The following dot plot shows the pulse rates of runners after finishing a marathon:

dot plot with title of Pulse Rates of Marathon Runners, Pulse Rate on the x axis, and Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, 4 dots over 175

Which of the following data sets is represented in the dot plot?

{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}
{150, 160, 165, 175}
{1, 3, 5, 4}
{150, 160, 162, 164, 165, 165, 166, 167, 168, 175, 174, 176, 175}

Answer:  D. p(d) = 3(10000)p​

Step-by-step explanation:

The function is p(d) = 3(10000)p, where p is the bacteria population and the number of days, d. The correct answer would be option (D).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

As per the given situation, we can write the function would be as:

⇒ p(d) = 3(10000)p

It states that the population of the bacteria, p, is equal to the starting population of 10,000 multiplied by 3 number of days, d. This function correctly represents the idea that the population triples each day.

Hence, the correct answer would be an option (D).

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Answer:

He can run 8 miles in one hour.

Step-by-step explanation:

We have,

Jose can run 1 1/3 miles in 1/6 of  an hour.

We need to find how far he can run in one hour.

[tex]1\dfrac{1}{3}\ \text{miles}=\dfrac{1}{6}\ \text{hour}[/tex]

Now using unitary method,

[tex]1\ \text{hour}=\dfrac{4}{3}\times 6\ \text{miles}[/tex]

or

[tex]1\ \text{hour}=8\ \text{miles}[/tex]

So, he can run 8 miles in one hour.

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

Answer:

The value of P is 20 .

Step-by-step explanation:

Firstly, you have to create an expression in terms of p using the information :

[tex] \frac{p}{10} = 2[/tex]

Next, you have to multiply both sides by 10 :

[tex] \frac{p}{10} \times 10 = 2 \times 10[/tex]

[tex]p = 20[/tex]

Answer:

The answer would be twenty.

Step-by-step explanation:

P = 10 x 2

P = 20

Answer:

It is 0.30 or in words, 30 hundredth.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

We have been given that two datasets arranged in descending order are: [tex]\{8, x, 4,1\}[/tex] and [tex]\{9, y, 5,2\}[/tex]. We are asked to find the value of [tex](y-x)^2[/tex], if the medians of the two given datasets are equal.

First of all, we will arrange our given data sets in ascending order.

[tex]\{1,4,x,8\}[/tex] and [tex]\{2,5,y,9\}[/tex]

Since our data sets have 4 data points, so median will be average of middle two terms.

[tex]\frac{4+x}{2}[/tex] and [tex]\frac{5+y}{2}[/tex]

Now we will equate both median as we are told that median of both data sets are equal.

[tex]\frac{5+y}{2}=\frac{4+x}{2}[/tex]

Cross multiply:

[tex]2(5+y)=2(4+x)[/tex]

Divide both sides by 2:

[tex]\frac{2(5+y)}{2}=\frac{2(4+x)}{2}[/tex]

[tex]5+y=4+x[/tex]

[tex]5-5+y-x=4-5+x-x[/tex]

[tex]y-x=-1[/tex]

Let us square both sides of our equation.

[tex](y-x)^2=(-1)^2[/tex]

[tex](y-x)^2=1[/tex]

Therefore, the value of [tex](y-x)^2[/tex] would be 1.

Answer:

349.6

Step-by-step explanation:

P= 2(72.3) + 2(102.5)

Answer:

349.6

Step-by-step explanation:

Answer:

The tilt of the axis of Earth and orbit of Earth around the sun.

Step-by-step explanation:

Answer options

The rotation of the Earth and sun.

The tilt of the axis of Earth and orbit of Earth around the sun.

The orbit of the Earth around the sun and rotation of the Earth.

The orbit of the Earth around the sun and rotation of the sun.

Answer:

C - The orbit of the Earth around the sun and rotation of the Earth.

Step-by-step explanation:

Answer:

9043.20

Step-by-step ex planation:

V=π[tex]r^2[/tex]h

V= π [tex](12)^2[/tex] (20)

V=2880(π=3.14)

V=9043.2 and in hundreths that would be 9043.20

Answer:

Step-by-step explanation:

These equations are all written in slope-intercept form, so the question is relatively easy to answer. These rules apply.

1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

_____

Slope-intercept form is ...

  y = mx +b

m is the slope

b is the y-intercept

Answer:

Step-by-step explanation: 1. y=-6x-2; y=-6x-2 --- infinitely many

2. y=0.5x+5; y=0.5x+1 --- zero

3. y=0.25x-2; y=5x-4 --- one

4. y=2x+3; y=4x-1 --- one

5. y=2x+1.5; y=2x+1.5 --- infinitely many

6. y=-x-3; y=-x+3 --- zero

Answer:

the radious is half the diameter

Step-by-step explanation:

Answer:

x < 18 - 10

x < 8

Step-by-step explanation:

Answer:

8 > x

Step-by-step explanation:

-10 > x- 18

Isolate the variable, x. Note the inequality sign, treat it like an equal sign; what you do to one side, you do to the other. Add 18 to both sides:

-10 (+ 18) > x - 18 (+18)

-10 + 18 > x

Simplify. Combine like terms:

(-10 + 18) > x

18 - 10 > x

8 > x

8 > x is your answer.

~

Answer:C

Step-by-step explanation:

3.1 x 10^(-4) x 8.5 x 10^(-2)

3.1 x 8.5 x 10^(-4) x 10^(-2)

26.35 x 10^(-4-2)

26.35 x 10^(-6)

2.635 x 10^1 x 10^(-6)

2.635 x 10^(1-6)

2.635 x 10^(-5)

Answer:

7cm²

Step-by-step explanation:

Answer:

B.)

Step-by-step explanation:

A linear equation, remember, is y = mx + b.

Identify.

A.) y = 2x + 3

B.) y = 5x^2 - 10x

C.) y = 5x - 2

D.) y = 8x

Eliminate.

Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.

Hope that helped.

Answer:

A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975. (a) Data collected in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of 8 inches and a standard deviation of 2.5 inches. Find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches.

Step-by-step explanation:

Let X be a random variable which represents the diameters of aspan trees of a park in 1975.

Given that,  X ~ N(8, 2.52)

Mean (μ) = 8 inches

Standard deviation (σ) = 2.5 inches

We have to obtain P(X < 5.5 inches)

We know that if X ~ N(μ, σ²) then, X-M Z=1 ~ N(0,1)

P(X< 5.5) =    P( X- μ < 5.5 - μ)

                           σ         σ

P(X<5.5) = P(Z < 5.5 – 8  )

                               2.5

P(X<5.5) = P(Z < -1)

Using "pnorm" function of R we get, P(Z < -1) = 0.1587

:: P(X < 5.5) = 0.1587

The probability that a randomly selected Aspen  tree in the park in 1975 would have a diameter less than 5.5 inches is 0.1587.

Answer:

No it does not work because 85 does not equal 100.

Step-by-step explanation:

so you would try the formula a2+b2=c2

2^2+9^2=10^2

4+81=100

85=100

No it does not work because 85 does not equal 100.

Answer:

Answer:C. 4 m, 3 m, 4 m, 4 m

Step-by-step explanation:

the sides in a parallelogram need to be equal to the opposite side making them the same length.

A parallelogram is a quadrilateral in which the opposite sides are parallel. The opposite sides and opposite angles are also equal.

Looking at the given options,

A) the opposite sides are equal to 2 yards. Therefore, it is a parallelogram.

B) the opposite sides are equal to 2cm and 3cm each. Therefore, it is a parallelogram.

C)A pair of opposite sides is equal to 4 cm and the other pair of opposite sides is unequal because one side is 3m and the other is 4 m. Therefore, it is not a parallelogram.

D) the opposite sides are equal to 5 in and 3 in each. Therefore, it is a parallelogram.

Hope this helps!!!

Answer:I think 15

Step-by-step explanation:

Answer:

[tex]z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(z>1.104)=0.135[/tex]  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Step-by-step explanation:

Information given

[tex]\bar X=31.3[/tex] represent the sample mean

[tex]\sigma=\sqrt{3.61}= 1.9[/tex] represent the population deviation

[tex]n=110[/tex] sample size  

[tex]\mu_o =31.1[/tex] represent the value to verify

[tex]\alpha=0.1[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to check if the true mean for this case is higher than 31.1 MPG, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 31.1[/tex]  

Alternative hypothesis:[tex]\mu > 31.1[/tex]  

Since we know the population deviation the statistic would be given by:

[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]z=\frac{31.3-31.1}{\frac{1.9}{\sqrt{110}}}=1.104[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(z>1.104)=0.135[/tex]  

Since the p value is higher than the significance level provided of 0.1 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean for this case is higher than 31.1MPG using a significance level of 10%. So then the cliam makes sense

Answer: 95.5

Step-by-step explanation:

If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5

Answer:

the answer should be 158 but I'm not a hundred percent sure

Answer:

180 Passenger Car Tires and 5 Tractor Tires should be produced in order to maximize profit.

Step-by-step explanation:

Here, we can form two equations from the given situation.

First, we are given that the total raw tube units are 1000. And 5 units are required for passenger car tire, while 20 units are required for tractor tire. So, the equation becomes:

5 x + 20 y = 1000   -------- eqn (1)

where,

x = no. of passenger car tires produced

y = no. of tractor tires produced

Another condition is given that, maximum labor cost should be $ 15,000. Since, the labor cost is $80 for a passenger tire and $120 for a tractor tie. Thus, the equation becomes:

80 x + 120 y = 15000   -------- eqn (2)

Solving eqn (1) and eqn (2), simultaneously, we get:

x = 180

y = 5

Therefore,

No. of Passenger Car Tires Produced = x = 180

No. of Tractor Tires Produced = y = 5

Answer:

Assuming this is a 45 - 45 - 90 right triangle, The answer would be B) Two sides have the same length, which is less than the length of the third side

Hence statements stated true false along with reason

A triangle is a three-sided polygon with three edges and three vertices in geometry. The sum of a triangle's interior angles equals 180 degrees is the most significant feature of a triangle.

Triangle of Isosceles: Triangle with Obtuse Angle

Triangle Inequality in the Scalene Triangle

Triangle Surface Area: Triangle with Sharp Angle

Triangle with Right Angles: Triangle Form of Pascal...

Given a triangle and statements related to it let's check

Each side has a different length.

-This statement can't always be true as in equilateral triangle all sides are equal

Two sides have the same length, which is less than the

length of the third side.

-this statement is correct but when it is a right angles triangle where other two anges are 45degrees each then this can't be true.

The three sides have the same length.

-this statement is true for equilateral triangle

D. The sum of the lengths of two sides is equal to the

length of the third side.-

-This statement is true when we talk of only right angled triangle

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Answer:

90% probability that a student who receives an A in statistics will also receive an A in calculus

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: A in statistics.

Event B: A is calculus

Twenty percent of students in a statistics course receive A’s.

This means that [tex]P(A) = 0.2[/tex]

Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.

Thirty percent of students in a calculus class receive an A.

This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]

What is the probability that a student who receives an A in statistics will also receive an A in calculus?

[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]

90% probability that a student who receives an A in statistics will also receive an A in calculus

Answer:

Su pago mensual sería de $9.06 (Espero que esto ayude)

Step-by-step explanation:

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

The value of the circumference of the given circle is 9π cm OR 28.278 cm

From the question, we are to determine the circumference of the circle.

The circumference of a circle can be calculated by using the formula,

C = πd

Where C is the circumference of the circle

and d is the diameter

From the diagram,

d = 9 cm

Therefore,

Circumference of the circle = π × 9

Take π = 3.142

Then,

Circumference of the circle = 28.278 cm

Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm

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Answer:

3

Step-by-step explanation:

(8x + 28) / ((x − 1) (x + 2) (x + 3)) = A / (x − 1) + B / (x + 2) + C / (x + 3)

Multiply both sides by (x − 1) (x + 2) (x + 3).

8x + 28 = A (x + 2) (x + 3) + B (x − 1) (x + 3) + C (x − 1) (x + 2)

If x = 1:

8 + 28 = A (3) (4)

36 = 12A

A = 3

Answer:

The first one

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

Step-by-step explanation:

Since we have given that

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

According to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

so, Horizontal axis - y- axis is the "Number of computers".

Vertical axis - x- axis is the "Advertising cost "

The set of units and scales are appropriate for the two axes

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

From to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

So, Horizontal axis - y- axis shows the "Number of computers".

and, Vertical axis - x- axis shows the "Advertising cost ".

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