HELP WITH MATH TEST

Variable p is 2 less than variable d. Variable p is also 1 more than variable d. Which pair of equations best models the relationship between p and d? (5 points)

a
p = d + 2
p = d − 1

b
p = d − 2
p = d + 1

c
d = 2p
d = 2p − 1

d
d = 2p
d = 2p + 1

The mean value of the given data set is 31.333. To find the mean value of the given data set (10, 10, 20, 26, 30, X), we first need to determine the missing value, denoted as X, using the given range of 40.

Since the range is the difference between the maximum and minimum values, we can set up the equation:

Maximum value - Minimum value = Range

X - 10 = 40

Solving for X, we find X = 50.

Now that we have the complete data set (10, 10, 20, 26, 30, 50), we can calculate the mean. Summing up all the values and dividing by the total number of values (6), we find the mean to be 31.333 (rounded to three decimal places).

In conclusion, the mean value of the given data set is 31.333.

Learn more about calculating the mean here: brainly.com/question/30891252

#SPJ11

Sam can jump 4 steps at a time and Nina can jump 5 steps at a time. on 20th of the steps will both meet if both start jumping together. we can find it out with the help of HCM and LCM

GIVEN

Sam can jump four steps at a time and Nina can jump five steps at a time.

TO DETERMINE

On which of the steps will both meet if both start jumping together

EVALUATION

Here it is given that Sam can jump 4 steps at a time and Nina can jump 5 steps at a time.

Now we find the LCM of 4 and 5

Since 4 and 5 are prime to each other

So LCM of 4 and 5 = 4 × 5 = 20

Hence after 20 steps both meet if both start jumping together

Learn more from Brainly LCM and HCF :-

brainly.com/question/14579049

#SPJ4

Answer:

54 cookies

Step-by-step explanation:

seven dozen means 7 * 12 cookies

because one dozen = 12 cookies, so having seven dozen means have seven, one dozen batches

seven dozen = 7*12 = 84 cookies

she already made 138

138 - 84 cookies = 54 cookies left to go

54 cookies

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we are given sides a = 10 and b = 12, and we need to find the missing side c.

Using the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values:

c^2 = 10^2 + 12^2

c^2 = 100 + 144

c^2 = 244

Taking the square root of both sides to solve for c:

c = √244

c ≈ 15.62

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

Learn more about triangle from

https://brainly.com/question/17335144

#SPJ11

Answer:

ASA

Step-by-step explanation:

the angles of the vertex are vertical angles, so they are congruent.

We have a congruent side between two congruent angles

Answer:

1. 25

2. 24

equations below

Step-by-step explanation:

Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction

1. 5 x (20/4)

normally we multiply before we divide, but in this case, the division is in parentheses, so we start there

= 5 x 5

then multiply

= 25

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

2. The lovely land of exponents

6^2 (the only way I can type 6 squared, or 6 to the power of 2, where the 2 is up as a superscript)

6^2 - 2 x 6

PEMDAS has us do the exponents before multiplication or subtraction:

6^2 = 6 x 6 = 36

= 36 - 2 x 6

then multiply:

= 36 - 12

then subtract:

= 24

There are 1260 number of ways in which the team manager can split the team of 9 engineers into three groups of 4, 3, and 2 engineers respectively, with each engineer in exactly one team.

To determine the number of ways the team manager can split the team of 9 engineers into three groups of 4, 3, and 2 engineers respectively, we can use the concept of combinations.

The combination formula:

\(\[ C(n, r) = \frac{{n!}}{{r!(n-r)!}} \]\)

where n is the total number of engineers and r is the number of engineers to be selected

First, let's select the group of 4 engineers.

We need to choose 4 engineers out of the 9 available. The number of ways to do this can be calculated using the combination formula as:

\(\[C(9, 4) = \frac{{9!}}{{4!(9-4)!}}\)

\(= \frac{{9!}}{{4!5!}}\)

\(= \frac{{9 \times 8 \times 7 \times 6}}{{4 \times 3 \times 2 \times 1}}\)

= 126

So, there are 126 ways to select a group of 4 engineers from the team of 9.

Next, let's select the group of 3 engineers.

We need to choose 3 engineers from the remaining 5. Using the combination formula again, we have:

\(\[ C(5, 3) = \frac{{5!}}{{3!(5-3)!}} \\\)

\(= \frac{{5!}}{{3!2!}} \\\)

\(= \frac{{5 \cdot 4}}{{2 \cdot 1}}\)

= 10

There are 10 ways to select a group of 3 engineers from the remaining 5.

Finally, we assign the remaining 2 engineers to the last group.

To obtain the total number of ways the team manager can split the team, we multiply the number of ways for each step:

Total ways = 126 * 10 * 1

          = 1260

To know more about combination refer here:

https://brainly.com/question/33890198#

#SPJ11

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

\(\\ \sf\longmapsto (3/7)2\div (9/7)0\)

\(\\ \sf\longmapsto (3/7)2\div 0\)

\(\\ \sf\longmapsto \infty\)

Now

\(\\ \sf\longmapsto \dfrac{b}{a}=\dfrac{1}{\infty}=0\)

\(\\ \sf\longmapsto (\dfrac{b}{a})^2=0^2=0\)

Answer:

1: Line symmetry. (You can fold the shape in half and the lines match up exactly to be the exact same shape)

According to the given information, the perimeter of the swimming pool is 94. Let l and w be the length and width of the pool, the perimeter is represented by the following equation:

Also, it is given that the l is two feet more than w:

Use the second equation and replace l in the first equation for this expression, then, solve for w:

Use the second equation to find l:

It means that the length of the pool is 24.5 and the width is 22.5.

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

To know more about outlier refer here:

https://brainly.com/question/26958242#

#SPJ11

Answer:

I think with both plans it costs $45 for 3 hours of tutoring.

Step-by-step explanation:

Answer: Both plans, 45$, 3 hours

Step-by-step explanation:

The intersection is the set of coordinates where both functions equal each other. On this specific graph, at 3 hours of work time, both businesses pay a total of 45$.

With both plans it costs 45$ for 3 hours of tutoring

Answer:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Step-by-step explanation:

The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio

Answer:

a) t²- 4x + 4

b) 9y² - 4z

c) 10290v

Step-by-step explanation:

a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc

c) a × bx = abx

The average speed of his horse have been, to the nearest tenth of a mile

per hour is 25.4

Given:

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington.

Without any break, her would traveled 11 miles in 26 minutes.

So, the distance = 11 miles

and the time taken = 26 minutes

We know that, the speed is calculated using the formula,

distance = speed x times

Here, let us consider the speed is S.

And, the speed is needed in miles per hour, we convert 26 minutes to hour by dividing 26 by 60.

That is, 26/60 = 13/30 hours

So, when we apply the values we get the expression as,

11 = S x 13/30

S =  11 / (13/30)

S = 25.4

To  know more about Distance and Speed Problems here

https://brainly.com/question/12759408

#SPJ4

Answer:

Let's break down the given information.

Car A

Speed - 30 mph

Hence the distance traveled per minute would 30/60 mph which is 0.5 Miles every minute.

Car B

Speed - 36 mph

The distance traveled per minute would 36/60 mph which is 0.6 Miles every minute.

Initial distance between the cars is 10 Miles

Car A travels 1 miles in 2 minutes and Car B travels 1.2 miles in 2 minutes.

Hence to calculate the distance between the 2 cars we need to calculate

Initial distance - Distance travelled by Car A - Distance traveled by Car B

Which is

10 - 1 - 1.2

7.8 Miles distance between the 2 cars

Answer:

Step-by-step explanation:

Look at 3%2At%2B7=%28+-8+%29.

Moved these terms to the left  %28 +8+ %29

It becomes 3%2At%2B7%2B _green%28+8+%29=0.

Look at 3%2At%2B_red%28+7+%29%2_red%28+8+%29=0.

Added fractions or integers together

It becomes 3%2At% 2B % 28+15+%29=0.

Look at highlight_red%28+3%2At%2B15+%29=0.

Solved linear equation %28+3%2At%2B15=0+%29 equivalent to 3*t+15 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: t=-5.

Answer: t= -1/3

Step-by-step explanation:

3t+7=-8

subtract 7 from 7 and 8 (this cancels out the 7)

left with 3t = -1

divide 3 into 3t and -1

the 3 in 3t is canceled out, leaving us with t, therefore t= -1/3

Given the function f(x) = 1/x, which is compressed vertically by a factor of 1/3 and then translated 3 units up.

To find the transformed function g(x), we need to apply the transformations to f(x) one by one.

Step 1: Vertical compression of factor 1/3This compression will cause the graph to shrink vertically by a factor of 1/3. This means the y-values will be one-third of their original values, while the x-values remain the same. We can achieve this by multiplying the function by 1/3. Therefore, the function will now be g(x) = (1/3) * f(x)

Step 2: Translation of 3 units upThis translation will move the graph 3 units up along the y-axis. This means that we need to add 3 to the function g(x) that we got from the previous step.

The transformed function g(x) will be:g(x) = (1/3) * f(x) + 3 Substituting f(x) = 1/x, we getg(x) = (1/3) * (1/x) + 3g(x) = 1/(3x) + 3Hence, the transformed function g(x) is g(x) = 1/(3x) + 3.

The graph of the function g(x) is compressed vertically by a factor of 1/3 and then translated 3 units up.

To know more about compressed visit:

https://brainly.com/question/13707757

#SPJ11

Answer:

Step-by-step explanation:

S A S congruence rule: Two triangles are congruent if two sides and the included angle of one triangle are equal to the two sides and the included angle of other triangle.

If two triangles are congruent by SAS, and the angle is 90, then by CPCT{corresponding part of congruent triangle)  the hypotenuse of the two triangles will be congruent.

Now, as hypotenuse  and  one leg are congruent in both triangles, we can apply RHS congruent

Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

Learn more about  exchange rate here:

https://brainly.com/question/29562028

#SPJ4

Answer: 17974.16m cubed

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

Learn more about slope to visit this link

https://brainly.com/question/3605446

#SPJ4

Answer: Product = 2\(x^{2}\)-8x

Step-by-step explanation:

2x(x-4)

First we want to expand the brackets by multiply the contents of the bracket by 2x

2x * x = 2\(x^{2}\)

2x * (-4) = -8x

Put these together

Product = 2\(x^{2}\)-8x

The least possible integer discussed is 12, where two consecutive friends made incorrect statements among a sequence of divisibility claims.

Since two friends made consecutive incorrect statements, it means the numbers they claimed were not actually divisible by the corresponding numbers.

To minimize the integer being discussed, the incorrect statements must occur for the smallest possible numbers in consecutive order.

Divisibility by 1, 2, 3, and 4 is guaranteed, but the fifth friend's statement of divisibility by 5 must be incorrect.

Therefore, the least possible integer discussed is the product of the first four numbers: 1 × 2 × 3 × 4 = 12.

Any larger number would require additional incorrect statements, violating the given condition of only two incorrect statements by consecutive friends.

Learn more about Divide click here :brainly.com/question/28119824

#SPJ11

Answer:

Step-by-step explanation:

Move the variables to different sides of the equation. This "substitution" metho d starts out by "solving for x" (or any other variable) in one of the ...

Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation: Hope this helps:)

The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.

Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.

Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.

To know more about Development  visit :

https://brainly.com/question/14869932

#SPJ11

Answer:

That is correct

Step-by-step explanation: