P^ = 9/300 = 0.03
H0 = p < 5%
H1 = p > 5%
standard deviation of sample distribution = sqrt[p(1 - p) / n] = sqrt[0.05(1 - 0.05)/300] = sqrt(0.0001583) = 0.01258
test statistics, z = (p^ - p) / standard deviation = (0.03 - 0.05) / 0.01258 = -1.589
P(-1.589) = 1 - P(1.589) = 1 - 0.94402 = 0.05598
Since, p = 0.05598 < significant level of 0.1, we reject the H0.
i.e. There is no sufficient evidence to suggest that the proportion of defective batteries is less than 5%.
The p-value of the test is 0.05598
Answer: 2) 4x - 8 - 8y
Step-by-step explanation:
if xy=4
then y(x-4)(x+2) use foil method with parenthisies to get
y(x²+2x-4x-8) foil again
x²y+2xy-4xy-8y plug 4 in for xy
x²y+2(4)-4(4)-8y solve what u can
x²y+8-16-8y= x²y-8-8y
for x²y if you take out the exponent you have an xy and an x so when u plug in 4 you get 4x ending up with a solution of
4x-8-8y
Hope that helped
Answer:
Step-by-step explanation:
This actually happened to me. I was walking out of a national forest and came up to a stream that I had not crossed. I got my bearings confused and realized I was lost. I knew that if I went Northwest it would be about a 30 mile hike out in heavy woods, with obvious other streams to cross. In the Southeast direction, it would only be about 5 miles.
The sun was out but mostly overhead and no help with directions.
I couldn't wait until the sun went farther West to get my directions. It was a warm Winter day but I wasn't dressed to be there after dark when the temperature fell, even if I did go in the correct direction.
I stuck a stick in the ground and made a mark in the dirt at the end of it's shadow. I sat down for about 15 minutes, then made a new mark in the dirt at the end of the sticks shadow again. I drew a line in the dirt to connect the two marks. This line ran close to the East/West direction, the first mark being the West direction.
I made it out about 5 PM just as the sun was disappearing through the trees.
Answer:
Y = 15x + 30 and 8 hours
Step-by-step explanation:
She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.
She gets a solid $30 every week that is straight forward
To solve the function
150 = 15x + 30
subtract 30 from both sides
120 = 15x
divide 15 from both sides
8 = x
or
x = 8
You got this :)
Answer:
62.5%
Step-by-step explanation:
Total number of people at the concert = 10000
Number of adults = 6250
Percentage of adults = number of adults/ total number of people at the concert x 100%
That’s
6250/10000 x 100%
0.625 x 100%
62.5%
62.5% of the people at the concert are adults