How is -2+3=1 and 3+ (-2) are similar and different?

M, N, and P divide AB into four equal parts. Prove that vector OP=1/4(vector OA+3*vectorOB) for any point O

Mademuasel [1]

Answer:d

Step-by-step explanation:

4 0

3 years ago

F. A bag contains 3 red, 4 blue, 3 green, and 5 yellow marbles. What is the probability of

umka21 [38]

Answer:

Step-by-step explanation:

you first add up the marbles together. 3 + 4 + 3 +.5 = 15. Then you take the amount of green marbles their are, and make a fraction: 3/15. Then you remove one without putting it back, which is green, so you have 1 less total and one less green marbles, and you turn that into a fraction: 2/14.

First Pick: 3/15 chance of getting green

Second Pick: 2/14 chance of getting green

Then. You divide the first number by the second one.

3 / 15 = 0.2

2 / 14 = 0.142

Then to turn into percentage you move the decimal over two spots and drop the 0 and add a percentage sign:

20%

14.2% (Round Up Percentage) 15%

Which means that:

20% Probabiltiy for first pick

15% Probability for second pick

____________________________________________________________ I hope this helps. If it is incorrect, comment that, and I will see what U messed up. I hope I helped. :D

3 0

3 years ago

Linda wants to buy 20 crayons. ToyWorld sells crayons at 4 for 25 cents, and GameLand sells crayons at 5 for 30 cents. Which of

Lemur [1.5K]

Answer: Game land sells 20 crayons for 5 cents less.

Step-by-step explanation:

Hi, to answer this question we have to calculate the price per crayon in each store, by dividing the amount paid in each case by the number of crayons that each store offers.

Toy world (T): 25/4 = 6.25 cents per crayon

Game land (G): 30/5 = 6 cents per crayon

Now, we have to multiply the cost per crayon by 20.

T=6.25 x 20 = 125 cents

G=6 x 20 =120 cents

So, comparing both costs, Game land sells 20 crayons for 5 cents less.

125-120 = 5 cents

8 0

3 years ago

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x + 7|?

jek_recluse [69]

Answer:

Graph of the function $y=|x+7|$ is translated 7 units to the left graph of the function $y=|x|.$

Step-by-step explanation:

If you are given the function $y=f(x),$ then the graph of the function

$y=f(x-a)$ is translated a units to the right graph of the function $f(x);$
$y=f(x+a)$ is translated a units to the left graph of the function $f(x);$
$y=f(x)+a$ is translated a units up graph of the function $f(x);$
$y=f(x)-a$ is translated a units down graph of the function $f(x).$

In your case, graph of the function $y=|x+7|$ is translated 7 units to the left graph of the function $y=|x|.$

8 0

3 years ago

Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week.

mezya [45]

Answer:

a) The 90% confidence interval would be given by (18.52;20.49)

b) The 95% confidence interval would be given by (18.32;20.68)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=19.5$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=5.2$ represent the population standard deviation

n=75 represent the sample size

2) Confidence interval 90%

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$19.5-1.64\frac{5.2}{\sqrt{75}}=18.515$

$19.5+1.64\frac{5.2}{\sqrt{75}}=20.485$

So on this case the 90% confidence interval would be given by (18.52;20.49)

3) Confidence interval 95%

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$19.5-1.96\frac{5.2}{\sqrt{75}}=18.323$

$19.5+1.96\frac{5.2}{\sqrt{75}}=20.677$

So on this case the 95% confidence interval would be given by (18.32;20.68)

5 0

3 years ago