University of Florida researchers in the Department of Materials Science and Engineering have invented a technique that rapidly detects traces of TNT (Today, Spring 2005). The method, which involves shining a laser on a potentially contaminated object, provides instantaneous results and gives no false positives. In this application, a false positive would occur if the laser detected traces of TNT when, in fact, no TNT were actually present on the object. Let A be the event that the laser light detects traces of TNT. Let B be the event that the object contains no traces of TNT. The probability of a false positive is 0.

Required:
Write this probability in terms of A and B using symbols such as U, ∩ and |.

Answer:

Area of the figure is 88 square inches

Diego has 3 times as many, so you would multiply the amount Han had by 3.

Han has 6, so Diego has 6 x 3 = 18 comic books

A. 18 comic books.

To find the number Han has using what Diego has you would divide Diego’s number by 3:

27/3 = 9

Han has 9 comic books

B. 9 comic books

Answer:

Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Answer:

y does not vary directly with x

Step-by-step explanation:

The equation for direct variation is

y = kx ← k is the constant of variation

If k is constant for all ordered pairs in the table then direct variation.

k = [tex]\frac{y}{x}[/tex]

(2, 10 ) → k = [tex]\frac{10}{2}[/tex] = 5

(4, 24 ) → k = [tex]\frac{24}{4}[/tex] = 6

(6, 36 ) → k = [tex]\frac{36}{6}[/tex] = 6

Since k is not constant for all pairs then y does not vary directly with x

Answer:

8.5

Step-by-step explanation:

slope of the line that contains KL

(y2 - y1)/(x2-x1)

(0-1)/(7-3)

m = -1/4

slope of the line that contains JK

(5-1)/(4-3)

m = 4

the linea are perpendicular so triangle is right

area = (leg1 x leg2)/2

KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]

KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]

area = (√17)^2/2 = 17/2 = 8.5

Answer:

20000000000000000000000000000

Answer:

B. 50

Step-by-step explanation:

5^2 +7*3 +4 = 25+21+4

                   = 25+25

                   = 50

[tex]5²+7·3+4[/tex]

[tex] {5}^{2} + 21 + 4[/tex]

[tex]25 + 25 = 50[/tex]

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]9x-13=23[/tex]

[tex]9x=23+13[/tex]

[tex]9x = 36[/tex]

[tex]x = \frac{36}{9} [/tex]

[tex]x = 4[/tex]

Answer:

X=4

Step-by-step explanation:

9x-13=23

9x=23+13

x=(23+13)/9

x=4

Answer:

B. Of the students who walk, the probability of choosing a female.

D. Of the females, the probability of choosing one who rides the bus.

Step-by-step explanation:

Conditional probability is the chance of something happening provided that something else has previously occured (think dependent events).

For example, the probability of getting into college P(college) is Event A.

The probability of receiving dormitory housing P(housing) is Event B.

First, the person must get into college before they are even able to receive dormitory housing. Therefore, this is a situation of conditional probability. The "condition" of being accepted into the college (Event A) is necessary before the individual can attempt Event B, housing.

The key word in the question is "Of all the students." This means that from the first instance, you are only calculating one probability.

However, in B, it first singles out "all the students who walk."

Therefore p(walk) must be met before p(gender) can happen.

Same with D, it singles out "of the females."

Therefore p(gender) must be met before p(transportation) can happen.

C does have two categories, but since it is still out of the general draw pool "of all students," it is not conditional. No condition needs to be met first to choose a male who walks out of ALL students.

Answer:

68%

Step-by-step explanation:

We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.

Answer:

just use a calculator and add all the numbers-

Step-by-step explanation:

add

Answer:

D) 180

Step-by-step explanation:

Formula for Surface area of Rectangular prism is

A = 2(lw+wh+lh)

A = 2(6*8 + 8*3 + 6*3)

A = 2(48 + 24 + 18)

A = 2 * 90

A = 180

Answer:

0.5 = 2

0.75 = 2

1.0 = 3

1.25 = 4

1.5 = 5

2.0 = 2

2.25 = 1

2.5 = 1

Answer:y=-4

Step-by-step explanation:

Answer:

mysterious

Step-by-step explanation:

None of the other words fit...plus you can use context clues.  It states in the sentence that cat behavior often disturbs and puzzles humans.  If something puzzles humans...then they likely don't understand it.  Mysterious would be the best choice.

Answer:

e. a civil right infringement lawsuit

Step-by-step explanation:

A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.

So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I took the quiz, I hope this helps!

Answer:

geometry

Step-by-step explanation:

left side of paper

Answer:

area=l*b

10*8

80#

Step-by-step explanation:

hope you like it

Answer:

It is increasing before x = -2 and from x = 0 to x = 2

Step-by-step explanation:

Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.

Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.

Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.

Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.

Answer:

Assuming the 2 at the ends are the exponents,

the answer is -x^2-5x+6 (x^2+5x-6)

from here, it cannot be simplified more

Explanation --

Just add everything by putting the terms in parentheses and adding them.

Keep simplifying by putting the like terms together and adding/subtracting them.

At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.

Hope this helps!! Have a nice day!

Answer:

(1/2)z

Step-by-step explanation:

Answer:

Lower bound for the length of the edge = 42.5 cm

Step-by-step explanation:

From the picture attached,

FH is the diagonal of square EFGH.

Therefore, length of diagonal FH = [tex]\sqrt{FG^2+HG^2}[/tex]

(By applying Pythagoras theorem)

In triangle AFH,

AH² = AF² + FH²

       = AF² + [tex](\sqrt{FG^2+HG^2})^2[/tex]

       = AF² + FG² + HG²

AH² = 3HG²

(11.3)² = 3(HG²)

HG = [tex]\sqrt{\frac{127.69}{3}}[/tex]

HG = 42.563 cm

For distance correct to the nearest mm, lower bound for the length of the edge = 42.5 cm

And upper bound for the length of the edge = 43.6 cm

The side lengths of a cu be are congruent, so the edge length of the cu be is 65 mm

The length of diagonal A H is given as:

[tex]\mathbf{AH = 11.3cm}[/tex]

Considering triangle A FH, we have:

[tex]\mathbf{AH^2 = A\ F^2 + FH^2}[/tex]

So, we have:

[tex]\mathbf{11.3^2 = A\ F^2 + FH^2}[/tex]

Considering triangle HE F, we have:

[tex]\mathbf{FH^2 = EF^2 + EH^2}[/tex]

Substitute [tex]\mathbf{FH^2 = EF^2 + EH^2}[/tex] in [tex]\mathbf{11.3^2 = A\ F^2 + FH^2}[/tex]

[tex]\mathbf{11.3^2 = A\ F^2 + EF^2 + EH^2}[/tex]

The side lengths of a cu be are congruent.

This means that: A F = EF = EH

So, we have:

[tex]\mathbf{11.3^2 = A\ F^2 + A\ F^2 + A\ F^2}[/tex]

Evaluate like terms

[tex]\mathbf{11.3^2 = 3A\ F^2}[/tex]

Evaluate squares

[tex]\mathbf{127.69 = 3A\ F^2}[/tex]

Divide both sides by 3

[tex]\mathbf{42.563= A\ F^2}[/tex]

Take square roots

[tex]\mathbf{6.52= A\ F}[/tex]

Rewrite as:

[tex]\mathbf{A\ F = 6.52cm}[/tex]

Convert to m m

[tex]\mathbf{A\ F = 6.52 \times 10mm}[/tex]

[tex]\mathbf{A\ F = 65.2\ mm}[/tex]

Approximate

[tex]\mathbf{A\ F = 65\ mm}[/tex]

Hence, the edge length is 65 mm

Read more about cu bes at:

https://brainly.com/question/23261883

Answer:

the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.

so

none of the above.

Answer:

d

Step-by-step explanation:

none of the above

Answer:

kilo =1*10^3 grams

nano=one millionth

micro=0.01 litres

centi=0.0000000001 meters

Step-by-step explanation:

Answer:

y = -3x + 7

Step-by-step explanation:

a line perpendicular to y=1/3x + 2 must have a slope of -3 (the opposite reciprocal)

we can use slope (m) of -3 and the point (2,1) to write the equation:

y = mx + b

1 = (-3)(2) + b

1 = -6 + b

b = 7

Putting it all together you get:

y = -3x + 7

Answer:

FALSE

TRUE

TRUE

Step-by-step explanation:

For median,

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785

So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25

For May apply same concept and you get median to be 2.25.

Median difference is 3.25-2.25 = 1

Therefore, statement 1 is false and statement 2 is true.

For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13

Apply same concept you for April and you get 2.38 as mean.

Mean difference is 3.13-2.38 = 0.75

Therefore, statement 3 is correct (true)