Which figure is missing in the pattern?

Answer:

He worked 7 hours

Step-by-step explanation:

X= Number of jobs, H= Hours worked T= Total money made

firstly we have to arrange this into a formula, which will allow you to insert any a value of one variable and find the other variable

this equation is 75x + 45h = T

from this question we know that he worked 2 jobs and made a total of 456$

Adding these into the equation we get:

(75*2) + 45h = 465

solving to find h by isolating the variable, the final answer will be

h = 7

Answer: x=16/17

Step-by-step explanation: 56=34x+24 34x+24−24=56−24 34x/34=32/34/2/2

x=16/17

Answer: x = 16/17 another way to check if you're right is to go to a website that I use and type in your question I will put a picture of the website since this thing won't let me type out the website

Answer:

25 minutes

Step-by-step explanation: 20 divided by 8 equals 2.5 so she take 2 and a half minutes per question. 2.5 plus 2.5 equals 5 so just add five minutes on her original time. 25 minutes

Answer:

25 minutes

Step-by-step explanation:

→You can set this problem up as a proportion, like so:

\(\frac{8}{10} =\frac{20}{x}\)

→Cross multiply:

\(\frac{8x}{200}\)

→Divide 200 by 8:

x = 25

Answer:

No

Step-by-step explanation:

19=19 and 4.358=4.358

Step-by-step explanation:

please mark me as brainlest

It cannot be confidently stated that candidate Barton will win the upcoming senate race, despite being projected to receive 45% of the votes with a 2% lead over candidate Smith. This can be solved by the concept of Probability.

To determine the confidence level for candidate Barton's victory, we need to calculate the confidence interval for the poll results. The formula for the confidence interval is:

CI = p ± z * (sqrt(p * (1-p) / n))

where CI is the confidence interval, p is the proportion of support for candidate Barton (0.45 in this case), z is the z-score corresponding to the desired level of confidence (e.g. 1.96 for a 95% confidence level), and n is the sample size (which is not given in the question). Assuming a 95% confidence level, we can use the z-score of 1.96 and plug in the values to get:

CI = 0.45 ± 1.96 * (sqrt(0.45 * 0.55 / n))

Simplifying this expression, we get:

CI = 0.45 ± 0.03

This means that there is a 95% chance that the true proportion of support for candidate Barton falls within the range of 0.42 to 0.48. Since candidate Smith is projected to receive 43% of the votes, there is a significant overlap between the confidence intervals for both candidates, indicating that the election outcome is uncertain.

Therefore, we cannot be confident that candidate Barton will win the election

To learn more about Probability here:

brainly.com/question/11234923#

#SPJ11

This retirement planning scenario involves saving a fixed amount per year, earning a specified interest rate, and determining the final retirement account balance, lump-sum investment amount, annual withdrawal in retirement, and required interest rate for a specific savings goal. The details are as follows:

a. retirement account balance of approximately $536,144.37

b. The lump sum required would be approximately $60,319.79.

c. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d.  It would take approximately 16 years until the savings are depleted.

e. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

a. The retirement account balance on the day of retirement can be calculated by using the formula for the future value of an ordinary annuity. In this case, saving $4,500 per year for 35 years with an annual interest rate of 5.5% will result in a retirement account balance of approximately $536,144.37.

b. To achieve the same retirement savings goal with a lump-sum investment today, the present value of an ordinary annuity formula can be used. The lump sum required would be approximately $60,319.79.

c. Assuming a retirement duration of 17 years and a desire to exhaust the savings with the 17th withdrawal, the annual withdrawal can be calculated using the formula for the annuity payment. With an account balance of $536,144.37, the annual withdrawal would be approximately $46,914.90.

d. If the decision is made to withdraw $90,000 per year in retirement, the number of years until the savings are exhausted can be determined using the formula for the number of periods in an annuity. It would take approximately 16 years until the savings are depleted.

e. If the maximum affordable annual saving is $900 and the goal is to retire with $1,000,000, the required interest rate can be calculated using the formula for the rate of return. Through trial and error, it can be determined that an interest rate of approximately 10.47% is needed to achieve the desired savings goal.

These calculations provide insights into the financial aspects of retirement planning and can help individuals make informed decisions about their savings, investments, and withdrawal strategies based on their specific goals and constraints.

Learn more about rate of return here:

https://brainly.com/question/30761579

#SPJ11

Symbolically, they correspond to the relationships between the coefficients of the equations.

A system of 2 linear equations in 2 variables can have one of the following three possible solutions:

One unique solution: In this case, the two lines intersect at exactly one point, and this point is the solution to the system. Visually, the two lines are not parallel, but they are not the same either. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables.

Infinitely many solutions: In this case, the two lines coincide and are on top of each other, meaning they have the same slope and the same y-intercept. Visually, the two lines are identical. Symbolically, the system is represented as:

a1x + b1y = c1

ka1x + kb1y = kc1

where a1, b1, and c1 are constants, x and y are variables, and k is any non-zero constant.

No solution: In this case, the two lines are parallel and never intersect. Visually, the two lines are distinct and never meet. Symbolically, the system is represented as:

a1x + b1y = c1

a2x + b2y = c2

where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables, and the slope of one line is not equal to the slope of the other.

Geometrically, these cases correspond to the three possible positions of two lines in the coordinate plane. Symbolically, they correspond to the relationships between the coefficients of the equations.

Learn more about equations here:

https://brainly.com/question/29538993

#SPJ11

Answer:

In 11 seconds the elevator travels 363 feet

Step-by-step explanation:

Answer: 22 pints of water

Step-by-step explanation:

Runelle collected river water and poured in eight jars such that each jar had 2³/₄ of water.

The total amount of water collected by Runelle from the river will therefore be the sum of all the water in the 8 jars and because they are the same, we can simply multiply the quantity in one jar by 8 to see the sum:

= Amount of water in one jar * 8 jars

= 2³/₄  * 8

= 11/4 * 8

= 22 pints of water

Answer:

Step-by-step explanation:

its 100%

4) The perimeter and area of the two triangles are:
a)
perimeter = 33.12
area = 42.44

b)
a) perimeter = 30.76
b) area = 36.59

5)

a) The area and perimeter of the regular hexagon with side 6 inches are 93.53in² and 36in respectively.
B) The area of the regular hexagon with side 8 inches is:

b) the perimeter of the regular hexagon is 36 inches and the area is approximately 93.53In²

6)
a) the area of the circle whose radius is 10 units is 314 square units and its circumference is 62.8 units.
b) the area of the circle whose radius is 12 units is 452.16 square units and its circumference  is 75.36 units.
c) the area of the circle whose radius is 4 units is approximately 50.27 square units, while it's circumference is 25.13 units.
d) the area of the circle whose radius is 4 units is approximately 804.25 square units., while it's circumference is 100.53 units.

Note that the perimeter of a Right Angled Triangle is derived using the following formula:

P = a + b + c

Where a is the adjacent leg and
b is the opposite side.

Since we have a = 7 and α = 30°, we can derive b as follows:

first, deriving c,

c = a/sin(α)
c = 7/sin(30°)

c= 14


b = √(c² - a²)

= √142 - 72

= √147

= 12.12436

perimeter = a + b + c

= 7 + 12.124355652982 + 14

= 33.12

area = a × b /2

= (7 × 12.124355652982)/ 2

= 42.44



b) In the case of right triangle in b, we are given the hypotenuse (c) we need to solve for a and b.

a = c × sin(α)
a = 13 × sin(30°)

a = 6.5

b = √(c² - a²)

= √132 - 6.52

= √126.75

b = 11.26

Hence the perimeter (p) is:

perimeter = a + b + c

= 6.5 + 11.258330249198 + 13

p = 30.76

Area

area =

(a × b)/2

= (6.5 × 11.258330249198) / 2

Area  = 36.59


5) Solving for the Area and Perimeter of the hexagons:

a) A regular hexagon is a six-sided polygon with all sides of equal length and all angles of equal measure. To find the area and perimeter of a regular hexagon with a side length of 6 inches, we can use the following formulas:

Perimeter of a regular hexagon = 6 × length of one side

Area of a regular hexagon = (3√3/2) × (length of one side)²

Substituting the given values:

Perimeter = 6 × 6 inches = 36 inches

Area = (3√3/2) × (6 inches)² ≈ 93.53 square inches

b)
Using the same method above, we find that:

the perimeter of the regular hexagon is 48 inches, while:
the area is approximately 221.76 square inches


6)

a) Note the the triangle formed whose center is 60° is an equilateral triangle. We know this because there are three angles in a triangle, if two radii from the vertex share the same center share, then we have two equal sides. This also mean the third side (chord) is equal to the radius.

Hence, Since we know the chord = radii = 10 inches,

we can use the following formulas to find its area and circumference:

Area of a circle = π × (radius)²

Circumference of a circle = 2 × π × radius

Substituting the value of radius as 10 units and using the approximate value of π as 3.14, we get:

Area of circle = 3.14 × (10 units)^2 = 314 square units

Circumference of circle = 2 × 3.14 × 10 units = 62.8 units

Therefore, the area of the circle is 314 square units and the circumference of the circle is 62.8 units.


b) This is quite different from (a) above. In this case, we are given a right angle triangle whose base is 2 inches. We are tasked with finding the hypotenuse if we must find the area and Circumference  of circle. Note that the Hypotenuse =  radius of the circle.

To find the Hypotenuse which we will call (c) we will use the sine trigonometry rule: Sin (θ) = Opp/Hyp

Recall that Hyp = c
Opp = 2 inches
θ or α = 30°

Thus,

c = 2/Sin(30°)

c = 2/0.5
c= 4

Now that we have the Radius:

Recall that the formula for the area of a circle is:

A = πr²

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14159.

If the radius of the circle is 4 units, then:

A = π(4)²

A = 16π

A ≈ 50.27 square units

So the area of the circle is approximately 50.27 square units.

The formula for the circumference of a circle is:

C = 2πr

where r is the radius of the circle and π is again the mathematical constant approximately equal to 3.14159.

If the radius of the circle is 4 units, then:

C = 2π(4)

C = 8π

C ≈ 25.13 units

So the circumference of the circle is approximately 25.13 units.


c)  The area of the circle whose radius is 4 units is approximately 50.27 square units, while it's circumference is 25.13 units. To see how we solved for the above values, mirror 6(a) above.

d) The area of the circle whose radius is 4 units is approximately 804.25 square units., while it's circumference is 100.53 units.  To see how we solved for the above values, mirror 6(b) above.

Learn more about triangles and Circles at:

https://brainly.com/question/30069772

#SPJ1

Answer:

.687

Step-by-step explanation:

six hundred eighty-seven thousandths is 687/1000, or .687.

Answer:

A

Step-by-step explanation:

The sum of the angle measures of the polygon is 540°, the value of x is 5.

The sum of the angle measures of the polygon is 540°.

We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180°. = 3× 180°= 540°

If a polygon has x sides, then the sum of its angle measures can be found using the formula:

Therefore, for a polygon with x sides, the equation becomes:

⇒(x-2) * 180° = 540°

Solving for x, we get:

⇒x = (540° + 360°) / 180° + 2

⇒x = 3 + 2

⇒x = 5

So, the polygon has 5 sides.

Therefore, the value of  x is 5.

For more such questions on sum of angle measures

https://brainly.com/question/21084026

#SPJ4

Answer:

Katrina would need to buy 20 sweatshirts.

Step-by-step explanation:

The number of sweatshirts Katrina would need to order from  each company can be determined by forming the linear equation in two variables.

Given :

Let the number of sweatshirts orders from company MH Designs be 'x' and the number of sweatshirts orders from company Print Rich be 'y'.

So, the cost for ordering the sweatshirt from the company MH Design is:

\(21.50x = c\)

Now, the cost for ordering the sweatshirt from the company Print Rich is:

18y + 70 = c'

Given that the number of sweatshirts Katrina would need to order from  each company for the costs to be the same. So :

21.5x = 18y + 70

Now, put the value of x and y so, that in the above equation, both sides become equal.

For more information, refer to the link given below:

https://brainly.com/question/2263981

Answer:

117

Step-by-step explanation:

Given the expression

r³ - 2s ← substitute given values into the expression

= 5³ - 2(4)

= 125 - 8

= 117

The area between -2 and 2 is approximately 0.9545. Therefore, the percentage of times between 2 and 4 hours is 95%.

To find the percentage of times between 2 and 4 hours, we need to first standardize the values using the formula z = (x - mu) / sigma, where x is the value we are interested in (2 and 4), mu is the mean (3), and sigma is the standard deviation (0.5).

For 2 hours: z = \(\frac{(2 - 3)}{0.5}\) = -2

For 4 hours: z =\(\frac{(4 - 3)}{0.5}\) = 2


Next, we can use a standard normal distribution table or calculator to find the area under the curve between -2 and 2. This area represents the percentage of times between 2 and 4 hours.

According to the table, the area between -2 and 2 is approximately 0.9545. Therefore, the percentage of times between 2 and 4 hours is 95%.

So the answer is: 95%.

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ11

False. Marginal distributions describe the distribution of each variable separately, without considering any relationship between them.

Comparing the marginal distributions of two variables cannot determine whether the variables are related. Marginal distributions show the distribution of each variable separately and do not consider the relationship between them. To determine whether two variables are related, it is necessary to examine their joint distribution. This can be done through a scatter plot, which displays the relationship between the variables graphically, or through a correlation coefficient, which measures the strength and direction of the linear relationship between the variables. Therefore, comparing marginal distributions alone is not sufficient to determine whether two variables are related.

Learn more about marginal distributions here: brainly.com/question/14310262

#SPJ4

65 x²-26 x function represents the total number of seats. A function is an association between a bunch of information that each has one outcome.

A function is a relationship between a group of inputs that each have one output. A function. It is a connection between information in which each information is associated with only one outcome.

The function is found by the multiplication of the number of rows and the number of seats per row.

\(\rm f(x) \times g(x)\\\\ 13x \times (5x-2) \\\\ 65 x^2-26x\)

Hence 65 x²-26 x function represents the total number of seats.

To learn more about the function refer to the link;

https://brainly.com/question/5245372

Answer:

d

Step-by-step explanation:

edge 2022

In a two-tailed test, the null hypothesis should be rejected when the test value falls into either of the two critical regions.

A two-tailed test is used when we are interested in determining if there is a significant difference between the sample data and the hypothesized population parameter in either direction. It allows for the possibility of a difference in either direction, rather than focusing on a specific direction of difference.

When conducting a hypothesis test, we set up the null hypothesis (H0) and the alternative hypothesis (Ha). The null hypothesis represents the status quo or the hypothesis of no difference, while the alternative hypothesis represents the hypothesis we are testing for a significant difference.

In a two-tailed test, we divide the significance level (α) equally between the two critical regions, which are the rejection regions. These regions are located in both tails of the distribution. The critical values that define these regions are determined based on the desired level of significance and the distribution of the test statistic.

If the calculated test statistic falls into either of the two critical regions, it means that the observed data is statistically significant and we reject the null hypothesis. This suggests that there is evidence to support the alternative hypothesis and that there is a significant difference between the sample data and the hypothesized population parameter, regardless of the direction of the difference.

In summary, in a two-tailed test, the null hypothesis should be rejected when the test value is in either of the two critical regions, indicating a statistically significant difference between the sample data and the hypothesized population parameter.

learn more about null hypothesis here

https://brainly.com/question/30821298

#SPJ11

Answer:

-------------------

Given three interior angle measures of a triangle:

Use the triangle sum theorem to find the missing angle:

So the missing angle is 67°.

Pull 4 4/5ths apart - now it is 4 and 4/5ths. Divide both by four - 4/4 = 1, 4/5 / 4 = 1/5th

Now add your answers together;

1 1/5

Given :

Total apartments 1044 .

Increase in apartments , 8.1 % .

To Find :

How many apartments were there in Baldwin County last year.

Solution :

Let , amount of apartments last year is x .

So ,

\(\dfrac{1044-x}{x}\times 100=8.1\\\\(1044-x)\times 100=8.1x\\\\104400-100x=8.1x\\\\108.1x=104400\\\\x=\dfrac{104400}{108.1}\\\\x=965\)

Hence , this is the required solution .

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

The percent by volume of the resulting solution is 10L by 93 percent

The resulting solution = sum of the volumes of both solutions

Resulting solution = 6L × 33 percent + 4L × 60 percent

Resulting solution = 10 L × 93 percent

This is so because both solutions add up to form the resulting solution

Thus, the percent by volume of the resulting solution is 10L by 93 percent

Learn more about equivalent ratio here:

https://brainly.com/question/2328454

#SPJ1

Answer:

D

Step-by-step explanation:

Plugged into my TI calculator and made two lists. Then calculated linear regression model which resulted in answer D. Hope this helps

Answer:

2m-17

Step-by-step explanation:

-20+1/4(8m+12)

-20+2m+3

2m-20+3

2m-17

the answer is -20+ (8m+12/4)

Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

know more about integer variables here

https://brainly.com/question/27855584#

#SPJ11