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o-na [289]
2 years ago
9

Problem Find the solution set of the inequality \qquad12-6x > 24.12−6x>24.

Mathematics
1 answer:
alukav5142 [94]2 years ago
7 0

Answer:

6>18.12>24

Since the inequality can never be true, there is no solution.

Step-by-step explanation:

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If you pay for $25.00 for purchase which includes 11% sales tax. how much is the sales tax?
Delvig [45]
Since it includes 11% sales tax, this means that (purchase)+11% of (purchase)=25.00. Since 11% = 0.11 by multiplying it by 1/100, we have 1*purchase+0.11*purchase=1.11*purchase=25.00. Dividing both sides by 1.11, we get around 22.73 as the original purchase. This means that the difference between the purchase price and the total price is the sales tax, which is around 2.27 dollars.

Feel free to ask further questions!
5 0
3 years ago
Read 2 more answers
If ABC = DEC,<br> B= 44º and E= 4x<br> x= [?]
kolezko [41]

Value of x is 11

Step-by-step explanation:

  • Step 1: Find x when ΔABC ≅ ΔDEC.

When these two triangles are congruent, their corresponding angles and sides will be equal.

⇒ ∠B = ∠E

⇒ 44° = 4x

∴ x = 44/4 = 11

5 0
3 years ago
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During a film festival, the first film ticket is priced at $16, and each additional ticket is $11. if Rico spends $71, then how
ArbitrLikvidat [17]
Rico purchased a total of 6 tickets.
7 0
3 years ago
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Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
Express in scientific notation. Make sure your answer has the same number of significant figures as the starting value.
Elenna [48]

Answer:

1.325 x 10 -2

Step-by-step explanation:

That is the answer and I know 100% that it is correct

7 0
3 years ago
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