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4 years ago

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Mathematics

1 answer:

kotegsom [21]4 years ago

6 0

Answer:

(a)

<u>Sample space:</u>

1*1, 1*2, 1*3, 1*4,
2*1, 2*2, 2*3, 2*4,
3*1, 3*2, 3*3, 3*4,
4*1, 4*2, 4*3, 4*4

Total 16 outcomes

(b)

(i) P(even) = 12/16 = 3/4
(ii) P(3x) = 7/16
(iii) P(perfect square) = 4/16 = 1/4

(a) <u>Sample space:</u>

1T, 1H, 2T, 2H, 3T, 3H, 4T, 4H

Total 8 outcomes

(b)

(i) 1T, 3T

P(T and odd) = 2/8 = 1/4

(ii) 1H, 4H

P(H and square) = 2/8 = 1/4

(iii) 1H, 2H, 3H, 4H

P(H) = 4/8 = 1/2

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3 years ago

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Answer:

B, C, E

Step-by-step explanation:

Answer choice A):

$300 × = $75

* This answer choice represents the calculation of discount only and not the final selling price of the bicycle.

Answer choice B):

$300 × = $225

* This answer choice represents the calculation of the final selling price of the bicycle.

Answer choice C)

$300 × (1 - ) = $225

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Answer choice D):

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*This answer choice shows an incorrect equation which neither represents the calculation of the discount nor the final selling price of the bicycle.

Answer choice E):

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Applying the rule of PEMDAS,

We start with division; 1 ÷ 4 = 0.25

Then we go to multiplication; 0.25 × $300 = $75

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3 years ago

Steve opens a bank account. The amount, in dollars, in the account x weeks after the account is opened can be modeled by functio

ANTONII [103]

The missing options are:

$A.\ f(20) =5,000$

$B.\ f(5000) = 20$

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

D. In the xy plane, point (5,000,20) is on the graph y = f(x)

Answer:

$A.\ f(20) =5,000$

C. In the xy plane, point (20, 5,000) is on the graph y = f(x).

Step-by-step explanation:

Given

Represent amount with y and weeks with x

So, we have:

x = 20 when y = 5000

Required

Select 2 correct options

A point on a graph can be illustrated using $(x,y)$

So, when x = 20 and y = 5000 ----- given

$(x,y)$ implies that:

$(x,y) = (20,5000)$

We got $(20,5000)$ by substituting 20 for x and 5000 for y

<em />

<em>From the list of given options, the above represented of (x,y) is illustrated in option C</em>

Represent (x,y) as a function, we have:

$y = f(x)$

Substitute values for x and y

$5000 = f(20)$

Reorder

$f(20) = 5000$

The above is illustrated in option A

<em>Hence, A and C answers the question</em>

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3 years ago

You need a total of 50 pounds of two types of ground beef costing $1.25 and $1.60 per pound, respectively. A model for the total

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3 years ago

Danielle constructs a scale model of a building with a rectangular base. Her model is 2 inches in length and 1 inch in width. Th

tatyana61 [14]

Answer: The actual area of the base of the building = 4418 square feet.

Step-by-step explanation:

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The scale on the model is 1 inch = 47 feet.

Actual length = 2 x (47 feet) = 94 feet

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Actual area of base of building = (Actual length) x (Actual width)

= 94 x 47 square feet

= 4418 square feet

Hence, the actual area of the base of the building = 4418 square feet.

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3 years ago

See image for question.​

See image for question.