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Sedaia [141]
3 years ago
10

How many solutions does the equation −2a + 2a + 7 = 8 have?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

this equation has 0 solutions

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Find the distance between the points given. (-3, -4) and (0, 0)
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Distance between -4 and -3 is 1 and there is no distance between 0
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Simplify: <br> (sq root of) a^2 if a&gt;0<br><br> (sq root of) 36x^2 if x≤0
tresset_1 [31]

Answer:


Step-by-step explanation:

1.  (sq root of) a^2 if a>0 => √(a^2) = ±a

2.  (sq root of) 36x^2 if a>0 => ±6x

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3 years ago
When is 20% off better than 20$ off
Crazy boy [7]

Answer:

Price > 100$

Price > 150$

Step-by-step explanation:

Let us assume that x% off of price y$  is better than x$ off.

Hence, \frac{xy}{1000} > x  

Hence, y > 100

Therefore, when the price is more than 100$, then only x% off on the price is better than x$. (Answer)

Again, assume that 20% off on price y$ is better than 30$ off.

Hence, \frac{20y}{100} > 30

⇒ y > 150$

Therefore, when the price is more than 150$, then only 20% of on the price is better than 30$ off. (Answer)

7 0
3 years ago
he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7079

The margin of error is:

M = T*s = 2.7079*234.12 = 633.97

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

8 0
3 years ago
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