Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning,
Priya and Han make oatmeal for the group. The instructions for a large batch say, "Bring 15
cups of water to a boil, and then add 6 cups of oats."
• Priya says, “The ratio of the cups of oats to the cups of water is 6:15. That's 0.4 cups
of oats per cup of water."
• Han says, “The ratio of the cups of water to the cups of oats is 15 : 6. That's 2.5 cups
of water per cup of oats."
1. Who is correct? Explain your reasoning. If you
water (cups) oats (cups)
get stuck, consider using the table.
15
6
15
6
6
15

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge

Answer:

x = -22

Step-by-step explanation:

6(x+15) = -42

x+15 = -7

x = -22

Answer:

x=6

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

The value of f(-2) is -2 and the function f in the slope intercept form is y = (1/2)x - 1.

From the graph, we can observe that, the x-intercept is 2 and the y-intercept is -1.

Hence,

Coordinates of x-intercept = (0,-1)

Coordinates of y-intercept = (2,0)

Slope, m of the line = (-1-0)/(0-2) = -1/(-2) = 1/2.

General equation of the line in the slope intercept form :-

y = mx + c

Putting (0,-1) in the equation, we get,

-1 = (1/2)*(0) + c

-1 = 0 + c

c = -1

Hence, the equation of the function will be:-

y = (1/2)x - 1.

Now, value of f(-2) = (1/2)(-2) - 1 = -1 - 1 = -2.

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Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

Answer:

ok ill try

Step-by-step explanation:

Answer:

Age of Cathy = 19

Step-by-step explanation:

Find:

Sum of their ages = 54

Assume;

Age of Andrea = x

Age of Beth = x + 1

Age of Cathy = x + 2

Sum of their ages = x + x + 1 + x + 2

54 = 3 x + 3

3 x = 51

x = 17

Age of Cathy = x + 2

Age of Cathy = 17 + 2

Age of Cathy = 19

Answer:

if i knew the answer i would say it but i need it to

Step-by-step explanation:

Answer:no

Step-by-step explanation:

if it was then it supposed to be like 4*20=5*15 which is not right equation

A reflection of across line s is correct

The correct option is (b)

"Information available from the question"

The figure shows two perpendicular lines s and r, intersecting at point Pin the interior of a trapezoid.

Line r is parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.

Analysis the figure:

Since s is a line of symmetry

(x, y) = (-x, y)

r is not a line of symmetry

∴ (x, y) ≠ (x, -y)

(a) Across line r

(x, y) = (x, -y)

This is incorrect

(b)Reflection across line s

(x ,y) = (-x, y)

This is correct

(c) Rotation of 90° clockwise

(x, y) = (y ,-x)

This is incorrect

(d) Rotation of 180° clockwise

(x, y) = (-x, -y)

This is incorrect

(e) Rotation of 270° clockwise

(x, y) = (y ,-x)

This is incorrect.

Hence, A reflection of across line s is correct.

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Answer:

need help

Step-by-step explanation:

Carla is 1.3 miles away from the home.

Given that, Carla leaves home and walks 40° easy to the north for 1.5 miles, then turns and continues due west for 2 miles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

Here, c=√(1.5²+2²-2×1.5×2 cos40°)

c=√(2.25+4-6×0.7660)

c=√1.654

c=1.28

c=1.3 miles

Therefore, Carla is 1.3 miles away from the home.

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56 units are in the sum of the lengths of the three altitudes in a triangle with sides $7,$ $24,$ and $25$

Properties of triangles are:

A triangle has three sides and three angles.

The sum of the angles of a triangle is always 180 degrees.

The exterior angles of a triangle always add up to 360 degrees.

The sum of consecutive interior and exterior angle is supplementary.

Given:

Height: ha = 7

Height: hb = 24

Height: hc = 25

Sum to sides is:

25 +7 + 24 =56 units.

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Answer:

12

Step-by-step explanation:

123657890gjinvhjkfol

1) The length of the side DE by similar triangle theorem is; Option C: 20

3) If RY = b + 4 and SE =20, then the value of b is; 6

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. Thus, we can say that equilateral triangles, squares of any side lengths are as well examples of similar objects. This means that, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

1) ΔABC ~ ΔDEF

We are given the similar triangles ABC and DEF.

We are also told that ΔABC ~ ΔDEF.

Now, If AB = 10, AC = 8 and DF = 16

Thus, by similar triangle theorem, we can apply it to the attached triangle to get;

AB/DE = AC/DF

DE = (AB * DF)/AC

DE = (10 * 16)/8

DE = 20

3) Now, by using the concept of similar triangles, since we are given that;

R is the midpoint of line SH.

Y is the midpoint of line EH

RY = b + 4

SE =20

(b + 4)/20 = 1/2

Cross multiply to get;

2(b + 4) = 20

2b + 8 = 20

2b = 20 - 8

b = 12/2

b = 6

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The ordered pairs that are solutions to y + 2 = -3(x - 4) include :

To find the ordered pairs, insert the x value in an ordered pair, into the equation. If the y value that you are given is the same as the one in the ordered pair, then the ordered pair is a solution to the equation.

Ordered pair ( 5, - 5 ) :

y + 2 = - 3 ( 5 - 4 )

y + 2 = - 3

y = - 3 - 2

y = - 5

Ordered Pair ( 2, 4 )

y + 2 = - 3 ( 2 - 4 )

y + 2 = 6

y = 6 - 2

y = 4

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Options for this question are:

Answer

y = f(x) = 3x - 1

Explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

Two lines that are parallel to each other have the same slope.

If the equation of a straight line is written in the form of y = 3x - 6,

,The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, in y = 3x - 6, the slope = m = 3

So, using the point-slope form,

y - y₁ = m (x - x₁)

m = 3

(x₁, y₁) = (2, 5)

x₁ = 2, y₁ = 5

y - y₁ = m (x - x₁)

y - 5 = 3 (x - 2)

y - 5 = 3x - 6

y = 3x - 6 + 5

y = 3x - 1

In function notation, y = f(x)

So, the equation of the line required is

y = f(x) = 3x - 1

Hope this Helps!!!

Answer:

c

Step-by-step explanation:

it is the closest and its good to guese once and a while

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

If a rocking hi has a weight limit if 60lbs .The weight that is 95% of the limit is 33 pounds.

First step is to convert the 60lbs to kg

1 pounds to 1 kg = 0.453592

60 pounds = 27.2155kg or 27kg

OR

60 lbs×0.45359237 kg/1 lbs = 27.2155422 kg

Second step is to find the weight of the limit

Weight of the limit =  Weight limit - Kilogram

Weight of the limit = 60 -27

Weight of the limit = 33

Therefore we can conclude that the weight of the limit is 33 pounds.

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Answer:

-6a -5

Step-by-step explanation:

\(-6a+3-8\)

Subtract ; +3-8 =-5

\(-6a-5\)

Answer:

\(\boxed {\tt -6a-5}\)

Step-by-step explanation:

We are given the expression:

\(-6a+3-8\)

We want to simplify the expression. Combine like terms.

In this expression, there are 2 constants, or terms without variables. The constants, 3 and -8, can be combined.

\(-6a+(3-8)\)

\(-6a+(-5)\)

\(-6a-5\)

The simplified expression is -6a-5

There are two cases in the theorem's proof by cases. One of the cases is that x > 5 the other case is x ≤ 0.

Given that,

The theorem statement is for any real number x , x + | x − 5 | ≥ 5

There are two cases in the theorem's proof by cases. One of the case is x > 5.

We have to find what is the other case.

We know that,

For any real number x , x + | x − 5 | ≥ 5 --------> equation(1)

Take equation(1)

x + | x − 5 | ≥ 5

| x − 5 | ≥ -x + 5

We have to find the critical point,

That is |x − 5| = -x + 5

We get,

x - 5 = -x + 5 or x - 5 = -(-x + 5)

2x = 10 or 2x = 0

x = 5 or x = 0

Now, checking critical points then x = 0, x= 5 work in equation(1)

So, x ≤0 , 0≤ x ≤ 5 and x ≥ 5 work in equation(1)

Therefore, The case is given x > 5 then either case will be x ≤ 0.

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The probability that a patient will relapse after receiving desipramine depends on a variety of factors, such as dosage, duration of treatment, and pre-existing mental health conditions.

Generally speaking, it is estimated that around 50-70% of people who take desipramine as an antidepressant will experience relapse within six months of treatment cessation.

However, this rate can be decreased through longer treatment periods and/or higher doses of medication.

Additionally, patients may also benefit from lifestyle changes, such as increased physical activity, increased social engagement, and improved dietary habits.

Taking all of these factors into consideration, it is difficult to determine the exact probability of relapse in any given case.

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We can calculate the product of 5/8 and 4 to be 5/2 using multiplication.

Multiplication is one of the four basic mathematical operations, along with addition, subtraction, and division.

The result of a multiplication operation is a product.

There are four different methods for multiplying: addition, long multiplication, grid multiplication, and drawing lines.

So, we have:
5/8 and 4

5/8 is in the form p/q which represents the fraction that must be multiplied by 4.

Now, calculate the product as follows:

5/8 * 4

5/2

Therefore, we can calculate the product of 5/8 and 4 to be 5/2 using multiplication.

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The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

Answer: Hello! I'm JK!.....

Yes there is!

First, divide the large number by a small number.

If the remainder is left, then divide the first divisor by remainder.

If the remainder divides the first divisor completely, then it is the HCF or highest common factor of the given two numbers.

Step-by-step explanation:

I hope this helps you! <3 XoXoGoldenMaknae

Answer:

Measure of angle VWU=48°

Measure of angle SUT= 87°

Two pairs of vertical angles: SUT & VUW, VUS & WUT

Answer:

Measure of angle VUW=48° Measure of angle SUT= 87° Two pairs of vertical angles: SUT & VUW, VUS & WUT

Step-by-step explanation:

tnx for pionts

Answer: 5%

Step-by-step explanation: