Use the​ stem-and-leaf plot to list the actual data entries. What is the maximum data​ entry? What is the minimum data​ entry? ​Key: 2 | 6 equals 26 2 6 3 2 4 1 2 2 5 6 6 8 5 0 1 1 2 3 3 3 4 4 4 4 5 6 6 8 9 6 8 8 8 7 3 8 8 8 3

Answer:

[tex]r \approx 2.41\%[/tex]

Step-by-step explanation:

The computation of the approximate new interest rate is shown below:

As we know that there are four quarters in a year so

The new equation is

[tex]A = 250(1 + r)^{4t}[/tex]

Now to determine the value of interest rate,i.e r, so place this to the first equation.

So,

[tex]250(1.1)^{t} = 250(1 + r)^{4t}[/tex]

[tex]1.1^{t} = (1 + r)^{4t}[/tex]

1.1 = (1 + r)^4

[tex]\sqrt[4]{1.1} = 1 + r[/tex]

[tex]r = -1 + \sqrt[4]{1.1}[/tex]

[tex]r \approx 0.0241[/tex]

[tex]r \approx 2.41\%[/tex]

We simply applied the above formula so that the interest rate could come

Answer: graphing calculator!

Step-by-step explanation: if you’re looking for the square root of a # that isn’t a perfect square (ie. sqrt4, sqrt 36) then you have to use a calculator for that. however the idea behind square roots is just a # multiplied by itself to give the original #. just ask yourself “what can i multiply by itself to get the original number”. hope that helped !

Answer:

By multiplying the number by its power 2.

E.g= 4^2

Answer:

3: 2

Step-by-step explanation:

game Apps: education apps:

3: 2

Answer:

fg t f h 10

Step-by-step explanation:

Answer:

∠CED

or

∠DEC

its the same thing

Step-by-step explanation:

E is the angle

Answer:

828

Step-by-step explanation:

Missing leg of triangle:

√15²-12²= √225-144=√81=9

Triangle faces= 2*1/2*12*9= 108

Base= 20*9= 180

Front face= 20*15= 300

Back face= 20*12= 240

Total= 108+180+300+240= 828

Second choice

Answer:

Hope it helps you :)

And i hope you understand  

For store 1, it can be placed on 16 sites. Store 2 can be placed on 15 sites( since store 1 is already on site 1). Store 3 can be placed on 14 sites and so on until store 5 which has 12 sites.

Therefore the number of way is

C= 16*15*14*13*12

c=524,160 possibilities

Answer:

A)x=2pi/3 and x=-2pi/3

Step-by-step explanation:

The function [tex]y=\frac{5}{3}tan(\frac{3}{4}x)[/tex] has vertical asymptotes in the values where the tan(a) has vertical asymptotes.

we know that tan(a) has vertical asymptotes in [tex]a=\frac{\pi }{2}[/tex] and  [tex]a=\frac{-\pi }{2}[/tex], if we made [tex]a=\frac{3x}{4}[/tex] and solve for x, we get:

for [tex]a=\frac{\pi }{2}[/tex]

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

for [tex]a=\frac{-\pi }{2}[/tex]

[tex]\frac{-\pi }{2} =\frac{3x}{4}\\x = \frac{-2\pi }{3}[/tex]

Finally, the function [tex]y=\frac{5}{3}tan(\frac{3}{4}x)[/tex] has vertical asymptotes in the values x=2pi/3 and x=-2pi/3

Answer:

A

Step-by-step explanation:

Answer:c

Step-by-step explanation:

hyp=6[tex]\sqrt{2}[/tex]

adj=6

hyp:adj=6[tex]\sqrt{2}[/tex]  :2

hyp:adj=[tex]\frac{6\sqrt{2} }{6} \\[/tex]

[tex]=\frac{\sqrt{2} }{1} \\hyp:adj=\sqrt{2} :1[/tex]

Answer:

a)0.654

b)-0.34

Step-by-step explanation:

a)2 3 4 5 6 7

[tex]\mu = 4[/tex]

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{2+3+4+5+6+7}{6}\\Mean =4.5[/tex]

Standard deviation [tex]=\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation [tex]=\sqrt{\frac{(2-4.5)^2+(3-4.5)^2+(4-4.5)^2+(5-4.5)^2+(6-4.5)^2+(7-4.5)^2}{6-1}}=1.87[/tex]

[tex]t=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\t=\frac{4.5-4}{\frac{1.87}{\sqrt{6}}}\\t=0.654[/tex]

Df = n-1 = 6-1 = 5

Assume α=0.05

So[tex]t_{(\alpha,df)}=t_{0.05,5}=2.57[/tex]

So, t critical = 2.57

So, t calculated < t critical

b)1 2 2 5 5 7

[tex]\mu = 4 \\Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{1+2+2+5+5+7}{6}\\Mean =3.67[/tex]

Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation =[tex]\sqrt{\frac{(1-3.67)^2+(2-3.67)^2+(2-3.67)^2+(5-3.67)^2+(5-3.67)^2+(7-3.67)^2}{6-1}}=2.338[/tex]

[tex]t=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}t=\frac{3.67-4}{\frac{2.338}{\sqrt{6}}}t=-0.34[/tex]

Df = n-1 = 6-1 = 5

Assume α=0.05

So, [tex]t_{(\alpha,df)}=t_{0.05,5}=2.57[/tex]

So, t critical = 2.57

So, t calculated < t critical

Answer:

v = Δs/Δt

Step-by-step explanation:

Velocity is equal to the displacement/distance (delta symbol s) over the change of time (delta symbol t).

Answer:Domain is x and range is y.For ex:-4 is domain and -7 is range.

Step-by-step explanatioFeel pleasure to help u:

Domain ( -4, 5) Range ( -7, 6)

The Domain includes the numbers between the least and the greatest x-values.

The range includes the numbers between the lowest and the highest y-values.

Answer:

see explanation

Step-by-step explanation:

Given that y is inversely proportional to x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of proportion

(a)

To find k use the condition when y = 7 , x = 9, that is

7 = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

63 = k

y = [tex]\frac{63}{x}[/tex] ← equation of proportion

(b)

When x = 21, then

y = [tex]\frac{63}{21}[/tex] = 3

Step-by-step explanation:

divide the figure into a square and a rectangle

the area of the figure (S) is the sum of the square ( A) and the rectangle (B)

A = 3*3 = 9

B = 7*5 = 35

So S = A+B = 35 +9 =44

Answer:

44cm^2

Step-by-step explanation:

So you can first find the area of the top box by doing 3x3 (square) and than adding the area of the bottom box by doing 7x5 (rectangle).

The way I got 3x3 is because if you look at the bottom the total length is 7. Above that horizontal line is the number 4 and 3. You use the number 3 as it is part of the square.

No the way I got 7x5 is if you look at the right side the full length is 8. In front of that is the vertical line having the number 3. In order to figure out the side length for the bottom part you need to do 8-3. You than get 5 which is your side length for the far-left vertical line.

Now if you do the area of the square + the area of the rectangle you get the full area of the figure:

(3x3) + (7x5)

9 + 35

44

hope this helps! :)

Answer:

36 cups

3/12 = 9/c

Step-by-step explanation

3 ÷ 12 = .25

each cup = 25 cents

9 ÷ .25 = 36

Marco sold 36 cups of lemonade.

3/12 = 9/c

Answer:

36 cups

Step-by-step explanation:

We can set up a proportion:

12/3=c/9

Cross multiply.

12*9=3*c

108=3c

Divide both sides by 3.

c=36

The error that the proportion Kaycee set up was

cups/price=price/cups

This is not proportionate.

Possible proportions include:

cups/price=cups/price

price/cups=price/cups

cups/cups=price/price

price/price=cups/cups

Complete Question

In a study of the accuracy of fast food? drive-through orders, Restaurant A had  249 accurate orders and 80 that were not accurate.  

a. Construct a 90?% confidence interval estimate of the percentage of orders that are not accurate.  

b.  Compare the results from part? (a) to this 90?% confidence interval for the percentage of orders that are not accurate at Restaurant? B: 0.164< p <0.239. What do you? conclude?

 Choose the correct answer below.  

A. Since the two confidence intervals  overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.  

B. The lower confidence limit of the interval for Restaurant B is higher than the lower confidence limit of the interval for Restaurant A and the upper confidence limit of the interval for Restaurant B is also higher than the upper confidence limit of the interval for Restaurant A. Therefore, Restaurant B has a significantly higher percentage of orders that are not accurate.  

C. No conclusion can be made because not enough information is given about the confidence interval for Restaurant B.  

D. Since the upper confidence limit of the interval for Restaurant B is higher than both the lower and upper confidence limits of the interval for Restaurant? A, this indicates that Restaurant B has a significantly higher percentage of orders that are not accurate.

Answer:

a

The  90?% confidence interval  is  [tex]0.2041 < p < 0.282[/tex]

b

Option A is the correct option

Step-by-step explanation:

From the question we are told that  

      The sample size is  n  =  249+80  = 329

        The number that are not accurate is  k  = 80

Generally the sample proportion of orders  that are not accurate is  mathematically evaluated as

                   [tex]\r p = \frac{ 80 }{329}[/tex]

                    [tex]\r p = 0.243[/tex]

Given that the confidence level is 90% then the level of significance is mathematically evaluated as

              [tex]\alpha = 100 -90[/tex]

              [tex]\alpha = 10\%[/tex]

               [tex]\alpha = 0.10[/tex]

Next we obtain the critical value of  [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table, the value is  

               [tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]

Generally the margin of error is mathematically represented as

              [tex]E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p (1- \r p )}{n} }[/tex]

=>            [tex]E = 1.645* \sqrt{ \frac{0.243 (1- 0.243 )}{329} }[/tex]

=>              [tex]E = 0.0389[/tex]

Generally the 90% confidence interval is  mathematically represented as

         [tex]\r p -E < p < \r p +E[/tex]

=>       [tex]0.2041 < p < 0.282[/tex]

Comparing the two 90% confidence of restaurant A and B we see that they overlap and  Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.  

Answer:

P-value = 0.0367

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the percentage of residents who favor construction is significantly over 42%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.42\\\\H_a:\pi>0.42[/tex]

The sample has a size n=900.

The sample proportion is p=0.45.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.42*0.58}{900}}\\\\\\ \sigma_p=\sqrt{0.000271}=0.016[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.45-0.42-0.5/900}{0.016}=\dfrac{0.029}{0.016}=1.79[/tex]

This test is a right-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z>1.79)=0.0367[/tex]

Answer:

Test statistic t = 3.12

P-value = 0.001

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year (Gina's claim).

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=55000\\\\H_a:\mu> 55000[/tex]

The significance level is 0.05.

The sample has a size n=61.

The sample mean is M=56500.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=3750.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{3750}{\sqrt{61}}=480.138[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{56500-55000}{480.138}=\dfrac{1500}{480.138}=3.12[/tex]

The degrees of freedom for this sample size are:

df=n-1=61-1=60

This test is a right-tailed test, with 60 degrees of freedom and t=3.12, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t>3.12)=0.001[/tex]

As the P-value (0.001) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average salary of an employee in the city of Yarmouth is is significantly greater than $55,000 per year.

Answer:

Step-by-step explanation:

A trapezoid and two rectangulars are in the  opening form of the geometric shapes and you should calculate their surface areas seperately which is:

Answer:

Total surface area  = 3744 cm^2

Step-by-step explanation:

All linear measurements are in cm

Surface area of BOTH bases

Ab = 2*  (12+29)*24/2

= 984

Circumference of base

Cb = (25+12+26+29)

= 92

Height of prism

H = 30  (given)

Surface area of sides of prism

As= Cb*H

= 2760

Total Surface area of Prism

A = Ab + As

= 984 + 2760

= 3744 cm^2

Answer:

[29 over 2 divided by 5 over 4] = 29/2 ÷ 5/4 (A)

[29 over 2 times 4 over 5] = 29/2 × 4/5 (C)

Step-by-step explanation:

The total amount of water a tank can hold is 14 and one and one-half gallons = 14½

We are to determine the number of 1/4 gallon buckets of water that can be used to fill the tank.

To find this, we would divide 14½ by 1¼ = 14½ ÷ 1¼

Convert 14½ and 1¼ to improper fraction

14½ = [(14×2)+1]/2 = 29/2

1¼ = [(1×4)+1]/4 = 5/4

14½ ÷ 1¼ =29/2 ÷ 5/4

Then we find the inverse of ¼ to convert the division to multiplication

= 29/2 × 4/5 = 116/10

= 11.6

14½ ÷ ¼ = 11.6

Therefore 11.6 gallons of ¼ buckets of water can be used to fill the tank.

But the two expressions that could be used to represent this scenario to get the answer from the options = 29/2 ÷ 5/4 (A)

[29 over 2 divided by 5 over 4]

29/2 × 4/5 (C)

[29 over 2 times 4 over 5]

Answer:

I believe it is A and C.

Answer:

2

Step-by-step explanation:

I would have to say it is two bc Everitt had 30% where Desery had 20%.

Answer:b

Step-by-step explanation:

Answer:

The answer is 1/27

Step-by-step explanation:

According to the rules of indices

a^-b can be written as 1/a^b

So 3^- 3 can be written as 1/3³

And

1/3³ = 1/27

Hope this helps you

Answer:

24.6

Step-by-step explanation:

Answer:

24.6

Step-by-step explanation:

82 times 3 is 246.

Remember your decimal mark.

24.6

Answer:

Step-by-step explanation:

Let's organise our information :

we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7

Now the trick is to write this expression as a quadratic equation with zero at one side :

Now let's solve this equation :

Δ=1²-4*(1/2)*(-4)

 = 9

So we have two solutions :

So the solutions are -4 and 2

Answer: 20 cm

If quadrilaterals WXYZ and BADC are congruent, then their corresponding sides are congruent.

Given that

WX≅DC,

XY≅BC,

you can state that

YZ≅AB,

WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer:

99.86%

Step-by-step explanation:

What we have here is a binomial distribution, let x be the baby number among 8 births.

Binomial (n = 8, p = 0.559)

We want to find, P (X ≥ 1)

P (X ≥ 1)    = 1 - P (X <1)

P (X ≥ 1)  = 1 - P (X = 0)

P (X = 0)   = 8C0 * (0.559) ^ 0 * (1 - 0.559) ^ (8-0)]

8C0 = 8! / (0! * (8-0)!) = 1

replacing we have:

P (X = 0)   = 1 * 1 * 0.0014

P (X = 0)  = 0.0014

P (X ≥ 1))  = 1 - 0.001 4

P (X ≥ 1) = 0.9986

Therefore the probability is 99.86%

Answer:0.0081  or 0.81%

Step-by-step explanation:

The required probability is P(3,5,0.1)= C5 3 * p^3*q^2, where

C5 3=  5!/3/2=4*5/2=10

p is the probability that one randomly selected calculator is defective= 10%=0.1

q is the probability that one randomly selected calculator is non-defective.

q=1-p=1-0.1=0.9

So P(3,5,0.1)= 10*0.1^3*0.9^2=0.01*0.81=0.0081

Answer:

The probability of  successes   P( x < 4 ) = 0.36138

Step-by-step explanation:

Step(i):-

Given 'n'=9

The probability of success 'p' = 0.45

                                            q = 1-p = 1-0.45 = 0.55

Let 'X' be the random variable in Binomial distribution

[tex]P(X=r) = n_{C_{r} } p^{r} q^{n-r}[/tex]

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

Step(ii):-

The probability of x successes in the n independent trials of the experiment

[tex]P(x<4) = P(x=0) +P(x=1)+P(x=2)+P(x=3)[/tex]

              = [tex]= 9_{C_{0} } (0.45)^{0} (0.55)^{9-0}+9_{C_{1} } (0.45)^{1} (0.55)^{9-1}+9_{C_{2} } (0.45)^{2} (0.55)^{9-2}+9_{C_{3} } (0.45)^{3} (0.55)^{9-3}[/tex]By using factorial notation

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]9_{C_{0} } = 1 , 9_{C_{1} } = 9 , 9_{C_{2} } = 36, 9_{C_{3} } = 84[/tex]

P( x < 4 ) = (0.55)⁹ + 9(0.45) (0.55)⁸ + 36 (0.45)² (0.55)⁷ +84 (0.45)³ (0.55)⁶

P( x < 4 ) = 0.004605+0.03391 + 0.1109855+ 0.21188

P( x < 4 ) = 0.36138

Final answer:-

The probability of  successes   P( x < 4 ) = 0.36138

Answer:

Since the Confidence is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value would be [tex]t_{\alpha/2}=1.669[/tex]

And replacing we got

[tex]17.5-1.669\frac{4.2}{\sqrt{65}}=16.63[/tex]    

[tex]17.5+1.669\frac{4.2}{\sqrt{65}}=18.37[/tex]    

For the 95% confidence the critical value is [tex]t_{\alpha/2}=1.998[/tex]

[tex]17.5-1.998\frac{4.2}{\sqrt{65}}=16.46[/tex]    

[tex]17.5+1.998\frac{4.2}{\sqrt{65}}=18.54[/tex]    

Step-by-step explanation:

Information given

[tex]\bar X¿ 17.5[/tex] represent the sample mean

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

s¿4.2 represent the sample standard deviation

n¿65 represent the sample size  

Confidence interval

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 are given by:

[tex]df=n-1=65-1=64[/tex]

Since the Confidence is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and the critical value would be [tex]t_{\alpha/2}=1.669[/tex]

And replacing we got

[tex]17.5-1.669\frac{4.2}{\sqrt{65}}=16.63[/tex]    

[tex]17.5+1.669\frac{4.2}{\sqrt{65}}=18.37[/tex]    

For the 95% confidence the critical value is [tex]t_{\alpha/2}=1.998[/tex]

[tex]17.5-1.998\frac{4.2}{\sqrt{65}}=16.46[/tex]    

[tex]17.5+1.998\frac{4.2}{\sqrt{65}}=18.54[/tex]