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kirill [66]
3 years ago
15

A distribution has a mean of 90 and a standard deviation of 15. Samples of size 25 are drawn randomly from the population. Find

the probability that the sample mean is more than 85 g
Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

The probability is 0.04746

Step-by-step explanation:

Firstly, we calculate the z-score here

Mathematically;

z-score = x-mean/SD/√n

Where from the question;

x = 85, mean = 90 , SD = 15 and n = 25

Plugging these values into the equation, we have;

Z = (85-90)/15/√25 = -5/15/5 = -1.67

So the probability we want to calculate is ;

P(z > -1.67)

We use the standard normal distribution table for this;

P(z > -1.67) = 0.04746

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irga5000 [103]

Answer:

Scalene Triangle

Step-by-step explanation:

If you mark the points on the graph, all three sides have different lengths and angles, therefor it is a scalene triangle.

It cannot be a right triangke bc there is no right angle, and no obtuse either so that crosses out obtuse as an option as well. In order to be an isoceles triangle it must have two sides of equal length, but it does not.

7 0
3 years ago
Work out (1.2 x 104 ) 2.5 x 103<br>Give<br>your answer in standard form.​
ExtremeBDS [4]

Answer:

32136

Step-by-step explanation:

it is basically (1.2*104 )*2.5*103

4 0
3 years ago
Read 2 more answers
2. Find m1<br><br> [] 147<br> [] 123<br> [] 90<br> [] 57
Ivahew [28]
To find the measure of angle 1, you add 33 and 57
That would equal 90
Since all triangles equal 180, you would subtract 90 from 180
So the answer would be 90.
6 0
3 years ago
After the expression (x^10)^3/5is simplified as much as possible, x is raised to what exponent?
kirill [66]

Answer: x^6

Step-by-step explanation: You are multiplying the two exponents, all you have to do is 10 × 3/5: (10×3) / (5×1) > you just make 10 a fraction by putting 10 over one. You get 6 as the new power or exponent. If (b^m)^n then it is the same as b^ (m×n)

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7Bl%2Fg%7D" id="TexFormula1" title="T=2\pi \sqrt{l/g}" alt="T=2\pi \sqrt{
Ket [755]

Answer:

T^2*g / 4pi^2  = l

Step-by-step explanation:

T = 2 * pi * sqrt( l/g)

We need to solve for l

Divide each side by 2pi

T/ (2pi) = 2 * pi/2pi * sqrt( l/g)

T/ (2pi) =  sqrt( l/g)

Now square each side

(T/ (2pi))^2 = ( sqrt( l/g))^2

T^2 / 4pi^2 = l/g

Multiply each side by g

T^2 / 4pi^2  * g= l/g*g

T^2*g / 4pi^2  = l

8 0
3 years ago
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