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Zarrin [17]
3 years ago
15

Factorise fully 9x^2 - 16y^2

Mathematics
1 answer:
dsp733 years ago
4 0
Note: a² - b² = (a-b)(a+b)

9x² - 16y² = (3x)² - (4y)² = (3x - 4y)(3x + 4y)
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9. Your mathematics instructor claims that, over the years, 88% of his students have said that math is their favorite class. In
Tatiana [17]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0: p = 88

For the alternative hypothesis,

Ha: p < 88

Considering the population proportion, probability of success, p = 0.88

q = probability of failure = 1 - p

q = 1 - 0.88 = 0.12

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 21

n = number of samples = 32

P = 21/32 = 0.66

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83

The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,

P value = 0.00006

8 0
3 years ago
Score: 0 of 2 pts
Alecsey [184]

Answer:

Each state also had a governor. This official was elected either by the legislature or by the citizens. The governor’s job was to carry out the laws. Finally, each state had courts. Judges in the courts decided what the laws meant and how to apply them to each new situation.

Step-by-step explanation:

6 0
3 years ago
Solve the inequality 12(1/2x-1/3)&gt;8-2x
gizmo_the_mogwai [7]

Answer:8(1/2x - 1/4)> 12 - 2x

a.x > 7

b.x > 7/3

c.x > 5/3

d.x > 5/3

Step-by-step explanation: Solve the inequality 12(1/2x-1/3)>8-2x

3 0
3 years ago
19.25 divided by 3.5
Colt1911 [192]

Answer:

It would be 5.5

for a better understanding, look it up on google

4 0
3 years ago
2) A gym charges a $30 membership fee and $10 per month. Write an
kari74 [83]

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

5 0
3 years ago
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