To solve for x, first you need to isolate all x terms on the same side so:
you start with 5 + 4x = 54 - 3x
subtract 5 from both sides to get 5 onto the left side
now you should have 4x = 49 - 3x
now add 3x to both sides to get 3x onto the right side
now you should have 7x = 49
now that you have your x on one side you can solve this like a regular one step equation and divide both sides by 7
this leads you to your answer of x = 7
hope this helps!
In the X column put 1, 2, and 3
for the y column, plug in the 1, 2, or 3 into the X
for example, a) y=5x+3
x= 1, 2, 3 y=5(1)+3 = 8
y= 8, 13, 18
Answer:
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

The proportion of infants with birth weights between 125 oz and 140 oz is
This is the pvalue of Z when X = 140 subtracted by the pvalue of Z when X = 125. So
X = 140



has a pvalue of 0.9772
X = 125



has a pvalue of 0.8413
0.9772 - 0.8413 = 0.1359
The proportion of infants with birth weights between 125 oz and 140 oz is 0.1359 = 13.59%.
Answer:
$7.20
Step-by-step explanation:
If 8 pens cost $3.84, we need to find out how much ojne pen costs.
To find out the cost of one pen we need to divide $3.84 by 8.
$3.84 / 8 = $0.48
1 pen cost $0.48
We then need to work out the cost of 15 pens. So from using the information that one pen costs $0.48 we can multiply that by 15 to find out the answer.
$0.48 x 15 = $7.20
15 pens cost $7.20