Answer:
Step-by-step explanation:
Let the numbers be x and y
<u>Three times the first number minus two times the second number equals -7:</u>
<u>The second number equals one less than negative three times the first number:</u>
<u>Substitute y in the first equation and solve for x:</u>
- 3x - 2(-3x - 1) = -7
- 3x + 6x + 2 = -7
- 9x = -9
- x = -1
<u>Find the value of y:</u>
- y = -3(-1) - 1
- y = 3 - 1
- y = 2
The numbers are -1 and 2
Step-by-step explanation:

The boy has a choice from among 2•3•8•2 = 96 outfits.
Answer:
<em>The calculated value Z=1.2413 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>An instructor in the English department at CBC believes rates at CBC may be equal to the state average</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given Population proportion </em>
<em> P=68%= 0.68</em>
<em>Sample proportion </em>
<em> </em>
<em></em>
<em>Null hypothesis : H₀ : p = 0.68</em>
<em>Alternative Hypothesis :H₁ : p > 0.68</em>
<u><em>Step(ii)</em></u><em>:-</em>
<em>Test statistic</em>
<em> </em>
<em></em>
<em> </em>
<em></em>
<em> Z = 1.2413</em>
<em>Level of significance </em>
<em> </em>
<em></em>
<em>The calculated value Z=1.2413 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>An instructor in the English department at CBC believes rates at CBC may be equal to the state average</em>
<em></em>
<em></em>