You are opening boxes of cereal one at a time looking for your favorite prize, a Captain America decoder ring, which is in 15% of the boxes. How many boxes would you expect to open, on average, until you find your favorite prize

Answer:

Step-by-step explanation:

1.a.

[tex]f(x)=\dfrac{5}{x} \ so\\\dfrac{f(x)-f(a)}{x-a}=\dfrac{\dfrac{5}{x}-\dfrac{5}{a}}{x-a}=\dfrac{\dfrac{5*a-5*x}{x*a}}{x-a}\\ = \dfrac{\dfrac{-5(x-a)}{x*a}}{x-a}=\dfrac{-5}{ax}[/tex]

b.

[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{\dfrac{5}{x+h}-\dfrac{5}{x}}{h}=\dfrac{\dfrac{5(x-x-h)}{(x+h)x}}{h}=\dfrac{-5h}{(x+h)xh}=\dfrac{-5}{(x+h)x}[/tex]

2.a.

[tex]f(x)=\dfrac{1}{x-1} \ for \ x \ different \ from \ 1 \ \ \ so\\\dfrac{f(x)-f(a)}{x-a}=\dfrac{\dfrac{1}{x-1}-\dfrac{1}{a-1}}{x-a}=\dfrac{\dfrac{a-1-x+1}{(x-1)(a-1)}}{x-a}\\ = \dfrac{\dfrac{-(x-a)}{(x-1)(a-1)}}{x-a}=\dfrac{-1}{(x-1)(a-1)}[/tex]

b.

[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{\dfrac{1}{x+h-1}-\dfrac{1}{x-1}}{h}=\dfrac{\dfrac{x-1-x-h+1}{(x+h-1)(x-1)}}{h}=\dfrac{-h}{(x+h-1)(x-1)h}=\dfrac{-1}{(x+h-1)(x-1)}[/tex]

3.a.

[tex]f(x)=\dfrac{1}{x^2} \ so\\\dfrac{f(x)-f(a)}{x-a}=\dfrac{\dfrac{1}{x^2}-\dfrac{1}{a^2}}{x-a}=\dfrac{\dfrac{a^2-x^2}{x^2a^2}}{x-a}\\ = \dfrac{\dfrac{(a-x)(a+x)}{x^2a^2}}{x-a}=\dfrac{-(a+x)}{a^2x^2}[/tex]

b.

[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{\dfrac{1}{(x+h)^2}-\dfrac{1}{x^2}}{h}=\dfrac{\dfrac{x^2-(x+h)^2}{(x+h)^2x^2}}{h}=\dfrac{(x-x-h)(x+x+h)}{(x+h)^2x^2h}=\dfrac{-(2x+h)}{(x+h)^2x^2}[/tex]

hope this helps

Answer:

See answers below.

Step-by-step explanation:

[tex]3a. \:\frac{\frac{1}{x^2}-\frac{1}{a^2}}{x-a}=\frac{\frac{a^2-x^2}{a^2x^2}}{x-a}=-\frac{x+a}{a^2x^2}\\\\3b.\:\frac{\frac{1}{\left(x+h\right)^2}-\frac{1}{x^2}}{h}=\frac{\frac{-2xh-h^2}{x^2\left(x+h\right)^2}}{h}=-\frac{2x+h}{x^2\left(x+h\right)^2}[/tex]

Best Regards!

Answer:

The 98% confidence interval for the mean waste recycled per person per day for the population of Washington

(1.2878 ,1.9122)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 13

The mean waste recycled per person per day

                                                               x⁻ =  1.6 pounds

The standard deviation of the sample 's' = 0.43 pounds

Degrees of freedom

ν = n-1 = 13 -1 =12

t₀.₀₁ = 2.618

step(ii):-

The 98% confidence interval for the mean waste recycled per person per day for the population of Washington

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](1.6 - 2.618 \frac{0.43}{\sqrt{13} } , 1.6 - 2.618 \frac{0.43}{\sqrt{13} } )[/tex]

( 1.6 - 0.3122 , 1.6 +0.3122)

(1.2878 ,1.9122)

Final answer:-

The 98% confidence interval for the mean waste recycled per person per day for the population of Washington

(1.2878 ,1.9122)

Answer:

Solution,

[tex]h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13[/tex]

hope this helps...

Good luck on your assignment..

Answer:

h(x)=9x-13

Step-by-step explanation:

We want to find out what h(x) is. We know what h(x) is equal to, which is

h(x)= f(x)+g(x)

We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.

h(x)= (2x-1)+(7x-12)

Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.

h(x)=(2x+7x)+(-1+-12)

Add 2x and 7x.

h(x)=(2+7)(x)+(-1+-12)  

h(x)= 9x+(-1+-12)

Add -1 and -12.

h(x)= 9x+(-13)

h(x)=9x-13

Answer:

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

Step-by-step explanation:

[tex]y = mx + c[/tex]

Here,

In this equation ,

[tex]2y - 3x = 8[/tex]

to find the value of m or the value of slope we have to solve for y

Let's solve,

[tex]2y - 3x = 8 \\ 2y = 8 + 3x \\ \frac{2y}{2} = \frac{8 + 3x}{2} \\ y = 4 + \frac{3x}{2} \\ y = \frac{3x}{2} + 4[/tex]

So, the slope is,

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

Answer:

2731

Step-by-step explanation:

3 - 1 = 2 = 2^1

11 - 3 = 8 = 2^3

43 - 11 = 32 = 2^5

171 - 43 = 128 = 2^7

683 - 171 = 512 = 2^9

Following the pattern, add 2^11 to 683.

683 + 2^11 = 683 + 2048 = 2731

Hi,

We have the sequence 1 , 3 , 11 , 43 , __.

Let us say  [tex]a_{1}=1 , a_{2}=3 , a_{3}=11 , a_{4}=43[/tex]  and it is required to find out [tex]a_{5}[/tex] .

As, we can see the pattern from the given four terms that,

[tex]a_{2}=a_{1}+2[/tex] i.e. [tex]a_{2}=a_{1}+2^{1}[/tex]

[tex]a_{3}=a_{2}+8[/tex] i.e. [tex]a_{3}=a_{1}+2^{3}[/tex]

[tex]a_{4}=a_{3}+32[/tex] i.e. [tex]a_{4}=a_{1}+2^{5}[/tex]

Since, the next term is obtained by adding the previous terms by odd powers of two.

Therefore, [tex]a_{5}=a_{4}+2^{7}[/tex] i.e. [tex]a_{5}=a_{4}+128[/tex] i.e [tex]a_{5}=43+128[/tex] i.e. [tex]a_{5}=171[/tex]

So, [tex]a_{5}=171.[/tex]

Hence, the next term of the sequence is 171.

Let us say  [tex]a_{1}=1 , a_{2}=3 , a_{3}=11 , a_{4}=43[/tex], [tex]a_{5}[/tex] [tex]= 683[/tex] and it is required to find out [tex]a_{6}[/tex].

Therefore, [tex]a_{6}=a_{5}+2^{9}[/tex] i.e. [tex]a_{6}=a_{5}+512[/tex] i.e [tex]a_{6}=683+512[/tex] i.e. [tex]a_{6}=1195[/tex]

So, [tex]a_{6}=1195.[/tex]

Hence, the next term of the sequence is 1195.

Answer:

About 7 degrees

Step-by-step explanation:

[tex]45=9/5C+32 \\\\13=9/5C \\\\C\approx 7[/tex]

Hope this helps!

Answer:

The answer is 7 °C.

Step-by-step explanation:

Using the formula given, we can see that we are inputting a Fahrenheit value to solve for a Celsius value. Therefore, we just need to plug it in to the formula.

[tex]45 = \frac{9}{5}C +32[/tex].

Now, we can subtract 32 from both sides to isolate [tex]\frac{9}{5} C[/tex] from the rest of the equation. This gives us [tex]13 = \frac{9}{5} C[/tex].

Now, we just multiply by the reciprocal of the fraction in front of C to make it vanish and also apply that process to 13. Therefore, we do this:

[tex]\frac{5}{9} * 13 = 7.22222[/tex]

Therefore, C ≈ 7° because of rounding requirements.

Answer:

9 pizzas

Step-by-step explanation:

We can use ratios to solve

6/7               x pizza

------------  = ------------

2/21 hour         1 hour

Using cross products

6/7 *1 = 2/21 x

Multiply each side by 21/2

6/7 * 21/2 = x

Rewriting

6/2 * 21/7 =x

3 *3 =x

9

9 pizzas

Answer:

The 95% confidence interval for the average hourly wage of all information system managers is (39.14,42.36)

Step-by-step explanation:

In order to calculate the 95% confidence interval for the average hourly wage we would have to calculate first the margin of error as follows:

ME=t0.05/2,n-1s/√n

for n=75, t0.025,74=1.993

Therefore, ME=1.993*7/√75

ME=1.61

Therefore, the 95% confidence interval for the average hourly income of all syatem manager would be as follows:

(X-ME,X+ME)=(40.75-1.61,40.75+1.61)

=(39.14,42.36)

Answer:

,.

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

Answer:

C(x) = .95x + 37

The slope is .95 dollars per mile  and the y intercept is 37 dollars

Step-by-step explanation:

the flat rate is 37 plus .95 dollars a mile

C(x) = .95x + 37

This is in the form y = mx+b where m is the slope and b is the y intercept

The slope is .95 dollars per mile  and the y intercept is 37 dollars

Answer:

equation which represent this situation is 30 - 13x/6 =4

Solution to this equation is x = 12

As we see that there is one equation and degree of x is one thus there is one solution.

Step-by-step explanation:

Total no. of chocolates with Jonathan = 30

 no. of chocolates given to David IS x

Given

He then gives Sarah half the number of chocolates that he gave David

no. of chocolates given to Sarah = 1/2 of no. of chocolates given to David

no. of chocolates given to Sarah = 1/2 of x = x/2

Again given

gives Lily two-thirds of what he gave David. After giving away the chocolates

no. of chocolates given to Lily = 2/3 of no. of chocolates given to David

no. of chocolates given to Lily = 2/3 of x = 2x/3

Total no. of chocolates given to David , Sarah and lily = x+x/2+2x/3

LCM of 2 and 3 is 6

Total no. of chocolates given to David , Sarah and lily =( 6x + 3x+ 4x)/6

Total no. of chocolates given to David , Sarah and lily =13x/6

Now, additional information in the problem is

After giving away the chocolates, Jonathan has 4 chocolates left

Chocolate left with Jonathan = Total no. of chocolates with Jonathan  - Total no. of chocolates given to David , Sarah and lily

4 = 30 - 13x/6

=> 4 + 13x/6  = 30

=> 13x/6 = 30-4 = 26

=> x = 26*6/13 = 2*6 =12

Thus, equation which represent this situation is 30 - 13x/6 =4

Solution to this equation is x = 12

As we see that there is one equation and degree of x is one thus there is one solution.

If we spin the spinner 11 times, 4 is the best prediction possible for the number of times it will land on pink.

To calculate the expected value of a random variable, simply multiply it with the respective probability and sum the respective products.

Given, total number of outcomes=11.

Total number of pink colored spin= 4

Probability of a spin resulting pink color=4/11

Expected number of spins of pink color= [tex]\sum xp(x)[/tex]

=(1×4/11)+(2×4/11)+(3×4/11)+(4×4/11)

=4/11(1+2+3+4)

=40/11

=3.63 ≈ 4

Thus, the best prediction possible for the number of times it will land on pink is 4.

Learn more about expected value, here:

https://brainly.com/question/28197299

#SPJ12

Incomplete:

Image of spinner is missing in the question, Therefore attaching it below:

Answer:

Mesopotamia

Step-by-step explanation:

The oldest clay tablets with mathematics date back over 4,000 years ago in Mesopotamia. The oldest written texts on mathematics are Egyptian papyruses.

Answer:

A.The probability that exactly six of Nate's dates are women who prefer surgeons is 0.183.

B. The probability that at least 10 of Nate's dates are women who prefer surgeons is 0.0713.

C. The expected value of X is 6.75, and the standard deviation of X is 2.17.

Step-by-step explanation:

The appropiate distribution to us in this model is the binomial distribution, as there is a sample size of n=25 "trials" with probability p=0.25 of success.

With these parameters, the probability that exactly k dates are women who prefer surgeons can be calculated as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.25^{k} 0.75^{25-k}\\\\\\[/tex]

A. P(x=6)

[tex]P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.00024*0.00423=0.183\\\\\\[/tex]

B. P(x≥10)

[tex]P(x\geq10)=1-P(x<10)=1-\sum_{i=0}^9P(x=i)\\\\\\[/tex]

[tex]P(x=0) = \dbinom{25}{0} p^{0}(1-p)^{25}=1*1*0.0008=0.0008\\\\\\P(x=1) = \dbinom{25}{1} p^{1}(1-p)^{24}=25*0.25*0.001=0.0063\\\\\\P(x=2) = \dbinom{25}{2} p^{2}(1-p)^{23}=300*0.0625*0.0013=0.0251\\\\\\P(x=3) = \dbinom{25}{3} p^{3}(1-p)^{22}=2300*0.0156*0.0018=0.0641\\\\\\P(x=4) = \dbinom{25}{4} p^{4}(1-p)^{21}=12650*0.0039*0.0024=0.1175\\\\\\P(x=5) = \dbinom{25}{5} p^{5}(1-p)^{20}=53130*0.001*0.0032=0.1645\\\\\\P(x=6) = \dbinom{25}{6} p^{6}(1-p)^{19}=177100*0.0002*0.0042=0.1828\\\\\\[/tex]

[tex]P(x=7) = \dbinom{25}{7} p^{7}(1-p)^{18}=480700*0.000061*0.005638=0.1654\\\\\\P(x=8) = \dbinom{25}{8} p^{8}(1-p)^{17}=1081575*0.000015*0.007517=0.1241\\\\\\P(x=9) = \dbinom{25}{9} p^{9}(1-p)^{16}=2042975*0.000004*0.010023=0.0781\\\\\\[/tex]

[tex]P(x\geq10)=1-(0.0008+0.0063+0.0251+0.0641+0.1175+0.1645+0.1828+0.1654+0.1241+0.0781)\\\\P(x\geq10)=1-0.9287=0.0713[/tex]

C. The expected value (mean) and standard deviation of this binomial distribution can be calculated as:

[tex]E(x)=\mu=n\cdot p=25\cdot 0.25=6.25\\\\\sigma=\sqrt{np(1-p)}=\sqrt{25\cdot 0.25\cdot 0.75}=\sqrt{4.69}\approx2.17[/tex]

Answer:

18 pounds of cashews are needed.

Step-by-step explanation:

Given;

A manager bought 12 pounds of peanuts for $30.

Price of peanut per pound P = $30/12 = $2.5

Price of cashew per pound C = $5

Price of mixed nut per pound M = $4

Let x represent the proportion of peanut in the mixed nut.

The proportion of cashew will then be y = (1-x), so;

xP + (1-x)C = M

Substituting the values;

x(2.5) + (1-x)5 = 4

2.5x + 5 -5x = 4

2.5x - 5x = 4 -5

-2.5x = -1

x = 1/2.5 = 0.4

Proportion of cashew is;

y = 1-x = 1-0.4 = 0.6

For 12 pounds of peanut the corresponding pounds of cashew needed is;

A = 12/x × y

A = 12/0.4 × 0.6 = 18 pounds

18 pounds of cashews are needed.

Answer:

  a(1) = 10

  a(n) = a(n-1)·0.6

Step-by-step explanation:

The first term of the sequence is the one listed first: 10. That means a(1) = 10.

The next term of the geometric sequence will be the first term multiplied by the common ratio. That ratio can be found as the ratio of the second term to the first:

  r = 6/10 = 0.6

So, the recursive formula is ...

  a(n) = a(n-1)·r

  a(n) = a(n-1)·0.6

Answer:

 a(1) = 10

 a(n) = a(n-1)·0.6

Answer:

To convert Hectometers to kilometers you divide by 10:

8.7 / 10 = 0.87 kilometer

8.7 hectometers = 87 kilometers = FALSE.

Multiply centigrams by 10 to get milligrams:

4.02 x 10 = 40.2

4.02 centigrams = 40.2 milligrams = TRUE.

Milliliter to liter:

Divide milliliters by 1000:

0.001 / 1000 = 0.000001

0.001 milliliter = 0.1 liter = FALSE.

Meter to kilometer:

Divide meters by 1000:

0.004 / 1000 = 0.000004

0.004 meter = 0.000004 kilometer = TRUE.

B and D are true ;D

Answer:

B and D hope this helps plz press the stars so I can see if this helped:)

u may friend me if u like.

Step-by-step explanation:

Answer:

first tile: x=5, second tile x=19, third tile x=29, last tile x=6

Step-by-step explanation:

Ohhh is that edmentum i do that too! ;)

(x-1)^3=64

x-1=4

x=5

(x-3)^5=2^20

x-3=2^4

x-3=16

x=19

(x-4)^3=5^6

x-4=25

x=29

the last one has to be x=6

Answer:  (b) reflected over the y-axis and rotated 180°

Step-by-step explanation:

The simplest transformation is a reflection over the x-axis.

Reflection over the x-axis is the same as reflected over the y-axis and rotating 180°.

Reflection over y -axis changes the sign of the x-coordinate

Z = (x, y)   →     Z' = (-x, y)

Rotation of 180° changes the signs for both the x- and y-coordinates.

Z' = (-x, y)    →   Z' = (x, -y)

A = (-4, 2)    →     A'' = (-4, -2)  

B = (-4, 1)     →     A'' = (-4, -1)  

C = (-1, 1)      →     A'' = (-1, -1)  

D = (-1, 2)     →     A'' = (-1, -2)  

Answer:

1.3888888 ft^3

Step-by-step explanation:

We need to find the volume

V = l*w*h

V = 24*10*10

V =2400 in^3

We want cubic ft

Divide by 12 for each foot

12*12*12 = 1728 ft^3

2400/1728 =1.3888888 ft^3

Answer:

[tex] = 1.388889 {ft}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 10 \times 24 \times 10 \\ = 2400 {in}^{3} [/tex]

we know that,

[tex]1 \: \: in = 0.833333ft \\ x = 2400 \\ use \: \: cross \: \: \: multipication \\ 2400 = 0.833333x \\ \frac{2400}{0.833333} = \frac{0.833333x}{0.833333} \\ x = 1.388889 {ft}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Brainliest

Step-by-step explanation:

2x+2 = 5x-10

3x=12

x=4

Answer:

x = 4

Step-by-step explanation:

2x + 2 = 5x - 10

Subtract 2x from both sides

2x + 2 - 2x = 5x - 10 - 2x

2 = 3x - 10

Add 10 to both sides

2+10 = 3x - 10 + 10

12 = 3x

Divide both sides by 3

12/3 = 3x/3

4 = x

x = 4

Answer:

[tex] 9.9676 - 2.326*0.5904 =8.594[/tex]

[tex] 9.9676 + 2.326*0.5904 =11.341[/tex]

Step-by-step explanation:

Notation

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

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

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

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)

For this case the 9% confidence interval is given by:

[tex] 8.8104 \leq \mu \leq 11.1248[/tex]

We can calculate the mean with the following:

[tex]\bar X = \frac{8.8104 +11.1248}{2}= 9.9676[/tex]

And we can find the margin of error with:

[tex] ME= \frac{11.1248- 8.8104}{2}= 1.1572[/tex]

The margin of error for this case is given by:

[tex] ME = t_{\alpha/2}\frac{s}{\sqrt{n}} = t_{\alpha/2} SE[/tex]

And we can solve for the standard error:

[tex] SE = \frac{ME}{t_{\alpha/2}}[/tex]

The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:

[tex] SE = \frac{1.1572}{1.96}= 0.5904[/tex]

Now for the 98% confidence interval the significance is [tex]\alpha=1-0.98= 0.02[/tex] and [tex]\alpha/2 = 0.01[/tex] the critical value would be 2.326 and then the confidence interval would be:

[tex] 9.9676 - 2.326*0.5904 =8.594[/tex]

[tex] 9.9676 + 2.326*0.5904 =11.341[/tex]

Answer:

9a + 18

Step-by-step explanation:

the distributive property is pretty much just telling you to multiply this out in this case so you take 9 times a and get 9a and then multiply 9 by 2 and get 18

Answer:

The answer would be 3.14

Step-by-step explanation:

6.28

2 π

≈ 6.28

  2 ⋅ 3.14 = 1

π r 2 ≈ 3.14 ⋅ 1 2 =

3.14

Hope that was helpful.Thank you!!!

Answer:

Step-by-step explanation:

Circumference = 6.28 units

2πr = 6.28

2*3.14 *r = 6.28

           [tex]r=\frac{6.28}{2*3.14}\\\\[/tex]

           r = 1 unit

Area =πr²

        = 3.14 * 1 * 1

       = 3.14 square units

Answer:

B

Step-by-step explanation:

F(x) = x^3 - 5x^2 - 6x

F(x)=x(x^2-5x-6)

F(x)=x(x-6)(x+1)

So, x=0,-1,6

Answer:

2.17609

Step-by-step explanation:

Easiest and fastest way is to just directly plug log base 10 of 150 into the calc, as it is a nasty decimal.

Answer:

y=2 and x=7

Step-by-step explanation:

x-2y=3         equation 1

2x+4=18        equation 2    

first we will find the value of x by using equation 2

2x+4=18

subtracting 4 on both sides to find the value of x

2x+4-4=18-4

2x=14

dividing 2 on both sides

2x/2=14/2

x=7

putting the value of x in equation 1

(7)-2y=3

subtracting 7 on both sides

7-7-2y=3-7

-2y=-4

dividing -2 on both sides

y=2

i hope this will help you :)

Answer:

0.0154 = 1.54% probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 6.3, \sigma = 0.6, n = 42, s = \frac{0.6}{\sqrt{42}} = 0.0926[/tex]

Find the probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night.

This is 1 subtracted by the pvalue of Z when X = 6.5.

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

By the Central Limit Theorem

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

[tex]Z = \frac{6.5 - 6.3}{0.0926}[/tex]

[tex]Z = 2.16[/tex]

[tex]Z = 2.16[/tex] has a pvalue of 0.9846

1 - 0.9846 = 0.0154

So

0.0154 = 1.54% probability that average sleeping time for a randomly selected sample of 42 students is more than 6.5 hours per night.

Answer:

Here is the complete question:

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0<=X<=5.

Answer is C (the third option)

Step-by-step explanation:

Basically in exponential growth a quantity may increase over time. When a quantity increases of decreases by equal or same percent over equal period of times this means that the quantity increases or decreases exponentially. I have attached the image of the correct option.

Answer:

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval Graph?

Step-by-step explanation:

Edge 2022

Answer:

A

Step-by-step explanation:

Her first error is,

C. She made a computational error when multiplying to find the unit price of the two cartons.

We have to given that,

Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy.

Here, A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.

And, A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39.

Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg

Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg

The 12-egg carton has the lower unit cost, so it is the better buy.

Here, It's first error is,

She made a computational error when multiplying to find the unit price of the two cartons.

Instead of dividing the cost of the 18-egg carton by the number of eggs, she multiplied the cost by 18, which resulted in an incorrect unit price.

Hence, It's first error is,

She made a computational error when multiplying to find the unit price of the two cartons.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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