suppose the rate at which a skateboarder is traveling is given over a 15 second interval in the table below: t 0 3 6 9 12 15 f(t) 30 17 15 11 7 1 where time t is in seconds and f(t) is given in ft/sec. determine the underestimate for the total distance traveled over the 10 second interval.

The expected value of the die roll is 2.47.  Finding the value of kProbability is the measure of the likelihood of an event taking place. The sum of the probability of all events occurring must equal one, otherwise, the set of events would be incomplete, which is not possible.

Therefore, we have 0.28 + k + 0.15 + 0.3 = 1 where k is the probability of getting 2 on the die.Solving for k:k = 1 - 0.28 - 0.15 - 0.3k = 0.27Therefore, the value of k is 0.27. b. Calculating the expected valueThe expected value of the die roll is the sum of each score multiplied by its probability of occurrence. This is also called the mean of the probability distribution, given by: E(X) = ΣxP(x)where X is the random variable and P(x) is the probability of X being equal to x.Using the given table of probabilities:E(X) = 1(0.28) + 2(0.27) + 3(0.15) + 4(0.3)E(X) = 0.28 + 0.54 + 0.45 + 1.2E(X) = 2.47Therefore, the expected value of the die roll is 2.47.

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By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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Answer:

Step-by-step explanation:

2(x+3)/3 + 3(x-6)/2=1-x

2x+6/3 + 3x-18/2=1-x

2(2x+6)/3 + 3(3x-18)=6-6x

4x+12+9x-54=6-6x

13x-49=6-6x

13x+6x=6+42

19x/19=48/19

x=49/19

The total price the store charges to deliver $140 worth of groceries will be $4.20.

It should be noted that the certain grocery store charges a fee of 3% of the total bill to have groceries delivered. A percent is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic.

Therefore, the total price the store charges to deliver $140 worth of groceries will be:

= Percentage charged × Cost

= 3% × $140

= 0.03 × $140

= $4.20

The amount charged is $4.20.

The entire cost for the retailer to deliver $140 worth of goods is $4.20.

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The measure of angle ABC is 132°.

The total measure of ABC and BCD is 180° because it is a straight angle.

If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.

The equation of the line in slope-intercept form is y = 6x + 55.

Equations can involve variables, which are placeholders for unknown values that we wish to find. For example, the equation x + 3 = 7 asserts that the value of x plus 3 is equal to 7. We can solve for x by subtracting 3 from both sides of the equation, obtaining x = 4.

Equations can be linear or nonlinear, and they can involve one or more variables. They can be represented in various forms, such as standard form, slope-intercept form, or quadratic form.

To find the equation of the line in point-slope form, we need to first find the slope of the line. We can use any two points from the table to find the slope using the formula:

slope = (change in y)/(change in x)

Let's use the first and last points in the table:

slope = (295 - 175)/(40 - 20) = 120/20 = 6

Now we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is any point on the line. Let's use the first point (20, 175):

y - 175 = 6(x - 20)

To write this equation in slope-intercept form, we need to isolate y:

y - 175 = 6x - 120

y = 6x + 55

So the equation of the line in slope-intercept form is y = 6x + 55.

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Steps:

Step 1: Simplify both sides of the equation.

1 /5x+1=7

Step 2: Subtract 1 from both sides.

1/5x+1−1=7−1

1/5x=6

Step 3: Multiply both sides by 5.

5*(1/5x)=(5)*(6)

Description:

Since we are solving for x first steps is to Simplify both sides of the equation. Then subtract 1 from both sides. After that multiply both sides by 5 and you will get your answer. The correct answer for this question is x=30.

Answer: x=30

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Hope this helps.

The value of x from the given equation is 30.

The given equation is x/5 +1=7.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, x/5 +1=7

Transpose 1 to other side of the equation, we get

x/5 =7-1

x/5 = 6

Transpose 5 to other side of the equation, we get

x = 6×5

x = 30

Therefore, the value of x from the given equation is 30.

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Answer:

f(-4) = 15

Step-by-step explanation:

A function is notated as f(x), because the x is the value you are putting in. For example. In f(x) = x + 5, the value you are putting in is x, and the output would be x + 5.

So in this case, we have f(x) = -7x-13. We are to figure out f(-4), so we can simply put in -4 as the x-value;

-7(-4) - 13

28 - 13

15

And so the value of f(-4) = 15

if you liked this answer please mark brainliest!

Answer:

9

Step-by-step explanation:

f times 9 = 7x - 13 = 9 pls make me brianlist

Answer:

it should be number A hope that helps

Answer:

(x-1)(x-1)

Step-by-step explanation:

Answer: It helps because you already know it off the top of your head and you are able to break up a multiplication problem step by step in your head.

Step-by-step explanation:

Answer:

Part A 1 1/4 x 3 =3 3/4

1 1/2 x 8 = 12

1 3/4 x 4 = 7

2 1/2 x 6 = 15

Part B D.37 3/4

Step-by-step explanation:

Hopes this helps!

The total length of rope that is brought on the trip would be the mixed fraction of 37 3/4.

A fraction represents a part of a number or any number of equal parts.

There are different types of fractions such as proper, mixed, and improper fractions.

Part A

Multiply each length of rope in the table below by its frequency.

We get,

1 1/4 x 3 =3 3/4

1 1/2 x 8 = 12

1 3/4 x 4 = 7

2 1/2 x 6 = 15

Part B

The total length of rope that is brought on the trip

= 3 3/4 + 12 + 7 + 15

= 37 3/4

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The complete solution to the inhomogeneous recurrence tₙ + 3tₙ₋₁ + 2tₙ₋₂ = 3ⁿ consists of the homogeneous solution (combinations of the roots) and the particular solution: tₙ = A(-2)ⁿ + B(-1)ⁿ + tₚ

To find the characteristic polynomial for the given inhomogeneous recurrence, we first need to solve the associated homogeneous recurrence, which is obtained by setting the right-hand side (RHS) equal to zero:

tₙ + 3tₙ₋₁ + 2tₙ₋₂ = 0

The characteristic polynomial is derived by replacing each term in the homogeneous recurrence with a variable, let's say r:

r² + 3r + 2 = 0

Now we can solve this quadratic equation to find the roots:

(r + 2)(r + 1) = 0

This equation has two roots:

r₁ = -2

r₂ = -1

The roots of the characteristic polynomial represent the solutions to the homogeneous recurrence. Since the equation is second-order, there are two distinct roots.

Next, we need to consider the inhomogeneous part of the recurrence, which is 3ⁿ. The inhomogeneous part does not affect the roots of the characteristic polynomial but instead contributes to the particular solution.

Since the inhomogeneous part can be parsed as 1 * 3ⁿ, we have p(n) = 1 and b = 3.

The characteristic polynomial remains unchanged:

(r + 2)(r + 1) = 0

The roots of the characteristic polynomial are:

r₁ = -2 (with multiplicity 1)

r₂ = -1 (with multiplicity 1)

These roots represent the solutions to the homogeneous recurrence.

To find the particular solution, we use the fact that b/p(n) = 3/1 = 3. Since p(n) = 1, the particular solution is a constant, which we can denote as tₚ.

Therefore, the complete solution to the inhomogeneous recurrence tₙ + 3tₙ₋₁ + 2tₙ₋₂ = 3ⁿ consists of the homogeneous solution (combinations of the roots) and the particular solution:

tₙ = A(-2)ⁿ + B(-1)ⁿ + tₚ

where A and B are constants determined by initial conditions, and tₚ is the particular solution.

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Answer:

Y = -2/9x +2

Reasoning:

This is because you simply find the slope between the 2 points

Answer:

The correct answer is 4 sec

Step-by-step explanation:

The soccer ball returns to the ground after 4 seconds, got from solving the quadratic function y = -16t² + 64t.

A polynomial function is a relation where a dependent variable is equal to a polynomial expression. A polynomial expression is an expression including numbers and variables, where variables are raised to non-negative powers.

The general form of a polynomial expression is:

a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.

The highest power to a variable is the degree of the polynomial expression.

When degree = 2, the function is a quadratic function.

When degree = 1, the function is a linear function.

We are given a quadratic function representing the height of the ball after a goalie kicks it. The function is y = −16t² + 64t, where y is the height in feet of the ball at time t seconds.

We are asked how long it takes for the soccer ball to return to the ground.

To calculate the time for the ball to return to the ground, we take height y = 0.

Our equation therefore is,

0 = -16t² + 64t

or, 16t² - 64t = 0

or, t² - 4t = 0

or, t(t-4) = 0

∴ Either, t = 0; Or, t-4  = 0 ⇒ t = 4.

∴ The height of the ball is 0 when time t is 0 and 4. Time 0 is before the goalie kicked the ball, so we take t = 4 seconds.

∴ The ball takes 4 seconds to return to the ground.

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We have constructed the frequency distribution.

What is a frequency distribution?

In statistics, a frequency distribution is a graph or data set that shows the frequency of occurrence of each possible outcome of a repeatable event observed many times. Simple examples are election returns and test scores listed by percentile. A frequency distribution can be represented graphically as a histogram or a pie chart.

The frequency distribution table is shown below

Dormancy Period Frequency

55-59                     1

60-64                     0

65-69                     1

70-74                     4

75-79                     0

80-84                     7

85-89                     3

90-94                     5

95-99                     4

100-104                     3

105-109                     1

110-114                     0

115-119                     1

                         N=30

Hence, we have constructed the frequency distribution.

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Answer:

y = 3(x - 1)(x + 5)(x + 2)

Step-by-step explanation:

Given points:   (1, 0)   (-5, 0)   (-2, 0)   (-4, 30)

x-intercepts are when y = 0

Therefore, the x-intercepts are x = 1, x = -5 and x = -2

So (x - 1), (x + 5) and (x + 2) are all factors of the polynomial.

Therefore, the equation of the polynomial is:

y = a(x - 1)(x + 5)(x + 2)  where a is a constant to be found

To find the constant a, input the point (-4, 30) into the equation and solve:

⇒ a(-4 - 1)(-4 + 5)(-4 + 2) = 30

⇒ a(-5)(1)(-2) = 30

⇒ 10a = 30

⇒ a = 3

Therefore, the equation of the polynomial is:

y = 3(x - 1)(x + 5)(x + 2)

Answer:

9.

Step-by-step explanation:

The remainder is given by the value of f(-1):

Remainder = 3(-1)^3 - 4(-1)^2 - 5(-1) + 11

= -3 - 4 + 5 + 11

= -7 + 16

= 9.

Answer:

380cm

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Given:

Principal = Rs. 1200

Rate of interest = 25%

To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

\(P=1200\)

\(r=\dfrac{25}{100}\)

\(r=0.25\)

If interest is equal to the principal, then

\(Amount=Principal+Interest\)

\(Amount=1200+1200\)

\(Amount=2400\)

The formula for amount is:

\(A=P\left(1+r)^n\)

Substituting \(A=2400, P=1200, r=0.25\) in the above formula, we get

\(2400=1200(1+0.25)^n\)

\(\dfrac{2400}{1200}=(1.25)^n\)

\(2=(1.25)^n\)

Taking log on both sides, we get

\(\log2=\log(1.25)^n\)

\(\log2=n\log(1.25)\)               \([\because \log a^b=b\log a]\)

\(\dfrac{\log2}{\log(1.25)}=n\)

\(n\approx 3.11\)

Therefore, the interest will became equal to the principal in about 3.11 years.

Answer: IS 7

2

Answer: x=7

Step-by-step explanation:

Answer:

six teaspoons

Step-by-step explanation:

12 fish tanks, each 20 quarts

12x20=240 quarts in 12 tanks

we need to convert quarts to gallons

4 quarts equal one gallon, so

240/4=60 gallons in 12 tanks

60 gallons divided by every 10 gallons equal six teaspoons.

The height of the triangular face is 15 yards.

To find the height of the triangular face, we will use the formula for the volume of a triangular prism:
Volume = (1/2) * Base * Height * Length.

We are given the following values:
- Volume (V) = 720 cubic yards
- Length (L) = 8 yards
- Base (B) = 12 yards
We need to find the height of the triangular face (H).

Let's plug in the given values into the formula and solve for H:
720 = (1/2) * 12 * H * 8
First, simplify the equation:
720 = 6 * H * 8
720 = 48 * H
Now, divide both sides by 48 to find the value of H:
H = 720 / 48
H = 15 yards.

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The dimensions 36 x 27 inches are too small to allow a 48-inch piece of glass to fit through it.

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Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

Answer:

2830.6875 hours of sleep per year (7.45 should be 7.75)

Step-by-step explanation:

To find your average sleep per year, you need to covert avg hours per day, to days per year.

Note that 45 minutes is not equivalent to .45 hours, but actually .75 hours since there are only 60 minutes in an hour.  ( 45 / 60 == .75 )

Simply, the amount of days per year is 365.25 (to account for leap years).

So perform this calculation:

(7.75 hrs / day ) * ( 365.25 days / year ) == 2830.6875 hrs / year

Meaning, on average you get 2830.6875 hours of sleep per year.

Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

================

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES