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Verdich [7]
3 years ago
12

N2+7n+15=5. What's the answer

Mathematics
2 answers:
Tanzania [10]3 years ago
7 0
If the first term is n^2, then fisr make the equation =0, which would be n^2+7n+10. So what number multiplies to positive 10 and adds up to positive 7? 5 and 2. So factor the equation into (n+5)(n+2)=0. To make the equation 0, one of the parts have to be zero. The cases would be n=-5, -2
Veseljchak [2.6K]3 years ago
4 0
N=- 5 or n= -2

Hope this helps!
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Which of these equations have no solution? Check all that apply.
Llana [10]
2(x + 2) + 2 = 2(x + 3) + 1
2x + 4 + 2 = 2x + 6 + 1
2x + 6 = 2x + 7 - NO SOLUTION
(subtract 2x from both sides, then 6 = 7 FALSE)

2x + 3(x + 5) = 5(x – 3)
2x + 3x + 15 = 5x - 15
5x + 15 = 5x - 15 - NO SOLUTION

4(x + 3) = x + 12
4x + 12 = x + 12 - ONE SOLUTION

4 – (2x + 5) = (–4x – 2)
4 - 2x - 5 = -4x - 2
-2x - 1 = -4x - 2  - ONE SOLUTION

5(x + 4) – x = 4(x + 5) – 1
5x + 20 - x = 4x + 20 - 1
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3 0
3 years ago
Read 2 more answers
What is the difference between theoretical and experimental probability?
umka2103 [35]

Answer:

<h2>See below</h2>

Step-by-step explanation:

Theoretical probability is the actual chance of something happening based on raw numbers.

For example: The theoretical probability of tails on a coin flip is 1/2 or 50%. If you flipped a coin, you would expect 50% to be heads, 50% to be tails.

However, since this almost never happens, experimental probability is used to describe the actual results.

For example: If you flip the coin 50 times and 23 are tails, 27 are heads, then the experimental probability is 46% for tails and 54% for heads.

I'm always happy to help :)

3 0
3 years ago
A quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain bra
tensa zangetsu [6.8K]

Answer:

We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

Step-by-step explanation:

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

<u><em>Let </em></u>\mu<u><em> = average calorie content of a 12-ounce can.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 120 calories     {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

Alternate Hypothesis, H_A : \mu > 120 calories     {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                         T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average calories per can = 124 calories

             s = sample standard deviation = 6 calories

            n = sample of cans = 10

So, <em><u>test statistics</u></em>  =  \frac{124-120}{\frac{6}{\sqrt{10} } }  ~ t_9

                               =  2.108

The value of t test statistics is 2.108.

<em>Now, at 0.05 significance level </em><em>the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test</em><em>. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which </em><u><em>we reject our null hypothesis</em></u><em>.</em>

Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.

7 0
3 years ago
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
Alisiya [41]

Answer: b.

Step-by-step explanation:

Based on the information given, you can write the following expression:

y=\frac{k}{x^2}

Where k is the the constant of variation

If y=4/63 when x=3, then you can substitute these values into the expression and solve for k:

\frac{4}{63}=\frac{k}{3^2}\\k=9*\frac{4}{63}\\k=\frac{4}{7}

Substitute k into the expression. Then the equation is:

y=\frac{4}{7x^{2}}

Substitute x=5  into the equation. Then, y is:

y=\frac{4}{7(5)^{2}}=\frac{4}{175}}

8 0
4 years ago
Read 2 more answers
Find variables x, y, and z
aleksley [76]

Answer:

Step-by-step explanation:

5 0
2 years ago
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