What is the average rate of change in temperature from February to May?

Answer:

the orange juice has more ounces than the pineepple juice

Step-by-step explanation:

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

Answer:

b

Step-by-step explanation:I hope this helps

Answer:

4 1/2 flowers

Step-by-step explanation:

2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.

Answer: a. This line's slope-intercept equation: y=-9.7x+417.1

b. 31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Step-by-step explanation:

Linear equation: y=mx+c  (slope-intercept equation)

, where m= rate of change in y with respect to change in x , c= Initial value.

Let y=   Mass of remaining gas after x minutes.

m= -9.7 (given)

At x= 8, y=339.5

Thus,

[tex]339.5=(-9.7)(8)+c\\\\\Rightarrow\ 339.5=-77.6+c\\\\\Rightarrow\ c= 339.5+77.6=417.1[/tex]

a. This line's slope-intercept equation: y=-9.7x+417.1

b. At x= 31 minutes

y=-9.7(31)+417.1

⇒ y=-300.7+417.1

⇒ y=116.4

31 minutes after the experiment started, there would be 116.4 grams of gas left.

c. Put y=0, we get

[tex]0=-9.7x+417.1\\\\ x=\dfrac{417.1}{9.7}\\\\ x=43[/tex]

If a linear model continues to be accurate,43 minutes since the experiment started, all gas in the container will be gone.

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

Answer:

a c

Step-by-step explanation:

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

72 nuts mix the trail 4 ➕ 8

Answer:

Step-by-step explanation:

Answer:

y = 1/20x + 6

Step-by-step explanation:

The number of minutes is your x-value. The amount charged is your y-value.

Let's convert the numbers in the table into coordinates.

(30, 7.5)

(120, 12)

(220, 17)

Now, we will take two points and use the slope formula to plug into the slope-intercept equation: y = mx + b

I chose the first and last points given. All three points do not lie on the same line, but using the first and last point should be closer to the line of best fit.

(30, 7.5) & (220, 17)

m = (y₂ - y₁) / (x₂ - x₁)

m = (17 - 7.5) / (220 - 30)

m = (9.5) / (190)

m = 0.05 = 5/100 = 1/20

m = 1/20

Plug m into your equation.

y = 1/20x + b

To find b, plug in a point for x and y.

17 = 1/20(220) + b

17 = 11 + b

b = 6

Plug b into your equation.

y = 1/20x + 6

Hope this helps!

Answer:

8 litre

Step-by-step explanation:

very simple 120÷15=8

hope it helps you

please mark me as brainlist

answer 41x

Step-by-step

Answer:

el 3

Step-by-step explanation:

Step-by-step explanation:

step 1. a function must only have a single y value for each x value.

step 2. for the input x, there can only be one output or result y.

step 3. #1 is a function because for each x there is only one y.

step 4. #2 and #3 are functions also.

step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)

step 6. (2, 2) and (2, -2) also makes #4 not a function.

x2  < −6x − 26

x < -x2/6 - 13/3

respondo por qué el juego me lo diste 2+24

Answer:

Step-by-step explanation:

Equation in slope-intercept form:

Substitute values:

Let us assume that the number is X

According to the statement:

2✓x = 12

Divide both sides by 2;

✓2 = 6

Square both sides,

x² = 6²

X = 36

Hence the required number is 36.

Responder:

1" = 83 ft

10.5" = 83*10.5=871.5 ft

Explicación paso a paso:

Espero que esto te ayude ¡UwU! Saludos, Jaclyn

Answer:

Expanded Notation Form:

234.2

=

200

+

30

+

4

+

0.2

Expanded Factors Form:

234.2

=

2 ×

100

+

3 ×

10

+

4 ×

1

+

2 ×

0.1

Expanded Exponential Form:

234.2 =

2 × 102

+

3 × 101

+

4 × 100

+

2 × 10-1

Word Form:

234.2 =

two hundred thirty-four and two tenths

Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

Answer:

puto el que lo lea

Step-by-step explanation:

jajajaja lol no

Answer:

5

Step-by-step explanation:

40+5=45. 45/9=5

Answer:

y = -11/4

Step-by-step explanation:

2 ( -4y - 7) + 3 = 11

-8y - 14 + 3 = 11

-8y - 11 = 11

-8y = 22

y = -11/4

Answer:

12

Step-by-step explanation:

-4 + 12 =7

Answer:  x(0,0)y(0,0) tell me more I don't really understand it

x=3.4

Step-by-step explanation:

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

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(-9-(-2))

m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

This means each time you go down 3 units, you go to the right 7 units.

Slope = rise/run = -3/7

rise = -3 and run = 7

Answer:

$67.49 and 1/4 of a cent

Step-by-step explanation:

25% of 89.99 = 224975

89.99-22.4975=67.4925

Answer:

25%=1/4  1/4 of 90= 22.5  90-22.5=67.5

Step-by-step explanation:

Answer:

it can't be simplified

Step-by-step explanation:

Answer:

mineeeeeeeeeeee

Step-by-step explanation:

Answer:

It should be the first quadrant

Hope that helps!

Answer:

a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.

b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

(a) What is the probability that a random committee is made up of 2 women and 1 man?

Order is not important, so we use the combinations formula.

Desired outcomes:

2 women from a set of 6, and a men from a set of 5. So

[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]

Total outcomes:

3 people from a set of 6 + 5 = 11. So

[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]

0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.

(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?

Now, the order is important, which means that we use the permutations formula.

Desired outcomes:

2 women from a set of 6, and a men from a set of 5. So

[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]

Total outcomes:

3 people from a set of 11. So

[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]

0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man

Answer:

300

Step-by-step explanation: