Answer:
4/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 16 and 36 is 4
Divide both the numerator and denominator by the GCD
16 ÷ 4
36 ÷ 4
Reduced fraction:
4
9
Therefore, 16/36 simplified to lowest terms is 4/9.
I=k/d^2
4=k/d^2 and 1=k/64 so if we divide the first by the second we get:
4/1=(k/d^2)/(k/64)
4=(k/d^2)*(64/k)
4=64/d^2
d^2=64/4
d^2=16
d=4 meters
Answer: he must work for at least 26.32 hours
Step-by-step explanation:
Let x represent the number of hours that Hayden works as a life guard.
Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be
9.5x
He earns a bonus of $50.00 for taking a training course. If he takes this bonus cost, the amount that he would earn for working for x hours is
9.5x + 50
Therefore, the number of hours that he must work to earn at least $300.00 would be
9.5x + 50 ≥ 300
9.5x ≥ 300 - 50
9.5x ≥ 250
x ≥ 250/9.5
x ≥ 26.32
Answer: 267.
Step-by-step explanation:
When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :
, where z* = Critical z-value and E + amrgin of error.
Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.
Since , we have no prior information about p. so we use above formula
with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get
Hence, the required sample size is 267.
