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____ [38]
3 years ago
10

What is the missing length?

Mathematics
1 answer:
Reptile [31]3 years ago
8 0

Answer:

The answer to your question is 7 in

Step-by-step explanation:

Data

base = 14 in

area = 98 in²

Formula

Area of a parallelogram = base x height

-Solve for height

           height = Area of a parallelogram / base

-Substitution

           height = 98 / 14

-Simplification

           height = 7 in or p = 7 in

-Conclusion

The length of p = 7 in

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Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treat
stiks02 [169]

Answer:

Part A

b. 14.6 ± 7.38

Part B

b. 3.43

Part C

a. P-value < 0.01

Part D

b. There is sufficient evidence to reject the null hypothesis

Step-by-step explanation:

Part A

The given data are;

The number of seedlings in the field = 20

The number of seedlings selected to receive herbicide A = 10

The number of seedlings selected to receive herbicide B = 10

The height in centimeters of seedlings treated with Herbicide A, \overline x _1 = 94.5 cm

The standard deviation, s₁ = 10 cm

The height in centimeters of seedlings treated with Herbicide B, \overline x _2 = 109.1 cm

The standard deviation, s₂ = 9 cm

The 90% confidence interval for μ₂ - μ₁, is given as follows;

\left (\bar{x}_{2}- \bar{x}_{1}  \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}

The critical-t at 95% and n₁ + n₂ - 2 degrees of freedom is given as follows;

The degrees of freedom, df = n₁ + n₂ - 2 = 10 + 10 - 2 = 18

α = 100% - 90% = 10%

∴ For two tailed test, we have, α/2 = 10%/2 = 5% = 0.05

t_{(0.025, \, 18)} = 1.734

C.I. = \left (109.1- 94.5 \right )\pm 1.734 \times \sqrt{\dfrac{10^{2}}{10}+\dfrac{9^{2}}{10}}

C.I. ≈ 14.6 ± 7.37714603353

The 90% C.I. ≈ 14.6 ± 7.38

b. 14.6 ± 7.38

Part B

With the hypotheses are given as follows;

H₀; μ₂ - μ₁ = 0

Hₐ; μ₂ - μ₁ ≠ 0

The two sample t-statistic is given as follows;

t=\dfrac{(\bar{x}_{2}-\bar{x}_{1})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}

t-statistic=\dfrac{(109.1-94.5)}{\sqrt{\dfrac{10^{2} }{10}+\dfrac{9^{2}}{10}}} \approx 3.43173361147

The two sample t-statistic ≈ 3.43

b. 3.43

Part C

From the t-table, the p-value, we have, the p-value < 0.01

a. P-value < 0.01

Part D

Given that a significance level of 0.05 level is used and the p-value of 0.01 is less than the significance level, there is enough statistical evidence to reject the null hypothesis

b. There is sufficient evidence to reject the null hypothesis.

4 0
2 years ago
A cylinder has a radius of 12 m and a height of 9 m.
mrs_skeptik [129]
The volume of cylinder formula is πr²h.

V = π(12)²(9)
V = 1296π³

So the correct answer is 1296π³
3 0
3 years ago
Read 2 more answers
P - 12p + -2p - -19p + -13p = 9
USPshnik [31]

Answer:

p=\frac{9}{7}

Step-by-step explanation:

p - 12p + -2p - -19p + -13p = 9\\p(1-12+(-2)-(-19)+(-13)) = 9\\p(-11-2+19-13)=9\\p(7)=9\\p=\frac{9}{7}

Let's check the answer:

6 0
2 years ago
If angle BAT and angle EAT form a linear pair and angle BAT is obtuse, then angle EAT is
mamaluj [8]
You need to make this easier to understand. <span />
5 0
3 years ago
Show work ifidididodudus
Tresset [83]
The answer is G bc the range is the y values and the graph shows the y values greater than one
4 0
2 years ago
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