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Viefleur [7K]
4 years ago
12

The perimeter of the triangle.​

Mathematics
1 answer:
mel-nik [20]4 years ago
4 0
In order to find the perimeter, all we have to do is add all three of the sides:
x^2 + 3 + 2x + 5 + 2x = 29
x^2 + 4x + 8 = 29

Subtract 29 from both sides:
x^2 + 4x - 21 = 0

Factor:
(x + 7)(x - 3) = 0
{-7, 3}

3 can be the only possible length, since a length can't be a negative number.

2x = 6
2x + 5 = 11
x^2 + 3 = 12
-T.B.
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The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
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A = -3
nth term (u_n) = rn -3, where r = difference between each term

u_1 = -3
u_15 = 53 = 15r -3
u_15 = 56 = 15r
u_15 = 56 / 15 = r

u_n = (56/15)n - 3
8 0
4 years ago
Identify the null and alternative hypotheses, test statistic, critical value(s) or P-value (or range of P-values) as appropriate
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Answer:

Step-by-step explanation:

Given that  A cereal company claims that the mean weight of the cereal in its packets is 14 oz

Test the claim at the 0.01 significance level.H0: μ = 14 oz. H1: μ 14 oz.

Parameter  Value

Mean  14.050

SD  0.346

SEM  0.122

N  8      

90% CI  13.818 to 14.282

95% CI  13.760 to 14.340

99% CI  13.621 to 14.479

Minimum  13.6

Median  14.05

Maximum  14.6

Test statistic: t = 0.408

Critical values: t = ±3.499.

Since test statistic falls within the critical values, we accept the null hypothesis at 1% significance.

Fail to reject H0. There is not sufficient evidence to warrant rejection of the claim that the mean weight is 14 ounces.

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2, Use the given sample sizes and numbers of successes to find the pooled estimate p. n1 = 100 n2 = 100 x1 = 33 x2 = 36

proportion difference = 0.03

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Answer:

true

Step-by-step explanation:

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