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kykrilka [37]
3 years ago
15

Can someone please help me with both of these questions. Thanks so much.

Mathematics
2 answers:
adell [148]3 years ago
8 0
(1.) Part A
The Yellow Chalk because when you turn 2/6 into a new fraction (double it) its 4/12 and 4/12 is bigger than 3/12.

(2.) Part B
It's true because 5/12 is less than half of the bucket because the other half is 7/12

Dahasolnce [82]3 years ago
3 0
Part A. The answer is ''There is more yellow than green'' - For this, you had to change 2/6 into a fraction with a denominator of 12, so you do how much times 6 can go into 2, and multiply that with the numerator and you get 4/12. Now you just compare the numerators.

Part B. Andrea is correct because 1/2 of the bucket is 6/12, and there is 5/12 blue, so it is less
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In triangle XYZ right angled at Y. Find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
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Answer:

6.5 cm

Step-by-step explanation:

From Pythagoras theorem

C^2= a^2 + b^2

Where a, b are the sides of the triangle

C= hypotenus sides of the triangle

two sides are given as 1.6 cm and 6.3cm respectively.

C^2= 1.6^2 + 6.3^2

C^2= 2.56 + 39.69

C^2 = 42.25

C= √42.25

C=6.5 cm

Hence, the length of the hypotenuse is 6.5 cm

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CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and
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Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

6 0
3 years ago
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