(PLEASE HELP) A teacher surveyed a sample of students from Lake Middle School. He asked the students where they'd like to go for a field trip. He recorded these results:

• 80 chose the aquarium.

• 60 chose the science center.

• 30 chose the planetarium.

• 40 chose the farm.

The teacher wants to figure out the relative frequency of a student choosing the aquarium. He'll then estimate how many students out of all 1000 at the school are likely to choose the aquarium.

(he surveyed 210 students and about 38% of them chose the aquarium)

Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium.

Answers

Answer 1

Answer:

relative frequency of choosing aquarium is 80/210

about 400 students out of 2000 will choose aquarium

Step-by-step explanation:

relative frequency of choosing aquarium is 80/210

proportion:

a = students who choose aquarium

80/210 = a/1000

210a = 80000

a = 80000/210 which is close to 80000/200 which equals 800/2 or about 400 students


Related Questions

25 points and brainliest for correct answer!!

Convert to standard form equation. Quadratics

Only the y=1/3x^2+2 and the y=-1/7x^2+12

Answers

Answer:

For the y=1/3x^2+2 the answer is For the second  one y=-1/7x^2+12 the answer is

Step-by-step explanation:

PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.

How will you model the simulation for the roll of a die?

Answers

Answer: C. Use the numbers 1-3 to represent all the outcomes.

Step-by-step explanation: I got this question correct on Edmentum.

B
15. x =
106
(10x -23)
D

Answers

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...

  2(10x -23)° +106° = 360°

  2(10x -23) = 254 . . . . . . . . divide by °, subtract 106

  10x -23 = 127 . . . . . . . . . divide by 2

  10x = 150 . . . . . . . . . . add 23

  x = 15 . . . . . . . . . . . divide by 10

HELP ME WITH THISSS!!!!!!!!!!!!!!!!!!!

Answers

The answer is 138.5

18 times 200 is how much


dont actually answer i just wanna talk

Answers

18 time 200 is 3600 that's it

Answer:

hey lily its Josh i just wanted to say im sorry for not talking to yu but i do still love and miss yu nd be careful ok and we need to catch up whenever ur free

Step-by-step explanation:

Five boxes of fruit snacks cost $22.50.
How much would three boxes cost?

How much would nine boxes cost?

How much would x boxes cost?

Answers

Answer:

13.5 answer is 13.5 and one cost 4.5

What does b equal in the picture below?

Answers

Answer:

87

Step-by-step explanation:

just subtract 16 from 103

Which of the following has the greatest value?
A) 0.8
B) 0.45
C) 5/7
D) 0.647
E) 9/11

Answers

A
Because 0.8 is equaled to 8/10 which is greater than all
It’s A 0.8 hope you needed that

Find the surface area of the rectangular prism:​

Answers

Answer: 430 cm²

Step-by-step explanation:

1) Front x Back=  15 x 7  x 2= 210 (We do time 2 because there are two of the same shapes ex. there are two squares that are both 16 ft so just do 16 x 2)

2) Right x Left=  7 x 5 x 2 = 70

3) Top x Bottom=  15 x 5 x2 = 150

4) Add. 150 + 210 + 70 = 430 cm²

Hope that helped! :)

y = x2 – 3x + 2
use the discriminant to determine the number of solutions​

Answers

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

Mj3mar gave the answer thanks to him I wouldn’t have got my question right

Please help for brainliest
No files!
10 points!

Answers

hi! so you just divide the amount of money by the nights and which ever is the lowest number that’s the cheapest motel hope that helps<3

Answer:

Simple division

Step-by-step explanation:

Take each total price and divide it by the number of nights stayed. Once you have your answer to all three, compare and the lowest number is your answer.

What is the area of a triangle with a base of 4.8 mm and a height of 3.7
mm? *

Answers

Answer:

8.88 square mm

Step-by-step explanation:

The formula for solving a triangle is base multiplied by height divided by 2 or 1/2(b)(h)

So by plugging in what you have, you'll get 1/2(4.8)(3.7) as your equation. 4.8(3.7) = 17.76 which simplifies your equation to 1/2(17.76) or 17.76/2.

17.76/2 = 8.88

So, the area of the triangle is 8.88 square millimeters.

Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?

Answers

Answer: $83.95

Step-by-step explanation:

Hope this helps!

drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition
(3+4)+2=9 ​

Answers

Answer:

It would be (3+2)+4=9

Step-by-step explanation:

you just have to switch to numbers.

What number in Arabic numerals is Roman numeral MCMXLI
(Enter numeric value only.)

Answers

Answer:

1941

Step-by-step explanation:

Hope this helped!!!

It would be the year 1941

HALLLPPP I RLLY NEED UR HELLLPP PLSSSS!!!
(And pls explain how exactly you got your answer thank you so much!)

Find the Compound Interest.

Principal: 1,000
Interest Rate: 3%
Time: 3 years

Answers

Answer:

92.727

Step-by-step explanation:

The formula for compound interest is [tex]P((1+i)^{t} -1)[/tex], where P is the principal amount, i is the interest rate and t is the time. Sub your values into this formula to find your answer.

1000((1+0.03)³-1)

1000(1.03³-1)

1000(1.092727-1)

92.727

1000(0.092727)

please help I'll give brainliest

You are wrapping a cube shape present that is 1.5 feet tall. How much wrapping paper will you need to wrap the entire present?​

Answers

the answer is going to be 6.0

Step-by-step explanation:

1.5 + 1.5 = 3

3 + 3 = 6

An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.

Answers

Answer:

95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Step-by-step explanation:

Given the data in the question;

correlation coefficient y between output and time under a load of 588 N was −0.9515

so first we determine the quantity W.

we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])

we substitute -0.9515 for r

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])

W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])

W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )

W = [tex]\frac{1}{2}[/tex]( -3.6948975 )

W = - 1.8474

So the quantity W is normally distributed with  standard deviation given by;

σ[tex]_w[/tex] = 1 / √(n - 3)

given that n is 33,000, we substitute

σ[tex]_w[/tex] = 1 / √(33,000 - 3)

σ[tex]_w[/tex] = 1 / √32997  

σ[tex]_w[/tex] = 0.0055

Now, at 95% confidence interval, μ[tex]_w[/tex] will be;

⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )

⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078

⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366

So to obtain 95% confidence interval for p, we use the following equation;

we transform the inequality

p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]

we substitute

[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]

[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]

[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]

[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]

-0.9525 < [tex]p[/tex] < -0.9505

Therefore,  95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505

Suppose that you are examining the difference in ages between brides and grooms. You are interested in conducting a significance test to examine to address the theory that the bride is younger than the groom in more than half of all marriages. A sample of 100 couples were observed, for which 67 had a bride younger than the groom.
whats is the parameter? .
Step 2: The null hypothesis and alternative hypothesis?
Step 5: whats the p-value is:

Answers

Answer:

Parameter = 0.5

Null hypothesis : H0 : P0 = 0.5

Alternative hypothesis ; H0 : P0 > 0.5

Pvalue = 0.99966

Step-by-step explanation:

The parameter defines a statistical value or calculation which is derived from the population.

The parameter in this scenario is the population proportion, P0 which is 0.5

The scenario above describes a scenario to test the difference in population.

The null hypothesis, that bride and groom are of the same age ;

H0 : P0 = 0.5

The alternative hypothesis ; the bride is younger Than the groom in more than half of the population.

H1 : p0 > 0.5

To obtain the Pvalue :

Test statistic : (phat - P0) ÷ √(p0(1 -p0) / n)

Phat = x/n

x = 67 ; sample size, n = 100

Phat = x / n = 67/100 = 0.67

P0 = 1 - 0.5 = 0.5

Tstatistic = (0.67-0.50) ÷ √(0.5(0.5) / 100)

Tstatiatic = 0.17 ÷ 0.05

Tstatistic = 3.4

P-value : p(Z < 3.4) = 0.99966 (Z probability calculator).

choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10​

Answers

Answer:

69

Step-by-step explanation:

trust me

austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?

Answers

Answer:

2 years

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Which statement about all expressions is true? A All expressions contain only numbers. B All expressions are mathematical statements with an equal sign. C All expressions contain variables. D All expressions are mathematical phrases with no equal sign.​

Answers

Answer:

c

Step-by-step explanation:

Answer:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

Step-by-step explanation:

Please help mehhhhhh

Answers

Answer: They should be 1.5 apart from each other

the final game is altered. bag one 5 red balls

Answers

Answer:

what are you talking about

Step-by-step explanation:

Answer:

five red balls one bag

There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and receieve prizes. How many receieved prizes? Brainly.Ph Please Paki Sagot po In English Kailangan ko na po ngayon!! :)​

Answers

Answer:

Total number of pupils who received the prize = 10

Step-by-step explanation:

Number of boys in the Math Quiz Competition = 40

Number of girls = 20

Percentage of girls who received the prize = 20%

Therefore, number of girls who received prize = 20% of 20

                                                                             = [tex]20\times \frac{20}{100}[/tex]

                                                                             = 4

Percentage of boys who received the prize = 15%

Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]

                                                                                     = 6

Total number of pupils who received the prize = 4 + 6 = 10

(D) Work out
1/4 of 28

Answers

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

Washington (CNN) About three-quarters of Americans (77%) approve of President Donald Trump's decision to meet with North Korean leader Kim Jong Un, according to a new CNN pollconducted by SSRS. Trump's approval rating for handling the situation with North Korea has jumped 10 points since late March.
...
The CNN Poll was conducted by SSRS May 2-5 among a random national sample of 1,015 adults reached on landlines or cellphones by a live interviewer. Results for the full sample have a margin of sampling error of plus or minus 3.6 percentage points; it is larger for subgroups.
Assuming that the level of confidence and the statistic remain the same what would happen to the Margin of Error if they had surveyed 2,030 adults instead of 1,015?
a. The margin of error would increase.
b. The margin of error would decrease.
c. The margin of error would stay the same.
d. It will depend on how the people in the sample respond.

Answers

Answer:

b. The margin of error would decrease.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.

In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.

The winning height for the men's Olympic high jump has been increasing each year. A regression line of the data is y = 0.23x + 70.8, where
y is the height of the men's winning jump in inches and x is the number of years since the first Olympics in 1896.
Which statement best describes the meaning of the y-intercept of the regression line?
A. The winning men's high Jump helght of the first Olympics was about 0.23 inches.
B. The winning men's high jump helght of the first Olympics was about 70.8 inches.
C. Each year the winning men's high jump helght is predicted to increase by 0.23 inches.
D. Each year the winning men's high jump helght is predicted to increase by 70.8 inches.

Answers

The y intercept of the equation is the 70.8.

The answer would be

B. The winning men's high jump helght of the first Olympics was about 70.8 inches.

Answer:

the answer is c

Step-by-step explanation:

because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.

Given the feasible region graphed below, where will the maximum value of the objective function f(x, y) = −2x + y − 1 occur?
a. (3, 0)
b. (−3, 0)
c. (0, −3)
d. (0, 0)

Answers

b is the correct answer

The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).

What is a function?

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.

The objective function is given as f(x, y) = −2x + y − 1.

For the maximum value all the options are analysed one by one as follows,

(a) Substitute x = 3 and y = 0 in the given objective function to obtain,

-2 × 3 + 0 - 1 = -7

(b) Substitute x = -3 and y = 0 in the given objective function to obtain,

-2 × -3 + 0 - 1 = 5

(c) Substitute x = 0 and y = -3 in the given objective function to obtain,

-2 × 0 + -3 - 1 = -4

(d)  Substitute x = 0 and y = 0 in the given objective function to obtain,

-2 × 0 + 0 - 1 = -1

Hence, the maximum value of the given objective function occurs at (-3, 0).

To know more about function click on,

https://brainly.com/question/21145944

#SPJ2

BRAINLIEST if correct

Answers

Answer: The area of rectangle U is 12.

Step-by-step explanation:

We can solve this by finding the ratio of the two rectangle lengths which are given. We see that the ratio is 2/1. Now, from here you have two options to go. The first option is dividing 48 / 8 which is 6. Now you divide 6 / 2, because 2 is the scale factor. 6 / 2 = 3. 4 * 3 = 12, giving us the area of 12. Another way to do it is since the scale factor is 2, the ratio of the areas are the scale factor squared. 48 / 2 ^ 2 = 48 / 4 = 12.

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