Answer:
The value of the test statistic is -3.14.
Step-by-step explanation:
Test statistic:

In which X is the sample mean,
is the expected value,
is the standard deviation and n is the size of the sample.
A company advertises that its cans of caviar each contain 100 g of their product.
This means that 
They calculate a sample mean weight of 99 g and a sample standard deviation of 0.9 g. Sample of 8 cans.
This means that 
So the test statistic will be given by:



The value of the test statistic is -3.14.
Answer:
0.97
Step-by-step explanation:
Given that a homeowner has two smoke detector alarms installed, one in the dining room (adjacent to the kitchen) and one in an upstairs bedroom (above the kitchen). If cooking produces smoke in the kitchen, the probability of setting off the dining room alarm (D) is .95. The probability of setting off the bedroom alarm (B) is .40.
Both alarms are independent of each other.
Probability for smoke detection=P(any one alarm rings)
=P(Kitchen alarm sets off)+P(bed room alarm sets off)-P(Both sets off)
Since both are independent
P(Both) = 
Probability for smoke detection
= 0.95+0.40-0.38
=0.97
Answer:
The volume of this given solid figure is 18 cubic units.
Step-by-step explanation:
Here, given the volume of 1 small cube = 1 cubic units
Now, counting the total cubes in the given solid figure, we get
Number of cubes in base row = 10
Number of cubes in middle row = 6
Number of cubes in top most row = 2
So, the total number of cubes in the figure = 10 + 6 + 2 = 18 cubes
So, the volume of 18 cubes = 18 ( Volume of 1 small cube)
= 18 x (1 cubic units) = 18 cubic units
Hence, the volume of this given solid figure is 18 cubic units.
So first create and define your variables:
Z = amount of zebra fish
N = amount of neon tetras
Now create your equations:
2z+2.15n=31.20
z+n=15
This is your system. There are multiple methods to use but in this problem I’ll use the substitution method by simplifying the bottom equation.
2z+2.15n=31.20
z=15-n
Now I’ll plug the bottom equation into the top one.
2(15-n)+2.15n=31.20
And just solve from here.
30-2n+2.15n=31.20
0.15n=1.20
n=8
So he bout 8 neon tetras, and 15-8= 7, so he bought 7 zebra fish
Answer:
i believe its x+5
Step-by-step explanation:
you add 13 to both numbers