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1 year ago

36. Salma has a salary of 6.2 x 10 to the power of 4 dollars per year. Carter has a salary of

Mathematics

1 answer:

ElenaW [278]1 year ago

3 0

Carter's salary is $1.1138⁶ more than Salma's salary.

<h3>How much larger is Carter's salary than Salma's?</h3>

To perform the difference, we need to be able to take a common factor.

We know that Salma's salary is $6.2×10⁴

While Carter's salary is $1.2×10⁶

To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:

$1.2*10^6*\frac{100}{100} = (1.2*100)*(10^6/100) = 120*10^4$

Then Carter's salary is $120*10⁴

The difference between Carter's and Salma's salaries is:

$120*10⁴ - $6.2×10⁴ = $113.8*10⁴

If we return to the scientific notation, we get:

$113.8*10⁴ = $1.1138⁶

This means that Carter's salary is $1.1138⁶ more than Salma's salary.

If you want to learn more about scientific notation:

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There are three apple orchards. Each orchard has a different number of trees and apples.

Assoli18 [71]

Answer:

A. The #1 Seed

Step-by-step explanation

To find the answer you find the rate of one apple tree to # of apples. you do this by dividing the # of apples from the orchard by the apple trees and whichever has the highest rate of Apples to Trees is the answer which would be The #1 Seed.

4 0

3 years ago

HELP ILL GIVE U BRAINLESS I NEED THIS ANSWER FAST! I’ll make u art tol

lapo4ka [179]

1: 80% The reason why is because if you do 4/5, you get .80, move the decimals to places to the right, and you get 80%

2: 95% Process of Elimination, and Educated Guess.

3: 33 1/3% If you do 50/150, you get 0.33333... Like I said, move the decimal point two places to the right, and you get 33.33...%

<em>I hope this helps, and Happy Holidays! :)</em>

4 0

2 years ago

We have two fair three-sided dice, indexed by i = 1, 2. Each die has sides labeled 1, 2, and 3. We roll the two dice independent

Bogdan [553]

Answer:

(a) P(X = 0) = 1/3

(b) P(X = 1) = 2/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

(b) P(Y = 1) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 denotes the number you get for rolling 1st die.

- Random Variable X_2 denotes the number you get for rolling 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

- First we will develop a probability distribution of X such that it is defined by the difference of second and first roll of die.

- Possible outcomes of X : { - 2 , -1 , 0 ,1 , 2 }

- The corresponding probabilities for each outcome are:

( X = -2 ): { X_2 = 1 , X_1 = 3 }

P ( X = -2 ): P ( X_2 = 1 ) * P ( X_1 = 3 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

( X = -1 ): { X_2 = 1 , X_1 = 2 } + { X_2 = 2 , X_1 = 3 }

P ( X = -1 ): P ( X_2 = 1 ) * P ( X_1 = 3 ) + P ( X_2 = 2 ) * P ( X_1 = 3)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 0 ): { X_2 = 1 , X_1 = 1 } + { X_2 = 2 , X_1 = 2 } + { X_2 = 3 , X_1 = 3 }

P ( X = -1 ):P ( X_2 = 1 )*P ( X_1 = 1 )+P( X_2 = 2 )*P ( X_1 = 2)+P( X_2 = 3 )*P ( X_1 = 3)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 3 / 9 ) = ( 1 / 3 )

( X = 1 ): { X_2 = 2 , X_1 = 1 } + { X_2 = 3 , X_1 = 2 }

P ( X = 1 ): P ( X_2 = 2 ) * P ( X_1 = 1 ) + P ( X_2 = 3 ) * P ( X_1 = 2)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 2 ): { X_2 = 1 , X_1 = 3 }

P ( X = 2 ): P ( X_2 = 3 ) * P ( X_1 = 1 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

- The distribution Y = X_2,

P(Y=0) = 0

P(Y=1) = 1/3

P(Y=2) = 1/ 3

- The probability for each number of 3 sided die is same = 1 / 3.

7 0

2 years ago

A ball is launched from a 682.276 meter tall platform. the equation for the ball's height h at time t seconds after launch is h(

blagie [28]

The maximum height the ball achieves before landing is 682.276 meters at t = 0.

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a function:

h(t) = -4.9t² + 682.276

Which represents the ball's height h at time t seconds.

To find the maximum height first find the first derivative of the function and equate it to zero

h'(t) = -9.8t = 0

t = 0

Find second derivative:

h''(t) = -9.8

At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.

Maximum height at t = 0:

h(0) = 682.276 meters

Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.

Learn more about the maxima and minima here:

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4 0

1 year ago

What is the equation of the line that has a slope of -2 and passes through the point (1,2)

vodka [1.7K]

Y=2x+2
(y=mx+c
m-slope/gradient
c-y intercept)

6 0

2 years ago