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Scrat [10]
2 years ago
9

5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer

Mathematics
1 answer:
nika2105 [10]2 years ago
6 0

Answer:

2 pigs, 13 turkeys

Step-by-step explanation:

34=2t+4p (equation for legs)

t+p=15 (equation for total # of animals) --> t=15-p

substitution:

34=2(15-p)+4p

p=2

plug back in to other equation

t=15-(2)

t= 13

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Complete the identity. =( sin (alpha +beta))/ (cos alpha cos beta)=?
dem82 [27]
Hi, We know:

Sin(a + b) = 2.Sin(a).Sin(b)

Then,

= 2Sin(a).Cos(b)/Cos(a).Cos(b)

Canceling Cos(b)

= 2Sin(a)/Cos(a)

As Tan(a) = Sin(a)/Cos(a)

Then we will stay:

= 2Tan(a)

Or

= Tan(a) + Tan(a)

There is anything wrong on the alternatives
4 0
3 years ago
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
kompoz [17]

Answer: [911,∞)


Step-by-step explanation:

Given: S be the number of cans collected by Shane.

Since,  Abha collected 178 more cans than Shane did.

Then, the number of cans collected by Abha = S+178

Also, Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

So, S+178+S\geq2000

\\\Rightarrow\ 2S\geq2000-178\\\Rightarrow2S\geq1822\\\Rightarrow\ S\geq911

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4 0
3 years ago
The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll
mihalych1998 [28]

Given Information:  

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:  

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

\bar{x} = 1884\\

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\

Therefore, you need to score 1884 in order to  qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0
3 years ago
What decimal is equivalent to 3%?
cupoosta [38]
The answer is d, have a good day
6 0
3 years ago
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A. Sin40=6/x<br> B. Sin40= x/6<br> C. Cos40= x/6<br> D. Cos40=6/x
STatiana [176]
The answer is A. sin40=6/x
7 0
4 years ago
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