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Tresset [83]
3 years ago
7

Prove that: 16^4–2^13–4^5 is divisible by 11

Mathematics
1 answer:
myrzilka [38]3 years ago
4 0
If the answer is a whole number when divided by eleven
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Sarahs craft project uses peices of yarn that are 1/8 yard long.She has a peice of yarn that is 3 yards ling.How many 1/8 yard p
motikmotik
Pieces of yarn .... 1/8 yard long (each)
a piece of yarn ... n = 3 yards long
remaining ... 1 1/4 yards = 5/4 yards

If you would like to calculate how many 1/8 yard pieces can Sarah cut and still have 1 1/4 yards left, you can do this using the following steps:

n - 1 1/4 = <span>3 - 1 1/4 </span>= 3 - 5/4 = 12/4 - 5/4 = 7/4 = 1 3/4 yards

7/4 / 1/8 = 7/4 * 8/1 = 14 pieces

Result: Sarah can cut 14 1/8 yard pieces and still have 1 1/4 yards left.

3 0
3 years ago
Read 2 more answers
36 plants in 6 rows =<br> plants per row
o-na [289]

Answer: 6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(Help!!!!!!!!) Elena is building a fence for a garden. Using the drawing of her fence below, how many feet of fencing does she n
Tanzania [10]

Answer:it is d because on the chart it is 5 and 2 and your round

Step-by-step explanation:7 times 5 28 equal 30 hope helped correct if wrong

4 0
3 years ago
2x^2y^3z^2 · 4xy^4x^2<br><br> Multiply and simplify
Advocard [28]

Take out the constants

(2 × 4)x^2xx^2y^3y^4z^2

Simplify 2 × 4 to 8

8x^2xx^2y^3y^4z^2

Use the Product Rule: x^ax^b = x^a + b

8x^2 + 1 + 2y^3 + 4z^2

Simplify 2 + 1 + 2 to 5

8x^5y^3 + 4z^2

Simplify 3 + 4 to 7

<u>8x^5y^7z^2</u>

6 0
3 years ago
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
3 years ago
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