Jess spins a pointer 25 times and finds an experimental probability of the pointer landing on 3 to be or 16%. The theoretical probability of the spinner landing on 3 is or 25%. Why might there be a significant difference between the theoretical and experimental probabilities?

Answer:

Step-by-step explanation:

Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes

74.9 - 87.3 = - 12.4

Step 2. The formula for determining margin of error is expressed aa

Margin of error = z√(s1²/n1 + s2²/n2)

Where

z = z score

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

n1 = number of samples in group 1

n2 = number of samples in group 2

For a 95% confidence interval, the z score is 1.96

From the information given,

s1 = 21.75

n1 = 18

s2 = 19.75

n2 = 9

z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343

= 16.35

Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

95% Confidence interval = - 12.4 ± 16.35

Answer:

The answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The probability that Christina will not choose all action movies can be expressed as 1 − StartFraction 9 C 3 Over 20 C 3 EndFraction.

Answer:

24.8 mins

Step-by-step explanation:

Time > timemark > frequency

0 – 10 > 10/2 = 5 > 5

10 – 20 > (10+20)/2 = 15 > 15

20 – 30 > (20+30)/2 = 25 > 13

30 – 40 > (30+40)/2 = 35 > 10

40 – 50 > (40+50)/2 = 45 > 7

The mean time for the 50 people is given by:

Mean = summation (mid time x frequency) / total frequency

Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50

Mean = [25 + 225 + 325 + 350 + 315] / 50

Mean = 1240 / 50

Mean = 24.8 mins

The mean traveling time of the given data will be 24.8 minutes.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

   Time >     timemark     >    frequency

 0 – 10 >      10/2 = 5       >          5

10 – 20 > (10+20)/2 = 15  >         15

20 – 30 > (20+30)/2 = 25 >       13

30 – 40 > (30+40)/2 = 35 >        10

40 – 50 > (40+50)/2 = 45 >         7

The mean time for the 50 people is given by:

Mean = summation (mid time x frequency) / total frequency

Mean = [5x5 + 15x15 + 25x13 + 35x10 + 45x7] / 50

Mean = [25 + 225 + 325 + 350 + 315] / 50

Mean = 1240 / 50

Mean = 24.8 mins

The mean traveling time of the given data will be 24.8 minutes.

More about the mean link is given below.

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Answer:

The value of P is 20 .

Step-by-step explanation:

Firstly, you have to create an expression in terms of p using the information :

[tex] \frac{p}{10} = 2[/tex]

Next, you have to multiply both sides by 10 :

[tex] \frac{p}{10} \times 10 = 2 \times 10[/tex]

[tex]p = 20[/tex]

Answer:

The answer would be twenty.

Step-by-step explanation:

P = 10 x 2

P = 20

[tex] \dfrac{x}{56} = \dfrac{7}{8} \\ x = \dfrac{56 \times 7}{8} \\ x = 49[/tex]

Answer:

84 bih

Step-by-step explanation:

Answer:

  74.3 feet

Step-by-step explanation:

Each year, the height is multiplied by 1 +20% = 1.20. After 10 years, the original height is multiplied by 1.20^10, so is ...

  (12 ft)1.20^10 ≈ (12 ft)(6.19174) ≈ 74.3 ft

Answer:28

Step-by-step explanation:

3^x=5

3^2x+3

(3^x)^2 + 3

Substitute 3^x=5 in (3^x)^2 + 3

5^2 + 3

5x5+3=28

Step-by-step explanation:

a. Randomly selecting a red card =

[tex] \frac{1}{2 } [/tex]

have 26 card choices

B. Randomly selecting a 7, 8, 9, or 10 =

[tex] \frac{4 \times 4}{52} = \frac{16}{52} = \frac{4}{13} [/tex]

(have 4*4 card choice)

C. Randomly selecting the 6 of diamonds =

[tex] \frac{1}{52} [/tex]

(only 1 card choice)

D. Randomly selecting a card that is not a king

[tex]1 - \frac{4}{52} = \frac{48}{52} = \frac{12}{13} [/tex]

1 - all possibility that can select the king

Answer:

  3. L(15055) is the number of pages ...

  4. true

Step-by-step explanation:

3. The problem tells you that L( ) is a function of the number of words. (That means the number in parentheses in L( ) is a word count.) The first two answer choices describe the function as being of a number of pages, so are incorrect. The last answer choice matches the description of the function.

__

4. Compound interest represents a growth function. Account values in later years will be more than values in earlier years. So ...

  D(2) < D(7) is TRUE

Answer:Each person should get 7.5 milliliters  or seven and a half perfume.

Step-by-step explanation:

15/2=7.5

Each person should get 7.5 milliliters or seven and a half perfume.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in maths and science.

Thus, unit price of something is price of 1 thing.

Suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

WE know that 2 people are evenly sharing 15 milliliters of perfume.

So, one person will share;

15/2

=7.5

Therefore, Each person should get 7.5 milliliters or seven and a half perfume.

Learn more about unit price here:

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Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

Answer:

  see below

Step-by-step explanation:

First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.

Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.

The data set of the 3rd choice matches the box plot extremes, median, and quartile values.

Answer:

The third choice, (5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.

Step-by-step explanation:

Answer:

$578.6

Step-by-step explanation:

231.55 multiplied by 12 is 2778.6.

Subtract that by the amount that she could've paid in a whole you would get 578.6.

Answer:

10x+5

Step-by-step explanation:

5(2x+1)

Using distributive property, which is

A(B+C)=(A×B)+(A×C)

=(5×2x)+(5×1)

=10x+5

Hope it helps :)

Answer:

84 centimeters of the width of the item in reality

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

         1       =           14      ⇒   x - width of item in reality (cm)

         6                    x

2. Now let us cross multiply, and solve through simple algebra:

14 * 6 = x,

x = 84 centimeters of the width of the item in reality

Answer:

1000 grams

Step-by-step explanation:

Answer:

2 bag of chips

Step-by-step explanation:

Total Money Kumar had = $10.00

Money spent on buying candy bar = $1.75

Money left with Kumar after buying candybar  can be obtained by subtracting

Money spent on buying candybar  from Total Money Kumar had.

Money left with Kumar after buying candybar  =  $10.00- $1.75 = $8.25.

It is given that rest of money( $8.25 as calculated) is spent on buying bag of chips.

cost of one bag of chips = $2.99

Let no of bag of chips  kumar can buy be x .

Therefore total money spent on buying x bag of chips  is $2.99 time no. of  bag of chips bought

Mathematically it can be expressed as

Total money spent on buying x bag of chips = $2.99 * x = $2.99 x

It is given that he can spent only $8.25 to buy bag of chips.

which means

$2.99 x = $8.25

=> x = 8.25/2.99 = 2.75

Thus he can buy  2.75 bag of chips.

But bag of chips can be only integral number as bag cannot be in fraction .

hence 2 bag of chips can bought which will cost 2*2.99=$ 5.98

Rest of the money will be left which will be 8.25 - 5.98 = $2.27

Answer:

8

Step-by-step explanation:

Answer:

1440 feet

Step-by-step explanation:

15 × 12 × 8 = 1440

Answer:4853.52

Step-by-step explanation:

base=100.8ft

Height=96.3ft

Area of =(base x height) ➗ 2

Area of =(100.8x96.3) ➗ 2

Area of =9707.04 ➗ 2

Area of =4853.52

Answer:

  35

Step-by-step explanation:

Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.

The LCM will be abx = 14x, so we have ab = 14.

Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...

  a=2, b=7

For a=2 and ax=10, we have x=5.

The dad's age is bx = 7·5 = 35.

Answer:191.4 cm

Step-by-step explanation:

Circumference=601 cm

π=3.14

Diameter=circumference ➗ π

Diameter=601 ➗ 3.14

Diameter=191.4 cm

Complete Question

The complete question is shown on the first uploaded image

Answer:

The number of student that have heard the announcement after 4 hours is  

  [tex]f(4) = 530[/tex]

Step-by-step explanation:

From the question we are told that

                 [tex]f(t) = \frac{6000}{1 + Be^{-kt}}[/tex]

Now at time t =  0  f(t) = 300 this because at the time the announcement was made the number of student present was [tex]f(0) = 300[/tex]

    so

                     [tex]f(0) = \frac{6000}{1 + Be^{-k(0)}}[/tex]

                    [tex]300 = \frac{6000}{1 + Be^{-k(0)}}[/tex]

                    [tex]1 + B = 20[/tex]

=>                  [tex]B = 19[/tex]

So the above  equation becomes

               [tex]f(t) = \frac{6000}{1 + 19 e^{-kt}}[/tex]

 Now at the given time  t = 2hr   [tex]f(2) = 400[/tex]

     So

           [tex]f(2) = \frac{6000}{1+19e^{-2k}}[/tex]

            [tex]400 = \frac{6000}{1+19e^{-2k}}[/tex]          

            [tex]1+ 19 e^{-2k} = 15[/tex]

            [tex]19 e^{-2k} = 14[/tex]

            [tex]e^{-2k} = 0.7368[/tex]

           [tex]-2k =-0.3054[/tex]

            [tex]k = 0.1527[/tex]                

So the equation is now

       [tex]f(t) = \frac{6000}{1+ 19e^{-0.1527t}}[/tex]

Now  at  t =  4 hrs we have that

      [tex]f(4) = \frac{6000}{1+ 19e^{-0.1527* 4}}[/tex]

      [tex]f(4) = 530[/tex]

Answer:

(1, -1)

Step-by-step explanation:

To convert polar to rectangular coordinates, use these identities:

Here we were given the point [tex](\sqrt{2},-\frac{\pi}{4})[/tex] which is our (r, Ф) point

We can now plug these values into our x and y equations to convert to rectangular and find our (x, y) point

So our (x, y) point is (1, -1)

We have been given that the typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. Suppose last night you slept for 5 hours.

We will use z-score formula to solve our given problem as z-score tells a data point is how many standard deviation from the mean.

[tex]z=\frac{x-\mu}{\sigma}[/tex], where,

z = z-score,

x = Random sample score,

[tex]\mu[/tex] = Mean,

[tex]\sigma[/tex] = Standard deviation.

Upon substituting our given values in z-score formula, we will get:

[tex]z=\frac{5-7.5}{1.3}[/tex]

[tex]z=\frac{-2.5}{1.3}[/tex]

[tex]z=-1.923076923[/tex]

Upon rounding to two decimal places, we will get:

[tex]z\approx -1.92[/tex]

Therefore, you are [tex]-1.92[/tex] standard deviations from the mean or 1.92 standard deviation below mean.

Answer:

47496

Step-by-step explanation:

Answer: The answer is 47496

Step-by-step explanation:

If you multiply 79 x 554 =43766

Then you multiply 5 x 746= 3730

You add 43766+ 3730 = 47496

Answer:

56.52

Step-by-step explanation:

Area of hemisphere = 2πr^2

Radius = 3

= 2×3.14×3×3

= 56.52

hope it helps!

Answer:

[tex]tan(D) = \frac{21}{20}[/tex]

Step-by-step explanation:

Step(i):-

Given in triangle DOC

Cos(D) = 20/29

now

[tex]Sec(D) = \frac{1}{Cos(D)} = \frac{1}{\frac{20}{29} } = \frac{29}{20}[/tex]

We Know that trigonometry formulas

[tex]sec^{2}(D) -tan^{2} (D) =1[/tex]

[tex]tan^{2} (D) = sec^{2} (D) -1[/tex]

           = [tex](\frac{29}{20} )^{2} -1[/tex]

          = [tex]\frac{841 -400}{400} = \frac{441}{400}[/tex]

[tex]tan^2(D) = \frac{441}{400}[/tex]

[tex]tan(D) = \sqrt{\frac{441}{400} } = \frac{21}{20}[/tex]

[tex]tan(D) = \frac{21}{20}[/tex]