{(23,4),(-3,8),(-25,-21),(20,13),(21,-14)} what is the domain and range ​

The correct statement is: "The IQR is the best measure of variability, and it equals 11."

To calculate the IQR, we first need to find the first quartile (Q1) and the third quartile (Q3). Here is the data in ascending order:

17, 19, 21, 25, 29, 30, 31, 32, 46, 49

The median (or Q2) divides the dataset into two halves. Since there are 10 data points, the median is the average of the 5th and 6th data points:

(29 + 30) / 2 = 29.5

Now, we find Q1, which is the median of the lower half of the data:

17, 19, 21, 25, 29

Q1 = 21 (the middle value)

Next, we find Q3, which is the median of the upper half of the data:

30, 31, 32, 46, 49

Q3 = 32 (the middle value)

Finally, we calculate the IQR:

IQR = Q3 - Q1 = 32 - 21 = 11

Therefore, the correct statement is: "The IQR is the best measure of variability, and it equals 11."

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Answer:

Angle R is an Angle

Step-by-step explanation:

This question has no photo or context

Answer:

Step-by-step explanation:

1. 8

2. 56

3. 45

Answer:

slope = -1/2

Y-intercept = (0,2)

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

In algebra, to avoid confusing the multiply sign and x, we always just put the terms next to each other to show that they multiply each other. Here, since x is unknown, we can't find a specific answer and therefore just write it as 4x, which means 4 times x.

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

It should be noted that Maya says 10-5 is the same as (-10)5. This is incorrect. They have to do with subtraction and multiplication. Therefore, they're different.

It should be noted that the information given simply has to do with the problem of subtraction and multiplication of numbers.

Based on the information given, it should be noted that Maya says 10-5 is the same as (-10)5.

It should be noted that 10 - 5 = 5

It should be noted that (-10)5 = -10 × 5 = -50

Therefore, it should be noted that Maya says 10-5 is the same as (-10)5. This is incorrect. They have to do with subtraction and multiplication. Therefore, they're different.

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Answer:

The change in temperature per minute for the sample, dT/dt is 71.\(\overline {6}\) °C/min

Step-by-step explanation:

The given parameters of the question are;

The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)

The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min

Given that both dQ/dT and dQ/dt are known, we have;

\(\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)\)

\(\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)\)

Therefore, we get;

\(\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}\)

\(\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C } = 71.\overline 6 \, ^{\circ } C/min\)

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

\(\dfrac{dT}{dt} = 71.\overline 6 \, ^{\circ } C/min\)

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

( Where is says “ Use the answers to the problems above to help solve some of those below “ I cannot see the left side. Therefore, I cannot help you there )

3/4 of 32=24

74x32=2368

1/4 of 33=8.25

74x33=2442

0.75x32=24

76x32=2432

0.75x33=24.75

76x33=2508

75x32=2400

0.76x32=24.32

75x33=2475

0.76x33=25.08

24x96=2304

75x37=2775

0.74x32=23.68

76x112=8512

Step-by-step explanation:

Answer:

Let

the breadth =x

the length =6x

As we know that in a rectangle

\({\boxed{\sf Area=lb}}\)

\({:}\longrightarrow\)\(\sf x\times 6x=160 \)

\({:}\longrightarrow\)\(\sf 6x^2=160\)

\({:}\longrightarrow\)\(\sf x^2={\dfrac {160}{6}}\)

\({:}\longrightarrow\)\(\sf x^2=26.6 \)

\({:}\longrightarrow\)\(\sf x=\sqrt {26.6}\)

\({:}\longrightarrow\)\(\sf x=5.1yards\)

Answer:

L.H.S. = \(\frac{1}{cosx} -\frac{sinx}{cosx}sinx\)

= \(\frac{1}{cosx} - \frac{sin^2x}{cosx}\)

= \(\frac{1-sin^x}{cosx} = \frac{cos^2x}{cos x}\)

= cos x = 1/secx

Step-by-step explanation:

Hey there!

Given;

sec x - tan x . sin x = 1/(sec x).

~ Taking LHS.

= sec x - tan x . sin x

= 1/(cos x) - (sin x/cos x) . sin x { Using formula sec x = 1/cos x and tan x = (sin x/cos x)}

~ Multiply (sin x) and (sin x).

\( = \frac{1 - { (\sin(x) )}^{2} }{ \cos(x) } \)

~ Use formula 1-sin²x= cos²x

\( = \frac{ {cos}^{2} x}{ \cos(x) } \)

~ Cancel cos x.

= cos x

= 1/sec x { cos x = 1/sec x}

→ RHS proved.

Hope it helps.....

The final score of Michelle is  83 points  .

In the question ,

it is given that ,

the grades given for correct answer by the teacher is = 5 points

the points given by teacher for no answer = 0 points

the points deducted for wrong answer is = 2 points

So , Michelle answered 17 questions correctly , the score is

= 17 * 5 = 85

left 3 answer so , she got 0 points ,

she marked 5 answers ,

So , the points deducted = 5*(-2) = -10

= 85 - 10 = 75 points

she also get 8 out of 10 points , that means

final score = 75 + 8 = 83 points

Therefore , The final score of Michelle is  83 points  .

The given question is  incomplete , the complete question is

A teacher wanted to prevent students from guessing answer on a multiple choice test. The teacher graded 5 points for a Correct Answer. 0 points for No Answer and -2 points for Wrong Answer ,  Michelle answered 17 questions correctly , left 3 blank and 5 wrong answers she also got 8 out of 10 possible points for extra credit . What was her final score ?

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Answer:

  y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}

Step-by-step explanation:

You want y = 1/2|x -6| +4 written as a piecewise function.

The absolute value function changes its definition when its argument is negative:

  y = |x|   ⇒   y = -x for x < 0, and y = x for x ≥ 0

This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.

The argument is negated in this domain, so we have ...

  y = -1/2(x -6) +4

  y = -1/2x +3 +4

  y = -1/2x +7

The absolute value function is an identity function in this domain:

  y = 1/2(x -6) +4

  y = 1/2x -3 +4

  y = 1/2x +1

Combining these descriptions into one, we have ...

  \(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)

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Answer:

nonlinear

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

blue = 1

red = 2

(blue) 100

(red) 200

The fraction in its lowest terms for 7 1/2 percent is 3/40.

To express the mixed number 7 1/2 percent as a fraction in its lowest terms, we need to convert it to a fraction and simplify.

First, we convert the mixed number to an improper fraction:

7 1/2 percent = 7 1/2 / 100

To simplify this fraction, we find the least common multiple (LCM) of the denominator (2) and the percent denominator (100), which is 200.

Now, we can rewrite the fraction with the common denominator:

7 1/2 / 100 = (7 * 2 + 1) / 200 = 15/200

To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 15 and 200 is 5.

15/200 = (15 ÷ 5) / (200 ÷ 5) = 3/40

Therefore, the fraction in its lowest terms for 7 1/2 percent is 3/40.

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Answer: Hello the options related to your question is missing attached below are the missing options.

A.) The probabilities of the RVs may be equal

B.) The sum of the probabilities of the RVs exceed 1

C.) This is an impossible occurrence

D.) The probabilities of the RVs must be equal

E.) None of the above

answer:

The probabilities of the RVs may be equal ( A )

Step-by-step explanation:

Given that the value of the  population mean and the value of probability mass function of a set of random variables are similar

For the Random Variables : 100,200,300,400

The Probability mass function of RV = ( 100 + 200 + 300 + 400 ) / 4

Hence  The probabilities of the RVs may be equal

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

78 stamps

Step-by-step explanation:

50 stamps collected after 3 days

4 stamps added a day

next 7 days added= 7*4= 28 stamps

Total after 10 days= 50+28= 78 stamps

Answer:

b=120

Step-by-step explanation:

Using proportions, it is found that the final price of the new computer monitor is given by:

b. 120

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

It is regularly priced at $200 but it is now on sale for 25% off, hence 75% of $200 is paid, so:

P1 = 0.75 x 200 = 150.

You can also use your 20% off coupon, hence the final price is of 80% of $150, then:

FP = 0.8 x 150 = $120.

Which means that option B is correct.

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Answer:

$8.54÷2 kg = $4.27 for 1 kg of birdseed

Answer:

Step-by-step explanation:

Range of the function is the set of y-values (output values) of the function on the graph.

Domain of the function is the set of x-values (input values) of the function.

Domain of the function : [-5, 4)

(including x = -5 and excluding x = 4)

Range : [-4, 2)

(Including y = -4 and excluding y = 2)

x - intercepts : x = -5, -2, 2

Average rate of change over the interval [0, 2]

= \(\frac{f(2)-f(0)}{2-0}\)

= \(\frac{0-(-4)}{2-0}\) [Since, f(2) = 0, f(0) = -4]

= 2

Right most interval where the graph is positive → [2, 4]

The key feature of a function include the intercepts and intervals of the function

(a) The range

The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.

So, the range is:

\(\mathbf{Range = [-4,2)}\)

(b) The domain

The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.

So, the domain is:

\(\mathbf{Domain = [-5,4)}\)

(c) The x-intercepts

This is the point where the graph crosses the x-axis.

So, we have:

\(\mathbf{x-intercept =-2 \ and\ 2}\)

(d) Average rate of change over [0,2]

From the graph, we have:

f(0) = -4

f(2) = 0

So, the average rate of change (m) is:

\(\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}\)

\(\mathbf{m = \frac{0 - -4}{2 - 0}}\)

\(\mathbf{m = \frac{4}{2}}\)

\(\mathbf{m =2}\)

(d) The right-most interval where the graph is positive

The graph is positive from x = 2 to x = 4.

Hence, the right-most interval where the graph is positive is [2,4]

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Photocopies

Between 800 and 899 are, 3 schools

Between 900 and 999 are, 5 schools

Between 1000 and 1099 are, 8 schools

Between 1100 and 1199. are, 6 schools

Between 1200 and 1299 are, 3 schools

Now order schools by

3,5,8,6,3

Then answer is OPTION C)

Answer:

I can't see the pdf

Step-by-step explanation:

please put the image up

Answer

yes

Step-by-step explanation:

Because yes

Answer:

it is skewed on the left

Step-by-step explanation:

its on usa test prep i got it right

Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

The given equation is 4, \(x^2\)+4x+\(y^2\)-9y=12 as circle with centre (-2, 9/2) and radius sqrt (13).

The given equation is 5, \(x^2\)+18x+\(y^2\)=12  a circle with centre (-9, 0) and radius sqrt (13).

The given equation is 6, \(x^2\)-8x+\(y^2\)-6y = 0 a circle with centre (4, 3) and the radius is 5.

To see this, we can rewrite the equation as \((x+2)^2 + (y-9/2)^2\) = 13. This equation represents a circle with centre (-2, 9/2) and radius sqrt (13).

To see this, we can rewrite the equation as \((x+9)^2 + y^2 = 13\). This equation represents a circle with centre (-9, 0) and radius sqrt (13).

The standard form of the equation of a circle is \((x-h)^2 + (y-k)^2 = r^2\) where (h, k) is the centre of the circle and r is the radius. Therefore, the centre of the circle is (4, 3) and the radius is 5.

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Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.

To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:

0.25 + 0.125 = 0.375

This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:

0.375 x 200 = 75

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The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?