Answer:
m = 10
Step-by-step explanation:
Given w is inversely proportional to m then the equation relating them is
w =
← k is the constant of variation
To find k use the condition w = 8, m = 25 , then
8 =
( multiply both sides by 25 )
200 = k
w =
← equation of variation
When w = 20 , then
20 =
( multiply both sides by m )
20m = 200 ( divide both sides by 20 )
m = 10
D) (10 x 55) + (10 x 55) + (10 x 55) + (10 x 55)
use distributive rule to factor out 55:
55 (10+10+10+10) = 55×40
Answer:
Step-by-step explanation:
Given that the mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.
Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.
X is N(25, 1)
a) Normal curve is in the attached file
b) the probability that a randomly selected fertilized egg hatches in less than 23 days
=
we convert x into Z score and use std normal distn table to find probability

i.e. we can say only 2.5% proportion will hatch in less than 23 days.
The answer would be the top one and the 3rd one
Answer:
180 hamburgers
120 hotdogs
Step-by-step explanation:
In this question, we are asked to calculate the number of hamburgers and hotdogs sold by a company given the amount made by them and the total number of these snacks sold
We proceed as follows;
Let the amount of hotdogs sold be x and the amount of hamburgers sold be y.
We have a total of 300 snacks sold, mathematically;
x + y = 300 ..........(I)
Now let’s look at the prices.
x number of hotdogs sold at $2, this give a total of $2x hotdogs
y number of hamburgers sold at $3, this give a total of $3y.
Adding both to give total, we have ;
2x + 3y = 780.......(ii)
This means we have two equations to solve simultaneously. From equation 1, we can say x = 300 -y
Now let’s insert this in the second equation;
2(300-y) + 3y = 780
600-2y + 3y = 780
y = 780-600 = 180
Recall; x + y = 300
x = 300 -y
x = 300-180 = 120