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zheka24 [161]
2 years ago
12

Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A

2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is
Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

Answer:

3/25 for type B, 1/25 for type AB, and 4/25 for both

Step-by-step explanation:

O goes to 22

A goes to 20

B goes to 6

AB goes to 2

22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.

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From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers are possib
eimsori [14]

Answer:

132,600 possibilities

Step-by-step explanation:

The first one chosen can be 1 of 52

The 2nd one chosen is 1 out 51

And the 3rd chosen is 1 out 50

So...

52 x 51 x 50 = 132,600

3 0
2 years ago
The cost y (in dollars) to rent a lane at the bowling alley is proportional to the number x of hours that you rent the lane. It
Alika [10]

Answer:

a) y = 9x

b) For every increase of 1 hour the price to rent the lane increases by $9.

c) $27

Step-by-step explanation:

a) Since it costs $18 for 2 hours we can infer that for every 1 hour it costs $9.

So, the equation would look like this:

y = 9x

b) In this context, for every increase of 1 hour the price to rent the lane increases by $9. Like the question gave us, the price for 2 hours cost $18.

c) Plug 3 into the equation:

y = 9(3)

y = 27

Therefore, it costs $27 to rent the lane for 3 hours.

<em>I hope this helps!!</em>

<em>- Kay :)</em>

5 0
2 years ago
Read 2 more answers
Help please calculus
VLD [36.1K]

Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.

The box has a fixed volume of 252 cm³, so

xyz = 252

The surface area of the box is

2xy + 2xz + 2yz

and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by

C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)

or, omitting units and simplifying,

C (x, y, z) = 7xy + 6 (x + y) z

In the volume constraint, solve for any one variable; I'll do z.

z = 252/(xy)

Substitute this into the cost function:

C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)

Since this is now a function of 2 variables, I'll rewrite this as

C* (x, y) = 7xy + 1512 (1/y + 1/x)

Compute the partial derivatives of C and find the critical points:

∂C/∂x = 7y - 1512/x² = 0   ⇒   x² y = 216

∂C/∂y = 7x - 1512/y² = 0   ⇒   x y² = 216

It follows that

x² y = x y²   ⇒   x = y

Just like before, we can think about C* as yet another function but only of 1 variable,

C** (x) = 7x² + 3024/x

Now find the critical points of C** :

dC**/dx = 14x - 3024/x² = 0   ⇒   x = 6

All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.

6 0
2 years ago
An airplane ascends such that its gain h in altitude is proportional to the square root of the change x in horizontal distance t
Mazyrski [523]

Answer:velocity=185 m/s

Step-by-step explanation:

So make k the subject of the formula by divide both by sqrt(x)

h= k × sqrt(x)

k=h/sqrt(x)

k=256 / sqrt(256)

k=256 / 16

k=16

So now substitute the value of k :

h= 16 × sqrt (x)

Then differentiate:

=(1/2 × sqrt(x))× 16

=16/(2×sqrt(x)

=8/sqrt(x)

Then

= 8/sqrt(x) × 370

=8/ sqrt(256) × 370

=8/16 × 370

velocity=185 m/s

6 0
3 years ago
Find the first five terms of the sequence below <br> a1=3<br> An=an-1+6
mihalych1998 [28]
The first dove terms are:3,9,12,15,18
4 0
3 years ago
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