Which expression has a value less than 1? A. 3/4 x 4/3 B. 3/4 x 6/3 C. 3/4 x 4/4 D. 3/4 x 8/4

The missing information for parts 4 and 5 will be the definition of midpoint and AH ≅ AH respectively.

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that, ΔMAT is isosceles and point H is the midpoint of the MT.

The statement with their valid reasons is explained below,

As we know that in an isosceles triangle two sides are the same.As a result,

MA = TA

As H is the midpoint of the MT.

MH=TH

From the reflex property of congruence, AH≅AH

Thus, the missing information for parts 4 and 5 will be the definition of midpoint and AH ≅ AH respectively.

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Answer: 20inch

Step-by-step explanation:

Using the Pythagoras theorem:-

25^2 = 15^2 + x^2    where x = the width of the screen.

625 = 225 + x^2

x = √(625 - 225) = √400

= =  20 ins

Answer:

C

Step-by-step explanation:

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer:

(a) 0.4 or 40%

(b) 0.1 or 10%

Step-by-step explanation:

(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:

\(p=\frac{4}{10}\\ p=0.4\)

(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:

\(p=\frac{2}{20}\\ p=0.1\)

The linear equation of the given line on the graph is y = -1/2 + 5

A linear equation is an algebraic equation of the form y=mx+b.

where m is the slope and b is the y-intercept.

We have a graph.

We can see that the graph has two points:

(0, 5) = (a, b) and (4, 3) = (c, d)

The slope m is given by:

m = (d - b) / (c - a)

m = -2 / 4

m = -1/2 ,b = y-intercept

The y-intercept is at y = 5

b = 5

The linear equation is: y = mx + b

y = (-1/2) + 5

y = -1.2 + 5

Thus the linear equation of the given line on the graph is

y = -1/2 + 5

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Answer:

4 and -6 hope it helped

Step-by-step explanation:

Answer:

C. Is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation

radius=diameter/2

=16/2

=8 ft

area of circle=πr^2

=π*8^2

=π64 ft^2

Answer:

The area of the circle is 64π^2

Explanation:

the diameter is 16, so you divided it by 2 to get the radius, which is 8. The equation that is used to solve for area of circle is A = πr^2. So the equation that I used was A = π8^2.

Answer:

x=5

Step-by-step explanation:

The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Answer:

57 Students........................

Answer:

Step-by-step explanation:

it is 2x

23. The value for x in triangle is 11.14

24. The value for x in the triangle is 18.3

25. The value for x = 30.4

27 The value for x = 63.413 degrees

23

Cos θ= adj/ hyp

cos 42= x/15

x = 15 cos 42

x = 11.14

24

tan θ= opp/ adj

tan 31= 11/ x

x(tan 31)= 11

x = 11/tan 31

x = 18.3

25

cos θ= adj/ hyp

cos 18= 29/x

x(cos 18) = 29

x = 29/ cos 18

x = 30.4

27

sin x = opp/ hyp

sin x = 17/19

sin x = 0.8947

x = 63.413 degrees

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No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

You need to use a nested for loop. Use the range() builtin to produce an iterable sequence. The outer for loop should iterate over the number of rows.

Step-by-step explanation:

Use the range() builtin to produce an iterable sequence. The outer for loop should iterate over the number of rows overtime.

Answer: (7.5, 4.5)

Step-by-step explanation:

To find the midpoint, we can just find the average of the x values and the y values.

x=(10+5)/2=15/2=7.5

y=(5+4)/2=9/2=4.5

The most appropriate choice for remainder theorem will be given by-

Quotient = \(-x^3-2\)

Remainder = -3

What is remainder theorem?

When f(x) is divided by (x-a), the remainder will be f(a).

If the remainder is zero, (x-a) will become a factor of f(x)

Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.

There is also a well known formula

Divisor x Quotient + Remainder = Dividend

Here,

P(x) = \(-x^4 +3x^3 -2x+3\)

P(3) =  \(-(3)^4+3(3)^3-2(3)+3\)

      = \(\\-81+81-6+3\)

      = -3

So by Remainder theorem, remainder is P(3)

So, Remainder = -3

Let the quotient be q(x)

divisor = \(x - 3\)

We know,

Divisor x Quotient + Remainder = Dividend

\((x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2\)

So, Quotient = \(-x^3-2\)

Remainder = -3

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Answer:

Step-by-step explanation:

3(x-4)=5         use distributive property

3x-12=5         add 12 to both sides

3x=17             isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

\(\huge\text{Hey there!}\)

\(\mathsf{3(x- 4) = 5}\)

\(\large\textsf{DISTRIBUTE 3 within your parentheses}\)

\(\mathsf{3(x) + 3(-4) = 5}\)

\(\mathsf{3(x) = \bf 3x}\)

\(\mathsf{3(-4)=\bf -12}\)

\(\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}\)

\(\mathsf{3x - 12 = 5}\)

\(\large\textsf{ADD 12 to BOTH SIDES}\)

\(\mathsf{3x - 12 + 12 = 5+12}\)

\(\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}\)

\(\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}\)

\(\mathsf{5+12=\bf 17}\)

\(\large\text{NEW EQUATION: \textsf{3x = 17}}\)

\(\mathsf{3x = 17}\)

\(\large\textsf{DIVIDE 3 to BOTH SIDES}\)

\(\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}\)

\(\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}\)

\(\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}\)

\(\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

30%

Step-by-step explanation:

Purchases:

Coat £20

Hat £15

Gloves for £5

Total amount of purchases: £20 + £15 + £5 = £40

Sales:

Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30

Hat: £18

Gloves at a 20% loss: 80% of £5 = £4

Total amount of sales: £30 + £18 + £4 = £52

Amount of profit: £52 - £40 = £12

Percent of profit: £12 / £40 × 100% = 30%

Answer:

exabit for about 51 min

Step-by-step explanation:

COMMET IF I BE WRONG

Answer:

6 1/2×60=390 390÷5=78

Step-by-step explanation:

They will have an hour and 18 minutes per each water ride.

Out of 180, the number of times, Tamara expects the sum of the two cubes to be equal to 8 if she rolls the two number cubes 180 ​times is 25.

What is the probability?

Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?

Given:

Tamara finds the sum of two number cubes rolled at the same time.

The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes.

The sum of 8 can be written as 5 possible combinations.

So, The number of times, Tamara expects the sum of the two cubes to be equal to 8 if she rolls the two number cubes 180 ​times is,

= 6/36 x 180

= 25

Therefore, 25 is the required value.

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The mean hip measurement for the random sample of 15 pairs of women's size 14 jeans is 42.07 in. The margin of error for Mallorie's confidence interval is 0.43 in. The correct interpretation of Mallorie's confidence interval is "There is a 90% chance that the mean hip measurement of size 14 jeans falls between 41.63 in and 42.65 in".

Given that a large study of women's size 12 jeans revealed that the mean hip measurment was 40.9 in with a standard deviation of 1.2 in.

Mallorie selects a simple random sample of 15 pairs of women's size 14 jeans and records the hip measurements.

Mean of hip measurement for a random sample of 15 pairs of women's size 14 jeans = 42.07 in

Margin of error for Mallorie's confidence interval = 1.645 x (1.2 / sqrt(15)) = 0.43 in

Confidence interval = (42.07 - 0.43, 42.07 + 0.43) = (41.64, 42.50)

The correct interpretation of Mallorie's confidence interval is "There is a 90% chance that the mean hip measurement of size 14 jeans falls between 41.63 in and 42.65 in".

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The probability of hitting the white portion of the target is closer to 1.

Given target shape:

```
----
|    |
|  o |
|    |
----
```

Part A:
The probability of hitting the black circle inside the target is closer to 0.
Area of the black circle = πr² = π(5)² = 25π square units.
Area of the square target = s² = 11² = 121 square units.
Area of the white part of the target = 121 - 25π.
The probability of hitting the black circle = (area of the black circle) / (area of the square target) = (25π) / 121.
Now, (25π) / 121 ≈ 0.65.
Therefore, the probability of hitting the black circle is closer to 0.
Part B:
The probability of hitting the white portion of the target is closer to 1.
The area of the white portion of the target = 121 - 25π.
The probability of hitting the white portion of the target = (area of the white portion) / (area of the square target) = (121 - 25π) / 121.
Now, (121 - 25π) / 121 ≈ 0.20.
the probability of hitting the white portion of the target is closer to 1.

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-4 is an extraneous solution.

The equation is

\((x - 2)^{1/2}\) - \((28-2x^{1/4}\) = 0

To know whether the given equation has an extraneous solution or not we need to find the value of x.

\((x-2^{1/2}\)= \((28-2x)^{1/4}\)

Multiply both sides with the power of 4, and we get

\((x- 2)^{2}\) = 28-2x

\(x^{2}\) - 4x + 4 = 28-2x

\(x^{2}\) - 2x - 24= 0

\(x^{2}\)- 6x + 4x -24=0

x(x-6) +4(x-6)=0

(x-6)(x+4) = 0

x = 6 , -4

Now put both the value of x in the equation

x=6

\((6-2)^{1/2}\)-\((28- 2* 6)^{1/4}\)= 0

\(4^{1/2}\)- \(16^{1/4}\)= 0

2-2=0

0=0

Now

x = -4

\((-4-2)^{1/2}\)-\((28-2*-4)^{1/4}\)=0

\((-6)^{1/2}\) -\(36^{1/4}\)=0

\((-6)^{2}\) - \(6^{1/2}\)=0

Which is not possible and a negative integer is not present in the square root.

Therefore we get the extraneous solution of the equation which is x= -4, and x = 6 is the solution of the equation.

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Different lampshades that could be used together are A) 5.

How to determine the value of any factorial value?
The factorial function (symbol:!) instructs us to multiply all whole numbers starting at the number we have chosen down to one.

Examples:

4! = 4 × 3 × 2 × 1 = 24

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

according to the question,  five lamp bases and four lampshades that could be used together. so the calculation will be 5C4

using factorial,

Hence, 5 different arrangements of base and shade can be offered together. (using factorial)

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Answer:

yes

Step-by-step explanation:

because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.

Answer:

P=-1

Step-by-step explanation:

Standard form equation of given circle.

The standard form of the equation of a circle is (x - h)² + (y - k)²= r², where (h,k) is the center of the circle and r is the radius. To find the standard form of the equation of the circle in the graph, we need to first determine its center and radius.

We can see that the center of the circle is (-3,1) and its radius is the square root of 2. Using this information, we can plug these values into the standard form equation and simplify to get (x + 3)² + (y - 1)² = 2 as the standard form of the equation of the circle.

This means that any point (x,y) that satisfies this equation will lie on the circle with center (-3,1) and radius square root of 2.

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Answer:

The answer is "\(f(x) = 3(1.05)x + 2\)".

Step-by-step explanation:

She starts off with 3 hours with pop music.

Next month, she will have 3 hours she has had and + 3*0.05.

3hrs + 3*0.05hrs = 3*1.05 hrs

We add 2 hours of classical music to the 3 * 1.05 hours to achieve 3 * (1.05) hours + 2 hours of classical music.

Answer: f(x):2(0.05)^x+3