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3 years ago

7

The difference of the squares of two positive consecutive even integers is 84. Find the integers. Use the fact that, if x repre

sents an even integer, then xplus2 represents the next consecutive even integer.

1 answer:

Art [367]3 years ago

7 0

Has gawd though of the letter a

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Will award brainiest!!

vagabundo [1.1K]

Answer:

The best estimate of the probability of getting a green marble from this bag of 50 marbles is 1/3.

Step-by-step explanation:

Andre gets 1 green marble out of 4 trials.

For Andre, the probability of getting 1 green marble is 1/4.

Jada gets 5 green marbles out of 12 trials.

For Jada, the probability of getting 1 green marble is 5/12.

Noah gets 3 green marbles out of 9 trials.

For Noah, the probability of getting 1 green marble is 3/9.

Hence, the best estimate of the probability of getting a green marble from this bag = (1/4 + 5/12 + 3/9)/3 = [(9 + 15 + 12)/36]/3 = 1/3.

3 0

1 year ago

(1 pt) In a study of red/green color blindness, 950 men and 2050 women are randomly selected and tested. Among the men, 89 have

Ivahew [28]

Answer: (0.066,0.116)

Step-by-step explanation:

The confidence interval for proportion is given by :-

$p_1-p_2\pm z_{\alpha/2}\sqrt{\dfrac{p_1(1-p_1)}{n_1}+\dfrac{p_2(1-p_2)}{n_2}}$

Given : The proportion of men have red/green color blindness = $p_1=\dfrac{89}{950}\approx0.094$

The proportion of women have red/green color blindness = $p_2=\dfrac{6}{2050}\approx0.003$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

Now, the 99% confidence interval for the difference between the color blindness rates of men and women will be:-

$(0.094-0.003)\pm (2.576)\sqrt{\dfrac{0.094(1-0.094)}{950}+\dfrac{0.003(1-0.003)}{2050}}\approx0.091\pm 0.025\\\\=(0.09-0.025,0.09+0.025)=(0.066,\ 0.116)$

Hence, the 99% confidence interval for the difference between the color blindness rates of men and women= (0.066,0.116)

4 0

3 years ago

I dont know how to do this,can someone please help me?

MakcuM [25]

So this problem is asking you to plug numbers in for t. 0 1 2 3 4 5. So your first equation would be 2× 0+8 and you would get 8 so for 0 toppings you would pay 8 dollars then graph this over 0 up 8. Next equation 2×1+8 is 10. Graph. over 1 up 10. Next 2×2+8 is 12. Graph. Over 2 up 12. next 2× 3 + 8 is 14. Graph. Over 3 up 14. Next 2×4+8 is 16 so over 4 up 16. Last 2×5+8 is 18 so over 5 up 18. Your Y-intercept is the dot that is on the y axis and in this problem that is 8. This means if you buy 0 toppings you will spend 8 dollars.

5 0

3 years ago

You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 oun

kvv77 [185]

Answer:

median

Step-by-step explanation:

The first step is to sort the numbers from largest to smallest (you could go the other way as well).

60 52 48 44 20 16 12

The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.

The mean is the average. We'll call it the new average

The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252

The new mean is 252 / 7 = 36

=====================

The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)

52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32

The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.

=======================

The median increased from 44 to 32 = 12

The mean went from 32 to 36 which is 4

Answer: the median increased more

3 0

2 years ago

Using the numbers 5, 8, and 24, create a problem using no more than 4 operations (adding, subtracting, multiplication, division,

nalin [4]

<span>√(5*8*24) or anything along those lines, you can switch the numbers around , it wont matter</span>

3 0

3 years ago