a random sample of 362 california residents responded to a municipal water district poll about how often they water the garden or lawn. the response choices were: daily, every other day, 2-3 times per week, once per week, less than once. the municipal water district wants to know if there is a difference between watering habits in northern california and southern california. a municipal water district employee conducted a chi-square test of independence. in this results table, the observed count appears above the expected count in each cell. daily every other day 2-3 times per week once per week less than once per week totals northern 17 19.2 24 33.1 62 160.0 48 37.6 11 12.1 162 southern 26 23.8 50 40.9 72 74.0 36 46.4 16 14.9 200 totals 43 55 153 84 27 362 which hypothesis is appropriate for a test of independence? check all that apply. group of answer choices : living in northern or southern california is not associated with watering habits. : living in northern or southern california is associated with watering habits. : the proportion of northern california residents watering daily is equal to the proportion of southern california residents watering daily. : the proportion of northern california residents watering daily is less than the proportion of southern california residents watering daily.

Answer: 60%

Step-by-step explanation:

(5 × p) / 100 = 3

((5 × p) / 100) × 100 = 3 × 100

5p = 300

5p / 5 = 300 / 5

p = 60

Percent Increase = 60

Answer: 0.555555556

Step-by-step explanation:

15/27=0.555555556

Checking work by plugging it in: 27x0.555555556=15

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

Work Shown:

a = old value = 15

b = new value = 27

c = change in values

c = b-a

c = 27-15

c = 12

The positive c value tells us that we have an increase.

Then divide over the starting value a = 15

c/a = 12/15 = 0.80

Move the decimal point two spots to the right to go from 0.80 to 80%

Or multiply 0.80 with 100% to get 0.80*100% = 80%

We have a percent increase of 80%

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

Check:

80% of 15 = 0.80*15 = 12

If the stock increases by 80%, then it has increased by $12 to go from $15 a share to 15+12 = 27 dollars a share. This confirms the answer.

A slight shortcut would be to say 1.80*15 = 27

The multiplier 1.80 represents an increase of 80% since 100% + 80% = 1 + 0.80 = 1.80

The amount of pure antifreeze that needs to be added = 1.429 quarts

What is antifreeze ?

A colored liquid called antifreeze, often known as engine coolant, is combined with water to assist regulate your engine in extremely hot weather.

Let x be the amount of pure antifreeze that needs to be added

The amount of pure antifreeze added (x) plus the amount of pure antifreeze in the 5 quart of 10% antifreeze solution [ 0.1*5] should be equal to the amount of pure antifreeze in the final mixture [ 0.3*(5+x) ]

The equation obtained is:

x+[0.10*5]=0.30(5+x)

x+0.5=1.5+0.30x

x-0.30x =1.5-0.5 = 1

0.70x=1

divide each side by 0.70

x=1.429 quarts

So, the amount of pure antifreeze that needs to be added = 1.429 quarts

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The r - values that represents the weakest linear correlation is ;

-0.312 is the weakest negative correlation and 0.558 is the weakest positive correlation.

Given,

The r- values;-

- 0.904, -0.312, 0.558, 0.870

We have to find the r - values that represents the weakest linear correlation;

r- values represents correlation between two variables. The r- value lies from -1 to 1.

So, here.

-0.904 is close to -1, so it represents strong negative correlation.

-0.312 is close to -0.5, so it represents weak negative correlation.

0.558 is close to 0.5, so it represents weak positive correlation

0.870 is close to 1, so it represents strong positive correlation.

Therefore,

The r - values that represents the weakest linear correlation is ;

-0.312 is the weakest negative correlation and 0.558 is the weakest positive correlation.

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Answer:

-0.312

Step-by-step explanation:

−0.312

The size of the correlation, r  indicates the strength of the linear relationship between x and y. Values of r which are closer to −1 or to +1 indicate a stronger linear relationship between x and y.

The slope of a line that is parallel to the line y = x + 2 is 1.

What is slope?

A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).

Given the equation of line: y = x + 2

We have to find the slope of a line that is parallel to the given line.

Since any line parallel to the given line  y = x + 2  will have the same slope as that of a given line

The general equation of line is given as y = mx + c

where. m is the slope of the line and c is y-intercept.

Thus for given equation of line y = x + 2

Comparing , we get

slope is m=1

Thus, any line with slope 1  is parallel to the given line y = x + 2

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The smallest number of people when one could have been at the party is 211 people.

This is a least common multiple question, also known as an LCM. We know this because all groups would have formed evenly if the one extra person had not arrived at the party. This means that there are 1 more people at the party than a number 2, 3, 5, or 7.

In this case, the number will be:

= (2 × 3 × 5 × 7) + 1

= 210 + 1

= 211

Applicable multiples of 7

(7 × 10) = 70 → 70 + 1 = 71 → 71/3 = 23 R2 → not possible

(7 × 20) = 140 → 140 + 1 = 141 → 141/3 = 47 → not possible

(7 × 30) = 210 → 210 +1 = 211 → 211/3 = 70 R1 → possible.

Therefore, the number of people is 211.

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Answer:( 3.5 , -2 )

Step-by-step explanation:

In the expression 5x + 5 = 95,  the value of x is 18

What is an angle ?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

The given angle 5x + 5 is equal to 95

We need to calculate the value of x

5x + 5 = 95

5x = 95 - 5

5x = 90

x = 90/5

x = 18

Therefore, the expression 5x + 5 = 95 is solve and the value of x is 18

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Answer:The answer is:

k

=

2

.

Given two point,

A

(

x

a

,

y

a

)

and

B

(

x

b

,

y

b

)

the slope of the line that passes from them is:

m

=

y

b

−

y

a

x

b

−

x

a

.

So:

−

2

=

6

−

2

k

−

4

⇒

−

2

(

k

−

4

)

=

4

⇒

−

2

k

+

8

=

4

⇒

−

2

k

=

−

4

⇒

k

=

2

.

Step-by-step explanation:The answer is:

k

=

2

.

Given two point,

A

(

x

a

,

y

a

)

and

B

(

x

b

,

y

b

)

the slope of the line that passes from them is:

m

=

y

b

−

y

a

x

b

−

x

a

.

So:

−

2

=

6

−

2

k

−

4

⇒

−

2

(

k

−

4

)

=

4

⇒

−

2

k

+

8

=

4

⇒

−

2

k

=

−

4

⇒

k

=

2

.

Answer: The answer is 81m + 27t

Step-by-step explanation:

Answer: (3t)^t+3 and 3^t^2 x 27^t are both equivalent to the expression while 9^t x 27^t is not equivalent.

Step-by-step explanation:

The height of a cylinder is D. 7 halves inches

The volume of a cylinder is calculated as:

V = πr²h

r = radius = 1/3

h = height = ?

v = volume = 1 2/9

We will slot the value info the formula. This will be:

V = = πr²h

1 2/9 = 22/7 × 1/3 × 1/3 × h

1 2/9 = 22/63h

Divide through by 22 / 63

h = 1 2/9 ÷ 22/63

h = 11/9 × 63/22

h = 7/2

The correct option is D.

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Answer:

7/2 is your answer i have the same test :)))

Step-by-step explanation:

The volume of a cylinder is calculated as:

V = πr²h

r = radius = 1/3

h = height = ?

v = volume = 1 2/9

We will slot the value info the formula. This will be:

V = = πr²h

1 2/9 = 22/7 × 1/3 × 1/3 × h

1 2/9 = 22/63h

Divide through by 22 / 63

h = 1 2/9 ÷ 22/63

h = 11/9 × 63/22

h = 7/2

The correct option is D.

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23/25 is greater than 9/10

23/25=92/100

9/10=90/10

92>90

Answer:

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

Sum of interior angles of a regular polygon is:

Find the measure of interior angle a:

Equate the values of angle a and solve for z:

Correct choice is B.

Answer:

z = 12

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.4 cm}\underline{Interior angle of a regular polygon}\\\\$\dfrac{180^{\circ}(n-2)}{n}$\\\\where $n$ is the number of sides.\\\end{minipage}}[/tex]

Given that the regular polygon has 5 sides, then the measure of one interior angle is:

[tex]\implies \dfrac{180^{\circ}(5-2)}{5}=\dfrac{180^{\circ}(3)}{5}=\dfrac{540^{\circ}}{5}=108^{\circ}[/tex]

If "a" is the measure of one angle, and m∠a = (3z + 72)° then:

[tex]\implies m \angle a=108^{\circ}[/tex]

[tex]\implies (3z+72)^{\circ}=108^{\circ}[/tex]

[tex]\implies 3z+72=108[/tex]

[tex]\implies 3z+72-72=108-72[/tex]

[tex]\implies 3z=36[/tex]

[tex]\implies \dfrac{3z}{3}=\dfrac{36}{3}[/tex]

[tex]\implies z=12[/tex]

Answer:

f(x) = - x² + 2x - 2 :

x → - ∞

f(x) → - ∞

f(x) = x⁴ + 3x² + x - 3 :

x → ∞

f(x) → ∞

Answer: 0

Step-by-step explanation:

8x-4=4(2x+1)

8x-4=8x+4

0= 8

This isn't true as 0 can't equal to 8 so there are 0 solutions

Answer:6x

Step-by-step explanation: Put the x's on one side and other on the other side

Answer:

The equation has a solution,

Step-by-step explanation:

Given equation,

→ 8x + 16 = 2x + 16

Now the value of x will be,

→ 8x + 16 = 2x + 16

→ 8x - 2x = 16 - 16

→ 6x = 0

→ x = 0/6

→ [ x = 0 ]

Hence, the value of x is 0.

Answer:

$16.28

Step-by-step explanation:

44.%

Move the decimal up by two numbers to get a whole number, .44

and multiply .44 by $37

Answer:

f(-5) = -16

Step-by-step explanation:

f(-5) =  -  [tex](-5)^{2}[/tex] + 9

-(25) + 9

-25+9

-16

Answer:

361

Step-by-step explanation:

The side length, x, of the right triangle will be 26 units.

According to the question,

We have the following information:

In a right triangle, two of the sides are 24 units and 10 units.

The complete question is that 24 units is the perpendicular and 10 units is the base of the given right triangle.

Let's denote hypotenuse with h, perpendicular with p and base with b.

We will find the hypotenuse of the triangle using the Pythagoras theorem:

[tex]h^{2} = b^{2} +p^{2}[/tex]

[tex]h^{2}= (24)^{2}+ (10)^{2}[/tex]

[tex]h^{2} = 476+100\\h^{2} = 576[/tex]

h = √576

h = 26 units

Hence, the side length, x, of the right triangle will be 26 units.

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Answer:

A = ₤500

B = ₤420

C = ₤340

D = ₤260

See Image 1 attached for the plot.

Step-by-step explanation:

The bank account starts with ₤500, so that is the amount at 0 months on the chart.

After one month, ₤80 is withdrawn, and the total becomes:

[tex]500-80=420[/tex]

After two months, another ₤80 is withdrawn from the account:

[tex]420-80=340[/tex]

Finally, after 3 months, ₤80 is withdrawn again:

[tex]340-80=260[/tex]

The answer of the given question is $6.4, this is the money that need to be added onto the bill for the tip.

How to calculate a 20% tip?

To calculate tip, we need to multiply the total bill by 1 plus the decimal percentage tip we'd like to leave. If we wanted to leave a 20% tip, we would add 1 to 0.20 to get 1.20. Then, multiply the bill by 1.20 to get the total amount we'd leave including tip.

In this case, we have a $32 bill and we would like to add on an 20% tip. So, it will be as follows:

20% = 0.20

1 + 0.20 = 1.20

Total bill will be 1.20 x $32 = $38.4

Hence, the tip amount is $38.4 - $32 = $6.4

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As per the concept of counting problem, the reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.

Counting Problems

Basically, counting refers the process of finding the number of elements of a finite set of objects.

Given,

Suppose you have a nickel, two dimes, and a quarter. One of the dimes was minted in 1976, and the other one was minted in 1992.

While we looking into the given problem,

For A) states that,  If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.

Here in this process if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.

And If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.

Then If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.

So, If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.

So, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.

Similarly, for b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.

Then If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums.

So, If you choose two coins, you could choose the following sets of coins : DP, DQ, PQ, Q1Q2.And this gives us 4 possible sums

Then If you choose three coins, you could choose the following sets of coins: DPQ, DQ1Q2, PQ1Q2. And this gives us 3 possible sums

Then If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum.

So, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.

Finally, c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.

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Considering the data in the table, it is found that:

a) The scatter plot is given by the image at the end of the answer.

b) The correlation of the scatter plot is negative, as when the input increases the output decreases.

c) The estimate for the depth at 15 seconds is of 50.37 cm.

The scatter plot is built inserting all the points in the table, which are in the following format:

(Time, Depth).

Hence the points are given as follows:

(2, 47), (4, 41), (6, 38), (8, 37), (10, 32), (12, 24), (14, 20), (16, 19).

From both the table and the scatter plot given by the image at the end of the answer, as the input increases, the output decreases, hence the scatter plot has a negative correlation.

To make a prediction for a given input, the line of best fit has to be constructed using these points.

Inserting these points into a linear regression calculator, the line of best fit is:

y = -2.07x + 50.89.

At a time of 15 seconds = 0.25 minutes, the depth will be of:

y = -2.07 x 0.25 + 50.89 = 50.37 cm.

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The volume of the solid bounded above by the parabolic cylinder is 191π/64.

Given:

the Parabolic cylinder z=1−y^2 and below the plane 3x+3y+z+10=0 and on the sides of circular cylinder x^2+y^2−x=0.

[tex]x^2+y^2-x=(x-\frac12)^2 +y^2-\frac14=0[/tex]

Recenter the circle with x−1/2=u and integrate the volume over the disk

u^2+y^2 = 1/4.

[tex]\int_{u^2+y^2 < \frac14} [(1-y^2)-( -2x-3y-10)][/tex]

[tex]=\int_{u^2+y^2 < \frac14} (2u+3y-y^2 +12)[/tex]

[tex]=\int_{u^2+y^2 < \frac14} (12-y^2)[/tex]

[tex]=\int_0^{2\pi}\int_0^{1/2} (12-r^2 \sin^2\theta)rdr d\theta =\frac{191\pi}{64}\\[/tex]

Therefore The volume of the solid bounded above by the parabolic cylinder is 191π/64.

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Lenny's total wage is $7000

In this question, Lenny works a basic week of 32 hours. His basic rate of pay is $1,750. During a certain week he worked 9 hours overtime for which he was paid triple time.

32 hours of work = $1750

In a certain week, we work 9 hours as over time

For this overtime which he was paid triple time.

1750 * 3 = $5250

So, Lenny's total wage would be,

$1,750 +  $5250 = $7000

Therefore,  Lenny's total wage is $7000

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The inequality represents the situation group of parents who would like to earn at least $600, after paying for the cost of renting the space $40 an hour, and charging $8 per person for entry into the event is 8x - 4y ≥ 600, and x > 0, Y > 0.

We are given the following;

They charge $8 per person for entry into the event.

The group would like to earn at least $600, after paying for the cost of renting the space, which is $40 an hour.

Let the number of people be x and the number of hours they are present in the space be y.

Per person entry cost is $8.

Donations by all the people entering the space are 8x.

The per hour cost of rent is $40.

The total cost of renting the space is 40y which will be subtracted from the total amount of donations.

They plan to earn a minimum of $600.

So, the inequality will be given by;

8x - 4y ≥ 600 and x > 0, Y > 0.

Thus, the inequality represents the situation group of parents who would like to earn at least $600, after paying for the cost of renting the space $40 an hour, and charging $8 per person for entry into the event is 8x - 4y ≥ 600, and x > 0, Y > 0.

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Answer:

B. 1 over 3 x 12 hours

Step-by-step explanation:

The oil company fills 1/12 of a tank in 1/3 an hour. So, you multiply 1/3 times 12, since 12 is a full tank. It'll take 4 hours to fill the tank at this rate.

1/12 tank: 1/3 hour

2/12 tank: 2/3 hour

3/12 tank: Full hour

3/12 is equivalent to 1/4, meaning 1/4 of the tank is filled after 1 hour. Thus, it'll take 4 hours.