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3 years ago

How many people were both 20 and Over and failed ? A.9 B.36 C.60 D.15

Mathematics

2 answers:

Valentin [98]3 years ago

7 0

Answer:

Step-by-step explanation:

90 - 30 = 60

60 - 45 = 15

d.15

sweet [91]3 years ago

5 0

Answer: D)15

Step-by-step explanation: Look at the totals first, 90 is the full total so subtract 30 from 90 and you get 60. Now look at the fail column, the only number is 45 so subtract 45 from 60 and you get 15.

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Based on data collected 5 years ago, a hotel expects that 24% of all guests will request smoking rooms. The hotel suspects that

9966 [12]

Answer:

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

Step-by-step explanation:

Step(i):-

Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.

Sample proportion

p = x/n = 39/223 = 0.174

Given Population proportion 'P' = 0.24

Given random sample size 'n' = 223

Level of significance ∝ =0.05

The critical value Z₀.₀₅ = 1.96

Null Hypothesis (H₀) : P=0.24

Alternative Hypothesis (H₁) : P≠ 0.24

Step(ii):-

Test statistic

$Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

$Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }$

|Z| = | -2.3084|= 2.3084

The calculated value Z = 2.3084 > 1.96 at 5% level of significance

Null hypothesis is rejected

Alternative hypothesis is accepted

The hotel does not expects that 24% of all guests will request smoking rooms

7 0

3 years ago

Solve the triangle. A = 54°, b = 11, c = 8

Delicious77 [7]

In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.

For finding side a, you can answer this easily by the Law of Cosines. The equation is

a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9

Then, we use the Law of Sines to find angles B and C. The formula would be

a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°

9/sin54° = 8/sinC
C = 45.6°

The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4

5 0

3 years ago

Find the value of a: a(x+3)<5x+15-x a=

Vinil7 [7]

Answer:

a= 4x+15/x+3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

637 x 3 find the products. Show your thinking. The first row gives some ideas for showing your thinking

Colt1911 [192]

Answer:

1,911

Step-by-step example

3 x 7

3 x 30

3 x 600

then add it all up to get the 1,911

6 0

3 years ago

What is the solution to the equation? 1/8 = m/32

inna [77]

Answer:

m=4

Step-by-step explanation:

1/8=m/32

cross product

8*m=1*32

8m=32

m=32/8

m=4

8 0

3 years ago