In quantitative literacy

The correct option regarding the mean of X + Y is given as follows:

a. MX+MY.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Hence, when two variables are added, we can add their means, as we add all the observations and divide by the number of observations, considering the two variables.

This means that the correct option is given by option A.

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Answer: See below

Step-by-step explanation:

a) 2 1/3 * 1 1/2

= 7/3 * 3/2

= 21/6

= 7/2

b) 5.4 * 2 3/4 --> (5.4 = 54/10 = 27/5)

= 27/5 * 11/4

=297/20

c) 3.1*2.7

= 8.37

= 8.37 = 837/100 = 8 37/100

Answer:

A) \(3\frac{1}{2}\)

B) 14.85

C) 8.37

Step-by-step explanation:

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Step-by-step explanation:

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.

This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.

In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.

Answer: 32

add the length of all four sides.

So, 6cm + 6cm + 10cm + 10cm.

GL!

Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

\(x = - 5\)

\(y = 3\)

_________________________________

\( {x}^{2} \times y = ({ - 5})^{2} \times 3 = 25 \times 3 = 75 \\ \)

Done♥️♥️♥️♥️♥️

Answer:4

Step-by-step explanation:

2+2 is 4

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x² - 20x + 98 = 0

Step 02:

ax² + bx + c = 0

a = 1

b = -20

c = 98

x1:

x2:

The solution is:

Answer:

Step-by-step explanation:

The following is the information provided

number of students is 5

The number of math major = 3

The number of statistic major = 2

Label math students as A, B, C

And statistic students as D, E

The total number of ways to select two students from 5 students is 10

The sample space is S = {AB,AC,BC,AD,AE,BD,BE,CD,CE,DE}

Yes , in the sample space the events are equally alike

What is the probability that both selected students are statistics majors

The selected students of statistic major are DE

the probability that both selected students are statistics majors is \(\frac{1}{10}\)

= 1/10

What is the probability that both students are math majors

The selected students of statistic major are AC,AB,BC

the probability that both selected students are math majors is \(\frac{3}{10}\)

= 3/10

What is the probability that at least one of the students selected is a statistics major

Number of ways to select at least one of the students selected is a statistic major is {AD,AE,BD,BE,CD,CE,DE}

the probability that at least one of the students selected is a statistics major is \(\frac{7}{10}\)

7/10

What is the probability that the selected students have different majors

Number of ways to select students with different major is  {AD,AE,BD,BE,CD,CE,}

the probability that the selected students have different majors is \(\frac{6}{10}\)

6/10

Answer:

answer is sister's.

Step-by-step explanation:

sisters mean more than one sister.

sisterses isn't a word.

sisters' also isn't a word.

sister's is a word and it means that she has possession of something or that she owns something.

so, we know the diameter is 8, so that means its radius is half that, or 4.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=4\\ \theta =45 \end{cases}\implies A=\cfrac{(45)\pi (4)^2}{360}\implies A=2\pi ~ft^2\)

The Commutative property can be used to rewrite 2a + (10 - 4)

This law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.

The commutative property is satisfied not only in addition but also in multiplication. It is given by:

a + b = b + a

a * b = b * a

2a + (10 - 4) = 2a + 6

2a + 6 = 6 + 2a

The Commutative property can be used to rewrite 2a + (10 - 4)

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The linear equation that can be given for squirrel y is the value of 12x.

According to the question,

Animal            Mouse       Squirrel

Speed(mph)         8                12

SInce "x" the time goes along with x-axis and "y" is  the distance covered by the animal.

The mouse time and distance would plot the graph (1,8)(2,16)(3,24)....

The squirrel time and distance would plot the graph (1,12)(2,24)(3,36)....

Let us consider the track is a straight line and the shorter distance is 50 meters.

The formula for straight line equation y = mx + b  where 'b' is the base value, 'x' is the time and 'y' is the distance.

The linear equation for squirrel y = 12x+b and the squirrel starts at 0 meters per hour. so the equation becomes y = 12x.

The linear equation for mouse y = 8x + b  and the mouse starts at 0 meters.  so the equation becomes y = 8x.

Distance covered by the mouse and the squirrel at time x = 3 we can find the distance covered by the mouse and the squirrel.

y =12x

y = 12(3)

y = 36.

The distance covered by the squirrel is 36km at time 3hours.

For mouse, at time x = 3 hours.

y = 8(3)

y=24.

The distance covered by the squirrel is 24km at time 3hours.

Hence, The linear equation for squirrel y = 12x.

The linear equation for mouse  y = 8x

The distance covered by the squirrel is 36km at time 3hours.

The distance covered by the squirrel is 24km at time 3hours.

Thus:

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Answer:

I think A, but if not I am soooooo sorry

C. 8

8/3 = g/3

, x3 both side

8/3 x 3 = g

8/3 x 3/1 = g

24/ 3 = g

8 = g

Hope this helps!

Answer:

5

Step-by-step explanation:

this is easy

Answer:

2

Step-by-step explanation:

The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

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Loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

When energy moves through a medium (such as air, water, or any other liquid or solid matter), it creates a pattern of disturbance known as a sound wave that propagates away from the sound source.

When an object vibrates, sound waves are produced that are similar to pressure waves, like when a phone rings.

Pitch, intensity, and timbre are three key components of the field of sound psychology or psychoacoustics. People can distinguish the harmonics of a complex periodic sound wave under certain conditions thanks to the way that humans perceive sound and music.

Thus, loudness, pitch, and timbre are the three psychological aspects of sound that are influenced by the physical properties of sound waves.

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Answer:

125

Step-by-step explanation:

We know that the side length is 5, and the formula for the volume of a cube is the side length cubed. Therefore, 5 cubed is equal to the volume.

A value cubed is equal to a value multiplied by itself twice. Therefore, 5 cubed is equal to 5 * 5 * 5. This is equal to 125

Answer:

125

Step-by-step explanation:

Answer:

0.000048..............

Answer:

0.00004822

Step-by-step explanation:

12^7= 35,831,808

12^3= 1728

Answer:

5km

Step-by-step explanation:

A - her office

E - her home

AB = 1km; BC = CE = 4km

AE - the shortest disctance between her office and home.

ADE - right triangle, where AD = 4km, ED = 3 (EC - CD) =>

According to the Pythagorean theorem , we make up the equation:

AE = √ED^2 + AD^2 = √25 = 5km

Answer:

6

Step-by-step explanation:

3x12 = 36

(4+2)    6

simplify

36/6=6

The value is indeed 6 and there shouldn't be a variable because if there is, then there should be a variable in the question.

The simplified form of the expression (3 × 12)/(4 + 2) is 6.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, An expression (3 × 12)/(4 + 2).

Now, 12×3 is 36, and (4 + 2) is 6.

Therefore the simplified form of the expression is,

= 36/6.

Now, we know that 6 times 6 is 36 so, 36 divided by 6 the quotient should be 6.

Therefore,

36/6.

= 6.

So, The value of the expression  (3 × 12)/(4 + 2) is 6.

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Answer:

72

Step-by-step explanation:

156 ÷ 13 × 6 = 72

Hope this helps!

Good luck!

Answer:

156÷13=12(the number of 13s'in 156)

there are 12

12*6=72

seventy two students live on campus

Answer:

the monthly payment is $636.02

Step-by-step explanation:

The calculation of the monthly amount deposited i.e. PMT is shown below:

GIven data

NPER = 15 × 12 months = 180

RATE = 5% ÷ 12 = 0.4167%

PV = $0

FV = $170,000

based on the above information

The formula is given below:

= PMT(RATE;NPER;PV;FV;TYPE)

After applying the given formula, the monthly payment is $636.02

Answer:

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then \(Z=\frac{X-\mu}{\sigma}\), is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \(\sim\) N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

\(P(-2.13<Z<0)=P(Z<0)-P(Z<-2.13)\)

                           \(=0.50-0.01659\\=0.48341\\\approx 0.4834\)

Thus, the area of the shaded region under the standard normal curve is 0.4834.

Using the normal distribution, it is found that the area of the shaded region is of 0.4833.

In this problem, we want the area between Z = -2.13 and Z = 0.

0.5 - 0.0166 = 0.4833

The area of the shaded region is of 0.4833.

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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