A penguin walks 10 feet in 6 seconds. At this speed:

How far does the penguin walk in 45 seconds?

How long does it take the penguin to walk 45 feet?

Explain or show your reasoning.


Answers

Answer 1
The penguin will walk 75.15 feet in 45 seconds.
It will take the penguin 26.95 seconds to walk 45 feet.
Through cross multiplication we can determine the unknown quantity we need
Answer 2

75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

penguin walks 10 feet in 6 seconds

At the same rate we need to find the distance walked by penguin in 45 seconds

Let x be the distance travelled by penguin in 45 seconds

10/6=x/45

Apply cross multiplication

45(10)=6x

450=6x

Divide both sides by 6

x=75

So 75 feet the penguin walk in 45 seconds.

Now let us find how long it takes for penguin to walk 45 feet.

Let x be the time

10/6=45/x

Apply cross multiplication

10x=270

Divide both sides by 10

x=27

In 27 seconds the penguin walk 45 feet.

Hence,  75 feet the penguin walk in 45 seconds and in 27 seconds the penguin walk 45 feet.

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Related Questions

Write the function in standard form.
f(x) = - 3(x - 7)2 + 15

Answers

Answer:

The answer is f ( x )  =  −  6 x  +  57

Step-by-step explanation:

I’m just testing to see how long it takes for someone to answer. Please answer!!!

Answers

Answer:

Um, hi...do you have a question at all??

Step-by-step explanation:

Question 3: If Eli’s odds of winning a game is 3:1, what is Eli’s probability of winning?

Answers

Answer:

25% chance of winning.

Step-by-step explanation:

Simplify (6^7)^3.
A. 6^21
B. 42^3
C. 6^10
D. (1/6)^21

Answers

Answer:

A. 6^21

Step-by-step explanation:

When you see a parenthesis in which the number inside has a power, and there is a power outside the parenthesis, you multiply the powers.

(6^7)^3 = 6^(7 * 3) = 6^21

A. 6^21 is your answer.

~

Answer:

A. 6^21

Step-by-step explanation:

The run times of a marathon runner are approximately normally distributed. The z-score for his run this week is – 2 . Which one of the following statements is a correct interpretation of his z-score?

Answers

Answer:

2 standard deviation under his average time

Step-by-step explanation:

The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the number of laps around the block the player could run immediately afterward (y). The equation of the regression line shown on the graph is y = 10 – 0.67x:
Use the equation above to predict the number of laps a player who ate 7 slices can run.

Answers

Answer:

5.31

Step-by-step explanation:

Given the regression line equation, [tex] y = 10 - 0.67x [/tex], where,

x = number of slices of pizza eaten

y = number of laps run immediately

Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:

[tex] y = 10 - 0.67x [/tex]

[tex] y = 10 - 0.67(7) [/tex]

[tex] y = 10 - 4.69 [/tex]

[tex] y = 5.31 [/tex]

15 less than a number is equal to 12​

Answers

Answer:

Step-by-step explanation:

x - 15 = 12

x = 27

HELP PLEASEE EASY QUESTION


Which statements are true about the polynomial function?

f(x)=x3−x2−4x+4

Select each correct answer.




f(x)=0 when x=−1 .

f(−1)=0

(x−1) is a factor of f(x) .

f(x) divided by (x−1) has a remainder of 0.

Answers

Answer:

D. f(x)  divided by (x−1)  has a remainder of 0.

C. (x−1)  is a factor of  f(x) .

Step-by-step explanation:

Just took a test with this question these are the answers!

The statements that are true about the polynomial function are;

(x−1) is a factor of f(x).  f(x) divided by (x−1) has a remainder of 0.

Given the polynomial function [tex]f(x)=x^3-x^2-4x+4[/tex]

If x = -1, hence;

[tex]f(-1)=(-1)^3-(-1)^2-4(-1)+4\\f(-1)=-1-1+4+4\\f(-1)=-2+8\\f(-1) =6[/tex]

This shows that f(x) ≠ 0 when x = −1 .

To check if x - 1 is a factor, we will substitute x = 1 into the function and check if the result is zero as shown:

[tex]f(1)=1^3-1^2-4(1)+4\\f(1)=1-1-4+4\\f(1) =0[/tex]

This shows that (x−1) is a factor of f(x).

This also shows that if f(x) divided by (x−1) has a remainder of 0.

Learn more here: https://brainly.com/question/18820029

Write 3 < x < 9 in interval notation.

Answers

Answer:

(3, 9)

Step-by-step explanation:

If we have ≤ or ≥, we use brackets to signify it includes the values.

If we have < or >, we use parenthesis to signify it doesn't include the values.

you drink a beverage with 120 mg of caffeine. Each hour, the amount m of caffine in a persons system decreases by 12%. About how much caffeine will be in your system after 3 hours? Round your answer to the nearest milligram

Answers

Answer:43.2

Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2

Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have

Answers

Answer:

a) Identify the variable of interest.

Ages of the residents

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

Step-by-step explanation:

a) Identify the variable of interest.

Ages of the residents

The center of a distribution tells us about the Mean or Median of the distribution

The spread of a distribution tells us about the standard deviation of the population

b) Describe the center and spread of the population of Sunshine City.

Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years

Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years

c) Describe the center and spread of the random sample of Sunshine City

residents taken.

Center of the random sample of Sunshine city = 61.4 years

Spread of the random sample of Sunshine city = 19 years

What shape does it probably have:

It has a skewed(left) shape

This is because the mean is farther out to the left side of the tail of the distribution.

Solve.

(5a^2 + 3) (4a^2 + 3)

Answers

Answer:

I think its a... carrot

Answer:

204+272+9

Step-by-step explanation:

An x-box cost $230 but is discounted 28%. What is the new cost of the x-box?

Answers

The new cost of the Xbox is $165.60

1.00 - 0.28 = 0.72

0.72 * 230 = 165.60

What is solution to 3/5=z/10

Answers

Z=6

Ps Vote Trump 2020
Z=6 tell me if you need work

how many inches smaller is a 13.26 inch worm than a 14.13 inch worm

Answers

.87 jsjsjdjdjdnwnwkoadodjdhjejeieisosossosjdjdjeiwiisjddjdjdididid

Which of the following equations can be used to model the number of meals someone will eat over a period of time if they eat three meals a day?

Answers

Answer:

1

Step-by-step explanation:

Answer:

3t + 5 = 32

and

3t+ 2 = 20

Step-by-step explanation:

i got it right :)

If
3y + 1
2
= 5,
4x
3
= 8
and
z
3
+
z
4
= 2


A. y > x B. x = y C. y > z D. x > z

Answers

Step-by-step explanation:

hey, write the question properly...

If the equation are 3y + 12= 5,4x - 3= 8 and z³ + z⁴ = 2, then x = y

Let's start by solving each equation one by one to find the values of the variables.

Equation 1: 3y + 12 = 5

Subtracting 12 from both sides:

3y = 5 - 12

3y = -7

Dividing both sides by 3:

y = -7/3

Equation 2: 4x - 3 = 8

Adding 3 to both sides:

4x = 8 + 3

4x = 11

Dividing both sides by 4:

x = 11/4

Equation 3: z³ + z⁴

This equation is a bit more complex, and it seems challenging to find the exact values of z. However, we can deduce some information about the relationship between z³  and z⁴ by examining the equation. Since both terms are positive, the sum of z³  and z⁴ can never be negative. Therefore, the only possible solution is when both z³  and z⁴  are less than 2.

Now, let's compare the values of y, x, and z:

y = -7/3 ≈ -2.33

x = 11/4 ≈ 2.75

z³ + z⁴ < 2 (as explained above)

Based on these values, we can determine the relationship between the variables:

A. y > x

B. x = y

C. y > z

D. x > z

The correct answer is: B. x = y

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How to Solve this??! 6x-2=x+13

Answers

Answer:

x=3

Step-by-step explanation:

We are given the equation, 6x-2=x+13.

1. 6x=x+15

2. 5x=15

3. x=3

Hope this helps! Good luck on your assignment!

Answer: x=3

Step-by-step explanation:

6x-2=x+13

First get both x’s on one side

We are going to subtract x from both sides

5x-2=13

Now we want to get 5x alone

We are going to add 2 to both sides

5x=15

Now we want to get x alone

We are going to divide by 5

x=3

A farmer wants to set up a pigpen using 40ft of fence to enclose a rectangular area of 51 square feet. Find the dimensions of the pigpen.

Answers

Answer:

The sides of the pigpen are 3 by 17

Step-by-step explanation:

Perimeter of pigpen => 2x + 2y = 40

Area of pigpen => xy = 51 (this is assuming x = length, and y = width)

Let's isolate "y" for the first equation;

2x + 2y = 40

2(x + y) = 40

x + y = 20

y = 20 - x

xy = x(20 - x) = 51 = 51

20x - x^2 = 51

x^2 - 20x + 51 = 0

According to the quadratic equation =>

x = ( - (- 20) + √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 17

x = ( - (- 20) - √(- 20)^2 - 4 * 1 * 50 ) / 2 * 1 = 3

The dimensions of the pigpen are actually 17 by 3

Proof: 17(3)= 51, 2(17) + 2(3) = 40

What is the equivalent of 7(7q+5)

Answers

Answer:

14q + 35

Step-by-step explanation:

Step 1: Write expression

7(7q + 5)

Step 2: Distribute 7 to each term

14q + 35

Answer please I need it ASAP

Answers

Answer:

answer what???

Step-by-step explanation:

Write the
slope-intercept form
of the equation of the
line described:

Perpendicular to y=x+4 and passes through the point (2,2)

Answers

Answer:

y=-1x+4

Step-by-step explanation:

If the tax rate is 7%, what is the tax on a $60 stuffed animal?​

Answers

Answer:

$4.20

nice

Step-by-step explanation:

Find the equation, in standard form, of the line passing through the points
(2,-3) and (4,2).
A. 5x+2y=16
B. 5x – 2y=16
C. y=5/2x+8
D. 2x – 3y=9

Answers

Answer:

B

Step-by-step explanation:

To solve for the slope:

(2-(-3))/(4-2)=5/2

y=5/2x+b

plugin points:

2=5/2(4)+b

2=10+b

b=-8

so equation of the line is y=5/2x-8

and in standrd form its 5x-2y=16

What is The opposite of -4

Answers

The opposite of -4 is 4

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour. The speed limit on this stretch of the freeway is 70 miles/hour. (a) A highway patrol officer is hidden on the side of the freeway. What is the probability that 5 cars pass and none are speeding? Assume that the speeds of the cars are independent of each other. (Round your answer to four decimal places.) .0074 (b) On average, how many cars would the highway patrol officer expect to watch until the first car that is speeding? (Round your answer to two decimal places.) What is the standard deviation of the number of cars he would expect to watch? (Round your answer to two decimal places.)

Answers

Answer:

a

[tex]G  =   0.007523 [/tex]

b

 The  number of cars the  highway patrol officer would watch before a  car that is seen is [tex]E(X) = 1.6027 [/tex]

The standard deviation is   [tex]s  =  0.9829 [/tex]

gg

Step-by-step explanation:

From the question we are told that

The mean is [tex]\mu = 71.5 \ miles/hour[/tex]

The standard deviation is [tex]\sigma = 4.75 \ miles/hour[/tex]

The speed limit is [tex] x = 70 \ miles /hour[/tex]

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

[tex]p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})[/tex]

=> [tex] p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )[/tex]

Here

[tex]\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )[/tex]

So

=> [tex] p= P(X > 70) = P(Z > -0.31579 )[/tex]

From the z-table

[tex]p = P(Z > -0.31579 ) = 0.62392[/tex]

So

[tex] p = P(X > 70) = 0.62392 [/tex]

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

[tex]q = 1 - p[/tex]

=> [tex]q = 1 - 0.62392 [/tex]

=> [tex]q = 0.37608 [/tex]

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

[tex]G = q^5[/tex]

=> [tex]G = (0.37608)^5[/tex]

=> [tex]G = 0.007523 [/tex]

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

[tex]E(X) = \frac{1}{p}[/tex]

=> [tex]E(X) = \frac{1}{0.62392}[/tex]

=> [tex]E(X) = 1.6027 [/tex]

Generally the standard deviation is mathematically represented as

[tex]s = \sqrt{\frac{1 - p }{ p^2} }[/tex]

=>     [tex]s  =  \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }[/tex]

=> [tex]s = 0.9829 [/tex]

The probability that 5 cars pass and none are speeding is 0.007523 and the number of cars the highway patrol officer would watch before a car that is seen is E(X) = 1.6027

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 miles/hour and a standard deviation of 4.75 miles/hour.

The speed limit on this stretch of the freeway is 70 miles/hour.

Generally, the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as;

[tex]p = P(X > x) = P(X > 70) = P(z = \dfrac{X - \mu}{\sigma } > \dfrac{70 - 71.5}{4.75})\\\\p = P(X > 70 ) = P(\dfrac{X -\mu}{\sigma} > -0.31579)[/tex]

From the z-table

[tex]p = P(X > 70)= P(z > -0.31579) \\\\p = 0.62392[/tex]

Generally, the probability of getting a car that is not moving with speed greater than the speed limit will be

q = 1 - p

q = 1 - 0.62392

q = 0.37608

Generally, the probability of getting cars that are not speeding will be

G = q⁵

G = 0.37608⁵

G = 0.007523

The number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten will be

[tex]\rm E(X) = \dfrac{1}{p}\\\\E(X) = \dfrac{1}{0.62392}\\\\E(X) = 1.6027[/tex]

The standard deviation will be

[tex]\sigma = \sqrt{\dfrac{1-p}{p}}\\\\\\\sigma = \sqrt{\dfrac{1-0.63292}{0.62392}}\\\\\\\sigma = 0.9829[/tex]

More about the normal distribution link is given below.

https://brainly.com/question/12421652

Simplify 3-8 divided by 3-2

Answers

Answer:

-5

Step-by-step explanation:

[tex] \frac{3 - 8}{3 - 2} [/tex]

[tex] \frac{ - 5}{1} [/tex]

[tex] - 5[/tex]

The answer is -5
3-8= -5
3-2=1
-5/1= -5
Hope this helps

On average, Joanne writes
9 emails per day. How long
will it take Joanne to write
279 emails?

Answers

Answer: 31 days

Explanation: You need to do 279 divided by 9 to find the amount of days it will take, and the answer is 31 days

Answer:

It will take 31 days (4 weeks and 3 days) to write 279 emails

Step-by-step explanation:

279 emails ÷ 9 emails per day = 31 total days to write 279 emails

What is the answer too −2/3(12c−9)+14c=

Answers

-2/3(12c - 9) + 14c

=-8c + 6 + 14c

=6c + 6

=6(c + 1)

Can someone please help me, ty!! (Will mark brainliest)

Answers

the third one is the correct answe
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