The true statement is that the (a) Event A is not dependent on Event B.
The equations are given as:
P(A | B) = 0.4
P(A) = 0.4
Two events A and B are independent if the following equations are true
P(A and B) = P(A) * P(B)
P(A | B) = P(A)
From the question, we have:
P(A | B) = P(A) = 0.4
This means that events A and B are not dependent
Hence, the true statement is (A)
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Given:
The net value of the bakery (in thousands of dollars) t months after its creation is modeled by
Paul wants to know what his bakery's lowest net value will be.
To find:
The function in a different form (factored or vertex) where the answer appears as a number in the equation.
Solution:
Factor form is used to find the x-intercepts and vertex form is used to find the extreme values (maximum or minimum). So, here we need to find the vertex form.
We have,
Adding and subtract square of half of 6 in the parenthesis, we get
Vertex form:
where, (h,k) is vertex.
On comparing this equation with vertex form, we get the of the function is (3,-32).
Therefore, the vertex form is and the function has minimum value at (3,-32). It means, minimum net value of the bakery is -32 after 3 months.
The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means the minimum net value of the bakery is -32 after 3 months.
Given that,
Paul opened a bakery.
The net value of the bakery (in thousands of dollars) t months after its creation is modelled by the equation v(t) = 2t²- 12t - 14.
Paul wants to determine the bakery's lowest net value.
To rewrite the function in a different form,
Find the vertex of the quadratic equation.
The vertex form of a quadratic equation is given by,
v(t) = a(t-h)² + k,
Where (h, k) represents the coordinates of the vertex.
Proceed, v(t) = 2t² - 12t - 14,
v(t) = 2(t² - 6t) - 14,
v(t) = 2(t² - 6t + 3² - 3²) - 14
v(t) = 2(t - 3)² - 32
Vertex form:
v(t) = a(t-h)² + k,
where, (h,k) is vertex.
On comparing this equation with vertex form, we get the function is (3,-32).
Therefore,
The vertex form is v(t) = 2(t - 3)² - 32 and the function has a minimum value at (3,-32). It means minimum net value of the bakery is -32 after 3 months.
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Answer:
y = 1
y = 16
y = 20
y = 0
Step-by-step explanation:
Por cada valor de x intercambialo con su valor nuevo.
The statement is False.
Right triangles don't all look the same.
When two triangles are similar, their corresponding angles and sides must be equal and proportional.
Although right triangles have the same attribute of having a single 90-degree angle, they might differ in their side lengths and angles, therefore they are not always comparable.
The relationship between a triangle's angles and side lengths determines how similar they are.
Only when the side lengths of two right triangles are proportionate and all of their angles, including the right angle, are congruent can two right triangles be said to be similar.
Hence the statement is false.
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decorating plan that
A. places the computer station in an adjoining room.
B. doesn’t allow for the computer because it doesn’t fit your color scheme.
C. removes family seating for a fabulous computer station.
D. incorporates the computer and the family activities.
6. You live in an area of predominantly wealthy people. As a decorator, you would like
to attract these people as clients. On a first interview with one of these clients, how
should you dress?
A. The way you would expect this client to dress
B. Casually for the first interview
C. Very formally to show the client you care
D. In a manner that best suits your own style and comfort
7. What is one similarity between interior decorators and interior designers?
A. Both are trained professionals.
B. Both must be licensed by their state or province.
C. Both prepare working drawings for interior construction.
D. Both must have at least a bachelor’s degree.
8. Decorators working in new-home construction help clients select
A. siding. C. window treatments.
B. brick. D. shingles.
9. _______ emphasize the most important part of your products or service.
A. Features C. Functions
B. Benefits D. Styles
10. Marco Polo discovered the _______ influence on his travels.
A. Egyptian C. Colonial
B. Renaissance D. Asian
11. Which one of the following client types wants to be the first to have something new?
A. Optimist C. Innovator
B. Insecure D. Mainstream
12. The average worker has _______ jobs during his or her career years.
A. 3 C. 6
B. 4 D.
1. Your client has an extensive home computer system. He wants it in his living room because he wants to be with his family while he works. You develop a decorating plan that
D. incorporates the computer and the family activities.
You live in an area of predominantly wealthy people. As a decorator, you would like to attract these people as clients. On a first interview with one of these clients, how should you dress?
C. Very formally to show the client you care
What is one similarity between interior decorators and interior designers?
C. Both prepare working drawings for interior construction.
Decorators working in new-home construction help clients select
A. siding.
_______ emphasize the most important part of your products or service.
D. Styles
Marco Polo discovered the _______ influence on his travels.
B. Renaissance
Which one of the following client types wants to be the first to have something new?
Decorators working in new-home construction help clients select:
see page 25 - window treatments is the answer
_______ emphasize the most important part of your products or service.
see page 45 - Features is the answer
Answer : The percentage will be, 200%
Step-by-step explanation :
First we have to calculate the excess weight.
Excess weight = 45 kg - 15 kg
Excess weight = 30 kg
Now we have to calculate the percentage of excess weight.
Percentage of excess weight =
Percentage of excess weight =
Percentage of excess weight = 200 %
Therefore, the percentage will be, 200%