Kristen recorded the amount of liquid (in ml) of eight containers. She created a box plot of her data. What is the interquartile range
of Kristen's data?

A: 7
B: 13
C:31
D:50

Answer: 20

Step-by-step explanation:

19.64851 to 2s.f

To 2 significant figures

Looking at the digit behind the decimal

It is 6,meaning it is more than 5

So you round up to 1 and add to the digit in front

=20

Answer:

43.98

Step-by-step explanation:

pier2

Answer:

You should evaluate whatever is in the parenthesis first.

By standardization of algebra, we can say that the statement is true, you should evaluate the parentheses at the beginning.

In general problems, we usually use parentheses to separate larger problems in smaller ones. The benefit of doing this is that we can tackle these smaller problems one by one instead of a larger problem all at once.

Whit this in mind, when an expression has several sets of parentheses, the first thing that you need to do is simplify them by evaluating them, so yes, the statement is correct.

If you want to learn more about algebra, you can read:

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Answer:

Option A, 13p

Step-by-step explanation:

Step 1:  Simplify

[tex]p + 7p + 5p[/tex]

[tex](p + 7p) + 5p[/tex]

[tex]8p + 5p[/tex]

[tex]13p[/tex]

Answer: Option A, 13p

Answer:

(-8,8)

Step-by-step explanation:

Given:

Deposit (P) = £2000

Rate of interest (r) = 3%

Time (t)= 2 years

Number of time interest calculated per year (n) = 1

To find:

Amount in the account after 2 years

Solution:

Compound interest formula:

[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}[/tex]

Substitute the given values.

[tex]$A=2000\left(1+\frac{3\%}{1}\right)^{1\times 2}[/tex]

To convert percentage into fraction divide by 100.

[tex]$A=2000\left(1+\frac{\frac{3}{100} }{1}\right)^{1\times 2}[/tex]

[tex]$A=2000\left(1+\frac{0.03 }{1}\right)^{ 2}[/tex]

[tex]$A=2000\left(1+0.03\right)^{ 2}[/tex]

[tex]$A=2000\left(1.03 }\right)^{ 2}[/tex]

[tex]$A=2121.8[/tex]

Therefore, £2121.8 will be in the account after 2 years.

Answer:

2 1/2

You didnt give us any option or choices

Step-by-step explanation:

I would like to help but there is no choices

Answer:

X=5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D, because it has infinite solutions, or both sides simplify down to 0.

Hope this helps!

Answer:

29.95 + 3.99x

Step-by-step explanation:

she bought one purse and x number of belts for 3.99

Answer:

29.95+3.99x

Step-by-step explanation:

Answer:

I think

19 has no factors other than 1 and itself

Answer:

122

Step-by-step explanation:

a^2 + b^2 = c^2

(only in right angled triangles)

Answer:

122

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

5+2=7

5-2=3

2^5=32

2^2=4

32*4=128

Hope this helps:)

Answer:

you intercept 2 with the 46721

Step-by-step explanation:

2=64=1/4/5_=24

Answer:

1872 gross should Reggie order for a three month supply.

Step-by-step explanation:

Given:

200 guitar picks each week.

To Find:

How many gross should be ordered for three months period

Solution:

Now  the guitar picks corresponds to the  order picks by gross as follows;

given that 200 guitar picks corresponds to 144 gross orders

Now 200 are sold for each weeks i.e 7 days

Now for 3 months there are approximately 13 weeks

so Total sell for 3 months=13*200=2600 guitars

Now The ratio of guitar picks to gross orders is ,

144/200

=1/1.39=0.72

So 2600 guitars corresponds to 2600*(1/1.39)

i.e. 2600/1.39

=1872 Gross orders are required to get three month of supply

Taking the square root of a number means finding a number that when you square it, it equals the number in the square root.

√4 = 2 because 2² = 4

³√4 is already simplified.

Best of Luck!

Answer:

100/963

Step-by-step explanation:

The number 1,2,3,...,999 is written down.

First, we determine the total number of digits written down

Total Number of digits=9+2(90)+3(900) =2889

Number of Digit 7 between 1 and 999

Therefore, the number 7 will be found a total of 300 times between 1 and 999.

Therefore, the probability of selecting a "7"  =  300/2889  

= 100/963

Final answer:

The probability that River chooses a 7 from the numbers 1 to 999 when randomly selecting a digit is approximately 0.111 or 11.1%. This is calculated by dividing the total occurrences of the digit 7 (321 times) by the total number of digits written (2889 digits).

Explanation:

To calculate the probability that River chooses a 7 from the numbers 1 to 999 when randomly selecting a digit, we must first determine the total number of times the digit 7 appears in this range. In numbers 1-9, 7 appears once; in numbers 10-99, it appears 10 times in the units place plus 10 times in the tens place; and in numbers 100-999, it appears 100 times in the units place, 100 times in the tens place, and 100 times in the hundreds place. Therefore, there are a total of 1 + 10 + 10 + 100 + 100 + 100 = 321 occurrences of the digit 7.

Next, we calculate the total number of digits written down from 1 to 999. For numbers 1-9, there are 9 digits. For 10-99, there are 90 numbers times 2 digits each, totaling 180 digits. For 100-999, there are 900 numbers times 3 digits each, totaling 2700 digits. The sum of all digits is 9 + 180 + 2700 = 2889 digits.

The probability that River chooses a 7 is the number of 7s divided by the total number of digits, which is 321/2889. Simplifying this fraction, we get a probability of approximately 0.111 or 11.1%.

Answer:

Increase the number of trials...

Step-by-step explanation:

The number of experiment trials should be increased as to match the predicted frequencies.

Probability is the likeliness of an event to happen.

In probability experiments are performed to determine the probability of a required event.

Mali performed the experiments and found that the observed frequencies did not match the predicted frequencies.

To make the data closer to the predicted values, more number of trials to determine the frequencies should be done.

Your question seems incomplete, the complete question is attached as an image with the answer.

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Answer:

x=-2

Step-by-step explanation:

You can substitute the first equation into the second:

-3x+3=5x+19

Add 3x on both sides:

3=8x+19

Subtract 19 on both sides:

-16=8x

Divide 8 on both sides:

x=-2

Answer:

x = -2

y = 9

Step-by-step explanation:

to evaluate this system of equation we would say that

let

Y=-3x+3................................................. equation 1

Y=5x+19................................................... equation2

substitute equation 2 into equation 1

5x + 19 = -3x + 3

collect the like terms together

5x + 3x = 3 -19

8x = -16

divide both sides by the coefficient of x which is 8

8x/8 = -16/8

x = -2

put x = -8 into equation 1

Y=-3x+3................................................. equation 1

y = -3(-2) + 3

y = 6 + 3

y = 9

therefore the value of x and y is -2 and 9 respectively.

Answer:

720 elk I think (sorry if wrong)

Answer:

4(x + [tex]\frac{1}{2}[/tex] )²

Step-by-step explanation:

Given

h(x) = 4x² + 4x + 1

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² + 4x

h(x) = 4(x² + x) + 1

add/subtract ( half the coefficient of the x- term )² to x² + x

h(x) = 4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1

      = 4(x + [tex]\frac{1}{2}[/tex] )² - 1 + 1

      = 4(x + [tex]\frac{1}{2}[/tex] )²

Answer:

Step-by-step explanation:

4(x+1/2)^2+0

The first box is 4

The second box is 1/2

the third box is 0

Answer:

6

4

3

Step-by-step explanation:

Answer:

Use the graph to identify the amplitude for each function shown.

The amplitude of the function shown in orange is

✔ 6

.

The amplitude of the function shown in blue is

✔ 4

.

The amplitude of the function shown in green is

✔ 3

.

Step-by-step explanation:

This from my answers.

Answer:

C, I believe?

Step-by-step explanation:

Yep, sure. Which question?

Answer:

x^3 is the greatest common factor of x4 and x3

Step-by-step explanation:

The greatest number that is a factor of two (or more) other numbers. When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Abbreviated "GCF". Also called "Highest Common Factor"

Answer:

Explanation:

1. Quantiy R

Decay model:

       [tex]\dfrac{dR}{dt}=-0.05R[/tex]

That is a first order reaction, whose solution is:

        [tex]R=R_0e^{-0.05t}[/tex]

The value at t = 0, R(0) = 100 is R₀.

Thus, the law is:

        [tex]R(t)=100e^{-0.05t}[/tex]

2. Quantity S

Decay model:

       [tex]\dfrac{dS}{dt}=-4[/tex]

That is a zero order kinetic, whose solution is:

       [tex]S=S_0-4t[/tex]

The value at t = 0, S(0) = 125 is S₀

Thus, the law is:

      [tex]S(t)=125-4t[/tex]

3. At what time will there ve equal quantities of both substances?

You must solve the system doing R(t) = S(t)

      [tex]100e^{-0.05t}=125-4t[/tex]

That equation must be solved by graphing or by consecutive iterations

Note that when t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.

Subsitute with t = 10.

Then, the time is greater than 10.

Substitute with t = 15

t = 20

t = 25

t = 24

Hence, 24 seconds is a satisfactory solution.

The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.

At t= 24 , in seconds, will there be equal quantities of both substances.

Given that,

The quantity R, in grams, of a certain radioactive substance decreases, according to the exponential decay model dR\dt=−0.05R, Where t is measured in seconds

The rate of decay of a second substance with the quantity S, in grams, can be represented by a linear model dS\dt=−4,

Where t is measured in seconds. If at time t=0, R(0)=100 and S(0)=125.

We have to determine,

At what time t, in seconds, will there be equal quantities of both substances.

According to the question,

Exponential decay model,

[tex]\dfrac{dR}{dt} = 0.05R[/tex]

The solution of first order reaction,

[tex]R = R_o.e^{0.05t}[/tex]

Substitute the value t = 0 ,R(0)= 100,

Then,

[tex]R(t) = 100.e^{0.05t}[/tex]

The decay model,

[tex]\frac{dS}{dt} = -4[/tex]

That is a zero order kinetic, whose solution is:

[tex]S= S_0-4t[/tex]

The value at t = 0, S(0) = 125 is S₀,

Therefore,

[tex]S(t) = 125-4t[/tex]

At what time will there +ve equal quantities of both substances,

Solve the system doing R(t) = S(t),

[tex]100.e^{-0.05t} = 125-4t[/tex]

The equation must be solved by graphing or by consecutive iterations

When t = 0 R(t) = 100 and S(t) = 125. From, that the quantities decreases.

Substitute with t = 10.

The left-hand side yields: 61 and the right-hand side yields 85.

Then, the time is greater than 10.

Substitute with t = 15

Left hand side = 47

Right-hand side = 65

t = 20

Left-hand side = 37

45

t = 25

Left-hand side = 29

Right-hand side =25

t = 24

Left-hand side =3 0

Right hand side = 29

Hence, 24 seconds is a satisfactory solution.

The graph attached shows that the intersection point is at t ≈ 23.548 seconds, confirming that 24 seconds is the best solution rounded to an integer number.

Hence, At t= 24 , in seconds, will there be equal quantities of both substances.

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