Two sides of a triangle my 8 Ickes and 10 inches , respectively. Which one these is NOT a possible length for the third Sid elf a triangle please show ur work Bc I have too


A) 12 inches

B) 16 inches

C) 17inched

D)18 inches

Answers

Answer 1

18 inches is not a possible length for the third side of a triangle

What is the triangle inequality theorem?

The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than or equal to the length of the remaining side.

By triangle inequality theorem:

This theorem states that the sum of any two sides of a triangle must be greater than the third side.

As per the statement:

A triangle has two sides of lengths 8 inches and 10 inches.

Let the third side be x.

The Sum of the two sides is:

8 + 10 = 18

By triangle inequality theorem:

18 > x

or

x < 18

⇒ the length of the third side must be less than 18

From the given options:

Length of third sides 12, 16, and 17 which are less than 18.

the value which could the length of the third side be are: 12, 16, and 17.

Hence, 18 inches is not a possible length for the third side of a triangle

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Related Questions

who owns a harley? harley-davidson motorcycles make up 14% of all the motorcycles registered in the united states. you plan to interview an srs of 500 motorcycle owners. how likely is your sample to contain 20% or more who own harleys? follow the four-step process.

Answers

The probability of 20% or more of the sample owning Harleys is 0.95. It is likely that your sample will contain 20% or more who own Harleys.

1. First, calculate the mean number of Harley owners in your sample using the 14% rate of Harley ownership among all motorcycle owners in the US:

14% * 500 motorcycle owners = 70 Harley owners

2. Next, calculate the standard deviation of the number of Harley owners in your sample using the 14% rate of Harley ownership:

√(14% * 86% * 500) = 28 Harley owners

3. Calculate the number of standard deviations that 20% (100 Harley owners) is from the mean of 70 Harley owners:

(100-70)/28 = 1.79 standard deviations

4. Using a standard normal distribution table, we find that the probability of obtaining 1.79 standard deviations or more from the mean is about 0.9643. Therefore, it is likely that your sample will contain 20% or more who own Harleys.

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the number of miles mario can drive varies directly with the amount of gas that he has. he can drive 18 miles on ½ a gallon of gas. how many miles can mario drive with 9 gallons of gas?

Answers

Answer: 324 miles

Reason:
18miles in 1/2 a gallon
Because they vary directly whatever you do to one number you must do to the other.
So,
You need to multiply 1/2 a gallon by (x18) so you get 9 gallons.
And you must multiply 18 by (x18) as well as they are directly proportional, which is =324.

A vertical number line is given. A vertical number line starting at negative 9 with tick marks every one-half unit up to 2. The value negative 5.5 is labeled. The change in the value of a stock was plotted on a number line in the image. If 0 represents the original cost, which of the following is true about the plotted value? The stock is −5.5 less than the original value, and the absolute value is 5.5. The stock is 5.5 less than the original value, and the absolute value is 5.5. The stock is −5.5 greater than the original value, and the absolute value is 5.5. The stock is 5.5 greater than the original value, and the absolute value is 5.5.

Answers

The correct statement about the plotted value on the number line is given as follows:

The stock is 5.5 less than the original value, and the absolute value is 5.5.

How to interpret the number line and the value plotted?

The value plotted on the number line is given as follows:

-5.5.

The fact that the value is negative means that the stock is now less than the original amount, and the amount that it is less is the absolute value of the number plotted.

The absolute value of a number is represented by the number without the signal, hence the absolute value of -5.5 is given as follows:

|-5.5| = 5.5.

(just removed the negative symbol).

Hence the second statement is correct about the interpretation of the number line in this problem.

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Subtract 5x²+2x-11 from 3x²+8x-7. Express the result as a trinomial

Answers

Answer:

[tex] \sf \: -2x² + 6x + 4 [/tex]

Step-by-step explanation:

Given problem,

→ (3x² + 8x - 7) - (5x² + 2x - 11)

Let's solve the problem,

→ (3x² + 8x - 7) - (5x² + 2x - 11)

→ 3x² + 8x - 7 - 5x² - 2x + 11

→ (3x² - 5x²) + (8x - 2x) + (-7 + 11)

→ (3 - 5)x² + (8 - 2)x + 4

→ -2x² + 6x + 4

Hence, answer is -2x² + 6x + 4.

Joeph drove 27 mile in 1 1/3 hour. If he drove at a contant rate, how far did he travel in one hour?

Answers

The number of miles Joseph traveled in one hour is calculated to be 20.25 miles

Since Joseph drove 27 miles in 1 1/3 hours, we first convert 1 1/3 into simpler form as follows;

1 1/3 hours = 4/3 hours

Now we can determine how far he traveled in one hour if he drove at a constant rate by cross multiplication as follows;

4/3 hours = 27 miles

1 hour = x

Here x represents the number of miles traveled in one hour;

1 × 27 = 4/3x

27 = 4/3x

x = 27/(4/3)

x = 27 × 3/4

x = 20.25 miles

Hence Joseph travels 20.25 miles in one hour.

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1. What does the exponent 1/5 mean in the expression 64 1/5?

Answers

The exponent 1/5 meaning in the expression 64 1/5 is that a number that can be multiplied 5 times that will give 64.

How to illustrate the exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4

It should be noted that the exponent 1/5 meaning in the expression 64 1/5 is that a number that can be multiplied 5 times that will give 64.

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6
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation with the correct solution.
2 = 15
H=
7/3
x =
x=8
8
x= -15
H=
4(3x + 5) - 3
1
7/3
= 9x
7
5(z + 7)-3(2-4)= 7x + 2
(529) = 2 ( + 6)
x = -9
x = 9
100

Answers

a. The solution to the equation 1/3(5x - 9) = 2(1/3x + 6) is x = 15.

b. The solution to the 4(3x + 5) - 3 = 9x - 7 is x = -8.

c. The solution to the equation 5(x + 7) - 3(x - 4) = 7x + 2 is 9

How to calculate the equation?

a. Give the equation 1/3(5x - 9) = 2(1/3x + 6)

We want to find the value of x

5/3x - 3 = 2/3x + 13

x - 3 = 12

Collect the like terms

x = 12 + 3

x = 15

b. 4(3x + 5) - 3 = 9x - 7

12x + 20 - 3 = 9x - 7

Collect the like terms

3x + 17 = -7

3x = -24

Divide

x = -24 / 3

x = -8

c. 5(x + 7) - 3(x - 4) = 7x + 2

5x + 35 - 3x + 12 = 7x + 2

2x + 47 = 7x + 2

Collect the like terms

5x = 45.

Divide.

x = 45 / 5

x = 9

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The weight for newborn babie i approximately normally ditributed with a mean of 6. 6 pound and a tandard deviation of 1. 2 pound. Conider a group of 900 newborn babie:

1. How many would you expect to weigh between 3 and 8 pound?

2. How many would you expect to weigh le than 7 pound?

3. How many would you expect to weigh more than 6 pound?

4. How many would you expect to weigh between 6. 6 and 9 pound?

Answers

Approximately 795 newborn babies (88.3% of the 900 newborn babies) would be expected to weigh less than 7 pounds.

1. Approximately 728 newborn babies (81.3% of the 900 newborn babies) would be expected to weigh between 3 and 8 pounds.

2. Approximately 795 newborn babies (88.3% of the 900 newborn babies) would be expected to weigh less than 7 pounds.

3. Approximately 450 newborn babies (50% of the 900 newborn babies) would be expected to weigh more than 6 pounds.

4. Approximately 645 newborn babies (71.7% of the 900 newborn babies) would be expected to weigh between 6.6 and 9 pounds.

• Between 3 and 8 pounds: 0.6826*900 = 613.4 + 0.95*900 = 814.5 = 728

• Less than 7 pounds: 0.9545*900 = 859.05 = 795

• More than 6 pounds: 0.5*900 = 450

• Between 6.6 and 9 pounds: 0.6826*900 = 613.4 + 0.3413*900 = 306.17 = 64

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what function lets you test if something is true or false and then do different things depending on which result you get? (include the

Answers

The function is called an if/else statement function lets you test if something is true or false and then do different things depending on which result you get.

An if/else statement is a type of control flow statement that allows a program to execute different instructions depending on the result of a logical expression. The statement begins with an if condition, followed by a set of instructions to be performed if the condition is true. If the condition is false, the program executes the instructions after the optional else statement. The syntax for an if/else statement looks like this: if (condition) { // Instructions to execute if condition is true } else { // Instructions to execute if condition is false } By using an if/else statement, a program can make decisions and perform different actions based on the results of a logical expression.

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Is this a function or not a function?

Answers

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

it took samantha 6 years to double the money in her account. what interest rate was samantha receiving on her account?

Answers

Samantha was receiving an interest rate of 12% on her account.

What is Present value ?

Present value is the present value of future cash flows discounted at a certain rate. Present value is based on the concept of the time value of money, where a dollar today is worth more than a dollar in the future.

PV = FV /(1 + r )ⁿ

Information provided to us ,

time period , n = 6 years

let " $x " be the present value of Samantha's account money.

After 6 years it becomes double that is

future value, F = $2x

let "r" be rate of interest was Samantha receiving on her account.

plugging all known values in above formula,

$x = $2x /(1+r)⁶

=> (1+r)^6 = 2

=> 1 + r = (2)^1/6 = 1.122

=> r = 1.122 - 1 = 0.122

=> r = 12%

So, rate of interest is 12% .

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The catter plot how the number of people at a fair baed on the outide temperature. How many fewer people would be predicted to be at the fair on a 100 f day then on a 75 f

Answers

The difference between the two numbers is the number of fewer people that would be predicted to be at the fair on a 100°F day than on a 75°F day.The answer will depend on the specific data from the catter plot.

1. Look at the catter plot and identify the points that correspond to the temperatures of 75°F and 100°F.

2. Note the number of people at the fair for each temperature.

3. Subtract the number of people at the fair in the 75°F point from the number of people at the fair in the 100°F point.

The difference between the two numbers is the number of fewer people that would be predicted to be at the fair on a 100°F day than on a 75°F day.

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Solve for X.

A. 8 degree
B. 5 degree
C. 7 degree
D. 6 degree

Please help quickly!!!

Answers

Answer:

c

Step-by-step explanation:

If
m

=
21
6

m
UPE

=216

and
m

=
5
8

m
LS

=58

, find
m

L
B
S
m∠LBS.

Answers

Answer:

use the way I told u down

Step-by-step explanation:

Angle ABC is a straight angle.

Angles ABD and DBC are right angles.

Angles CBE and DBE are acute angles.

Angle ABE is an obtuse angle.

Angles

The sum of the three angles in any triangle is always 180°.

a + b + c = 180°

Knowing that the sum of the angles of triangle is 180° can help you to solve problems about triangles.

Angles

In this triangle, angle b is a right angle and angle c = 40°. What is the measure of angle a?

a + b + c = 180°

Since b is a right angle, b = 90°.

The problem states that c = 40°.

Therefore, a + 90° + 40° = 180°

a + 130° = 180°

a + 130° − 130° = 180° − 130°

a = 50°

Angle a measures 50°.

Angles

Click on the figure that matches this description.

An obtuse angle

Question 1 of 8

This is an acute angle. It measures less than 90°. Try again

This is a right angle. The square in the corner shows that it measures 90°. Try again

This is a straight angle. It measures 180°. Try again.

This angle is obtuse. It is greater than 90° and less than 180°.

One of these figures is an obtuse angle. Try again.

An obtuse angle is larger then a right angle and smaller then a straight angle.

Angles

Click on the figure that matches this description.

An acute angle

Question 2 of 8

This is an acute angle. It measures less than 90°.

This is a right angle. The square in the corner shows that it measures 90°. Try again

This is a straight angle. It measures 180°. Try again.

This angle is obtuse. It is greater than 90° and less than 180°. Try again.

One of these figures is an acute angle. Try again.

An acute angle is smaller then a right angle.

Angles

Click on the figure that matches this description.

A right angle

Question 3 of 8

This is an acute angle. It measures less than 90°. Try again

This is a straight angle. It measures 180°. Try again.

This angle is an obtuse angle. It measures more than 90° and less than 180°. Try again.

This is an acute angle. It measures less than 90°. Try again.

A right angle looks like a square corner and measures 90°.

A right angle measures 90°.

Angles

There are five question remaining. In each of these question, you will be asked to find the size of a missing angle.

Angles

Click on the correct answer.

Angle ABC is a right angle. If angle n is 40°, how large is angle m?

50°

140°

90°

60°

None of these

Question 4 of 8

90° − 40° = 50°

Angle m is 50°.

Angle ABC is 90° , and angle m is only part of this right angle. It is less than 90°. Try again.

Angle ABC is 90°, and angle m is only part of this right angle. Try again.

Angle m and n together from a 90° angle. Subtract 40° from 90° .Try again.

One of these is size of angle m. Try again.

Since angle ABC is a straight angle, angle m + angle n = 90°.

Find the value of x for {(-2/5)^2}^x*(-5/2)^-1=-8/125

Answers

Answer: x=1

Step-by-step explanation:

[tex][(-\frac{2}{5})^2] ^x*(-\frac{5}{2}) ^{-1}=-\frac{8}{125} \\\\(-\frac{2}{5})^{2*x}*(-\frac{2}{5})^1 =-\frac{2^3}{5^3} \\\\(-\frac{2}{5} )^{2x+1}=(-\frac{2}{5})^3 \\\\Hence,\\\\2x+1=3\\\\2x+1-1=3-1\\\\2x=2[/tex]

Divide both parts of the equation by 2:

[tex]x=1[/tex]

ella purchased a new car in 2000 for $27,600. the value of the car has been depreciating exponentially at a constant rate. if the value of the car was $8,300 in the year 2004, then what would be the predicted value of the car in the year 2009, to the nearest dollar?

Answers

The predicted value of the car in 2009, to the nearest dollar, is $14,800.

The value of an exponentially depreciating asset can be calculated using the equation:

V = V_0 × [tex]e^{(-r*t)}[/tex]

where V is the current value of the asset, V_0 is the initial value of the asset, r is the rate of depreciation, and t is the time elapsed since the asset was purchased.

In this case, the initial value of the car was $27,600, the value in 2004 was $8,300, and the time elapsed since the car was purchased is 4 years.

To determine the predicted value of the car in 2009, we can set t equal to 9 years and solve for V:

V = 27,600 × [tex]e^{(-r*9)}[/tex] = 8,300

Solving for r gives us:

r = ln(8,300/27,600) / -9

= -0.069

To determine the predicted value of the car in 2009, we can plug the value for r into the equation and solve for V:

V = 27,600 × [tex]e^{(-0.069*9)}[/tex] = 14,800

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Hi please help , you don't need to show work. ​

Answers

The value of function (f+g)(x) is x²-3x+7, (f-g)(x) is 3x²-3x+7, (fg)(x) is -2x⁴+3x³-7x² and (f/g)(x) is -2x²+3x-7/x²

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given two functions are

f(x)=3x-2 and g(x)=4+x

at x=-1

f(-1)=-5, g(-1)=3

at x=2,

f(2)=4, g(2)=6

at x=5,

f(5)=13, g(5)=9

Now the functions are f(x)=2x²-3x+7  and g(x)=-x².

We need to find (f+g)(x)

f(x)+g(x)

2x²-3x+7-x².

x²-3x+7

(f-g)(x)

f(x)-g(x)

2x²-3x+7+x²

3x²-3x+7

(fg)(x)

(2x²-3x+7)(-x²)

-2x⁴+3x³-7x²

f/g(x)=-2x²+3x-7/x²

Hence, the functions (f+g)(x)=x²-3x+7, (f-g)(x)=3x²-3x+7, (fg)(x)=-2x⁴+3x³-7x² and (f/g)(x)=-2x²+3x-7/x²

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Dilate the line segment by a scale factor of 2 with a center of dilation at the origin. Draw the dilated segment on the provided graph.
Click on a fool to begin drawing.
Drawing Tools
Select
Point
Une Segment
16-
14--
12-
10-
8-
Delote
10
12
Undo
14
16
Reset

Answers

The graph with the dilated line segment is given by the image shown at the end of the answer.

What is a dilation?

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure, thus a dilation is classified as a non-rigid transformation.

The endpoints of the line segment in this problem are given as follows:

(0,0) and (5,5).

The scale factor of the dilation is given as follows:

k = 2.

Then the endpoints of the dilated line segment will be obtained multiplying each of the coordinates of each of the endpoints by the scale factor of 2, as follows:

(0,0) and (10,10).

Then the dilated line segment, connecting the endpoints (0,0) and (10,10), is given by the image shown at the end of the answer.

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Draw a line l, and take two point A and B on it. Through A and B, draw line L2 and L3 perpendicular to L1. On L2, mark a point C at a ditance 4cm from L1 and draw a line L4 parrallel to L1 through C. If L4 interect L3 at D , what type of quadrilateral i ABDC? ​

Answers

ABDC is a quadrilateral with two non-parallel sides. It has two pairs of opposite sides which are parallel. It is also known as a trapezoid.

ABDC is a four-sided figure with two pairs of opposite sides that are parallel. This type of quadrilateral is also known as a trapezoid. A trapezoid has two non-parallel sides, while the other two sides are parallel to each other. In this case, the two parallel lines are L1 and L4, while L2 and L3 are the two non-parallel sides. We can see that the point C on L2 is a distance of 4cm from L1, and L4 is a line that is parallel to L1 and passes through C. Finally, L4 intersects L3 at the point D, which completes the trapezoid ABDC.

The length of AB can be determined by using the Pythagorean Theorem. We know that the length of L1 is 8 cm, so the length of AB is 3 cm.

example

AB = √(8^2 - 4^2) = √64 - 16 = √48 = 6 cm

The length of BD can also be determined by using the Pythagorean Theorem. We know that the length of L2 is 4 cm, so the length of BD is 3 cm.

BD = √(4^2 - 4^2) = √16 - 16 = 0 cm

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Given the two rectangles below. Find the area of the shaded region.
3

7
5
2

Answers

The area of the shaded region in the rectangle is given as follows:

42 units squared.

How to calculate the area of a rectangle?

The area of a rectangle of base b and height h is given by the multiplication of these dimensions, as follows:

Area = base x height.

For the shaded region in this problem, given by the image shown at the end of the answer, the area can be obtained as the subtraction of the area of the entire rectangle by the area of the non-shaded region.

The entire rectangle has base 11 and height 12, hence it's area is given as follows:

Ar = 11 x 12 = 132 units².

The non-shaded region has base of 9 units and height of 10 units, hence it's area is given as follows:

An = 9 x 10 = 90 units².

Then the area of the shaded region on the rectangle is calculated as follows:

As = Ar - An = 132 - 90 = 42 units².

Missing Information

The rectangle is given by the image shown at the end of the answer.

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Claire buy a pair of earring for $4, a necklace for $10, and a ring for $7. She ha a 30% off coupon for her whole tranaction. What i her total if the ale tax i 6. 35%?

Answers

If the sales tax is 6. 35% then Claire's total is $15.63

In this questiion we have been given Claire buys a pair of earrings for $4, a necklace for $10, and a ring for $7.

So, her total purchase is:

4 + 10 + 7 = 21 dollars

She has a 30% off coupon for her whole transaction.

We find the 30 percent of 21

(30/100) * 21 = 6.3 dollars

So, she will get discount of 6.3 dollars.

So, the amount would be,

21 - 6.3 = $14.7

The sales tax is 6. 35%

Now we find 6.35 percent of 14.7

6.35% of 14.7

= 0.0635 × 14.7

= 0.933

So, the total purchase amount would be,

$14.7 + $0.933 = $15.63

Therefore, the total is $15.63

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Simplify this expression
Distribute first in the box below
2 (3x − 6) (2x + 1)

Answers

Answer: [tex]12x^{2} -18x-12[/tex]

Step-by-step explanation:

(6x-12)(2x+1)

Foil method

6x*2x

6x*1

-12*2x

-12*1

add them up

[tex]12x^{2} -18x-12[/tex]

PLEASE HELP FAST WILL BE BRAINLIEST

Answers

Answer:

See below

Step-by-step explanation:

5z/(z-2) = - 1/z

1)  z [tex]\neq[/tex] 2  the expression (z-2) in 5z/(z-2) would be 0, leaving 5/0.  Division by 0 is undefined.

2)  Similiarly, the expression - (1/z) requires that z [tex]\neq[/tex] 0, since division by 0 is not allowed (undefined).

Please help mee I will give brainlyest

Answers

Answer:

Step-by-step explanation:

answer is A. n is parallel to both l and m

The answer is option a

In ΔPQR, r = 38 cm, ∠P=49° and ∠Q=127°. Find the length of p, to the nearest centimeter.

Answers

Here you go! Hope this helps!

The length of p is 411 cm.

What is a Triangle?

Every three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given a triangle, and we know 2 angles of the triangle and one side.

In ΔPQR:

r = 38 cm

∠P = 49°

∠Q = 127°

From the angle sum property for a triangle:

∠P + ∠Q + ∠R = 180°

49° + 127° + ∠R = 180°

∠R = 180° - 176°

∠R = 4°

By using the sine rule in a triangle:

sin(∠P)/p = sin(∠R)/r

p = [sin(∠P)/sin(∠R)] × r

p = [sin(49°)/sin(4°)] × 38

p = 411 cm

The length of p is 411 cm.

Hence, the length of p is 411 cm.

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please help i dont know the answer

Answers

Answer:

Step-by-step explanation:

do your work ok you go it  and who still do ixl

Martin climbs 3 meters in the first 10 minutes How many meters does Martin climb in 60 minutes? Hint: Either multiply 3 by 6 or set up this proportion and solve for x 3/10 = x/60​

Answers

The distance Martin climbs in 60 minutes is 18 meters

Calculating Distance climbed

From the question, we are to determine how many meters Martin can climb in 60 minutes

Let the distance he climbs in 60 minutes be x

From the given information,

Martin climbs 3 meters in the first 10 minutes

If Martin climbs 3 meters in 10 minutes

Then,

Martin will climb x meters in 60 minutes

Thus,

x × 10 = 3 × 60

Solve for x

10x = 180

x = 180/10

x = 18

Hence, the distance is 18 meters

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with α = .05, what is the critical t value for a one-tailed test with n = 15?

Answers

With α = 0.05, 1.761 is the critical t value for a one-tailed test with n = 15 for a single-sample t-test.

Given that,

We have to find with α = 0.05, what is the critical t value for a one-tailed test with n = 15 for a single-sample t-test.

We know that,

α = 0.05

n = 15

One tailed t test for single sample.

We know from t-table

α = 0.05 (corresponding one -tail) and corresponding d.f = n - 1.

For sample t-test

d.f = 15 - 1 = 14

tα (0.05,14) for tail = 1.761       (from t-table)

Therefore, with α = 0.05, 1.761 is the critical t value for a one-tailed test with n = 15 for a single-sample t-test.

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Problem-solving
a How many codes can Eddie create using
Eddie needs to choose a 6-digit code for his computer password.
i 6 numbers
ii 4 numbers followed by 2 letters
iii 1 number followed by 5 letters?
Eddie decides that he does not want to repeat a digit or a letter.
b How many ways are possible in parts i to iii now?

Answers

Answer:

a) i) 6 numbers = 10^6=1000000

ii) 4 numbers followed by 2 letters= 10^4*26^2=6760000

iii)1 number followed by 5 letters : 10^1*26^5= 118,813,760

b)...

a) If Eddie repeat a digit or a letter:

i) The number of codes he can create with 6 numbers is 1,000,000.

ii) The number of codes he can create with 4 numbers followed by 2 letters is 67,600.

iii) The number of codes he can create with 1 number followed by 5 letters is 11,881,376.

b) If Eddie does not want to repeat a digit or a letter:

i) The number of codes he can create with 6 numbers is 15,120.

ii) The number of codes he can create with 4 numbers followed by 2 letters is 1,092,000.

iii) The number of codes he can create with 1 number followed by 5 letters is 7,893,600.

a) To calculate the number of codes Eddie can create for each scenario:

i) For a 6-digit code using only numbers, each digit can take on any value from 0 to 9 (10 options for each digit). So, the total number of codes is 10⁶ = 1,000,000.

ii) For a code with 4 numbers followed by 2 letters, there are 10 options for each digit and 26 options for each letter (assuming only uppercase letters). The total number of codes is 10⁴ * 26² = 67,600.

iii) For a code with 1 number followed by 5 letters, there are 10 options for the number and 26 options for each letter. The total number of codes is 10 * 26⁵ = 11,881,376.

b) If Eddie decides not to repeat a digit or a letter, the number of possibilities changes for each scenario:

i) Since he cannot repeat a digit, the first digit can be any of the 10 options. The second digit has only 9 options left, the third digit has 8 options, and so on. So, the total number of codes becomes 10 * 9 * 8 * 7 * 6 * 5 = 15,120.

ii) In this case, he cannot repeat any digit or letter. So, for the 4 numbers, there are 10 options for the first, 9 options for the second, 8 options for the third, and 7 options for the fourth. For the 2 letters, there are 26 options for the first and 25 options for the second (since no repetition is allowed). The total number of codes becomes 10 * 9 * 8 * 7 * 26 * 25 = 1,092,000.

iii) For the code with 1 number and 5 letters, the number has 10 options, and the first letter has 26 options. However, he cannot repeat any letter after the first, so the second letter has 25 options, the third has 24 options, and so on. The total number of codes becomes 10 * 26 * 25 * 24 * 23 * 22 = 7,893,600.

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Find the value of x and show your work.
5x+10
7x-6​

Answers

im gussing you mean 5x+10=7x-6

if so

5x+10=7x-6

  -5x = -5x

     10=2x-6

     +6=+6

     16=2x

     /2=/2

      8=x

The value of x = 8

here, 5x+10 is the 1st Equation

and 7x-6 is the 2nd Equation

We have to form an equation

        5x+10=7x-6

To solve for x, we need to isolate it on one side of the equation. To do this, we need to use inverse operations.

put the variable term on one side and the numerical term on the other side of the equal to sign, and while doing this change the sign from

             plus with minus and vice versa

             multiply with divide and vice versa

5x+10=7x-6

5x-7x=10+6

2x=16

x=[tex]\frac{16}{2}[/tex]

x=8

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