Betty wants to bake the perfect cookie. She wants to determine the ideal temperature at which to bake the cookies. She has enough batter to make 60 cookies. She decides to randomly assign 15 cookies to be baked at 300°, 15 at 325°, 15 at 350°, and 15 at 375°. The baking time for each batch is 12 minutes. Use the diagram to identify the components of the completely randomized design.

Answer:

50 students from each grade

Step-by-step explanation:

If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes

Also 50 is easily divisible by 750

Therefore the above represent the answer

Answer:

A=12

B=2

C=11

Step-by-step explanation:

use M4th W4y to use it

Answer: C. a prediction based on the data is reliable, because the means of the samples are close together.

Step-by-step explanation:

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

The probability that the two pets selected are of the same species  is 0.2426   .

In the question ,

it is given that ,

the number of puppies in the pet store = 6

the number of kittens in the pet store = 9

the number of lizards in the pet store = 4

the number of snakes in the pet store = 5

total animals = 24

the probability of selecting 2 puppies = ⁶C₂/²⁴C₂

the probability of selecting 2 kittens = ⁹C₂/²⁴C₂

the probability of selecting 2 lizards = ⁴C₂/²⁴C₂

the probability of selecting 2 snakes = ⁵C₂/²⁴C₂

So , the required probability is

= ⁶C₂/²⁴C₂  + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂  + ⁵C₂/²⁴C₂  

Simplifying further ,

we get ,

= 5/92 + 3/23 + 1/46 + 5/138

= 0.0543 + 0.1304 + 0.0217 + 0.0362

= 0.2426

Therefore , the required probability is 0.2426   .

The given question is incomplete , the complete question is

The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?

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Answer:

-47

Step-by-step explanation:

-6(9) + 2(6) + 3 - 8

-54 + 12 + 3 - 8

-42 + 3 - 8

-39 - 8

-47

Answer:

297mm^2

Step-by-step explanation:

18*22-22*9/2=396-99=297mm^2

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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A woman you know has five children among which all five  are boys. probability for a woman that she will have all five boy as a five children is  0.5.

The probability or the outcome  in which a women with five children have all the girls and none of them as boys is :-

0.5x0.5=0.25.

So for the  first child there is a a 50% chance that is will be of a male. And same for the  second child being male there will be equal probability that it can be boy so it  also will have a probability .

So the probability of having five females is  0.55=0.03125

Except the above define value all the other outcome or choices means that the women have a least one son in the five children  and the total probability of an event is 1.

.The theoretical probability is mainly reasoning bases which is behind probability. For example, if a coin is tossed then the theoretical probability or the outcome of getting a head will be ½.

Probability provides information about the happening of   something which might happen and might not depending upon the outcome demand happen. Meteorologists, also take the help of probability to predict whether the rain may happen or not for instance In epidemiology, also probability theory is used to understand  about various risk related to life an to demonstrate various relation .

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Answer:

Step-by-step explanation:

7. <A + <B = 180° [Since Co-interior angles]

=> 51° + <B = 180°

=> <B = 180° - 51°

=> <B = 129° (Ans)

8. <M + <N = 180° [Since Co-interior angles]

=> 95° + <N = 180°

=> <N = 180° - 95°

=> <N = 85° (Ans)

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Information architecture is defined as a set of tools and techniques used for describing, organizing, and interpreting information.

It involves the process of structuring and organizing information in a way that facilitates efficient navigation, retrieval, and understanding for users.

Information architecture is commonly applied in fields such as website design, content management systems, data organization, and user interface design to create intuitive and user-friendly systems.

Therefore, the term informative architecture is defined as a set of tools and techniques.

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Answer:

Step-by-step explanation:

a) x<5 and x>−1

b)x<-1,x>5

c)x=5,x=-1

For the equation:  

y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Graph of the equation:  

⇒ y = -|x-2| + 3

To Find: Values of x in below cases:

a) -|x-2|+3>0

b) -|x-2|+3<0

c)-|x-2|+3=0

Solution:

a) -|x-2|+3>0

y=-|x-2|+3

⇒  y > 0

Hence, From the graph y > 0 when x ∈ (-1 , 5)

without using graph :

- |x - 2| + 3 > 0

3 > | x - 2|

| x - 2 | < 3

Case 1 : x - 2 > 0

x - 2 < 3

x < 5

Case2 : x - 2 < 0

x - 2 > - 3

x > - 1

b) -|x-2|+3<0

y=-|x-2|+3

 y < 0

From the graph y > 0 when x < - 1 or x > 5

x ∈ R - [-1 , 5]

or, x  ∈ (-∞ , - 1) U ( 5 , ∞)

without using graph :

-|x-2|+3<0

3 < | x - 2|

| x - 2 | > 3

case 1 : x - 2 > 0

x - 2 > 3

x > 5

case 2 : x - 2 < 0

x - 2 < - 3

x < - 1

a) -|x-2|+3=0

y=-|x-2|+3

y = 0

From the graph y = 0 when x = -1 and 5

x  ∈ {-1 , 5}

without using graph :

-|x-2|+3=0

3 = | x - 2|

| x - 2 | =  3

case 1 : x - 2 = 3

x = 5

case 2 : x - 2 = - 3

x =  - 1

Thus, For the equation:  y=-|x-2|+3 values of x for below cases are :

a) -|x-2|+3>0  , x ∈ (-1 , 5)

b) -|x-2|+3<0  ,   x ∈ R - [-1 , 5]  or x  ∈ (-∞ , - 1) U ( 5 , ∞)

c)-|x-2|+3=0    ,     x  ∈ {-1 , 5}

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We select every fifth invoice in a file is systematic sampling.

Systematic sampling is a probability sampling technique where researchers choose individuals from the population at predetermined intervals (or k).

This method will provide you with a representative sample that can be utilized to make inferences about your community of interest if the population order is random or random-looking (for example, alphabetical).

This type of sampling is most suitable when we want to conduct a sampling method similar to simple random sampling but the list of population is unknown to us. However, this can also be used when the list of the same is available to us.

Another important condition is the order or the population, i.e. ow it is spread must be random and not in some particular order or sample. Else the result obtained will lose its credibility.

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We are given that the column space of matrix A has a basis of two vectors and the null space of A contains exactly two vectors. We need to determine the number of columns of A, the dimension of the null space of A, the dimension of the column space of A.

(1) The number of columns of matrix A is equal to the number of vectors in the basis for its column space. In this case, the basis has two vectors. Therefore, A has 2 columns.

(2) The dimension of the null space of A is equal to the number of vectors in a basis for the null space. Given that the null space contains exactly two vectors, the dimension of the null space is 2.

(3) The dimension of the column space of A is equal to the number of vectors in a basis for the column space. We are given that the column space basis has two vectors, so the dimension of the column space is also 2.

(4) The rank-nullity theorem states that the sum of the dimensions of the null space and the column space of a matrix is equal to the number of columns of the matrix. In this case, the sum of the dimension of the null space (2) and the dimension of the column space (2) is equal to the number of columns of A (2). Hence, the rank-nullity theorem is verified for A.

In conclusion, the matrix A has 2 columns, the dimension of its null space is 2, the dimension of its column space is 2, and the rank-nullity theorem is satisfied for A.

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Answer: -2/5

Step-by-step explanation:

The variable for slope is m.

The equation for the slope is: m = (y_2 - y_1) / (x_2 - x_1)

x_1  x_2  y_1   y_2

(13,  -15), ( -2,  -9)

All you have to do is plug the numbers in.

-9 - (-15) / -2 - 13

6/-15

2/-5

So the answer is -2/5

Hope this helps!!! :)

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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Answer:

$879.190 = $879.19

$532.626 = $532.627

Step-by-step explanation:

You round up for the tenths place if the hundredths place is above five, but you round down for the tenths place if the hundredths place is below five. For example, 0 is below five for $879.190, so I round to 9.

The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.

This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.

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Speed is the rate of distance over time.

The speed of the boat is 13mph south-west

Given

\(v_1 = 12mph\) --- west

\(v_2 = 5mph\) -- south

The speed is illustrated with the attached image

Because both speeds act at a diagonal, the speed (v) of the boat is calculated using Pythagoras theorem as follows:

\(v^2 = 12^2 + 5^2\)

\(v^2 = 144 + 25\)

\(v^2 = 169\)

Take square root

\(v = \sqrt{169\)

\(v = 13\)

Hence, the speed of the boat is 13mph south-west

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The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. The unit of the perimeter of any polygon will remain the same as the unit of its respective sides.

Answer:

To find the perimeter of a regular polygon, we take the length of each side, and multiply it by the number of sides.

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Answer:

$12

Step-by-step explanation:

42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.

Answer:

The coordinate of C' is (0,7).

Step-by-step explanation:

Relative coordinates of each point of the ABC-Triangle are obtained first:

\(A_{rel} = A - O_{dil}\)

\(B_{rel} = B - O_{dil}\)

\(C_{rel} = C - O_{dil}\)

Where:

\(A, B, C\) - Absolute coordinates of the vertices of the ABC-Triangle.

\(O_{dil}\) - Coordinates of the center of dilation.

\(A_{rel}, B_{rel}, C_{rel}\) - Relative coordinates of the vertices of the ABC-Triangle.

If \(O_{dil} = (-4, -9)\), \(A = (-4, -6)\), \(B = (3, -6)\) and \(C = (-2, -1)\), the relative coordinates are now computed:

\(A_{rel} = (-4,-6) - (-4,-9)\)

\(A_{rel} = (-4 + 4, -6 + 9)\)

\(A_{rel} = (0, 3)\)

\(B_{rel} = (3, -6) - (-4,-9)\)

\(B_{rel} = (3+4, -6 +9)\)

\(B_{rel} = (7,3)\)

\(C_{rel} = (-2, -1) - (-4,-9)\)

\(C_{rel} = (-2+4, -1 +9)\)

\(C_{rel} = (2, 8)\)

Each outcome is consequently dilated:

\(A'_{rel} = 2\cdot (0,3)\)

\(A'_{rel} = (0,6)\)

\(B'_{rel} = 2 \cdot (7,3)\)

\(B'_{rel} = (14, 6)\)

\(C'_{rel} = 2 \cdot (2,8)\)

\(C'_{rel} = (4,16)\)

The absolute coordinates of A', B' and C' are, respectively:

\(A' = O_{dil} + A'_{rel}\)

\(A' = (-4,-9) + (0,6)\)

\(A' = (-4+0, -9 + 6)\)

\(A' = (-4, 3)\)

\(B' = O_{dil} + B'_{rel}\)

\(B' = (-4,-9) + (14,6)\)

\(B' = (-4+14, -9+6)\)

\(B' = (10, -3)\)

\(C' = O_{dil} + C'_{rel}\)

\(C' = (-4,-9) + (4,16)\)

\(C' = (-4 + 4, -9 + 16)\)

\(C' = (0, 7)\)

The coordinate of C' is (0,7).

Answer:

y=3x+3

Step-by-step explanation:

3x-y=-3

-y=-3x-3

y=3x+3

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

408

Step-by-step explanation:

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

When the first side is 20 cm long, the second side is 30 cm long, and the angle is /6 radians, the angle between the sides is changing at a rate of -0.15 radians per second.

Let's denote the two sides of the triangle that are changing as x and y, where x is increasing at a rate of 3 cm/s and y is decreasing at a rate of 2 cm/s. Let A be the angle between these two sides, and let A be the area of the triangle, which is constant.

We can use the formula for the area of a triangle:

A = 1/2 xy sin(A)

where sin(A) is the sine of the angle A.

Taking the derivative of this equation with respect to time t, we get:

dA/dt = 1/2 [(dx/dt) y sin(A) + x (dy/dt) sin(A) + xy cos(A) (dA/dt)]

Simplifying this equation and plugging in the given values, we get:

0 = 1/2 [(3)(30) sin(π/6) + (20)(-2) sin(π/6) + (20)(30) cos(π/6) (dA/dt)]

Solving for dA/dt, we get:

dA/dt = [-45/(600 cos(π/6))] cm²/s

dA/dt = -0.15 cm²/s

Therefore, the angle between the sides is changing at a rate of -0.15 radians per second when the first side is 20 cm long, the second side is 30 cm long, and the angle is π/6 radians.

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