Alebra, pick all the equations that represent the graph below, there is 3 answers

Alebra, Pick All The Equations That Represent The Graph Below, There Is 3 Answers

Answers

Answer 1

There are a few ways to work this one.  

The first thing to know is that if (1,0) is an x-intercept, then (x-1) will be a factor in the factored version.  So this makes the first answer correct and the second one not:

Yes: y = 3(x-1)(x-3)

No:  y = 3(x+1)(x+3)

The second thing to know is that if (h,k) is the vertex, then equation in vertex form will be y = a (x-h)^2 + k.

Since (2,-3) is the vertex, then the equation would be y = a (x-2)^2 -3.

This makes the third answer correct and the fourth not:

Yes: y = 3(x-2)^2 - 3

No: y = 3(x+2)^2 + 3

By default, this means that the last answer must work, since you said there are 3 answers.

We can confirm it is correct (and not a trick question) by factoring the last answer:

   y = 3x^2 - 12x +9

     = 3 (x^2 -4x +3)

     = 3 (x-3)(x-1)

And this matches our first answer.


Related Questions

Ayesha, Laurel, Gemma, Reid, Emma, Gita, and Maas write their names on small pieces of paper and put them into a hat. A name is pulled from the hat without looking. Use a fraction to describe the theoretical probability of each event. Then order the events from most likely to least likely. The name drawn starts with a "G." The name drawn does not start with a vowel. The name drawn ends with an "a." The name drawn contains an "e." The name drawn contains a "z."​

Answers

Answer:

Emma and Maas and other people

On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number?

A coordinate plane is shown. Point A is in quadrant 1, point B is in quadrant 2, point C is in quadrant 3, and point D is in quadrant 4.

A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Quadrant 1 is (+,+), quadrant 2 is (-,+), quadrant 3 (-,-), and quadrant 4 is (+,-).

Plz someone answer this for me asap !
Find the perimeter of each shape

Equation :
X:
Perimeter:

Plz someone answer this for me asap ! Find the perimeter of each shape Equation : X: Perimeter:

Answers

Answer:

The equation is;

4(2.5x-3) = 3(2x-2)

The value of x is 1.5

Step-by-step explanation:

Mathematically, the perimeter of a square is simply the product of the length of the side and 4

Secondly, the perimeter of an equilateral lateral triangle is the product of the length of its side and 3

Thus, mathematically, we have it that;

4(2.5x-3) = 3(2x-2)

10x - 12 = 6x -6

10x -6x = -6 + 12

4x = 6

x = 6/4

x = 1.5

guys pls help me!!!!!!

guys pls help me!!!!!!

Answers

Answer:

\(x + 56 = 180 (corresondig \: angle)\\ x = 180 - 56 \\ x = 134\)

hope this will help you

please help me!!! Finals today DESPERATE

please help me!!! Finals today DESPERATE

Answers

For the figure 7, the measure of each angle is:

a) m ∠1=131°

b) m ∠2=49°

c) m ∠3=92°

d) m ∠4=88°

e) m ∠5=92°

f) m ∠6=88°

g)  m ∠8=49°

h) m∠9=92°

i) m ∠10=88°

j) m ∠11=131°

k) m ∠12=49°

l) m ∠13=131°

m) m ∠14=49°

n) m ∠15=92°

For the figure 8,

a) m ∠1=12°

b) m ∠3=105°

c) m ∠4=12°

d) m ∠5= 63°

e) m ∠6=105°

f) m∠7=105°

g) m ∠8=105°

h) m ∠11=12°

i) m ∠12=168°

j) m ∠13=12°

k) m ∠14=168°

What is meant by an angle?

An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

7) From the figure,

m ∠7=131°

m ∠7=m ∠1

m ∠1=131°

m ∠1+m ∠7+m ∠2+m ∠8=360°

131°+131°+ m ∠2+m ∠8=360°

m ∠2+m ∠8=360°-262°

m ∠2+m ∠8=98°

m ∠2=m ∠8

2m ∠2=98°

m ∠2=49°

m ∠8=49°

And also given that,

m ∠16= 88°

m ∠10=88°

m ∠10+m ∠16+m ∠9+m ∠15=360°

m ∠9+m ∠15=360°-176°

=184°

m ∠9=92°

m ∠15= 92°

m ∠11=m ∠7

m ∠11=131°

m ∠11=m ∠13

m ∠12= m ∠14=m ∠2= m ∠8=49°

m ∠10= m ∠16= m ∠6=m ∠4=88°

m ∠3=m ∠5= m∠9=m ∠15=92°

a) m ∠1=131°

b) m ∠2=49°

c) m ∠3=92°

d) m ∠4=88°

e) m ∠5=92°

f) m ∠6=88°

g)  m ∠8=49°

h) m∠9=92°

i) m ∠10=88°

j) m ∠11=131°

k) m ∠12=49°

l) m ∠13=131°

m) m ∠14=49°

n) m ∠15=92°

8) From the figure,

m ∠2=63°, m ∠9=105°

m ∠2=m ∠5= 63°

m ∠6+ m ∠5+m ∠4=180°

m ∠9= m∠7=m ∠6=m ∠3=105°

m ∠4=180°-63°-105°

m ∠4=12°

m ∠4=m ∠1= m ∠13=m ∠11=12°

m ∠11+m ∠13+m ∠12+m ∠14=360°

m ∠12=m ∠14

2m ∠12=360°-24°=336°

m ∠12=168°

m ∠12=m ∠14=168°

m ∠3=m ∠10=m ∠8=105°

a) m ∠1=12°

b) m ∠3=105°

c) m ∠4=12°

d) m ∠5= 63°

e) m ∠6=105°

f) m∠7=105°

g) m ∠8=105°

h) m ∠11=12°

i) m ∠12=168°

j) m ∠13=12°

k) m ∠14=168°

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What is the solution for the system of linear equations shown in the graph? 3 3 2 2 2 DON 2 -3 a 7 7 3 N 3 4
I'll give brainiest to first answer if its correct pleass​

What is the solution for the system of linear equations shown in the graph? 3 3 2 2 2 DON 2 -3 a 7 7

Answers

The solution is given by the point of intersection of the two lines which is (-1/4, 3/4).

To find the point of intersection of two lines, we need to determine the equations of the lines and then solve them simultaneously.

Finding the equation of the first line passing through the points (-1, 3) and (0, 0).

The slope of the line (m1) can be calculated using the formula:

m1 = (y2 - y1) / (x2 - x1)

Substituting the values (-1, 3) and (0, 0):

m1 = (0 - 3) / (0 - (-1))

= -3 / 1

= -3

Using the point-slope form of the line equation:

y - y1 = m1(x - x1)

Substituting the values (-1, 3):

y - 3 = -3(x - (-1))

y - 3 = -3(x + 1)

y - 3 = -3x - 3

y = -3x

So, the equation of the first line is y = -3x.

Similarly, second line,

The slope of the line (m2) is:

m2 = (2 - 0) / (1 - (-1))

= 2 / 2

= 1

Using the point-slope form with the values (-1, 0):

y - 0 = 1(x - (-1))

y = x + 1

So, the equation of the second line is y = x + 1.

Equating the equations of the lines to find the point of intersection and hence the solution,

-3x = x + 1

0 = 4x + 1

-1 = 4x

x = -1/4

Put x = -1/4 in 2nd equation,

y = x + 1

y = (-1/4) + 1

y = 3/4

Therefore, the point of intersection of the two lines is (-1/4, 3/4).

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Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)

Answers

Answer:

M(13, 14)

-------------------------

Each coordinate of the midpoint is the average of endpoints:

x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14

Therefore M is (13, 14).

the sitting height of drivers must be considered in the design of a new car. the sitting height is measured from the seat to the top of the driver's head, and adults have sitting heights that are normally distributed with a mean of 35.4 in. and a standard deviation of 1.6 in. engineers are planning a design in which only the tallest 2% of adults will be unable to fit. find this sitting height. round your answer to 2 decimal places.

Answers

If the engineers are planning a car design in which only 25 of adults fit , then this sitting height is 38.68 inches .

To find the sitting height for the tallest 2% of adults, we first find z-score for upper 2% of standard Normal Distribution ;

we know ; that z = (x - μ)/σ ;

where z is = z core, x is = sitting height , μ is = mean sitting height, and

σ is = standard deviation of sitting heights.

From the normal table : Upper 2% of standard normal distribution have a z-score of approximately 2.05 ;

So , 2.05 = (x - 35.4)/1.6 ;

Multiplying both sides by 1.6, we get ;

⇒ 3.28 = x - 35.4

On adding 35.4 to both sides, we get:

⇒ x = 38.68 ;

Therefore, the sitting height for the tallest 2% of adults is 38.68 inches .

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How do you find the slope on a graph?

Answers

Answer:

I am unsure of the specifics, I always used slope-intercept form.    

Step-by-step explanation:

If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.

Jason sells his radio for 20% profit.if he bought it for 290$,what did he sell it for?​

Answers

Answer:

$348

Step-by-step explanation:

original value times 1+ percent increase

290 * (1+.20)

290 * 1.20 = 348

Jason sold his radio for $348

PLEASE GUYS HELP ITS DUE TONIGHT​

PLEASE GUYS HELP ITS DUE TONIGHT

Answers

Answer:

20. AB = 42

21. BC = 28

22. AC = 70

23. BC = 20.4

24. FH = 48

25. DE = 10, EF = 10, DF = 20

Step-by-step explanation:

✍️Given:

AB = 2x + 7

BC = 28

AC = 4x,

20. Assuming B is between A and C, thus:

AB + BC = AC (Segment Addition Postulate)

2x + 7 + 28 = 4x (substitution)

Collect like terms

2x + 35 = 4x

35 = 4x - 2x

35 = 2x

Divide both side by 2

17.5 = x

AB = 2x + 7

Plug in the value of x

AB = 2(17.5) + 7 = 42

21. BC = 28 (given)

22. AC = 4x

Plug in the value of x

AC = 4(17.5) = 70

✍️Given:

AC = 35 and AB = 14.6.

Assuming B is between A and C, thus:

23. AB + BC = AC (Segment Addition Postulate)

14.6 + BC = 35 (Substitution)

Subtract 14.6 from each side

BC = 35 - 14.6

BC = 20.4

24. FH = 7x + 6

FG = 4x

GH = 24

FG + GH = FH (Segment Addition Postulate)

\( 4x + 24 = 7x + 6 \) (substitution)

Collect like terms

\( 4x - 7x = -24 + 6 \)

\( -3x = - 18 \)

Divide both sides by -3

\( x = 6 \)

FH = 7x + 6

Plug in the value of x

FH = 7(6) + 6 = 48

25. DE = 5x, EF = 3x + 4

Given that E bisects DF, therefore,

DE = EF

5x = 3x + 4 (substitution)

Subtract 3x from each side

5x - 3x = 4

2x = 4

Divide both sides by 2

x = 2

DE = 5x

Plug in the value of x

DE = 5(2) = 10

EF = 3x + 4

Plug in the value of x

EF = 3(2) + 4 = 10

DF = DE + EF

DE = 10 + 10 (substitution)

DE = 20

The distance between Saturn and the Sun is 9. 54 AU. (One AU is the same as 150 million kilometers. )This distance in kilometers is ___

million kilometers

Answers

The distance between Saturn and the Sun is about 1.431 billion kilometers or 1.431 x 10⁹ km.

The given distance between Saturn and the Sun is 9.54 AU. One astronomical unit (AU) is equal to the average distance between the Earth and the Sun, which is approximately 150 million kilometers. Therefore, to find the distance between Saturn and the Sun in kilometers, we can multiply 9.54 AU by 150 million kilometers/AU. This gives us a distance of approximately 1.431 billion kilometers. The distance between Saturn and the Sun is an important astronomical measurement that helps scientists understand the solar system and the orbits of planets.

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What is the value of the 2 in 304.72 in fraction form?

Answers

Answer:

the 2 is in the ones place. if you got that wrong then its in the tenths. but im 99 percent sure im correct with the first one.

Step-by-step explanation:

The value of 2 in the decimal 304.72 is 2/100.

What are decimals?

A decimal is a number that is made up of integers and non-integers. The whole numbers are separated from numbers that are not whole number by a decimal point.

3 is the hundreds value. It the first number to the left of the decimal point0 is the tens value. It the second number to the left of the decimal point  4 is the unit value. It the third number to the left of the decimal point  7 is the tenth value.  It is the first number after the decimal point.2 is the hundredth value. It is the second number after the decimal point.

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Select the correct answer.

Factor the given expression.

x2 + 16x + 64


A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2

Pls help will give brainliest if the answer it right

Answers

Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.

Step-by-step explanation:

You welcome

Can I get brainliest when sun else answers?

A cylinder has a radius of 15 feet. Its volume is 5,652 cubic feet. What is the height of the cylinder?

Answers

Answer:

8

Step-by-step explanation:

I just put it in the calculator thint

A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar.
From this sugar mixture, set aside 1/4 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?

A.) 17/24

B.) 11/24

C.) 1/2

D.) 7/12

Answers

Answer:

C) 1/2

Step-by-step explanation:

We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.

From this sugar mixture, 1/4 cup is set aside for the crumb topping.

To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.

We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)

3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.

1/4 cup is set aside for the crumb topping.

So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup

with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Answers

The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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A rectangle’s perimeter and it area have the same numerical value. The width of the rectangle is 3 units. What is the length is the rectangle on units?

Answers

Answer:

6

Step-by-step explanation:

3+3+6+6=18

3*6=18

The cost of 15 orange is Rs 75. How much price of 12 oranges​

Answers

Hello.

First, find the cost of 1 orange by dividing 75 by 15:

75÷15=Rs 5

So that's the cost of 1 orange.

Now, multiply that by 12:

5×12=Rs 60

Therefore, the cost of 12 oranges is Rs 60

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

-10b+3≤-37 or 3b - 10 ≤-25

Answers

The solution to the given inequality is:

b≥4 or b≤-5.

We can also write this as the interval notation:

(-∞, -5] ∪ [4, ∞)

What is inequality?

A connection between two expressions or values that is not equal to each other is referred to as "inequality" in mathematics. The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.

We need to solve the inequality -10b+3≤-37 or 3b - 10 ≤-25.

First, let's solve the first inequality, -10b+3≤-37:

-10b+3≤-37

Subtracting 3 from both sides, we get:

-10b≤-40

Dividing both sides by -10,

b≥4

So the first solution is b≥4.

Now, let's solve the second inequality, 3b - 10 ≤-25.

3b - 10 ≤-25

Adding 10 to both sides, we get:

3b≤-15

Dividing both sides by 3, we get:

b≤-5

So the second solution is b≤-5.

Therefore, the solution to the given inequality is:

b≥4 or b≤-5.

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The complete question:

What is the solution of the composite inequality -10b+3≤-37 or 3b - 10 ≤-25?

Also, write in the interval notation.

Please help due in 15 min!!!!!


Please help due in 15 min!!!!!

Answers

Answer:

Just add it

Step-by-step explanation:

You have to add all the numbers together

41/19 as a decimal rounded to the nearest hundredth

Answers

The decimal rounded to the nearest hundredth is 2.16

What is Decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:

41/19

Now, dividing the fraction

41/19

= 2.1578

Now, rounding off to nearest hundredth focus on thousandth place value whether it is greater than 5 or not.

Hence, the decimal rounded to the nearest hundredth is 2.16

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41/19

= 2.1578

2 = one place value

1 = tenth place value

5 = hundredth place value

7 = thousandth place value

8 = ten thousandth place value.

The value of 41/19 as a decimal rounded to the nearest hundredth is 2.16.

What is place value?

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

41/19

2.1578

5 is in the hundredth place value.

Rounding to the nearest hundredth-place value.

Since the thousandth place value is greater than 4.

We have,

2.16

Thus,

The value of 41/19 as a decimal rounded to the nearest hundredth is 2.16.

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Which comparison of the two equations is accurate?
Equation A: sqrt (x^2+3x-6) = sqrt (x+2)
Equation B: ^3 sqrt (x^2+3x-6) = sqrt (x+2)
O Both equations have different solutions because the square root of a number is not the same as the cube root of a number
O Both equations result in different equations after eliminating the radicals, so they have the different solutions
O Both equations have the same potential solutions, but equation A might have extraneous solutions
O Both equations have the same potential solutions, but equation B might have extraneous solutions

Answers

Answer:C

Step-by-step explanation:

i took it on edge2021

Answer:

The answer is C.

O Both equations have the same potential solutions, but equation A might have extraneous solutions

Step-by-step explanation:

I just took the quiz on edge.

what is the value of 3cubed

Answers

Answer:

27

Step-by-step explanation:

\(3^{3}\) is basically just multiplying the number 3, three times. So 3x3x3. 3x3 is 9, and when you multiply 3 more, it is 27.

Answer:

Step-by-step explanation: 3, because when 3 is cubed you get 27.

In circle R with m/QRS = 30 and QR = 4 units, find the length of arc QS.
Round to the nearest hundredth.
R
S
Q

Answers

The length of arc QS is approximately 2.09 units.

The length of an arc of a circle:

Length of arc = (central angle / 360) × 2 × π × radius

Central angle is the angle in degrees formed by the two radii that define the arc and radius is the radius of the circle.

In this case, we are given that m∠QRS = 30 means that the central angle formed by radii QS and QR is 30 degrees.

We are also given that QR = 4 unit

The radius of the circle is also 4 units.

Substituting these values into the formula, we get:

Length of arc QS = (30 / 360) × 2 × π × 4

Simplifying and rounding to the nearest hundredth we get:

Length of arc QS ≈ 2.09

The length of arc QS is approximately 2.09 units.

An arc of a circle's length:

Arc length equals (central angle / 360) divided by 2 and radius.

Radius is the diameter of the circle, while central angle is the angle, in degrees, produced by the two radii that constitute the arc.

In this instance, we are told that mQRS = 30 denotes the centre angle of 30 degrees created by radii QS and QR.

Also stated is that QR equals 4 units.

The circle also has a radius of 4 units.

When these values are added to the formula, we obtain:

Arc length QS = (30 / 360) 2 4

Rounding to the closest hundredth and simplifying, we obtain:

Arc length QS = 2.09

Arc QS has a length of around 2.09 units.

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What’s 2 plus 2 please let me know I have no idea please tell me please I beg

Answers

Answer:

22

Step-by-step explanation:

Answer: 2+2=4

Step-by-step explanation: Thanks for the points kiddo :)

Anyways if you had 2 dogs and got 2 more you would have 4 dogs in all

please help me out!! points

please help me out!! points

Answers

Answer:

Step-by-step explanation:

MP=27, MN=NO=OP=MP/3=27/3=9

LN=MP-2MN

LN=45-2(9)

LN=45-18

LN=27

A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is ___. a. 0.450 b. 0.9505 c. 0.0495 d. 0

Answers

The probability that the sample mean will be greater than 57.95 is 0.0495.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

\(\mu=53,\sigma=21,\text{n}=49,\text{s}=\frac{21}{\sqrt{49} }=3\)

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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d) A water tank holds 256 gallons, but is leaking at a rate of 3 gallons each week. After how many weeks will the tank contain only 193 gallons
of water?

Answers

Answer:

21 Weeks

Step-by-step explanation:

First you need to find the amount of water lost:

256-193 = 63

Then divide by 3

63/3 = 21

21 weeks

256-193=63
63/3=21

21 weeks

In circle Z, m/Y XW =

59°. Solve for x if mYW = (7x + 34)°. If necessary,

round your answer to the nearest tenth.

Answers

In circle, Value of  x = 3.8 degrees.

To solve for x, we can use the fact that the sum of angles in a triangle is 180 degrees.

First, we know that angle XWY + angle YWX + angle YWZ = 180 degrees. Since we know that angle YWX is 59 degrees, we can substitute that in and simplify:

angle XWY + 59 + angle YWZ = 180

Next, we know that angle XWY is equal to angle YWZ, since they both intercept the same arc. So we can substitute (7x + 34) for both angles:

2(7x + 34) + 59 = 180

Simplifying:

14x + 68 + 59 = 180

14x + 127 = 180

14x = 53

x = 3.8 (rounded to the nearest tenth)

Therefore, x = 3.8 degrees.

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