14x - 9 + 8x + 3 = 9x - 8 - 3x - 14
One Solution
Infinitely Many Solutions
No Solution

Step-by-step explanation:

at 2=-2

at -3= -6

\(y = ax + b \\ - 2 = 2a + b \\ - 6 = - 3a + b\)

\( - 2 - ( - 6) = 2a - ( - 3a) \\ 4 = 5a \\ a = 0.8\)

\( - 2 = 2(0.8) + b \\ b = - 2 - 1.6 \\ b = - 3.6\)

\(y = 0.8x - 3.6\)

From a group of 15 randomly selected residents , the probability that at least thirteen of them shop at Walmart is 0.0271  .

6 out of 10 Niceville residents shop at Walmart

So, the probability of shopping at Walmart (p) is = 6/10 = 0.6

The probability of not shopping at Walmart is (q) = 1 - 0.6 = 0.4 .

The number of members in the group is(n) = 15 ;

We have to find the probability that, at least thirteen of them shop at Walmart

By the Binomial Probability Distribution,

we know that ; P(x = a) = ⁿCₐ×pᵃ×qⁿ⁻ᵃ

So , P(x ≥ 13) = P(x=13) + P(x=14) + P(x=15)

Substituting the values of a , n and p and q ,

We get ;

= ¹⁵C₁₃p¹³q² + ¹⁵C₁₄p¹⁴q¹ + ¹⁵C₁₅p¹⁵q⁰

= ¹⁵C₁₃(0.6)¹³(0.4)² + ¹⁵C₁₄(0.6)¹⁴(0.4)¹ + ¹⁵C₁₅(0.6)¹⁵(0.4)⁰

= 0.0219 + 0.0047 + 0.0004

= 0.0271

Therefore, the required probability is 0.0271

Learn more about Binomial Probability Distribution here

https://brainly.com/question/26077592

#SPJ4

Answer:

Compound interest calculator. Here's how to use NerdWallet's calculator to determine how much your money can grow with compound interest

Step-by-step explanation:

Answer:

P = 48 in²

Step-by-step explanation:

Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of \(\frac{3}{2}\)

To find: Perimeter of the dilated rectangle

Formula: \(P=2(l+w)\)

Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.

\(P=2(l+w)=2\) × \((15+9)=48in\)

Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²

Answer:

it's 9in

Step-by-step explanation: i got it right on my test

Answer:

Step-by-step explanation:

Hello!

The sample shows the scores for the combined three-part SAT.

Raw data in first attachment.

a.

To arrange the data in a frequency table using class intervals you have to determine the number of intervals you want to use and calculate their width. In this case, the width is given and so is the lower limit of the first interval, you calculate the successive limits by adding the width. The lower limit of the next interval will be the upper limit of the previous one:

1) 800 + 200= 100

First interval [800; 1000)

2) 1000 + 200

Second interval

[1000; 1200)

And so on until you reach the maximum value of the data set,

[1200; 1400)

[1400; 1600)

[1600; 1800)

[1800; 2000)

[2000; 2200)

Then you have to order the data from least to greatest and count how many observations correspond to each value, this way you'll determine the observed frequency for each interval.

Table and histogram in second attachment.

b.

As you can see in the histogram, this distribution is symmetrical centered in the interval [1400; 1600) and there are no outliers observed.

c.

Values around 1400-1600 are the most common ones while scores around 800-1000 or 2000-2200 are more uncommon, in this sample it seems the probability to obtain a perfect score for the combined three-part SAT is extremely low.

I hope you have a nice day!

The best estimate for the pigeon population is 540.

Finding an estimate or approximation—a value that may be used for a purpose despite the possibility of incomplete, ambiguous, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Counting a small sample of something and extrapolating that number to a wider population is how estimation is frequently done. Calculating how many sweets of a certain size are contained in a glass jar is an example of estimation.

380 x 27/19

= 540

So the answer is

540

To learn more about estimation from given link

https://brainly.com/question/19596446

#SPJ9

This Question is Incomplete

Complete Question

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 11. Use the empirical rule to determine the following:

a. What percentage of people has an IQ score between 89 and 111?

b. What percentage of people has an IQ score less than 89 or greater than 111?

c. What percentage of people has an IQ score greater than 133?

Answer:

a) 68%

b) 32%

c) 0.15%

Step-by-step explanation:

The Empirical rule formula:

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2)95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3) 99.7% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

a. What percentage of people has an IQ score between 89 and 111?

Using :μ - σ , μ + σ

μ = Mean = 100

σ = Standard deviation = 11

μ - σ

100 - 11 = 89

μ + σ

100 + 11 = 111

Hence, from the above calculation, this data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ . Hence, it satisfied the first rule in the Empirical formula.

Therefore, 68% of data falls within 1 standard deviation from the mean.

b. What percentage of people has an IQ score less than 89 or greater than 111?

Using :μ - σ , μ + σ

μ = Mean = 100

σ = Standard deviation = 11

μ - σ

100 - 11 = 89

μ + σ

100 + 11 = 111

Hence, from the above calculation,68% of this data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ . Hence, it satisfied the first rule in the Empirical formula.

But we are told to find the percentage of people that score less than 89 and above 111

100 - 68 = 32%

c. What percentage of people has an IQ score greater than 133?

We apply the third rule of the Empirical rule formula

99.7% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .

μ = Mean = 100

σ = Standard deviation = 11

μ + 3σ

100 + 3(11)

100 + 33

= 133

Since we are to find the percentage greater than 133

Hence: 100 - 99.7%

= 0.3%

The percentage greater than 133(the right hand side)

= 0.3%/2

= 0.15%

Answer:

\( 2ab^2 -d^3 + c \)

Step-by-step explanation:

Given the expression \( 2ab^2 - (d^3 - c) \), all you need to do to evaluate the expression is to open the bracket.

Use the negative sign to multiply all the terms within the bracket alongside the sign they carry.

Thus,

\( 2ab^2 - (d^3 - c) = 2ab^2 -d^3 + c \) (negative sign multiplied by negative sign equal positive sign)

We cannot evaluate \( 2ab^2 -d^3 + c \) further. The me three terms are different from one another. There are no like terms.

Consider variable x as the time in hours Emma takes to clean her window and variable y as time Emma takes to clean the car.

If she has at most 2 hours, then, you have the following inequality:

x + y < 2

If now consider t as time, in hours, she spends in the two tasks, you have:

t < 2

The graph of the previous inequality on a number line is:

Where on the number line you have the number of hours. The square parenthesis are the limits of the available time Allison has to complete the tasks. From 0 hours to maximum 2 hours. The red line makes explicit such time interval.

The price of the bed after mark up is $475.00

Discount results in the reduction of the selling price of the product, which makes it more attractive for the customer.

The first discount given is 25% , therefore the price of the bed before mark up is

25/100 × 800

= 25×8

= 200

the price before mark up = 800-200 = $600

Another 25% is given after the first sale, there the price of the bed after mark up is

25/100 × 600

=$ 125

price after markup = 600-125

= $475.00

therefore the price of the bed after markup is $475.00

learn more about discount from

https://brainly.com/question/1548141

#SPJ1

Answer:

=5x

Step-by-step explanation:

3x+2x

=3x+2x

=x+x+x+x+x

=5x

Step-by-step explanation:

step 1. 3x + 2x = 5x. that is the answer.

The evaluated speed of P is 54.5 m s¯¹, under the condition that two forces F₁ and F₂ act on a particle P. The force F₁ is given by F₁ = (-i + 2j) N and F₂ acts in the direction of the vector (i + j).

To evaluate the speed of particle P when t = 3 seconds, we can apply the equations of motion formulas to calculate the velocity if the acceleration and initial velocity values are already given.
The formula can be derived :
v = u + at
Here,
v =  final velocity of the particle,
u = initial velocity of the particle,
a = acceleration acting on the particle
t = time taken.
It is known to us that the acceleration of P is (3i + 9j) ms² and at time t = 0, the velocity of P is (31 -22j) m s¯¹. We can evaluate the initial velocity u by taking the magnitude of (31 -22j) that is
√(31² + (-22)²)
= 39.051 m s¯¹.
Now we can staging all values into the formula
v = u + at
v = 39.051 + (3i + 9j) × 3
v = 39.051 + (9i + 27j)
v = (39.051 + 9)i + (27)j
v = 48.051i + 27j
Then, when t = 3 seconds, the speed of particle P is √(48.051² + 27²)
= 54.5 m s¯¹.
To learn more about acceleration
https://brainly.com/question/30595126
#SPJ1

Answer:

The answer would be 1.0005 x 10^12

Or, 1,000,500,000,000

Step-by-step explanation:

You take the first number, 1.0005 then move the decimal to the right 12 times.

Add zeros the the empty spots. Then you get your answer.

It will take about 9 hours to fill the empty cylindrical swimming pool with a diameter of 9 meters and a depth of 1.5 meters, given that water is pumped at a rate of \(11 m^3\) per hour.

To determine the number of hours it will take to fill the empty swimming pool, we first need to calculate the volume of the pool and then divide it by the rate at which the water is being pumped. The pool is a cylinder with a diameter of 9 meters and a depth of 1.5 meters.

1. Calculate the radius: Since the diameter is 9 meters, the radius (r) is half of that, which is 4.5 meters.

2. Calculate the volume of the pool: The formula to find the volume (V) of a cylinder is V = πr^2h, where r is the radius, h is the height (or depth in this case), and π is approximately 3.14. Using these values, we get:

V = 3.14 x \((4.5)^2\) x 1.5
V ≈ 3.14 x 20.25 x 1.5
V ≈ \(95.03 m^3\)

3. Determine the time to fill the pool: The water is pumped at a rate of 11 m^3 per hour. To find the number of hours (t) it takes to fill the pool, we divide the volume by the rate:

t = V / rate
t ≈ 95.03 / 11
t ≈ 8.64 hours

4. Round to the nearest hour: Since the question asks to round to the nearest hour, the answer is approximately 9 hours.

In conclusion, it will take about 9 hours to fill the empty cylindrical swimming pool with a diameter of 9 meters and a depth of 1.5 meters, given that water is pumped at a rate of\(11 m^3\)per hour.

Know more about swimming pool    here:

https://brainly.com/question/28063924

#SPJ11

Answer:

128

Step-by-step explanation:

12+12+12+12+16+16+16+16+16

Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence \(n_{p}\) > 5  while \(n_{q}\)  < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate  ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = \(\sqrt{npq}\) = \(\sqrt{5490 * 0.51 *0.49}\) = 37.0399  ---- ( 1 )

determine the Z-score = (x - u ) / std  ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Answer:

I.Q.R = 11 - 3

I.Q.R = 9

the interquartile range = 9

Mrs. Barton should use 2 cups of peanut butter in her huge batch with 1 cup of oil.

What is fraction?

Fractions are a way of representing part of a whole. They are written as two numbers separated by a slash. The top number is called the numerator, and the bottom number is called the denominator. For example, in the fraction 1/2, 1 is the numerator and 2 is the denominator. This fraction represents one part of a total of two parts.

Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil.

From the above question:

1/2 cup of oil = 1 cup of peanut butter

1 cup of oil = x

Cross Multiply

1/2x = 1 × 1

x = 1 ÷ 1/2

x = 1 × 2/1

x = 2 cups of peanut butter.

Therefore, for huge batch with 1 cup of oil, she should use 2 cups of peanut butter.

Learn more about fraction here:

brainly.com/question/19713090

#SPJ1

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

for such more question on percentile

https://brainly.com/question/24877689

#SPJ8

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

Answer: 4

Step-by-step explanation: Because 4x5=20 and 20x4=80 than 80x4=320

Answer:

C = 5n + 100

Step-by-step explanation:

The cost (C) to make a book bag is an initial fee of $100 with an additional $5 for each bag (n) made.  The equation will look like

C = 5n + 100

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

The value of the speed(v) is 5.14 km/hr

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector. Speed is measured in m/s and km/hr

speed = distance / time

distance = 3km

converting the time in seconds to hour,

time = 35 mins = 35/60 = 7/12 hr

speed = 3 ÷ 7/12

= 3× 12/7

= 36/7

= 5.14 km/hr

therefore the speed of the boy is 5.14 km/hr

learn more about speed from

https://brainly.com/question/4931057

#SPJ1

The conditional value probability is solved and P ( F | E ) = 6/17

Given data ,

P ( E ) = 0.85

P ( F ) = 0.4

P ( E ∩ F ) = 0.3

Now , the formula for conditional probability to calculate P(F|E):

P(F|E) = P(E ∩ F) / P(E)

We are given that P(E) = 0.85 and P(E ∩ F) = 0.3, so we can substitute those values in:

P(F|E) = 0.3 / 0.85

Simplifying this fraction, we get:

P(F|E) = 6/17

Hence , the probability of F given that E has occurred is 6/17 or approximately 0.35.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

r = 5 km

Step-by-step explanation:

Given that,

The population in a circular region = 1.15 million

The population density of the region = 18075 people per kilometer

We need to find the radius of the region.

We can find the area of circular region i.e.

\(A=\dfrac{P}{d}\\\\A=\dfrac{1.15\times 10^6}{18075 }\\A=63.6\ km^2\)

We know that the area of a circular region is given by :

\(A=\pi r^2\\\\\pi r^2=63.6\\\\r=\sqrt{\dfrac{63.6}{\pi}} \\\\r=4.49\ km\)

or

r = 5 km

So, the radius of the region is equal to 5 km.

Answer:

-6 ≤ x < 0

Step-by-step explanation:

-6 + 7 = 1 and 1 is included in this inequality.  

0 + 7 = 7 and 7 is not included in this inequality.  

Therefore, -6 ≤ x < 0 is the answer.  

To graph, closed circle at -6 and open circle at 0.  

Answer:

24

Step-by-step explanation:

9%-> 12

18%-> 12/9 x 18%

      = 24

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

For more such questions on power expression, click on:

https://brainly.com/question/31189944

#SPJ8