To answer, allow the width of the frame to be represented by x. The dimensions of the frame should then be, 11+2x and 6+2x. Subtracting the area of the inside of the frame from the area of the outside should be able to give us 18 cm². The equation,
(11 + 2x)(6 + 2x) - (11)(6) = 18
The value of x from the equation is equal to 0.5. Thus, the width of the frame should be 0.5 cm.
3.9 * 5.3 ≈ 4 * 5
≈20
Well after doing your multiplication, you can place your decimal point by knowing that from estimation the answer is around 20.
So you can place your decimal point after the first two digits from the left.
Answer:
We conclude that cheddar popcorn weighed less than 5.5 ounces.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ =5.5 ounces
Sample mean, 
= 5.23 ounces
Sample size, n = 64
Alpha, α = 0.05
Sample standard deviation, σ = 0.24 ounce.
First, we design the null and the alternate hypothesis
We use One-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.
Answer:
Step-by-step explanation:
To find the amount deposited, we will simply use the formula for calculating simple interest.
Simple Interest = pxrxt/100 (fraction)
Where p = principal
R= Rate
T= Time
Principal is the initial amount deposited which we are ask to find.
R is given to be 6% and T is the time which is given in years
Simple interest is the interest earned over the year which is given to be $400
Lets substitute our variable into the equation
Simple Interest = pxrxt/100 (fraction)
$400 = P × 6 × 3 / 100
$400 = 18p/100 (fraction)
We will then cross multiply
$40 000 = 18 P
To get the value of P, we divide both-side of the equation by 18
4000/18 = 18p/18 (fractions)
$2222.22 = P
P = $2222.22
credits: ummuabdallah
