Answer:
Step-by-step explanation:
Combine all like terms.
Multiply both sides by -1.
Rachel and her sister Fran together can paint the living room in 
hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint 
th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint 
th part of the living room in 1 hour
By proportions,
⇒
+= {using operation proportions and addition}
⇒
=
⇒x=
⇒ together they can paint th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in hours
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Answer: z score = 0.00714
Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.
Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).
Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.
The table I'm using is towards the left of the distribution.
But z>2.45 + z<2.45 = 1
z> 2.45 = 1 - z<2.45
But z < 2.45 = 0.99286
z > 2.45 = 1 - 0.99286
z >2.45 = 0.00714
Hence the test statistics that would produce the least type 1 error is 0.00714
If a secant<span> and a </span><span>tangent of a circle </span><span>are drawn from a point outside the circle, then the product of the lengths of the secant and its external segment equals the square of the length of the tangent segment.
</span><span>
y</span>² = 7(15+7)
<span>y</span>² = 7*22
<span>y</span>² = 154
<span>y = </span>√154
<span>y = 12.4 </span>← to the nearest tenth<span>
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