What’s the unit rate for three dollars for 2 1/2 hours of work

It is impossible to travel for the same 60-mile distance home to average 60mph over the entire trip.

car travels a distance of 60 miles long and averages 30 miles per hour. As a result,

time = distance/speed = 60/30 = 2

the car traveled for 2 hours.

The car would have to travel for exactly 2 hours (120/60) to average 60 mph over 120 miles.

Because the car has already traveled for two hours, it is impossible for it to average 60 mph for the duration of the journey.

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distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation is 0, 1, 2, ..................104000.

let, x denote the total number of hits,

y denotes the number of hits by a particle in a year or an individual,

one per week ⇒ 52 per year

therefore, rate = 52 per year

since it is very rare to hit all individuals, we can use Poisson distribution.

therefore by using the formula p (x = x) = (e^(-rate) × rateˣ) ÷ x! ; x = 0, 1, 2, ............( 2000 × 52)

p (x = 2) = (e⁻⁵² × 52ˣ) ÷ x! ; x = 0, 1, 2, ............104000

now each hit has a harm of probability 10⁻⁵.

so p(total no. of tumors produced over a one year period)

= {e⁻⁵² × 52ˣ} ÷ x! × 10⁻⁵ ; x = 0, 1, 2, ............104000

therefore total no. of tumors = 2000 × (e⁻⁵² × [tex]52^{x.10^{-5} }[/tex] ) ÷ x!  × xⁿ ; x = 0, 1, 2, ............104000

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(complete question)

Assume that each of the 2000 individuals living near a nuclear power plant is exposed to particles of a certain kind of radiation at an average rate of one per week. Suppose that each hit by a particle is harmless with a probability of 1 - 10⁻⁵, and produces a tumor with a probability of 10⁻⁵. Find the approximate distribution of the total number of tumors produced in the whole population over a one-year period by this kind of radiation.

The value of cos 2x = -21/25.

Given:

cos x = -2/5

we know that,

cos 2x = [tex]2cos^{2}x -1[/tex]

= 1([tex](-2/5)^{2}[/tex] - 1

= 1[tex](2/5)^{2}[/tex] - 1

= 1*4/25 - 1

= 4/25 - 1

= 4 - 25 / 25

= -21/25.

Therefore the value of cos 2x = -21/25.

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Answer:

ummm im going to guess c.

Step-by-step explanation:

The simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

The numerator indicates the total number of selected equal parts. Whereas, the denominator indicates the total number of equal parts.

       We have the expression

     3/(x-2) + (x-2) / (x²-4x+4)

Simplifying   x²- 4x +4  gives (x-2)².

Therefore, we can write the expression as

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

          = 4/(x-2).

Therefore, the simplest form of the expression has 4 in the numerator and (x-2) in the denominator.

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a.

The congruence statement:

ΔNKM ≅ ΔTPR.

since given ΔKMN ≅ ΔPRT.

KM = PR

MN = RT

KN = TP.

b.

The side is congruent to TR is MN.

TR = MN.

c.

TR = MN

4x - 3 = 25

4x = 25 + 3

4x = 28

divide by 4 on both sides

4x/4 = 28/4

x = 7.

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Answer:

C; -21/10X + 23

Step-by-step explanation:

Combine like terms and simplify

final answer:

Hence, the simplest form of (64/25) -1/2 is 5/8

Step-by-step explanation:

answer is D

if u like it mrk me as brainliest

Answer: d) 7a-11b

Step-by-step explanation:

First collect all like terms

9a - 2a - 10b - b

= 9a - 2a = 7a

= -10b - b = -11b

Therefore the answer is 7a - 11b (D)

The equations of lines are given below.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The equation for line a is,

x=-5.

The equation for line b is,

x=5.

The equation for line c is,

y=5.

The equation for line d is,

y=-2.

The equation for line e is

x+y=1

The equations of lines are given above.

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By using the concept of Probability, the result obtained is -

Probability of guessing the correct order = [tex]\frac{1}{720}[/tex]

What is Probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

There are 10 numbers from 1 to 10

Number of favourable outcomes = 10 [tex]\times[/tex] 9 [tex]\times[/tex] 8

                                                       = 720

There is only one correct order

So probability of guessing the correct order = [tex]\frac{1}{720}[/tex]

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Correct Question

To test Jake's abilities, Rosa chooses 3 different numbers

from 1 to 10. Rosa then asks Jake to identify which 3 of the 10 numbers she chose in the correct order.

Assume that Jake has no special abilities and is randomly guessing the numbers. What is the probability that Jake correctly identifies all 3 numbers in the correct order?.

Answer:

13

Step-by-step explanation:

2y - 3;

y = 8;

 ---> 2*8 - 3 =

16 - 3 = 13

Cora is flipping three coins at once. The probability that the number of landed coins showing "heads" is less than 3 is 0.875

Probability is a measure how likely an event occurs. Probability of an event A is calculated as:

P(A) = number of ways A can occur / total possible outcomes

Let A and B be independent events, then the followings hold:

P (A and B) = P (A∩B) = P(A) + P(B)

P (A or B) = P (A∪B) = P(A) · P(B)

P (not A) = P(Ā) = 1 - P(A)

In the given problem, H is an event where the number of landed coins showing heads.

The probability distribution for H is:

P(H = 0) = 0.125

P(H = 1) = 0.375

P(H = 2) = 0.375

P(H = 3) = 0.125

The probability of three coins show heads less than 3 is:

P(H < 3) = 1 - P(H=3)

             = 1 - 0.125 = 0.875

It can also be obtained using:

P(H<3) = P(H=0) + P(H=1) + P(H=2)

           = 0.125 + 0.375 + 0.375

           = 0.875

Hence, the probability of three coins show heads less than 3 is 0.875.

Complete question:

Cora is playing a game that involves flipping three coins at once. Let the random variable H be the number of coins that land showing "heads". Here is the probability distribution for H:

P(H = 0) = 0.125, P(H = 1) = 0.375, P(H = 2) = 0.375, P(H = 3) = 0.125. What is the probability H is less than 3.

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Answer: 20 loaves

Step-by-step explanation:

3/5 = .6

12/.6 = 20

I’m not 100% sure but this is what I believe is the answer

20 Loaves

The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow is 57%.

This refers to how many times a particular type of occasion takes place within the total number of observations. This type of frequency uses percentages, fractions, and proportions.

Formula for calculating Relative Frequency:

Relative Frequency =         Count of event

                                   Total number of Observation

From the question:

No of students that like Gym Juice in Elim School =5

No of students that like Energy Flow in Elim School =10

Total Number of students in Elim School =15

No of students that like Gym Juice in Cook Middle School =15

No of students that like Energy Flow  in Cook Middle School =20

Total Number of students in  Cook Middle School  =35

Calculating The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy flow:

Relative Frequency =         Count of event

                                   Total number of Observation

Relative Frequency =       20

                                          35

                                    =0.57 or 57%

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Answer:

-1, 3, 7

Step-by-step explanation:

this is adding 4 every time

hopes this helps please mark brainliest

Answer: -1, 3, 7

Explanation: The pattern in this sequence, is that you add 4 for every new number in the sequence. So -5+4 is -1. Then the next one would be -1+4 is 3. And then finally, the next one would be 3+4, which is 7.

Answer:

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

This is a quadratic function and it can get maximum at vertex.

The x-coordinate of the vertex is determined by x = - b/(2a).

We have:

Find the value of x:

Correct choice is B.

Answer:

a.

b.

e.

I think I hope this helps

Answer:

No Possible Triangle

Step-by-step explanation:

Sine cannot be greater than 1

No Possible Triangles

Answer:

Step-by-step explanation:

In the book, they gave you the values of 'a', 'b', and 'c', and you're supposed to find the value of 'd'.

If you have two points on the line, then the slope of the line is

                      (the change in 'y') divided by (the change in 'x') .

If the two points are (a, b) and (c, d), then the slope of the line is

                      (d - b) divided by (c - a),

and you have to find the value of 'd' that makes that whole expression

equal to 1/2.

                                     (d - b) / (c - a) = 1/2

Multiply each side by  (c - a):     (d - b) = 1/2(c - a)

Add 'b' to each side:                    d        =  1/2(c - a)  +  b

If you know the values of 'a', 'b', and 'c', you can find the value of 'd'.

In the triangle ABC, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

We are given a triangle. The vertices of the triangle are A, B, and C. The measures of the angles ∠A, ∠B, and ∠C are 36°, 84°, and 60°, respectively. We need to arrange the side lengths in order from the greatest to the least.

The side lengths are proportional to their opposing angles in a triangle. It means that the side opposite the largest angle is the largest side, and vice versa. The angles arranged in descending order are : 84° > 60° > 36°. The angles arranged in descending order according to the vertices are : B > C > A. The order of the lengths of the opposite sides must be the same.

Hence, the side lengths, in order from the greatest to the least, are : AC > AB > BC.

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Answer:

131

Step-by-step explanation:

14+13(10-1)

14+13(9)

14+117

131

Answer:

The solution is 131

Step-by-step explanation:

I think we must prioritize multiplication

14+13(10-1)

= 14+13(9)

= 14+117

= 131

The probability that exactly 14 seeds will germinate is 0.109

According to the company, 80% of lima bean seeds germinate.

Callie purchases 20 lima beans.

To determine: the likelihood that exactly 14 seeds will germinate.

We use the binomial distribution to obtain the required probability when we need to track the success and failure of multiple objects (multiple Bernoulli trials)

Let X be the random variable that tracks the number of seeds that germinate out of a total of 20 seeds. The success rate is 80%, or 0.8.

Thus X ~ B(20,0.8)

The probability of X = x is given by:

P(X=x) = 20[tex]C_{x}[/tex][tex](0.8)^{x}[/tex][tex](1-0.8)^{20-x}[/tex]

Thus

P(X=14) = 20[tex]C_{14}[/tex][tex](0.8)^{14}[/tex][tex](1-0.8)^{20-14}[/tex]

P(X=14) = 38760 × 0.04398 × 0.000064 = 0.109

The probability that exactly 14 seeds will germinate is 0.109

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a. g(x) is a function that is an output multiple of 3 of f(x), g(x) is {(1, 6), (3, 15), (5, 3)}.

b. g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(x) that is {(1, 2), (3, 5), (5, 1)}.

Now g(x) is a function that is an output multiple of 3 of f(x).

∴ g(x) is {(1, 2×3), (3, 5×3), (5, 1×3)}.

g(x) is {(1, 6), (3, 15), (5, 3)}.

g(x) is a vertical stretch as the output (y-axis) has been multiplied by a factor of 3 so it is stretched 3 times of the f(x).

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a) The domain of the function is {2,3,4,5,6},

The range of the function is {0,1,2,3,4}

b) The domain of the function is {-3,-1,1,3,4}

The range of the function is {1,3,-2,2,6}

Given,

Domain and Range;-

The domain of a function is the set of values that we are allowed to enter into our function. This collection represents the x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection contains the values that the function returns when we enter an x value.

Here,

a) Domain is the set of x values:

x={2,3,4,5,6}

The range is the set of y values:

y={0,1,2,3,4}

b) Domain is the set of x values:

x={-3,-1,1,3,4}

The range is the set of y values:

y={1,3,-2,2,6}

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The equation of a line is y = mx +b

m = slope - which is equal to 1

x = x coordinate

b = y intercept (where the line hits the y axis)

y = y coordinate.

The point (2, 0) shows that when x = 2, y = 0. So we can plug that into the equation:

0 = 1(2) + b

0 = 2 + b

0 - 2 = 2 -2 +b

-2 = b

So the equation of the line is y = x - 2

I hope this helps!

Different arrangements of candidates are possible is 210.

Given:

There are 7 students on a team. if they must elect a president, a vice president, and a treasurer.

Number of arrangements = [tex]7_p_{3}[/tex]

= 7!/(7-3)!

= 7!/4!

= 7*6*5*4! / 4!

= 7*6*5*1

= 42*5*1

= 42*5

= 210

Therefore Different arrangements of candidates are possible is 210.

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A total of 14 additives were included here in a study of the effects of various health additives on various top runners.

One-Way ANOVA Test :;Uses one-way analysis of variance (ANOVA) to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups.

Need of One way ANOVA :

When working with individuals, this situation can be encountered using two different types of study designs group. Then have each group perform a different task and measure the outcome/response to the same dependent variable. In the given problem, the term "Between" in the source table refers to processing. The term "within" refers to the error term. The inner term represents the variability that exists between runners. The total number of

additives is one more than his total number of

degrees of freedom (df). Total degrees of freedom for = N – 1. Total degrees of freedom = 18,so N= 19

Hence, total additives for given study is 19.

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Complete Question:

study was made on the effects of several health additives for a number of elite

runners. The results of a One-Way ANOVA are presented in the following table.

how many additives were in the study?

Source। Df Sum of Squares MS

Between 3 55.00

Within 15 450.00

Total 18 505.50

A. 18

B. 19

C. 7

D. 8