A fair number cube is numbered 1 through 6.
Tamara rolled the cube 20 times, and the number 6 was the result 7 times.
She concludes that if she rolled the cube 100 times, the number 6 would be the result 35 times.
Is Tamara's conclusion reasonable? Explain your answer.​

Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Answer:

34 652 is the number.Know find the ten place which is the (5).

The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

Learn more about Quadratic Functions here :

https://brainly.com/question/18958913

#SPJ1

The correct statement is that the painting width to length ratio are equal because the ratio 8to 12!is equal to the ratio 2 to 3

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

The first canvass has a ratio width to length 8:12

= 2:3 = 2/3

The second canvass has a ratio width to length 2/3

Therefore the ratio of width to length of the paintings are equal

8/12 = 2/3

learn more about ratio from

https://brainly.com/question/2328454

#SPJ1

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

Answer:

option 3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

The equation of the word sentence, "5 is one-fourth of a number c" is: 5 = 1/4c.

To write a word sentence as an equation, you need to identify the variables and the operations being described in the sentence, and then use mathematical symbols to represent them.

For example, we are given the sentence "5 is one-fourth of a number c,", in this case, the variable is "c" and the operation is "one-fourth of," which is represented by the fraction 1/4 or the multiplication by 1/4.

Therefore, the equation would be:

5 = 1/4c.

Learn more about word sentence as an equation on:

https://brainly.com/question/23384508

#SPJ1

Answer:*

Step-by-step explanation:

Answer:

KL = 7, so B is the correct answer.

Answer: To find the probability that a person chosen at random has a median lifetime income between 1 to 2 standard deviations below the mean, we need to calculate the area under the normal distribution curve within that range.

First, let's define the variables:

μ = Mean lifetime income = $25800

σ = Standard deviation = $14000

We want to find the probability of having a median lifetime income between 1 to 2 standard deviations below the mean.

1 standard deviation below the mean would be μ - σ, and 2 standard deviations below the mean would be μ - 2σ.

μ - σ = $25800 - $14000 = $11800

μ - 2σ = $25800 - 2 * $14000 = $-2200

Next, we need to find the z-scores for these values. The z-score represents the number of standard deviations a given value is from the mean in a standard normal distribution.

For μ - σ:

z1 = (11800 - μ) / σ = (11800 - 25800) / 14000 ≈ -1.5714

For μ - 2σ:

z2 = (-2200 - μ) / σ = (-2200 - 25800) / 14000 ≈ -2.2857

Using a standard normal distribution table or a statistical software, we can find the corresponding probabilities associated with these z-scores.

The probability of having a median lifetime income between 1 to 2 standard deviations below the mean is the difference between the probabilities corresponding to z1 and z2.

P(1 to 2 standard deviations below the mean) = P(z1 < Z < z2)

You can refer to a standard normal distribution table or use statistical software (such as Excel, R, or Python) to calculate the probabilities. The exact values may vary depending on the specific table or software used.

Answer:

boo just search the formula dud

its A though

Answer:

$2142.86

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

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

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

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

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = $2142.86 (nearest cent)

Answer:

{12}

Step-by-step explanation:

I may be wrong but I believe any answer would be the number given and if its negative just make it positive :/ sorry I tried

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

Find out more about regression equation

brainly.com/question/22077082

#SPJ4

The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ1

Answer:

7/15

Step-by-step explanation:

3 + 4 / 3 * 5

7 / 15

Answer:

[See Below]

Step-by-step explanation:

\(Hey~There!\)

_____________________

➜ First we have to turn to into a proper equation:

➜ Now we solve the two parts:

➜ Then we can divide:

_____________________

So your answer would be:

_____________________

\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ

Answer:12

Step-by-step explanation:

The prime factorization of 84 is 2×2×3×7 . The prime factorization of 48 is 2×2×2×2×3 . . Therefore, the GCF is 2×2×3=12

The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 1 ⁵/₆ - 3/4

Convert the mixed fraction number into a fraction number. Then we have

⇒ 1 ⁵/₆ - 3/4

⇒ 11/6 - 3/4

⇒ (22 - 9) / 12

⇒ 13 / 12

The mixed fraction and fraction expression  1 ⁵/₆ - 3/4 in the simplest form will be 13/12.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

Step-by-step explanation:

It's given that, The base of a triangle is 1 cm more than the height

Let's assume height of the triangle be x and base of the triangle be 1 + x

Also the area of the triangle is 10 cm².

We know that area of triangle is calculated by,

Putting the values we get ,

\( \frac{1}{2} (1 + x) x = 10 \\ \\ (1 + x)x = 10 \times 2 \\ \\ {x}^{2} + x = 20 \\ \\ {x}^{2} + x - 20 = 0\)

Further solving by factorisation,

\(x^2 + x-20 = 0 \\ \\ x^2 +5x-4x - 20 = 0 \\ \\ x(x+5)-4(x+5)= 0 \\ \\ (x-4) (x+5) = 0 \\ \\ (x-4) = 0 \: or \: (x+5)=0 \\ \\ { \underline{x= 4 \: or \: x = 5 }}\)

Since value can't be negative.

So, x = 4.

Hence, height of triangle x = 4 cm

base of triangle = x + 1

= 4 + 1

= 5 cm

Therefore the Base of traingle will be 5 cm and Height of the triangle will be 4 cm.

\( \\ \)

\( \\ \)

\( \\ \)

\( \\ \)

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

\( \\ \\ \)

Simplifying 1 equation:-

Put this value of y in second equation.

\( \\ \)

\( \dashrightarrow \sf \: x+2y=8\)

\( \\ \)

\( \dashrightarrow \sf \: x+2(x + 1)=8\)

\( \\ \)

\( \dashrightarrow \sf \: x+2x +2=8\)

\( \\ \\ \)

\( \dashrightarrow \sf \: 3x +2=8\)

\( \\ \\ \)

\( \dashrightarrow \sf \: 3x=8 - 2\)

\( \\ \\ \)

\( \dashrightarrow \sf \: 3x=6\)

\( \\ \\ \)

\( \dashrightarrow \sf \: x=6 \div 3\)

\( \\ \\ \)

\( \dashrightarrow \sf \: x= \bf2\)

\( \\ \)

to find value of y :-

y = x + 1

y = 2 + 1

y = 3

\( \\ \)

verification:-

\( \\ \)

1 equation:-

x = y - 1

put value of x and y

2 = 3 - 1

2 = 2

LHS = RHS

Hence verified!

\( \\ \)

2 equation:-

\( \\ \)

put value of x and y

LHS = RHS

Hence verified!

\( \\ \)

Both equation verified!

.°. value of x and y is 2 and 3 respectively

Answer:

a and b are and C is not. b is called an exponential function and a is another function that I forgot the name of.

Answer:

Step-by-step explanation:

This is verified with a vertical line test.

If a graph of a function is intersected by a vertical line at more than one point, it is not a function. This comes from the definition of a function.

We can see that the graphs a and c pass the vertical line test but the graph b fails, since at any positive x, the vertical line has two - y coordinates per each x- coordinate.

The key features of this exponential function include the following:

Growth

Asymptote: y = 0.

y-intercept: (0, 1/2).

Domain: All real numbers or (-∞, ∞).

Range = {y|y ≥ 0}.

In Mathematics, an exponential function is typically represented by the following mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the given exponential function \(y = \frac{1}{2} (6)^x\), we can logically deduce that the y-intercept is represented by a, which is equal to 1/2 while b is the growth rate because it is greater than 1.

In conclusion, there is a horizontal asymptote at y = 0 because it is a line which the graph of a given function approaches, but never touches or crosses.

Read more on exponential equation here: brainly.com/question/28939171

#SPJ1

The value of x equals quantity of (3 ± √23)/2.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation;

  x² - 3x = -8

    x² - 3x + 8 = 0

 x² - 2 X 3/2 x + 8 = 0

 x² - 2.3/2 x + (3/2)² - (3/2)² + 8 = 0

 (x - 3/2)² - 9/4 + 8 = 0

 (x - 3/2)² + 23/4 = 0

  (x - 1.5)² = -5.75

  x - 1.5 = ±√(-5.75)

 x = 1.5 ± i√(5.75)

  x = (3 ± i√21)/2

Thus, x equals quantity of 3 plus or minus I square root of 23 all over 2.

Learn more about Quadratic equation from:

https://brainly.com/question/14336752

#SPJ1

Answer:

$ 3.34

Step-by-step explanation:

3.50 * 1.06    cost at end of April    then find 90% of this to find end of May

3.50 * 1.06    * .9 = $ 3.34

Answer:

Step-by-step explanation:

∫(cos(1/x)/x² dx

\(put~\frac{1}{x} =t\\diff.\\\frac{-1}{x^2} dx=dt\\\int(- cos~t~)dt=-sin~t+c\\=-sin (\frac{1}{x} )+c\)

Answer:

Nina is wearing purple shirt.

Step-by-step explanation:

From the given information:

Mindy and Nina are one after another.

Tyrone is standing next to Jack who is wearing Green.

Now, between Tyrone and Nina, there are exactly two persons.

Combination of Tyrone and Nina can be either in the first four positions or last four positions as they have persons in between.

From the observation, Tyrone can be at the last position and Jake will be ahead of him. This is because Jake is ahead of Tyrone and he is wearing green and if Tyrone is at the second position then, there is no place for Jake as the first person is wearing orange.

So, at the fourth and fifth position, Jack and Tyrone are present.

Now, Nina must be at 2ns position because between Tyrone and Nina there should be 2 persons.

Amy can never be at 1st or last and hence, she will be at the 3rd position.

So, in first position Mandy will be present.

Now, 2nd or 4th person could wear purple, but in 4th position Jake is present who is wearing green

Thus, Nina at the second position should be wearing purple.

Fore more details, refer the link:

https://brainly.com/question/16679200?referrer=searchResults