Answer:
0.21186
Step-by-step explanation:
We solve the above question using the z score formula.
z = (x-μ)/σ, where
x is the raw score = 3100g
μ is the population mean = 3500g
σ is the population standard deviation = 500g
z = 3100 - 3500/500
z = -0.8
Probability value from Z-Table:
P(x<3100) = 0.21186
The probability that a baby is born that weighs less than 3100g is 0.21186
Answer:
see below
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
We can substitute the second equation into the first equation
Which one-variable linear equation can be formed using the substitution method?
1.5(4y-2) +5y = 1152
Distribute
6y -3 +5y = 1152
Combine like terms
11y-3 = 1152
Add 3 to each side
11y-3+3 = 1152+3
11y = 1155
Divide each side by 11
11y/11 = 1155/11
y = 105
How many $5 raffle tickets were sold?
105 5 dollar tickets were sold
Now we need to find the number of 1.50 tickets
Which equation can be used to determine how many $1.50 raffle tickets were sold?
x = 4y – 2
x = 4(105) -2
=420-2
= 418
How many $1.50 raffle tickets were sold?
418 $1.50 tickets were sold
Answer:
Slope of the line is -1.2
Option B is correct option.
Step-by-step explanation:
We need to find slope of the line with given points (4, 10.5) and (8,5.7)
The formula used to calculate slope is: 
The points given are: (4, 10.5) and (8,5.7)
We have 
Putting values and finding slope

So, Slope of the line is -1.2
Option B is correct option.
Answer:
4-9=-5
Step-by-step explanation:
do the work you get that
Answer:


Step-by-step explanation:
is the expression given to be solved.
First of all let us have a look at <u>3 formulas</u>:

Both the formula can be applied to the expression(
) during the first step while solving it.
<u>Applying formula (1):</u>
Comparing the terms of
with 

So,
is reduced to 
<u>Applying formula (2):</u>
Comparing the terms of
with 

So,
is reduced to
.
So, the answers can be:

