(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50

Answer:

[tex]\boxed{ x = 12}[/tex]

Step-by-step explanation:

Given Equation is:

[tex]\frac{-3}{2} (x) - 9 = -27[/tex]

Adding 9 to both sides

=> [tex]\frac{-3x}{2} = -27+9[/tex]

=> [tex]\frac{-3x}{2} = -18[/tex]

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

Answer:

Mode

Step-by-step explanation:

The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.

So lets a student builds unifix cube towers to represent the ages of the five children as following:

3 1 2 2 4

Now the student first places them in order from smallest to largest

1 2 2 3 4

Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:

2 2 3

Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:

2

The tower in the middle is remaining i.e. 2

So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.

Answer:

It would be changing by which a person thinks.

But, I will pick 569.124.

It would be 5.69124e2. (or 5.6912 x 10^3)

Answer:

569.124

Step-by-step explanation:

Answer:

1.47

Step-by-step explanation:

Use the multiplication method.

Answer:

Hello!

_______________________-

4.9 x 0.3 = 1.47

Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.

Hope this helped you!

Answer:

Amount the watch normally costs: w

Amount if the discount: 0.3w

Percent decrease of the discount, as a decimal: 0.3

Percent of the normal cost that Chad paid, as a decimal: 0.7

Answer:

[tex]-3 < x < 2[/tex]

Step-by-step explanation:

Given:

Range: -3 to 2

Required:

- Write the inequality

- Represent on a number line

Let the variable be represented by x

The question says -3 and 2 are exclusive of x;

This implies that, -3 is less than x [tex](i.e.\ -3 < x)[/tex] and at the same time x is less than 2 [tex](i.e.\ x < 2)[/tex]

Write out the two inequalities

[tex]-3 < x[/tex] and [tex]x < 2[/tex]

Combine both inequalities

[tex]-3 < x < 2[/tex]

See attachment for number line

Notice that the circle on -3 and 2 are opened

This implies that -3 and 2 are exclusive of the inequality;

Answer:

k Nishant

Step-by-step explanation:

there is no comman angle but their is common side that is AC

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Step 1: Parenthesis

6² - 5²

Step 2: Exponents

36 - 25

Step 3: Subtract

11

The dot is multiplication.

Answer:

11 is right, yes.

Step-by-step explanation:

The dot does mean multiplication. All you have to do is multiply 2*3 first, then do the powers, and you get 36-25, which is indeed 11.

Answer:

i) Area of the ring = 462cm²

ii) Perimeter of the ring = 132cm

A complete question related to this found at brainly (ID: 19152996) is stated below:

Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring (ii) The perimeter of Ring

Find attached the diagram.

Step-by-step explanation:

a= smaller radius = 7cm

b= bigger radius = 14cm

i) Area of the ring = Area of larger circle - Area of smaller circle

Area of circle = Area of a ring = πr²

π =22/7

Area of larger circle = (22/7)(14)² = 22×28

Area of larger circle = 616cm²

Area of smaller circle = (22/7)(7)² = 22×7

Area of smaller circle = 154cm²

Area of the ring = 616 - 154 = 462cm²

ii) Perimeter of ring = Perimeter of larger circle + Perimeter of smaller circle

Perimeter of circle = 2πr

When r = 7cm and π = 22/7

Perimeter of smaller circle = 2×(22/7)×7 = 2×22

Perimeter of smaller circle = 44cm

When r = 14cm and π = 22/7

Perimeter of larger circle = 2×(22/7)×14 = 4×22

Perimeter of larger circle = 88cm

Perimeter of ring = 88+44 = 132cm

Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

Answer:

Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.

Step-by-step explanation:

Answer:

To ask questions you need points.

Step-by-step explanation:

Answer:

They help you ask questions as it costs points to ask questions, and the more points you use on a question, the more points someone gets for answering it, meaning they are more likely to answer your question.

They also are used as a form of ranking users, based on how much time they spend on the site helping people and such.

Answer:

Solution,

Total Cost price (CP) = Rs 1120 + Rs 160

= Rs 1280

Selling Price (SP) = Rs 1344

Here,

SP > CP , so he made profit.

Amount of profit = SP - CP

= Rs 1344 - Rs 1280

= Rs 64

Now, finding the profit percent,

Profit %=[tex] \frac{profit \: }{cp} \times 100 \: percent[/tex]

[tex] \frac{64}{1280} \times 100 \: percent[/tex]

[tex]5 \: percent[/tex]

Profit percent = 5%

Hope this helps...

Good luck on your assignment...

Answer:

y=65

x=50

Step-by-step explanation:

exterior angle of a triamgle is equal to sum of two interior angles

so

2y=130(as it is isosceles triangle)

y=65

we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)

therefore, x=50

Answer:

x=50°

y=65°

Step-by-step explanation:

I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand

Let's take the point of intersection as O

Since It is a straight line(on both sides of O)=180°

Therefore x=180°-130°=50°

In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal

When the two sides of a triangle are equal, The base angles are always equal

Second triangle is 180°

The top angle is 50°

the base angles (which y and the angle below it)

is equal to 180°-50°=130°

Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Answer:

y = 4/3x - 8

Step-by-step explanation:

slope of given line is -3/4 so the perpendicular slope is 4/3

line goes through (6, 0)

y = mx + b

0 = 4/3(6) + b

-8 = b

y = 4/3x - 8

The correct answer is 3780 bolts

Explanation:

In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:

500 nuts  (a)  = 1 hour (b)

750 nuts  (c) = x (time spent to make 750 nuts)

x = 750 x 1 / 500

x = 1.5

Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.

According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).

Answer:

B.

Step-by-step explanation:

When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.

Answer:

$7.02

Step-by-step explanation:

Price of 92 sheets = 92 * $0.50 = $46

Price of 2 packages = 2 * $19.99 = $38.98

Savings = $46 - $38.98 = $7.02

Answer:

the second one, you see:

first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]

[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]

Answer:

The answer is A

Step-by-step explanation:

Answer:

1.17

Step-by-step explanation:

1 £ = 1.25 dollars

1 Euro = 1.07 dollars

=> 1 £ = (1.25/1.07) Euros = 1.17 Euros

Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

[tex]2x^2-16x=-30[/tex]

Next, the rule is that the leading coefficient has to be a positive 1.  Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

[tex]2(x^2-8x)=-30[/tex]

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

[tex]2(x^2-8x+16)[/tex]

That's the left side.  Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

[tex]2(x^2-8x+16)=-30+32[/tex]

Completing the square allows us to create a perfect square binomial on the left which is in the form (x -   )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

[tex]2(x-4)^2=2[/tex]

Last step is to move the constant back over and set the quadratic back equal to y:

[tex]y=2(x-4)^2-2[/tex]

From here the vertex is apparent. It is (4, -2).

Answer:

13

Step-by-step explanation:

The number of sheets of paper that were cut is 2 sheets

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of sheets of paper = 7 sheets

The number of pieces they were cut = 3 pieces

The new total number of sheets of paper = 13 sheets

So ,

The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper

The difference in sheets of paper = 13 - 7

                                                        = 6 sheets

Now , each paper is cut into 3 extra sheets

So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut

The number of papers cut = 6 / 3

                                           = 2 sheets of paper

Hence , the number of sheets of paper that were cut is 2 sheets

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

Answer:

x=-7/4 is an improper fraction

Step-by-step explanation:

8x=-14

dividing 8 on both sides

x=-14/8

cancelling by 2

x=-7/4

i hope this will help you :)

Answer:

24-8d

Step-by-step explanation:

4✖️6=24

4✖️(-2d)=-8d

=24-8d

Hope this helps, BRAINLIEST would help me:)

Answer:

-8d + 24.

Step-by-step explanation:

4(6 - 2d)

= 4 * 6 - 4 * 2d

= 24 - 8d

= -8d + 24

Hope this helps!

Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

These are the congruent segments.

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Subtract the values for May and April

13.8 - 6.3 = 7.5