Answer:
The Answer is x=6 2/3
Step-by-step explanation:
The Area of a triangle is A= 1/2 bh, so we should think of the triangle as half of a square/rectangle. This means the total area of the theoritical Square is 400 sq ft. We then figure out this equation:
12 * 5x = 400
400/12 = 5x
80/12 = x which is equal to 6 2/3.
Hope this helps!
24 = x% * 32
24= x/100 * 32
Multiply 100 on both sides.
2400 = x * 32
32x = 2400
Divide 32 on both sides.
x = 2400/32
x = 75
75 percent<span> of 32 is 24</span>
Answer:
Step-by-step explanation:
Hello!
So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:
X: "Lifetime of one shoe pair of the new model"
Applying CLT:
X[bar]≈N(μ;σ²/n)
Known values:
n= 30 shoe pairs
x[bar]: 17 months
S= 5.5 months
Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:
H₀:μ=15
H₁:μ≠15
The significance level for the test is given: α: 0.05
Your critical region will be two-tailed:
So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96
Now you calculate your observed Z-value
Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99
σ/√n 5.5/√30
Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.
I hope you have a SUPER day!
Answer:The general equation of a sphere is: (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) represents the center of the sphere, r represents the radius, and x, y, and z are the coordinates of the points on the surface of the sphere.
Step-by-step explanation:
Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.
<h3>
What is Cost Price?</h3>
Cost price is the amount we pay to buy an item at which it is available.
Here,
Selling price of a cake = 200 cedis
Discount because of sale = 10% on each unit.
(Only if 4 cakes purchased at a time)
Amanda purchased 8 cakes
So, Amanda need to pay only 90 percent of the total amount.
Total cost price of 8 cakes for Amanda = (200 X 90%) X 8
= 180 X 8
= 1440
Thus, Amanda needs to pay 1440 cedis for purchasing 8 cakes on discounted price.
Learn more about Cost Price from:
brainly.com/question/11027396
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