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
ozzi
3 years ago
14

A tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leve

led off at the 38 cm mark above the base
(i)the capacity of the tin


(ii)the volume of the cake mixture in the tin in cm^3

(iii)volume of the space unoccupied by the cake in cm^3
Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

(a) V = 51200 cubic cm

(b) V' = 38912 cubic cm

(c) V'' = V - V' = 12288 cubic cm

Step-by-step explanation:

side of the square base, s = 32 cm

height, h = 50 cm

height of cake mixture, h' = 38 cm

(a) The capacity of the tin is the volume.  

Capacity of tin, V =  s x s x h = 32 x 32 x 50 = 51200 cubic cm

(b) The volume of the cake mixture is

V' =  s x s x h'

V' = 32 x 32 x 38 = 38912 cubic cm

(c) Volume of unoccupied space is

V'' = V - V' = 51200 - 38912 = 12288 cubic cm

You might be interested in
Please help me with this!
marishachu [46]
It is this photo if it has been added

5 0
3 years ago
JN is ? between angle J and angle <br>K
crimeas [40]
Verify please dont understand
7 0
3 years ago
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hear
Sedbober [7]

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of \mu = 1.35.
  • The standard deviation is of \sigma = 0.33.

Item 1:

Considering his ratio, we have that X = 0.73, hence:

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

Z = \frac{0.73 - 1.35}{0.33}

Z = -1.88

His z-score was of Z = -1.88.

Item 2:

The probability is the <u>p-value of Z = -1.88</u>, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

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

Z = \frac{1.96 - 1.35}{0.33}

Z = 1.85

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at brainly.com/question/24663213

7 0
2 years ago
Bob and Joe start from the same point and walk in opposite directions. Bob walks 2 km/h faster than Joe. After 3 hours, they are
valkas [14]

Answer:

Bob = 6km/h, Joe = 4km/h

Step-by-step explanation:

Bob walked 6km/h after 3 hours = 18 km
Joe walked 4km/h after 3 hours = 12 km

Finally, their distance is 30 km.

6 0
2 years ago
Mr.Montgomery's class, there are 8 boys and 12 girls.If Mr.Montgomery selects 1 student from his class at random, what is the pr
Gnoma [55]
Probability=number of specific outcomes / total possible outcomes

P(g)=12/(12+8)

P(g)=12/20

P(g)=3/5
7 0
3 years ago
Other questions:
  • If the velocity of a car on a timed test drive on an airfield is given by the function:
    9·1 answer
  • Help fast please <br> -7(w-4)+3w-27
    7·1 answer
  • Find the value of x for which abcd must be a parallelogram 3x 4x-5
    8·1 answer
  • Felicia has 29 buttons in her collection.She will connect 12 new buttons every year.Felicia collects buttons for k years.For wha
    11·2 answers
  • Six out of the 114 elements are noble gases. You write the names of all the elements on cards and select a card at random. What
    5·1 answer
  • Match each inequality to the number line that represents its solution
    11·1 answer
  • I need a math tutor for my quiz tomorrow
    12·1 answer
  • Help me on this question please
    15·2 answers
  • PLEASE ANSWER SOON PLEASE
    14·1 answer
  • 8. myles had 103 coins in a jar - all nickels, dimes, and quarters. if the total value of the coins is $15
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!