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raketka [301]
3 years ago
9

2x^2+15x+2=0 Need the answers for the two x's that are equal to 0

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
6 0

Answer:

x = -2

Step-by-step explanation:

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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
A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Kate wants to buy two shirts pric
siniylev [52]

Answer:

$32.3

Step-by-step explanation:

First write 30% in the decimal form

30/100 = 0.3

than the equation written in the form

x = 19 + (19 - 0.3× 19)

x = 19 + ( 19 - 5.7)

x = 19 + 13.3

x =$ 32.3

So, Kate will pay $32.3

5 0
2 years ago
I need to 2,4,6,8 <br> But please send me the work too
Ugo [173]

ok for number 2.)   2+8+1+5+1+3+1+7+5+4+3+1=41 and 41 divided by the number of number which is 12= 3.41666666667

the mean for number 2 is 3.41666666667.

for the median you put the number from least to greatest, like so:

1, 1, 1, 1, 2, 3, 3, 4, 5, 5, 7, 8.

The middle is 3 and 3 so 3+3 divided by 2 is 6 so the median is 6.

I cant do mode but range is 8-1 divided by 2

4 0
3 years ago
Help Find the lateral area of this pyramid whose base is an equilateral triangle. Its slant height is 14 ft and the length of ea
kenny6666 [7]

Answer:

168 ft²

Step-by-step explanation:

The equation for the lateral area of a square pyramid is LA = (Pl/2)

Plug in the values LA = (24(14)) / 2

LA = 336/2

LA = 168 ft²

8 0
3 years ago
Find the geometric mean of four and 10
lawyer [7]

The Geometric mean of 4 and 10 is 6.32

<u>Explanation:</u>

Given:

Two numbers are 4 and 10

Geometric mean, GM = ?

We know,

GM = \sqrt[n]{a_1 X a_2}

Where,

n = 2

Substituting the value we get"

GM = \sqrt[2]{4 X 10} \\\\GM = \sqrt[2]{40} \\\\GM = 6.32

Thus, the Geometric mean of 4 and 10 is 6.32

4 0
3 years ago
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