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d1i1m1o1n [39]
2 years ago
9

A regulation baseball can weigh no more than 149 grams. A factory produces baseballs with weights that are normally distributed

with a mean of 146 grams and a standard deviation of 2.3 grams. (a) If a baseball produced by the factory is randomly selected, what is the probability that it is within regulation weight? (b) The baseballs are shipped in boxes of 16. What is the probability that at least 15 of the 16 baseballs in a pack are within regulation weight? (c) The factory will not ship a box of 16 if the average weight of the baseballs in the box exceeds 147 grams. What is the probability that a pack of 16 baseballs would have an average weight of more than 147 grams?
Mathematics
1 answer:
cluponka [151]2 years ago
5 0

90.32% probability that it is within regulation weight

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A heap of rubbish in the shape of a cube is being compacted into a smaller cube. Given that the volume decreases at a rate of 3
inna [77]

Answer:

-1/4 meter per minute

Step-by-step explanation:

Since, the volume of a cube,

V=r^3

Where, r is the edge of the cube,

Differentiating with respect to t ( time )

\frac{dV}{dt}=3r^2\frac{dr}{dt}

Given, \frac{dV}{dt}=-3\text{ cubic meters per minute}

Also, V = 8 ⇒ r = ∛8 = 2,

By substituting the values,

-3=3(2)^2 \frac{dr}{dt}

-3=12\frac{dr}{dt}

\implies \frac{dr}{dt}=-\frac{3}{12}=-\frac{1}{4}

Hence, the rate of change of an edge is -1/4 meter per minute.

4 0
2 years ago
Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
TiliK225 [7]

we know that

For a polynomial, if x=a is a zero of the function, then (x−a) is a factor of the function. The term multiplicity, refers to the number of times that its associated factor appears in the polynomial.

So

In this problem

If the cubic polynomial function has zeroes at 2, 3, and 5

then

the factors are

(x-2)\\ (x-3)\\ (x-5)

Part a) Can any of the roots have multiplicity?

The answer is No

If a cubic polynomial function has three different zeroes

then

the multiplicity of each factor is one

For instance, the cubic polynomial function has the zeroes

x=2\\ x=3\\ x=5

each occurring once.

Part b) How can you find a function that has these roots?

To find the cubic polynomial function multiply the factors and equate to zero

so

(x-2)*(x-3)*(x-5)=0\\ (x^{2} -3x-2x+6)*(x-5)=0\\ (x^{2} -5x+6)*(x-5)=0\\ x^{3} -5x^{2} -5x^{2} +25x+6x-30=0\\ x^{3}-10x^{2} +31x-30=0

therefore

the answer Part b) is

the cubic polynomial function is equal to

x^{3}-10x^{2} +31x-30=0

7 0
2 years ago
Read 2 more answers
Ms. Lopez draws two cylinders on the whiteboard. The first cylinder has a diameter of 6 inches and a height of 14 inches. The se
chubhunter [2.5K]

Answer:

7 inches

Step-by-step explanation:

Height : Diameter

14 : 6

H : 3

H/14 = 3/6

H = 14 × 3/6

H = 7

7 0
2 years ago
PLEASE HELP!! ASAP!!! 20 POINTS. David proved the Law of Cosines with reference to triangle abc using a different method.Arrange
sleet_krkn [62]

Answer:

Top-to-bottom, the boxes have this order in the proof: 1, 7, 4, 3, 9, 8, 5, 2, 6.

Step-by-step explanation:

The basic idea is to use the Pythagorean theorem to write two expressions for the length of altitude BD, also called "k", then equate them and simplify the result. This leaves an expression for DC, also called "x", which is replaced by a cosine expression to complete the proof.

Finally, the variations involving other combinations of sides and angles are suggested as being provable in the same way.

3 0
2 years ago
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if the sales tax rate is 7.25% in california, then how much would u pay in los angeles for a coat that cost $120.00
natima [27]

Answer:

The amount to be pay for coat is <u>$128.70</u>.

Step-by-step explanation:

Given:

The sales tax rate is 7.25% in California.

The cost for a coat in Los angeles is $120.00.

Now, to find amount to be paid.

Sales tax = 7.25%.

Cost = $120.00.

So, amount to be paid = $120 + 7.25% of $120.00.

=120+\frac{7.25}{100} \times 120.

=120+\frac{870}{100}.

=120+8.70

=\$128.70

Therefore, the amount to be pay for coat is $128.70.

7 0
2 years ago
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