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balu736 [363]
3 years ago
7

Mr. Ramos invests $500 at a simple interest rate of 6%. How much interest will he earn in six months?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0
Hope this helps. Answer will be on the image.

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Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
Describe the key features of polynomial function
Oksi-84 [34.3K]

Answer:

Zeros: x = 1 , − 2 , 2 End Behavior: Falls to the left and rises to the right.

Y-intercept: (0,4)

Step-by-step explanation:

mark me brainliest

3 0
3 years ago
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the
IrinaVladis [17]

Answer:

Step-by-step explanation:

A) 16.13 = 12(1.03)ⁿ

   1.344 = (1.03)ⁿ

ln(1.344) = n(ln(1.03))

           n = (ln(1.344)) / ln(1.03)

           n = 10.0062...

so a domain of 0 ≤ n ≤ 10 is reasonable

B) y-intercept is the height of the plant on day 0 which would be 12 cm

C) f(3) = 12(1.03)³ = 13.11 cm

average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7

= 0.43 cm/day  or average growth per day

8 0
3 years ago
2.8×10 to the -3 power minus 0.00065
Bas_tet [7]

Answer:

the answer is 3.37723077E13

Step-by-step explanation:

4 0
3 years ago
Write an equation for the table 2 5 5.6 14 7 17.5 8 20
vova2212 [387]

The equation for the table is y = 2.5 x

Step-by-step explanation:

The table is:

  • x  →  2    :    5.6    :    7    :    8
  • y  →  5    :    14      :  17.5  :    20

Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates

∵ \frac{14-5}{5.6-2}=\frac{9}{3.6}=2.5

∵ \frac{17.5-14}{7-5.6}=\frac{3.5}{1.4}=2.5

∵ \frac{20-17.5}{8-7}=\frac{2.5}{1}=2.5

∴ The rate of change between each two points is constant

∴ The table represent a linear equation

The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0

∵ m = 2.5

- Substitute it in the form of the equation

∴ y = 2.5 x + b

- To find b substitute x and y by the coordinates of any point

  in the table above

∵ x = 2 and y = 5

∴ 5 = 2.5(2) + b

∴ 5 = 5 + b

- Subtract 5 from both sides

∴ 0 = b

∴ y = 2.5 x

The equation for the table is y = 2.5 x

Learn more:

You can learn more about the linear equations in brainly.com/question/4326955

#LearnwithBrainly

5 0
3 years ago
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