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
LenaWriter [7]
3 years ago
6

Evaluate ( z^2 + 4 ) ( z^2 – 5)

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

z^4-z²-20

Step-by-step explanation:

( z^2 + 4 ) ( z^2 – 5)

z^4+4z²-5z²-20

z^4-z²-20

You might be interested in
what is the volume of the cone with radius 6 inches and height 10 inches express the answer in terms of pi
Vanyuwa [196]

Answer:

V = (1/3)(π)(6 in)²(10 in) = 120π in³

Step-by-step explanation:

The volume of a cone of radius r and height h is V = (1/3)πr²h.

Here, that volume is V = (1/3)(π)(6 in)²(10 in) = 120π in³

6 0
3 years ago
Read 2 more answers
Scores on an aptitude test are distributed with a mean of 220 and a standard deviation of 30. The shape of the distribution is u
Evgen [1.6K]

Answer:

P(215<X<225) = 0.7620

Step-by-step explanation:

The shape of the distribution is unknow, however, the shape of the sampling distributions of the sample mean is approximately normal due to the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 220, \sigma = 30,n = 50, s = \frac{30}{\sqrt{50}} = 4.2426

P(215<X<225)

This is the pvalue of Z when X = 225 subtracted by the pvalue of Z when X = 215. So

X = 225

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

By the Central Limit Theorem

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

Z = \frac{225 - 220}{4.2426}

Z = 1.18

Z = 1.18 has a pvalue of 0.8810

X = 215

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

Z = \frac{215 - 220}{4.2426}

Z = -1.18

Z = -1.18 has a pvalue of 0.1190

0.8810 - 0.1190 = 0.7620

P(215<X<225) = 0.7620

6 0
3 years ago
3. the quotient of -9 and y
skelet666 [1.2K]

Answer:

9\y=a I'm not sure BTW wc

4 0
3 years ago
What is the first quartile, Q1, of the data set? {36, 45, 79, 80, 82, 85, 90} Enter your answer in the box. Q1 =
MrRa [10]
The upper quartile is, Q1, is 45. The lower quartile, Q2, is 85. The interquartile range is 40. I hope this helps!
8 0
3 years ago
A ball is thrown into the air with a speed of 32 feet per second. The function h=32t - 16t^2 models the height of the ball after
beks73 [17]

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

h=32t - 16t^2

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.

7 0
3 years ago
Other questions:
  • Line A is represented by the following equation: x + y = 2
    15·2 answers
  • Construct a triangle ABC in which Ab=8cm, Ac=6cm and BC=9cm
    13·1 answer
  • Which is the simplest form of 10/82
    9·1 answer
  • Calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of meas
    5·1 answer
  • $54 is 60% of what amount?​
    7·1 answer
  • (-5+16)^2 answers???
    13·2 answers
  • jonas has 8 sponsors for the school walk-a-thon. Maura has 3 times as many sponsors as Jonas. Treton has 1/4 as many sponsors as
    13·2 answers
  • What is <img src="https://tex.z-dn.net/?f=%7Cx-6%7C" id="TexFormula1" title="|x-6|" alt="|x-6|" align="absmiddle" class="latex-f
    15·1 answer
  • Please help!! <br><br>look at the picture for the question​
    11·1 answer
  • Hat is the slope of the linear relationship shown in this table of values?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!