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dlinn [17]
3 years ago
15

A store sells 3 categories of kitchen items: cups, bowls, and spoons. There are 5 types of cups, 4 types of bowls, and 2 types o

f spoons. How many different combinations can you buy in this store of: a A set of a bowl, cup, and spoon Answer:
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

40.

Step-by-step explanation:

That is 5 * 4 * 2

= 40 combinations of a set of bowl, cup and spoon.

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A rectangular prism has a volume of 100 cm3. The length of the prism 25 cm, the height is 2 cm, but the width is unknown. What i
Tanya [424]

Answer:

w = 2 cm

Step-by-step explanation:

100 = 25 x 2 x w

w = 2 cm

7 0
2 years ago
Suppose the number of radios in a household has a binomial distribution with parameters n=11 and p=40%. Find the probability of
Ivenika [448]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x=r) = nCr × q^(n-r) × p^r

From the information given,

n = 11

p = 40% = 40/100 = 0.4

q = 1 - 0.4 = 0.6

x represent the number of radios

a) P( x = 1) or P(x = 9)

P(x = 1) = 11C1 × 0.6^(11-1) × 0.4^1

P(x = 1) = 0.027

P(x = 9) = 11C9 × 0.6^(11-9) × 0.4^9

P(x = 9) = 0.0052

P( x = 1) or P(x = 9) = 0.027 + 0.0052 = 0.0322

b) P(x lesser than or equal to 7) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5) + P(x = 6)

P(x = 0) = 11C0 × 0.6^(11-0) × 0.4^0 = 0.004

P(x = 1) = 0.027

P(x = 2) = 11C2 × 0.6^(11-2) × 0.4^2 = 0.089

P(x = 3) = 11C3 × 0.6^(11-3) × 0.4^3 = 0.177

P(x = 4) = 11C4 × 0.6^(11-4) × 0.4^4 = 0.24

P(x = 5) = 11C5 × 0.6^(11-5) × 0.4^5 = 0.22

P(x = 6) = 11C6 × 0.6^(11-6) × 0.4^6 = 0.15

P(x = 7) = 11C7 × 0.6^(11-7) × 0.4^7 = 0.15

P(x lesser than or equal to 7) = 0.004 + 0.027 + 0.089 + 0.177 + 0.24 + 0.22 + 0.15 + 0.07 = 0.977

c) P(x greater than or equal to 5) = 1 - P(x lesser than or equal to 4) = 1 - (0.004 + 0.027 + 0.089 + 0.177 + 0.24) = 1 - 0.537 = 0.463

d) P(x lesser than 9) = P(x lesser than or equal to 7) + P(x = 8)

P(x = 8) = 11C8 × 0.6^(11-8) × 0.4^8 = 0.02

P(x lesser than 9) = 0.977 + 0.02 = 0.997

e. P(x greater than 7) = 1 - P(x lesser than or equal to 7) = 1 - 0.977 = 0.023

5 0
3 years ago
Simplify the algebraic expression: x(x + 3) + x(2x - 4) + 6
marusya05 [52]

Step-by-step explanation:

x(x + 3) + x(2x - 4) + 6

First, let's distribute the x variable to each term in the first parenthesis:

x^{2} + 3x + x(2x - 4) + 6

Next, let's distribute the x variable to each term in the second parenthesis:

x^{2} + 3x + 2x^{2} - 4x + 6

Next, let's group like terms together:

(x^{2} + 2x^{2}) + (3x - 4x) + (6)

Finally, let's add or subtract like terms to get the result:

3x^{2} - x + 6

6 0
3 years ago
Read 2 more answers
Plz help me thank you
murzikaleks [220]
Slope intercept form is y = mx + b where m is slope and b is y intercept.

The line crosses the y axis at y = 4

The slope is 4/3

So the answer is y = (4x/3) + 4


5 0
3 years ago
The value of a tractor, in dollars, x years from its models year can be predicted by the function
ValentinkaMS [17]
1442.55 is the answer
5 0
2 years ago
Read 2 more answers
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