The numbers of hours mary works over a period of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8. find the mean, median, mode, and range of the data set.

Answers

Answer 1

Answer:

Mode=8

This is because it occurs the most

Median

=8+8/2

=16/2

=8

Therefore, the median is 8

Mean= £x/n

=6+7+7+8+8+8+8+8/8

=60/8

=15/2

=7.5

Step-by-step explanation:

Please mark me brainliest if correct

Answer 2

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.

Arrange the data in increasing order, then we have

6, 7, 7, 8, 8, 8, 8, 8

The mean of the data is given as,

Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8

Mean = 60 / 8

Mean = 7.5

The median of the data is given as,

Median = {[8 / 2 + (8 + 2)/ 2] / 2}

Median = (4th + 5th) / 2

Median = (8 + 8) / 2

Median = 16 / 2

Median = 8

The mode of the data is given as,

Mode = Frequency of the number

Mode = 8

The range of the data set is given as,

Range = 8 - 6

Range = 2

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

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Related Questions

write an absolute value equation in the format lx-bl=c (where b is a number and c could be both a number or expression) with one solution x=-3

Answers

Answer: I-3-5I= 8

An absolute value always has to be positive so b can be any number.

b= c= Please help asap

Answers

b= 20°
and c = 160°

b is equal to the given angle, b = 20°

c is 180 - 20 = 160°

Learning Task 1: Solve and check. Write your answers on a separate sheet of paper.

1. X + 5 = 2

2. X – 10 = 22

3. 3n / 6= 7

4. 96 – 4x = -28

5. 2x/ 3= 10

6. 5y – 2 = 18

7. -32 = 15 + d

8. H/5 = 8

9. 2/4 – 7 = 35

10. 453 + 364 + d = 1000

Pasagot po pls

Answers

Answer:

hello

[tex]x + 5 = 2\\x = 2 - 5\\x = - 3 \\\\x - 10 = 22\\x = 22 + 10 \\x = 32 \\\\3 n /6 = 7 \\3 n = 42\\n = 14\\\\96 - 4 x = - 28\\- 4 x = - 28 - 96\\- 4 x = - 124\\x = 31\\\\2 x /3 = 10 \\2 x = 30\\x = 15 \\\\5 y - 2 = 18\\5 y = 18 + 2\\5 y = 20\\y = 20/5 = 4 \\\\- 32 = 15 + d \\- d = 15 + 32\\- d = 47\\d = - 47 \\[/tex]

[tex]h /5 = 8 \\h = 40 \\\\453 + 364 + d = 1 000\\d = 1 000 - 817\\d = 183\\\\[/tex]

Step-by-step explanation:

Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.

Answers

Answer:

Step-by-step explanation:

Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.

Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.

Help?? It's for calc.

Answers

Answer:

the answer is 1.258

Answer:

1.258

Step-by-step explanation:

What is the length of the hypotenuse of the triangle?


Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft

Answers

Answer:

The last answer [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]7^2+4^2 = 65[/tex]

The formula to find it is [tex]a^2+b^2=c^2[/tex]

so [tex]\sqrt{65}[/tex] is correct

Answer:

√65 ft (Option D)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

AC = 7ft which is the Base.

BC = 4 ft which is the Perpendicular.

AB is the Hypotenuse.

We know that,

[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]

[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]

[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]

Therefore,

The length of the Hypotenuse (AB) is √65 ft

Help I have to put it in simplest exponential form I don't know the answer ​

Answers

Answer:

Step-by-step explanation:

In exponent multiplication, if bases are same, add the exponents.

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(-5)^{3}*13^{-2}*(-5)*13^{9}= (-5)^{(3+1)}*13^{(-2+9)}\\\\\\= (-5)^{4}*13^{7}[/tex]

Which expression converts startfraction pi over 4 endfraction radians to degrees?

Answers

Using the degree and radian relation π/4 radian equals 45°.

Given angle =π/4 radian

What is the relation between radian and a degree?

π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.

Since, 1 radian equals 180/π degree.

So, π/4 radian =180/π * π/4 degree.

π/4 radian = 45°.

So, π/4 radian equals  45°.

Therefore, using the degree and radian relation π/4 radian equals 45°.

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Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.

Answers

The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

How to find the z score (z statistic) for the sample mean?

If we're given that:

Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = s

Then, we get:

[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]

If the sample standard deviation is not  given, then we can estimate (in some cases) it by:

[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

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

For this case, we're specified that:

Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex]  = 92Population standard deviation = [tex]\sigma[/tex] = 2

Thus, the value of the z-statistic is evaluated as:

[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]

Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.

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convert 15cm ^ 3 into m * m ^ 3​

Answers

Answer:

15 ×10^-6

Step-by-step explanation:

1 m = 100 cm

1m^3 = 100^3 cm^3

1m^3 = 1×10^6 cm^3

15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3

Given m||n, find the value of x.

PLEASE ANSWER ASAP

WILL GIVE BRANLIEST

Answers

Since the horizontal lines are parallel, we can set the angles equal to each other. So...

7x - 1 = 8x - 14

Solving for x...

x = 13

prove that
[tex] \frac{1 }{ \sin(x) \times \cos(x) } [/tex]
equals 2csc2x

Answers

Answer:

See below for proof

Step-by-step explanation:

[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]

Thus, the identity is proven

PLEASEEEE HELP ME ILL GIVE YOU BRAINIEST!!

Answers

Answer:

48 in³

       volume of triangular prism: Base Area * Height

Base Area:

[tex]\hookrightarrow \sf \dfrac{1}{2} *base*height[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} *3*8[/tex]

[tex]\hookrightarrow \sf 12 \ in^2[/tex]

Volume:

[tex]\hookrightarrow \sf 12 * 4[/tex]

[tex]\hookrightarrow \sf 48 \ in^3[/tex]

3y - 2x = -15 and x = -6y

Answers

Answer:

X=6, Y=-1

Solved using substitution

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

[tex]3y - 2( - 6y) = - 15 [/tex]

Simplify both sides

[tex]3y + 12y = - 15[/tex]

Combine Like terms

[tex]15y = - 15[/tex]

Divide both sides by 15

[tex]y = - 1[/tex]

help one of these qtns pls

Answers

Answer:

(a) 3x + 4 = 2x + 1

3x - 2x = 1 - 4

x = -3

Step-by-step explanation:

To solve for 'X', you must move all 'x' to the left-hand side, as seen through the working out. To balance it, you move all the lone numbers without (constants) to the right. Remember: when you move values across the 'equals' sign, the sign of the value you are moving becomes switched. For example, if you're moving 3x + 1 = 0 and you wish to move 1 to the other side, it becomes 3x = 0 ( - 1).

Bruce and his family arrived at the beach at 10:28 a.m. on Saturday morning. They left their house 12 hours and 20 minutes before their arrival at the beach. What time did they leave their house?

Include am or pm in your answer.

help me pls

Answers

Answer:

10:48 pm will be your answer

To turn a decimal into a percent you move the decimal 2 spaces to which direction.

Answers

Answer:

Right

Step-by-step explanation:

You move the decimal to the right to make the decimal a whole number :)

Example below:

0.25

Move 2 places to the right

25%

Have a great day!!

Please rate and mark brainiest!!

Answer: You move the decimal point two spaces to the right.

Step-by-step explanation:

Multiply by 100.

Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price

Answers

Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

179 out of 523 members indicated they would buy the new product at the proposed price, hence:

[tex]\pi = \frac{179}{523} = 0.3423[/tex]

Then the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]

More can be learned about the z-distribution at https://brainly.com/question/25890103

I need help making a proof for geometry! Here is the question…
There are 2 parts I have to make a proof and then I also have to find the measures of AB and AC!

Answers

Answer:

Step-by-step explanation:

someone, please help me out with these two problems, it's trig.

Answers

Answer:

2nd problem

The sum of the angles of the triangle is 180°.

B= 90°

1. What is the volume, in cubic feet, of a rectangular solid with a length of 12 feet, a width of
3 feet, and a height of 4 feet?

Answers

Answer: 144 Cubic Feet

Explanation: Multiply all of your numbers together to get your volume.

Numbers : Length(12) x Width(3) x Height(4) = 144 cubic feet.

I hope this helps you! :)

PLEASE HELP ASAP
EVERYTHING NEEDED IS IN THE PIC BELOW

Answers

Answer:

37.69

Step-by-step explanation:

There are 3 circles

Circle A ( radius = 6 cm )

Circle B ( radius = 4 cm )

Circle C ( radius = 2 cm )

the circumference of a circle is C = 2 Pi x r

from each circle we need half of the circumference

Circle A : P = 2pi x 6 / 2 = 6 pi

Circle B : P = 2pi x 4 / 2 = 4 pi

Circle C : P = 2pi x 4 / 2 = 2 pi

the perimetee of the shaded shape is = 6 pi + 4 pi + 2 pi = 12 pi = 37.69 cm

Find the slope of the line y=7x–6.

Answers

Answer:

slope: 7

y-intercept:  (0,−6)

Step-by-step explanation:

determine if the relationships are linear and if so are they proportional

Answers

y=2-x^2
Vertex ( 0, 2 )
Focus : ( 0, 7/4 )
Axis of symmetry : x = 0
Directrix : y = 9/4

-
Use inverse operations to write the inverse of f(x) = x +
3/2

Answers

Answer:

I believe the correct answer is f^-1 (x) = x - 3/2

Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x

B. F(x) = х/X + 3

O c. F(x) = x-3/x


D. FX) = x/3

Answers

Answer: A
Hope this helped.

The given graph is of the rational number f(x)=1/x(x-3)

What is rational numbers ?

All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.

here, we have,

Which function represents the given graph :

The given graph represents the function f(x)=1/x(x-3)

Since the value of x can never be equals to zero in this function as graph is representing.

Hence option (b) f(x)=1/x(x-3) is the correct answer.

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the students in mr reed's english class are reading the same 760 page novel. Three friends alice, bob and chandra, are in the class. Alice reads a page in 20 seconds, bob reads a page in 45 seconds and chandra reads a page in 30 seconds. Before chandra and bob start reading. Alice says she wants to team read with them. If they divide the book into three sections so that each reads fore the same amount of time, how many seconds will each have to read?

Answers

Answer:

please rate and mark as brainlest.

Step-by-step explanation:

alice will have 5067 seconds,

bob will have 11400 seconds

chandra will have 7600 seconds.

first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.

please rate and mark as brainlest.

Find the coordinates of the midpoint of CD with endpoints C(-3,7) and D(3,-7).

Answers

Answer:

(0, 0) are the coordinates of the mid point

Step-by-step explanation:

[tex]coordinate \: of \: mid \: point \: = \\ ( \frac{x1 + x2}{2} \: \: \: \: \frac{y1 + y2}{2} ) \\ ( \frac{ - 3 + 3} {2} \: \: \: \: \: \: \: \frac{7 + - 7}{2} ) \\ ( \frac{0}{2} \: \: \: \: \: \: \: \: \frac{0}{2} ) \\ (0 \: \: \: \: \: \: \: \: \: \: \: 0)[/tex]

f(x)
-6
Which is a possible turning point for the continuous
function f(x)?
-4
Х
-4
-3
-2
-1
0
1
2
ООО
(-3, 4)
O (-2,-1)
(0, -5)
(1, -8)
-1
-2
-5
-8
-16

Answers

Answer:

-5

Step-by-step explanation:

because 6-1=-5 therefore the is -5

The possible turning point for the continuous function f(x) is (-2, -1)

What is the turning point of a function?

A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.

There are two types of turning point:

A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.

Given are the coordinates of a function,

We need to find the turning point of the same,

Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.

Hence, the possible turning point for the continuous function f(x) is (-2, -1)

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The complete question is attached

find the total surface area of the net below.

Answers

Answer:

78,4 cm^2

Step-by-step explanation:

I did this in my head so i could be wrong but im pretty certain this is right

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