1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kupik [55]
3 years ago
11

Find z such that 59% of the standard normal curve lies between −z and z. (Round your answer to two decimal places.)

Mathematics
1 answer:
victus00 [196]3 years ago
4 0

Answer:

Z = 0.82

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Find z such that 59% of the standard normal curve lies between −z and z.

The normal distribution is symmetric, which means that this is:

From the 50 - (59/2) = 20.5th percentile

To the 50 + (59/2) = 79.5th percentile.

The 20.5th percentile is -Z and the 79.5th percentile is Z.

79.5th percentile

Z with a pvalue of 0.795.

Looking at the z-table, it is Z = 0.824.

Rounding to two decial places, the answer is Z = 0.82.

You might be interested in
What is 6 times 2/3 (two thirds)?
r-ruslan [8.4K]
The answer would be four
7 0
3 years ago
Read 2 more answers
In one season, Moses made 4 times as many goals as Kyle. Together, they made 15 goals. How many goals did Moses make and how man
Likurg_2 [28]
4x+x= 15 5x=15 x=3 Moses made 12 goals and Kyle made 3
4 0
3 years ago
∫ 5cos(x) - 2sec²(x) dx
daser333 [38]
\bf \displaystyle \int [5cos(x) - 2sec^2(x)]dx\implies 5\int cos(x)dx~-~2\int sec^2(x)dx
\\\\\\
5sin(x)-2tan(x)+C
5 0
3 years ago
What is the missing length?
skad [1K]

Answer:

6.1

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) * h  where b1 and b2 are the lengths of the bases

108.6 = 1/2 ( 12+p) *12

108.6 = 6 (12+p)

Divide each side by 6

108.6 /6 = 12+p

18.1 = 12+p

Subtract 12 from each side

18.1-12 = 12+p-12

6.1 = p

4 0
2 years ago
The reciprocal of y^1/2 is 5<br> Work out the value of y.
Lady_Fox [76]

Answer:

y = 1/25

Step-by-step explanation:

Reciprocal of y^(1/2)  : 1/y^(1/2)

1/y^(1/2) = 5

y^(1/2) = 1/5

y = (1/5)^2

4 0
3 years ago
Other questions:
  • A deck of cards has three yellow cards and five green cards. One green card is drawn from the deck and not replaced. One more ca
    12·2 answers
  • What is the value of x in the equation 3/2(4x – 1) – 3x = 54 – (x + 2)?
    5·1 answer
  • to determine whether a number is written in scientific notation what test can you apply to the first factor and what test can yo
    9·1 answer
  • the stilts increase a persons height by 1.5 yards.if bonnie,who is 5 feet and 7 inches tall, walks with the stilts, how tall wil
    11·1 answer
  • Combine like terms.<br> 9y2 + 9(7y2-5) =<br> I need this for now please
    8·1 answer
  • If you borrow $900 for 4 years at an
    9·2 answers
  • Explain what happens as the heart grows bigger.
    15·2 answers
  • Plz help me solve this algebra
    6·1 answer
  • A salesperson will earn a commission equal to 1/32 of the total sales. what is the commissions earned on the sales totaling 2400
    8·1 answer
  • Drag each number to a box on the right to match each expression on the left with its product.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!