What is the equation of the following graph?A. f(x) = 2(3*)OB. f(x) = (4)Oc. f(x) = 3(2)D. f(x) = 5(2") y

The spread of the data would be 8. The mode would be 11 and the number of students at least 10 years of age is 13 students.

First, order the ages of the students :

5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13

The range or spread is:

= Largest number - smallest

= 13 - 5

= 8

Identify the mode of the data, which represents the value that appears most frequently. From the given dataset, the number 11 appears the most, occurring 4 times. Therefore, the mode of the data is 11.

From age 10 to 13, there are 14 students who are aged 10 and above or at least 10.

Find out more on mode at https://brainly.com/question/11849100

#SPJ1

Answer:

66, 68

Step-by-step explanation:

You know that 60+60=120 so you have to have both number at at least 65, and you know that your two one-digit numbers must equal 14 because 120+14=134, so from there you know that the two even consecutive numbers are 66, and 68.

the answer is in the picture.

Answer:

The 95% confidence interval for the average hourly wage of all information system managers is (39.14,42.36)

Step-by-step explanation:

In order to calculate the 95% confidence interval for the average hourly wage we would have to calculate first the margin of error as follows:

ME=t0.05/2,n-1s/√n

for n=75, t0.025,74=1.993

Therefore, ME=1.993*7/√75

ME=1.61

Therefore, the 95% confidence interval for the average hourly income of all syatem manager would be as follows:

(X-ME,X+ME)=(40.75-1.61,40.75+1.61)

=(39.14,42.36)

(x-2)(x²+9) is set of factors corresponds to a third-degree polynomial with rational coefficients.

What is polynomial?

In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Main body:

as the polynomial with rational coefficients that has zeros x=2 and x=3i

(x-2) and (x-3i) are factors of third-degree polynomial.

so ,

⇒(x-2)(x-3i)

solving (x-3i)

x = 3i

squaring both sides,

x² = -9

so , (x²+9) is a factor.

hence , (x-2)(x²+9) is set of factors corresponds to a third-degree polynomial with rational coefficients.

to know more about polynomial , visit:

https://brainly.com/question/4142886

#SPJ1

The equation in the slope-intercept form is y = (-2/3)x + 2. Then the correct option is B.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equation is given below.

2x + 3y = 6

Then arrange the equation in the slope-intercept form. Then we have

3y = -2x + 6

y = (-2/3)x + 2

Then the correct option is B.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ1

Answer:

20÷10=2. 10,000÷10=1,000

Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000

Items in A and C, but not B is the required region.

Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

Given:

A ∩ B' ∩ C

That means,

A intersection not B intersection C.

B' is the complement of set B.

So, the region is,

Items in A and C, but not B.

Therefore, the items in A and C but not in B.

To learn more about the set;

https://brainly.com/question/8053622

#SPJ1

Answer:

check the illustration I provided

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

im on plato just passed the test

1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.

2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1

This means that period B has a smaller Mean absolute deviation.

We start by finding the mean for each set;

Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10

= 960/10

= 96

Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10

= 961/10

= 96.1

Period A:

Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10

Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10

Mean Absolute Deviation = 1.8

Period B:

Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10

Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10

Mean Absolute Deviation = 1.1

Find more exercises on Mean Absolute Deviation;

https://brainly.com/question/10528201

#SPJ1

Answer:

393.701 inches

32.8084 feet

10.9361 yards

0.01 kilometer

0.00621371 miles

1000 centimeters

10000 millimeters

Step-by-step explanation:

There are multiple ways to answer this since you didn't specify the type of measurement to compare it to or any multiple choices so I arranged a list of them.

Answer:

C

Step-by-step explanation:

Given the function:

Let's graph the function.

To graph, let's first find the vertical and horizontal asymptotes.

To find the vertical asymptote, let's equate the denominator to 0 and solve for x.

The vertical asymptote is:

x = -4

To find the horizontal asymptote, apply the condition:

n = m

Where n is the degree of the numerator while m is the degree of the denominator.

Since n = m, the horizontal asymptote will be:

Where:

a = 2

b = 1

The horizontal asymptote is:

y = 2

We have a sketch of the asymptotes below:

Now, let's find two points each.

We have the following:

We have the points: (1, 1.5), (-3, 0)

Also find two points on the upper part:

We have the points: (-5, 4) and (-6, 3)

Plot the points and sketch the graph.

We have the graph of the rational function below:

ANSWER:

Vertical asymptote: x = -4

Horizontal asymptote: y = 2

Answer:

AC² = 10.8²+14.4² = 324

AC = √324= 18

area = AC.DC÷2

area=18×24÷2

area=216

Answer:

216 centimeters squared

Step-by-step explanation:

working is above

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

To know more about standard deviation, visit:

https://brainly.com/question/475676

#SPJ1

Step-by-step explanation:

\( \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} \)

\( \frac{3}{4} 36 = 27\)

The required function is clearly passes through the origin and have a constant slope .

Also function have removable discontinuity at x=-5 and x=3.

Since we have given that a function passes through origin and having a constant slope 1 also the function have removable discontinuity at x = -5 and x = 3.

since we first define removable discontinuity.

this type of discontinuity  can be removed by defining f in such a way that limₓ→ₐ = f(a)

here we have given that function  have removable discontinuity at x = -5 and x=3 then if y = p(x)/q(x) be the required function, the denominator q(x) will be equal to product of (x-(-5) and (x-3)

that is:

q(x) = (x+5)(x-5)

hence we define a function y = f(x) with discontinuity x=-5 and x=3 is:

f(x) = 1/(x+5)(x+3)

now:

here limₓ→₋₅ f(x) does not exist also limₓ→₃ f(x) does not exist.

to make it removable discontinuity we multiplying the numerator of f(x) by the term (x+5)(x-3) then the new function will be:

f(x) = (x+5)(x-3)/(x+5)(x-3)

hence clearly

limₓ→₅f(x) =1 and limₓ→₃f(x)=`

but the function f(x) at x=-5 and c=3 is undefined.

thus function is: f(x) = (x+5)(x-3)/(x+5)(x-3) which has removable discontinuity at

x=-5 and x=3

hence the desired function is:

f(x) = x(x+5)(x-3)/(x+5)(x-3)

f(x) = x(x²+2x-15)/(x+5)(x-3)

f(x) = x³+2x²-15x//(x+5)(x-3)

this is the required function which clearly passes through the origin and have a constant slope .

Also function have removable discontinuity at x=-5 and x=3.

Learn more about removable discontinuities here:

brainly.com/question/24637240

#SPJ4

The next three numbers here would be 0, 10, 1011, 1031, 102113, 10311213, 10411223, 1031221314, 1041222314.

The term number sequence is used to refer to the list of numbers that have the relationship of having a linked rule. The number that follows in the sequence has to be worked out from the previous numbers in that particular sequence. You have to follow the particular rule to be able to work out the number that has to follow in the sequence.

For example we have these numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 etc. We would have to understand the pattern of numbers that are in the sequence. We can see that there is a difference of 3 between the number that succeeds the previous one in the sequence.

The first value here is given to be 0

Next we have the 1 0 = 10

The next that we have is 1 0 and 1 1 written as 1011

Next is 1 zero and three one = 1031

We continue to follow the pattern till we arrive at 1041222314. This is where the sequence would then have to stop.

Hence we have to conclude that the next numbers are 10411223, 1031221314, 1041222314.

Read more on sequence of numbers here:

https://brainly.com/question/6561461

#SPJ1

Answer:

#3

Step-by-step explanation:

The median of the data collected from a track meet  is 2 meters.

The median is the middle number in a sorted, ascending or descending list of numbers.

To calculate the median of the given date, we folloe the steps below.

Collected date: 1, 4, 6, 2, 4, 3, 2/3, 1/3, 1/2

Step 1: Rearreange the date in accending order.

Step 2: Pick the middle of the number in the arranged data

Hence, the median of the data collected is 2 meters.

Learn more about median here: https://brainly.com/question/26151333

#SPJ1

Answer:

2.5

Step-by-step explanation:

Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Answer:

Step-by-step explanation:

P(less than 6) = 2/5

There are 5 spaces total. Of these, only 2 spaces are less than 6, namely the pizza slices labeled "4" and "5".

That's how we get to 2/5

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

The probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0802.

To find the probability that exactly 20 out of 30 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the total number of trials (sample size)

k is the number of desired successes

p is the probability of success on a single trial

In this case:

n = 30 (number of adult smartphone users randomly selected)

k = 20 (number of users who use smartphones in meetings or classes)

p = 0.42 (probability of using smartphones in meetings or classes)

Plugging in the values into the formula:

P(X = 20) = C(30, 20) * (0.42)^20 * (1-0.42)^(30-20)

Calculating the values:

C(30, 20) = 30! / (20! * (30-20)!) = 30! / (20! * 10!) = 30,045

P(X = 20) = 30,045 * (0.42)^20 * (0.58)^10

Calculating the final result:

P(X = 20) ≈ 0.0802

Therefore, the probability is approximately 0.0802.

For more such questions on probability

https://brainly.com/question/251701

#SPJ8

Answer:

(1) 56 miles/hour

Step-by-step explanation:

We need to find the average rate of change from t = 2 to t = 9.

At t = 2 hours, d = 106 miles.

At t = 9 hours, d = 498 miles.

The average rate of change in function f(x) from x = a to x = b is

[f(b) - f(a)]/(b - a)

average rate of change from t = 2 to t = 9 =

(498 - 106)/(9 - 2) = 392/7 = 56

Answer: (1) 56 miles/hour

Answer:

14 lessons.

Step-by-step explanation: