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ella [17]
3 years ago
7

A chef has 10 spice jars, but his new spice rack only holds 8 spice jars.

Mathematics
1 answer:
miskamm [114]3 years ago
5 0
This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.

For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC. 

So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,

nPr = 10P8 = 1, 814,400

Thus, the answer is B.
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I don't know how to find the value of x in the isosceles triangle.
frez [133]

Answer:

x=4

Step-by-step explanation:

split the triangle into two and you will get another smaller triangle as shown in what I have drawn

so notice that there's a right angle?? this means that this is a right angle triangle and you can use Pythagoras theorem to solve it

so by Pythagoras theorem, 5^2= 3^2 + x^2

then you can solve for x

6 0
3 years ago
Triangle CDE with vertices C(1, -1), D(2, 3), and E(3,-2) is reflected in line x= 4.
dlinn [17]

Answer:

(6,3)

Step-by-step explanation:

Two is two away from four and since it is on the left side, you add to get six as your x coordinate. The y coordinate stays the same.

3 0
3 years ago
An animal shelter has 21 puppies. If the puppies are 28% of the total dogs and cat population how many dogs and cats are in the
topjm [15]

Answer:


Step-by-step explanationyes yes yes



5 0
3 years ago
17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa
ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of  A is 0.30 then the probability of A compliment is

    P(A compliment ) = 1 - P (A)

    P(A compliment ) = 1-0.30

    P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

       P ( A U B ) = P (A) + P(B) - P(A∩ B)

       P ( A U B ) = 0.30 + 0.50 - 0

       P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

                     P ( A' ∩ B' ) = P [(A U B )']

                     P ( A' ∩ B' ) = 1 - P ( A U B )

                     P ( A' ∩ B' ) = 1 - 0.80

                     P ( A' ∩ B' ) = 0.20

5 0
3 years ago
What is the image of (4,-2) after a dilation by a scale factor of 1/2 centered at the origin?
Natasha_Volkova [10]

Answer:

That point would now be half as close to the origin, so (2,-1).

5 0
2 years ago
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