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
garik1379 [7]
3 years ago
5

What is the volume of this prism?​

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

You might be interested in
A practice law exam has 100 questions, each with 5 possible choices. A student took the exam and received 13 out of 100.If the s
Cloud [144]

Answer:

z=\frac{13-20}{4}=-1.75

Assuming:

H0: \mu \geq 20

H1: \mu

p_v = P(Z

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest (number of correct answers in the test), on this case we now that:

X \sim Binom(n=100, p=0.2)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=100*0.2=20 \geq 10

n(1-p)=20*(1-0.2)=16 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=100*0.2=20

\sigma=\sqrt{np(1-p)}=\sqrt{100*0.2(1-0.2)}=4

So we can approximate the random variable X like this:

X\sim N(\mu =20, \sigma=4)

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

The z score is given by this formula:

z=\frac{x-\mu}{\sigma}

If we replace we got:

z=\frac{13-20}{4}=-1.75

Let's assume that we conduct the following test:

H0: \mu \geq 20

H1: \mu

We want to check is the score for the student is significantly less than the expected value using random guessing.

So on this case since we have the statistic we can calculate the p value on this way:

p_v = P(Z

5 0
3 years ago
Helpp me pleasee ╹◡╹
anyanavicka [17]

Answer:

55 for 1 min

110 for 2 min

165 for 3 min

4 0
3 years ago
Read 2 more answers
How to write 1000= in Exponential form
Nadusha1986 [10]

Answer:

10x^{3}[/tex]

Step-by-step explanation:

10x^{3}

=10·10·10

=1000

5 0
3 years ago
Read 2 more answers
Combine the like terms and simplify . Please help I will mark Brainly
Andrej [43]
3. is q+21
4. 7s-5t+8
5 0
3 years ago
Read 2 more answers
Find the surface area of the pyramid.
Sphinxa [80]

SA= a+1/2(p)(h)

SA= 18+1/2( 18)(5.2)

SA= 18+46.8

SA=64.8

4 0
3 years ago
Other questions:
  • Find the volume of the cylinder.<br> Either enter an exact answer in terms of π or use 3.14
    13·2 answers
  • What is the equation of this trend line?
    7·1 answer
  • A fast-food chain claims one medium order of its onion rings weighs 114 grams. Patrice thinks she is getting less than what the
    8·1 answer
  • Rewrite the equation y=2|x−3|+5 as two linear functions f and g with restricted domains.
    8·1 answer
  • What fraction do the blue segments make up?
    15·1 answer
  • What decimal is equivalent to 17/20 ​
    9·2 answers
  • 4. Which of the following is a variable in the data table above? (1 point)
    10·1 answer
  • In 12 hours , the temperature fell steadily from 17F to -7F. What was the change in temperature
    13·1 answer
  • I need answer Immediately pls!!!!!!!
    7·2 answers
  • If 10+6/x=22 what is the value of x
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!