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3 years ago

The pyramid below has a rectangular base and E is directly above A. find the volume of the pyramid

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Step-by-step explanation:

According to the information given and the formula

base area= 9cm × 4cm = 36

ht= 10cm

(1/3) × 36cm × 10cm = 120

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There are eight students in a class. Only one of them has passed Exam P/1 and only one of them has passed Exam FM/2. No student

Svetach [21]

Answer: There is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

Step-by-step explanation:

Total number of students = 8

Number of student who has passed Exam P/1 = 1

Number of student who has passed Exam FM/2 = 1

No student has passed more than one exam.

According to question, exactly three students from a randomly chose group of four students have not passed Exam P/1 or Exam FM/2.

So, Probability will be

$\frac{^6C_3\times ^2C_1}{^8C_4}\\\\=\frac{20\times 2}{70}\\\\=\frac{4}{7}\\\\=0.57$

Hence, there is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

4 0

3 years ago

The wholesale price for a shirt is $5.50. A certain department store marks up the wholesale price by 40%. Find the price of the

Kazeer [188]

Answer:

$7.7

Step-by-step explanation:

Hello, I can help you with this

you can solve this by using a simple rule of three.

Step 1

define

if the wholesale price for a shirt is $5.50,it is 100 percent

$5.50⇔100%

the new price(x) is 40% more than the original, it means 140%

x ⇔ 140%

the relation is

$\frac{5.5}{100}= \frac{x}{140}\\$

Step 2

solve for x(isolate x)

$\frac{5.5}{100}= \frac{x}{140}\\x=\frac{5.5*140}{100}\\x=7.7$

the price of the shirt in the department store is $7.7

Have a nice day.

7 0

3 years ago

Cole brought chocolate and vanilla cupcakes to school for his birthday. 40 students decided to take a cupcake, and 90% of them p

nikdorinn [45]

Answer:

36 people picked a vanilla cupcake

Step-by-step explanation:

40 * 90%

= 40 * 0.9

= 36

6 0

3 years ago

Read 2 more answers

If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)

Zepler [3.9K]

Answer:

$\large\boxed{(f+g)(x)=5x^2+6}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6$

6 0

4 years ago

Jim has 5 computer science books and 3 math books. he has room to arrange four of them on a shelf. he wants at least two compute

zysi [14]

Answer: There are 60 different ways that he can arrange the books.

Step-by-step explanation:

Since we have given that

Number of computer science books = 5

Number of math books = 3

Number of books selected = 4

Atleast Number of computer science = 2

Atleast number of math book = 1

According to question, he wants at least two computer science books and at least one math book, and he wants to keep the computer science books and the math books together.

So, Number of different ways that he can arrange the books is given by

$^5C_2\times ^3C_2+^5C_3\times ^3C_1\\\\=30+30\\\\=60$

Hence, there are 60 different ways that he can arrange the books.

8 0

3 years ago