We will assume that the smiling times of an eight-week-old baby, in seconds, follow a uniform distribution between zero and 23 seconds, inclusive. What is the probability that a randomly chosen eight-week-old baby smiles between two and 18 seconds

Answer:(x-3)² + (y-2)² = 25

Step-by-step explanation:

A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².

So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.

Answer:

(x - 3)² + (y - 2)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (3, 2 ) and r = 5 , then

(x - 3)² + (y - 2)² = 5² , that is

(x - 3)² + (y - 2)² = 25 ← equation of circle

The probability that Angela gets to go to the meeting is 2/5 or 0.4.

What is probability?

There are a total of 5 people in the club, and they need to pick 2 people to go to the meeting. The number of ways to pick 2 people out of 5 is given by the binomial coefficient:

C(5,2) = 5! / (2! (5-2)!) = 10

This means there are 10 equally likely outcomes, which can be represented by the following probability model:

Outcome            Angela goes to meeting?                 Probability

A,B                                    Yes                                              1/10

A,C                                    Yes                                              1/10

A,D                                    Yes                                              1/10

A,E                                     Yes                                              1/10

B,C                                      No                                              1/10

B,D                                      No                                              1/10

B,E                                       No                                              1/10

C,D                                      No                                               1/10

C,E                                       No                                               1/10

D,E                                       No                                               1/10

The probability that Angela gets to go to the meeting is the sum of the probabilities of the outcomes where Angela goes to the meeting:

P(Angela goes to meeting) = P(A,B) + P(A,C) + P(A,D) + P(A,E)

= 1/10 + 1/10 + 1/10 + 1/10

= 4/10

= 2/5

Therefore, the probability that Angela gets to go to the meeting is 2/5 or 0.4.

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Answer:

455.8?

Step-by-step explanation:

$430 (tax: x,-,+) = 455.8.

tax: 25.8

Sorry if this is wrong.

Have a great day/night.

The answer choices which correctly fills the blanks in the task content are;

As evident in the task content; An outlier exists among the plotted data points. However, on general observation, when the value of x increases, the value of y decreases.

On this note, the statement which is true about the given scatter plot is;

The scatter plot shows a negative linear with one outlier correlation because as the plotted values of x increases, the values of y generally decreases.

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Answer:

  1.6 N/kg

Step-by-step explanation:

The units of gravitational field strength are newtons per kilogram. The joule is a derived unit equivalent to a newton·meter.

Then the field strength is ...

  newtons/kg = (1.2 N·m)/((1 m)(0.75 kg)) = 1.6 N/kg

3900000×18% = 702000

702000÷2500 = 280.8 per share dividend

450×280.8 = 126360

Answer:

78 eggs

Step-by-step explanation:

13 × 6 = 78 eggs

Hope this helps! :)

Answer:

Yes it would be 6x13=78

Step-by-step explanation:

cross multiplication and divide:

1 cartoon = 6 eggs

13 cartoons = x

Answer: it is not rational.

Step-by-step explanation: 2 to the power of 3 is 8. 2 to the power of 6 is 64. 64x8 is 512. 512 is not a perfect square therefore it is a irrational number.

Answer:

No - it actually has no solution.

Step-by-step explanation:

Answer: She needs to get 99 on her next test.

Step-by-step explanation:

The area of the rectangle is 2w² + 3w

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel.

The area of a rectangle is expressed as;

A = l× w

where l is the length and w is the width

the length is 3 more that twice the width

l = 3 + 2w

A = l × w

A = (3 + 2w)w

A = 3w + 2w²

Therefore the area of the rectangle is 2w² + 3w

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Answer:

A

Step-by-step explanation:

3-3= 3(9-9)

0= 0

thanks

Answer:

(9, 3)

Step-by-step explanation:

Hi there!

I provided a graph of the function below to help.

If you take a quick look, the graph goes through point (9,3)

I hope this helps!

Answer:

x=11.429

Step-by-step explanation:

10x+4x-15=145

14X=160

x=11.429

Answer:

11.43

Step-by-step explanation:

Combine like terms 10x and 4x to get 14x.your new equation is 14x-15=145 add 15 on both sides and then you get 14x=160. 160/14 = 11.43 rounded to the nearest hundredth

Answer:

8 tablets

Step-by-step explanation:

Answer:

8 tablets

Step-by-step explanation:

240/30

Answer:

lol

Step-by-step explanation:

Answer:

The associative property can be used with multiplication and addition.

Examples:

2+(3+2) -> (2+3)+2 (Associative Addition)

2*(3*2) -> (2*3)*2 (Associative Mult.)

It does not work with division or subtraction.

2-(3-2) does not equal (2-3)-2

Answer:

a)-3+2x=y

b)-3+2(-6)=y

y=-15

Step-by-step explanation:

hope i helped youu

Volume is a three-dimensional scalar quantity. The height of the cuboid is 7 cm.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the cuboid is 385cm³, the length of the cuboid is 10cm, while the width of the cuboid is 5.5 cm, therefore, the height of the cuboid is,

385cm³ = 10cm × 5.5cm × H

H = 385cm³/(10cm×5.5cm)

H = 7cm

Hence, the height of the cuboid is 7 cm.

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Answer:

8 hours

Step-by-step explanation:

Let x = the hours she work

Equation-

1.  20x + 12 = 172

2.         - 12   - 12

     20x = 160

3.   /20    /20

4.  x= 8 hours

1. Write out the equation

2. subtract 12 from both sides

3. Divide 20 on both sides

4. Your answer is 8 hours

She should come to work on time and work at least 8 hours to earn $ 172 a day.

Given that a computer engineer is paid $ 20 per hour and $ 12 for coming to work on time, to determine how many hours must she work to earn a minimum of $ 172, the following calculation must be performed:

Therefore, she should come to work on time and work at least 8 hours to earn $ 172 a day.

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Answer:

152

Step-by-step explanation:

The required measure of the angle ∠JML  is given as 98°.

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
∠KLM = ∠MJK = 103°
∠ JKL = 2×28 = 56°

The required measure of the ∠JML is given as,
A quadrilateral has 4 angles. The sum of its interior angles is 360 degrees. So the sum of the angle of the kite is equal to 360°

∠KLM + ∠ JKL + ∠MJK + ∠ JML = 360

103 + 56 + 103 + ∠JML = 360
∠JML = 98°

Thus, the required measure of the angle ∠JML  is given as 98°.

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Answer: x=1.21

Step-by-step explanation:

Given

Function is \(f(x)=0.8e^{2x}-9\)

To find the zeroes, equate the function equal to zero

\(\Rightarrow 0.8e^{2x}-9=0\\\\\Rightarrow e^{2x}=\dfrac{9}{0.8}\\\Rightarrow e^{2x}=11.25\)

taking natural logarithm both sides

\(\Rightarrow \ln (e^{2x})=\ln (11.25)\\\Rightarrow 2x=2.42\\\Rightarrow x=1.21\)

The zero of the equation is 1.21

It is proved that m = √n.

To prove that given a nonnegative integer n, there is a unique nonnegative integer m, we just need to take the square root of the given equation:

m^2 ≤ n < (m + 1)^2.

So, after taking the square root, it will be:

m ≤ √n < m + 1

From that we can see m = √n is the unique m.

A nonnegative integer is an integer which is either positive or zero. It is the union of the natural numbers and the number zero. Occasionally, it is referred to as Z*, and it can be described as the set {0, 1, 2, 3, 4, 5, …}. In other words, nonnegative integers are integers that are not negative.

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Although part of your question is missing, you might be referring to this full question: Prove that given a nonnegative integer n, there is a unique nonnegative integer m such that m^2 ≤ n < (m+1)^2.

The answer after performing mathematical operation is 8.97998 .

What is mathematical operations?

  In order to add, subtract, multiply, or divide two or more quantities, one must perform a series of four fundamental operations known as mathematical operations. They involve the study of numbers and the order of operations, which are important in all other areas of mathematics like algebra, data processing, and geometry. Without employing mathematical operation rules, we are unable to solve the issue. The addition, subtraction, multiplication, and division operations all follow the same four fundamental rules.

Here the given ,

=> 5.87998 + 3.100

=>  5.87998

  + 3.10000

--------------------

    8.97998

=> 5.87998+3.100=[8.97998]

Hence after performing mathematical operations the answer is 8.97998.

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Step-by-step explanation:

Let's call the two numbers x and y, where x is the larger number.

According to the problem, we know that: x - y = 46

To minimize the product xy, we can use the fact that for any two given numbers, their product is minimized when they are as close as possible to each other.

So, we want to find values of x and y that satisfy the equation above and are as close as possible to each other.

If we add y to both sides of the equation, we get:

x = y + 46

Now, we can substitute this expression for x into the equation xy to get: xy = y(y+46)

Simplifying this expression, we get: xy = y^2 + 46y

To minimize this quadratic expression, we can use calculus by taking its derivative with respect to y and setting it equal to zero:

d/dy (y^2 + 46y) = 2y + 46 = 0

Solving for y, we get: y = -23

Substituting this value of y back into the equation x = y + 46, we get: x = -23 + 46 = 23

So the two numbers that will minimize the product are -23 and 23, since their difference is 46 and they are as close as possible to each other

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

2x+1=4x-19

20=2x

x=10

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

  y=mx+b is the slope intercept formula

The given equation is y=2x-7.

By comparing to slope intercept formula y=mx+b,

   m=2 and b=-7.  

   So the slope of the given equation is 2 and y-intercept is (0,-7).

we know that,

             m=rise/run

             so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

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The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer: B

Step-by-step explanation: Hope this helps:)

Answer: 7(5+2)

Step-by-step explanation:

In distributive form, you are multiplying a number to each term of an expression. We need to find a common number between 35 and 14 to write this into distributive form.

7(5+2)

Answer:

7*(5+2)

Step-by-step explanation:

35+14= 7*5+7*2= 7*(5+2)