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4 years ago

Pilar is analyzing the frequency table below. Find her mistake and correct it

Mathematics

1 answer:

PIT_PIT [208]4 years ago

8 0

Answer:

15 people live at a distance less than or equal to 1.5 miles from school

Step-by-step explanation:

It seems that in the intervals shown the interval limits are included.

That is, in the interval 1.1-1.5 miles, there may be values that are equal to 1.5 miles or equal to 1.1 miles.

The sum of the frequencies for the first three intervals, ranging from 0.1 to 1.5 miles, results in a frequency of 15.

Pilar concluded that 15 people live less than 1.5 miles away. His mistake is that he forgot that 1.5 miles is included in the interval, and therefore among these 15 people there may be someone who lives at 1.5 miles.

His conclusion should have been the following.

15 people live at a distance less than or equal to 1.5 miles from school

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A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight

bixtya [17]

Answer:

The percentage is 55% when weight limit is 33 pounds.

The percentage is 190% when weight limit is 114 pounds.

The 95% of the limit weighs 57 pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{33}{60}\times100 = 55\%$

Hence The percentage is 55% when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{114}{60}\times100 = 190\%$

Hence The percentage is 190% when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{95}{100}\times60 = 57 \pounds$

Hence The 95% of the limit weighs 57 pounds.

4 0

4 years ago

The answer plsssssssssssss

slega [8]

Answer: -3 again

Step-by-step explanation: Sorry if it is wrong

7 0

3 years ago

A bacteria triples its original population in 25 hours (A=3A0). How big will its population be in 100 hours?

jeyben [28]

Answer:

81 times the original size.

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

5 0

3 years ago

Read 2 more answers

Aarón made a picture frame with the dimensions show in the figure what is the area of the picture

tatuchka [14]

Answer:

Area of the picture is $72\textrm{ }cm^{2}$

Step-by-step explanation:

Given:

Outer rectangle dimensions are 10 cm by 12 cm.

Inner rectangle dimensions are 6 cm by 8 cm.

Area of the picture given as:

$Area=\textrm{Outer rectangle area}-\textrm{Inner rectangle area}$

Outer rectangle area = $10\times 12=120\textrm{ }cm^{2}$

Inner rectangle area = $6\times 8=48\textrm{ }cm^{2}$

Therefore, the area of the picture is given:

$Area=120-48=72\textrm{ }cm^{2}$

4 0

3 years ago

2−1/2n=3n+16 n=3n+16

romanna [79]

Answer:

The answer is

n=5 3/5

Step-by-step explanation:

first collect the like terms:

2-1/2n=3n+16

then...

3n-1/2=16-2

==2 1/2n = 14

===n=5 3/5

3 0

4 years ago