the sum of 8 and a number

Answer:

6

Step-by-step explanation:

Trust me it is

The value of the segment RS will be equal to 6 units.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that point, S is on line segment {RT} and ST=2 and RT=8. The length of the segment RS will be calculated as below:-

RT is the total length and the sum of RS and ST. The expression can be written as:-

RS = RT - ST

RS = 8 - 2

RS = 6

Therefore, the value of the segment RS will be equal to 6 units.

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

Answer:

-15

Step-by-step explanation:

since there's a difference of 50 between 35 and 85, there'll be a difference of 50 between X and 35 too.

The measures of central tendency and measures of dispersion are complementary to each other and provide a complete description of the data distribution.

Measures of central tendency and measures of dispersion are complementary to each other while describing and analyzing a given set of data. Measures of central tendency describe the central location of the data distribution, whereas measures of dispersion describe the degree of variability in the data distribution. The measures of central tendency are the mean, median, and mode, which provide an indication of the location of the center of the data.

On the other hand, measures of dispersion include the range, variance, standard deviation, and interquartile range, which provide an indication of the spread of the data from the center. Measures of central tendency and measures of dispersion work together to give a complete description of the data distribution.

If we only describe the central tendency of the data, we would miss out on important information about the variability of the data.

Likewise, if we only describe the dispersion of the data, we would miss out on information about the location of the center of the data distribution.

Know more about measures here:

https://brainly.com/question/29418137

#SPJ11

Answer:

$3.90

Step-by-step explanation:

2 1/2 pounds = 2.5 pounds

To determine the price per pound, divide $9.75 by 2.5:

\(\sf \dfrac{9.75}{2.5}=3.9\)

Therefore, the price per pound was $3.90

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

For similar question on recursive formula.

https://brainly.com/question/31157431  

#SPJ8

Answer: 3 Jars

Step-by-step explanation:

Given

A batch of peanut butter cookies requires \(\frac{3}{4}\) of a jar

For 3 batches of Cookies, No of Jars required

\(\Rightarrow 3\times \dfrac{3}{4}=\dfrac{9}{4}\\\\\Rightarrow \dfrac{9}{4}=2+\dfrac{1}{4}\)

That is 2 complete Jar and one-fourth of third. In totality, it would be 3

jars.

Answer:

2 LINES OF SYMMETRY

Step-by-step explanation:

Answer:

3 divided by 12 = 4

4 divided by 2 = 2

so 2 cups of 2

= 4 cups :D

Step-by-step explanation:

The missing number in the sequence is 64

From the question, we have the following parameters that can be used in our computation:

1, 4, 16, ____, 256, 1024, ...​

Using the above as a guide, we have the following:

To obtain the next term, we can multiply the previous term by 4:

So, we have

Next term = 16 * 4

Next term = 64

Therefore, the next term in the sequence is 64.

The completed sequence is: 1, 4, 16, 64, 256, 1024, ...

Read more about sequence

https://brainly.com/question/29431864

#SPJ1

Explanation

the length of an arc is given by:

where r is the radius and theta is the angle

then

Step 1

Let

radius=13

angle=68

replace

I hope this helps you

Answer: about 3 1/2

according to my calculations, if Im wrong then shoot me in the nuts

Step-by-step explanation:

Answer:

0.5 probability

Step-by-step explanation:

1/6+1/6+1/6= 0.5

The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

To learn more about probability click here, brainly.com/question/31828911

#SPJ11

Answer:

The probability that a player selected at random does not bat left-handed is 20%.

Step-by-step explanation:

Assume that there are a total of 100 baseball players at an elite baseball camp.

The information provided is:

That is, the number of players can bat both right-handed and left-handed is,

n (L and R) = 60.

Now, if 25% of the players who bat left-handed do not bat right-handed, then 75% of all left-handed players can also bat right-handed.

⇒ n (L and R) = n (L) × 75%

            60     = n (L) × 0.75

           n (L)    =  60/0.75

           n (L)    = 80

So there are 80 left handed batters.

Compute the number of only left handed batters as follows:

n (Only L) = n (L) × 25%

                = 80 × 0.25

                = 20

So there are 20 only left handed batters.

Compute the number of only right handed batters as follows:

Total = n (Only L) + n (Only R) + n (L and R)

 100 = 20 + n (Only R) + 60

n (Only R) = 20

Thus, the probability that a player selected at random does not bat left-handed is 20%.

Using proportions, the correct option regarding which option is the better deal is given by:

B. The 6-ounce bottle is the better deal because the cost per ounce is of $0.48 per ounce while the 14-ounce bottle has a cost of $0.83 per ounce.

In this problem, we have to find the costs per ounce, which is the cost divided by the number of ounces, hence representing a proportion and given as follows:

Hence the correct option is:

B. The 6-ounce bottle is the better deal because the cost per ounce is of $0.48 per ounce while the 14-ounce bottle has a cost of $0.83 per ounce.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The slope of a straight line is 1, the y- intercept is -7, the equation is

y= x-7.

Slope is a mathematical concept that refers to the measure of how steep or inclined a line is. It is a measure of the rate of change of a line, representing the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.

To find the slope and y-intercept of a line, we can use the two-point form of the equation of a straight line:

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

y-intercept = y1 - slope * x1

Using the given coordinates (8,1) and (-1,-8), we can calculate the slope as:

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

= (-8 - 1) / (-1 - 8)

= -9 / -9

= 1

To find the y-intercept, we can use one of the two points and the slope. Let's use the point (8,1):

y-intercept = y1 - slope * x1

= 1 - 1 * 8

= -7

Therefore, the equation of the line in slope-intercept form is:

y = mx + b

where m is the slope (-1) and b is the y-intercept (-7):

y = 1x - 7

or

y = x - 7

Alternatively, we can use point-slope form of the equation of the straight line:

y - y1 = m(x - x1)

Using point (8,1) and the slope (1), we can write:

y - 1 = 1(x - 8)

Simplifying, we get:

y - 1 = x - 8

y = x - 7

This is the same equation we obtained in slope-intercept form above.

To know more about equation visit:

https://brainly.com/question/12788590

#SPJ1

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

Learn more about interval notation here:

https://brainly.com/question/10878781

#SPJ4

The journaliztion of the  the adjusting entries needed for the previous items affecting Laughter Landscaping on December 31 is made.

To journalize the adjusting entries needed on December 31 for the previous items affecting Laughter Landscaping, you would make the following entries:

b. DR Insurance Expense, $4,500
  CR Prepaid Insurance, $4,500

c. DR Office Supplies Expense, $6,800
  CR Office Supplies, $6,800

d. DR Unearned Revenue, $4,200
  CR Service Revenue, $4,200

c. DR Accounts Receivable, $3,000
  CR Service Revenue, $3,000

f. DR Depreciation Expense - Equipment, $3,700
    CR Accumulated Depreciation - Equipment, $3,700

  DR Depreciation Expense - Trucks, $1,300
    CR Accumulated Depreciation - Trucks, $1,300

g. DR Interest Expense, $300
  CR Interest Payable, $300

know more about the Accounts Receivable

https://brainly.com/question/24871345

#SPJ11

a. The table value of z 0.99 is given as 2.58.

b. we use σ = 2.30 minutes.

c. The value of Z is given as 0.609.

d. The confidence interval is (23.391, 24.609) minutes.

a) To find the z-score for a 0.99 confidence interval, we need to find the z-score that leaves 0.5% (since it's two-tailed, we split the 1% or 0.01 of the data that's not within the confidence interval into two) in each tail. The z-score for 0.995 (0.5% in the upper tail) is approximately 2.58 in standard normal distribution tables. So, Z_0.99 is 2.58.

b) Therefore, we use σ = 2.30 minutes.

c) The standard error of the mean (SE) is given by σ/√n, where n is the sample size.

Here, σ = 2.30 minutes and n = 95.

Therefore, SE = σ/√n

= 2.30/√95

= 0.236 minutes.

Multiply this by the z-score to find Z * σ/√n.

Therefore, Z * σ/√n = 2.58 * 0.236 ≈ 0.609.

d) The 0.99 confidence interval for μ

Here, x is the sample mean which is 24 minutes.

So the confidence interval is approximately

= (24 - 0.609, 24 + 0.609)  

= (23.391, 24.609) minutes.

This is the range of values we are 99% confident that the true population mean (μ) falls in.

Read more on Z critical here:https://brainly.com/question/14040224

#SPJ4

By definition two quantities are proportional of each other if it can be express like:

where k is the constant of proportionality.

Now, by definition a line is a set of points that have the same rate of change between them, no matter which points we take.

Thus we can argue that a line always have a constant rate but they don't necessarily represent proportional quantities.

Answer:

13

Step-by-step explanation:

13x75000=975000

Check for reasonableness...

975000/75000=13

So the answer is 13 gallons.

P.S. There will still be 25,000 drops left, which is 1/3 of a gallon.

Let's solve the following equation to see where Maya made a mistake:

2 (3x + 6) = 3 (x - 10)

Step 1: Solving parenthesis

6x + 12 = 3x - 30

Step 2: Like terms

6x - 3x = -30 - 12

Step 3: Complete the subtractions at both sides

3x = -42

Step 4: Dividing by 3 at both sides

3x/3 = -42/3

x = -14

Maya didn't multiply correctly 3 * - 10

Yes, Javionery, option B is the correct one.

Answer:

r= -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of triangle with angle of 30°:

\(A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25\)

Area of triangle with angle of 50°:

\(A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575\)

Area of the rest of the figure:

\(A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087\)

Therefore:

                  \(A=A_1+A_2+A_3=6.25+9.575+61.087=76.912\)

We replace x with (a+1).

f(a+1) = 3(a+1) +1 = 3a +4

Answer:

its number 1

Step-by-step explanation:

it number 1

The vertex form of the equation of the parabola is:

r = (1/24)(y - 1)^2 + 3

Since the directrix is a horizontal line, the axis of the parabola is vertical. Therefore, the vertex form of the equation of the parabola is:

r = a(y - k)^2 + h

where (h, k) is the vertex of the parabola and "a" is a constant that determines the shape and orientation of the parabola.

Since the focus is (3,-5), the vertex of the parabola is halfway between the focus and the directrix. The directrix is 6 units above the vertex, so the vertex is (3,1).

We can use this information to write the vertex form of the equation:

r = a(y - 1)^2 + 3

To find the value of "a", we need to use the distance formula between the vertex and the focus:

distance = |y-coordinate of focus - y-coordinate of vertex| = 6

| -5 - 1 | = |-6| = 6

Using the definition of the parabola, the distance from the vertex to the focus is also equal to 1/(4a). Therefore:

1/(4a) = 6

a = 1/(4*6) = 1/24

Substituting this value of "a" into the vertex form equation, we get:

r = (1/24)(y - 1)^2 + 3

Therefore, the vertex form of the equation of the parabola is:

r = (1/24)(y - 1)^2 + 3

To know more about parabola , refer here :

https://brainly.com/question/11911877#

#SPJ11

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The correct choice is b because \(a_{1}\) is -8 so that means that the sequence starts with a -8 so that immediately eliminates c and d. Then the d=8 that means it will increase by 8, since it's a positive 8. If it was a -8 it will decrease 8.

In regression analysis, the total sum of squares (SST) is calculated as the sum of squares for regression (SSR) and sum of squares for error (SSE).  The value of R² is 0.66.

The total sum of squares (SST) is the variation that can be accounted for in a model. R-squared (R²) is used to indicate how much variation in the response variable is explained by the regression model.

A formula for R² is provided below.\(R² = SSR/SST\)

On the other hand, if the residual sum of squares (SSR) in a regression analysis is 66 and the explained sum of squares (SSE) is equal to 34, the total sum of squares (SST) can be calculated as:

SST = SSR + SSE

= 66 + 34

= 100R² can be calculated by using the equation provided below.

R² = SSR/SST

= 66/100

= 0.66

Therefore, the value of R² is 0.66.

To learn more about regression visit;

https://brainly.com/question/32505018

#SPJ11