The width of a rectangle with an area of 72 square inches is 6 inches. What is the perimeter of the rectangle, in inches?

Answer:

a

34

b

17

c

46

Step-by-step explanation:

a

Lowest age = 21

Highest age = 55

Range = 34

b

Add them all together and you get 17

c

Median is middle

17 total people

Formula for median:

(n + 1)/2 = th

n is the total

17 + 1 is 18

18 halved is the 9th number

The 9th number is 46

The probability that less than 3 people will make a purchase is 0.886.

The probability that less than 3 people will make a purchase is calculated as follows;

The probability of less than 3 people is given as;

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

The probability for 0;

P(X = 0) = (15C₀)(0.08⁰) x (1 - 0.08)¹⁵⁻⁰

P(X = 0) = 0.286

The probability for 1;

P(X = 1) = (15C₁)(0.08¹)  x  (1 - 0.08)¹⁵⁻¹

P(X = 1) = 0.373

The probability for 2;

P(X = 2) = (15C₂)(0.08²) x (1 - 0.08)¹⁵⁻²

P(X = 2)  = 0.227

The probability of less than 3 people is = 0.286 + 0.373 + 0.227

= 0.886

Learn more about probability here: https://brainly.com/question/24756209

#SPJ4

\(y = mx + b \\ \\ from \: this \\ slope(m) = 4\)

PLEASE GIVE BRAINLIEST

The line's slope is:

Work/explanation:

Since we're given an equation in slope intercept form, we can find the slope pretty easily. There's a trick to finding the slope.

With this type of equations, the slope is the number in front of x.

That leads us to the conclusion that the slope of y = 4x - 1 is 4.

The resulting angular acceleration of the 4. 2 kg lower leg and foot given a radius of gyration of 25 cm  is equal to 16.29rad/s².

As given in the question,

Tension 'F' = 500 N

Angle of attachment =20°

Axis of rotation at the knee = 2.5 cm

                                              = 0.025m

Torque produced by the knee

T = F × d⊥

  = 500 × 0.025 × sin20°

  = 500 N × 0.025 m × 0.342

  = 4.275Nm

Moment of inertia of the knee

I = mr²

Mass 'm' = 4.2kg

Radius of gyration 'r' = 25 cm

                                  = 0.25 m

I = 4.2 × (0.25)²

 = 4.2 × 0.0625

 = 0.2625 kgm²

Formula based on moment of inertia, torque and angular acceleration

T = I∝

⇒∝ = T / I

⇒∝ = 4.275 / 0.2625

∝ =16.29rad/s²

Therefore, for the given values the resulting angular acceleration is 16.29rad/s²

Learn more about angular acceleration here

brainly.com/question/29428475

#SPJ4

Answer:

Step-by-step explanation:

Option A

Option B

Option C

Option D

The information that supports the conjecture is the observation that the sum of certain pairs of odd integers results in even integers.

To list information that supports the conjecture that the sum of two odd integers is an even integer, we can consider some examples:

1. 3 + 5 = 8

2. -7 + -1 = -8

3. 13 + 19 = 32

In each of these examples, the sum of two odd integers results in an even integer.

However, it is important to note that listing a few examples does not provide conclusive proof for the conjecture. To prove the conjecture, we need to show that it holds true for all possible cases, which requires a more rigorous and general approach.

To counter the conjecture, we can provide a counterexample where the sum of two odd integers does not result in an even integer:

-1 + 1 = 0

In this case, the sum of two odd integers (both -1 and 1) is an even integer (0).

Therefore, while the examples provided support the conjecture, the existence of a counterexample disproves the conjecture. This illustrates that it is necessary to consider all possible cases and provide a logical and mathematical explanation to prove or disprove a conjecture.

To learn more about  integers, click here:

brainly.com/question/33503847

#SPJ11

Answer:

228m²

Step-by-step explanation:

Compound Interest

The final value (FV) of an investment P after t years is calculated with the formula:

Where r is the annual interest rate and m is the number of compounding periods per year.

We are given the following data:

P = $7000

t = 13 years

r = 7% = 7 / 100 = 0.07

The compounding period varies from part to part.

a) Annually

In this case, m = 1 because the money compounds once per year. Applying the formula:

Calculating:

The final value is $16868.92

b) Semiannually. The money compounds twice a year, so m = 2. Applying the formula:

The final value is $17121.71

c) Quarterly. The money compounds 4 times a year, so m = 4. Applying the formula again:

The final value is $17253.92

d) Daily (calendar year). In this case, we use m = 365:

The final value is $17388.74

e) Continuously. We use a slightly different formula here:

Applying the formula:

The final value is $17390.26

Answer:

Choice B

Step-by-step explanation:

Triangles JKL and TVW are similar by SAS similarity postulate

Answer: im thinking it is 5 but i could be totally wrong. im not the smartest lol

Step-by-step explanation:

The values of functions are:

a) f( x ) + g( x ) = x² + x - 3

b) f( x ) - g( x ) = x² - x - 5

c) f( x ) / g( x ) = x² - 4/ (x+ 1)

d) f( x ) * g( x ) = x³ + x² - 4x - 4

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = x² - 4 and g (x) = x + 1  

a) f( x ) + g( x )

= x² - 4  + x+ 1

= x² + x - 3

b) f( x ) - g( x )

=  x² - 4 - ( x+ 1)

=  x² - 4 - x- 1

= x² - x - 5

c) f( x ) / g( x )

=  x² - 4/ (x+ 1)

d) f( x ) × g( x )

= (x²- 4)( x+ 1)

= x³ + x² - 4x - 4

Learn more about function here:

https://brainly.com/question/12431044

#SPJ1

The number for which the sample standard deviation is exceeded with a probability of 0.01 is approximately 29.143.

To find the probability that the sample standard deviation is bigger than a certain number, we can use the chi-square distribution.

Given:

Sample size (n) = 15

Standard deviation of the population (σ) = 1.8%

Significance level (α) = 0.01 (1%)

To find the critical chi-square value, we need to determine the degrees of freedom. For a sample standard deviation, the degrees of freedom are (n - 1).

Degrees of freedom (df) = 15 - 1 = 14

Using a chi-square distribution table or calculator with 14 degrees of freedom and a significance level of 0.01, we find the critical chi-square value to be approximately 29.143.

The probability that the sample standard deviation is bigger than a certain number can be interpreted as the probability of having a chi-square value greater than that number.

Therefore, the probability that the sample standard deviation is bigger than the critical chi-square value of 29.143 is 0.01 or 1%.

In summary, the probability is 0.01 that the sample standard deviation is bigger than 29.143.

Learn more on probability here;

https://brainly.com/question/24756209

#SPJ4

Using binomial probability, the number of runners which Lana beat is 21.

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's time = 13.2

proportion of runners who had race time above 13.2 can be related by the binomial equation:

P(x > 13.2)

Calculate the Zscore:

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

Using a table or Z-probability calculator:

P(Z > 0.6667) = 0.2524

This is about 0.2524 * 100 = 25.24% = 25% (nearest percent)

25% of 84 runners would be :

0.25 * 84 = 21

Therefore, Lana beat 21 runners.

Learn more on Binomial probability:https://brainly.com/question/9325204

#SPJ4

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

$25

Step-by-step explanation:

money=x

3x-6=69

3x=75

x=25

Hope this helps plz hit the crown :D

Answer:

%25 dollars  saved

Step-by-step explanation:

Answer:

y=mx+c

Step-by-step explanation:

noice

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Assuming i and j refer to the row and column of a given element, that matrix would be ...

  \(\left[\begin{array}{cc}2&3\\3&4\end{array}\right]\)

__

Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.

Given equation:

Where T = temperature in Fahrenheit and

V = wind speed in miles per hour

Conversion formulas:

Question (b)

We are required to convert -2 degree Celsius to Fahrenheit

Using the conversion formula:

Answer: 28.4 F

The average of the given values 18, 4, 12.99, 13.772, and 9.704, is approximately 11.6932.

The average of the values 18, 4, 12.99, 13.772, and 9.704 can be calculated by summing all the values and dividing by the total number of values.

To calculate the average, also known as the arithmetic mean, of a set of values, we add up all the values and then divide the sum by the total number of values.

In this case, we have the values 18, 4, 12.99, 13.772, and 9.704.

To find the average, we add up all the values:

18 + 4 + 12.99 + 13.772 + 9.704 = 58.466

Next, we divide the sum by the total number of values, which in this case is 5:

58.466 / 5 = 11.6932

Therefore, the average of the values 18, 4, 12.99, 13.772, and 9.704 is approximately 11.6932.

Learn more about Mean here:

https://brainly.com/question/1136789

#SPJ11

Answer:

There would only be one zero and it would be x = 9.

Step-by-step explanation:

Hope it helps!

Answer: Cant give you an explanation, but the slope is -2.

I don't know if you need the answer to the questions above, if u do, lmk.

Answer:

- number of hours on video games and test scores

- average running speed and total race time

- outside temperature and amount of a heating bill

Step-by-step explanation:

1. number of hours on video games and test scores (negative correlation - as you spend more hours on video games, test scores might decrease)

2. speed of a car and minimum stopping distance (positive correlation - as the distance to the next stop increases, the speed of the car should increase)

3. average running speed and total race time (negative correlation - as you run for longer, your speed should decrease)

4. adult’s head circumference and age (positive correlation - as your age increases, your head size increases, too)

5. outside temperature and amount of a heating bill (negative correlation - as temperature increases, the heating bill decreases)

The two options with negative correlations are:

"Number of hours on video games and test scores" and "Outside temperature and amount of a heating bill"

A relation between two variables, x and y, has a negative correlation when if one variable increases, the other decreases.

From the options, the ones that can have a negative correlation are:

Number of hours on video games and test scores: Here as the number of hours that you play video games increases, it is possible that your test scores decrease, so we have a negative correlation.

Outside temperature and amount of a heating bill: As the outside temperature decreases, the amount that you pay in heating increases, so again, we have a negative correlation.

If you want to learn more about correlations:

https://brainly.com/question/4219149

#SPJ2

She would be able to fill only one spherical mold with a diameter of 5 cm.

To calculate the number of spherical molds with a diameter of 5 cm that Carmen can fill with the same amount of powder, we need to compare the volumes of the two different sizes of molds.

The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3

where V is the volume and r is the radius of the sphere.

Let's calculate the volumes of the two different sizes of molds:

For the molds with a diameter of 4 cm:

- Radius (r) = diameter / 2 = 4 cm / 2 = 2 cm

- Volume (V1) = (4/3) * π * (2 cm)^3 ≈ 33.51 cubic centimeters

For the molds with a diameter of 5 cm:

- Radius (r) = diameter / 2 = 5 cm / 2 = 2.5 cm

- Volume (V2) = (4/3) * π * (2.5 cm)^3 ≈ 65.45 cubic centimeters

Now, let's calculate the number of molds with a diameter of 5 cm that can be filled with the same amount of powder:

Number of molds = V1 / V2 = 33.51 cubic centimeters / 65.45 cubic centimeters ≈ 0.512

Since we can't have a fraction of a mold, Carmen would be able to fill 0 molds with a diameter of 5 cm with the same amount of powder. In other words, she would not be able to fill any spherical molds with a diameter of 5 cm using the given amount of powder.

For more such questions on spherical mold,click on

https://brainly.com/question/16726545

#SPJ8  

Answer:

Triangle 1 -    \(\sqrt{29\) (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2-    i couldnt figure this one out- may not be true

Pythagorean Theorem is...   C) true for all right triangles

Step-by-step explanation:

Aim :

We have to convert them into improper fractions as they are into mixed fractions. So let's start..!!

Solution :

1) \( \bf{ 1\dfrac{5}{8} }\)

Multiply 8 into 1 and add 5 into it,

\(: \: \implies \: \sf{ \dfrac{8 \times 1 \: + \: 5}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{8 \: + \: 5}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{13}{8}}}\)

_______________________________________

2) \( \bf{ 4\dfrac{2}{5} }\)

Multiply 4 into 5 and add 2 into it.

\(: \: \implies \: \sf{ \dfrac{4\times 5 \: + \: 2}{5}} \\ \\ : \: \implies \: \sf{ \dfrac{20 \: + \: 2}{5}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{5}}}\)

_______________________________________

3) \( \bf{ 2\dfrac{6}{8} }\)

Multiply 8 into 2 and add 6 into it after multiplying.

\(: \: \implies \: \sf{ \dfrac{2 \times 8 \: + \: 6}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{16 \: + \: 6}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{8}}}\)

Answer:

Dragons are real because all the other animals on the calendar for real.

Step-by-step explanation:

Hope this helps.

The temperature in the late afternoon is -3°F.

According to the question,

We have the following information:

When Liz woke up in the morning, it was 6°F. By the late afternoon, the temperature had dropped 9°F.

Now, we can easily find the temperature in late afternoon.

To find this, we will have to subtract 9 from 6 because the temperature has dropped from 6.

(Please note that the temperature given here is in ° F. However, it is to be noted that the two most commonly used units of temperature are °F and °C.)

So, we have the following expression:

6-9

-3°F

Hence, the temperature in the late afternoon is -3°F.

To know more about temperature here

https://brainly.com/question/11464844

#SPJ1

The volume of the prism with given dimensions in the figure is equal to 612√3 cubic millimeter.

The dimensions of the triangular prism are,

Base of the triangle  'B' = 12mm

let us consider 'h' be the height of the triangle base.

Which intersect base at midpoint

height of the triangle 'h' = √ 12² - 6²

                                        = √108

                                        = 6√3mm

Side length of the prism 'l' = 17mm

Volume of the triangular prism

= ( 1/2 ) × Base × height × length of the side

= ( 1/2 ) × B × h × l

Now , substitute the values we have,

⇒ Volume of the triangular prism  = (1/2) × 12 × 17 × 6√3

⇒ Volume of the triangular prism  = 612√3 cubic millimeter.

Therefore, the volume of the triangular prism is equal to 612√3 cubic millimeter.

learn more about volume here

brainly.com/question/16064641

#SPJ1

Answer:

104

Explanation:

1. Split the figure by the line the larger portion creates.

2. Calculate the area of the left-hand side... 7 · 8 = 56cm squared.

3. You know that the total length of the figure is 15cm. You've already "used" 7cm of that. So... 15 - 7 = 8.

4. Now, we simply do 6 · 8 = 48. Almost there!

5. Finally, add the values of the left side and the right side (48 + 56 = 104)

6. YOUR ANSWER IS 104 cm squared.