The coordinates of point Y is (-10,5). The midpoint of XY is (3,-5). Find the coordinates of point X

According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report

lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0

2 years ago

What is the equation of this trend line?<br> RE<br> Enter your answers b y filling in the boxes.

Deffense [45]

Answer:

$K=-2J+28$

Step-by-step explanation:

step 1

Find the slope of the line

The formula to calculate the slope between two points is equal to

$m=\frac{k2-k1}{j2-j1}$

we have the points

(2,24) and (6,16)

substitute in the formula

$m=\frac{16-24}{6-2}$

$m=\frac{-8}{4}$

$m-2$

step 2

Find the equation of the line in slope intercept form

$K=mJ+b$

we have

$m=-2$

$b=28$ ----> the k-intercept is the point (0,28) see the graph

substitute

$K=-2J+28$

7 0

2 years ago

Which equation represents this statement : Kate weighs 3 times as much as Jen their total weight is 140 pounds how much does eac

Monica [59]

Kate weighs 105 and Jen weighs 35

3 0

3 years ago

How do I solve this twice the difference of a number and seven is less than or equal to forty

max2010maxim [7]

2 * (x-7) <= 40

x<=27

4 0

2 years ago

Read 2 more answers

2. It is well known that astronauts increase their height in space missions because of the lack of gravity. A question is whethe

Rama09 [41]

Answer:

a) $\bar d = \frac{12.6 +14.4 +14.7 +14.5 +15.2 +13.5}{6}=14.15$

b) $ME=2.57 \frac{0.940}{\sqrt{6}}=0.986$

c) $14.15 - 2.57 \frac{0.940}{\sqrt{5}}=13.164$

$14.15 + 2.57 \frac{0.940}{\sqrt{5}}=15.136$

The 95% confidence interval is given by (13.164.15.136)

Step-by-step explanation:

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".

Part a

12.6 14.4 14.7 14.5 15.2 13.5.

Assuming that the men in this study are representative of the population of all men, what is an estimate of the population mean increase in height after three full days in bed?

For this case the best estimate for the mean is the average given by this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

For our case we are taking differences so would be the mean of differences and we got:

$\bar d = \frac{12.6 +14.4 +14.7 +14.5 +15.2 +13.5}{6}=14.15$

Part b

Assuming 95 % of confidence level. In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . The degrees of freedom are given by: