For this case we have the following vectors:
The dot product of two vectors is a scalar.
The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
For the product point of the vectors a and b we have:
Answer:
The product point of the vectors a and b is:
Answer:
A. It has reflectional symmetry
B. It is symmetrical
D. It has five lines of symmetry
Step-by-step explanation:
we know that
A regular pentagon has 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides
Every regular polygon has reflectional symmetry
Regular polygons are symmetrical
therefore
A. It has reflectional symmetry ------> Is true
B. It is symmetrical -----> Is true
C. It has exactly one line of symmetry ----> Is false
D. It has five lines of symmetry -----> Is true
Answer:
The estimate is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 522
The sample proportion of students would like to talk about school is 
Given that the confidence level is 90 % then the level of significance can be mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally the margin of error can be mathematically represented as
=> 
=> 
Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is
substituting values
Answer:
1. Lin raised $40
2. Jada raised $20
3. Andre raised $60
Step-by-step explanation:
1. It says Lin raised 100% of her goal and the goal was $40 which means that she earned $40
2. For this one it says Jada raised only 50% of her goal. To solve this one you just take half of 40 since it says she raised only 50% of her goal which gets you 20
3. For this one you just have to do some adding. The first part of the problem you take away the 50% of the 150% for a minute and that just leaves 100% which is a total of 40$ you then just look at the 50% by itself which is 20$. Then you take 40 and add the 20 to it which gets you a total of 60$
have a great day! :)
The answer is y = 2x + 3.
x - Kay's age
y - Jane's age
m - Mary's age
<span>Jane is 3 years older than Mary: y = m + 3
</span><span>Mary is twice as old as Kay: m = 2x
</span><span>
y = m + 3
m = 2x
Substitute m in the first equation:
y = 2x + 3
</span>
