Answer:
1 2/15 loaves
Step-by-step explanation:
In a restaurant:
Total Loaf of wheat bread = 5/6
Total Loaf is white bread = 3/10
The total number of loaves that were served in all =
Loaf of wheat bread + Loaf of white bread
= 5/6 + 3/10
Lowest Common Denominator = 30.
Hence:
= 25 + 9/30
= 34/30
= 1 4/30
= 1 2/15 loaves
The total number of loaves served in all = 1 2/15 loaves
The intensity of a fire alarm that measures 125 dB loud is 268,337.29
<h3>Formula and expressions</h3>
Given the expression L=10 logI
where;
- L is the loudness
- I is the intensity of the sound.
Given the following parameters
L = 125dB
Substitute the given parameters into the following
L=10 logI
125 = 10logI
logI = 125/10
logI = 12.5
I = e^12.5
I = 268,337.29
Hence the intensity of a fire alarm that measures 125 dB loud is 268,337.29
Learn more on subject of formula here: brainly.com/question/657646
Answer:
Step-by-step explanation:
Assuming this previous info : "Trucks carry barrels of crude oil from a port in Texas to a distributer in New Mexico on long trailers. Filling equipment is used to fill the barrels with the oil. When functioning properly, the actual volume of oil loaded into each barrel by the filling equipment at the port is approximately normally distributed with a mean of 55 gallons and a standard deviation of 0.5 gallons. If the mean is greater than 55.4 gallons, the filling mechanism is overfilling."
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the amount filling of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
The given statement is:
41 fewer than the quantity t times 307 is equal to n.
The equation is given by:
Answer:
the pennies does not conform to the US mints specification
Step-by-step explanation:
z = (variate -mean)/ standard deviation
z= 2.5 - 2.4991 / 0.01648 = 0.0546
we are going to check the value of z in the normal distribution table, which is the table bounded by z.
checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)
we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim
since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification
the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected