The following data represents the age of 30 lottery winners.

22 26 27 27 31 34
36 42 43 44 48 49
52 53 55 56 57 60
65 65 66 67 69 72
75 77 78 78 79 87
Complete the frequency distribution for the data.

Age Frequency
20-29
30-39
40-49
50-59
60-69
70-79
80-89

Answers

Answer 1

Answer:

Step-by-step explanation:

This is an example of a frequency distribution for a class interval. In order to complete the frequency distribution, we will count the number of data occurring in each group, and write that number as the frequency for that group. This is done as shown below:

 Age                Frequency          ages in class

20-29                       4                  22, 26, 27, 27                

30-39                       3                  31, 34, 36

40-49                       5                  42, 43, 44, 48, 49

50-59                       5                  52, 53, 55, 56, 57

60-69                       6                  60, 56, 65, 66, 67, 69

70-79                        6                  72, 75, 77, 78, 78, 79

80-89                       1                   87

Total                        30


Related Questions

pls halllllllpppppppp

Answers

Answer:

85 degrees

Step-by-step explanation:

To find the range, take the high temperature and subtract the low temperature

40 - -45

40 + 45

85

The range is 85 degrees

Answer:

85

Step-by-step explanation:

The definition of range is the subtraction between the highest and lowest numbers.

In this problem, there are only two numbers so they will be subtracted.

40 - -45

40 + 45 = 85

The range is 85.

Hope this helped.

The algebraic expression for the product of five and the cube of a number decreased by 40

Answers

Answer:

5a³ - 40

Step-by-step:

The algebraic expression is:

5a³ - 40

The algebraic expression for the product of five and the cube of a number decreased by 40 -

5 * x^3 - 40
* is multiplication sign.

Solve for x.

A. 37
B. 27
C. 30
D. 31

Answers

Answer:

B

Step-by-step explanation:

The formula for finding the relationship between a secant and a tangent is

tangent length ^2 = external segment secant/full length of secant

In this case

60^2 = 48*(x + 48)                   Expand

3600 = 48*(x + 48)                  Remove the brackets/

3600 = 48x + 48^2                 Expand

3600 = 48x + 2304                Subtract 2304 from both sides

3600 - 2304 = 48x              

1296 = 48x                              Divide both sides by 48

1296 / 48 = x        

x = 27

If the circumference of a circle is equal to 14, what is the diameter?

Answers

Answer:

7

Step-by-step explanation:

What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to
solve.

Answers

..... Here

This is the answer

In a high school graduating class of 300, 200 students are going to college, 40 are planning to work full-time, and 80 are taking a gap year.

a. These are mutually exclusive events.
b. These are not mutually exclusive events.
c. You should add their individual probabilities.
d. None of the above are true.

Answers

These are mutually exclusive events. So it is b

Whats the volume of this aquarium?
PLZ HELP!!

Answers

Find the lxwxh and then multiply all of them together and then u should get your answer

Determine the pattern for the following sequence and find the next two terms: 1, -2,4,-8, ...

Answers

Answer:

Answer:×(-2)

Answer:×(-2)Step-by-step explanation:

-2/1 = -2

4/-2 = -2

-8/2 = -2

Next two: 16, -32

-16, 32

Just multiply each number by -2

Listed below are systolic blood pressure measurements​ (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be​ concluded?

Right_arm(mm_Hg) Left_arm(mm_Hg)
149 166
136 179
129 190
137 148
139 138

Data was entered in SPSS using the paired t-test approach!!


a. In this​ example, μd is the mean value of the differences d for the population of all pairs of​ data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis​ test?

b.) Identify the test statistic.

c.) Identify the​ P-value.

d.) What is the conclusion based on the hypothesis​ test?

Answers

Answer:

There is a significant difference in the systolic blood pressure measurements between the two arms.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether there is a difference in the systolic blood pressure measurements between the two arms.

The SPSS output is attached below.

(a)

The hypothesis for the test can be defined as follows:

H₀: There is no difference in the systolic blood pressure measurements between the two arms, i.e. d = 0.

Hₐ: There is a significant difference in the systolic blood pressure measurements between the two arms, i.e. d ≠ 0.

(b)

Consider the SPSS output.

The test statistic value is t = 0.871.

(c)

Consider the SPSS output.

The p-value of the test is:

p-value = 0.433.

(d)

The significance level of the test is, α = 0.05.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.433 > α = 0.05

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

Thus, it can be concluded that there is a significant difference in the systolic blood pressure measurements between the two arms.

4. Manuel swims at a speed of 1 yard per second. How many feet per minute does he swim?​

Answers

Answer:

180 Feet Per Minute

Step-by-step explanation:

Please mark me as brainliest and rate 5 stars!

180 feet per minute.

How many more barrels of gasoline than desiel were produced

Answers

Answer:

15

Step-by-step explanation:

Espanol
In the past year Christine watched 24 movies that she thought were very good. She watched 60 movies over the whole year. of the movies she watched, what
percentage did she rate as very good?

Answers

Answer:

40%

Step-by-step explanation:

She thought that 24 movies out of 60 were very good. Put the smaller number over the larger number to create a fraction:

Then convert 24/60 to a proper fraction:

24/60 = 2/5

Then, convert that to percent:

2/5 = 40%

40% because 24/60*100 is equal to 40

A flagpole is 50 feet high. You are standing a distance from the flag pole. The angle of elevation from where you are standing to the top of the flagpole is 23°. How far away from the flagpole are you standing? Note that the angle of elevation is the angle formed by the ground and the line of sight to the top of the flagpole.

Answers

Answer:

x = 21.2 ft

Step-by-step explanation:

x = tanФ h

h = 50

Ф = 23°

x = tan(23°) * 50

x = 21.2 ft

Does anyone know the answers to the graded activities on plato?

Answers

Answer:

Explanation

There are some activities in Courseware content that report scores and some that just report mastery and/or completion status.

Resolution

Dynamic vs. Non-dynamic mastery tests

Mastery tests give mastery status if the score is 80% or higher, but not all tests report a score. There are two types of mastery tests in Courseware content:

Non-dynamic tests: Those that do report a score, such as those in the Writing Process and Practice titles, in the Grammar and Mechanics modules, give the same number of questions each time; these are non-dynamic tests. For example, Splitting Fused Run-ons: Mastery Test presents ten questions. Even if the Learner answers the first three questions incorrectly and is, at that point, no longer able to answer eight correctly to achieve mastery, the remaining seven questions are presented.

Dynamic tests: Mastery tests from some content titles, such as Essential Reading Skills, however, are dynamic, which means they adapt to the Learner's responses. These tests do not always give the maximum number of questions; instead, they will end sooner if 80% is either achieved or no longer achievable. These tests show mastery if 80% or better was achieved, but do not show a score. For example, in Essential Reading Skills, Pronouns: Mastery Test, the maximum number of questions presented is five; mastery requires four questions are answered correctly. The test will end early if the student answers the first four correctly or two incorrectly out of the first four. Mastery is still based on achieving 80% or better, but the score is not fully determined, so no score is reported, by design.

Step-by-step explanation:

Help me please guys thanks

Answers

Answer:

A is correct

Step-by-step explanation:

4(c+3) =4+c+c+c+c+17

Answers

4c +12 = 4+4c+17
-4c -4c
12 =4+c+17
12=21+c
-21
-9=c
idk if this is what ur looking for?

find the midpoint of the segment with the following endpoints (10,6) and (3,1)

Answers

Answer:

(6.5,3.5)

Step-by-step explanation:

To find the x coordinates of the midpoint, average the x coordinates of the endpoints

(10+3)/2 = 13/2 = 6.5

To find the y coordinates of the midpoint, average the y coordinates of the endpoints

(6+1)/2 = 7/2 = 3.5

(6.5,3.5)

Just a little bit of math hw

Answers

Answer:

Put 0 in the box.

Step-by-step explanation:

The value x = 0 if replaced in the given equation will always make the denominator zero.

Best Regards!

What’s the range of A and B and both

Answers

This is of Both

Range = Highest - Lowest data

Range = 45 - 10

Range = 35

Only A

Range = 45 - 10

Range = 35

Only B

Range = 40 - 15

Range = 25

Must click thanks and mark brainliest

what is 76.32 divided by 24.98 using compatible numbers to estimate each quotient?

Answers

Answer:

Approximately 3.05

Step-by-step explanation:

Using "compatible numbers" we can simply round these numbers to integer values.  Let's make 76.32 => 76 and 24.98 => 25

So from here let's do 76/25 to get 3 R 1/25

1/25 as a decimal is .04

So far, we have 3.04.  Going back to Look at our decimals, .32 and .98, there is a larger difference in our down rounding with the .32 than the up rounding from our .98.  So we should consider an extra value in our decimal.

Considering our whole number of 3.0, we can assume that our rounding will have an increase of about .01 or .015 in error.

Thus our number will be 3.04 + .01.

Making our quotient approximately 3.05.

Cheers.

Together, Emily and Charlotte have a total of 60 strawberries. Emily sats 4 times the amount that Charlotte eats. How many strawberries does Charlotte eat?

Answer choices:

A. 6

B. 8

C. 10

D. 12

E. 14

F. 15

Answers

Answer:

12

Step-by-step explanation:

Since Emily eats four times the amount that Charlotte eats, then Emily will eat: = (4 × x) = 4x. Therefore, Charlotte eats 12 strawberries

Find the surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder x225+y29=1

Answers

Correct question is;

Find the surface area of that part of the plane 10x + 7y + z = 4 that lies inside the elliptic cylinder x²/25 + y²/9 = 1

Answer:

A(S) = 15π√150

Step-by-step explanation:

We are given;

10x + 7y + z = 4

Making z the subject, we have;

z = 4 - 10x - 7y

Now, area of the surface as part of z = f(x, y) is;

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA

From z = 4 - 10x - 7y,

∂f/∂x = -10

∂f/∂y = -7

Thus;

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

x²/a² + y²/b² = 1 and comparing with

x²/25 + y²/9 = 1, we have;

a = 5 and b = 3

So, area of elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder [tex]\dfrac{x^2}{25}+\dfrac{y^2}{9}=1[/tex] is [tex]15\pi\sqrt{150}[/tex] and this can be determined by using the given data.

Given :

10x + 7y + z = 4  ---- (1)[tex]\dfrac{x^2}{25}+\dfrac{y^2}{9}=1[/tex]    --- (2)

Equation (1) can also be written as:

z = 4 - 10x - 7y      ---- (3)

The surface area is given by the equation:

[tex]\rm A(s) = \int \int \sqrt{(\dfrac{\delta f}{\delta x})^2+(\dfrac{\delta f}{\delta y})^2+1}\;dA[/tex]     --- (4)

[tex]\dfrac{\delta f}{\delta x} = -10[/tex]

[tex]\dfrac{\delta f}{\delta y} = -7[/tex]

Now, substitute the known values in the equation (4).

[tex]\rm A(s) = \int \int \sqrt{(10)^2+(7)^2+1}\;dA[/tex]  

[tex]\rm A(s) = \sqrt{150} \int \int\;dA[/tex]  

Now the area enclosed by an ellipse is given by:

[tex]\dfrac{x^2}{25}+\dfrac{y^2}{9}=1[/tex]

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]

By comparing the above equation:

a = 5

b = 3

The area is given by:

[tex]\rm A(s)=\sqrt{150}\times \pi(5\times 3)[/tex]

[tex]\rm A(s) = 15\pi \sqrt{150}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/11952845

Find the root of 11+2square30

Answers

[tex]\\ \sf\longmapsto \sqrt{11+2^230}[/tex]

[tex]\\ \sf\longmapsto \sqrt{11+4(30)}[/tex]

[tex]\\ \sf\longmapsto \sqrt{11+120}[/tex]

[tex]\\ \sf\longmapsto \sqrt{131}[/tex]

[tex]\\ \sf\longmapsto 11.3[/tex]

PLEASE HELP ME :)
Solve for x on this triangle

Answers

10²+x²=16²

100+x²=256

x²=256-100

x²=156

x=12.4

x=12

I hope I helped you^_^

Solve for theta
Please answer both parts

Answers

Answer:

Step-by-step explanation:

a)  tanθ = x/3

θ = arctan(x/3)

:::::

b)  cosθ = 9/x

θ = arccos(9/x)

A football team is currently number 19 in overall offence. They have gotten 1,940 yards, while the number one
offence has received 2,728 yards. They've both played four games. How many more yards per game is the top
team receiving?

Answers

Answer:

20

that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw

Answer:

197 yards per game

Step-by-step explanation:

divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.

-3/4÷-1/2

pls help armieee​

Answers

Answer:

exact form : 3/2

decimal form 1.5

mixed number form 1 1/2

X = y + 12
How to solve for variable

Answers

Answer:

x-y=12

Step-by-step explanation:

10 easy points!!!! What is the x-intercept of the line?

Answers

Answer:

Step-by-step explanation:

As x increases from -74 to -54 (a 'run' of 20), y decreases from 18 to 12 (a 'rise' of -6.  Thus, the slope of this line is m = rise/run = -6/20 = -13/10.

From y = mx + b we get     12 = (-13/10)(12) + b, or (after dividing all terms by 12)

1 = -13/10 + b/12, or

60 = -3(6) + 5b, or

42 = - 5b, or b = -42/5

The line is y = (-13/10)x - 42/5.

At the x-intercept, y = 0.  Setting y = 0, we get:

(13/10)X = -42/5,  or  13x = -84.

Thus, x = -84/13 =  -6.46

and so the x-intercept of the line is (-6.46, 0)

Activity 12-4: A large monohybrid crossa corn ear with purple and yellow kernels The total number of purple and yellow kernels on 8 different corn ears were counted: Purple kernels 3593 Yellow kernels 1102 What is the ratio of purple kernels to yellow kernels

Answers

Complete Question

The  complete question is shown on the first uploaded image

Answer:

  The correct option is C

Step-by-step explanation:

From the question we are told that

      The  number of purple  kernel is  [tex]n_k = 3593[/tex]

        The number of  yellow kernel is  [tex]n_y = 1102[/tex]

Generally the ration of the purple to the yellow kernels is mathematically evaluated as

              [tex]r = \frac{n_k}{n_y}[/tex]

substituting values

              [tex]r = \frac{3593}{1102}[/tex]

              [tex]r = 3.3[/tex]      

              [tex]r \approx 3[/tex]

Therefore the ratio is  

               [tex]1 \ Yellow : 3 \ Purple[/tex]

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