According to the flight on certain routes, the experiment is a **binomial experiment** and this will be determined by observing that Flights on a certain route are on-time 80% of the time and 10 flights are randomly selected and the number of on-time flights is recorded.

(a) This is a** binomial experiment **since there are only two possible outcomes for each data that is a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).

(b) Using the formula:

P(a out of n) = (nCa)(pᵃ)(qⁿ⁻ᵃ), where n = 10 flights, a = the number of flights that arrive on time:

P(7/10) = (10C7)(0.8)⁷ (0.2)³= 0.2013

Therefore, 0.2013 chance is there that exactly 7 of 10 flights will arrive on time.

(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).

P(0/10) + P(1/10) + ... + P(6/10) = 0.1209

This means that 0.1209 chance that less than 7 flights will be on time.

(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.

1 - 0.1209 = 0.8791.

So there is a 0.8791 chance that at least 7 flights arrive on time.

(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us

0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.

According to the flight on certain routes, the experiment is a **binomial experiment**

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**DISCLAIMER:** The question provided is incomplete as some data are missing. The above answer is solved as per a relevant question

According to an airline, flights on a certain route are on time 80 % of the time. suppose 10 flights are randomly selected and the number of on-time flights is recorded. (a) explain why this is a binomial experiment. (b) find and interpret the probability that exactly 7 flights are on time. (c) find and interpret the probability that fewer than 7 flights are on time. (d) find and interpret the probability that at least 7 flights are on time. (e) find and interpret the probability that between 5 and 7 flights, inclusive, are on time.

Which 2 expressions are equivalent to 3(x+6)?

1. 3+x+3+x

2. (x+6)+(x+6)+(x+6)

3. 3x+6

4. 3x+18

**Answer:**

2. (x+6)+(x+6)+(x+6)

4. 3x+18

**Why its (x+6)+(x+6)+(x+6)**

Since there's a 3 next to (x+6), you are multiplying 3 and (x+6). That means there are three (x+6) groups. Thus, it's just (x+6)+(x+6)+(x+6).

**Why its ****3x+18**

When you use the distributive property, you multiply 3 and x, and multiply 3 and 6, which gives you 3x and 18, which equals 3x+18.

9x + 27 factor please

**Answer:**

9(x+3)

**Step-by-step explanation:**

9x + 27

Taking 9 as the common factor in the 2 terms

=> 9(x) + 9(3)

=> **9(x+3)**

Which one is the right answer??

A is the answer :) hope this helps

The average income of 5 members in a family is $36,500. The average income of a neighboring family with 2 members is $52,000. What is the average income of both families combined?

**Answer:**

$40928.57

**Step-by-step explanation:**

(5·36500 + 2·52000) / (5 + 2) = 40928.57

Enter an equation in standard form that models the linear situation. A bathtub that holds 53 gallons of water contains 18 gallons of water. You begin filling it, and after 5 minutes, the tub is full.

The **linear** **equation **which represents the **situation **or the amount of water in the **bathtub** in terms of the number of **minutes **is y = 7x + 18.

A **straight line **on the **coordinate plane **is represented by a** linear **function.

In another word, a **linear** function is a function that **varies linearly **with respect to the **changing variable**.

Let's suppose the **number **of **minutes **by x and the **amount **of **water **by y

As per the given question,

The amount of water (y) initially (x = 0) is 18 gallons.

The **first point **(0,18).

The amount of water (y) at x = 5 is 53 gallons.

The **second point **(5,53).

The linear equation is given as y = mx + c where m is the **slope**.

Slope m = (53 - 18)/(5 - 0) = 7

**Substitute **(0,18) →

18 = 7(0) + c

c = 18

So the **equation **become as,

y = 7x + 18.

Hence "The **linear** **equation **which represents the **situation **or the amount of water in the **bathtub** in terms of the number of **minutes **is y = 7x + 18".

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Write the equation of the line in fully simplified slope-intercept form.

**Step-by-step explanation:**

a slope-intercept form :

y = ax + b

"a" is the slope, "b" is the y-intercept (the y-value when x = 0).

the slope is the ratio (y coordinate change / x coordinate change) when moving from on point on the line to another.

"b" we can read off the graph : when x = 0, then y = -5.

so, b = -5.

for the slope let's pick 2 points. your teacher has kindly marked already points with integer coordinates.

so, I pick (3, 1) and (4, 3).

x changes by +1 (from 3 to 4).

y changes by +2 (from 1 to 3).

so, the slope is

+2/+1 = 2/1 = 2

the equation is

y = 2x - 5

**Answer: y=2x-5**

**Step-by-step explanation:**

Choose two points on the graph: (0,-5) and (3,1)

The straight line equation is: y=mx+b

**1)**

[tex]\displaystyle\\\boxed {The\ slope\ m\ =\frac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\displaystyle\\x_1=0\ \ \ \ \ x_2=3 \ \ \ \ y_1=-5\ \ \ \ y_2=1\\\\ Hence,\\\\m=\frac{1-(-5)}{3-0} \\\\m=\frac{1+5}{3} \\\\m=\frac{6}{3} \\\\m=2\\\\Thus,\ y=2x+b\ \ \ \ \ (1)[/tex]

**2)**

**To determine the coefficient b, take any of the two points,**

**for example, (0,-5), that is, x=0 y=5**

**Substitute these values into formula (1):**

[tex]-5=2*0+b\\-5=0+b\\-5=b\\Thus,\ b=-5[/tex]

**The result is y=2x-5**

Sarah spent 2 h more travelling by train than she did by bus. The train averaged 70 km/h and the bus 50 km/h. The total distance travelled was 740 km. How far did she travel by bus?

**Answer:**

250 km

**Step-by-step explanation:**

Sarah traveled a **total of 740 km**, **2 hours more** at a speed of **70 km/h** than at a speed of **50 km/h**. You want to know **how far she traveled** at **50 km/h**.

The relations between time, speed, and distance are ...

distance = speed × time

time = distance/speed

If 'd' represents the distance (km) Sarah traveled by bus (at 50 km/h), then the time (hours) required was ...

time = d/50

The time at 70 km/h is 2 hours more, and the total distance is ...

total distance = (distance at 50 km/h) + (distance at 70 km/h)

740 = d + 70(d/50 +2)

SolutionSimplifying the equation, we have ...

740 = 2.4d +140

600 = 2.4d . . . . . . . . subtract 140

d = 250 . . . . . . . . . . . divide by 2.4

**Sarah traveled 250 km by bus**.

Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi.

Choose the decimal that is equivalent to this fraction.

0.1

The **decimal **which **represents **the **fraction **of the people who **vote **for **kiwi **among all 9 people is 1/9 it's 0.1111111.

It **represents **the number of pieces **removed **from the **whole**. The denominator of a **fraction **is the numerical value that comes before the brings **together **various.

As per the given,

Number of people who **vote **on their **favorite **fruit = 9

Number of people who **vote **for **kiwi **= 1

The **fraction** of person vote kiwi to vote on their **favorite fruit **= 1/9

In **decimal **form 1/9 = 0.1111111.

Hence "The **decimal **which **represents **the **fraction **of the people who **vote **for **kiwi **among all 9 people is 1/9 it's 0.1111111".

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2 (x + 1) <\= 12

X <\= ?

**Answer: x<1**

**Step-by-step explanation:**

the coefficient of x³ in the expansion (2x-1)³

**Answer: 8**

**Step-by-step explanation:**

Since the expression is raised to the 3rd power, the highest exponent x will have will be 3. So in order to get the coefficient you multiply 2x by itself 3 times, getting (2x)³ = (2 * 2 * 2)(x * x * x) = (8)(x³) = 8x³

[tex]\qquad \qquad \textit{binomial theorem expansion} \\\\ \qquad \qquad (2x-1)^{3}~\hspace{4em} \begin{array}{cccl} term&coefficient&value\\ \cline{1-3}&\\ 1&+1&(2x)^{3 }(-1)^0\\ 2&+3&(2x)^{2}(-1)^1\\ 3&+3&(2x)^{1}(-1)^2\\ 4&+1&(2x)^{0}(-1)^3 \end{array} \\\\\\ 1(8x^3)+3(-4x^2)+3(2x)+1(-1)\implies \text{\LARGE 8}x^3-12x^2+6x-1[/tex]

Answer the whole attachment for 100 points and brainlyist

Using it's concept, it is found that:

**a)** The **percent error **is of 16.67%.

b) To get the same percent error, the amount of error needs to be** the same**. Because the **estimate **was 40 people below the attendance, an estimate of 40 people **above **the actual attendance will give the same percent error. Therefore, the other estimate that gives the same percent error is an amount of 280 people.

The percent error is **given **by the difference between the actual and the expected amount, divided by the expected amount and multiplied by 100%.

In the context of this problem, the **amounts **are given as follows:

Hence the** percent error **is given as follows:

(240 - 200)/240 x 100% = 16.67%.

For item b, we want to have the **same absolute difference** between the actual amount and the expected amount, that is:

|Actual - Expected| = 40.

Meaning that there are two possible outcomes:

Actual - Expected = -40 -> Item a.Actual - Expected = 40 -> Actual = 280.Which gives the answer to** item b**, completing the sentences.

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Grace and Kian are building towers. Each one of Grace’s blocks is 8cm tall. Each one of Kian's blocks is 12 cm tall.

They both build towers that are exactly the same height. What is thensmallest height that their towers could be? Give your answer in centimetres.

The answer to this is 20cm

The **smallest** **height** of the tower is 24 cm.

An **expression **contains **terms** with** **addition, subtraction, multiplication, and division.

Example: 44 + 3x + 4y = 7 is an expression.

We have,

**Grace**:

Blocks = 8 cm

**Kian**:

Blocks = 12 cm

Now,

Grace and Kian both have the **same** **height**.

This means,

The **least** **common** **multiples** of 8 and 12.

4 x 2 = 8

4 x 3 = 12

So,

4 x 2 x 3 = 24

Thus,

The **smallest** **height** of the tower is 24 cm.

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The table shows the cost for ordering a certain number of pieces of chicken. What is the value of x if the cost is proportional to the number of chicken pieces ordered?

**Answer:**

$9.00

**Step-by-step explanation:**

**if 2 pieces of chicken ordered --> $3.00**

**6 pieces of chicken ordered --> x**

**(cross multiplication)**

[tex]x= \frac{6*3}{2}[/tex]

so x = 9

then, **6 pieces of chicken ordered is $9.00**

At lunch time a restaurant sold 6 times as many salads as they sold cups of soup . If they sold two cups of soup how many salads did they sell

[tex]\begin{gathered} \text{cups of soup=2} \\ \text{total salads =}2x6 \\ \text{total salads =1}2 \\ The\text{ sold 12 salads} \\ \\ \text{Question 2} \\ \text{kitten}=2 \\ \text{Total puppies =2x6} \\ \text{Total puppies =12} \\ \text{They have 12 puppies} \end{gathered}[/tex]

Solve this equation for x in terms of the other pronumerals.

x/a - x/2a = b

Answer:

x=2a*b

Step-by-step explanation:

(2x-x)/2a=b

x=2a*b

PLEASE HELP! What is one over seven raised to the third power equal to?

one over ten

three over twenty-one

one over three hundred forty-three

three over two thousand four hundred one

**Answer: 1/343**

**Step-by-step explanation:**

can someone please help me answer this is confused how to solve. Thank you so much if you help!

Answer:

Step-by-step explanation: X=-5,-4,-3,-2,-1 Y= -2,-3,-4,-3,-2

7. What is the cost of a book that was sold for $500 and at a profit of $ 230?

The most appropriate choice for **Profit and loss **will be given by-

**Cost price **of the book is $270

**What is Profit and loss?**

The **price** at which an article is **bought** is known as **cost price** and the **price** at which the article is **sold **is known as **selling price.**

If the **selling price **of an article is **more** than the** cost price**, the difference between the **selling price** and the** cost price** gives the **profit.**

If the **selling price** of an article is** less **than the **cost price**, the difference between the **cost price** and the **selling price **gives the **loss.**

Here,

Selling price of book = $500

Profit = $230

In case of profit, cost price is always less than the selling price

Cost price of the book = Selling price - profit

= $(500 - 230)

= $270

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ASAP help with 8th grade math, 50 points

**Answer:**

The height is 7 units the length is 12 units.

**Step-by-step explanation:**

It's 6 and 6 for the graph one.

The height is 7units

3(2a-b)=a make b the subject of formula

On **making b** the **subject** , the **formula** is b = (5/3)a .

in the question ,

it is given that

the formula is a = 3(2a-b), where the **subject is a** ,

we have to rewrite the formula with b as **the subject **.

So, the **given formula** is

a = 3(2a-b)

simplifying the RHS , we get

a = 3*2a - 3*b

a = 6a - 3b

on re arranging the terms , we get

3b = 6a - a

3b = 5a

Dividing both sides by 3 ,we get

3b/3 = 5a/3

Cancelling out 3 from LHS , we get

b = 5a/3

b = (5/3)a

Therefore , On **making** b the subject , the **formula** is b = (5/3)a .

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There were fifty-nine people in line at lunch when sixteen more got in line. How many people were there total in line?

answer: 59+16=75

75 total in line

daisy has one cucumber that is 3 inches long and another cucumber that is 5 inches long she cuts the cucumbers into (3)/(8)-slices and adds them to a salad how many (3)/(8)-inches thick slices does daisy have

**Answer:**

21 slices of 3/8 inch

**Step-by-step explanation:**

Daisy would have 21.This is because 3 times 8 divided by 3 is 8.And 5 times 8 divided by 3 is 13 (you have to ignore the remainder) 8 plus 13 is 21

Draw a picture: The area of a square is 81 square centimeters, then find the length of the sides and diagonals.

The length of a side of the **square **is 9 centimeters. The length of the **diagonal **is 12.73 centimeters.

A **square** is an object that has four sides of equal length. A **square **has two **diagonals **that biscect each other at 90°. The **diagonals **are of equal length. The diagonals of a **square **divide the **square **into two right triangles.

**Area **of a **square = **length²

Length = √area

√81 = 9cm

**Pythagoras theorem **can be used to determine the length of the **diagonal**.

The **Pythagoras theorem:** a² + b² = c²

Where:

a = lengthb = basec = hypotenuse9² + 9²

= 81 + 81

= √162 = 12.73 cm

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Chec

Nathan sells jewelry and earns a 9.75% commission on every piece

he sells. How much commission would he earn on a bracelet that

sold for $220? Use any strategy

**Answer:**

$21.45

**Step-by-step explanation:**

You want to know the amount of a **9.75% commission on $220**.

The amount of the commission is the product of the commission rate and the sales amount to which it is applicable. A 9.75% commission on $220 will be ...

9.75% × $220 = 0.0975 × $220 = $21.45

**Nathan would earn a commission of $21.45 on the sale**.

__

*Additional comment*

We know that a 10% commission can be found by moving the decimal point on the sale amount. A 10% commission on $220 will be $22.

The commission rate of 9.75% is 1/4% less than 10%. 1/4% can be found in two steps: find 1%, then find 1/4 of that.

As with 10%, the 1% amount can be found by moving the decimal point. 1% of $220 is $2.20. One-quarter of that will be $2.20/4 = $1.10/2 = $0.55.

This is the amount we must subtract from the 10% value to make it be 9.75%.

The **9.75% commission amount** is $22.00 -0.55 = **$21.45**.

(The point of using a strategy like this is that you can do the math mentally.)

PLEASE HELP ASAP ITS THE LAST QUESTION I HAVE

In the given diagram x ranges from -2 BUT WITH -2 NOT INCLUDED TO 3 INCLUDED

MATHEMATICALLY WE SAY

[tex] - 2 < x \leqslant 3[/tex]

THE FIRST OPTION FITS MY EXPLANATION.**THE CIRCLE AT THE ENDPOINT OF THE LINE WHICH IS NOT SHADED MEANS NOT INCLUDED AND THE SHADED CIRCLE MEANS INCLUDED**

**HOPE THIS HELPS****. **

3y+2x=-1 solve for x

The answer to this equation is

/ is the division sign btw

X=-1-3y/2

/ is the division sign btw

X=-1-3y/2

yo ___ 14 anos (expressing age

**Answer:**

tengo

**Step-by-step explanation:**

i am hispanic

Yo tengo 14 años de edad

PLEASE QUICK HELP ME

**Answer:**

the answer is 115 degrees

**Step-by-step explanation:**

x is opposite of 115 and would be the same because they are congruent

Stephanie is helping her band collect money to fund a field trip the band decided to sell chocolate bars each bar sells for $1.50 and each box contains 20 bars below is a partial table of monies collected for the different number of boxes sold

O P=20($1.50)

If they sell **100 boxes **of chocolates, they will make **$3,000** in profit.

Given that each chocolate bar costs $1.50 and that there are 20 chocolate bars in a box, **multiplication** is required to get the profit for the entire box. Using this information, we discover that each **chocolate box** costs **$30**, **multiplied** by 100 boxes to equal **$3000.**

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A farmer has bushels to sell at a roadside stand. sells an average of

each day. Represent the total change in the number of bushels for sale after.

The **total change** in the number of bushels for sale is 64.1 bushels.

Given

A farmer has 160 bushels of apples to sell at her roadside stand. Every day, she sells around a 13 7/10** bushel.**

Let us calculate the **overall change** in the number of bushels she has available for sale after 7 days.

137/10

Now we'll figure out how many bushels she'll sell in seven days.

7 x 137/10

95.9

In 7 days, the farmer will sell 95.9 bushels. To calculate our overall change, subtract this figure from the total number of** bushels **of **apples.**

165 - 95.9 = 64.1

Thus, a total of 64.1 **bushels** have been added to the amount of bushels available for sale.

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