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Let p(z)=0.54, p(y)=0.22, and p(z u y)= 0.62. Find each probability.

Marysya12 [62]

Answer : p(only z)=0.40 and p(only u)=0.08

Explanation :

We have given that ,

p(u)=0.22,

p(z∪u)=0.62,

p(z)=0.54

By using probability rule of union of 2 events, we have,

p(z)+p(u)-p(z∩u)=p(z∪u)

⇒0.54+0.22-p(z∩u)=0.62

⇒0.76-p(z∩u)=0.62

⇒(-)p(z∩u)=0.62-0.76

⇒(-)p(z∩u)= (-)0.14

⇒p(z∩u)=0.14

Now,

p(only z)=p(z)-p(z∩u)

=0.54-0.14

=0.40

and,

p(only u)=p(u)-p(z∩u)

=0.22-0.14

=0.08

∴ Each probability will be

p(only z)=0.40

p(only u)=0.08

3 0

2 years ago

At a particular restaurant each mozzarella stick has 90 cal in each pizza roll has 80 cal. A combination meal with the mozzarell

serious [3.7K]

Answer:

The meal consist 11 mozzarella sticks and 6 pizza rolls.

Step-by-step explanation:

We are given the following in the question:

Calories in mozzarella stick = 90

Calories in pizza roll = 80

Let x be the number of a mozzarella stick and y be the number of pizza rolls.

Total calories in meal = 1470

Thus, we can write the equation:

$90x + 80y = 1470$

There are five more mozzarella sticks than pizza roll.

Thus, we can write the equation:

$x = y + 5\\x-y = 5$

Solving the two equations, we get,

$90x+80y+80x-80y = 1470 + 400\\170x = 1870\\x = 11\\y = 11-5 = 6$

Thus, the meal consist 11 mozzarella sticks and 6 pizza rolls.

4 0

2 years ago

a college employs 15 stewards. what is the average monthly wage of the stewards if the college pays 226.20 naira in wages each m

Kitty [74]

What are the options

6 0

2 years ago

-5+7q+ -5q+ -9q please help

vekshin1

For this case we must simplify the following expression

$-5 + 7q + (- 5q) + (- 9q)$

We know that, by definition:

$+ * - = -$

So, rewriting the expression we have:

$-5 + 7q-5q-9q =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

Different signs are subtracted and the major's sign is placed:

$-5 + 2q-9q =\\-5-7q$

Answer:

$-5-7q$

5 0

3 years ago

Given: Triangle ABC, AC=BC, AB=3, line segment CD is perpindicular to line segment AB, CD= sqrt 3 find AC

TEA [102]

Based on the data given, the length of line segment AC is 2.29

<h3>What is the length of side AC?</h3>

Based on the given data:

AC=BC
AB=3
line segment CD is perpendicular to line segment AB
CD= sqrt 3

The triangle ABC is an isosceles triangle.

The line segment AC is the hypotenuse of the the triangle ACD.

The length of AD = 3/2

$AC = \sqrt{(\sqrt{3)^{2}} + (\frac{3}{2})^{2}}= 2.29$

In conclusion, the length of AC is 2.29

Learn more about line segment at: brainly.com/question/2437195

#SPJ1

7 0

2 years ago