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sveta [45]
3 years ago
5

Factor the polynomial by its greatest common monomial factor. 9m3 – 27m=

Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0

Step-by-step explanation:

9m out of 9m³h−27m

9m(m²h−3)

Alja [10]3 years ago
5 0

Answer:

Step-by-step explanation:

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Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening
Finger [1]

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

4 0
2 years ago
Find the area of a square that has a perimeter of 24 cm.
Colt1911 [192]

Answer:36

Step-by-step explanation: since a square has 4 sides you divide 24 by 4 to see what one side equals which is 6 then you do 6 times 6 because that's how you find area of a square which gets you 36

5 0
3 years ago
Read 2 more answers
8x + 5y = 22<br> -8x + y = 14
finlep [7]

Answer:

Y = 6 X=-1

Step-by-step explanation:

  1. Add the numbers 8x+-8x=0. 5y+y=6y. 22+14=36
  2. So that means 6y=36. So Y would equal 6
  3. Substitute the values it one of the original equations. 8x + 5(6) =22. 8x+30=22
  4. Minus 22 from both sides.
  5. That would give you 8x=-8
  6. So x would equal - 1
3 0
3 years ago
Read 2 more answers
A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
3 years ago
1) It's February and you go to the store to buy some food for your pets. You have a Great
Aleks [24]
<h2>Question:</h2>

1) It's February and you go to the store to buy some food for your pets. You have a Great

Dane and a Savannah cat. The Dane eats 3 times as much as your cat so his food

cost $60 for the big bag and he eats that in one week. The Savannah cats food cost

$15 a bag and it lasts him one week as well. You are there to buy food for the month

and have no more than $300 total to spend. Can you afford a month's worth of food?

a) If you bought the cat 6 weeks worth of food, how many weeks worth can you

buy your Great Dane?

<h2>Answer:  Yes you can afford </h2><h3></h3>
7 0
2 years ago
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