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2 years ago

Help, please!! Simplify the equation:

Mathematics

2 answers:

MissTica2 years ago

8 0

-6+12x have a great day :)

BaLLatris [955]2 years ago

5 0

Answer:

-6 + 12x

Explanation:

Good luck. Have a great day.

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(k+1)(k-5)=0 find for 0

Tems11 [23]

K=-1 or k=5

either quantity could equal zero, so put each quantity equal to zero and solve for k.

hope this helps :)

6 0

4 years ago

Please help me with this

drek231 [11]

Answer:

100 in²

Step-by-step explanation:

Since the figures are similar

the linear ratio of sides = a : b , then

ratio of areas = a² : b²

ratio of sides = 15 : 21 = 5 : 7

ratio of areas = 5² : 7² = 25 : 49

let the area of the smaller figure be x then by proportion

$\frac{25}{x}$ = $\frac{49}{196}$ ( cross- multiply )

49x = 4900 ( divide both sides by 49 )

x = 100

Area of smaller figure is 100 in²

7 0

3 years ago

Francine is playing a board game with her friends. She needs to roll two dice

damaskus [11]

10/12 = 5/6 probability that she will not win on the next roll

5 0

3 years ago

Read 2 more answers

An ion channel can be in either open (O) or closed (C) states. If it is open, then it has probability 0.1 of closing in 1 micros

iragen [17]

Answer:

a) P (COO) = 0,135

b) P ( SISI) = 0,00015

Step-by-step explanation:

a) the probability of an ion channel in open position is 50 % 0,5

the probability of an ion channel in close position is 50 % 0,5

probability for the following sequence of states COO

to be closed 0,5 (C)

from (C) to pass to open 0,3 (O)

and to stay O is 0,9

Then the probability of the sequence of states COO is

P (COO) = 0,5 * 0,3 * 0,9

P (COO) = 0,135

b) If people are either infected or susceptible, then

Probability of an individual infected is 0,5

Probability of an individual susceptible is 0,5

to pass from susceptible to infected is 0,05

to pass from infected to susceptible is 0,12

then

P ( SISI) = 0,5 * 0,05*0,12*0,05

P ( SISI) = 0,00015

probability for the following sequence of states COO

4 0

3 years ago

The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families.

marishachu [46]

Answer:

a. Scatterplot is attached.

b. Positive Correlation

c. Correlation coefficient=0.9219

Step-by-step explanation:

The following procedure will be used to obtain the scatter plot

Open an Google Sheets file online or excel sheet on your computer.
In column B and C, enter the Income and Vacation data as provided above.
Select the data > click on insert CHART.
Chose Scatter Chart option

Click OK.

A scatter plot visualizing your data should be displayed as attached.

On your computer, open a spreadsheet in Google Sheets.
Double-click on your scatter plot.
At the right, click on Customize tab and then Series.
Scroll down and check the Trend line box

-From the trend line, your notice that your variables have a positive correlation.

-As the income increases, so does vacation expenditure.

c. The correlation coefficient can be calculated as follows.

Click on any empty cell in the sheet and enter the formula
"=CORREL((y-axis range),(x-axis range))"
ENTER

-From our Google Sheets calculation our variables have a positive correlation and the correlation coefficient is 0.9219

-The correlation coefficient,r can also be calculated manually:

-let x be income, and y be vacation and divide all the values by 100 to make the smaller and easier to manipulate:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2}}\\\\\\\sum xy=153914\\\sum x=4485\\\sum y=246\\\sum x^2=2878447\\(\sum x)^2=4485^2=20115225\\(\sum y)^2=246^2=60516\\\sum y^2=8392\\n=8\\\\\#substitute \ and \ solve \ for \ r\\\\=\frac{8\times153914-4485\times 246}{\sqrt{[8\times 2878447-4485^2][8\times 8392-246^2]}}\\\\=0.92186\\\\\approx 0.9219$

4 0

4 years ago