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hammer [34]
3 years ago
7

Red Riding Hood is making a food basket out of 8 different fruits and 9 different vegetables. If there is only room for 6 items,

how many ways could there be an equal number of fruits & veggies? (You can show your process if you like; half mark possible. Avoid spaces.)
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0

Answer:

169,344

Step-by-step explanation:

Data provided in the question

Different fruits = 8

Different vegetables = 9

There is only room for 6 items

Based on the above information, the number of ways for an equal number of fruits & veggies is

For the number of combinations of fruit is

= 8\times7\times6

For the number of combinations of vegetables is

= 9\times8\times7

So, the total combinations are

= 9\times8\times8\times7\times7\times6

= 169,344

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weqwewe [10]

Answer:

For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:

Null hypothesis: p =0.2

Alternative hypothesis: p >0.2

And for this case we should use a righ tail test based on the alternative hypothesis.

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".  

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".  

Solution to the problem

For this case we want to test if in IT companies more than 20% of employees prefer to use Skype rather than a mobile phone (alternative hypothesis) and the complement would be the the null hypothesis. So then the system of hypothesis are:

Null hypothesis: p =0.2

Alternative hypothesis: p >0.2

And for this case we should use a righ tail test based on the alternative hypothesis.

6 0
3 years ago
Lorena has two pieces of ribbons. One piece is 3 meter 14 centimeter long. The other piece is 8 meters 24 centimeters long. How
deff fn [24]
Lorena has
3 meters=300 cm
1st piece=314 cm 
8 meters=800 cm
2nd piece=824 cm
together=824+314=1138 cm  or 11 meters and 38 cm
1m=100 cm

4 0
3 years ago
What is the area of "triangle " XYZ to the nearest tenth of a square inch? Use special right triangles to help find the height.
igomit [66]

Answer:

That is a 30 60 90 triangle.

In such a triangle the "middle" size = short side * sq root (3)

height = 5 * sq root (3) =  8.6602540378

Area = (1/2) * 5 * 8.6602540378

Area = 2.5 * 8.6602540378

Area = 21.6506350946 square centimeters

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do I solve <br><img src="https://tex.z-dn.net/?f=%20%20%5Csin%28%20a%20%29%20%20%3D%20.8325" id="TexFormula1" title=" \sin(
Serga [27]

Answer:

a=56.4\degree

Step-by-step explanation:

Let a be an acute angle.

To solve: \sin(a)=0.8325, we take the sine inverse of both sides to obtain:

\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)

Recall  composition property of a function and its inverse function.

f^{-1}(f(x))=x

We apply this property to the left hand side to obtain;

a=\sin^{-1}(0.8325)

We now use our scientific calculator to obtain;

a=56.3564115\degree

We round to the nearest tenth to obtain;

a=56.4\degree

4 0
3 years ago
3. Simplify. <br> a) 5x + 2(x - y) <br> b) 3a - 2b + 4a - 9b <br> c) 2(x - y) + 3(x - y)
mixer [17]
A. 7x-2y
b. 7a-11b
c. x-y

7 0
3 years ago
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