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2 years ago

Find the percent of increase or decrease. Round to the nearest tenth of a percent where necessary.

Mathematics

2 answers:

Umnica [9.8K]2 years ago

8 0

Answer:

Step-by-step explanation:

bro i dont know sory

Andre45 [30]2 years ago

7 0

Answer:

The number increased by 25%.

Step-by-step explanation:

If you divide 32 into 40 (40 / 32), it will get you 1.25.

Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.

0.25 is a 25% increase

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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

2 years ago

A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance f

denis23 [38]

Step-by-step explanation:

The distance from the surfer to the shoreline will be found as follows:

tan θ= opposite/adjacent

θ=10°

opposite=7ft

adjacent= x ft

substituting the values in our formula and solving for x we get

tan 10=7/x

hence

x=7/tan10

x=39.69897~ 39.7 ft

The surfer is 39.7 ft from the shoreline.

6 0

2 years ago

Read 2 more answers

You have $65 to spend on party favors. On the internet, you find visors that cost that cost $6 each. The shipping and handling c

olchik [2.2K]

Answer:

10 visors

Step-by-step explanation:

Make an equation

Each visor, v costs $6, and there is a $5 fee regardless of the amount of visors purchased. This must be equal to $65

6v+5=65

Now, solve for v

Subtract 5 from both sides

6v=60

Divide both sides by 6

v=10

You can buy 10 visors

6 0

3 years ago

Read 2 more answers

A.118<br> B.242<br> C.180<br> D.149

Scrat [10]

Answer:

Step-by-step explanation: First find angle 2. 180-59= 121 angle 1 and 2 are equal so their sum must be

242

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3 years ago

Karen is riding her bike at 4 miles per hour she wants to show this on a graph what should she draw

astraxan [27]

Graph needs to be labeled. I labeled it as shown on picture. It also needs a title. The title can be up to you. :) you can title it “Karen riding her bike”

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3 years ago