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polet [3.4K]
3 years ago
11

What is the answer to a+a-7=2a-8+1

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
3 0
The answer is 66 cause his hgivd jcunxf us to get the
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27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8
Mariulka [41]

Answer:

x = -8

Step-by-step explanation:

Given the equation:

27^x=9^{x-4}

Note that

27=3^3\\ \\9=3^2,

then

27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}

Rewrite the equation as

3^{3x}=3^{2(x-4)},

then

3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8

4 0
3 years ago
In the 1980’s, a clinical trial was conducted to determine if taking an aspirin daily reduced the incidence of heart attacks. Of
zubka84 [21]

There is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Given sample size of patients take aspirin 11037, sample size of patients who have assigned placebo group be 11034. 104 doctors who take aspirin had a heart attack, 189 doctors had placebo had heart attacks.

First we have to form hypothesis.

H_{0} :p{1} -p_{2} =0

H_{1}:p_{1} -p_{2} < 0

We have to find the respective probabilities.

p_{1}=104/11037

=0.0094

p_{2}=189/11034

=0.0171

Now their respective margin of errors.

s_{1}=\sqrt{ {(0.0094*0.9906)/11037}

=0.0009

s_{2}=\sqrt{0.0171*0.9829}

=0.0011

Hence the distribution of the differences,they are given by:

p=p_{1} -p_{2}

=0.0094-0.0171

=-0.0077

S=\sqrt{s_{1} ^{2}+s_{2} ^{2}  }

=\sqrt{(0.0009)^{2} +(0.0011)^{2} }

=0.00305

z=(p -f)/S (In which f=0 is the value tested at the null hypothesis)

=(-0.0077-0)/0.00305

=-2.52

p value will be 0.005.

p value of 0.05 significance level.

z=1.96.

1.96>0.005

So we will reject the null hypothesis which means it cannot reduce the whole chance of becomming a heart attack.

Hence there is enough evidence to conclude that taking aspirin cannot  reduces the chance of cancer.

Learn more about t test at brainly.com/question/6589776

#SPJ4

6 0
2 years ago
1. Which is the best definition of a proper fraction?
Tju [1.3M]

Answer:

<em>C. A Fraction whose Numerator is smaller than the denominator</em>

Step-by-step explanation:

<u><em>A proper fraction is a fraction whose numerator is smaller than its denominator.</em></u>

<u><em> An improper fraction is a fraction whose numerator is equal to or greater than its denominator. </em></u>

Example:

<em>3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.</em>

3 0
3 years ago
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
gulaghasi [49]

Answer:

12 sales

Step-by-step explanation:

7 0
3 years ago
Guadalupe is making a project for shop class. He has four pieces of
ipn [44]

Answer: The piece of wood will be 23.2 in. long

Step-by-step explanation:

5.8 multiplied by 4 is 23.2

8 0
3 years ago
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