A ball is thrown with an initial velocity of 32 ft/s from a height of 4.5 feet. It’s height as a function of time is given by the equation h(t)=-16t2+32t+4.5. How long will the ball be in the air, and how high does the ball go?

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the question is incomplete, but based on directives from brainly i did an online search and i was able to get the complete question.

Researchers studying anthropometry collected body girth measurements

and skeletal diameter measurements, as well as age, weight, height and gender, for 507 physically

active individuals. The histogram below shows the sample distribution of heights in centimeters(a) What is the point estimate for the average height of active individuals? What about the  median?

(b) What is the point estimate for the standard deviation of the heights of active individuals?

What about the IQR?

(c) Is a person who is 1m 80cm (180 cm) tall considered unusually tall? And is a person who is  1m 55cm (155cm) considered unusually short? Explain your reasoning.

(d) The researchers take another random sample of physically active individuals. Would you

expect the mean and the standard deviation of this new sample to be the ones given above.

Explain your reasoning.

(e) The samples means obtained are point estimates for the mean height of all active individuals,

if the sample of individuals is equivalent to a simple random sample. What measure do we use  to quantify the variability of such an estimate? Compute this quantity using the data from  the original sample under the condition that the data are a simple random sample

Step-by-step explanation:

1. the point estimate for the average height is the mean = 171.1

the median of active individuals is 170.3

2. point estimate of sd = 9.4

to get IQR

[tex]Q3-Q1[/tex]

= 177.8 -163.8

= 14

3. mean +- SD

171.1 +-2(9.4)

171.1+18.8  = 189.9

171.1-18.8 = 152.3

[189.9, 152.3]

180CM is within the limits of 2SD. so a height of 180cm is not unusually tall

155 cm is within the 2sd limit so this height is not unusually short

4.

mean and sd are not same. a great probability exists that a different sample would have similar but different results if the same sample size is 507.

5.

[tex]9.4/sqrt507[/tex]

= 0.417

≈ 0.42

Answer:

$40

Step-by-step explanation:

1=8

5x8=40

Answer:

40 shillings.

Step-by-step explanation:

If 1 ticket=8 shillings, what about 5 tickets?

8 shillings multiplied by 5 it will be 40 shillings.

Answer:

above is right

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there is six sides so theres only a 1/6 chance it will land on 6

Answer:

So essentially, you are trying to find what the overall whole is based off of a number that is the percent of the number. In order to do this, you must turn your percentage into a fraction over 100. You are going to then create the number that is a percentage of another number into a fraction over "x". Cross multiply the two fractions. Since there is an "x", count is as a zero. Now, create a fraction with the numerator as the number you just got from multiplying, and the denominator as the number you have to refer to as the percent of the whole. Since fraction is division, divide the two numbers and you get your answer. Sorry if this is so complex I tried to simplify it as best as I could

Step-by-step explanation:

Example: 8 is 80% of what number?

80% to 80/100

8 to 8/x

*cross multiply*

80x/80 = 800/80

800 divided by 80 is 10.

so, 8 is 80% percent of 10.

Answer:

QR=3, PQ=3, RP=6, SP=9, RS=3, ST=11, RT=14, QR=3

Step-by-step explanation:

Answer:

B, it will float bc it is less dence. give me brainliest ;)

Step-by-step explanation:

Answer:

Left: -1 2/3

Right: -1 1/4

Answer:

A. [tex]Ratio = 3:1[/tex]

B. [tex]Ratio= 9:3[/tex]

Step-by-step explanation:

Given

[tex]Ratio= 27:9[/tex]

Required

Determine equivalent ratios:

[tex]Ratio= 27:9[/tex]

First, we simplify the ratio to the least possible

[tex]Ratio = 27/9:9/9[/tex]

[tex]Ratio = 3:1[/tex]

By comparison with the given options, we have A and B as answer.

See Proof Below

Proof: A

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Proof B

[tex]Ratio= 9:3[/tex]

Simplify the ratio to the least possible

[tex]Ratio= 9/3:3/3[/tex]

[tex]Ratio= 3:1[/tex]

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Answer:

9:3 and 3:1

Step-by-step explanation:

I just did this lesson

Answer:

Step-by-step explanation:

(7p² + 4p+3)-(4p²- 3p+1)

opening the brackets

7p² + 4p + 3 - 4p²+ 3p - 1

By grouping the like terms,

7p² - 4p² + 4p + 3p + 3 - 1

3p² + 7p + 2

Hope this helps

plz mark as brainlest!!!!!!!

Answer:

1000

Step-by-step explanation:

270 is 30% of 900 total who completed.

900 is 90% of 1000

Answer:

57

Step-by-step explanation:

57-12=45. Simple subtraction/addition

9514 1404 393

Answer:

  f'(2) ≈ −1.3508

Step-by-step explanation:

The derivative of the function is ...

  f'(x) = 5(-e^-x·ln(x^2 +5x) +e^-x·(2x +5)/(x^2 +5x))

Then ...

  f'(2) = 5e^(-2)(-ln(14) +9/14) ≈ -1.3508

Answer:

There are 209 4-digit nu numbers with 17 as consecutive digits

Step-by-step explanation:

17xx xx represent 00 through 99, a set of {100} members.

y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}

ww17 which includes 10 thru 99, a set of {90}

Add 100+90+10+9 to get 209 possible combinations.

Answer:

0.92

Step-by-step explanation:

a. What is the probability that at least one of the stocks will rise in price? (Round your answer to 2 decimal places.)

P(A) = 0.42

P(B) = 0.58

P(A|B) = 0.14

Step 1

P(A|B) × P(B) = 0.14 × 0.58

= 0.0812

The probability that at least one of the stocks will rise in price

P(A) + P(B) - 0.0812

0.42 + 0.58 - 0.0812

= 1 - 0.0812

= 0.9188

Approximately to 2 decimal place = 0.92

Answer:

jessie: 14.5

ben: 10.5

This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.

Step-by-step explanation:

Orlando's number of apps = 22

Maria's number of apps = 7

Given,

Maria has 15 fewer apps on her phone than Orlando.

The total number of apps on both phones is 29.

We need to find out how many apps are on each phone.

- M fewer than N by 2

This means if N = P then M = P - 2

- M more than N by 2

This means if N = P then M = P + 2

We have,

Total number of apps = 29 _____(1)

Maria has 15 fewer apps on her phone than Orlando.

We can write this as:

Orlando's number of apps = O.

Now,

Maria's number of apps = O - 15

Now,

From (1)

Orlando's number of apps + Maria's number of apps = 29

O + O - 15 = 29

2O - 15 = 29

2O = 29 + 15

20 = 44

O = 44/2

0 = 22

Orlando's number of apps = 22

Maria's number of apps = 22 - 15 = 7

Thus,

Orlando's number of apps = 22

Maria's number of apps = 7

Learn more about how to find the number of apps for each person here:

https://brainly.com/question/13502950

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Answer:

3/6 ‍♀️

Step-by-step explanation:

the ratio of ten more than three times a number to the square of the same number is equal to ... Write an expression for the number of circles in the Nth figure.

Answer:

7 circles and 6 squares

Step-by-step explanation:

7 to 6

Answer : definitely sampling error

Answer:

74

Step-by-step explanation:

Answer:74 students ate soup

Step-by-step explanation:

37% of 200 = 74

or

.37 x 200 = 74

The solution for the equation -2(2x + 5) - 3 = -3(x - 1) is x = - 16 which can be solved by the use the distributive property.

Distributive Property that when we multiply a number by a group of numbers that are added together, we can multiply each value in the group separately, then add the products of the multiplications.

-2(2x + 5) - 3 = -3(x - 1)

To solve this equation, we need to first use the distributive property to expand the left side of the equation.

We have:

-4x-10-3 = -3(x - 1)

-4x-13 = -3(x - 1)

Now, we can group the like terms on the left side and the right side of the equation.

On the left side, we have -4x - 13 and on the right side, we have -3x + 3.

-4x-13 = -3x + 3

To solve for x, we can add 3x to left side of the equation and add 13 to the right side.

This results in the equation:

-4x+ 3x  = 13 + 3

Now, we can add 3x with -4x of the equation to isolate the x-term.

We have:

-x = 16

x = - 16

For more questions related to equation

https://brainly.com/question/17145398

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Answer:

B

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the cost data: 10,6,8,10,4,3.5,7.5,8,9

A.) Median cost :

Sorted data:

3.5, 4, 6, 7.5, 8, 8, 9, 10, 10

0.5(n + 1)th term ; n = number of samples

0.5(9 + 1)th term

= 0.5(10)th term = 5th term

Median = 5th term = 8

B.) First quartile (Q1) :

0.25(n + 1)th term ; n = number of samples

0.25(9 + 1)th term

= 0.25(10)th term = 2.5th term

Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5

Q1 = 5

C.) interquartile range = (Q3 - Q1)

Q3 = 0.75(n + 1)th term ; n = number of samples

0.75(9 + 1)th term

= 0.75(10)th term = 7.5th term

Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5

Q3 = 9.5

Q3 - Q1 = (9.5 - 5) = 4.5

D.) Mean (μ) :

μ = ΣX / n

n = sample size

μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9

μ = 66 / 9

μ = 7.33

3.) Population variance (s²)

Σ(x - μ)² / n - 1

=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9

= 45.5001 / 8

= 5.687

Answer:

2346

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.

Answer:

If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:

A(t) = c×e^(dt)

where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)

I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.

This relationship solving for the remaining miligrams can be given by:

A(t) = 190 mg × e ^ (-.36t)

Where t is the amount of hours.