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3 years ago

How do I solve this?

Mathematics

1 answer:

iren2701 [21]3 years ago

5 0

Answer:

Firstly find the area of the square and then the area of the two triangles and then plus it. That's what I think I tried

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Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b

Rina8888 [55]

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

meadow voles common voles

apple slices 15 21

peanut butter-oatmeal 25 16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

$E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}$

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

= (2 - 1)(2 - 1)

= 1

Compute the p-value as follows:

$p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091$

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

4 0

3 years ago

Evaluate the following expression when x = 3 and y = 4: 2x + y2 - 1

Nimfa-mama [501]

Answer:

Step-by-step explanation:

x = 3

y = 4

2x + y² - 1

2(3) + 4² - 1

2(3) + 16 - 1

6 + 16 - 1

22 - 1

4 0

3 years ago

Read 2 more answers

A music industry researcher wants to estimate, with a 90% confidence level, the proportion of young urban people (ages 21 to 35

Maslowich

Answer:

1,539

Step-by-step explanation:

Using Simple Random Sampling in an infinite population (this is such a large population that we do not know the exact number) we have that the sample size should be the nearest integer to

$\large \frac{Z^2pq}{e^2}$

where

Z= the z-score corresponding to the confidence level, in this case 90%, so Z=1.645 (this means that the area under the Normal N(0,1) between [-1.645,1.645] is 90%=0.9)

p= the proportion of young urban people (ages 21 to 35 years) who go to at least 3 concerts a year= 35% = 0.35

q = 1-p = 0.65

e = the error proportion = 2% = 0.02

Making the calculations

$\large \frac{Z^2pq}{e^2}=\frac{(1.645)^2*0.35*0.65}{(0.02)^2}=1,539.09$

So, the sample size should be 1,539 young urban people (ages 21 to 35 years)

6 0

3 years ago

Pour connaitre la distance qui la separes dune ile armelle vise un arbre de deux endroit distant de 10m sur une berge elle a pri

QveST [7]

Répondre:

AI = 32,36 m

IE = 30,78 m

Explication étape par étape:

Utilisation de Pythagore:

Cosθ = adjacent / hypoténus

AI = hypoténus

θ = 72 °

Adjacent = 10 m

Cos 72 = 10 / AI

0,3090169 = 10 / AI

AI = 10 / 0,3090169

AI = 32,36 m

De la trigonométrie;

IE = opposé

Adjacent = 10m

Tanθ = opposé / adjacent

Tan 72 = IE / 10

IE = Tan 72 * 10

IE = 3,0776835 * 10

IE = 30,78 m

4 0

3 years ago

The table shows the heights of 40 students in a class.

My name is Ann [436]

Answer:

see below

Step-by-step explanation:

There are 7 students between 120 and 124 so take the median of 122