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3 years ago

Which function has the graph shown?

Mathematics

2 answers:

11111nata11111 [884]3 years ago

5 0

Answer:

The function that is shown in the graph is:

y= -cos x

Step-by-step explanation:

We are given a graph of a function we have to recognize which function is represented by the given graph.

Clearly we could observe from the graph that the function takes the value -1 at x=0.

Hence, the function which satisfy this condition is:

y= -cos x

( since at x=0

y= -cos 0=-1

Also at x=π

we get

y= -cos(π)=-(-1)=1

similarly at x= -π

we get:

y= -cos(-π)= -(-1)=1)

guapka [62]3 years ago

3 0

The answer is B. y = -cos(x)

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Find the length of x.

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3 years ago

Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in^2.

notsponge [240]

Answer:

C. 16√3π in.

Step-by-step explanation:

Circumference of a circle = 2πr where

r is the radius of the circle.

Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.

If A = πr²

48π = πr²

r² = 48

r = √48 in

The radius of one of the smaller circle is √48.

To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.

R = 2r

R = 2√48 inches

Since C = 2πR

C = 2π(2√48)

C = 4√48π in

C = 4(√16×3)π in

C = 4(4√3)π in

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Thw circumference of the larger circle is 16√3π in.

3 0

3 years ago

Read 2 more answers

What is 5/3 converted into a decimal?

stepan [7]

It would be, 1.66666667

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3 years ago

12 out of 20 doctors agree 15 out of 30 doctors agree are the ratios equivalent

uysha [10]

No it is not because 15 out of 30 is half but 12 out of 20 is more than half

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4 years ago

Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8

morpeh [17]

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² = (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection of the claim that the distribution of the sample agrees with the distribution of the state populations.

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3 years ago