Assessment

42. Marco goes on a recreational scuba diving

expedition. What is a possible diving depth for

his expedition?

A0 meters

B40 meters

400 meters

D-40 meters

The statement B is correct, i.e., The result of the survey is statistically significant.

The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.

Given:

To find: WHich of the given statements is correct?

Finding:

According to the given data,

Hence, the statement B is correct, i.e., The result of the survey is statistically significant.

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(COMPLETE QUESTION:

A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?

a.)

The difference exists due to chance since the test statistic is small.

b.)

The result of the survey is statistically significant.

c.)

The sample size should be much more.

d.)

The result of the survey is not statistically significant.)

10

_

8

Step-by-step explanation:

corect me if i wrong

Tom and Ben received 650 and 780 respectively.

Let the amount paid to each for every hour they work be x. Now, forming the equation as per the given information in question.

5x + 6x = 1430

Performing addition to find the value of x.

11x = 1430

Shifting 11 to Right Hand Side of the equation

x = 1430 ÷ 11

Performing division to find the value of x

x = 130

Now finding the amount received by Tom and Ben based on the number of hours they worked.

Amount received by Tom = 5x

Amount received by Tom = 5 × 130

Amount received by Tom = 650

Amount received by Ben = 6x

Amount received by Ben = 6 × 130

Amount received by Ben = 780

Therefore, the amount received by Tom and Ben are 650 and 780 respectively.

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Answer:

if the cost for the luncheon was $558

and 24 attendees ordered the meat lunches , how many vegetarian lunches were

Step-by-step explanation:

Answer:

Step-by-step explanation:

- - - - - - - - - - - - - - - - - - - - - - - -

Work below. Enjoy!

- - - - - - - - - - - - - - - - - - - - - - - -

A simple way to determine the scale factor is to measure a segment's size in units and compare it to the original.

Segment XW = 6 units

Segment EF = 2 units

Now, simply divide the larger (6) by the smaller (2) and you get your answer (3).

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck! :)

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~pinetreee

Answer:

A: 2

B: 5

C: 4

D: 3

E: 1

Step-by-step explanation:

Looks right to me :)

Answer:

17. (2/5)

19. (-7/3)

21. (2/3)

Step-by-step explanation:

17.

    5            5             1

- -------n + ------n = - ------

    2            4             2

    5 (2)       5             1 (2)

- -------n + ------n = - ------

    2 (2)       4             2 (2)

   10            5             2

- -------n + ------n = - ------

    4            4             4

   10            5             2

(- -------n + ------n = - ------) (4)

    4            4             4

-10n + 5n = -2

-5n = -2

÷ -5 ÷-5

n = (2/5)

----------------------------------------------------------------------------------------------------------

19.

 3           15           21

-------n - -------n = -------

 2             4           4

 3 (2)      15           21

-------n - -------n = -------

 2 (2)       4            4

  6           15           21

(-------n - -------n = -------) (4)

  4             4           4

6n - 15n = 21

-9n = 21

÷-9   ÷-9

n = (-7/3)

----------------------------------------------------------------------------------------------------------

21.

     1                    5

- -------n - n =  - -------

     4                   6

   1 (3)               5 (2)

- -------n - n =  - -------

   4 (3)               6 (2)

     3                   10

- -------n - n =  - -------

    12                   12

     3                      10

(- -------n - n =  - -------) (12)

    12                      12

-3n - 12n = -10

--15n = -10

÷-15    ÷-15

n = (2/3)

----------------------------------------------------------------------------------------------------------

I hope this helps!

No

Step-by-step explanation:

All numbers that are prime are odd and If the number is divisible by 2 it would be a composite number

The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given the inequality,

y ≤ −x² + 2x

The inequality consists of two functions,

y ≤ -x² and y ≤ 2x

Now if we plot both inequalities

x = 0 ⇒ y = 0

And,

2x ≤ -x²

-x²/x ≥ 2

x ≤ -2

So,

y ≤ 2(-2)

y ≤ -4

If we plot both as shown below then the bounded region is obtained towards the right therefore the solution will be greater than this.

Therefore (x,y) ≥ {(0,0) and (-2,-4)} will be solution.

Hence "The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis".

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The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let w represent the number of weeks.

For Kiara:

Money in account = (80 - 35)w + 250 = 45w + 250

For Gael:

Money in account = (95 - 20)w + 310 = 75w + 310

For both to have same amount of money:

45w + 250 = 75w + 310

The equation to determine the week w when Gael and Kiara have the same amounts of money in their account is 45w + 250 = 75w + 310

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Answer: QV=31 units ==> 3rd option

Step-by-step explanation:

SV=QV   ==> Congruent segments are equal

4x-1=QV

TQ=TS   ==> Congruent segments are equal

26=3x+2

26-2=3x+2-2

3x=24

x=8

4x-1=QV

4(8)-1=QV

32-1=QV

QV=31 units ==> 3rd option

The problem is asking for the product, meaning we need to multiply.

-2 1/4 * 2 1/2

To make multiplying easier, we can convert the mixed numbers into improper fractions.

2 * 4 = 8, + 1 = 9/4

2 * 2 = 4, + 1 = 5/2

Now, we have this:

-9/4 * 5/2

Since the denominators are different, we can find the least common multiple of the denominators to make them the same. In this case, the least common multiple of 4 and 2 is 4.

-9/4 * 1 = -9/4

5/2 * 2 = 10/4

Now, we have this:

-9/4 * 10/4

We can now multiply!

-9 * 10 = -90

/4 * /4 = /16

= -90/16

You can simply the improper fraction if you'd like.

-90 / 16 = -5.625

So, our answer is -90/16, or -5.625.

Answer: -104y^2 + 52y

Step-by-step explanation:

-13y(8y-4)=

-13y*8y - 4(-13y)= ==> distribution property

-13*8*y*y - (-52y)=-104y^2 + 52y    

16th percentile of corn yield for counties in iowa is 153.4.

In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.

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Answer:

Part A is 63-7.5

Step-by-step explanation:

The length of each side of the chip is 9 centimeters.

A square is an object that has four sides and four equal sides. All the four sides of a square are of equal length. A square has two diagonal that bisect each other at 90°.

The area of a square = length²

Given the area of a square, the length can be determined by calculating the square root of the area of the square. The square root of a number divides a number into two equal halves.

Length = √area

√81 = 9cm

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In the first pair of numbers  15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is two pairs of expressions. From the image given , we can write them as -

Pair 1 → f(x) = 15/x² + 6     and       h(x) = 15/x² + 7

Pair 2 → f(s) = (s² + 2)/(s² + 1)    and       h(s) = (s² + 4)/(s² + 3)  

We can compare which expression is larger in both the pairs without substituting any specific value as follows -

Pair 1 →  f(x) = 15/x² + 6     and       h(x) = 15/x² + 7.

The numerator is same in both the functions.

Now, for any value of x ∈ R →  x² + 6 < x² +7  by 1. Therefore, f(x) > h(x)

Pair 2 → f(s) = (s² + 2)/(s² + 1)    and      h(s) = (s² + 4)/(s² + 3)  

f(s) = (s² + 2)/(s² + 1) = [(s² + 1) + 1]/(s² + 1) = 1 + 1/(s² + 1)

h(s) =  (s² + 4)/(s² + 3) =  [(s² + 3) + 1]/(s² + 3) = 1 + 1/(s² + 3)  

So, we can write that -

f(s) = 1 + 1/(s² + 1)

h(s) = 1 + 1/(s² + 3)  

Now for any value of s →  (s² + 1) < (s² + 3)  by 2. So →  1/(s² + 1) > 1/(s² + 3). Therefore → 1 + 1/(s² + 1) > 1 + 1/(s² + 3). Finally, we can write -

(s² + 2)/(s² + 1) > (s² + 4)/(s² + 3)

Therefore, in the first pair of numbers  15/x² + 6 is larger and in the second pair of numbers (s² + 2)/(s² + 1) is larger.

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Answer:

False

Step-by-step explanation:

Distribute, do the math, and evaluate the resulting equality/statement to see if it is true

10 - 14 = 1

-4 = 1

That is not true so the answer is false

The numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.

Here, we are given 6 numbers-

2.2, 2.276, 2.291, 2.14, 2.26, 2.221

Now, we can add as many zeroes as we want after the decimal, it does not change the value of the number.

Thus, let us make all the numbers 3 digit decimal numbers

2.200,  2.276,  2.291,  2.140,  2.260,  2.221

Here, all the numbers have 2 in the units place, so we just need to compare the decimals

The first digit after decimal is 2 in all the numbers except 2.140, thus it is the smallest.

Then, the second digit after decimal is 0 in 2.200, thus it is the next smallest number.

By similar logic, looking at the second digit after the decimal only we can arrange the remaining numbers as 2.221, 2.276, 2.260, 2.291.

Thus, the numbers ordered from least to greatest are- 2.14, 2.2, 2.221, 2.276, 2.26, 2.291.

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Your question was incomplete. Please check for full content below-

Drag the numbers below to put them in order from least to greatest

2.2, 2.276, 2.291, 2.14, 2.26, 2.221

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-5+6 = 1

6-5 = 1

therefore, the answer is D.

Answer:

D

Step-by-step explanation:

-5+6=+1

and 6-5=+1

since both are equal to 1

D is the answer

Answer:

60 percent

I think it is 60 but you might need a more certifyd answer

==================================================

Explanation:

A is 40% of B

This translates to the equation A = 0.40B or A = 0.4B

This is because 40% converts to 0.40 in decimal form

Let's divide both sides by 0.4 to isolate B

A = 0.4B

A/0.4 = B

B = (1/0.4)A

B = 2.5A

This shows that B is 250% of A

------------

Another approach:

40% = 40/100 = 2/5

"A is 40% of B" is the same as "A is 2/5 of B

So,

A = (2/5)*B

5A = 2B

2B = 5A

B = 5A/2

B = (5/2)A

B = 2.5A

which is another way to show that B is 250% of A

Answer:

- 4(4z + 3)

Step-by-step explanation:

- 16z - 12 ← factor out - 4 from each term

= - 4(4z + 3)

Answer:

c) 5

Step-by-step explanation:

Solving for the value of x,

→ 3x - 8 - 4x = -13

→ 3x - 4x = -13 + 8

→ -x = -5

→ [ x = 5 ]

Thus, the value of x is 5.

Answer:

5

Step-by-step explanation:

Use PEMDAS

First you should do is to combine like terms

[tex] - x - 8 = - 13[/tex]

Haveing combined ike terms you need to add 8 to both sides (Like terms are terms that have the same variable like,x)

[tex] - x = - 5[/tex]

Then divide by a negative 1

(this is to get rid of negative x)

[tex]x = 5[/tex]

Hope this helps!

Feel free to ask questions

The total change in the number of bushels he has for sale after 7 days = 116.2

In this question,

A farmer sells an average of 16 3/5 bushels each day.

We write above improper fraction 16 3/5 in proper fraction as 83/5

And the decimal form of given fraction 83/5 is:

83/5 = 16.6

After 7 days, he would sold (16 3/5) × 7 bushels.

We simplify an expression (16 3/5) × 7

(16 3/5) × 7 = 16.6 × 7

                  = 116.2

As a result, the farmer would have only 120 - 116.2 = 3.8 bushels for sale.

Therefore, the total change in the number of bushels he has for sale after 7 days = 116.2

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Using linear functions, we have that:

a) The system is composed by these following equations: 175 + 55x, 325 + 25x.

b) The graph is given at the end of the answer.

c) From the point of intersection on the graph, both services will have the same cost of $450 for 5 hours of work.

A linear function is modeled by:

y = mx + b

In which:

For each function, we have that:

Hence the linear equations that compose the system are given by:

175 + 55x, 325 + 25x.

The graph is given at the end of the answer, and from it, the intersection point is at (5,450), meaning that both services will have the same cost of $450 for 5 hours of work.

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The answers are :

Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate.

Part A: To rearrange the distance formula for the value of rate, rate will be on Left Hand Side of the equation and other variables will be on Right Hand Side of the equation.

rate = distance/time.

Part B: Rate in meter per hour can be calculated by keeping the values in formula formed in Part A.

Rate = 800,000 ÷ 4

Rate = 200,000 meters per hour.

Part C: To find the rate in kilometres per hour, we will simply convert the calculated rate from meters to kilometres. As per the known fact, 1000 meters = 1 kilometre.

Rate = 200,000 ÷ 1000

Rate = 200 kilometres per hour

Part D: The use of unit kilometre is more appropriate in this problem. This is because the speed is fast and contains many zeroes. Reading and understanding in the form of kilometres is more practical in comparison to meters.

Hence, Part A: r = d/t, Part B: 200,000 meters per hour, Part C: 200 kilometres per hour Part D: Kilometres is more appropriate

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