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guapka [62]
3 years ago
14

When Theresa got her puppy, it weighed 6 ponds less than 2/3 of its weight now. If the puppy weighed 4 pounds when she first rec

eived himnwhat is her puppys weight now
Mathematics
1 answer:
sesenic [268]3 years ago
5 0

Answer:

15 lb

Step-by-step explanation:

let the current weight of the puppy be X, the  initial weight of the puppy is 4lb or \frac{2}{3}X-6\ lb, (6 lb less 2/3 X) .

#We equate the current weight to the initial weight to determine X:

4\ lb=\frac{2}{3}X-6\ lb\\\\10 \ lb=\frac{2}{3}X\\\\X=15

Hence, the current weight of the puppy is 15 lb

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As voters exit the polls, you ask a representative random sample of voters if they voted for a proposition. If the true percenta
tresset_1 [31]

Answer:

The probability is 0.057797

Step-by-step explanation:

Consider the provided information.

It is given that true percentage of voters who vote for the proposition is 63%,

Let p is probability of success.

According to the binomial distribution:

P(x;p,n)=^nC_x(p)^x(1-p)^{(n-x)}

Substitute n=7, p=0.63 and x=2 in the above formula.

P(x;p,n)=^7C_2(0.63)^2(1-0.63)^{(7-2)}

P(x;p,n)=\frac{7!}{2!5!}(0.3969)(0.37)^{5}\\P(x;p,n)=21(0.3969)(0.37)^{5}\\P(x;p,n)=0.0577974947199\\P(x;p,n)\approx0.057797

Hence, the probability is 0.057797

8 0
3 years ago
The common point between lines y = 2x + 5 and y = ½ x + 6 is (3, 1/2). true or false
mixer [17]
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.

Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6

Subtract (1/2)x from each side.
(3/2)x + 5 = 6

Subtract 5 from each side.
(3/2)x = 1

Multiply each side by 2/3.
x = 2/3.

From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.

The common point is (2/3, 19/3). It is not equal to (3, 1/2).

Answer: False
5 0
3 years ago
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Jesse has two packages of 36TACKS and 16 TACKS. How many garage sale posters can she put up if she uses 4TACKS for each poster?
hodyreva [135]

Answer: 21 posters or 13 posters, please read the explanation since your wording was confusing.


Step-by-step explanation: Okay if you have two packs of 36 and 16 which is 104, you divide by 4 tacks. You end up getting 21 posters.


If you mean there are only 36 and 16 you get 52 and divide by 4. You end up having 13 posters.


7 0
3 years ago
If 10x+6y=7 is a true equation, what would be the value of 6(10x+6y)?
aleksandr82 [10.1K]

Answer:

42

Step-by-step explanation:

We know that 10x + 6y = 7, and so

6(10x + 6y) = 6(7) = 42

8 0
3 years ago
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I will go less as i write them:

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