What is the mode how do you find the mode

Answer:

The midpoint is (4, 3).

Step-by-step explanation:

to get the midpoint (x1+x2/2, y1+y2/2)

(0+8/2, 0+6/2)

(4, 3)

5/6, five sixths is the answer

We can say that P(X > 6) = 1, or 100%, rounded off to two decimal places.

The probability density function (PDF) of the lifetime of the battery is given by:

f(x) = 5, for x > 2

To find the probability that the battery lasts longer than 6 months, we need to calculate the integral of the PDF from x = 6 to infinity:

P(X > 6) = ∫6∞ f(x) dx

Substituting the PDF, we get:

P(X > 6) = ∫6∞ 5 dx

Integrating, we get:

P(X > 6) = [5x]6∞

Evaluating the expression at x = ∞ and x = 6, we get:

P(X > 6) = [5(∞)] - [5(6)]

Since ∞ is not a number, we say that P(X > 6) is infinite, which means that the probability that the battery lasts longer than 6 months is very high but not equal to 1. However, if we consider a practical situation, we can round off the result to two decimal places. In that case, we can say:

P(X > 6) ≈ 1.00

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Answer:

hi

Step-by-step explanation:

but that was no a question but thanks

Answer:

I am gonna go with D

Step-by-step explanation:

The graph just does not look right and the table does not even match with the graph.

The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

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Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

\((x - h)^{2} + (y - k)^{2} = r^{2}\)     where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

The equation for this circle is given as

\((x+4)^2 + (y-9)^2 = 25\)

Data

The equation of circle is given by

\((x-h)^2 + (y-k)^2 = r^2\)

Let's substitute our values and get our equation

\((x--4)^2 + (y-9)^2 = 5^2\\(x+4)^2 + (y-9)^2 = 25\)

we substituted the values of h and k and made sure it's in the standard form of equation of a circle.

The equation for this circle is given as

\((x+4)^2 + (y-9)^2 = 25\)

This looks exactly like

\((x-h)^2 + (y-k)^2 = r^2\)

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The question require you to determine the difference between {-2}^2 and -2^2

{-2}^2 = {-2} * {-2} = 4

-2^2 = 4

There is no difference .The answer is 4 in both cases

The quadratic function that passes through the points (-1, -10), (2, -16), and (4, -70) is: f(x) = -5x² + 3x - 2.

The quadratic function can be represented in the form of:

y = ax² + bx + c

where a, b, and c are coefficients to be determined.

To find these coefficients, we can use the three points given in the problem.

At point (-1, -10):

-10 = a(-1)² + b(-1) + c

-10 = a - b + c

At Point (2, -16):

-16 = a(2)² + b(2) + c

-16 = 4a + 2b + c

At Point (4, -70):

-70 = a(4)² + b(4) + c

-70 = 16a + 4b + c

We now have three equations with three unknowns (a, b, and c), which can be solved using any method of solving systems of linear equations.

Subtracting the first equation from the second equation, we get:

-6 = 3a + 3b

Subtracting the second equation from the third equation, we get:

-54 = 12a + 2b

Now we have two equations with two unknowns, which can be solved using any method.

For example, we can solve for b in terms of a from the first equation and substitute into the second equation:

-6 = 3a + 3b

Solve for b

-2 = a + b

b = -2 - a

Substituting into the second equation, we get:

-54 = 12a + 2(-2 - a)

-54 = 10a - 4

-50 = 10a

a = -5

Substituting a = -5 into b = -2 - a, we get:

b = -2 - (-5) = 3

Finally, substituting a = -5 and b = 3 into one of the original equations, we can solve for c:

-10 = (-5)(-1)^2 + 3(-1) + c

-10 = -5 + (-3) + c

c = -2

Therefore, the quadratic function that passes through the points is y = -5x² + 3x - 2.

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Answer:

51 3/4 %

Step-by-step explanation:

Answer:

C) 60 ft

Step-by-step explanation:

From any dot in the graph you can figure out the speed.

Let's take the one at 2 minutes, because it is on a grid point.

That one tells us that in 2 minutes, the animal travels 40 feet.

That means in 1 minute, it travels half that, i.e., 20 feet.

So in 3 minutes it will travel 20*3=60 feet.

Answer:

C) \(\frac{\sqrt{6} }{14}\)

Step-by-step explanation:

We multiply the conjugate (7 √2) with the denominator and numerator:

\(\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}\)

I also just used my calculator and it gave me this

The value of x, in the solution of the system of equations, is 6.

To find the value of x in the solution for the system of equations, we need to use the substitution method. First, we need to rearrange one of the equations to solve for one variable in terms of the other. Let's rearrange the second equation to solve for y:

18 - 2y = 2x

2y = 18 - 2x

y = 9 - x

Now, we can substitute the value of y from the second equation into the first equation:

6x - 3(9 - x) = 27

6x - 27 + 3x = 279

9x = 54

x = 6

Therefore, the value of x in the solution for the system of equations is 6.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

We need to find the slope and y-intercept using the table values:

To find the slope take two points and use the slope formula:

P2 (1, 0.75) andP2 (0,0)

So, our slope is 4/3

To find the y-intercept, we set x=0

Now, look at the table when x values 0.

The Point (0,0) is the y-intercept because is when x=0.

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  2t + 2h = 174

               h  = 17

Therefore, she made 17 three point shots.

Answer:

246.5

Step-by-step explanation:

86275÷35

= 246.5

approximately 247

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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Answer:

the answer for this is B 9

Answer:

B

Step-by-step explanation:

Consecutive angles are supplementary, thus

30 + 5x + 15 + 10x = 180 , that is

15x + 45 = 180 ( subtract 45 from both sides )

15x = 135 ( divide both sides by 15 )

x = 9 → B

Answer:

m∠DEC  = 50° to the nearest degree

Step-by-step explanation:

cos D = adjacent side/hypotenuse

         = 36/56

m∠DEC = arccos (36/56) =50° to the nearest degree

promotional strategies used by companies to draw clients and boost sales. For example, product promotions include free samples, whereas sales promotions include coupons and competitions.

Sales promotions are short-term incentives provided by businesses to entice clients to make a purchase or carry out a specific action, such redeeming a coupon or participating in a competition. On the other hand, product promotions use free samples to spread the word about and encourage people to try a new or existing product.

The coupons, contests, and free samples that Conley is looking for while preparing to go shopping after the Christmas holidays are all examples of promotional tools or marketing strategies used by companies to attract customers and boost sales. Samples are a particularly effective marketing tool as they allow customers to try products before purchasing them, increasing the likelihood of a sale. Conley's proactive approach to finding these promotional tools and taking advantage of them demonstrates her savvy consumer skills.

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\(\huge\underline{\boxed{Hi\;there!}}}\)

Like terms are "from the same family"

In the given expression, 18p and 2p are like terms.

Let's add them:

18p+2p-79+89

20p+10

\(\huge\boxed{\mathfrak{Answer:{\boxed{\boxed{20p+10}}}}}\)

\(\bigstar\) I really hope it helps you!

\(\rm{Have\;a\;splendiferous\;day!\)

\(\bold{FabulousKingdom}\)

\(\huge\boxed{\bf{Process:}}\)

\({\boxed {\bold {18p+\ 2p=\ 20p}}}}}\)

\({\boxed {\bold {+89\ -79=\ +10}}}}}\)

\({\huge{\underline{\boxed{\purple{\mathcal{ANSWER:}}}}}}\)

\(\:\:\:\huge\color{}\boxed{\colorbox{}{20p+10}}\\\\\)

\(\frak{\pmb{\underline\green{NOTE:}}}\) 89 is greater than 79 and it was positive, so 10 is positive and not negative, that's fine.

Answer:

3

Step-by-step explanation:

The best estimate of the number of letters that a name contains is if the nameplate is 6 inches long will be 3. Option A is correct.

Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both coordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.

It is given that, the regression equation is y = 1.47 x + 2.05.

The name's letter count is represented by variable x, whereas the name's length on a nameplate is represented by variable y.

The nameplate is 6 inches long, so y=6 and you can find x by doing the following:

6=1.4x+2.05

1.4x=6-2.05

1.4x=3.95

x=2.69

x≈3

Thus, the best estimate of the number of letters that a name contains is if the nameplate is 6 inches long will be 3. Option A is correct.

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If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer:

10t = 7t + 15

3t = 15

t = 5

JK = 50

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

a) To determine the likely size of the chance error in the average score of 301 for a cluster sample of 1,000 students, we need additional information about the cluster sampling design.

The cluster sampling method involves dividing the population into clusters, selecting a subset of clusters, and then sampling all individuals within the selected clusters.

The likely size of the chance error depends on the within-cluster variability and the between-cluster variability.

Without information about the variability at each level, we cannot accurately estimate the size of the chance error in this specific scenario.

Therefore, we cannot fill in the blank without more details regarding the cluster sampling design and the variability present in the clusters.

b) If a simple random sample of 1,000 students was tested, we can estimate the likely size of the chance error in the average score of 301. Since a simple random sample implies that each student has an equal chance of being selected, we can use the standard error of the mean formula to estimate the size of the chance error.

The standard error of the mean (SE) is calculated as the standard deviation (SD) divided by the square root of the sample size (n):

SE = SD / √n

Given that the SD is 30 and the sample size (n) is 1,000, we can calculate the standard error:

SE = 30 / √1000 = 30 / 31.62 ≈ 0.95

Therefore, the likely size of the chance error in the average score of 301, for a simple random sample of 1,000 students, is approximately 0.95.

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The maximum number of relative extrema of the given polynomial is; 3

When trying to find the maximum number of relative extrema of a polynomial, we usually use the formula;

Maximum number of relative extrema contained in a polynomial = degree of this polynomial - 1.

We are given the Polynomial as;

f(x) = 3x⁴ - x² + 4x - 2

Now, the degree of the Polynomial would be 4. Thus;

Maximum number of relative extrema = 4 - 1

Maximum number of relative extrema = 3

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