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Salsk061 [2.6K]
1 year ago
12

(A) The weight of cans of vegetables is normally distributed with a mean of 1380 grams and a standard deviation of 80 grams. Wha

t is the probability that the sample mean of weight for 15 randomly selected cans is more than 1410
Mathematics
1 answer:
pychu [463]1 year ago
7 0

Answer:

7.35%

Step-by-step explanation:

μ = 1380

σ = 80  

n = 15  

P(x>1410)  

= (1410-1380)/((80)/(sqrt(15)))

= 1.4524  

P(z>1.4524) = 0.4265  (from the graph)

P(z>1.4524) = 0.5 - 0.4265 = 0.0735

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natka813 [3]
Toothpaste and food coloring
7 0
2 years ago
Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s e
SIZIF [17.4K]

Hello There!

<u><em>First we have to see how much does Gigi earns per hour.</em></u>

<u><em>For gardening, we are going to divide.</em></u>

<u><em></em></u>

<u><em>65 ÷ 5 ≈ 13</em></u>

<u><em></em></u>

<u><em>Gigi earns $13 for gardening for only 1 hour.</em></u>

<u><em></em></u>

<u><em>Second, we have to see how much Gigi earns per hour for office work.</em></u>

<u><em>We will divide </em></u>

<u><em></em></u>

<u><em>90 ÷ 9 ≈ 10</em></u>

<u><em></em></u>

<u><em>Now, we can see that Gigi earned $3 more per hour for gardening than for office work.</em></u>

<u><em></em></u>

4 0
2 years ago
The human eye blinks about 6.25x10 to the 6th power times each year. A seal blinks about 1.01x10 to the 3rd power times per year
OLEGan [10]
A human blinks 6,250,000 times a year.
A seal blinks 1,010 times a year.
8 0
2 years ago
Find the area of ΔAOB<br><br> 3√3 un2<br> 4.5√3 un2<br> 9√3 un2
Greeley [361]

Answer:

The area of the ΔAOB is 9\sqrt{3}\ unit^{2} .

Step-by-step explanation:

As given the figure

OA = OB = 6 unit

(Radius of the circle.)

In ΔAOB

As the two sides of a triangle thus there opposite angles are also equal .

∠A = ∠B

Let us assume that ∠A = ∠B = x°

∠A + ∠O + ∠B = 180°

(By using the angle sum property of a triangle.)

∠O = 60°

x° + 60° + x° = 180°

2x = 180 - 60

2x = 120

x = \frac{120}{2}

x = 60

∠A = ∠B = 60°

Thus

∠A = ∠B = ∠O = 60°

As all the angles of the ΔAOB are 60° thus ΔAOB is a equilateral triangle .

Also all the sides of the ΔAOB are also equal i.e AB = OA = OB = 6 unit .

Formula

Area\ of \ a\ equilateral\ triangle = \frac{\sqrt{3}}{4} a^{2}

Where a is the side of the equilateral triangle .

a = 6 unit

Put in the above formula

Area\ of \ a\ equilateral\ triangle = \frac{\sqrt{3}}{4}\times 6^{2}

6² = 36

Area\ of \ a\ equilateral\ triangle = \frac{\sqrt{3}}{4}\times 36

Area\ of \ a\ equilateral\ triangle = 9\sqrt{3}\ unit^{2}

Therefore the area of the ΔAOB is 9\sqrt{3}\ unit^{2} .

5 0
2 years ago
the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l
Alexxandr [17]
It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in

\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in


You can after that round the length to be 22.517 in



Hope you got the idea

3 0
2 years ago
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