-4 1/5 minus (-13 1/10)

Answer:

Step-by-step explanation: 7 b  and d8

In the class, Lucy's score is 6.

In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.

The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.

Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.

Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:

2 + 2 + 4 + 7 = 15

Thus, the the corresponding score at the 15th position is 6.

Therefore, the median score is 6 and consequently Lucy's score is 6.

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The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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The equation of the line in slope-intercept form is y = 2x + 4

What is slope how to solve slope equation ?

Slope is a measure of the steepness of a line. It is defined as the ratio of the change in y-coordinates to the change in x-coordinates between any two points on the line. Slope is denoted by the letter m.

The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line.

To solve for the slope of a line given two points, you can simply plug in the coordinates into the slope formula and simplify.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 2, so we have:

y = 2x + b

To find the value of b, we can use the fact that the line passes through the point (2, 8). Substituting these values into the equation, we get:

8 = 2(2) + b

Simplifying the right-hand side, we get:

8 = 4 + b

Subtracting 4 from both sides, we get:

b = 4

So the equation of the line in slope-intercept form is:

y = 2x + 4

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We can say that the tree's height increased by 12.5% over the course of the six-week experiment.

To calculate the percent increase in the tree's height, we need to find the difference between its new height and its old height, and then express that difference as a percentage of the old height.

We start with the formula:

percent increase = (new value - old value) / old value * 100%

In this case, the old value is the height of the tree at the beginning of the experiment, which is 32 inches. The new value is the height of the tree six weeks later, which is 36 inches.

So, plugging in those values, we get:

percent increase = (36 - 32) / 32 * 100%

Simplifying this expression gives us:

percent increase = 4 / 32 * 100%

And when we evaluate that expression, we get:

percent increase = 12.5%

Therefore, the percent increase in the tree's height is 12.5%.

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Answer: -19

Step-by-step explanation:

n=number

6n+1=-113

6n=-114

n=-19

Answer is in the file below

tinyurl.com/wpazsebu

Answer: it is b i am sure it is

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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The value k of the exponential growth rate will be 0.045.

Given that:

$228 in 1975

$472 in 1986

Let 'x' be the number of years and 'y' be the selling price. Then the equations are given as,

\(\rm 288 = P_o \times e^{k *1975} \ \ \ \ \ \ ...(1)\\\\\rm 472 = P_o \times e^{k *1986} \ \ \ \ \ \ ...(2)\)

From equations (1) and (2), then

\(e^{k(1986 - 1975)} = \dfrac{472}{288}\\\\e^{k(1986 - 1975)} = 1.63889\)

Take log on both sides, then

k x (11) = ln 1.63889

k = 0.494/11

k = 0.045

The value k of the exponential growth rate will be 0.045.

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Answer:

The Texas secretary of state’s office reported a tally of 9,669,246 votes for early voting Saturday morning, as some county data continued to trickle in. This year’s turnout for early voting alone exceeded the state’s entire turnout of 8,969,226 in 2016, when the state voted for Donald Trump with a margin of 9 percentage points.

In 2016, turnout for registered voters in Texas was 59.4%, lending credence to its reputation for low turnout. With current early voting totals, the state has already hit 57% turnout, and more than half of registered voters have voted in 128 of the state’s 254 counties. In 29 Texas counties, there was a 60% turnout or better.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The data set is:

Number of elements:

Size of each quarter, discounting the median:

Maximum of the lowest quarter:

All the elements of the lower quarter:

The maximum value of the lower quartile of the uniform distribution is of 26.

The uniform distribution is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.

In the context of this problem, the bounds of the distribution are given as follows:

a = 20, b = 44.

The probability of finding a value of at lower than x is:

P(X < x) = (x - a)/(b - a).

Hence:

P(X < x) = (x - 20)/24.

The lower quartile is the 25th percentile of the distribution, which is the value of x for which:

P(X < x) = 0.25.

Hence this value has the measure given as follows:

0.25 = (x - 20)/24.

x - 20 = 0.25 x 24

x - 20 = 6

x = 20 + 6

x = 26.

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Answer:

0.105 = 10.5% probability that an accident results in a death.

Step-by-step explanation:

What is the probability that an accident results in a death?

5% of 60%(sunny)

25% of 20%(foggy)

12.5% of 20%(rainy)

So

\(p = 0.05*0.6 + 0.25*0.2 + 0.125*0.2 = 0.105\)

0.105 = 10.5% probability that an accident results in a death.

The probability that an accident results in a death is 0.105 = 10.5%

Given :

25% of accidents in foggy conditions result in death.

12.5% of accidents in rainy conditions result in death

5% of accidents in sunny conditions result in death

"Probability"

The probability that an accident results in a death

Probability =0.05*0.6+0.25*0.2+0.125*0.2

Probability =0.105

Probability =10.5%

The probability that an accident results in a death is 10.5%.

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The equation of the line is y = x.

To find the equation of a line given its graph, you need to follow the steps below.

Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.

Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.

Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.

Example:Let's say you are given the graph of a line below: .

Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.

Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.

Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.

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The graph of the quadratic function is on the image at the end.

Here we want to graph the quadratic function:

f(x) = -x² - 2

To do so, we can complete the table of values by evaluating the function.

if x = ±2 then:

f(±2) = -(±2)² - 2 = -4 - 2 = -6

if x =  ±1

f(±1) = -(±1)² - 2 = -1 - 2 = -3

if x = 0

f(0) = -(0)² - 2 =  - 2 = -2

Then we have the points:

(-2, -6), (-1, -3), (0, -2), (1, -3), (2, -6)

Now just graph these points and connect them with a curve. The graph of the parabola is below.

Answer:

\(f=278\)

Step-by-step explanation:

\(f-81=197\)

Add 81 to both sides:

\(f-81+81=197+81\)

\(f=278\)

Solution:

Given that;

Subtract 1010 from 1001 in binary

Converting from binary to base ten (decimal value)

Subtracting the numbers

In binary,

Hence, the answer is 1

Step-by-step explanation:

How many mushrooms did she gather every hour, if she gathered 7 more mushrooms in the second hour than in the first hour, and 6 more in the third hour than in the first hour? = 8.

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

41 days

Step-by-step explanation:

In order to solve this you can count or you can create an equation based on the formula y = mx + b.

By doing this you will be able to save yourself time

y - total number of seconds

x - total number of days

m - how much is increased per day

b - initial value

Based on this information you can create the equation below & solve

49 = x + 8

41 = x

Therefore the answer is 41 days

Answer:

The normal overlaps with the diameter, so it passes through the center.

Let's find the center of the circle:

The center is:

Since the line passes through (-g, -f) the equation of the line becomes:

This is the required condition

Rewrite equations and find centers and radius of both circles.

Circle 1

Circle 2

The distance between two centers is same as sum of the radius of them:

Sum of radiuses:

Since they are same we have:

Square both sides:

Square both sides:

Divide both sides by a²b²c²:

Proved

Answer:

Answer is in the picture

Answer:

0.138889

Step-by-step explanation:

formula is to divide by 144

which first you multiply 5×4 which gives you 20

therefore 20÷144

=0.138889

Answer:

Step-by-step explanation:

scale is one inch on the drawing is 20 inches in real life.

the dimensions will be

4(20) = 80 inches

80/12 =  6⅔ ft.

by

5(20) = 100 inches.

100/12 = 8⅓ ft.

\(A = 6\frac{2}{3}(8\frac{1}{3}) = 55\frac{5}{9} ft^2\)

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

Answer:

Marina's age = 12

Her father's age = 48

triple Marina's age = 12x3

= 36

The age of Marina's sister

= 48-36

= 12

Therefore, Marina's sister's age is 12

Answer:

no

Step-by-step explanation:

Given:

Numbers on a dice = 6

Suppose you roll a pair of the dice and add their totals, let's find the probability that the sum of the numbers is a prime number of a number greater than 5.

Where:

Possible outcomes when two dice are tossed =

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6) = 36 outcomes

Possible sum is prime:

(1,1 = 2), (1,2 = 3), (1,4 = 5), (1,6 = 7), (2,1 =3), (2,3 = 5), (2,5 = 7), (3,2 = 5), (3,4 = 7), (4,1= 5), (4,3 = 7), (5,2 = 7), (5,6 = 11), (6,1 = 7), (6,5 = 11) = 15 outcomes

P(sum is greater than 5):

[1][5], [1][6], [2][4], [2][5], [2][6], [3][3], [3][4], [3][5], [3][6],[4][2], [4][3], [4][4], [4][5], [4][6],[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],[6][1], [6][2], [6][3], [6][4], [6][5], [6][6]. ==> 26 outcomes

Here, we can see some numbers are repeating, so we will count them once.

(6, 5), (6, 1), ((5, 6), (5, 2), (4, 3), (3, 4), (2, 5)

= 26 - 7 = 19

Thus, we have:

probability that the sum of the numbers on your dice is a prime number or a number greater than =

ANSWER:

17/18

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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