An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 100100 engines and the mean pressure was 4.94.9 pounds/square inch (psi). Assume the population standard deviation is 0.60.6. The engineer designed the valve such that it would produce a mean pressure of 4.84.8 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.020.02 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.