Explain how to solve this question by multiplying, dividing, adding, or subtracting both sides by 2

**Answer:**

x=16

**Step-by-step explanation:**

x/2 = 8

Multiply both sides by 2

x=16

:] Hope this helps

**the answer would be x=16**

**you would multiply both sides by 2 **

In a class of 28 students, 6 are female and 7 have an A in the class. There are 17 students who are male and do not have an A in the class. What is the probability that a student is a male given that they have an A?

**Step-by-step explanation:**

a probability is always

desired cases / totally possible cases

28 students in total.

6 are female.

so, we have 28-6 = 22 male students.

7 of the 28 students have an A.

17 male students do not have an A.

that means 22-17 = 5 male students have an A.

and that means 7-5 = 2 of the female students have an A.

"given that they have an A".

that reduces our totally possible cases to 7.

the probability that an A-student is male is therefore

5/7 = 0.714285714...

and FYI

the probability that an A student is female is

2/7 = 0.285714286...

The **probability** that a student is **male** given that they have an A is approximately 0.538.

It is the **chance** of an event to occur from a total number of **outcomes**.

The formula for probability is given as:

**Probability** = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use **Bayes**' **theorem**.

P(male | A) = P(A | male) x P(male) / P(A)

We are given:

P(A | male) = 7/17

(7 students are male and have an A, out of 17 male students)

P(male) = 17/28

(17 students are male, out of 28 total students)

P(A) = (6+7) / 28

(13 students have an A, out of 28 total students)

**Plugging** in these values.

P(male | A) = (7/17) x (17/28) / (13/28) = 0.538

Therefore,

The **probability** that a student is **male** given that they have an A is approximately 0.538.

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Diego and his mom have been saving recycling items for months, and today they traded them in. They made $42 on cans, $19 on glass bottles, and $32 on plastic bottles. Diego estimates that they made around $140. Is that a good estimate?

No, Diego's estimation is not good because he **overestimated **the original value to nearly **double **the amount.

Overestimation is when we fix a value that is **greater **than the original value and underestimation when we fix a **value **that is less than the original value.

Given, Diego and his mom have been saving **recycling **items for months and today they traded them in they made 42 dollars on **cans**, 19 dollars on **glass bottles**, and 32 dollars on **plastic** **bottles **which are 83 dollars.

Diego estimates it to be 140 dollars which is nearly **double **the original amount and not a good estimate.

A good acceptable estimate can be of more or less than 5% of the **original **value.

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Please help me

Thank you ;)

**Answer:**

they're similar

**Step-by-step explanation:**

hello again ;)

The front of the tent pictured at the right is shaped like an isosceles

triangle. The angles that the sides of the tent make with the ground

are congruent. If m<1 = 40°, find m<2 and m<3.

The measure of the **angles** 2 and 3 are 70°

**What is an angle?**

An **angle **is a figure in Euclidean geometry created by two rays, called the sides of the **angle**, that share a common termination, called the vertex of the **angle**. **Angles **created by two rays are located in the plane containing the rays. **Angles **also were generated when plane cross. These are known as dihedral angles. An **angle **defined by two intersecting curves is the **angle **of the rays lying tangent to the respective curves at their point of junction. **Angle **can also refer to the measurement of an **angle **or of a rotation. In the case of a geometric **angle**, the arc is defined by the sides and is centered at the vertex.

Given, **angle** 1 = 40°

and, **angle** 2 = **angle** 3 = x

In a triangle, sum of **angles** = 180°

or, m∠1 + m∠2 + m∠3 = 180°

or, 2x = 180-40

or, 2x = 140

or, x = 140/2 = 70°

Hence, the measure of the **angles** 2 and 3 are 70°

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The probability that a health nurse will find a client at home on a particular day is 0.7. what is the probability that on two home visits made by the nurse in a day, she will find each client at home?

The** probability **that the nurse will find the two patients is P = **0.49.**

We know that the **probability **that the nurse finds the client on a particular day is 0.7

So, each time that the nurse goes that a home, that **probability **is the same and is **independent **of what happened before.

So if the nurse goes to two houses, the **probability **that she will find the client on the first home is 0.7

And the **probability **that she will find the client on the second home is 0.7

Then the** joint probability** (the product of the two individual ones) is:

P = 0.7*0.7 = 0.49

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Check

Solve the equation 3x-7 = 2.

x=3 is the answer because you add 7 on both sides to get 3x=9 then you divide 3 on both sides to get x=3

X=3 because when you add the 7 to both sides you cross out 7 and you then add 2+7 which equals 9. Dividing the 3 on both sides you cancel the 3 out and are left with 9 divided by 3 and that equals 3

Find the 96th term of the arithmetic sequence 1, -12, -25,

The 96**th term** of the arithmetic sequence (1, -12, -25,.......) **is** 1234.

We are provided with the arithmetic sequence mentioned below;

1, -12, -25,...........

We know that, the rule to calculate the nth term in an arithmetic sequence is

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 ) d equation 1

Here, d is the difference between two **consecutive terms** in the arithmetic sequence , [tex]a_{1}[/tex] is the first term, n is the number of terms and [tex]a_{n}[/tex] is the** nth term**.

We have,

n = 96

[tex]a_{1}[/tex] = 1

d = -12 -1 = -13

Now, substitute these values in equation 1 i.e, formula of **arithmetic sequence **and on substituting we will get

[tex]a_{96}[/tex] = 1 + ( 96 - 1 ) ( -13 )

[tex]a_{96}[/tex] = 1 - (95) (13)

[tex]a_{96}[/tex] = 1 - 1235

[tex]a_{96}[/tex] = 1234

So, we can conclude that the 96**th term** of the arithmetic sequence is 1234.

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Look at the steps and find the pattern.step 1step 2step 3How many dots are in the 4th step?dotsSubmit

**40**

**Explanation**

**Step 1**

a)initially we have 8 dots

after that

in step 2, we have a new row and , now there are 8 dots per row, so

[tex]\begin{gathered} \text{new row} \\ and\text{ number of dots= previous +1} \end{gathered}[/tex]in step 3, we should have

[tex]\begin{gathered} new\text{ row, it means now, there are 3 rows} \\ \end{gathered}[/tex]and

[tex]\begin{gathered} and\text{ number of circles = previous +1} \\ \text{ number of circles =}8+1=9 \\ \text{ number of circles =}9 \end{gathered}[/tex]as we can see, the rule works

**Step 2**

now, to find the patter in step 4, just apply

[tex]a\text{ new rounds, now, there are 4 row}[/tex]and

[tex]\begin{gathered} and\text{ number of dots = previous +1} \\ \text{ number of dots = 9}+1=10 \\ \text{ number of dots=}10 \end{gathered}[/tex]finally, to know the number of dots

Multiply the number of row, by the number of dots per row, so

[tex]\begin{gathered} \text{Number of dots=4}\cdot10 \\ \text{Number of dots=}40 \end{gathered}[/tex]therefore, the answer is** 40**

I hope this helps you

I need help with my math

Consider the formula,

[tex]x^m\cdot x^n=x^{m+n}[/tex]The expression is given as,

[tex](2.3\times10^4)(3\times10^5)[/tex]Solve the expression as,

[tex]\begin{gathered} =(2.3\times10^4)(3\times10^5) \\ =2.3\times10^4\times3\times10^5 \\ =2.3\times3\times10^4\times10^5 \\ =6.9\times10^{4+5} \\ =6.9\times10^9 \end{gathered}[/tex]Thus, the given expression is evaluated as,

[tex](2.3\times10^4)(3\times10^5)=6.9\times10^9[/tex]what is the probability that at least two of them have the same birthday (month and day)? (assume that each day is equally likely to be a student's birthday, that there are no sets of twins, and that there are 365 days in the year. do not include leap years).

**Answer:**

probability is 1.

**Step-by-step explanation:**

In a lot of probability problems when asking for “at least two” is usually easier to see the opposite case, that is, the “none of them” case…

P(“at least one … X”) = 1 - P(“none of them … X”)

I will we exclude 29th of February, that is, considering none of the people was born on the leap day of a leap year.

First, let’s see what happens for 2 people. We can name one of those 2 people as “first” and the other as “second”. Whatever the birthday of the “first” one is, the other has 364 out of 365 days in the year to have a different birthday.

p(2) = 1–364/365 = 1/365

For 3 people, the “first” has a birthday, the “second” has a probability of 364/365 to have a different birthday and the third has a probability of 363/365.

p(3) = 1 - 364/365 * 363/365= (365^2 - 364*363)/365^2

For 4 people:

p(4) = 1 - 364/365 * 363/365 * 362/365

…

For n people, if n is less than 366:

p(n) = 1 - (364! / [365 - n]! )/365^(n-1)

p(n)=1−364!(365−n)!⋅365n−1

Obviously, if n is 366 or more, since we excluded the leap day there must be always 2 people with the same birthday (pigeonhole principle), and then in this cases the probability is 1.

3. A construction company uses the function (p), where P is the number of

people working on a project, to model the amount of money it spends to

complete a project. A reasonable domain for this function would be

(3)

positive integers

positive real numbers

(2) both positive and negative integers

(4) both positive and negative real numbers

The **domain** of the function would be a **positive integer.**

So option 1) positive integer is correct.

What is the domain of the function?**Domain** of a **function** is the set of values accepted by the function.

So in this question the value is always a **integer**.

Consider the **function** y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the **domain** of a function if it successfully allows the production of a single value y using another value for x.

And the model is made to determine the amount of money spend to complete the project.

We can't define money in **negative term**.

So it must be a **positive** **integer**.

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Solve the system.

4x − 8y + 4z=5

- 6x + 6y - 8z = 1

3x + 3y + 6 = -9

**Answer:**

Point Form:

(

−

13

4

,

−

7

4

,

1

)

Equation Form:

x

=

−

13

4

,

y

=

−

7

4

,

z

=

1

**Step-by-step explanation:**

Please calculate yield%, if you buy a bunch of celery which weighs 16 ounces, after cleaning and trimming, you are left with 12 ounces. what is the yield%?

The** percentage** of yield after cleaning and trimming the celery is** 75%.**

Given, a bunch of celery is bought which **weighs** 16 ounces.

After cleaning and trimming the celery, you are left with 12 ounces.

let the x be the percentage yield.

Based on the conditions, **formulate:**

16 × x = 12

⇒ 16x = 12

⇒ x = 12/16

**minimize** the terms.

⇒ x = 3/4

to convert it into percentage, multiply by 100

⇒ x = 3/4 × 100

⇒ x = 75%

Hence the percentage of** yield** is 75%.

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What is the union of the two sets A = {1, 5, 8, 12, 17} and B = {5, 17}?

{1, 5, 8, 12, 17}

{5, 17}

{1, 5, 17}

{17}

The **union **of **set **A = {1, 5, 8, 12, 17} and B = {5, 17} is

AUB= {1, 5, 8, 12, 17}

This is further explained below.

What is the union of the two sets?Generally, The set that contains all of the **elements **that are part of both sets A and B, or all of the **elements **that are part of both sets combined, is referred to as the union of the two sets A and B. The symbol is used to represent the union of all the **elements **in the set.

In conclusion, The **union **of these sets sees the value of both sets represented

A = {1, 5, 8, 12, 17} and B = {5, 17}

AUB= {1, 5, 8, 12, 17}

**Option A**

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**Answer:**

**Step-by-step explanation:**

just like when you have 5+(17-8) you don't have to do all the work you can just do this 17-8 is 9 and that is when you add 5+9 is 14

How long is the hypotenuse?

The **hypotenuse **of the given right angle triangle is: 50 cm

**What is hypotenuse?**

In mathematics, the **hypotenuse **is the longest side of a right angle triangle. It is defined as the standard formula, which states that the square of the **hypotenuse **is equal to the square of their adjacent sides.

According to the question, to calculate the **hypotenuse **with the given parameters. First name all the three vertices.

AB = 30 cm; BC = 40 cm; AC = ?

Using standard **hypotenuse **formula, which states:

AB² + BC² = AC²

⇒ 30² + 40² = AC²

⇒ AC² = 900 + 1600 = 2500

⇒ AC = 50 cm

Hence, the **hypotenuse **of the given right angle triangle is: 50 cm

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The volume of a cone with height

h

and radius

r

can be found using the formula

V

=

1

3

π

r

2

h

Find the volume of a cone with radius 8 feet and height 7 feet.

The **volume **of the **cone **has a value of 410.67 cubic meters

From the question. the **height **and the **radius** of the cone are given as

Height = 7 feet

Radius = 8 feet

The **volume **of the cone can be calculated using the following volume formula

Volume = 1/3πr^2h

Substitute the known values in the above equation

So, we have

Volume = 1/3 * 22/7 * 8 * 7^2

Evaluate the products

Volume = 410.67

Hence, the **volume **is 410.67 cubic meters

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Emerson pays $227. 25 for 3 new wundows. Write an equation that represents the cost. C for w windows. Show work

The equation which show the** cost of windows**:-

**C = $75.75 * W **

where **W = no of windows **

**What is equation ?**

A **mathematical equation **can be defined in a variety of ways.

The definition of an equation in** algebra **is a mathematical statement that proves** two mathematical expressions **are equal.

Consider the equation **3x + 5 = 14**, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

Mathematical variables are used in even the most fundamental and straightforward **algebraic equations.**

$227.25 ÷ 3 = $75.75

The equation which show the** cost of windows**:-

**C = $75.75 * W **

where **W = no of windows **

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Uber has no pickup fee but charges $0.25 per mile. Lyft charges $3 for pickup and $0.15 per mile. Find the number of miles for which the cost of your Uber and Lyft is the same.

**Answer:**

**Step-by-step explanation:**

15

The **number** of **miles** for which the **cost** of **Uber** and **Lyft** is the **same** is 30.

How to **solve linear equations**?

Given that the **largest power** of the **variable** (or pronumeral) in these equations is **1**, linear equations are also known as **first-degree equations**. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.

The** steps **that should be followed while **solving linear equations** are listed below:

1) We must first determine which variable we need to isolate.

2) Next, make a distinction between variables and constants.

3) Arrange the constants on the right and the variables on the left.

4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Let the number of miles covered be = x

Given, the **cost** of **travel **= Pickup Fee + Cost per mile

Given, the **pickup** fee for **Uber** = $ 0

The **cost per mile** for **Uber** = $ 0.25

Again, the **pickup** fee for **Lyft** = $ 3

The **cost per mile** for **Lyft** = $ 0.15

Thus, the **cost of travel** for **Uber** = 0 + 0.25x -- (i)

Also, the **cost of travel** for **Lyft** = 3 + 0.15x -- (ii)

As per question, (i) and (ii) are equal.

Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3

⇒ x = 3/0.10 ⇒ x = 30

Thus, for 30 miles the cost of Uber and Lyft is the same.

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A soccer league is organizing teams. There are 60 boys to make up the boys' teams and 40 girls to make up the girls' teams. The teams should be the same size What is the largest number of people that can be on a team?The largest number of people that can be placed on a team is

There are 60 boys to make up the boys' teams and 40 girls to make up the girls' teams.

We are also told that the teams should be the same size.

This means that irrespective of the number of teams, each team should contain the same number of players.

Thus, the largest number of people that can be placed on a team is;

The highest common factor ;

The HCF is 10 x 2 = 20, therefore;

**The largest number of people that can be placed on a team is 20.**

How many minutes are in two fifths of a day?

**Answer:576 minutes**

**Step-by-step explanation:**

24h/5

4.8h x 60(minutes)

288min x 2

576 min

4.8h x 60(minutes)

288min x 2

576 min

)) Solve for r. 1= 2r - 1

**Answer:**

r=1

**Step-by-step explanation:**

**1=2r-1**

**Add 1 on both sides**

**2=2r**

**Divide 2 on both sides**

**r=1**

5 Circle the function types whose graphs consist only of lines. Choose all that apply.

Quadratic functions

Linear functions

Exponential functions

Constant functions

Linear absolute value functions

The** functions** whose graphs consist only of lines are-

A function is a relationship between a set of inputs (referred to as the domain) and a set of permissible outputs (referred to as the **codomain**), in which each input is connected to exactly one output. A function on one variable is frequently denoted by f.

**Linear **functions: A straight line just on coordinate plane is represented by a linear function. For instance, y = 3x - 2 symbolizes a straight line on the a coordinate plane and thus a linear function.

**Constant **functions:** **A constant function is employed to portray a quantity that remains constant over time and is considered the simplest type of real-valued function.

**Linear absolute value** functions:** **The Absolute Value Function is a two-linear function piecewise defined function.

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Joe has a piece of wood that is 8/9 of a foot long. He is going to cut it into 4 equally sized pieces. He is going to sell the 4 smaller pieces of wood for a total of 10 dollars. How large will each of the 4 smaller pieces be? How much is he going to charge for each of the 4 smaller pieces?

Answer:

Step-by-step explanation:

The wood is (8/9) foot long. If cut into 4 pieces, each piece would be (8/9)/4 foot long.

(8/9)/4

((8/9)(1/4)= 8/36 or 2/9 foot long for each piece.

If he sells all 4 pieces for a total of $10, he will charge $10/4) = $2.50 each.

if f(x)=2x^2+3x Find f(−5) step by step plese

The value of x for **quadratic equation** f(x) = 2x² + 3x when f(-5) is 35.

Given, f(x) = 2x² + 3x

To find: f(-5)

For the **quadratic equation** f(x) = 2x² + 3x substitute the value -5 in place of x as the f(-5) has been mentioned in the question.

So,

f(-5) = 2(-5)² + 3(-5)

A Square of -5 is 25 and 3 multiplied by -5 is 15,

f(-5) = 2(25) + (-15)

Multiple of 25 and 2 is 50 subtracted by 15,

f(-5) = 50 - 15

At last, subtract 50 by 15,

f(-5) = 35

∴ For equation f(x) = 2x² + 3x when f(-5), the value of x = 35.

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A right-angled triangle is shown below.

10 cm

0

Write tan as a decimal.

45 cm

46.1 cm

Not drawn accurately

Values given are approximate

**Answer:**

tan θ = 4.5

**Step-by-step explanation:**

tan = opposite/adjacent

The opposite of θ is 45 cm long

The adjacent of θ is 10 cm long

tan θ = 45 / 10 = 4.5

The solution is: the value of **tan** is : tan θ = 4.5.

**Trigonometry** is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six **trigonometric **functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ =** adjacent **/ hypotenuse

**tan** θ = opposite / **adjacent**

Here, we have,

we know,

**tan** = opposite/**adjacent**

from the given diagram, we get,

given that,

The opposite of θ is 45 cm long

The** adjacent** of θ is 10 cm long

so, we get,

**tan** θ = 45 / 10

= 4.5

Hence, The solution is: the value of **tan** is : tan θ = 4.5.

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write 0.578 as a percent?

0.578 can be expressed as a percent if we can multiply the decimal by 100%

Step 1: Multiply 0.578 by 100

To multiply by 100, we simply have to shift the decimal point by the number of zeros (twice)

**0.578 x 100 = 57.8%**

**Answer = 57.8%**

Suppose that scores on a recent statistics exam were normally distributed, that students in the 80th percentile of scores earned 85 points, and that students in the 30th percentile of scores earned 65 points. What was the mean of all exam scores in the class?.

The **mean of all exam scores** in the class is found = **71**

**Normally distribution**

A **normal distribution** is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

While data points are referred to as x in a **normal distribution**, they are called z or z-scores in the z-distribution. A z-score is a standard score that tells you how many standard deviations away from the mean an individual value (x) lies: A positive z-score means that your x-value is greater than the mean.

The z-score is found by;

z = (x - μ)/σ

x = sample mean

μ = mean score

σ = standard deviation

Now, from this,

x = zσ + μ

For p = 80th percentile= 0.8, see z value from z score table.

z = 0.85

x = 85 points

85 = 0.85σ + μ .....eq 1

For p = 30% = 0.3, see the z value from the z score table.

z = -0.3802

x = 65

65 = -0.3802σ + μ .....eq 2

Solving eq 1 and 2.

σ = 16.25

Put in eq 1

μ = 71.19

μ = 71

Thus, the mean of all exam scores in the class is found = **71**

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2x- y=-4 x and y intercept

**Answer:**

y = 2x+4

**Step-by-step explanation:**

2x - y = -4

We add y on both sides:

2x - y + y = -4 + y

so 2x = -4 + y

We now add 4 on both sides:

2x + 4 = -4 + 4 + y,

so 2x+4 = y,

so y = 2x+4

So intercept for y = 2x+4

PLS HELPPPP

Is this right????

**Answer:**

yes that is the correct answers

n open rectangular box is formed by cutting congruent squares from the corners of a piece of cardboard and folding the sides up. if the original piece of cardboard was 24 inches by 45 inches, what are the dimensions of the box with maximum volume?

1080 inches² are the dimensions of the box with maximum **volume **.

**What is rectangle?**

rectangular box length = 24 inches

width = 45 inches

maximum volume = 24 * 45

= 1080 inches²

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A clothing designer is selecting models to walk the runway for her fashion show.The designer prefers models that are no more than 3 inches away from being 5'10".Since 5'10" is the same as 70 inches, write an inequality - in terms of inches - thatcould be used to determine if a model's height is within the designer's preferred heightrange.
during the 1920s how was wealth distributed in the us
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Fully factorise x + 7x+6
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cow called boy summaryit's due tomorrow im in dire need of service
To bring an end to excessive drinking, many women in the 1800sopposed the Shaker movement.supported the abolitionist movement.spoke against the revival movement.joined the temperance movement.
The Lawrence family needed to cut expenses on their cell and landline phone service, cable television service, and Internet service. Here are the best prices they found forbasic service, using different service providers: Cell Phone Service: $36.45 per month Landline Phone Service: $30.11 per month Cable TV Service: $57.43 per monthInternet Service: $37.32 per month They found a company with a package deal with all 4 services for $131.59. What is the percentage decrease by purchasing the packagedeal?15.8%16.5%17.7%18.4%None of these choices are correct
Taxol is an anticancer drug extracted from the pacific yew tree that binds to microtubules and prevents their depolymerization. Which phase of mitosis or cell division would be inhibited by treatment with taxol?.
how might the process of making paper from wood be changed to produce paper that is not so acidic
Sectionalism was a major part of the events that led to the Civil War. What does sectionalism refer to? Responses A life in the North was very different than life in the Southlife in the North was very different than life in the South B the United States hoped to expand into new areas of the worldthe United States hoped to expand into new areas of the world C people wanted to live further apart from each otherpeople wanted to live further apart from each other D women and men worked in different areas
Which is NOT a defensive strategy of baseball? A) The pitcher attempts to strike out all battersB) The defense can catch a fly ball before it hits the ground to force an automatic outC) The defense can throw the ball at the runner and the runner is out if it hits themD) The defense can field a ground ball and throw it the base ahead of the runner to get them out
why are the states somyimes descibes as "labrotories of government"
Write the equation of the line with a slopeof -3 that passes through (-5,20)
investors who fund private real estate ventures with sponsors are often amenable to sharing the upside with that sponsor. usually however, before any upside sharing of cash flow occurs, the investors would require:
What is theme?O a story's plotO the underlying meaning or message in a literary workO a story's time and place