bashiru takes 4min 12second to run 1km.kunle takes only 4min. what is the ratio of bashiru's time to kunle's​

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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(a) What is the probability that Brian kicks his fourth 35-yard field goal on his ninth attempt? The probability of Brian making an individual attempt is 0.6. Since he needs to make four field goals to go home, it implies that he misses the first attempt, makes the next four, and then he can go home. If we let M denote a successful kick and N denote a failed kick, then the probability of Brian making four successful kicks is P(MMMNMMMNN).

Using the binomial distribution, we can evaluate the probability P(4) = 0.6^4 × 0.4^1 = 0.03456 of making four successful kicks in five attempts. The probability that he makes his fourth successful kick on his ninth attempt is the product of the following probabilities: Probability that he makes three successful kicks in the first eight attempts: P(MMMNNNNN) = 0.6^3 × 0.4^5
Probability that he makes his fourth successful kick on the ninth attempt: P(M) = 0.6
Probability that he misses his fifth attempt: P(N) = 0.4
Therefore, the probability that he makes his fourth successful kick on his ninth attempt is:
P(MMMNNNNN) × P(M) × P(N) = 0.6^3 × 0.4^5 × 0.6 × 0.4 = 0.00387.

(b) What is the expected number of field goals Brian will need to attempt to make four?The probability of making an individual attempt is 0.6, and he needs to make four field goals to go home. So, the probability of making four successful field goals is:
P(4) = (0.6)^4(0.4)^1 = 0.03456
The expected number of attempts needed to make four successful field goals is given by:
1/P(4) = 1/0.03456 = 28.9
Therefore, the expected number of field goals Brian will need to attempt to make four is approximately 28.9, that is, around 29 attempts.

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Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.

An unknown population parameter's value is likely to be within the bounds of a confidence interval (CI), which is a range of values. Given the qualities of your sample data, these intervals reflect a likely domain for the parameter.

Confidence intervals are computed using a predetermined degree of confidence and are obtained from sample statistics.

Margin of error ME = z(α/2)√[p(1-p)/n]

confidence interval = 95%

z(α/2) value for the 95% confidence interval = 1.96 (taken from attached table)

P = 75% = 0.75

1-p = 1 - 0.75 = 0.25

n = 1200

Put the values in formula:

ME = (1.96)*√[0.75*0.25 / 1200]

ME = (1.96)*√0.00015625

ME = 0.0245

Thus, the interval estimate of the number of drivers under the age of 19 in 2008, together with its margin of error of 0.0245.

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Complete question:

Fewer young people are driving. In 1983, 87% of 19-year-olds had a driver’s license. Twenty-five years later (in 2008) that percentage had dropped to 75%. Suppose these results are based on a random sample of 1200 19-year-olds in 1983 and again in 2008.  At a 95% confidence, what is the margin of error and the interval estimate of the number of 19-year-old drivers in 2008?

Answer:

i just did this in class a week ago and i think it was option c

Step-by-step explanation:

Answer:

2x(x + 4)

Step-by-step explanation:

The greatest common factor of 2x^2 and 8x is 2x. So, we can factor out 2x to get:

2x(x + 4)

The definition of a greatest common factor (GCF) is the largest number that is a factor of two or more numbers. In this case, 2x is the GCF of 2x^2 and 8x because it is the largest number that divides both numbers evenly.

Here are the steps on how to factor out the GCF:

In this case, the factored expression is 2x(x + 4).

The answer is:

Work/explanation:

Let's find something that \(\sf{2x^2}\) and \(\sf{8x}\) have in common.

In other words, we find their GCF (greatest common factor).

The GCF of \(\sf{2x^2}\) and \(\sf{8x}\) is 2x.

So I factor it out :

\(\sf{2x(x+4)}\)

The height of the tower in Alex's drawing is 20.7 centimeters.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We need to find the height of the tower in Alex's drawing.

Let us multiply the actual height of the tower by the scale factor.

Scale factor = 1 : 4000

Height of the actual tower = 828 meters

Height of the tower in Alex's drawing = 828 meters x (1/4000) = 0.207 meters or 20.7 centimeters.

Therefore, the height of the tower in Alex's drawing is 20.7 centimeters.

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Answer:

48 ounces

Step-by-step explanation:

16 x 3 is 48,so there is your answer.Hope it helps!

Answer:

...

Step-by-step explanation:

Table e

5:2

10:4

20:8

Table F

180:5

36:1

216:6

The dimensions of a norman window of maximum area if the total perimeter is 14 feet are 2 ft and 4 ft respectively.

Given:

a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window

we are asked to  find the dimensions of a norman window of maximum area if the total perimeter is 14 feet.

the area of the semicircle is given by:

A = πr²/2

The area of the rectangle is just the product of its length and width.

Letting A be the area of the window and adding the two ares, we have:

A = xy + π(y/2)²/2

= xy + π(y²/4)/2

= xy+πy²/8

we know the circumference = πd

the circumference of a semicircle is half of that. The perimeter of a rectangle is the sum of twice the length and twice the width. However, one of the sides is replaced by the semicircle, so we remove it from the equation.

Hence, we have the following equation for the perimeter.

14 = 2x+y+πy/2

let us isolate x from this equation

14 = 2x+y+πy/2

14-y-π/2 = 2x

x = 7-y/2-πy/4

substituting x to the equation for the area, w have:

A = xy + πy²/8

= (7 - y/2 - πy/4)y + πy²/8

= 7y - y²/2 - πy²/4 + πy²/8

= 7y - y²/2 - 2πy²/8 + πy²/8

= 7y - y²/2 - πy²/8

differentiating A with respect to x.

A = 7y - y²/2 - πy²/8

A' = 7 - y - πy/4

⇒ 7 - y - πy/4 = 0

⇒ 28 - 4y - πy=0

⇒ 28 = 4y+πy

⇒ 28=(4+π)y

⇒ y = 28/4+π ≈ 4 ft

perimeter:

14 = 2x+y+πy/2

14 = 2x + 28/4+π + π(28/4+π)/2

14(8+2π)=2x(8+2π)+28(2)+28π

112+28π = 16x+4πx+56+28π

112-56=16x+4πx

56=(16+4π)x

x=56/16+4π

= 14/4+π

x=14/4+π≈ 2 ft.

Hence the dimension are 2 ft and 4 ft.

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Answer:

2(8)+7

Step-by-step explanation:

You fill in the spots. If b = 2 then put 2 in the equation.

Answer:

23

Step-by-step explanation:

b multiplyed by c equals 16 + 7 giving you 23

In mathematics, a graph is a visual representation of the relationship between two variables. In the case of y=f(x), x represents the independent variable and y represents the dependent variable. The graph shows how y changes with respect to x. The shape of the graph depends on the function f(x) and can help to identify important properties such as maximums, minimums, and zeroes.

The graph of a function y=f(x) is a visual representation of how the output (y) changes with respect to the input (x). The x-axis typically represents the domain or range of the function, and the y-axis represents the range or domain of the function, respectively. The shape of the graph provides information about the behavior of the function. For example, a linear function will have a straight line, while a quadratic function will have a parabola. By analyzing the graph, one can identify important properties such as the maximum or minimum value of the function, where it intersects the x-axis, and where it intersects the y-axis.

In conclusion, a graph of a function y=f(x) is a powerful tool for visualizing the relationship between two variables. The shape of the graph can provide important information about the behavior of the function, including maximums, minimums, and zeros. By understanding the properties of graphs, one can use them to solve problems in a variety of fields, including mathematics, science, engineering, and economics.

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The approximate volume of the remaining solid is 77.43 cubic inches

The volume of the rectangular prism is given by

V_rectangular_prism = base_area x height

where the base area is the area of a square with side length 4 inches

base_area = 4 x 4 = 16 square inches

So, the volume of the rectangular prism is

V_rectangular_prism = 16 x 6 = 96 cubic inches

The volume of the cylinder is given by

V_cylinder = π x r^2 x h

where r is the radius of the cylinder (1 inch) and h is the height of the rectangular prism (6 inches). So, the volume of the cylinder is

V_cylinder = π x 1^2 x 6 = 6π cubic inches

To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism

V_remaining = V_rectangular_prism - V_cylinder

V_remaining = 96 - 6π ≈ 77.43 cubic inches

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The given question is incomplete, the complete question is:

A solid metal prism has a square base with sides of 4 inches, and a height of 6 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism. What is the approximate volume of the remaining solid, in cubic inches?

Answer:52

Step-by-step explanation:.

By using the concept of the point-slope form of an equation,

The initial number of party favor bags Razi had to fill would be 52.

In this situation, the independent variable (x) is the amount of time in minutes.  

The dependent variable (y) is the number of bags remaining.

Since he is working at a constant rate, this makes it a linear function.  

In a linear function, the amount he had to fill, to begin with, is the y-intercept.  

Since The point-slope form of the equation is,

y - y₁ = m(x - x₁)

First, we find the slope using the formula

m = (y₂-y₁)/(x₂-x₁)

m = (32-36)/(5-4)

m = -4/1

m = -4

Using this and the first point, we have

y - 36 = - 4(x - 4)

Using the distributive property, we have

y - 36 = -4(x)- 4(-4)

y - 36 = -4x--16

y - 36 = -4x + 16

Add 36 to each side:

y - 36 + 36 = -4x + 16 + 36

y = -4x + 52

So, for the initial number of party favor bags Razi had to fill;

Substitute x = 0;

y = - 4 (0)+ 52

y = 52

Hence,

The required initial number is 52.

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The missing table in the question is attached below.

Answer:

18m

Step-by-step explanation:

336*2 = area

area of square = base x height (both base and height have to be equal lengths)

sqrt. 336 = 18.33m = 1 side

If a mother is concerned about the sudden decrease in the food intake of her 4-year-old child and the growth and weight patterns are all within the 25-50th percentile, here is the advice that could be offered:

Advice for the mother, First of all, a sudden decrease in food intake is not always a matter of concern as children's appetites can fluctuate due to various reasons, including illness or a recent change in routine. As long as the child is healthy and active, the appetite should not be a major issue.

Here are some tips and advice for the mother:

Offer a variety of healthy foods to encourage the child to eat. Include fruits, vegetables, whole grains, and lean proteins in the child's diet.

Avoid forcing the child to eat as it could lead to negative associations with food. Instead, encourage the child to eat by setting a good example and eating together as a family.

Avoid using food as a reward or punishment. This could lead to emotional eating and create an unhealthy relationship with food.

Encourage regular physical activity to ensure that the child stays healthy and active. Children should get at least one hour of physical activity every day.

Consult a pediatrician if the child continues to show a sudden decrease in food intake or there are concerns about the child's health and growth. A pediatrician can assess the child's growth and development and offer further advice and guidance.

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SOH - CAH - TOA

Sine = Opposite/Hypotenuse

Cosine = Adjacent/ Hypotenuse

Tangent = Opposite/Adjacent

The opposite side is the one that forms the right angle and the other acute angle. Shortest side corresponds to the smallest angle.

The adjacent side is the one that forms the angle mentioned, but not the hypotenuse.

The hypotenuse is the longest side of the triangle; it corresponds to the 90° angle (only right triangles have a hypotenuse)

sin (H) = 12/15 = 4/5

cos (H) = 9/15 = 3/5

tan (H) = 12/9 = 4/3

sin (F) = 9/15 = 3/5

cos (F) = 12/15 = 4/5

tan (F) = 9/12 = 3/4

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

Any function that fulfills the algebraic equation y=mx+b is said to be linear. B is the slope, and m is the y-intercept. Since both x and y are factors, the previous sentence is commonly referred to as an equation system with two variables." Two-variable linear equations are referred to as bivariate equations. There are several applications for linear equations: x + z = 2, and 3z - y + z = 3 both have a zero solution. If an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept, it is referred to as linear. The equation is written as Y=mx+b, where m denotes the slope and b the y-intercept.

Here,

Given : 3+ T/2 = 35

thus,

=>  3+ T/2 = 35

=> T/2 = 35-3

=> T/2 = 32 *2

=> T= 64

Therefore , the solution to the given problem of linear equation comes out to be T= 64.

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Answer: C. 13.5

Step-by-step explanation:

9x3= 27

27 divided by 2= 13.5

The formula for the area of a triangle is: A = 1/2 * b * h

In this problem, we are given the base (9 ft) and the height (3 ft). Therefore, we can use the formula.

A = 1/2 * 9 * 3

A = 1/2 * 27

A = 13.5 ft^2

Hope this helps!! :)

Answer:

the value of a and b is 68

Step-by-step explanation:

the other half is 224 so you minus 360 from 224 which will give us 136 then you divide by 2 to get a and b.

Answer:

a = 68, b = 136

Step-by-step explanation:

The angle in the circle = 360°, thus

b = 360 - 224 = 136

The inscribed angle a between a tangent- chord is equal to half the measure of its intercepted arc, so

a = 0.5 × 136 = 68

The value of the expression 9(4 + 9) using the distributive property is 117.

To evaluate the expression 9(4 + 9) using the distributive property, we need to distribute the 9 to both terms inside the parentheses.

First, we distribute the 9 to the term 4:

9 * 4 = 36

Next, we distribute the 9 to the term 9:

9 * 9 = 81

Now, we can rewrite the expression with the distributed values:

9(4 + 9) = 9 * 4 + 9 * 9

Substituting the distributed values:

= 36 + 81

Finally, we can perform the addition:

= 117

Therefore, the value of the expression 9(4 + 9) using the distributive property is 117.

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Answer:

Well nah

Step-by-step explanation:

Answer:

Lol no

Step-by-step explanation:

The result from project number 11 suggests that the drug may be effective in reducing the size of pancreatic tumors, but it is not sufficient to conclude definitively that the drug is effective using hypothesis.

The p-value of 0.027 indicates that if there were truly no effect of the drug, the probability of observing a result as extreme as or more extreme than what was observed in project number 11 would be 0.027. This suggests that the result is unlikely to have occurred by chance alone. However, it is possible that the result is a false positive or due to chance variation, especially given that 20 research projects were conducted. It would be important to replicate the result in additional studies and consider the overall body of evidence before concluding definitively that the drug is effective.

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Answer:

-1

Step-by-step explanation:

The solution set can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4.  This line can be defined by a vector (4, 1, 1, -6) and any point on the line (2, -1, 0, -5).

The solution set can be described by the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. To describe this line, we need a point on the line and a vector. The point on the line can be found by setting t = 0, so the point is (2, -1, 0, -5). The vector can be found by subtracting the point from each of the coordinates of the solution set, so the vector is (4, 1, 1, -6). This vector can be used to describe the line in R4, as any point on the line can be expressed as a multiple of the vector plus the initial point on the line. Therefore, the solution set of the system of equations can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4, defined by the point (2, -1, 0, -5) and the vector (4, 1, 1, -6).

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The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week is 0.653, which is equivalent to 65.3%.

It is important to note that this value is based on a random sample of respondents and may not necessarily represent the true proportion of the entire population of Vermont who exercise regularly.

To find the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week, follow these steps:

1. Convert the given percentage (65.3%) to a decimal by dividing by 100: 65.3 / 100 = 0.653
2. Multiply the decimal by the number of participants in the random sample (100 respondents): 0.653 * 100 = 65.3
3. Round the result to the nearest whole number to find the number of participants who exercised: 65.3 ≈ 65
4. Divide the number of participants who exercised (65) by the total number of participants in the random sample (100): 65 / 100 = 0.65

This means that out of the 100 participants sampled from Vermont, 65.3 of them answered "yes" to the question of whether they had exercised for more than 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day, 3 days a week is 0.65 or 65%.

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Answer:

C is the correct answer.

Step-by-step explanation:

You're trying to find a true statement about the point (1,7)

A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.

B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.

C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.

D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.

_____________________________________________________
Solving:

A is incorrect because it shows the point (7,1).

D is incorrect because that isn't the proper way to graph a coordinate.

B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).

C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).

Answer:

3.6? I don't really know

Answer:

Ok

Step-by-step explanation: