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2 months ago

People at the state fair were surveyed about which type of

1 answer:

6 0

To respond effectively, one would need a table showing the number of males and females who prefer pink or yellow lemonade at the state fair. Male preferences are captured as Pink Lemonade: 156, Yellow Lemonade: 104, totaling 260. Female preferences recorded as Pink Lemonade: 72, Yellow Lemonade: 48, totaling 120. Overall, totaling: Pink Lemonade: 228, Yellow Lemonade: 152, 380 in sum. P(pink lemonade | female) is computed as 72/(72+48) = 72/120 = 0.6. P(pink lemonade) is calculated as (156+72)/(260+120) = 228/380 = 0.6. Consequently, the events of preferring pink lemonade and being female are independent given P(pink lemonade | female) equals P(pink lemonade) which both equal 0.6.

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A shipment of 20 similar laptop computers to a retail outlet contains 3 that are defective. If a school makes a random purchase

Svet_ta [12734]

Answer:

Step-by-step explanation:

The total count of laptops, N = 20

Defective laptops, n = 3

The school is purchasing 2 laptops

Case 1:

Both purchased laptops are non-defective

Probability of selecting 2 non-defective laptops

The count of non-defective laptops equals 20 - 3 = 17

Overall laptop count = 20

Probability, P = 17/20 = 0.85

Case 2:

One laptop is found defective

The probability of choosing 1 defective and 1 non-defective laptop

P' = 3/20 x 17/19 = 0.134

Case 3:

Both laptops are defective

Choosing 2 laptops from 3 = 3 C 2 = 3

Selecting 2 from 20 = 20 C 2 = 190

The probability of selecting two defective laptops equals 3 / 190 = 0.0158

P'' =

4 0

2 months ago

Forensic scientists use the equation h=2.6f+47.2 to estimate the height h of a woman given the length in centimeters of her femu

zzz [12365]

Answer:

waaa

Detailed explanation:

6 0

1 month ago

the graph shows your budget and the total cost of x gallons of gasoline and a car wash you want to determine the possible amount

lawyer [12517]

Answer:

Part a) Your budget is $40.

Part b) The price for one gallon of gasoline is $3.55, while a car wash costs $8.

Part c) $x \leq 9.01\ gal$

Part d) Refer to the explanation below.

Step-by-step explanation:

Please see the complete question in the attached image.

Part a) The budget is expressed by the equation

y = 40

therefore,

Your budget amounts to $40.

Part b) In terms of costs, how much is a gallon of gasoline and what is the car wash price?

Let

y ------> denote the total cost for a gallon of gasoline along with a car wash

x -----> define the volume of gasoline in gallons

We can express the relationship as

y = 3.55x + 8

For calculations, when x = 0, we have:

y = 3.55(0) + 8 = 8

The y-intercept signifies the cost of the car wash, being $8.

Now, to identify the price of one gallon of gasoline:

We know the slope of the linear function is

m = $3.55 per gallon

This confirms that a gallon of gasoline costs $3.55.

Part c) Formulate an inequality representing the potential quantity of gasoline you can purchase:

We have:

$3.55x+8 \leq 40$

Now, solve for x:

$3.55x \leq 40-8$

$3.55x \leq 32$

$x \leq 9.01\ gal$

Part d) Utilize the graph to determine the solution of the inequality from part c)

We can set up the system:

y = 40

y = 3.55x + 8

The solution lies at the intersection of both graphs. By observing the graph, the intersection appears to be around (9, 40).

This indicates that the maximum volume of gasoline purchasable within your budget is approximately 9 gallons.

6 0

2 months ago

Give an equation which describes the intersection of this sphere with the plane z=0z=0.

Svet_ta [12734]

Center coordinates: (x0, y0, z0) and radius r.

The equation of the sphere is:
(x - x0)^2 + (y - y0)^2 + (z - z0)^2 = r^2

4 0

3 months ago

Value of sec Square 26 degrees - cot square 64 degrees is

Leona [12618]

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

$sec^{2}(26\°)-cot^2(64\°)$

Recall that

$cot^2(64\°)=\frac{cos^2(64\°)}{sin^2(64\°)}$

$sec^{2}(26\°)=\frac{1}{cos^2(26\°)}$

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

$\frac{1}{cos^2(26\°)}=\frac{1}{sin^2(64\°)}$

Substituting values,

$\frac{1}{sin^2(64\°)}-\frac{cos^2(64\°)}{sin^2(64\°)}$

$\frac{1-cos^2(64\°)}{sin^2(64\°)}$

From this, we find

$1-cos^2(64\°)=sin^2(64\°)$

By substitution,

$\frac{sin^2(64\°)}{sin^2(64\°)}=1$

4 0

3 months ago