Tel whether each sequence is an arithmetic sequence or not

The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0

Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

By using the appropriate symbols, it becomes

The null hypothesis is

H0 : μa = μb H0 : μa - μb = 0

The alternative hypothesis is

Ha : μa ≠ μb Ha : μa - μb ≠ 0

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9514 1404 393

Answer:

Step-by-step explanation:

If we let x and y represent "one number" and "another", respectively, then the given relations are ...

  x = 5 +2y

  xy = 1827

Substituting for x gives a quadratic in y:

  (5 +2y)(y) = 1827

  2y^2 +5y -1827 = 0 . . . . . written in standard form

We can use the quadratic formula to find the positive value of y that satisfies this:

  y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29

  x = 5 +2(29) = 63 . . . . using the above expression for x

The smaller number is 29; the larger number is 63.

The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

You have to have the number of items you payed for and know what numbers your calculating at checkout

Step-by-step explanation:

Understanding of basic mathematics is important in order to carry on successful daily business operations of merchandising.

Step-by-step explanation:

A good mathematical understanding is beneficial for sharpening skills and improving handling of calculations with accuracy and speed.

To be a good and successful merchandiser you must understand math and performing skills like accuracy and speed both.

Important points :

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Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

From the given cost we can see that a medium sack lunch will contain 3 apples and 2 sandwiches.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For instance, 2x - 5 = 13

From the given conditions we can make the following observation:

The cost of 4 medium lunches is 4(2s + 3):

4(2s + 3) = 8s + 12

The medium lunch does not include water, thus 12 represents the cost of apples. As 1 apple costs 1 dollar, the 4 medium lunch have 12 apples. Then, each lunch will have:

12/ 4 = 3 apples.

The cost of sandwiches is s dollars, for 8s, 4 lunch include 8 sandwiches. Then, each lunch will have:

8/ 4 = 2 sandwiches.

Hence, a medium sack lunch will contain 3 apples and 2 sandwiches.

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Answer:

D: KD, CJ, JF

Step-by-step explanation:

I just took the quick check and it was right.

Answer: D. 4, 7, 7

Step-by-step explanation:

The coefficients in the expression "9x - 2 + 16x + 8 - x + 10" are the numerical values that multiply the variables. In this expression, the coefficients are 9, -2, 16, 8, -1, and 10.

So, the expression can be written as:

9x + 16x - x + 10 = 24x + 10

where 9, -2, 16, 8, -1, and 10 are the coefficients of the expression.

Answer:

The coefficients in this expression would be 10, -2, 8, -1, 10, 9, 16

Step-by-step explanation:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

eh im good

Step-by-step explanation:

Answer:

Step-by-step explanation:

we will replace x with 10

f(10)=3(10)^2+6(10)-18

f(10)=300+60-18=342

Answer:

Answer is -1/64

Step-by-step explanation:

Mark me the brilliant

Answer:

it is blocked

Step-by-step explanation:

blockedddddd

Answer: A: sorry if I'm wrong but that's what I was told

Step-by-step explanation:

The value of the expression x² - 9x - 7 when x = 6 is -25.

Quadratic equations are second degree polynomial equations which are of the form ax² + bx + c = 0, where a, b and c are real numbers and x is the variable with the highest degree of 2.

Given the quadratic expression,

x² - 9x - 7

We have to find the value of the expression when x = 6.

Substitute x = 6, we get,

6² - (9 × 6) - 7 = 36 - 54 - 7

                       = -25

Hence the value of the given expression when the value of x = 6 is -25.

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The correct answer is open angled bracket negative 16 over 5 comma negative 32 over 5 close angled bracket, as it is the vector u.

The projection of vector u onto vector v is given by the formula:

projv(u) = (u . v/||v||^2) * v

where u . v is the dot product of vectors u and v,and ||v|| is the magnitude of vector v

Given that u = <-10, -3> and v = <4, 8>, we can substitute these values into the formula and find projv(u)

projv(u) = ( (-10)(4) + (-3)(8) )/ (4^2 + 8^2) * <4,8>

projv(u) = ((-40 - 24)/ (16 + 64))* <4,8>

projv(u) = (-64/80) * <4,8>

projv(u) = (-4/5) * <4,8>

projv(u) = <-16/5,-32/5>

The vector u is already parallel to the vector v, that's why the projection of vector u on vector v is equal to vector u itself.

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Answer:

1 integer

2 none

3integer

4irrational

5rational

Answer:

k = -3

k =5

Step-by-step explanation:

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d = 5\\(-1,1) =(x_1,y_1)\\(2,k)=(x_2,y_2)\\\)

\(5=\sqrt{\left(2-\left(-1\right)\right)^2+\left(k-1\right)^2}\\\\\mathrm{Square\:both\:sides}:\quad 25=k^2-2k+10\\25=k^2-2k+10\\\\\mathrm{Solve\:}\:25=k^2-2k+10:\\k^2-2k+10=25\\\\\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}\\k^2-2k+10-25=25-25\\k^2-2k-15=0\\\\\mathrm{Solve\:by\:factoring}\\\\\mathrm{Factor\:}k^2-2k-15:\quad \left(k+3\right)\left(k-5\right)\\\mathrm{Solve\:}\:k+3=0:\quad k=-3\\\)

\(\mathrm{Solve\:}\:k-5=0:\quad k=5\\\\k =5 , k=-3\)

A = (-1, 1) and B = (2, k) so:

\(d(A,B)=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}=\sqrt{(2-(-1))^2+(k-1)^2}=\\\\=\sqrt{3^2+(k-1)^2}=\sqrt{9+k^2-2k+1}=\sqrt{k^2-2k+10}\\\\\\d(A,B)=5\\\\\sqrt{k^2-2k+10}=5\quad|(\ldots)^2\\\\\big|k^2-2k+10\big|=25\\\\k^2-2k+10=25\qquad\vee\qquad k^2-2k+10=-25\\\\k^2-2k-15=0\qquad\vee\qquad k^2-2k+35=0\\\\\\\Delta_1=(-2)^2-4\cdot1\cdot(-15)=64>0\qquad\text{two solutions}\\\\\Delta_2=(-2)^2-4\cdot1\cdot35=-136<0\qquad\text{no solutions}\\\\\\k_1=\dfrac{2-\sqrt{64}}{2}=\dfrac{2-8}{2}=\dfrac{-6}{2}=\boxed{-3}\)

\(k_2=\dfrac{2+\sqrt{64}}{2}=\dfrac{2+8}{2}=\dfrac{10}{2}=\boxed{5}\)

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

5 cases

10 additional units

Step-by-step explanation:

Given that:

Total number of units needed = 60 units

Total number of units per case = 14

Hence, the total number of cases required will

be: Number of units needed / number of units per

case

Number of cases required = 60/14 = 4.285 (this be up to 60 units)

means that 5 cases are required as 4 cases won't

With 5 cases, we have exceeded the required units needed:

Additional units will be: (145)-60

Additional units = 70 - 60 = 10 units

Step-by-step explanation:

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La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

To find: \(P(A \cap B)\\\)

Using the addition rule, we get:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40\)

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40

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The probability that Julio will date Marisol and Carla at the same time is 0.40.

Here, we have, For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

P(A) = 0.75

P(B) = 0.50

P(A∪B)= 0.85

To find: P(A ∩ B)

Using the addition rule, we get:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.85 = 0.75 + 0.50 - P(A ∩ B)

P(A ∩ B) = 0.40

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.

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complete question:

The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Answer:

2048 in³

Step-by-step explanation:

Volume of sphere = (4/3) X π X r ³

= (4/3) (3) (8)³

= 2048 in³

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.

Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.

Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.

The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.

Therefore, the Option C is correct.

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The complete question is:

Answer:

8/19

Step-by-step explanation:

The probability that a student is chosen randomly from the class passed the test and completed the homework will be 0.1637.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

In a math class with 19 students, a test was given the same day that an assignment was due.

There were 10 students who passed the test and 11 students who completed the assignment.

There were 6 students who failed the test and also did not complete the assignment.

Then the probability that a student is chosen randomly from the class passed the test and completed the homework will be

The number of the student who has done at least one assignment or passed the test is 19 - 6 = 13

n(A) = passes student

n(B) = given assignment

Then we have

\(\rm n(A \cap B) = n(A) + n(B) - n(A \cup B) \\\\n(A \cap B) = 10 + 11 - 13\\\\n(A \cap B) = 8\)

Then the probability will be

\(\rm P = \dfrac{^8C_2}{^{19}C_2}\\\\P = \dfrac{28}{171}\\\\P = 0.1637\)

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Answer:

9 cm

Step-by-step explanation:

ST = 3/4 × 12 = 9 cm

_____

Answer:

9 cm

Step-by-step explanation:

set up a proportion SR/NM=ST/NP, since you know all but one of the lines, sub them into the equation, 15/5=ST/3. solve the side you know to get 3=ST/3, multiply both side by 3 to eliminate the fraction and get the answer, 9=ST.

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