A number y, when rounded to 2 decimal places, is equal to 9. 68. Find the upper and lower bound

Answers

Answer 1

If the number when rounded to 2 decimal places  is equal to 9.68, then the upper bound is 9.685 and lower bound is 9.675 .

In order to find the upper bound of the number y, we need to add 0.005,

and to find the lower bound of the number y, we need to subtract 0.005 ,

We know that, the number y, when rounded to 2 decimal places is equal to 9.68 ;

So, the Upper Bound is = 9.68 + 0.005 = 9.685, and

The Lower Bound is = 9.68 - 0.005 = 9.675.

Therefore, the lower bound of y is 9.675 and upper bound of y is 9.685.

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Related Questions

3.[10points]Suppose{v1​,…,vk​}is an orthogonal basis of a subspaceVofRnand{w1​,…,wℓ​}is an orthogonal basis ofV⊥. (a) Show that{v1​,…,vk​,w1​,…,wℓ​}is an orthogonal set. (b) Show that{v1​,…,vk​,w1​,…,wℓ​}is basis ofRn. (c) Show thatdimV+dimV⊥=n

Answers

(a) To show that {v1​,…,vk​,w1​,…,wℓ​} is an orthogonal set, we must show that the inner product of any two distinct vectors in this set is 0.

(b) To show that {v1​,…,vk​,w1​,…,wℓ​} is a basis of Rn, we must show that any vector in Rn can be written as a linear combination of these vectors.

(c) To show that dim V + dim V⊥ = n, we must show that the number of vectors in {v1​,…,vk​,w1​,…,wℓ​} is equal to n.

Let v and w be any two distinct vectors in the set {v1​,…,vk​,w1​,…,wℓ​}. By definition, since {v1​,…,vk​} is an orthogonal basis of a subspace V of Rn and {w1​,…,wℓ​} is an orthogonal basis of V⊥, we have that v and w are either in V or in V⊥, but not both.

Thus, if v is in V, then we have  = 0, because w is in V⊥. Similarly, if w is in V⊥, then  = 0, because v is in V. Therefore,  = 0 for any two distinct vectors v and w in {v1​,…,vk​,w1​,…,wℓ​}, which implies that {v1​,…,vk​,w1​,…,wℓ​} is an orthogonal set.

(b) Let x be any vector in Rn. Since {v1​,…,vk​} is a basis of V, x can be written as a linear combination of the vectors in {v1​,…,vk​}, that is, x = a1v1 + a2v2 + ... + akvk.

Since {w1​,…,wℓ​} is a basis of V⊥, x can also be written as a linear combination of the vectors in {w1​,…,wℓ​}, that is, x = b1w1 + b2w2 + ... + bℓwℓ.

Combining these two equations, we can write x = (a1v1 + a2v2 + ... + akvk) + (b1w1 + b2w2 + ... + bℓwℓ). Thus, any vector in Rn can be written as a linear combination of the vectors in {v1​,…,vk​,w1​,…,wℓ​}, which implies that {v1​,…,vk​,w1​,…,wℓ​} is a basis of Rn.

By definition, {v1​,…,vk​} is an orthogonal basis of a subspace V of Rn, so dim V = k. Similarly, {w1​,…,wℓ​} is an orthogonal basis of V⊥, so dim V⊥ = ℓ. Thus, the number of vectors in {v1​,…,vk​,w1​,…,wℓ​} is k + ℓ = n, which implies that dim V + dim V⊥ = n.

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3/a times what equals 1

Answers

Answer: 3

Step-by-step explanation: try to solve for a by itself by multiplying it on both sides that give you 3 = 1*a. that simply just means that a is equal to 3, so you substitute three to the a variable that will give 3/3 that's equal to 1.

(1 point) If the 100th term of an arithmetic sequence is 783, and its common difference is 8, then its first term a = 9 its second term Q2 = its third term az = (1 point) Express the following sum i

Answers

The first term is 9, the second term is 17, and the third term is 25.

The 100th term of an arithmetic sequence is given by the formula:

Tn = a + (n-1)d

Where Tn is the nth term, a is the first term, n is the number of terms, and d is the common difference.

In this case, the 100th term is 783, the common difference is 8, and the first term is 9.

Plugging in the values into the formula, we get:

783 = 9 + (100-1)8

Solving for the first term, we get:

783 = 9 + 792

783 = 801

a = 9

The second term, Q2, can be found by adding the common difference to the first term:

Q2 = a + d

Q2 = 9 + 8

Q2 = 17

The third term, az, can be found by adding the common difference to the second term:

az = Q2 + d

az = 17 + 8

az = 25

the first term is 9, the second term is 17, and the third term is 25.

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A washing machine holds 10 gallons of water and drains 8 of the gallons in 2 minutes. What was the average flow through the pipe in 2 minutes?
gallons/min

Answers

8 gallons because u have 10 and it drains 8 in 2min so if it is asking you what is the average flow through the pipes in 2min it would be 8 gallons

The answer is 8

Pls solve asap helpppppppp please immediately it due soon

Answers

The number of squares wide needed is 7 squares and the number that can be used to replace A is 0.1 km.

What are Grid squares:

Grid squares are a way to represent two-dimensional space using a grid of squares, with each square representing a unit of length.

Grid squares are often used in various fields, such as computer graphics, geographic information systems, and mathematics, to represent and manipulate two-dimensional data.

Here we have

The table shows the distance traveled in a time period

The maximum time is shown in a table = 35 minutes

Let 1 unit = 5 minutes

Number of squares used to represent 35 minutes = 35/5 = 7

Therefore, the number of squares wide needs = 7 blocks

Given that the grid is 20 squares tall

The maximum distance in a table = 1.8 km  

Let's take the total distance = 2 km

The number of squares along length = 2 km/20 = 0.1

Therefore,

The number of squares wide needed is 7 squares and the number that can be used to replace A is 0.1 km.

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The coordinates of two triangles
are shown in the table. Is XYZ a dilation of JKL? Write an
argument that can be used to defend your solution.
AJKL

J
K
L
(a, b)
(c,d)
(a, d)
X
Y
Z

AXYZ
(3a, 6b)
(3c, 6d)
(3a, 6d)

Answers

The argument for the dilation is that: No, in order for one figure to be dilated of another, both coordinates of all points must be multiplied by the same constant

How to determine the true statement about the dilation

The complete question is added as an attachment

From the attached table of values, we can see that:

The coordinates of x are multiplied by 3, while the coordinates of y are multiplied by 6

This means that

The figure is not properly dilated, because these coordinates must be multiplied by the same constant value

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HELP ASAP PLSSSSS
Complete the frequency table:


Method of Travel to School
Walk/Bike Bus Car Row totals
Under age 15 60
Age 15 and above 65 195
Column totals 152 110 98 360


How many students age 15 and above take a car to school?
18
38
50
87

Answers

The correct option is (b) i.e. there are 38 students age 15 and above who take a car to school.

What is a linear equation?

A linear equation is one in which the maximum power of the variable is one. Mathematically, an equation of the type axe + b = 0 or axe + by + c = 0, where a, b, and c are real integers and x and y are variables of maximum power one.

We know that,

Students under age 15 who prefer walk/bike + Students age 15 and above who prefer walk/bike = total of column

So, Students under age 15 who prefer walk/bike

   = total of column - Students age 15 and above who prefer walk/bike

   = 152 - 65

   = 87.

Now, total of rows = total of columns

       Row 1 + Row 2 = 360

      Row 1 = 360 - Row 2

                 =360-195

                 = 165.

Now, Students under age 15 who prefer bus + Students under age 15 who prefer walk/bike + Students under age 15 who prefer car = Row table

So, Students under age 15 who prefer bus

    = 165 - 60 - 87

    = 18.

Similarly,

Students under age 15 who prefer bus + Students 15 and above who prefer bus  = column total

So, Students 15 and above who prefer bus  = 110 - 18

                                                                         = 92.

Finally, students age 15 and above take a car to school

           = 195 - 92 - 65

           = 38.

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Robert can move the inventory from his store from the truck to the shelves in 12 hours. Alan can do the same job, but it takes him 16 hours. How many hours would it take them if Alan and Robert worked

Answers

If Alan and Robert worked together, it would take them 6.857 hours to move the inventory from the truck to the shelves

If Robert can move the inventory from his store from the truck to the shelves in 12 hours and Alan can do the same job in 16 hours, then we can find the time it would take for them to do the job together by using the formula for combined work rate:

1/t = 1/12 + 1/16

Multiplying both sides of the equation by 48t gives us:

48 = 4t + 3t

Simplifying and solving for t gives us:

48 = 7t

t = 48/7

t = 6.857 hours


It would take Alan and Robert approximately 6.857 hours to move the inventory working together.

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Work out the area of trapezium H.
If your answer is a decimal, give it to 1 d.p.

URGENTLY NEED HELP

Answers

Answer:

Step-by-step explanation:

I don't know if this is right but i'm just trying to help you. So I did 27 times 9 because the blue part is 9cm and the pink part H is 27cm, I got 243. Then the whole thing is 243cm but you see how it says in blue area=30cm well that means that that small peace if 30cm out of the whole 243cm, so what I did was i subtracted 243cm by 30cm and I got a answer of 213 cm. If that was what you had needed help on. I hope i helped you even a little bit, please let me know if i did help you. And also um i don't know how to friend someone so if you can tell me how to friend someone i was thinking about friending you. And ill also just you some points if you want, say mabey like 10 or 20 points. Thanks and hoped that helped and good luck buddy. :)

For the following exercises, evaluate the exponential functions for the indicated value of 43.g(x)=31​(7)x−2forg(6). 44.f(x)=4(2)x−1−2forf(5)

Answers

43. g(6) = 5602.33

44. f(5) = 61.

The exponential function is defined by the equation:g(x) = 31​(7)x − 2So, we need to evaluate the function g(x) at x = 6. Then, g(6) is given by;g(6) = 31​(7)6 − 2= 31​(7)4= 16807/3Thus, g(6) = 5602.33 (rounded to two decimal places).Similarly, the exponential function is defined by the equation:f(x) = 4(2)x − 1 − 2We need to evaluate the function f(x) at x = 5. Then, f(5) is given by;f(5) = 4(2)5 − 1 − 2= 4(16) − 1 − 2= 64 − 1 − 2= 61Thus, f(5) = 61.

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A box contains a penny, a nickel, and a dime.

​ Find the probability of choosing a dime first and without replacing the dime, choosing a penny.
A 1/6
B 1/7
C 1/8
​D 1/9

Answers

Answer:When we choose a dime from the box, there are two coins left, one penny and one nickel. Since we do not replace the dime, the probability of choosing a penny next is 1/2.

Therefore, the probability of choosing a dime first and a penny second is:

P(dime first and penny second) = P(dime first) * P(penny second | dime first)

= (1/3) * (1/2)

= 1/6

So, the answer is A. 1/6.

Step-by-step explanation:

A baker can decorate one cake in 2/3 hour. What is the total of hours the baker needs to decorate 4 1/2cakes

Answers

The baker needs a total of 3 hours to decorate 4 1/2 cakes.

How to determine the time to decorate the cakes

To decorate one cake, the baker needs 2/3 hour.

To find out how long it takes to decorate 4 1/2 cakes, we need to multiply the time for one cake by 4 1/2 i.e. 9/2

Time for 4 1/2 cakes = (2/3) x (9/2)

When the products are evaluated, we have

Time for 4 1/2 cakes = 3

So, the time taken is 3 hours

Therefore, the baker needs a total of 3 hours to decorate 4 1/2 cakes.

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Kendra is making hamburgers for her family barbecue. She has bought three packages of ground beef with masses of 0. 652 kg, 0. 545 kg, and 0. 824 kg. If each hamburger she makes has a mass of about 0. 125 kg, how many whole hamburgers can she make?

Answers

If each hamburger she makes has a mass of about 0. 125 kg she can make a maximum of 16 hamburgers with the amount of ground beef she has.

To determine how many hamburgers Kendra can make, we need to divide the total mass of ground beef by the mass of each hamburger:

Total mass of ground beef = 0.652 kg + 0.545 kg + 0.824 kg = 2.021 kg

Number of hamburgers = Total mass of ground beef / Mass of each hamburger

Number of hamburgers = 2.021 kg / 0.125 kg = 16.168

Since Kendra can only make whole hamburgers, she can make a maximum of 16 hamburgers with the amount of ground beef she has.

Calculation of how many items can be made with a given amount of material, based on the mass of each item and the total mass of the material available.

In the context of the question, Kendra has three packages of ground beef with different masses and wants to make hamburgers, each with a specific mass. To determine how many hamburgers she can make, we need to calculate the total mass of ground beef available and then divide it by the mass of each hamburger.

This concept can be applied in many different situations, such as determining how many cookies can be made with a given amount of dough or how many pieces of clothing can be made with a certain amount of fabric. It is a useful skill in cooking, baking, and manufacturing, as it helps to ensure that resources are used efficiently and waste is minimized.

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One leg of a right triangle measures 7 feet. If the other leg is 1 foot shorter than the hypotenuse, find the dimensions of the triangle.

Answers

One leg of a right triangle measures 7 feet. If the other leg is 1 foot shorter than the hypotenuse, the dimensions of the right triangle will be 7 feet, 24 feet, and 25 feet.

To find the dimensions of the right triangle, we can use the Pythagorean Theorem, which states that for any right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two legs. The formula for the Pythagorean Theorem is a² + b2 = c2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

We are given that one leg of the triangle measures 7 feet, and the other leg is 1 foot shorter than the hypotenuse. Let's call the length of the other leg x and the length of the hypotenuse x + 1. We can plug these values into the Pythagorean Theorem to find the dimensions of the triangle:

72 + x2 = (x + 1)2

49 + x2 = x2 + 2x + 1

48 = 2x

x = 24

So the other leg of the triangle measures 24 feet, and the hypotenuse measures 24 + 1 = 25 feet. The dimensions of the right triangle are 7 feet, 24 feet, and 25 feet.

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Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?

Answers

Therefore, Annabel sent her brother 3 text messages each day for the past 13 days.

What are the terms divisor, dividend, and remainder?

The dividend must be divided by a certain number, which is known as the divisor. Quotient: The division's outcome is referred to as the quotient. Remainder – The remainder is the number that remains after division.

In this example, the number being divided (15) is known as the dividend, and the number being divided by (3 in this instance) is known as the divisor. The quotient is the outcome of the division. Observe how the equation remains valid even if you change the quotient and divisor: 15 3 = 5. 15 5 = 3.

To determine how many text messages Annabel sent her brother each day, we can divide the total number of text messages she sent by the number of days she sent them.

So, we divide 39 by 13 to get:

39 ÷ 13 = 3

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Pls help! How do you write 8xy^2+1x^2-4x^2y-7y in standard form?

Answers

x² - 7y - 4x²y + 8xy² is standard form of equation.

What are equations, and what different kinds are there?

Equations can be divided into two categories: identities and conditional equations. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth.

                     When two expressions are joined together by the equals sign ("="), the result is an equation. A mathematical statement that demonstrates the equality of two mathematical expressions is the definition of an equation.

  8xy²+1x²-4x²y-7y

standard form = 8xy² + 1x² - 4x²y - 7y

                       =  x² - 7y - 4x²y + 8xy²

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determine how many positive real zeros the polynomial function may nave. f(x)=-7x^(7)+x^(3)-x^(2)+1

Answers

The possible number of positive real zeros for the given polynomial function is 2 or 0.

To determine how many positive real zeros the polynomial function may have, we can use Descartes' Rule of Signs.

Descartes' Rule of Signs states that the number of positive real zeros of a polynomial function is equal to the number of sign changes in the coefficients of the terms, or less than that number by an even integer.

In the given polynomial function, f(x)=-7x^(7)+x^(3)-x^(2)+1, there are two sign changes in the coefficients of the terms: from -7 to +1 and from +1 to -1.

Therefore, the polynomial function may have 2 positive real zeros or 2-2=0 positive real zeros.

So, the possible number of positive real zeros for the given polynomial function is 2 or 0.

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Performance task prize patrol

Answers

A performance task is any educational activity or assessment that calls for students to perform in order to demonstrate their comprehension, competency, and knowledge.

How would you define activity?

Mathematical activity includes the search for patterns as well as experimentation, description, fiddling, invention, picturing, conjecture, and guesswork.

A series of recurrent numbers, symbols, or shapes is referred to in mathematics as a pattern. Every kind of event or thing has a pattern that can be connected to it. A rule that distinguishes between items that are a part of a pattern and those that are not is known as a pattern.

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Complete question:

What is Performance task?

What is x>-4 graphed and it slope and y-intercept?

Answers

Answer: See attached for the graph. There is an undefined slope and no y-intercept.

Step-by-step explanation:

      See attached for a graph. Since this is only greater than, (>) we will use a dashed line. Then we will shade everything greater than -4.

      The slope of this graph is undefined because this line is straight up and down. If we try to write it as an equation, you end up dividing by zero (which ends up undefined)

      Lastly, there is no y-intercept. Since this line does not cross the y-axis, there is no point of intersection.

Which of the following is the
graph of
(x + 3)² + (y + 1)² = 9?

Answers

It would be b. You can check because the center is (-3,-1). Hope this helps

Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 47 cards, which was 4% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?

Answers

Answer:

We can use the concept of percentage to solve this problem.

Let's represent the total number of cards sold for Mother's Day by "x". We know that one salesman sold 47 cards, which was 4% of the total number of cards sold. So we can set up an equation:

0.04x = 47

Solving for "x", we divide both sides by 0.04:

x = 47 / 0.04

Using a calculator, we get:

x = 1175

Therefore, the total number of cards sold for Mother's Day was 1175.

Which equations are equivalent to Negative one-fourth (x) + three-fourths = 12 Select all that apply. (StartFraction negative 4 x over 1 EndFraction + three-fourths = 12 Negative 1 (StartFraction x over 4 EndFraction) + three-fourths = 12 StartFraction negative x + 3 over 4 EndFraction = 12 One-fourth (x + 3) = 12 (StartFraction negative x over 4 EndFraction + three-fourths = 12

Answers

Answer:

X = -2

Explanation

12 (x+3) = 12

extra points for help (dont guess please)

Answers

The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

What exactly are exponential functions?

Exponential functions are functions that involve a variable exponent. They are of the form f(x) = aˣ, where "a" is a positive constant base and "x" is the variable exponent.

Exponential functions exhibit rapid growth or decay, depending on the value of "a" and the sign of "x". For example, if "a" is greater than 1, the function grows rapidly as "x" increases, while if "a" is between 0 and 1, the function decays rapidly as "x" increases.

Now,

As stated above that for exponential function y=aˣ

when a>1 it shows exponential growth

and when a<1 it shows decay.

hence,

          The exponential functions y=1.2ˣ  shows exponential growth and y=0.71ˣ shows exponential decay.

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Theo is looking at a map of a water park that is laid out on a coordinate plane. Theo's current location is at (5, 0) on the map. The wave pool is at (–8, –12) and the tube slide is at (10, 11). Each unit on the map represents 25 yards. How much closer is Theo to the tube slide than the wave pool? Round to the nearest yard.

Answers

Using coordinate geometry, we can find that Theo is 5.61 units closer to the tube slide than the wave pool.

How to calculate distance in coordinate geometry?

Using the formula obtained from Pythagoras' theorem, distance can be computed. In coordinate geometry, the formula for distance is:

√ [(x2 – x1) ² + (y2 – y1) ²].

Given,

Theo is at point (5,0)

Wave pool is at point (-8, -12)

Tube Slide is at point (10,11)

We must first figure out how far Theo is from each ride in order to gauge how near he is to any of them. The distance formula can be used to achieve this.

By distance formula to find distance between two points (x1, y1) and (x2, y2), d= √[(x2-x1) ² + (y2-y1) ²]

Distance between Theo and wave pool is=

d= √ [(-13) ² + (-12) ²]

d= √313

d= 17.69 units.

Distance between Theo and tube slide is=

d= √ [5² + 11²]

d= √146

d = 12.08 units.

Difference between the two distances = 17.69 - 12.08

= 5.61 units.

Therefore, Theo is 5.61 units closer to the tube slide than the wave pool.

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Chapter Exercise 10-77
Rates of return (annualized) in two investment portfolios are compared over the last 12 quarters. They are considered similar in safety, but portfolio B is advertised as being "less volatile." (a) At α = .025, does the sample show that portfolio A has significantly greater variance in rates of return than portfolio B? (b) At α = .025, is there a significant difference in the means?
Portfolio A
Portfolio B
5.23
8.96
10.91
8.60
12.49
7.61
4.17
6.60
5.54
7.77
8.68
7.06
7.89
7.68
9.82
7.62
9.62
8.71
4.93
8.97
11.66
7.71
11.49
9.91
(a-1) Choose the appropriate hypotheses. Assume σA2 is the variance of the Portfolio A and σB2 is the variance of the Portfolio B.
multiple choice 1
H0: σA2/σB2 ≤ 1 versus H1: σA2/σB2 > 1 Correct
H0: σA2/σB2 = 1 versus H1: σA2/σB2 ≠ 1
H0: σA2/σB2 ≥ 1 versus H1: σA2/σB2 < 1

Answers

(a) Yes, At α = .025, the sample show that portfolio A has significantly greater variance in rates of return than portfolio B. The correct hypotheses for this problem are H0: σA2/σB2 ≤ 1 versus H1: σA2/σB2 > 1.

The appropriate hypotheses are H0: σA2/σB2 ≤ 1 versus H1: σA2/σB2 > 1.  This is because we are testing if portfolio A has significantly greater variance in rates of return than portfolio B.

If the null hypothesis is true, then the ratio of the variances will be less than or equal to 1, meaning that portfolio A does not have greater variance than portfolio B. If the alternative hypothesis is true, then the ratio of the variances will be greater than 1, meaning that portfolio A does have greater variance than portfolio B.

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Which formula can be used to determine the n ^ (th) term of the arithmetic sequence 6, 15, 24, 33, 42;
A f(n) = - 3 - 9n;
B f(n) = - 3 + 9n;
C f(n) = 6 - 9n;
D f(n) = 6 + 9n

Answers

The formula for the nth term of the arithmetic sequence is 3(3n-1) or -3+9n(option B)

What is arithmetic sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.

The nth term of a n arithmetic sequence is given as:

a(n) = a+(n-1)d

where a is the first term and d is the common difference

a = 6

d = 15-6 = 9

a(n) = 6+( n-1) 9

= 6+9n -9

a(n) = 9n-3

a(n) = 3(3n-1)

therefore the formula for the nth term of the sequence is 3(3n-1)

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3. Diego works at a carwash and makes a $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn?
Consider that overtime is paid at time-and-a-half of his regular rate.
- $158.40
-$130.00
- $150.40
-$148.50

Answers

The amount of overtime that Diego would earn would be D. $ 148. 50.

How to find the overtime ?

Diego's regular rate is $11 per hour. When he works overtime, he is paid time-and-a-half of his regular rate, which means he earns an additional 50% of his regular rate for each hour of overtime.

So his overtime rate is:

= 11 + ( 11 x 0.5)

= 11 +  5.50

= $16.50 per hour

If Diego works 9 hours of overtime in a week, he would earn:

= 9 x 16.50

= $ 148. 50

In conclusion, if Diego was to work 9 hours of overtime, he would be paid $ 148. 50 for his efforts.

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Subtract. (7)/(12vx^(2))-(3)/(8v^(2)x) Simplify your answer as much as possible.

Answers

Subtracting the expression (3)/(8v²x) from the expression (7)/(12vx²) will result to the expression (14v - 9x)/(24v²x²).

To subtract the two fractions, we need to find a common denominator. The least common denominator (LCD) is the least common multiple of the denominators of two or more fractions, and it is used to find a common denominator so that we can perform operations on them. The LCD of 12vx² and 8v²x is 24v²x². We can then multiply each fraction by the LCD to get the same denominator and subtract the numerators.

(7)/(12vx²) x (24v²x²)/(24v²x²) - (3)/(8v²x) x (24v²x²)/(24v²x²) = (14v)/(24v²x²) - (9x)/(24v²x²) = (14v - 9x)/(24v²x²)


So the simplified answer is (14v - 9x)/(24v²x²).

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Help me with this please

Answers

Answer:

hypothesis of the medicine is incomplete

Step-by-step explanation:

so we have.to apply bodmas

When the the doctor's claim is correct, the probability that exactly 19 patients will recover when given the new medicine is 0.1444.

How to calculate the probability

a) The suitable distribution to model the number of patients in this sample who recover when given the new medicine is the binomial distribution. We can assume that each patient has a fixed probability of success (i.e., recovering) and that the outcomes of each patient are independent of each other.

b) If the claim is correct, then the probability of success (recovering) for each patient is p = 0.8. Let X be the number of patients in the sample who recover when given the new medicine. Then X follows a binomial distribution with parameters n = 25 (the sample size) and p = 0.8 (the probability of success).

The probability of exactly 19 patients recovering is given by:

P(X = 19) = (25 choose 19) * (0.8)^19 * (1-0.8)^(25-19)

where (25 choose 19) is the binomial coefficient, which represents the number of ways to choose 19 patients out of 25.

Using a calculator, we can compute:

P(X = 19) = 0.1444

Therefore, if the doctor's claim is correct, the probability that exactly 19 patients will recover when given the new medicine is 0.1444.

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how to find the % of any number?

Answers

Answer:

Divide the number by 100

Step-by-step explanation:

The percentage of a number is it's relation in terms of 100. So to get the percentage of a number you have to divide it by 100

e.g 10 is a number

10/100

That is 0.1%

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