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erma4kov [3.2K]
3 years ago
10

Fill in the blanks

Mathematics
1 answer:
Tema [17]3 years ago
7 0
1.squares
2.rectangles
3.squares are parralelograms
4.polygons
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What is the first quartile of the set of data shown below?
____ [38]
The answer would be B 23
7 0
3 years ago
What is the value of x in the equation -2 =5x + 3
Mars2501 [29]
-2 = 5x +3
5x = 3 + 2
5x = 5
x = 1
3 0
3 years ago
Read 2 more answers
You and your friend are selling tickets to a charity event. you sell 12 adult tickets and 6 student tickets for $138. your frien
mr Goodwill [35]
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:

(1) 12y + 6x = 138
(2) 5y + 11x = 100

If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x

We can now substitute this into equation (2):

5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
6 0
3 years ago
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll
slamgirl [31]

Answer:

The score is  x  =  1884

Step-by-step explanation:

From the question we are told that

     The population mean is  \mu  = 1500

     The standard deviation is  \sigma  =  300

     

From the question we are told that the score follow a normal distribution

i.e     X  \~  \   N( 1500 , 300)

The proportion of score in the top 10% is mathematically

           P(X > x )  =  P( \frac{X -  \mu}{\sigma }  > \frac{x -  \mu}{\sigma }   ) = 0.10

Where x is the minimum score required to be in the top 10%

Now the \frac{X -  \mu}{\sigma }   =  Z (The  \ Standardized \ value \  of  \  X)

  So

            P(X > x )  =  P( Z > \frac{x -  \mu}{\sigma }   ) = 0.10

So

            P(X > x )  =  P( Z > \frac{x -  1500}{300}   ) = 0.10

So the critical value of  0.10  from the normal distribution table is  Z_{0.10} =  1.28

So

               \frac{x -  1500}{300}   = 1.28

              x  =  1884

           

       

6 0
3 years ago
Please help me with question 2
WARRIOR [948]

Answer:

sin(-a)= -15 /17

Step-by-step explanation:

Alright, lets remember that sin(x) is odd function, which means that

wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following

sin(-a)= - sin(a)

Now, other thing to remember: (sin(x))^{2}+(cos(x))^{2}=1

So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:

sin(x)=\sqrt{1-(cos(x))^{2} }

So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)

sin(a)=\sqrt{1 - (cos(a))^{2} } = \sqrt{1 - ( \frac{8}{17} )^{2}  }= \sqrt{\frac{225}{289} }  =15/17

Using the odd function property, we get the following result

sin(-a)= - sin(a) = -15/17

6 0
3 years ago
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