Alonzo and Mitra wanted to share a pizza. Mitra ate of the pizza, and Alonzo ate of the pizza.
How much more pizza did Alonzo eat than Mitra?

Answer:

2⁵

Step-by-step explanation:

Given:

Number 96

Computation:

96 = 2 x 2 x 2 x 2 x 2 x 3

96 = 2⁵ x 3  

So, Number 2 repeat 5 times

Answer:

two numbers are 37 and 20

Step-by-step explanation:

x+y=57

let x be the smaller number

y=x+17

x + x+17=57

2x=57-17

2x=40

x=20

y=x +17

y=20+17

y=37

Answer:

x = 0

Step-by-step explanation:

-x/3 + 7 = -2x + 7

Subtract 7 from both sides.

-x/3 = -2x

Add 2x to both sides.

5/3x = 0

x = 0

The given shape of the distribution is not symmetric.

Given that, a box plot shows donations in dollars to charity.

We need to describe the shape of the distribution.

Donations to Charity ($) =

20 40 60 80 100 120 140 160 180 200 220

so, as we can see,

The shape of the distribution is not symmetric since the lengths of each box and whisker are not the same. There is an outlier at 220.

Hence, the given shape of the distribution is not symmetric.

Learn more about box plot click;

https://brainly.com/question/1523909

#SPJ1

Answer:

If u add probabilities of all possible outcomes that should be one, because classical definition of probability is number of possible out comes divided by total number of outcomes. When you add all probabilities numerator and denominator are equal so answer is one.

Answer:

The total probability of a set of related events sums up to 1 because the probability of each individual event in the set is a fraction of the whole. For example, suppose you flip a fair coin a large number of times.

Answer:

4

Step-by-step explanation:

C1= 2π*8= 16π

C2= 2π*2= 4π

C1/C2= 16π/4π= 4

Answer:

4

Step-by-step explanation:

The circumference is pi*d.

pi*16/pi*4

Cancel pi.

16/4

= 4

Answer:

(1,2)

(-1,2)

(1,-2)

(-1,-2)

Answer:

See below.

Step-by-step explanation:

  Statements:                                              Reasons:

1) \(\angle 2\cong\angle 3\)                                                    Given

2) \(m\angle2=m\angle 3\)                                             Definition of Congruence

3) \(\angle 1\text{ and } \angle 2\text{ form a linear pair}\)                   Given

4) \(\angle 1 \text{ and } \angle 2\text{ are supplementary}\)                  Supplement Theorem

5) \(m\angle 1+m\angle 2=180^\circ\)                                 Definition of Supplementary Angles

6) \(m\angle 1+m\angle 3=180&^\circ\)                                 Substitution

7) \(\angle 1\text{ and } \angle 3 \text{ are supplementary}\)                 Definition of Supplementary

And we're done!

Answer:

the answer to this is a negative association.

To ensure that there is an equal number of glass bears in each group, Mrs. Dryson constructed a total of 17 groups, which can be calculated using arithmetic operations.

What is arithmetic operations?

The study and application of numbers in all other fields of mathematics are covered in the area of mathematics known as arithmetic operations. Addition, subtraction, multiplication, and division are included in the basic operations.

As given in the question,

Mrs. Dryson divided her collection of 52 glass bears into equal groups and She had one bear left over

The steps listed below can be used to calculate the total amount of Mrs. Dryson's products:

Step 1: Arithmetic operations can be utilized to calculate Mrs. Dryson's overall output.

Step 2: Keep in mind that there are 52 glass bears in all, and after separating them into equal groups, she was left with just one bear.

Step 3 - The total bear population to divide into groups of an equal number is calculated as follows:

= 52 - 1 = 51

Step 4: The number that is divided by 51 such that the result is an integer is 3.

Step 5 - As a result, Mrs. Dryson created a total of the following groups:

= 51/3 = 17.

To know more about arithmetic operations, go to link

https://brainly.com/question/4721701

#SPJ1

The answer to this Question based on website is

What is website?

It is form of storage of information in well ordered way

Solution:

As we know she earns 0.75$ per set she sells in her website

and she sold 8 sets

hence total money he could earned = 8*0.75 = $6

but she made only = 2.25$ because remaining money she paid as website fee which was 6 - 2.25 = 3.75$

hence each week she has to pay 3.75$ as website fee so we can calculate his profit equation as follows

profit = 0.75x - n/7(3.75)

where x is no of sets sold on website and n is number of weeks in which these sets were sold

To learn more about website:

https://brainly.com/question/29777063

#SPJ4

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

To learn more about line plot

https://brainly.com/question/16321364

#SPJ8

Given:

The polynomial are:

\(ax^3-3x^2+4\)

\(2x^3-5x+a\)

If the above polynomial divided by (x-2) then they leave remainder p and q respectively.

\(p-2q=4\)

To find:

The value of a.

Solution:

According to the remainder theorem, if a polynomial f(x) is divided by (x-c), then the remainder is f(c).

If the polynomial \(ax^3-3x^2+4\) is divided by (x-2), then the remainder is p. So.

\(a(2)^3-3(2)^2+4=p\)

\(8a-12+4=p\)

\(8a-8=p\)

If the polynomial \(2x^3-5x+a\) is divided by (x-2), then the remainder is q. So.

\(2(2)^3-5(2)+a=q\)

\(16-10+a=q\)

\(6+a=q\)

It is given that,

\(p-2q=4\)

\((8a-8)-2(6+a)=4\)

\(8a-8-12-2a=4\)

\(6a-20=4\)

Add 20 on both sides.

\(6a=4+20\)

\(6a=24\)

\(a=\dfrac{24}{6}\)

\(a=4\)

Therefore, the value of a is 4.

A. \(3x-2x+0.5x=1.5x\), so the expressions are equivalent.

B. \(3(x+4)-2(x+4)=x+4\), so the expressions are not equivalent. To make the expressions equivalent, add 1 to expression B.

C. \(6(x+4)-2(x+5)=6x+24-2x-10=4x+14=2(2x+7)\), so the expressions are equivalent.

D. \(3(x+4)-2(x+4)+0.5(x+4)=1.5(x+4)\), so the expressions are not equivalent. To make the expressions equivalent, multiply expression B by (x+4).

according to question,

given data.

h(x)=8x-3/4+5

then,

Answer:

49

Step-by-step explanation:

First multiply 3 x 5.Which will give you 15.Then add 34 and 15 which will give you 49.

Answer:

49

Step-by-step explanation:

3 x 5 = 15

15+34 = 49

The answer will be $32,893.43 compound interest will the money earn in 60 days.

What is compound interest?

The interest on savings that is computed on both the initial principal and the interest accrued over time is known as compound interest. Compound interest is computed by multiplying the starting principal amount by one and the annual interest rate raised to the number of compound periods minus one. The final step is to deduct the initial loan principal from the calculated value.

When the amount compounds quarterly, it means that the amount compounds 2 times, n=12. We use this fact to derive the quarterly compound interest formula. Thus, the quarterly compound interest formula is:

A = P (1 + r/12)^12t

A = 1260(1+5.5/12) ^12

A = $32,893.43

Hence the interest will be $32,893.43.

Learn more about compound interest, by the following link

https://brainly.com/question/24274034

#SPJ1

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Answer:

X = 0, x = -3

Step-by-step explanation:

You have to cancel everything and -3 =3 is 0 and that would make the entire right side zero. If you have x as 0 the first 0 will multiply with everything making everything zero.

\(\text{Find the value of the x's}\\\\x(x+3)(x+3)=0\\\\\text{We know that the x outside of the parenthesis would equal 0}\\\\\text{In order to find the value of the other x's, we must solve by equaling}\\\text{them to 0}\\\\x+3=0\\\\\text{Subtract 3 from both sides}\\\\x=-3\\\\\text{Since there are two of them, you would have two answers as -3}\\\\\boxed{\text{x = 0, or x = -3, or x = -3}}\)

Answer: Congruent by AAS

Step-by-step explanation:

FG and EH are congruent because they are given.

EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.

Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.

Angle EIH and Angle FIG are congruent because of the vertical angles theorem.

Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.

1. high

2. high

3.diff

4.low.

5.high

The general rule of division in the complex set is,

\(\frac{a}{b}=\dfrac{a\bar{b}}{b\bar{b}}; a,b\in\mathbb{C}\).

If \(b=c+di\) than \(\bar{b}=c-di\) this is called complex conjugate of a complex number.

We have,

\(a=2-7i\)

\(b=-2+5i\)

The complex conjugate of b is \(\bar{b}=-2-5i\).

Now perform the algebra,

\(\dfrac{(2-7i)(-2-5i)}{(-2+5i)(-2-5i)}=\dfrac{-4-10i-14i+35i^2}{4+10i-10i-25i^2}\)

\(=\dfrac{-4-24i-35}{4+25}=\boxed{\dfrac{-39-24i}{29}}\)

In complex form that is,

\(-\dfrac{39}{29}-\dfrac{24}{29}i\)

Hope this helps :)

Answer:

eight into eight

Step-by-step explanation:

Eight into Eight equals to 64

A, B, and C are all true equations. D and E are not true equations.

An equation is a mathematical expression that uses symbols, such as numbers and variables, to represent a relationship between two or more values or quantities. Equations are used to describe physical laws, solve problems and to make predictions. Equations are fundamental to all areas of mathematics and science, and their use is essential for understanding.

A. 3 4 − 1 2 = 1 4
B. 9 16 − 4 8 = 5 8
C. 7 8 − 3 4 = 1 8
E. 1 2 − 1 20 = 10 20

To know more equation click-
https://brainly.com/question/26408808
#SPJ1

Answer:

a. 1,323,002

Step-by-step explanation:

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

Learn more about sinusoid function click;

https://brainly.com/question/21008165

#SPJ1