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svp [43]
3 years ago
10

Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m​

Mathematics
1 answer:
tatiyna3 years ago
4 0

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

(-\frac{3}{4}) ^{-4} × (-\frac{3}{4}) ^{-11} = (-\frac{3}{4}) ^{m} , that is

(-\frac{3}{4}) ^{(-4-11)} = (-\frac{3}{4}) ^{m}

(-\frac{3}{4}) ^{-15} = (-\frac{3}{4}) ^{m}

Equating exponents gives

m = - 15

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erastovalidia [21]

Answer:

Step-by-step explanation:

The formula you should use is

b = 7 * h

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Let h = 3

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3 0
2 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
AveGali [126]

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 15 \ months

   The sample size is  n =  25

   The sample mean is  \= x  = 17 \ months

   The standard deviation is  s = 5.5 \ months

Let assume the level of significance of this test is  \alpha  = 0.05

    The null hypothesis is  H_o :  \mu = 15

     The alternative hypothesis is  H_a : \mu  > 17

Generally the degree of freedom is mathematically represented as  

         df = n -1

=>       df = 25 -1

=>       df = 24

Generally the test statistics is mathematically represented as

        t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }

=>   t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }

=>   t =  1.8182

Generally from the student t distribution table the probability of obtaining   t =  1.8182 to the right of the curve at a degree of freedom of df = 24  is  

    p-value  = P(t > 0.18182 ) = 0.4286

From the value obtained we see that  p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

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2 years ago
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Answer:

the answer is 2279.35

Step-by-step explanation:

its on the smartest app

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3 years ago
How do I graph the linear equation of y=x+2
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Replace ‘x’ with what ever number and then add 2, because if you make x a 1 then you would get a three. the equation goes from (x+2)=y to (1+2)=3 so make x whatever you want and then add 2 and you’ll get your ‘y’
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3 years ago
Emerson has $120. Each week, he saves an additional $15. Write a function f(x) that models the total amount of money Emerson has
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Answer:

f(x) = 120 + (15 * x)


3 0
3 years ago
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