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3 years ago

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Mathematics

2 answers:

aev [14]3 years ago

7 0

Answer:

Volume= 360 feet³

Step-by-step explanation:

We have two shapes, a triangular prism and a rectangular prism.

Rectangular Prism: $w=6, h=2, l=8, V=lwh$

So, the volume is 6×2×8=96 feet³

Triangular Prism: $h=5.5-2=3.5, w=6, l=8, V=\frac{1}{2}lwh$

So, the volume is (5.5×6)÷2 ×8= 33×8=264 feet³

We have to combine the two volumes to find the volume of the whole shape. 96+264=360. So, the volume of the whole shape is 360 feet³

const2013 [10]3 years ago

6 0

Answer:

i believe its 21.5

Step-by-step explanation:

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2. At a particular snack stand, each dill pickle has 65 calories and each bag of

Naddika [18.5K]

Answer:

5 pickles and 1.4 bags of popcorn

Step-by-step explanation:

5x 65= 375

695 - 375= 370

370 ÷ 250 = 1.4

6 0

3 years ago

What is tan(Cos^-1 8/17)

Brrunno [24]

Answer:

Exact Form: 

$\frac{15}{8}$

Decimal Form:

1.875

Mixed Number Form: 

$\frac7{8}{1}$

5 0

3 years ago

The dingram shows a spinner innde up of a picce of card in the shape of a regular pentagon, with a toothpick pushed through its

Anastaziya [24]

Answer:

a) $P(X \leq 3) = 0.99328$

b) 0.6957

Step-by-step explanation:

Let X represent the number of 4's when n = 5 independent spins

each has a probability of 0.2 (i.e p = 0.2)

This notation is represented as:

X $\approx$ Binomial (n = 5, p = 0.2)

Probability of $x$ number of 4's is:

$P(X=x)= (\left \ n \atop x \right) p^x (1-p)^{(n-x)}$

here; $(\left \ n \atop x \right)$ is the combinatorial expression

$(\left \ n \atop x \right)$ = $\frac{n!}{x!(n-x)!}$

$P(X \leq3), n =5 , p = 0.2$

$P(X \leq3) = 1-P(X > 3)$

So; let's first find:

$P(X > 3)$

$= P(3$

$P(X = 4) =( \left \ {{5} \atop {4}} \right. ) (0.2)^4 (1-0.2)^1 \\ \\ P(X = 4) = 5(0.2)^4(0.8)^1 \\ \\ P(X = 4) = 0.0064$

$P(X = 5) =( \left \ {{5} \atop {5}} \right. ) (0.2)^5 (1-0.2)^0 \\ \\ P(X = 5) = 5(0.2)^5(0.8)^0 \\ \\ P(X = 5) = 0.00032$

$P (X=4)+P(X = 5 ) \\ \\ = 0.0064 + 0.00032 = 0.006720 \\ \\ \approx 0.007$

$P(X > 3 ) = 0.00672 \\ \\ P(X \leq 3) = 1- P(X > = 3 ) \\ \\ =1 - 0.00672 \\ \\ = 0.99328$

$P(X \leq 3) = 0.99328$

Given that:

The ratio of boys to girls at birth in Singapore is quite high at 1.09:1

What proportion of Singapore families with exactly 6 children will have at least 3 boys?

Probability of having a boy = $\frac{1.09}{1+1.09}$ = 0.5215

Binomial Problem with n = 6

P(3<= x <=6) = 1 - P(0<= x <=2)

= 1 - binomial (6,0.5215,2)

= 0.6957

5 0

3 years ago

Five times the number added to -5, subtracted from twice the sum of eight times the number and 2

Sladkaya [172]

2(8x + 2) - 5 + 5x
2(8x) + 2(2) - 5 + 5x
16x + 4 - 5 + 5x
16x - 1 + 5x
16x + 5x - 1
21x - 1

8 0

4 years ago

Erica had both chocolate cake and coconut cake at her birthday party. There were 15 people at the party, and 60 of them picked c

Ahat [919]

If you just divide 60 and 15 you will get 4. So 4 is you answer

6 0

4 years ago