Lines/and n intersect, as shown below.

dimaraw [331]

Add 3.6 to both sides
-0.8≥1.6x
divide both sides by 1.6
-0.5≥x
x≤-0.5
so from -0.5, go to the left

that's the first graph

8 0

3 years ago

5>z-3 what does z equal????!!!! Plzzzz halp!!

Roman55 [17]

Solving the inequality $5>z-3$ we get $z$

Step-by-step explanation:

Solving the inequality: $5>z-3$

Solving:

$5>z-3$

Switching sides (converting > then to < than)

$z-3$

Adding 3 on both sides

$z-3+3$

So, solving the inequality $5>z-3$ we get $z$

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

8 0

3 years ago

A national college researcher reported that 65% of students who graduated from high school in 2012 enrolled in college. Twenty n

Usimov [2.4K]

Answer:

a) The probability that exactly 17 of them enroll in college is 0.116.

b) The probability that more than 14 enroll in college is 0.995.

c) The probability that fewer than 11 enroll in college is 0.001.

d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.

Step-by-step explanation:

We can model this with a binomial distribution, with n=29 and p=0.65.

The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\$

a) The probability that exactly 17 of them enroll in college is:

$P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\$

b) The probability that more than 14 of them enroll in college is:

$P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995$

c) Using the probabilities calculated in the point b, we have:

$P(X$

d) The probabilities that more than 24 enroll in college is:

$P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009$

6 0

3 years ago

1

Lubov Fominskaja [6]

Answer:

A

Step-by-step explanation:

8.5 x 8.5= 72.25

so basically it's the closest answer

7 0

3 years ago

Dr. Lee is hired as a consultant to design a survey to measure attitudes towards the death penalty. She must develop in the fast

-BARSIC- [3]

Answer:

The answer is Phone Surveys.

Step-by-step explanation:

We can say that there are 4 main types of survey methods and they are "In-Person Surveys", "E-mail Surveys", "Phone Surveys" and "Online Surveys".

In-Person Surveys are out of the question in the situation that is described because we need the fastest possible method.

E-mail Surveys and Online Surveys are at completed at a time that the other party chooses so we have no control over how fast we can get the results.

The fastest and best option we can use for the situation Dr. Lee's in is Phone Surveys because they are direct and give quick results over a short amount of time and they can be scheduled according to our needs.

I hope this answer helps.

3 0

3 years ago