Determine the critical value z alpha for alpha equals 0.04. Thatis, the z value at which the standard normal has a right tailedarea of 0.04.

The values of slope(m) and y-intercept(b) in the above equation to get the equation of the line: y = -3x - 7. Hence, the equation of the line is y = -3x - 7.

The given equation is y = -3x - 7.The above equation is in the slope-intercept form where the equation of a line is y = mx + b. The slope of the line is "m" and the y-intercept is "b".

Solving the given equation: In y = mx + b, compare the given equation with it. We can see that the slope(m) = -3, and the y-intercept(b) = -7.Slope-intercept form: y = mx + b.

Substitute the values of slope(m) and y-intercept(b) in the above equation to get the equation of the line: y = -3x - 7. Hence, the equation of the line is y = -3x - 7.

The steps to solve y = -3x - 7 are as follows:

Step 1: Firstly, write the equation of the line y = mx + b.

Step 2: Next, compare the given equation with the slope-intercept form to get the slope(m) and y-intercept(b).

Step 3: Substitute the values of slope and y-intercept in the slope-intercept form to obtain the equation of the line.

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Answer:

11

subtract 3

Step-by-step explanation:

The numbers are getting lower in value as you go,

So that means it is a subtracting sequence,

Take the first two numbers and subtract them,

23 - 20 = 3

So now subtract 3 from the others and see if it works,

20 - 3 = 17

17 - 3 = 14

14 - 3 = 11

11 is the missing number

Yep, it works,

Hence the sequence is to subtract three.

Answer:

5 hours

Step-by-step explanation:

A service call would have to be 5 hours for both companies to charge the exact same amount.

Answer:

443

Step-by-step explanation:

hib9

Answer:

38.16

Step-by-step explanation:

cosine = adjacent leg / hypotenuse

34 / x = cos 27

x = 34 / cos 27 deg

x ≈ 38.16

Answer:

we have

cos 27°=base/hypotenuse

cos27°=34/x

x=34/cos27°= 38.16is your answer

a) The median number of hours per week these Year 12 students spend doing homework is 4 hours.

b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k is 5.75 hours.

The median is a central value or a middle value in a distribution. The number of values in a dataset is an important factor that determines the calculation of the median. It is a value that cuts the data set into two equal parts.

The data set consists of 20 Year 12 students. Sort the data in ascending order (or descending order) and find the middle value. Then, use the formula for calculating the median. 

a)The number of hours per week the Year 12 students spend doing homework is given as:

3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5

Arrange the data in ascending order:

3, 3, 3, 3, 3, 3, 3.5, 3.5, 4, 4, 4, 4, 4.5, 5, 5, 5.5, 6, 7, 8, 8.5

Now count the data, which gives us 20 numbers. The middle value is the 10th and the 11th numbers, which are both 4.

So the median of the number of hours per week Year 12 students spend doing homework is 4 hours.

b) If 10% of Year 12 students spend more than k hours per week doing homework, then the value of k can be found using the following formula:

100% - 10% = 90%

So, 90% of students study for k hours or less.

So, the value of k can be found using the median. The median value is 4 hours, and 90% of students are studying for k hours or less. Therefore, 10% of students study for more than k hours.

k = 10% more than the value of the 90th percentile value, which is given by: k = 5.5 + ((8-5.5)/10)*1 = 5.5 + 0.25 = 5.75 hours.

Therefore, 10% of Year 12 students spend more than 5.75 hours per week doing homework.

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The time that you will arrive at your destination, given the distance of the trip and the average speed, is 2 pm

To find the time of arrival by using the car going at 90 km /h, you need to find the time that the whole trip would take.

The time the trip would take is found by the formula:

= Distance of trip / Average speed

= 495 / 90

= 5 . 5 hours

0.5 hours is 30 minutes so this is 5 hours 30 minutes.

The time you will arrive is therefore:

= 8 : 30 + 5 hours 30 minutes

= 2 pm

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Answer:

When two numbers get divided, they form a number, this newly formed number is the definition to QUOTIENT.

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Answer:

In mathematical terms, quotient is the value that is created after quantities have been divided.

For example, if you are asked:

What is the quotient of 24 divided by 6?

\(6\sqrt{24}\)

The answer/quotient would be 4.

Answer:

  b)  -3

Step-by-step explanation:

You want the value of 'a' when the quadratic y = –3x² – 15x – 11 is written in the form y = a(x – h)² + k.

The leading coefficient in either form is the coefficient of x². It is the same in both forms: -3.

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

The sum of degrees is not equal to twice the number of edges, there is no graph that satisfies the given conditions with 7 vertices and degrees 1, 1, 2, 3, 3, 3, and 6.

There exists a graph with 7 vertices and degrees 1, 1, 2, 3, 3, 3, and 6, we can use the Handshaking Lemma.

The Handshaking Lemma states that the sum of the degrees of all vertices in a graph is equal to twice the number of edges in the graph. In other words:

Sum of degrees = 2 × Number of edges

Let's calculate the sum of degrees using the given degrees:

Sum of degrees = 1 + 1 + 2 + 3 + 3 + 3 + 6 = 19

Now, let's calculate the maximum number of edges possible in a graph with 7 vertices

Max number of edges = (n × (n - 1)) / 2

where n is the number of vertices.

For n = 7, the maximum number of edges is:

Max number of edges = (7 × (7-1)) / 2

Max number of edges = 7 × 6/2

Max number of edges = 21

According to the Handshaking Lemma, the sum of degrees is equal to twice the number of edges.

Sum of degrees = 2 × Number of edges

19 = 2 × 21

19 ≠ 42

Since the sum of degrees is not equal to twice the number of edges, there is no graph that satisfies the given conditions with 7 vertices and degrees 1, 1, 2, 3, 3, 3, and 6.

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Total savings after 7 weeks : $140

Total savings after w weeks : $(70 + 10w)

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a phrase : Taub is saving up to buy a new bicycle. She already has $70 and can save an additional $10 per week using money from her after school job.

Taub will have a total of -

70 + 7 x 10 = $140

The expression that represents the amount of money Taub would have saved in [w] weeks is -

y = 70 + 10w

Therefore -

Total savings after 7 weeks : $140

Total savings after w weeks : $(70 + 10w)

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The equivalence classes of the equivalence relations in exercise 1 are the sets of elements that are related to each other under the given equivalence relation.

For example, if the equivalence relation is "x is related to y if x and y have the same remainder when divided by 3," then the equivalence classes would be:

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Answer:

Step-by-step explanation:

For example,

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

Answer: B

Step-by-step explanation: It is B because oatmeal is the favorite for 30% of children, not 15% because there is a total of 50 children.

15/50=0.3=30%

For the function f(x) = ⌊x²/3⌋, the values of f(s) for different sets s are as follows: a) f(s) = {1, 0, 0, 0, 1, 3}, b) f(s) = {0, 0, 1, 3, 5, 8}, c) f(s) = {0, 8, 16, 40}, d) f(s) = {1, 12, 33, 77}

The function f(x) = ⌊x²/3⌋ represents the floor of x²/3. To find f(s) for different sets s, let's evaluate it for each case:

a) For s = {-2, -1, 0, 1, 2, 3}:

  - For -2, (-2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For -1, (-1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  Therefore, f(s) = {1, 0, 0, 0, 1, 3}.

b) For s = {0, 1, 2, 3, 4, 5}:

  - For 0, (0)²/3 = 0/3 = 0.

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 3, (3)²/3 = 9/3 = 3.

  - For 4, (4)²/3 = 16/3, and ⌊16/3⌋ = 5.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  Therefore, f(s) = {0, 0, 1, 3, 5, 8}.

c) For s = {1, 5, 7, 11}:

  - For 1, (1)²/3 = 1/3, and ⌊1/3⌋ = 0.

  - For 5, (5)²/3 = 25/3, and ⌊25/3⌋ = 8.

  - For 7, (7)²/3 = 49/3, and ⌊49/3⌋ = 16.

  - For 11, (11)²/3 = 121/3, and ⌊121/3⌋ = 40.

  Therefore, f(s) = {0, 8, 16, 40}.

d) For s = {2, 6, 10, 14}:

  - For 2, (2)²/3 = 4/3, and ⌊4/3⌋ = 1.

  - For 6, (6)²/3 = 36/3 = 12.

  - For 10, (10)²/3 = 100/3, and ⌊100/3⌋ = 33.

  - For 14, (14)²/3 = 196

The values of f(s) for the given sets show how the function ⌊x²/3⌋, which represents the floor of x²/3, behaves for different inputs.

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Answer:

AB = 26

Step-by-step explanation:

BC = 36

AC = 62

AB = ?

to find ab we need to

AB + BC = AC (given)

AB + 36 = 62

AB = 62 - 36

AB = 26

The presence of dappled brown patches on a patient's cheek may indicate a condition called melasma. Melasma is a common skin condition that typically affects women and is associated with hormonal changes, sun exposure, and genetic factors.

Dappled brown patches on the cheek often suggest a condition called melasma. Melasma is a common skin disorder characterized by the development of dark, irregularly shaped patches on the skin. It typically affects women, especially those with darker skin tones, and is often associated with hormonal changes, such as during pregnancy or with the use of birth control pills. Sun exposure is another contributing factor to the development of melasma. Genetic factors also play a role, as it tends to run in families. Melasma is not a harmful or dangerous condition but can cause cosmetic concerns and affect a person's self-esteem.

To manage melasma, various treatment options are available. These include topical creams containing ingredients such as hydroquinone, tretinoin, or corticosteroids, which can help lighten the patches over time.

Chemical peels that involve the application of a chemical solution to exfoliate the skin and reduce hyperpigmentation may also be used. In some cases, laser therapy can be beneficial to target and break up the excess pigment in the affected areas.

It's important to note that melasma may recur, especially with sun exposure, so it's essential to protect the skin from the sun by wearing sunscreen and using protective clothing. Consulting a dermatologist is recommended to determine the most appropriate treatment approach for an individual case of melasma.

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Answer:

2. 11x - 10

3. -8 + 11x - 2

5. -8 + 6x + 5x -2

Step-by-step explanation:

To find the equivalent expressions, find the solution to the expression -2(4 - 3x) + (5x - 2). All expressions that are within the solving process or have the same solution are equal to the given expression.

-2(4 - 3x) + (5x - 2)

-2(4 - 3x) + 5x - 2

-8 + 6x + 5x - 2

-8 + 11x - 2

11x - 10

In this case, the equivalent expressions were within the solving process. From this, we can see that the equivalent expressions are 11x - 10, -8 + 11x - 2, and -8 + 6x + 5x - 2. Aka choices 2, 3, and 5.

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The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

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

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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Answer:

Noice

Step-by-step explanation:

Answer:

41 ft² is the answer thank you

Answer:

the answer is 53 ft

Step-by-step explanation:

fist take the 3*3 square = 9

then the 4*11= 44(11 because I ssume the 8 ft does not account for the 3ft of the box)(if it is 8 ft then the answer is 41 ft^2 overall)

44+9= 53

Answer:

X = 3

Mode: 11median: 9

Step-by-step explanations

3x = 3*2 = 6

(6,7,8,8,9,10,11,11,11)/9 = 81/9 = 9

The value of X = 3

Mode: 11

Median: 9

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Mode is that number that appears most frequently in the given set of data.

We are given that  the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11 if the mean age is 9 years

3x = 3(2 )= 6

Mean = (6,7,8,8,9,10,11,11,11)/9

= 81/9

= 9

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There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Corresponding angles are two angles that are formed by two coplanar lines and a transversal and they occupy the same relative positions.

There are numerous pairs of angles that are created when a transversal cuts any two parallel lines. These angles include consecutive interior angles, alternate interior and exterior angles, and comparable angles.

Each set of comparable angles are equal when a transversal cuts two parallel lines.

The angles that occupy the same relative location when a transversal cuts two or more lines are known as corresponding angles. The matching angles are equivalent when the lines are parallel.

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The measure of QT is 58.

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add up to 180 degrees.

We have,

All the sides of the given rhombus are equal.

So,

13s + 45 = 6s + 52

Solve for s.

13s + 45 = 6s + 52

13s - 6s = 52 - 45

7s = 7

s = 1

Now,

QT = 6s + 52

QT = 6 x 1 + 52

QT = 6 + 52

QT = 58

Thus,

The measure of QT is 58.

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Part A: The factored expression is 8x(5x - 2)

Part B: The expression is 4x - 16

Note that algebraic expressions are described as expressions that consists of coefficients, factors, constants, terms and variables.

They are also made up of arithmetic operations such as addition, subtraction, bracket, parentheses, multiplication and division

From the information given, we have that;

40x² and 16x

40x² - 16x

factorize the values

8x(5x - 2)

To add the expressions;

(10x+8) - 3(2x + 8)

expand the bracket, we have;

10x + 8 - 6x - 24

collect the like terms

4x - 16

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Answer:

−4; the amount of bait decreases by 4 pieces each hour

Step-by-step explanation

Answer:

−4; the amount of bait decreases by 4 pieces each hour

Step-by-step explanation:

I did the exam and got it right .

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