4. What information do you need to classify quadrilateral EFGH as
a square?

Answer: 3^3 Square root 3

Step-by-step explanation:

Answer: >

Step-by-step explanation:

Answer:

≤ ≠

Step-by-step explanation:

-3 is less than 0

Answer:

m = 2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug our coordinates into the slope formula and solve for m:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

Answer:

Step-by-step explanation:

Let the points be A and B

A( 3 , 3 ) -----> ( x1 , y1 )

B(4 , 5 ) ------>( x2 , y2 )

Now,

finding the slope,

Slope =\( \frac{y2 - y1}{x2 - x1} \)

\( = \frac{5 - 3}{4 - 3} \)

\( = \frac{2}{1} \)

\( = 2\)

Hope this helps...

Good luck on your assignment..

The value of m+n is 37.

Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The range for probability varies from 0 to 1.

Let A signify the flipping of the head, and let B signify the flipping of the tail. The event ends when we get 5 heads or 2 tails while flipping.

Then, the outcomes are given by AAAAA, BAAAAA, BB, ABB, AABB, AAABB, AAAABB. The probability of getting a head is 1/2 and a tail is 1/2. The probability of the possible outcomes is 1/32, 1/64, 1/4, 1/8, 1/16, 1/32, and 1/64.

The outcomes with five heads are AAAAA and BAAAAA. The sum of the probabilities of getting 5 heads is,

\(\begin{aligned}\frac{1}{32}+\frac{1}{64}&=\frac{2+1}{64}\\&=\frac{3}{64}\end{aligned}\)

And, the sum of all the outcomes is, \(\begin{aligned}\frac{1}{32 }+ \frac{1}{64}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}&=\frac{2+1+16+8+4+2+1}{64}\\&=\frac{34}{64}\end{aligned}\)

Let p is the probability that a run of 5 heads will occur before a run of 2 tails. The desired probability p is,  

\(\begin{aligned}p&=\frac{\text{number of event}}{\text{total outcome}}\\&=\frac{\frac{3}{64}}{\frac{34}{64}}\\&=\frac{3}{34}\end{aligned}\)

Given, p is of the form m/n. So, m is 3 and n is 34. Then, m+n=3+34=37.

The answer is 37.

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Answer:you need to show the diagram in order for me to

Step-by-step explanation:

Answer:

\(b. \: \frac{1}{10} ......series\)

3.125007 in scientific notation would be written as 0.03125007 x 10^2.

To convert a number to scientific notation, you first determine the exponent to which 10 must be raised to make the number equal to or greater than 1 but less than 10.

In the case of 3.125007, you would multiply it by 10 and raise it to a power such that it becomes a number between 1 and 10.

In this case, you would multiply by 10 raised to the power of -2:

3.125007 * 10^-2 = 0.03125007

So, 3.125007 in scientific notation would be written as 0.03125007 x 10^2.

Note: It is not possible to raise 10 to zero, as 10 to the power of 0 is always equal to 1.

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The question in English is:

"How would you convert a number between 1 and 9,999... to scientific notation? For example, 3.125007. What is done in this case, is it possible to raise 10 to zero?"

Answer:

B

Step-by-step explanation:

The dimensions of the rectangular field are given as follows:

The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:

P = 2(l + w).

For this problem, the perimeter is of 582 yards, hence:

2(l + w) = 582

l + w = 291.

The length of the field is 4 yards less than quadruple the width, hence:

l = 4w - 4.

Then the width is obtained as follows:

4w - 4 + w = 295

5w = 295

w = 295/5

w = 59.

The length is obtained as follows:

l = 4 x 59 - 4

l = 232 yards.

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Answer:

3. 72.9%

Step-by-step explanation:

Let's call M the event that the customer is male and C the event that the customer prefer chocolate chips Scones.

So, the probability P(M∪C) that a customer chosen at random will be a male or prefer the Chocolate Chip Scones is calculated as:

P(M∪C) = P(M) + P(C) - P(M∩C)

Then, there are 145 males (317 customer - 172 females = 145 males), so the probability that the customer is a males is:

P(M) = 145/317 = 0.4574

There are 167 customers that prefer chocolate chips Scones ( 317 customers - 150 customers that prefer the Cranberry Walnut Scones = 167), so the probability that a customer prefer chocolate chips Scones is:

P(C) = 167/317 = 0.5268

Finally, 81 customers were males and prefer the Chocolate Chip Scones, so the probability that a customer will be a male and prefer chocolate  chip scones is:

P(M∩C) = 81/317 = 0.2555

Therefore,  P(M∪C) is equal to:

P(M∪C) = 0.4574 + 0.5268 - 0.2555

P(M∪C) = 0.7287

P(M∪C) = 72.9%

Answer:

3. 72.9%

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

Male or prefers the Chocolate Chip Scones. That is, males and females who prefer the Chocolate Chip Scones.

There are 172 female customers and 317-172 = 145 male customers.

150 customers prefer the Cranberry Walnut Scones. So 317 - 150 = 167 customers prefer the Chocolate Chip Scones.

81 of those are male, so 167 - 81 = 86 are female.

So the total of desired outcomes is 86 + 145 = 231

Total outcomes:

317 total customers.

Probability:

231/317 = 0.729

So the correct answer is:

3. 72.9%

Answer:

\(1.6*10^{-5}\)

Step-by-step explanation:

\(\displaystyle \frac{0.02^2*0.01}{0.5^2}\\\\=\frac{0.0004*0.01}{0.25}\\\\=\frac{0.000004}{0.25}\\\\=\frac{4*10^{-6}}{2.5*10^{-1}}\\\\=\frac{4}{2.5}*10^{-6-(-1)}\\\\=1.6*10^{-5}\)

Hope this helped!

The value of x can be any real number.

To find the value of x when the gradient of a line passes through points A(-3, -8) and H(x, -4), we can use the formula for calculating the gradient (slope) of a line:

Gradient = (change in y) / (change in x)

Given that the gradient is the same between points A and H, we can set up the following equation:

(-8 - (-4)) / (-3 - x) = (change in y) / (change in x)

Simplifying the equation, we have:

(-8 + 4) / (-3 - x) = (-4 - (-8)) / (x - (-3))

-4 / (-3 - x) = 4 / (x + 3)

To eliminate the fractions, we can cross-multiply:

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

Simplifying further, we have:

-4x - 12 = -12 - 4x

Rearranging the terms, we get:

-4x + 4x = -12 + 12

0 = 0

The equation simplifies to 0 = 0, which means that the value of x can be any real number. In other words, there are infinitely many possible values of x for which the gradient of the line passing through points A and H remains the same.

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Based on the student's work, the equation was solved incorrectly. B. The equation solved correctly would show that it has one solution(s).

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For instance, 2x - 5 = 13. Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign.

In correct solution of the equation is given as:

4(2 - 3x) = x - 2(2x + 1)

8 - 12x = x - 4x - 2

8 - 12x = -3x - 2

8 + 2 = 12x - 3x

10 = 9x

x = 10/9

Hence, based on the student's work, the equation was solved incorrectly.

The equation solved correctly would show that it has one solution(s).

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The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .

1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:

V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.

2) The height of the region is equal to  - (2x) =  -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:

V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).

3) The height of the region is equal to (2-x) -  = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:

V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).

4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:

V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)

The complete Question is:

Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the

1.  y = x, y = -x/2, and x = 2

2. y = 2x, y = x/2, and x = 1

3. y = x/2, y = 2-x, and x = 0

4. y = 2-x/2, y = x/2, and x = 0

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Answer:

-2.41: -2.14: -2.1: -11/8: 7/50

Answer:

true

Step-by-step explanation:

y=mx+b

and b=y intercept

Answer:

True

Step-by-step explanation:

9 is the  x intercept and -5 is the y intercept. y in the equation is the answer.

Answer:

cos(π/6)= radical 3 over 2 sin(π/6) = 1/2

Step-by-step explanation:

In the unit circle the coordinates of the point for the particular angle can be expressed by cos(x) for the x value and sin(x) for the y value. For π/6, the point's x value is radical 3 over 2 as expressed by cos(π/6) and the y value is 1/2 as expressed by sin(π/6)

The sum of the scores is equal to 160.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total number of scores (data set), we have;

∑x = 20 + 60 + 30 + 50

∑x = 160.

Mean = [F(x)]/n = 160/4 = 40.

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Answer:

1.

a) isosceles right triangle

b) scalene triangle

c) isosceles triangle

d) equilateral triangle

2. 53 degrees

3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

trhe answer is 11.50 because it's closest to 10

Answer:

17.9%

Step-by-step explanation:

11.50-9.75=1.75

1.75/9.75=0.1794

Answer:

D

Step-by-step explanation:

have a good day

Answer:

D) 7

Step-by-step explanation:

Since the two angles marked are corresponding, if \(p\) and \(q\) are parallel, they must be equal.

Therefore, we have:

\(14x+18=116,\\14x=98,\\x=\boxed{7}\)

Answer:

-3 < y ≤ 3

Step-by-step explanation:

...............

Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

$312

Step-by-step explanation:

10% of $600 is $60

So $60*4=$240

$600-$240=$360

1%=$6

So $6*8=$48

$360-$48=$312

The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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Answer:

Decreasing: y, infinity

Constant: y, negative infinity

Step-by-step explanation:

You just had it backwards, the interval for infinity is based on the x-axis not the y-axis. The decreasing portion is moving toward positive infinity on the x-axis because it's moving to the right. The constant is moving to the left so it is negative infinity.

√2500 evaluates to 50 because the number of ice cream cones cannot be negative.

Given that √2500 represents the number of ice cream cones an ice shop sells in one Saturday

Let's evaluate the square root:

√2500 = ± √2500

            = ± 50

            = 50 or -50

Thus, the number of ice creams cones = 50  

(Note: √2500 is -50 or 50 because (-50)² = 2500 and (50)² = 2500)

The number of ice cream cones is 50 because the number of ice cream cones cannot be negative.

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