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Elodia [21]
3 years ago
5

What is the value of the power a if 5^a = 1/25?

Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

When a number is raised to a power it is multiplied by itself so the number gets larger. Because the answer is a fraction, this means the power is a negative value.

Find the number 5 has to be raised to be 125 and then make is negative:

5 x 5 x 5 =125

The answer would be a = -3

You might be interested in
A graduate school entrance exam has scores that are normally distributed with a mean of 560 and a standard deviation of 90. What
9966 [12]

26.8% of examinees will score between 600 and 700.

This question is based on z score concept.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

z={x-\mu  \over \sigma }

where:

μ is the mean

σ is the standard deviation of the population

Given:

μ = 560

σ = 90

For

600≤ X≤700

for x = 700

Z score =x - μ/σ

=(700 - 560)/90

      = 1.55556

P-value from Z-Table:

P(560<x<700) = P(x<700) - 0.5 = 0.44009

for x = 600

Z score =x - μ/σ

=(600 - 560)/90

      = 0.44444

P-value from Z-Table:

P(560<x<600) = P(x<600) - 0.5 = 0.17164

∴ P(600<x<700) = P(560<x<700) - P(560<x<600)

                           = 0.44009 - 0.17164

                          =0.26845

∴26.8% percentage of examinees will score between 600 and 700.

Learn more about Z score here :

brainly.com/question/15016913

#SPJ4

4 0
1 year ago
works as a florist and worked 12 hours last week and earned $98. At that rate, how much will she earn this weekend if she works
kotykmax [81]

Answer:

$114.3

Step-by-step explanation:

Number of hours worked last week  = 12hrs

Amount earned for her work hours = $98

 The rate at which she earned =  ?

        Rate = \frac{amount earned }{total work hour}  

        Rate  = \frac{98}{12}    = $8.17/hr

Now;

Since the total hours she worked during the weekend  = 14hrs

  Amount earned  = $8.17/hr   x 14hrs   = $114.3

7 0
2 years ago
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

4 0
2 years ago
An analyst must decide between two different forecasting techniques for weekly sales of roller blades: a linear trend equation a
Amiraneli [1.4K]

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Mean Absolute Deviation MAD

MAD = \sum_{i=1}^{n} \frac{\left | actual_{i}-forecast_{i} \right |}{n}

Mean squared error  

MSE=\Sigma^{n}_{i=1} \frac{(Actual_i - Forecast_i)^2}{(n - 1)}

linear trend equation is Ft = 124 + 2t

MAD = \frac{23}{10} = 2.3\\\\MSE = \frac{91}{9}= 10.11\\\\

Naive method

MAD = \frac{36}{9} = 4\\\\MSE = \frac{202}{8}=25.25\\\\MAD (Naive) = 4\\\\MAD (Linear) =2.3\\\\MSE (Naive)=25.25\\\\MSE (Linear)=10.11\\\\

Please find the attached file.

7 0
3 years ago
Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40
Taya2010 [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

3 0
3 years ago
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