Answer:
140 centimeters.
Step-by-step explanation:
Hello!
A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.
Find the longer length:
- 2.4 into 7:5
- 2.4 = 7x + 5x
- 2.4 = 12x
- x = 2.4/12
- x = 0.2
Now, we must find the longer length, 7x.
The longer length is 1.4 meters, but we want it in cm.
There are 100 centimeters in a meter.
- 1.4 meters = 1.4 * 100
- 1.4 meters = 140 centimeters
The longer length is 140 centimeters.
Answer:
<em>perimeter</em><em> </em><em>of </em><em>figure</em><em> </em><em>A </em><em>is </em><em>4</em><em>0</em><em> </em><em>cm</em>
<em>.</em><em>.</em>
<em>breadth </em><em>of </em><em>figure</em><em> </em><em>B </em><em>is </em><em>3</em><em>.</em><em>3</em><em>3</em><em>. </em><em> </em><em>{</em><em>ie,</em><em>3</em><em> </em><em>whole </em><em>4</em><em> </em><em>by </em><em>1</em><em>2</em><em>}</em>
Answer:
The answer to your question is the letter A.
Step-by-step explanation:
Data
Center = (2, 3)
radius = 2
Process
1.- Find the equation of the line
(x - h)² + (y - k)² = r²
-Substitution
(x - 2)² + (y - 3)² = 2²
-Simplification
(x - 2)² + (y - 3)² = 4
-Evaluate the points in the equation
A. (4, 3)
(4 - 2)² + (3 - 3)² = 4
2² + 0 = 4
4 = 4 This point lies in the circle
B (-1, 0)
(-1 - 2)² + (0 - 3)² = 4
-3² + (-3)² = 4
9 + 9 = 4 This point is not part of the circle
C. (1, 3)
(1 - 2)² + (3 - 3)² = 4
(-1)² + (0)² = 4
1 = 4 This point is not part of the circle
D. (3, 4)
(3 - 2)² + (4 - 3)² = 4
1² + 1² = 4
2 = 4 This point is not part of the circle
Answer:
≈ 38.14 cm²
Step-by-step explanation:
Diameter of circle= 6.97 cm
Area of circle = ?
- Area = πr² = πd²/4 =
- 3.14*(6.97)²/4 ≈ 38.14 cm²
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.