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3 years ago

Need help with this question

Mathematics

1 answer:

Vaselesa [24]3 years ago

8 0

Answer: The surface area is 65 cm.

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HELP I RLLY NEED IT

Free_Kalibri [48]

Answer:

$\Large \textnormal{(A). Always}$

Step-by-step explanation:

A square is always a parallelogram. I hope this helps!

6 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

Just need help finding X and Y

Lapatulllka [165]

Answer:

Step-by-step explanation:

For x use the Pythagorean theorem:

$x^2+6^2=10^2$

$x^2+36=100$ <em>subtract 36 from both sides</em>

$x^2=64\to x=\sqrt{64}\\\\x=8$

We know: x + y = 20. Substitute:

$8+y=20$ <em>subtract 8 from both sides</em>

$y=12$

5 0

3 years ago

five twice the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. what is the number?

aleksklad [387]

Answer: -4.5, but only if the phrase "five twice the sum . . ." means 5*2*(the sum of . . .). "five twice" is confusing, so please check the question.

Step-by-step explanation:

5*2*(X + 3) = 3*(2X - 1)

10X + 15 = 6X -3

4X = -18

X = -18/4

X = - 4.5

5 0

3 years ago

Free 25 points ‼‼

TiliK225 [7]

Answer:

I think 32 is answer but i am not sure

5 0

2 years ago

Read 2 more answers