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3 years ago

12

The width of DNA is approximately 0.0000000025 meter wide. In scientific notation, 6 times the width of DNA can be written as 1.

5 x 10 meter.
What is the value of x?

1 answer:

Reptile [31]3 years ago

8 0

The value of x is 15.0

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PLEASE HELP QUICK<br> What is the slope-intercept form of the linear equation 2x + 3y = 6?

Salsk061 [2.6K]

Answer:

y = - $\frac{2}{3}$ x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2x + 3y = 6 into this form

subtract 2x from both sides

3y = - 2x + 6 ( divide all terms by 3 )

y = - $\frac{2}{3}$ x + 2 ← in slope-intercept form

7 0

3 years ago

Read 2 more answers

Find the upper quartile of the given data below:<br> <br> 11, 8, 5, 4, 7, 6, 9, 10, 12

JulijaS [17]

Answer:

9.5

Step-by-step explanation:

1. Arrange in ascending order

4 5 6 7 8 9 10 11 12

2. Upper Quartile formula:

3×(N+1)÷4

3. Number of terms (N) = 9

4. Apply:

3×(9+1)/4

=3×10/4

=30/4

=7.5th term

5. 7.5th term is the average of the 7th and the 8th term so

Take average

7th term is 9 and 8th term is 10

6. Find average of 9 and 10 = 9.5

7. ANSWER : THE UPPER QUARTILE IS 9.5 FOR THE GIVEN DATA

7 0

3 years ago

The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

valentina_108 [34]

Answer:

Marina, Wuhan center, Zifeng Tower , Shangai Tower

Step-by-step explanation:

Using the z-scores of the Shangai tower and the Marina, we can calculate their heights

Mathematically, the z-score or standard score can be calculated as follows

Zscore = X - μ/σ

where σ and μ represents the standard deviation and the population mean respectively.

For Shaghai Tower ;

1.27 = (X - 1667.25)/318.31

318.31 × 1.27 = X - 1667.25

404.25 = X - 1667.25

X = 1667.25 + 404.25 = 2071.50

The height of the Shaghai Tower is 2071.50 feet

For Marina, we use the same procedure;

-0.84 = (X - 1667.25)/318.31

318.31 × -0.84 = X - 1667.25

-267.38 = X - 1667.25

X = 1667.25 - 267.38 = 1399.87

The height of Marina building is 1399.87

Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower

The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.

Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean

6 0

3 years ago

When the new principal on a loan is $79,946.13 and the interest rate is 8 percent, the monthly payment is $587.20. Find the inte

lesya [120]

9514 1404 393

Answer:

to interest: $532.97
to principal: $54.23
new balance: $79,891.90

Step-by-step explanation:

The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.

$79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year

= $532.97

The interest amount in the first payment is $532.97.

__

The amount of the first payment that goes to principal is what is left after the interest is paid:

$587.20 -532.97 = $54.23 . . . amount to principal

__

The new balance is the previous balance less the amount to principal:

$79,946.13 -54.23 = $79,891.90 . . . new balance

7 0

3 years ago

Use the drawing tool(s) to form the correct answer on the provided graph.

Kitty [74]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y> \frac{1}{4}x+6$ ------>inequality A

The solution of the inequality A is the shaded area above the dashed line $y=\frac{1}{4}x+6$

The y-intercept of the dashed line is (0,6)

The x-intercept of the dashed line is (-24,0)

The slope of the dashed line is positive m=1/4

$y> 2x-1$ ------>inequality B

The solution of the inequality B is the shaded area above the dashed line $y=2x-1$

The y-intercept of the dashed line is (0,-1)

The x-intercept of the dashed line is (0.5,0)

The slope of the dashed line is positive m=2

The solution of the system of inequalities is the shaded area between the two dashed lines

using a graphing tool

see the attached figure

4 0

3 years ago