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Fiesta28 [93]
1 year ago
5

There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly sele

ct 7 students: What is the probability that more than 5 PASS their first statistics exam
Mathematics
1 answer:
melamori03 [73]1 year ago
4 0

The probability that more than 5 students will pass their exam is 0.0188416.

<h3>How to find the probability?</h3>

The probability that a student passes their examination = 40% = 0.4

The probability that more than 5 students pass their statistics exam = Probability that 6 students pass their exam + Probability that 7 students pass their exam

The probability that 6 students pass their exam =

7C_{6} (0.4)^{6} (0.6)^{1}\\=7(0.4)^6(0.6)\\=0.0172032

The probability that 7 students pass their exam =

7C_{7} (0.4)^{7} (0.6)^{0}\\=(0.4)^7\\=0.0016384

The probability that more than 5 students pass their statistics exam = 0.0172032 + 0.0016384

= 0.0188416

Therefore, we have found the probability that more than 5 students will pass their exam to be 0.0188416.

Learn more about probability here: brainly.com/question/24756209

#SPJ4

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Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the mi
timama [110]

Answer:

(a)The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Therefore, the length of the fence is  97\frac{1}{2}$ feet

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet

Similarly:

x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet

The missing measurements are 9 feet and 16\frac{1}{4}$ feet.

(b)Length of the Fence

The fence is rectangular shaped with:

Length = 31\frac{1}{2}$ feet

Width = 17 \frac{1}{4}$ feet

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet

8 0
3 years ago
CAN SOMEONE HELP WITH THIS??????????????
svetoff [14.1K]

Answer:

8963.46

Step-by-step explanation:

84*66 for the rectangle and since there is two semi circles you could just calculate it as one so it would be 84*66+33*33*3.14 because formula for area of circle is A= pi*raduis with exponant of 2

3 0
3 years ago
I need help on this math problem ​
abruzzese [7]

Answer:

for the first one, simply add g(x) and h(x) :

x+3 + 4x+1 = 5x + 4

the second one, you would multiply them :

(x+3)(4x+1) = 4x^2 + 13x + 3

the last one, you would subtract :

(x+3)-(4x+1) = -3x + 2

and then substitute 2 for 'x' :

-3*2 + 2 = -6 + 2 = -4

8 0
2 years ago
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Is 45 a multiple of 4? Explain your answer.<br> 50
poizon [28]

Answer:

No

Step-by-step explanation:

Because 4 cannat be mutiplyed  into 45

8 0
2 years ago
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Please help. Only if you know it.
andrew11 [14]

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that <u>ends up with 0</u>.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

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