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3 years ago

An entomologist can model the number of mosquitos in a forest as a function of rainfall.

Mathematics

2 answers:

murzikaleks [220]3 years ago

5 0

Answers:

B and D

Step-by-step explanation:

B - This intersects really show us amount of rainfalls (x values) for amount of mosquitoes = 3 millions

D - We can find intersects for this equations if we combine them to one equation

C - We have no intersect of x=3

A - Intersects don't show the same values for x and y

maxonik [38]3 years ago

3 0

Answer: d :)

Step-by-step explanation:

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Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con

Ket [755]

Answer:

Step-by-step explanation:

Given that:

$H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55$

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }$

$Z = \dfrac{-1}{\dfrac{5.3}{6} }$

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

For x = 53 and s = 4.6

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }$

$Z = \dfrac{-2}{\dfrac{4.6}{6} }$

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

$Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that$ $\mu < 55$

For x = 56 and s = 5.0

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }$

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

6 0

3 years ago

Rotate ΔABC with vertices A(-1, 4), B(2, 1), and C(3, -3) about the origin by 90°.

MAXImum [283]

You got this you can do it I don’t know the answer but I hope you find someone who does(:

4 0

3 years ago

8x + 3(2 - x) = 5x + 6

tino4ka555 [31]

Answer:

0=0

Step-by-step explanation:

distribute

combine like terms

subtract from both sides of the equation

simplify

subtract from both sides of the equation

simplify

get answer 0=0

6 0

3 years ago

Chet found a pair of sunglasses that he would like to buy. they normaly cost $43.00, but this week they are on sale for only 7/8

Tresset [83]

Ok, so this is a simple problem
since its 7/8 of the price now, you do $43 divided by 8 to get the unit rate...
5.375 which rounds up to $5.38.
now since theres only 7/8, do 5.38x7 and your answer will be $37.66

3 0

3 years ago

Graph the linear equation -2x-3y=-7

Nana76 [90]

Answer:

hope this helps !

6 0

3 years ago