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alexandr1967 [171]
3 years ago
12

Please help me with this problem

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0
Which Problem Do You Need Help With?
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According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%
Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean \mu and standard deviation \sigma, is given by:  

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • Each z-score has an associated p-value, which is the percentile.

  • The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
  • The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
  • The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
  • Thus, the value of Z is 1.96.

A similar problem is given at brainly.com/question/16965597

7 0
2 years ago
the ratio of pennies to quarters in a piggy bank is 14:3. if there are 51 quarters in the bank, how many pennies are there
malfutka [58]

The number of pennies in bank is 42

<em><u>Solution:</u></em>

Given that ratio of pennies to quarters in a piggy bank is 14 : 3

Let 14x be the number of pennies in piggy bank

Let 3x be the number of quarters in piggy bank

<em><u>To find: number of pennies</u></em>

Given that there are 51 quarters

number of pennies in piggy bank + number of quarters in piggy bank = 51

14x + 3x = 51

17x = 51

x = 3

number of pennies = 14x = 14(3) = 42

Thus the number of pennies in bank is 42

4 0
3 years ago
Points M, N, D, and E are on a circle with center K. Also, ED is a diameter of the circle
Anestetic [448]

Answer:

Step-by-step explanation:

Kn

3 0
3 years ago
Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half . (1 point)
bixtya [17]
3rd one
Reason: 
Point slope formula: y-y1=m(x-x1) 
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negatives make one positive
so, 
final answer:y+4=1/2(x-1)
6 0
3 years ago
F(x)= 1/x−3+7 Find the inverse of f(x) and its domain.
castortr0y [4]

Answer:

f(x)^-1 = x - 4

D: {x is all real numbers}

Step-by-step explanation:

change f(x) to y

switch x with y and vice versa

solve for y

4 0
3 years ago
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