Complete Question
William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?
a) 1.25p−0.9≤7.5
b) 1.25p+0.9≤7.5
c) 1.25p+0.9≥7.5
d) 1.25+0.9p≤7.5
Answer:
b) 1.25p+0.9≤7.5
Step-by-step explanation:
William has $7.50 to spend at the pretzel shop.
This means Williams can spend at least $7.50
A pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and ?pretzel
Therefore, the inequality can be used to find the number of pretzels William can buy is written as
1.25p+0.9≤7.5
Option b is the correct option
Answer:
y = -3x + 1
Step-by-step explanation:
Plug in your x (2) and y (-5) values into your slope-intercept formula (y=mx+b).
-5 = -3(2) +b
Solve for b:
-5 = -3(2) + b
-5 = -6 + b
1 = b
Plug in the value of <em>b, </em>and<em> </em>the slope (-3) for the formula:
y = -3x + 1
Answer:
82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:

Approximately what percentage of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter?
This is the pvalue of Z when X = 5.4 subtracted by the pvalue of Z when X = 4.2. So
X = 5.4



has a pvalue of 0.9842
X = 4.2



has a pvalue of 0.1611
0.9842 - 0.1611 = 0.8231
82.31% of women have red blood cell counts in the normal range from 4.2 to 5.4 million cells per microliter
Okay, first, given the equation, we need to find out what the radius of the circle is. Let us state the general equation of a circle:

Where

is the centre of the circle. In this case, we don't need to know the centre. Just the radius.
Let us start by converting the equation into standard for, which I typed above. Divide both sides by 81.

Great! We now know the radius of the circle. It is

because it is the bottom fraction. Now we know that the radius is 9.
So now lets input this into the area of circle formula:
Now we insert our radius.
You can convert that into a decimal if you wish.
Hope this helped!
~Cam943, Moderator