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2 years ago

Two numbers are randomly selected on a number line numbered from 1 to 9. Match each scenario to its probability.

Mathematics

2 answers:

Talja [164]2 years ago

5 0

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

the probability that both numbers are greater than 6 if the same number can be chosen twice--> 3/9 * 3/9 = 1/9

the probability that both numbers are less than 7 if the same number can be chosen twice --> 6/9 * 6/9 = 4/9

the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice --> 3/9 * 2/8 = 1/12

the probability that both numbers are even numbers if the same numbers cannot be chosen twice --> 4/9 * 3/8 = 1/6

maxonik [38]2 years ago

4 0

Answer:

1/9; 4/9; 1/12; 1/6

Step-by-step explanation:

greater than 6 not chosen twice = 1/12

greater than 6 can be twice = 1/9

Less than 7 and can be chosen twice = 4/9

both are even but cannot be chosen twice =1/6

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You want to test the effects of water aerobics on resting heart rate. You decide to test two different levels of exercise (water

DochEvi [55]

Answer:

The correct option is;

A). Randomized block design

Step-by-step explanation:

In a randomized block design the experimental units or subjects of the experiment are separated into subgroups known as blocks with the property that the the variability (difference) of the parameters within the blocks are lesser than the variability between block, such that the treatment of the research or experiment are assigned differently to each block

The groups can therefore comprise of the following;

Group 1

15 men and 15 women to perform water aerobics for 30 minutes twice a week

Group 2

15 men and 15 women to perform water aerobics for 60 minutes once a week

Therefore, the effect of the experiment will be much less attributed to gender than to the durations of the water aerobic exercise.

5 0

2 years ago

If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

$y''=-\frac{2+(-\frac{2x}{y})^2}{y}$

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

2 years ago

Draw a bar model that shows how the number of hours in March compares with the number of hours in February of this year.

gogolik [260]

Okay so first we need to find how many days are in March and February. March has 31 days and because this year was a leap year February has 29 days.

The next step is to convert days to hours.
March: 31x24=744
February: 29x24=696

Now its time to graph