2. there are six new babies in the nursery lying in cribs one through five. ingrid is working today and has no idea what any of the baby's names are. when the new parents come to pick up their babies she needs to make sure to give them the right ones. she knows that the baby's names are kelsie, kevin, klyde, james, and janie. she has found a few clues to help her name each baby. kelsie and janie are the only girl's names. baby 1 has a sign in its crib that has a "j" on it. babies 2 and 5 are twins and their names start with the same letter. baby 1 is a girl. the twins' names have the same number of letters. baby 3 is a boy. kelsie and klyde are lying next to each other.

The problem in statistics is given to five students, A, B, C, D, and E, with respective chances of solving it as 1/2, 1/3, 1/4, 1/5, and 1/6. The task is to calculate the probability that the problem will be solved.

To find the probability that the problem will be solved, we need to consider the complementary probability that none of the students will solve it. Since the probabilities of individual students solving the problem are independent, we can multiply their probabilities of not solving it.

The probability that student A does not solve the problem is 1 - 1/2 = 1/2. Similarly, the probabilities for students B, C, D, and E not solving the problem are 2/3, 3/4, 4/5, and 5/6, respectively.

To find the probability that none of the students solve the problem, we multiply these probabilities:

(1/2) * (2/3) * (3/4) * (4/5) * (5/6) = 120/720 = 1/6

Therefore, the probability that the problem will be solved is equal to 1 minus the probability that none of the students solve it:

1 - 1/6 = 5/6.

Hence, the probability that the problem will be solved is 5/6 or approximately 0.8333.

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Complete Question

Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest such bag on the market if its mean breaking strength is at least 50 pounds. In order to provide statistical evidence that the mean breaking strength of the new bag is at least 50 pounds, the manufacturer randomly selects a sample of n bags and calculates the mean _ x of the breaking strengths of these bags. If the sample mean so obtained is at least 50 pounds, this provides some evidence that the mean breaking strength of all new bags is at least 50 pounds. Suppose that (unknown to the manufacturer) the breaking strengths of the new 30-gallon bag are normally distributed with a mean of m 5 50.6 pounds and a standard deviation of s 5 1.62 pounds. a Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n=4

Answer:

\(X=(48.98,52.22)\)

Step-by-step explanation:

From the question we are told that:

Sample Mean \(\mu=50.6\)

\(\sigma =1.62\)

Sample size \(n=4\)

Level of significance \(\alpha 100-95.4=>4.56\)

Therefore

\(Z-value( \alpha/2)=2\)

Generally the equation for Interval is mathematically given by

\(X=\mu \pm z(alpha/2)* \frac{sd}{sqrt(n)}\)

\(X= 50.6 \pm z(0.0456/2)* \frac{1.62}{sqrt(4)}\)

\(X=50.6 \pm 2*\frac{1.62}{2}\)

\(X=(48.98,52.22)\)

The correct decision is to accept the alternative hypothesis (Ha: M ≠ 5850) and conclude that the population mean is not equal to 5850 based on the given sample data.

To determine the correct decision for the hypothesis test, we need to compare the 95% confidence interval for the population mean with the null hypothesis value.

Null hypothesis (H0): M = 5850

Alternative hypothesis (Ha): M ≠ 5850

In this case, the null hypothesis assumes that the population mean (M) is equal to 5850, while the alternative hypothesis suggests that M is not equal to 5850.

The 95% confidence interval for the population mean is ($5938.42, $6546.32). If the null hypothesis value of 5850 falls within this confidence interval, we fail to reject the null hypothesis. If the null hypothesis value is outside the confidence interval, we reject the null hypothesis in favor of the alternative hypothesis.

Comparing the null hypothesis value with the confidence interval:

5850 < $5938.42 or 5850 > $6546.32

Since the null hypothesis value of 5850 falls outside the confidence interval, we reject the null hypothesis at the 5% level of significance. The correct decision is to accept the alternative hypothesis (Ha: M ≠ 5850) and conclude that the population mean is not equal to 5850 based on the given sample data.

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Answer: x + y = 150

Explanation

y - 65 = 110

y = 110 + 65 (Alternate Interior)

y = 175

y - 65 = 110

∠FGH = 70

70+55+x+45+110 = 360 (sum of angles of a quadilateral is 360)

x + 280 = 360

x = 360 - 280

x = 80

So

x + y = 70 + 80

= 150

Must click thanks and mark brainliest

Here are the factored expressions for the given expressions:

Factored expression: 3(2r^2 - rs - s^2)

Factored expression: x(2x + 3)(3x - 4)

Factored expression: 8mn^2(m - n)(m - 3n)

To factor these expressions, we need to find the common factors among the terms in each expression and factor them out.

6r^2 - 3rs - 3s^2

First, we notice that all three terms have a common factor of 3. We can factor it out:

3(2r^2 - rs - s^2)

The quadratic expression inside the parentheses cannot be factored further using integers, so the factored expression is:

3(2r^2 - rs - s^2)

6x^3 - x^2 - 12x

In this expression, we can factor out x:

x(6x^2 - x - 12)

Now, we can factor the quadratic expression inside the parentheses:

x(2x + 3)(3x - 4)

So, the factored expression is:

x(2x + 3)(3x - 4)

8m^3n^2 - 32m^2n^3 + 24mn^4

In this expression, we can factor out 8mn^2:

8mn^2(m^2 - 4mn + 3n^2)

Now, we can factor the quadratic expression inside the parentheses:

8mn^2(m - n)(m - 3n)

So, the factored expression is:

8mn^2(m - n)(m - 3n)

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1.rs 2.yoy can just put the q with the t and when you subtract it can problabbly go to thr letter a

Answer:

1. R and S

2. Both equidistant from 0

3. Move six spots to the left of T because each spot is 1/4, and 1 1/2 = 6/4, and it is a subtraction problem.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (4, 3)

m = \(\frac{3-0}{4+5}\) = \(\frac{3}{9}\) = \(\frac{1}{3}\) , thus

y = \(\frac{1}{3}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 3) , then

3 = \(\frac{4}{3}\) + c ⇒ c = 3 - \(\frac{4}{3}\) = \(\frac{5}{3}\)

y = \(\frac{1}{3}\) x + \(\frac{5}{3}\) → A

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line that passes through (-5, 0) and (4, 3) is

y = (1/3)x + 5/3.

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The general equation of a straight line is y = mx + c.

m = slope

c = y-intercept

We have,

A line passes through (-5, 0) and (4, 3)

Slope = m is given by:

m = (d - b) / (c - a)

where (a, b) and (c, d) are the points where the line passes.

Now,

Slope =m = (3 - 0)/(4 - (-5)) = 3/(4+5) = 3/9 = 1/3

We have,

y = mx + c

We can assume any point (-5, 0) or (4, 3) to find the value of the y-intercept.

Case 1.

(-5 , 0) = (x, y)

0 = 1/3(-5) + c

0 = -5/3 + c

c = 5/3

Case 2.

(4, 3) = (x, y)

3 = (1/3)4 + c

3 = 4/3 + c

c = 3 - 4/3

c = 9 - 4 / 3

c = 5/3

We will get the same value for c in both cases.

We have,

m = 1/3 and c = 5/3

The equation of the line can be written as:

y = (1/3)x + 5/3.

Thus the equation of the line that passes through (-5, 0) and (4, 3) is

y = (1/3)x + 5/3.

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She cannot draw an array of 17 counters with three rows.

The given parameters are:

Counter = 17

Rows = 3

An array is represented as:

Array = Rows * Columns

Where Rows and Columns are integers greater than 0

So, we have

3 * Column = 17

Divide by 3

Column = 5.667

Recall that Rows and Columns are integers greater than 0

This means that she cannot draw an array of 17 counters with three rows.

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The minimum value is 0.5 and the maximum value is 3.5.

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Answer:

The center of circle is: (-7,4) and Radius is 7 units

or (-4,7) and Radius is 7 units

We have to compare the given equation of circle with standard equation of circle

Given equation is:

2nd pic

down below

Standard equation of circle is:

3rd pic

down below

Here

h and k are coordinates of center of circle

So,

comparing

1st pic

down below

Hence,

The center of circle is: (-7,4) and Radius is 7 units

Keywords: Circle, radius

Answer:

Step-by-step explanation:

First expand the equation

That's

( x - 4)² + ( y - 7)² = 49

x² - 8x + 16 + y² - 14y + 49 - 49 = 0

x² + y² - 8x - 14y + 16 = 0

Comparing with the general equation of a circle

x² + y² + 2gx + 2fy + c = 0

2g = - 8 2f = - 14

g = - 4 f = - 7 c = 16

Center of a circle is ( - g , - f)

( --4 , --7)

Which is ( 4 , 7)

The radius of the circle is given by

r = √g² + f² - c

Where r is the radius

r = √ (-4)² + (-7)² - 16

= √16 + 49 - 16

= √49

Hope this helps you

Option B is Correct. An specific place in space is called a point. A dot indicates a point.

A point in space is a location. No length, width, or thickness exist in a point. In geometry, a dot stands in for a point. We typically use a (capital) letter to name a point. The simplest basic geometric object is a point. It is named with a capital letter and symbolised by a dot.

A point has no size and solely represents position (that is, zero length, zero width, and zero height). In a line, a line segment has two distinct endpoints. The line segment's length, which is the separation of two fixed points, is constant.

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Correct Question:

An exact location in space is called a _______

A. Line

B. Point

C. Circle

D. Line segment

Answer: The answer is 130 Degrees

Step-by-step explanation:

The largest number that can be produced by multiplying any three individual numbers from the list [-2, 1, 3, -8, 5, 9, -9, 4, 7, -7, 8] is 648.

To get the largest number that can be produced by multiplying any three individual numbers from the given list, we need to find the three largest positive numbers from the list and the two smallest negative numbers that have the largest magnitude.

So, the three largest positive numbers are 9, 8, and 7, and the two smallest negative numbers are -9 and -8.

Now, multiplying 9, 8, and 7, we get:

9 × 8 × 7 = 504

Multiplying -9, -8, and the largest positive number (9), we get:

-9 × -8 × 9 = 648

Therefore, the largest number that can be produced by multiplying any three individual numbers from the given list is 648.

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The choice which best describes how to measure the center of these data is; both centers are best described by the median.

This is a measure of central tendency which helps determine the middle value in a data by rearranging the data either in an ascending order or a descending order.

Mean on the other hand, is used to find the best average of a data set.

Therefore, the mean cannot be used to find the center of the data.

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Answer : These are points on a coordinate plane

The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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Answer: The length of the major axis = 18 units.

Step-by-step explanation:

For equation ellipse: \(\dfrac{(x-a)^2}{m^2}+\dfrac{(y-b)^2}{n^2}=1\)

If n>m , then length of major axis = 2n

Otherwise 2m

Given equation:

\(\dfrac{(x+2)^2}{64}+\dfrac{(y-1)^2}{81}=1\ \text{ ,which is an ellipse.}\\\\\Rightarrow\ \dfrac{(x+2)^2}{8^2}+\dfrac{(y-1)^2}{9^2}=1\)

9>8

So, the length of the major axis = 2(9) = 18 units.

Answer:

Step-by-step explanation:

Notice that the vertices are A(1,1), B(2,3) and C(2,1).

A reflection across the x-axis give the coordinates A'(1,-1), B'(2,-3) and C'(2,-1). Then, we apply the rotation 90° clockwise about the origin A'(1,1), B'(3, 2) and C'(1, 2).

Finally, a reflection across the line y = x, gives A'(1,1), B'(2,3) and C'(2,1)

Therefore, the coordinates of the image are A'(1,1), B'(2,3) and C'(2,1).

Answer:

The coordinates of vertex A′ are (1, 1).
The coordinates of vertex B′ are (2, 3).
The coordinates of vertex C′ are (2, 1).

Step-by-step explanation:

Plato

Answer:

true

Step-by-step explanation:

the equation is exactly the same on both sides but just expressed differently

Answer:

the last one

Step-by-step explanation:

Answer:

(x + 14)² + (y – 21/2)² = 1

Step-by-step explanation:

The equation of a circle can be written as seen below

(x – h)² + (y – k)² = r²

Where (h,k) is at the center and r = radius

We are given that the radius is 1

We are also given that the center is at (-14,21/2)

So we know that r = 1, h = -14, and k = 21/2

So to find the equation of the circle we simply substitute these values into the equation of a circle

Equation of a circle: (x – h)² + (y – k)² = r²

r = 1, h = -14, and k = 21/2

Substitute values

(x – (-14))² + (y – 21/2)² = 1²

1^2 = 1

The two negative signs before the 14 cancel out and it changes to + 14

The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1

Answer:

Daniel's time: 3 minutes 45 seconds

Brandon's time: 3 minutes 27 seconds

Step-by-step explanation:

Well, 5 feet per every second so side A would be 327.6 / 3 = 109.2

then 489 / 5 = 97.8 add them two you get 207 seconds which is 3 minutes and 45 seconds for  Daniel.

For Brandon you have to find the hypotenuse of the triangle which in short is 588.6 / 3 = 196.2

This was my first answer on this so though Its problebly not the best I hope I did something to help. ;-;

Answer:

<

Step-by-step explanation:

1.24 is less than 1.3 hope this helps

Answer:

1.24 < 1.3

Step by step explanation:

Here, 1.24 is smaller than 1.3

Answer:

Step-by-step explanation:

switch the x and f(x) values

x=y^3+4

subtract4

x-4=y^3

cube root

cube root(x-4)=y

The polynomial which is not equivalent to (5x – 2)(-2x + 4) is -10x + 20x + 4x – 8 and is therefore denoted as option A.

This is referred to as a type of algebraic expression in which the exponents of all variables should be a whole number.

(5x – 2)(-2x + 4) when expanded will give:

-10x² + 20x + 4x – 8 which can be rewritten as the following below:

This is therefore the reason why -10x + 20x + 4x – 8 was chosen as the correct choice.

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The options are:

A) -10x + 20x + 4x – 8

B) 4x + 20x – 10x2 – 8

C) -8 + 24x – 10x2

D) -10x2 + 24x – 8

Answer:

Step-by-step explanation:

Alright so we are going to be simplifying here

-6 + x = 4x Flip sides

x-6=4x

After that,

x-6=4x  Subtract 4x from both sides

-3x-6=0

Step 3

-3x-6=0  Add 6 to the sides

-3x=6

Step 4

-3x=6  Divide the sides by 3

-2

So therefore,

Your answer would be x=-2

Answer: EG = 80

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel to each other.

The diagonals of a parallelogram bisect each other, which means, using the figure as example:

EJ = JG

So, to determine EG, first find w:

\(4w+4=2w+22\)

\(2w=18\)

w = 9

Substituting:

\(EJ=4w+4\)

\(EJ=4(9)+4\)

EJ = 40

Since each segment has the same measure:

EG = 2EJ

EG = 2(40)

EG = 80

The measure of EG is 80 units

The probability of at least one value being observed more than once in 55 rolls of a die is 0.972

To solve this problem, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

So, first, let's find the probability that no value is observed more than once in 55 rolls of a die.

For the first roll, any number from 1 to 6 can be rolled. For the second roll, there are 5 remaining numbers that can be rolled (since one number has already been rolled). For the third roll, there are 4 remaining numbers that can be rolled, and so on.

Therefore, the probability of getting 55 rolls without any number being repeated is:

P(55 distinct rolls) = (6/6) × (5/6) × (4/6) × ... × (2/6) × (1/6)

= 6! / 6^55

= 0.028

Now, we can use the complement rule to find the probability of getting at least one value observed more than once:

P(at least one repeated value) = 1 - P(55 distinct rolls)

= 1 - 0.028

= 0.972

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Answer:

25

solution

50=3x

or, 50/3=x

or, x=16.66

hence,imran father will 16 years