiles and

alligators

Crocodi

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Alligator

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Length

What are the differences between the centers and spreads of these

distributions?

Select two choices: one for the centers and one for the spreads

D A Centers: The crocodiles have a lower median length than the

alligators

B. Centers: The crocodiles have a greater median length than the

alligators

c. Spreads: The lengths of the alligators are more spread out

D. Spreads. The lengths of the crocodiles are more spread out

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Answer:

16

Step-by-step explanation:

There are three possible equations: the first is used for inputs (x-values) in between negative infinity and -7, the second for inputs in between -7 and 2, and the third for inputs in between 2 and infinity. 7 is in between 2 and infinity so the third equation is applicable.

[tex]g(x)=(x+1)(x-5)[/tex]

[tex]g(7)=(7+1)(7-5)[/tex] Plug in the values

[tex]g(7)=(8)(2)[/tex] Simplify

[tex]g(7)=16[/tex]

Answer:

-8,-6,-4,-2 is an Arithmetic sequence, because there common difference is 2.

Answer:

f(x)=√x

Step-by-step explanation:

A parent function is something simple with just x

Answer:

f(x)=Square Root of x (choice B or the second one down)

Step-by-step explanation:

All the other choices have either a plus 3 or minus 3. A parent function is not going to have any type of number being added or subtracted to it.

Answer:

y = 1/4x + (any number)

Step-by-step explanation:

m = -8/2 = -4, the equation shown is y = -4x + 8

perpendicular is  y = 1/4x + (any number), you didn't say where the line was perpendicular.

Answer:

[tex]\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659[/tex] and [tex]\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661[/tex]

Step-by-step explanation:

The equation of the isotope decay is:

[tex]\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }[/tex]

14-Carbon has a half-life of 5568 years, the time constant of the isotope is:

[tex]\tau = \frac{5568\,years}{\ln 2}[/tex]

[tex]\tau \approx 8032.926\,years[/tex]

The decay time is:

[tex]t = 1315\,years + 2007\,years \pm 13\,years[/tex] (There is no a year 0 in chronology).

[tex]t = 3335 \pm 13\,years[/tex]

Lastly, the relative amount is estimated by direct substitution:

[tex]\frac{m(t)}{m_{o}} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\mp\frac{13\,years}{8032.926\,years} }[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{min} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{-\frac{13\,years}{8032.926\,years} }[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{min} \approx 0.659[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{max} = e^{-\frac{3335\,years}{8032.926\,years} }\cdot e^{\frac{13\,years}{8032.926\,years} }[/tex]

[tex]\left(\frac{m(t)}{m_{o}} \right)_{max} \approx 0.661[/tex]

Answer:

The probability that a selected consumer, given that is 70 years old, likes Crunchicles is 12.78%.

Step-by-step explanation:

The question is incomplete:

Three hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table.

                           18–24 25–34 35–55 55 and over Total

Liked Crunchicles   4       9       3 23                  39

Disliked Crunchicles 5        27      28 64              124

No Preference         7        27          10 93                 137

Total                        16        63      41 180            300

One consumer from the survey is selected at random. If the selected consumer is 70 years old, what is the probability that he/she likes crunchicles .

If the consumer is 70 years old is included in the category "55 and over" from this survey. There are 180 subjects in that category.

The number that likes Crunchicles and are 55 and over is 23.

If we calculate the probability as the relative frequency, we have:

[tex]P(\text{L }|\text{ 55+})=\dfrac{P(\text{L \& 55+})}{P(5\text{5+})}=\dfrac{23}{180}=0.1278[/tex]

L: Likes Crunchicles.

The probability that a selected consumer, given that is 70 years old, likes Crunchicles is 12.78%.

Answer:

0

Step-by-step explanation:

No one is there which satisfies the condition

Answer:

0 or 0/9 of the club members

Step-by-step explanation:

The only part of the data of members that have logged more than 1 1/5 but less than 1 3/5 hours is the members that logged 1 2/5 hours. There are no members that have logged 1 2/5 hours so our answer is 0 or 0/9.

Answer:

The solution set is x = 1 and x = -2

Step-by-step explanation:

Answer:

A. 20.5

Step-by-step explanation:

We can use the Pythagorean theorem to solve this equation for the missing side length, X.

a^2 + b^2 = c^2

We have a and b, we just need c, the hypotenuse.

14^2 + 15^2 = c^2

196 + 225 = c^2

421 = c^2

Now, we will square both sides:

The answer is about 20.5

Answer:

The null hypothesis is that all the different teaching methods have the same average test scores.

H0: μ1 = μ2 = μ3 = μ4 = μ5

The alternative hypothesis is that at least one of the teaching methods have a different mean.

Ha: at least one mean is different. (μ1 ≠ μi)

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above, let μ represent the average test scores for the teaching methods:

The null hypothesis is that all the different teaching methods have the same average test scores.

H0: μ1 = μ2 = μ3 = μ4 = μ5

The alternative hypothesis is that at least one of the teaching methods have a different mean.

Ha: at least one mean is different. (μ1 ≠ μi)

Answer:

y = [tex]y_{1}[/tex] + rise * 2/5

Step-by-step explanation:

Answer:

  5.8

Step-by-step explanation:

The angle bisector makes the triangle sides on either side of it proportional.

  AC/CD = AB/BD

  AC = CD·AB/BD

  AC = 2(8.1/2.8) = 8.1/1.4 ≈ 5.7857 . . . . substitute shown values, evaluate

  AC ≈ 5.8

Answer:

y=[x+1]-3 because it's at the end of the line

Answer:

D. It would be less steep

Step-by-step explanation:

The first graph moves at a rate of 5/1 which is a greater fraction than 3/4

Answer:

what she/he said

Step-by-step explanation:

Answer:

-8y +8v +24

Step-by-step explanation:

-8(y-v-3)

Multiply each term inside the parentheses by -8

-8y -v*-8 -3*-8

-8y +8v +24

___________________________________

Hey!!!

solution,

-8(y-v-3)

= -8y+8v+24

_________________________________

Here,

You have to remember these things:

Hope it helps.

Good luck on your assignment

Answer:

95°

Step-by-step explanation:

The angle on the 20TH street and 22ND street must add up to 180° so the answer is 95°

Answer:

This isnt right. Good try though

Step-by-step explanation:

Anyone know the answer?

Answer: x= 23/30

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] = [tex]\frac{10}{2}x -3[/tex]    reduce 10/2 to 5 because 10/2  is 5.

5/6 = 5x -3

+ 3         +3

23/6 = 5x   divide both sides by 5.

x= 23/30

Answer:

P(Y= 0) = 0.1

P(Y= 0) = 0.7

P(Y= 0) = 0.2

Step-by-step explanation:

Let Y be number of impurities that can be found in the well,

Let A denote the event that impurity A is randomly found in the well

Here Y can have three values i.e 0 , 1 and 2

✓It will take take the value of 0 when there is no impurity found in the well

✓It will take the value of 1 when when exactly one impurity vis found in the well

✓It will take the value of 2 when when both impurities vis found in the well

CHECK THE ATTACHMENT FOR DETAILED EXPLATION

Answer:

127.5

Step-by-step explanation:

Multiply 170 by 0.75

127.5

Answer:

3 divided by 4 = 0.75 = 3/4

0.75 x 170 = 127.5

or

170/1 x 3/4 = 510/4 = 127 1/2

1/2 = 0.5 = 1 divided by 2

127 + 0.5 = 127.5

127.5 is the answer

Hope this helps

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

the angles are congruent, and the 2 pairs of sides are proportional.

200/150 is 4/3 and 320/240 is 4/3 as well.

therefore Side-Angle-Side

Answer:

We conclude that the mean age of Canadian businesswomen has increased.

Step-by-step explanation:

We are given that according to a report released by CIBC entitled "Women Entrepreneurs: Leading the Charge," the average age for Canadian businesswomen in 2008 was 41.

The researchers randomly sample 97 Canadian businesswomen and ascertain that the sample mean age is 43.4. From past experience, it is known that the population standard deviation is 8.95.

Let [tex]\mu[/tex] = mean age of Canadian businesswomen.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41      {means that the mean age of Canadian businesswomen has decreased or remained same}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41     {means that the mean age of Canadian businesswomen has increased}

The test statistics that would be used here One-sample z-test statistics because we know about population standard deviation;

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

where, [tex]\bar X[/tex] = sample mean age of Canadian businesswomen = 43.4

             [tex]\sigma[/tex] = population standard deviation = 8.95

             n = sample of Canadian businesswomen = 97

So, the test statistics  =  [tex]\frac{43.4-41}{\frac{8.95}{\sqrt{97} } }[/tex]

                                     =  2.64

The value of z test statistic is 2.64.

Also, P-value of the test statistics is given by;

             P-value = P(Z > 2.64) = 1 - P(Z < 2.64)

                           = 1 - 0.99585 = 0.00415

Now, at 1% significance level the z table gives critical value of 2.33 for right-tailed test.

Since our test statistic is more than the critical value of z as 2.64 > 2.33, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean age of Canadian businesswomen has increased.

Answer:

the answer is 1/2,a0

Step-by-step explanation:

Answer:

I assume Josh and Peyton are his friends and both gave him advice on what to do with half of the money from the big lottery win.

Let's say Josh said "save it or invest it for your retirement" and Peyton said "use it to keep playing the lottery.

We will now look at the sense in each piece of advice!

Step-by-step explanation:

JOSH

By investing the $250,000 (half of the money won), Patrick will be sure that the money is available for him anytime and would even have gotten interest, by the time he's ready to use it.

PEYTON

By playing the lottery continuously, Patrick could get lucky once in a while and win big again. How big though?

Analyzing with the figures given,

$20 gets Patrick a lottery ticket.

$250,000 will get him 12,500 lottery tickets!

Whether he's buying the tickets at once or he'll play the lottery once in a while, I'll say he has good chances of winning big again.

So if the probability of winning big after purchasing up to 12,500 tickets is close to 1, Patrick should play the lottery with the $250,000

If the probability of winning big after purchasing 12,500 lottery tickets is close to 0 (closer to 0 than it is to 1) then Patrick should invest the $250,000 in retirement.

Answer:

19 marbles in each bag 28 left over

Step-by-step explanation:

the first step to this problem is to find out the number of marbles in each bag.

if there were 731 marbles and 37 bags, we need to divide 731 by 37.

731/37 = 19[tex]\frac{28}{37}[/tex]

therefore there are 19 marbles in each bag.

the second part of the question is to determine how many are left out or in other words how many numbers are "left over"

since the fraction is 28/37 there are 28 marbles that are left out of the bag.

feel free to ask questions, hope this helped you!

Answer:

y=2x-4

Step-by-step explanation:

Answer:

(4+4)/2 = 4

Hope this helps

Answer:

4

Step-by-step explanation:

1,2,2,4,4,6,6,7

The median is the number in the middle however there are an even amount of numbers so you get the number between 4 and 4 which is just 4

Answer:

The correct answer is B (24 units)

Step-by-step explanation:

Answer:

  27/8

Step-by-step explanation:

You seem to want to evaluate ...

  [tex]\dfrac{3a^{-3}b^2}{2a^{-1}b^0}[/tex]

I like to simplify the expression first, even though the order of operations would have you evaluate it as is.

  [tex]=\dfrac{3}{2}a^{-3-(-1)}b^{2-0}=\dfrac{3b^2}{2a^2}[/tex]

Substitute the given values for "a" and "b" and do the arithmetic.

  [tex]=\dfrac{3(-3)^2}{2(-2)^2}=\dfrac{3\cdot 9}{2\cdot 4}=\boxed{\dfrac{27}{8}}[/tex]