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2 years ago

What is the exponential form of the logarithmic equation? 4=log0.8 0.4096

1 answer:

6 0

The exponential form of this equation is "0.8⁴ = 0.4096 ".

Now, in this logarithm equation the base of the log is 0.8.
when we convert this equation to exponential form 0.8 will go to left side, 4 moved up and became the exponent of 0.8 and thus it makes the exponential equation;
4=log₀.₈ 0.4096 <span>logarithmic equation

0.8</span>⁴ = 0.4096 exponential form

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If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that the amount of the cucumber follows the normal

lorasvet [3.4K]

Answer:

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability is $P(Z > 2.5 ) = 0.0062097$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 800$

The variance is $var(x) = 1600 \ kg$

The range consider is $x_1 = 778 \ kg \ x_2 = 834 \ kg$

The value consider in second question is $x = 900 \ kg$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{var (x)}$

substituting value

$\sigma = \sqrt{1600}$

$\sigma = 40$

The percentage of a cucumber give the crop amount between 778 and 834 kg is mathematically represented as

$P(x_1 < X < x_2 ) = P( \frac{x_1 - \mu }{\sigma} < \frac{X - \mu }{ \sigma } < \frac{x_2 - \mu }{\sigma } )$

Generally $\frac{X - \mu }{ \sigma } = Z (standardized \ value \ of \ X)$

$P(x_1 < X < x_2 ) = P( \frac{778 - 800 }{40} < Z< \frac{834 - 800 }{40 } )$

$P(x_1 < X < x_2 ) = P(z_2 < 0.85) - P(z_1 < -0.55)$

From the z-table the value for $P(z_1 < 0.85) = 0.80234$

and $P(z_1 < -0.55) = 0.29116$

$P(x_1 < X < x_2 ) = 0.80234 - 0.29116$

$P(x_1 < X < x_2 ) = 0.51118$

The percentage is

$P(x_1 < X < x_2 ) = 51.1 \%$

The probability of cucumber give the crop exceed 900 kg is mathematically represented as

$P(X > x ) = P(\frac{X - \mu }{\sigma } > \frac{x - \mu }{\sigma } )$

substituting values

$P(X > x ) = P( \frac{X - \mu }{\sigma } >\frac{900 - 800 }{40 } )$

$P(X > x ) = P(Z >2.5 )$

From the z-table the value for $P(Z > 2.5 ) = 0.0062097$

7 0

3 years ago

Hoodies were on sale for 20% off of the original price. Hyde bought a hoodie on sale that had an original price of $74.00. The s

Georgia [21]

20% off means u r paying 80%

0.80(74) = 59.20 (without tax)

sales tax is 6.25%...
59.20 + 0.0625(59.20) = 59.20 + 3.70 = $ 62.90 <==with tax included

4 0

3 years ago

Read 2 more answers

A license plate consists of two letters followed by two digits; for example, $MP78$. Neither the digits nor the letters may be r

alex41 [277]

If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as n $C_{r}$ =n!/r!(n-r)!

Number of license plates=26 $C_{1}$ *25 $C_{1}$

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Learn more about combinations at brainly.com/question/11732255

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3 0

10 months ago

A. What is 45/56 simplified?

dimulka [17.4K]

Answer:

Below in bold.

Step-by-step explanation:

In each case you divide top and bottom by the GCF.

A. The GCF of 45 and 56 is 1.

so the answer is 45/56.

B. 15/16 (GCF = 1)

C. Here the GCF is 5 so the answer is (35/5) / (80/5)

= 7/16.

D. 5/6 (GCF is 4).

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2 years ago

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Consider the equation: x^2 = - 8x - 7

Airida [17]

Answer: The expression is not factorable with rational numbers.

Step-by-step explanation:

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2 years ago

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