What is the probability of Sunday following Saturday this week?

Answer:

i think under 3 1/2 its 87.50 and under the 4 its 100

Step-by-step explanation:

for every 1/2 hour he gets $12.50

i hope this is right :)

The logistic model for the US population can be expressed as P(t) = (4500 / (1 + 17 e^(-k*t))) where P(t) is the population in millions at time t since 1990, and k is the relative growth rate.

The logistic model for the US population can be expressed as:

P(t) = (K / (1 + A e^(-k*t)))

Where:

P(t) represents the population in millions at time t since 1990

K represents the carrying capacity of population, which is 4500 million in this case

k is the relative growth rate

A is the constant equal to (K / P(0)) - 1, where P(0) is the population at t = 0

We are given that the population in 1990 (t = 0) was 250 million. Therefore, we can calculate A as:

A = (K / P(0)) - 1 = (4500 / 250) - 1 = 17

So, the logistic model for the US population becomes:

P(t) = (4500 / (1 + 17 e^(-k*t)))

where P(t) = population in millions at time t, and k = relative growth rate.

To know more about Logistic model:

https://brainly.com/question/28226776

#SPJ4

The remaining side is 16.9 and remaining angles are 83.1 and 34.9.

The cosine formula to find the side of the triangle is given by:

c = √[a² + b² – 2ab cos C] Where a,b and c are the sides of the triangle.

Given:

m∠B = 62°, a = 11, and c = 19

Now, b² = a² + c² - 2ac cos B.

b = √ a² + c² - 2ac cos B

b = √ 11² + 19² - 2x 11  x 19 cos 62

b= 16.9

Now. a/ sin A = b/ sin B= c/ sin C

So, <C = arc sin ( c sin B /b)

<C = arc sin ( 19 sin 62 /16.9)

<C = 83.1

and, <A = arc sin ( a sin B /b)

<A = arc sin ( 11 sin 62 /16.9)

<A = 34.9

Learn more about Cosine Formula here:

https://brainly.com/question/17171751

#SPJ1

Answer:

x= 64° y= 18° z= 98°

Step-by-step explanation:

x= 64°

y = 18°

z = 180° - x - y

z = 180° - 64° - 18°

z= 98°

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

Answer: \(60\ ft\)

Step-by-step explanation:

Given

Side length of square shape \(a=15\ ft\)

Length of the garden is equal to the perimeter of the square i.e. 4 times the side length

\(\Rightarrow \text{Lenght L= }4a\\\Rightarrow L=4\times 15\\\Rightarrow L=60\ ft\)

Thus, the length of the require garden is \(60\ ft\)

Answer:

Step-by-step explanation:216

Answer:

15

Step-by-step explanation:

lets make an equation and solve it (its easier)

130=8x+10

130-10=8x

120=8x

x=120/8=15 hours

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

Learn more about relative maximum point here:

https://brainly.com/question/32310828

#SPJ11

the equation are:

So in this case the slope of the first equatin is 0 and is a horizontal line, and the slope in the second equation is undefine so it is a vertical line.

This means that the lines are perpendicular so the answer is yes

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

To learn more about unstructured data

https://brainly.com/question/30977617

#SPJ11

Answer:

Step-by-step explanation:

The total for 12 oranges would be $8.28

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

You can learn more about pivot column at

https://brainly.com/question/29786913

#SPJ4

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

Find out more on expressing exercises at https://brainly.com/question/13818690

#SPJ1

The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

The solution of the inequality is x>2 and the graph is attached below.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. When two values are compared, an inequality shows whether one is higher, lower, or simply not equal to the other.

The given inequality is 2x - (3-x) > x + 1,

Now, solving the inequality by opening the bracket,

2x - (3-x) > x + 1

\(2x - 3 + x > x + 1\)

3x - 3 > x + 1

Subtracting x from both sides and  adding 3 on both sides,

2x > 4

x > 2

So, the graph is attached below and Option D is correct.

Therefore, after solving the given inequality, we get x > 2 and the graph is attached below.

To learn more about Inequalities visit here:

https://brainly.com/question/24372553

#SPJ1

Answer:

Hope this helps :)

Step-by-step explanation:

Because x is an absolute value, the value of y is always greater than or equal to zero. I attached the graph below. As you'll see, when x is a negative number, it was the same value as the positive of that value. When x = 1 or x = -1, y = 5.

Answer:

Step-by-step explanation:

Exterior angle property:

Exterior angle of a triangle equals the sum of  opposite interior angles

∠WBC = ∠D + ∠C

18x + 5 = 46 + 8x - 1

18x + 5  = 8x + 45  

Subtract 5 from both sides

18x = 8x + 45 -5

18x = 8x + 40

Subtract 8x from both sides

18x - 8x = 40

10x  = 40

Divide both sides by 10

x = 40/10

x = 4

Answer:

the answer is 0.5.(a option is correct)

Step-by-step explanation:

first we add 1.09+1.86

=2.95

now we subtract 2.95-1.10

the answer will be 1.85

no we subtract 1.85-1.28

the answer will be 0.5.

Answer:

19040 grams

Step-by-step explanation:

Dan used the amount of flour each day = 0.68 kg

He used the flour for 4 weeks.

So the number of days taken by Dan = 4 × 7 = 28 days

Now amount of flour used in 28 days = Flour used in a day × Number of days

= 0.68 × 28

= 19.04 kg

Since 1 kg = 1000 grams

Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams

Dan used 19040 grams of flour in 4 weeks.

The number of grams of flour that was used is 19040 grams.

Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:

= 0.68 × 4

= 2.72kg

Therefore, 2.72kg will be converted to grams and this will be:

= 2.72 × 1000 = 2720 grams

Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:

= 2720 × 7 = 19040

Read related link on:

https://brainly.com/question/17025675

Answer:

160 sq units

Step-by-step explanation: multiple 16 times 10 and you get that

Answer:

2467 = 200 (1.67) 2000

Step-by-step explanation:

The length of the tree remaining sides are 18 inches, 29 inches and 29 inches.

A kite is an object with four sides. It length of the two adjacent sides are of equal length. No pair of sides in a kite are parallel. The perimeter of a kite is the sum of the length of the four sides of the kite.

Perimeter of a kite = 2( a + b)

94 = 2(18 + b)

94 / 2 = 18 + b

47 = 18 + b

b = 47 - 18

b = 29 inches

To learn more about kites, please check: https://brainly.com/question/29070896

#SPJ1

Answer:

D. Cl₂

Step-by-step explanation:

Answer:

Addition Property of Equality, or A

Step-by-step explanation:

This is the definition of addition property of equality

The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

Know more about "permutations and combinations" here: https://brainly.com/question/13387529

#SPJ6

The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.

The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:

\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)

Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.

Answer: A, B, and C.

Step-by-step explanation: The answers you have selected in the picture are correct.

These are the actual claims made regarding the line:

The x-intercept is at - 8 because y = 0 when x = -8.

The line is growing and has a positive slope.

As soon as x = 0 and y = 4, the y-intercept is at 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The true statements about the line are,

The x-intercept is at - 8, as when x = - 8 y = 0.

The line has a positive slope as it is increasing.

The y-intercept is at 4 as when x = 0 y = 4.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

Answer:

x= -4/129

negative four over one hundred twenty one

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.