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lyudmila [28]
3 years ago
14

PLEASE HELP ME ASAPPP!!! WORK DUE SOON :(

Mathematics
1 answer:
Dominik [7]3 years ago
4 0

Answer:

 1) The third option.

2) The last option.

Step-by-step explanation:

1) f(x) is greater on the interval (0,3), which is opened, because if  you substitute x=2 you obtain the following result:

f(2)=4\\g(2)=(2)^{2}-6(2)=-8

2) If x=3, you obtain that:

 g(3)=-9\\f(3)=9

Therefore: f(3)>g(3)


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Help pzzzzzzzzzzzzzz
inn [45]

Answer: 1) The value of the 3 in option A is 10x the value of the 3 in option B

2) Option A has the 3 in the ones places, Option B has the 3 in the tenths place

Step-by-step explanation:

3 0
3 years ago
2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for
kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The variables are listed as follows:

  • \pi is the sample proportion, which is also the estimate of the parameter.
  • z is the critical value.
  • n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \frac{1+0.90}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given as follows:

n = 150, \pi = \frac{15}{150} = 0.1

The margin of error is of:

M = z\sqrt{\frac{0.1(0.9)}{150}} = 0.0245 = 2.45\%

The interval is given by the estimate plus/minus the margin of error, hence:

  • The lower bound is: 10 - 2.45 = 7.55%.
  • The upper bound is: 10 + 2.45 = 12.45%.

For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.1(0.9)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.1(0.9)}

\sqrt{n} = \frac{1.645\sqrt{0.1(0.9)}}{0.03}

(\sqrt{n}})^2 = \left(\frac{1.645\sqrt{0.1(0.9)}}{0.03}\right)^2

n = 271 (rounded up).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

3 0
1 year ago
Determine the domain and range of the given function
Neporo4naja [7]

Answer:

List all of the solutions.

T

y

=

4

=

2

=

x

=

−

2

=

2

=

4

=

4

=

Step-by-step explanation:

3 0
3 years ago
There are 57 people and i want everyone to have a slice of cake and i want to pay as little as possible and I want them to be th
julsineya [31]
So,

If you do some simple division, you will find how much each cm costs in each cake.
20cm cake = 67.5 cents/cm
25cm cake = 93.75 cents/cm

Assuming that you cannot order fractions of cakes, the best deal would be to order 5 of the 20cm cakes.
Cost = 13.50 * 5 = $67.50

You will have to pay $67.50 for the cakes if you want the best deal.
8 0
3 years ago
An art exhibit at a local museum features several similarly shaped metal cubes welded together to make a sculpture. The smallest
borishaifa [10]

Answer: Length of other edges will be 7.5 inches, 8 inches, 9 inches, 10.5 inches, 12 inches.

Explanation:

Length of smallest cube = 6 inches

Ratio of similarity to the smallest cube is given as follows:

1) 1.25

So, length of other edge will be

1.25\times 6=7.5\ inches

2) 4:3

So, the length of other edge will be

\frac{4}{3}\times 6=8\ inches

3) 1.5

So, length of other edge will be

1.5\times 6=9\ inches

4) 7:4

So, length of other edge will be

\frac{7}{4}\times 6=10.5\ inches

5) 2

So, length of other edge will be

2\times 6=12\ inches

5 0
3 years ago
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