Answer:
10m.
Step-by-step explanation:
Since there is no remainder we simply need to find the least common multiple of each of the lengths of Janice and Jasmin's strings until we find a multiple that matches for each. Like so...
2*1 = 2 5*1 = 5
2*2 = 4 5*2 = 10
2*3 = 6
2*4 = 8
2*5 = 10
Finally, we have found the first common multiple which is 10m. That means that the shortest equal length for both Janice's and Jasmin's ribbon is 10m.
Answer:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is our quadratic:
where s(t) is the position of the object after all the stuff on the right side happens to it. If the object lands on the ground after all that stuff happens to it, its height is 0. Subbing in a 0 for s(t) gives us:
and if the object hits the ground at 21 seconds, we can sub in a 21 for each t to get this:
and do the math.
and solving for the height:
h = 1845.9 meters
Answer:
Diameter = 49
radius = 49/2
circumference of circle is = <em>2</em><em>π</em><em> </em><em>r</em>
<em>=</em><em>. </em><em> </em><em>2</em><em>*</em><em>2</em><em>2</em><em>/</em><em>7</em><em>*</em><em>4</em><em>9</em><em>/</em><em>2</em>
<em>=</em><em> </em><em>1</em><em>5</em><em>4</em><em> </em><em>cm</em>
<em>hope</em><em> it</em><em> helps</em>
Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:
It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that
Value of the test-statistic:
P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.