11/2 is the fraction in its simplest form
Answer:
138
Step-by-step explanation:
We know that there are at least 3 short sleeved shirts and there are at least 7 long sleeved shirts. And we know it's in that ratio. So the best way to start this is to divide 460 by 7+3 to get the single unit amount of both shirts.
46 is the single unit amount. So 46 * 3 will get us our short sleeved shirts:
46 * 3 = 138
To check our answer, we'll take 460-138 and divide that by 7 to see if we get 46:
322/7 = 46
So the answer is correct!
Answer:
Step-by-step explanation:
The x-intercept exists when y = 0; the coordinate that results from our x-intercept is (4, 0).
The y-intercept exists when x = 0; the coordinate that results from our y-intercept is (0, -2).
We can use these 2 coordinates to find the slope of the line we need to write:

Now we can use that slope along with one of our points to write the equation of the line. I am going to use the point-slope form, then we will solve it for y to put it into slope-intercept. Let's use the coordinate (4, 0). Keep in mind that regardless of which point we choose to use to write our equation, we will get the same equation.
y - 0 = 1/2(x - 4) and
y = 1/2x - 2
That's your equation!
Answer:
the last side is 30 inches
Step-by-step explanation:
Answer:
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
Step-by-step explanation:
The value of the chi-square test statistic was 7.82 and the p- value is 0.02. This means that if the null hypothesis were true there is a 2 percent chance of obtaining a chi square value of at least 7.82
The p- value is defined as obtaining the test statistic under H0 as extreme as observed.
When the p- value is less than 0.05 in the chi square goodness fit test it means that the null hypothesis is rejected.
There fore option C is the best answer.
A)There is a 2 percent chance that the company's claim is correct.
B) There is a 2 percent chance of obtaining a chi-square value of at least 7.82.
C) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of at least 7.82.
D) If the null hypothesis were true, there is a 2 percent chance that the company's claim is correct.
E) If the null hypothesis were true, there is a 2 percent chance of obtaining a chi-square value of 7.82.