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4 years ago

What is the range of the function f(x)=1/2sqrt of x ?

Mathematics

1 answer:

Makovka662 [10]4 years ago

8 0

Answer:

All real numbers greater than or equal to 0.

Step-by-step explanation:

x must be greater or equal to zero because there is no real square root of a negative number.

So the lowest value of the function is 0 and it can be any value greater than that.

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Periodically a bottling company gets complaints that their bottles are not holding enough liquid. To test this claim the bottlin

kompoz [17]

Answer:

The null hypothesis was not rejected at 1% and 5% level of significance, but was rejected at 10% level of significance.

Step-by-step explanation:

The complaints made by the customers of a bottling company is that their bottles are not holding enough liquid.

The company wants to test the claim.

Let the mean amount of liquid that the bottles are said to hold be, μ₀.

The hypothesis for this test can be defined as follows:

H₀: The mean amount of liquid that the bottles can hold is μ₀, i.e. μ = μ₀.

Hₐ: The mean amount of liquid that the bottles can hold is less than μ₀, i.e. μ < μ₀.

The p-value of the test is, p = 0.054.

Decision rule:

The null hypothesis will be rejected if the p-value of the test is less than the significance level. And vice-versa.

Assume that the significance level of the test is, α = 0.01.

The p-value = 0.054 > α = 0.01.

The null hypothesis was failed to be rejected at 1% level of

significance. Concluding that the mean amount of liquid that the

bottles can hold is μ₀.

Assume that the significance level of the test is, α = 0.05.

The p-value = 0.054 > α = 0.05.

The null hypothesis was failed to be rejected at 5% level of

significance. Concluding that the mean amount of liquid that the

bottles can hold is μ₀.

Assume that the significance level of the test is, α = 0.10.

The p-value = 0.054 < α = 0.10.

The null hypothesis will be rejected at 10% level of

significance. Concluding that the mean amount of liquid that the

bottles can hold is less than μ₀.

5 0

3 years ago

Please teach me on how to answer this question. (addmath question)

arsen [322]

We know that $\overline{x}=8$ so:

$\overline{x}=8\\\\\\\dfrac{\sum\limits_{k=1}^7\,x_k}{7}=8\qquad|\cdot7\\\\\\ \boxed{\sum\limits_{k=1}^7\,x_k=56}$

We want to calculate:

$\sum\limits_{k=1}^7\,\big(2x_k-3\big)^2=\sum\limits_{k=1}^7\,\big(4x_k^2-12x_k+9\big)=\\\\\\=\sum\limits_{k=1}^7\,4x_k^2-\sum\limits_{k=1}^7\,\big12x_k+\sum\limits_{k=1}^7\,9=4\sum\limits_{k=1}^7\,x_k^2-12\sum\limits_{k=1}^7\,x_k+\sum\limits_{k=1}^7\,9=\\\\\\=4\cdot672-12\cdot56+7\cdot9=2688-672+63=\boxed{2079}$

5 0

3 years ago

Please help me to find the %

Viktor [21]

1.068 * 60 - 18.39 =?

8 0

3 years ago

Help will mark brainliest!

BaLLatris [955]

a) The compound interest equation is $C = 4250 \cdot 0.9675^{t}$ .

b) There is an approximate loss of $ 987.16.

c) The stock will take approximately 12.979 to decrease by half.

<h3>How to find stock losses by compound interest model</h3>

Compound interest model represents the gain of a deposit as a function of the number of periods and initial amount. The model is represented below:

$C = C_{o}\cdot (1+r)^{t}$ (1)

Where:

$C_{o}$ - Initial capital, in monetary units.
$r$ - Interest rate.
$t$ - Period number.
$C$ - Current capital, in monetary units.

Capital decreases in time when interest rate is a negative number. The equation that models the situation is $C = 4250 \cdot 0.9675^{t}$ and the current capital after eight years is:

C = 4250 · 0.9675⁸

C = 3262.84

That represents an approximate loss of $ 987.16.

And the number of periods required to decrease the capital by half is:

$2125 = 4250 \cdot 0.9675^{t}$

$0.5 = 0.9675^{t}$

㏒ 0.5 = t · log 0.9675

t ≈ 20.979

The stock will take approximately 12.979 to decrease by half.

To learn more on compound interest: brainly.com/question/14295570

#SPJ1

6 0

2 years ago

A number cube lands showing an odd number it is rolled a second time and lands showing 6

denis-greek [22]

Ain’t dis probability

3 0

4 years ago