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daser333 [38]
3 years ago
6

Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob

ability distribution with a mean of 36 hours and a standard deviation of 5.1 hours. As a part of its quality assurance program, Power +, Inc. tests samples of 25 batteries.
What can you say about the shape of the distribution of the sample mean?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer:

UNTUU HULLUM

Overfishing occurs when more fish are removed from an ecosystem than can be maintained by the population,

Overfishing can lead to significant population declines in economically important species. The passage describes

additional impacts of overfishing on populations.

pressure affects

salmon fishery of

and 1970s, pink

n this fishery were

ihile allowing

nd 1974, the

inland spawning

approximately

to spawn at the

Isted that fishing

lower growth rates

According to the passage, which mechanism explains the observed changes in fish size over time?

A. Smaller fish produce fewer eggs than larger fish do, so they contribute fewer offspring to the next

generation.

B. Fish that are small enough to escape fishing nets are more likely to survive than larger fish.

C. Scientists found that Atlantic silversides exhibited changes in feeding and foraging rates after four

generations of selection,

D. The average size of pink salmon returning to spawn decreased from 6.0 pounds to approximately 4.5

pounds.

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Mark wants to buy a PS5 for $499.00. If tax in her local county is 7.75% of the total sale, what is the final cost?
Effectus [21]

Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Using this formula

Final cost =Total sales+ (Total sales×Tax)

Let plug in the formula

Final cost= $499.00+($499.00×7.75%)

Final cost= $499.00+$38.67

Final cost= $537.67

Final cost= $538 (Approximately)

Inconclusion Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Learn more here:

brainly.com/question/13040834

7 0
2 years ago
Read 2 more answers
Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0
3 years ago
Please help me! 15 points
arsen [322]

Answer:

a. The length of FA is 1.

b. The length of the radius (AC) is 2.

c. The circumference of the circle A is 4π units.

d. The measure of the minor arc BC is 107°.

e. The length of the minor arc BC is (107/90) π.

f. The m<BFC and m<EFD is 125.5°.

g. The m<BFE is 180°.


Step-by-step explanation:

Radius: R=AB=2

FC=1

Arc CD = 180°

Minor arc BD = 73°

Minor arc EC = 36°


a. What is the length of FA?

FA=AC-FC

AC is a radius, then AC=AB→AC=2

Replacing in the known values in the equation above:

FA=2-1

FA=1


b. What is the length of the radius (AC)?

The radius AC must be equal to the radius AB, then:

AC=AB→AC=2


c. What is the circumference of the circle A?

Circunference of circle A: L=?

L=2 π R

L=2 π (2)

L=4π


d. What is the measure of the minor arc BC?

Minor arc BC = arc CD - Minor arc BD

Minor arc BC = 180°-73°

Minor arc BC = 107°


e. What is the length of the minor arc BC?

Length of minor arc BC: l=?

l=(Minor arc BC / 360°) L

l=(107°/360°) 4π

l=(4*107/360) π

l=(107/90) π


f.  What is the m<BFC and m<EFD

<BFC and <EFD are interior angles, then:

m<BFC = m<EFD = ( Minor arc BC + Minor arc DE) / 2

Minor arc DE = arc CD - Minor arc EC

Minor arc DE = 180°-36°

Minor arc DE = 144°

m<BFC = m<EFD = ( 107° + 144° ) / 2

m<BFC = m<EFD = ( 251° ) / 2

m<BFC = m<EFD = 125.5°


g. What is the m<BFE?

<BFE is a straight angle, then m<BFE=180°





8 0
3 years ago
Type the integer that makes the following addition sentence true for Brainliest!!!!
Rasek [7]

Answer:

-10

Step-by-step explanation:

22-12=10

CHECK:

-12+(-10)=-22 (correct, and proven)

8 0
3 years ago
How many 45 degrees angle does it take to make a full turn?
kow [346]
The answer is 8

360/45=8

4 0
3 years ago
Read 2 more answers
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