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3 years ago

Find the left critical value for 95% confidence interval for σ with n = 41. 26.509 24.433 55.758 59.342

Mathematics

1 answer:

Makovka662 [10]3 years ago

7 0

Answer: 59.342

Step-by-step explanation:

The chi-square critical values are used to find the confidence interval for σ.

Left critical value = $\chi^2_{\alpha/2, n-1}$ [i.e. chi-square value from chi-square table corresponding to degree of freedom n-1 and significance level of $\alpha/2$ ]

To find : left critical value for 95% confidence interval for σ with n = 41.

Significance level : $\alpha=1-0.95=0.05$

degree of freedom = 41-1=40

Now, the left critical value for 95% confidence interval for σ with n = 41 is the chi-square value corresponding to degree of freedom n-1 and $\alpha/2=0.025$

=59.342 [from chi-square table ]

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Answer:

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Step-by-step explanation:

Since the sail is triangular, we solve the area using the area of a triangle

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base is 18 and height is 24

Area = 1/2 × 18 × 24

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3 years ago

The information below explains the transformations and translations of a logarithmic function. What is the equation for this fun

maks197457 [2]

The transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>How to transform the logarithmic function?</h3>

The parent logarithmic function is

y = log(x)

When shifted left by 4 units, we have:

y = log(x + 4)

When shifted up by 3 units, we have:

y = log(x + 4) + 3

When compressed vertically by 1/3, we have:

y = 1/3(log(x + 4) + 3)

This gives

y = 1/3(log(x + 4)) + 1

When stretched horizontally by 3, we have:

y = 1/3(log(x/3 + 4)) + 1

Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>The transformation of function f(x)</h3>

We have:

f(x) = log[-(x – 5)] + 4

Set the radicand greater than 0

-(x - 5) > 0

Divide by -1

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x < 5 -- this represents the domain

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1 year ago

F.ree POINTS! . . .. ..

Xelga [282]

Answer:
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i hope you have a good day/night

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2 years ago

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Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar

Alla [95]

Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
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= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
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3 years ago

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kvv77 [185]

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2 years ago

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