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neonofarm [45]
3 years ago
12

The heights of 18-year-old men are approximately normally distributed with mean 68 inches and standard deviation 3 inches. What

is the probability that the height of an 18-year-old man selected at random is between 64 inches and 66 inches
Mathematics
1 answer:
Nitella [24]3 years ago
5 0
What is the probability<span> that an </span>18 year old man selected<span> at </span>random<span> is ... what is the </span>probability<span> that the </span>mean height<span> bar x is </span>between<span> 67 and 69 </span>inches<span>? c. ... approx </span>normally distributed<span> with </span>mean 68 inches<span> and std deviation </span>3 inches<span>? a. ... is used in stead of </span>standard deviation<span> as you have a </span>random<span> sample.</span>
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(1 point) Let y=ex/5. Find the differential dy when x=2 and dx=0.2 Find the differential dy when x=2 and dx=0.01
Deffense [45]

\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Differential Calculus.

Since, we know this is a definite calculus,

thus we get here as, by using the Chain Rule.

7 0
3 years ago
Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres a
liraira [26]
The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!

8 0
3 years ago
Can 33.0 convert into a fraction for example 330/100, would it be able to convert?
LUCKY_DIMON [66]

Answer:

yes because you could make 33.0 to 1/3

3 0
3 years ago
Read 2 more answers
PLEASE HELP!<br>Calculate $40^{13} \pmod{85}.$
SVEN [57.7K]
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

Notice

40*40*40=64,000

so we check how many time does 85 fit into 64,000:

64,000/85=752.94

85*753=64,005;       64000-64,005=-5

this means that 

40^{3} =-5\pmod{85}

thus

40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}


Answer: 10 (mod85)

Remark, the set of all solutions is:

{......-75, 10, 95, .....}, that is 85k +10
7 0
3 years ago
WILL GIVE BRAINLIST AS SOON AS I CAN i thought that this one was 151.45 but it wasn't and I'm not sure what to do ​
zimovet [89]

Answer:

151.4496

Step-by-step explanation:

Take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2

5 0
3 years ago
Read 2 more answers
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