Find the average of each of the following.
(a) $357, $452, $589, $602, $775

I need help anybody knows how to do? ​

Answer:

30 students are in the science class and 3 students recieved a failing grade.

Answer:

30, 3

Step-by-step explanation:

a. Let's call the total students x. If 40% x = 12, 0.4x = 12, x = 12/0.4 = 30 students.

b. We know that 100 - 40 - 30 - 20 = 10% of all students failed. This is 10% * 30 = 0.1 * 30 = 3 students.

Answer:

S(3)=22

Step-by-step explanation:

The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).

[tex]\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}[/tex]

[tex](Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}[/tex]

When t=0, S(t)=15

[tex]15=30+Ce^{-k*0}\\C=15-30\\C=-15[/tex]

When t = 2, S(t)=20

[tex]20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}[/tex]

Therefore:

[tex]S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22[/tex]

Answer:

$203.04

Step-by-step explanation:

First, you have to calculate the cost of sending one free sample and you could use a rule of three to find it:

23 onces → $0.36

69 onces →     x

x=(69 onces*$0.36)/23 onces= $1.08

Then, you can multiply the cost of sending one free sample for the quantity of samples Instant Meals wants to mail out:

$1.08*188= $203.04

According to this, the answer is that Instant Meals would spend $203.04 on postage to mail out one hundred eighty-eight samples.

Answer:

1570f³t

Step-by-step explanation:

V=πr²h

V=3.14×10²×5

V=3.14×100×5

V=314×5

V=1570

Answer:

Simply here we use system of 2 equations.

Step-by-step explanation:

Let x be the cost of one small shirt and let y be that of one large shirt.

(4x +14y =210) (-3)

12x +11y =110

-12x - 42y= -630 note:cross 12x and - 12x

12x +11y =110

__________

-42y +11y = - 630 +110

-31y = -520

Y=520/31

Replace y in second equation:

12x +11y =110

12x +11(520/31) =110

12x +5720 =110

12x =110 - 5720/31

X= - 385/62

So one small shirt costs - 385/62 $

And a large one costs 520/31 $

Though I think there's something wrong in this problem since i verified my answer using calculator the same prices are obtained and as u see the cost of a small shirt is negative which is unbelievable.. So plz make sure from anyone else. I tried my best to help.

Answer:

The margin of error for the​ 95% confidence interval for the population proportion is of 0.0287.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Find the margin of error for the​ 95% confidence interval for the population proportion.

We have that [tex]n = 820, p = 0.227[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.227*0.773}{820}} = 0.0287[/tex]

The margin of error for the​ 95% confidence interval for the population proportion is of 0.0287.

The percentage 0.03% when it is written as a decimal is equivalent to 0.0003.

A decimal is a number that is made up of integers and non-integers. The whole numbers are separated from numbers that are not whole number by a decimal point.

0.03% is equal to 0.03/100.

0.03/100 is equal to 0.0003

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Answer:

D

Step-by-step explanation:

The one dot that is a lot farther away from the rest of the points is an outlier so the answer is D.

Answer:

Step-by-step explanation:

Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.

a) P(X = n) = q(n-1)p, where q = 1 - p.

From the information given, probability if success, p = 12.6/100 = 0.126

b) for n = 3, the probability value from the geometric probability distribution calculator is

P(n = 3) = 0.096

For n = 5, the probability value from the geometric probability distribution calculator is

P(n = 5) = 0.074

For n = 12, the probability value from the geometric probability distribution calculator is

P(n = 12) = 0.8

c) For n ≥ 5, the probability value from the geometric probability distribution calculator is

P(n ≥ 5) = 0.58

d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.

Mean = 1/p

Mean = 1/0.126 = 7.9

Approximately 8 apples

Answer:

x=13/5

Step-by-step explanation:

Answer:

i need points sorry

Step-by-step explanation:

nfefgrn

Answer:

the weight of 1 textbook is 2 pounds

the weight of 1 game is about 0.5 pounds

Step-by-step explanation:

1/2 of 2 = 0.5 pounds

0.5 times 8 (games) = 4

22 - 4 = 18

18 divided by 9 (textbooks) = 2 pounds

Answer:

Each game is 0.5 pounds and each textbook is 2 pounds.

Step-by-step explanation:

If x represents games and y represents textbooks you can use the equation

6x + 9y = 21

we know that if the box was 21 pounds and she adds two games and it's now 22 pounds that each game is 0.5 pounds so x = 0.5

after plugging in the x value the equation is:

3 + 9y = 21

Combine like terms and it's 9y = 18

Divide 18 by 9 and you get:

Y= 2

Hope this helps! Good luck on your test.

Answer:

Scatter plots are used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another. Each row in the data table is represented by a marker whose position depends on its values in the columns set on the X and Y axes

Step-by-step explanation:

Answer:

Ignoring leap years, May has 31 days, a year has 365 days. 334 days of the year are NOT in May so the probability of a birthday not being in May = 334/365 = approximately 91.5%

Step-by-step explanation:

The probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur. Mathematically -

P(A) = n(A)/n(S)

Given is a person who is randomly selected.

Assume that Event A represents that the man's birthday is not on New Year's Day.

Total number of days in a year = n(S) = 365

Total number of days not on New Year's Day = n(A) = 364

Therefore, the probability that the man's birthday is in May will be -

P(A) = n(A)/n(S)

P(A) = 364/365

P(A) = 0.99

Therefore, the probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.

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Answer:

g(-2)

g(x)=2x^3 3x^2 =4

i'm not exactly sure what you are asking for but if its something like

g(x)=2x^3+3x^2-4 and then g(-2)

then you just have to multiply

2(-2)^3=-16

+3(-2)^2-4=8

=-8

2(-2)^3=-16

2(-2)^3-+3(-2)^2-4

=-32

Answer:

As a column vector 3a +b = (9,10)

Step-by-step explanation:

A =

(2

4)

b =

(3

-2)

3a = 3*2 = 6

3*4= 12

3a + b = 6. + 3

12. +(-2)

3a +b = 9

10

As a column vector 3a +b = (9,10)

Answer:

The correct options are;

a. False

b. True

c. True

d. False

Step-by-step explanation:

We look at each of the options as follows

a. A very high p-value is strong evidence that the null hypothesis is false;

The above statement is false because the p-value indicates the likelihood of the null hypothesis being correct, therefore, a high p-value is indicative of the correctness (truth) of the null hypothesis

b. A very low p-value shows that the null hypothesis is false

The above statement is true

c. A high p-value shows that the null hypothesis is true

The above statement is true

d. A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.

The above statement is false as the p-value below which we reject the null hypothesis is dependent on the value of the significance level, α.

Answer:

(a)

[tex]\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|[/tex]

(b)$2

Step-by-step explanation:

In the given game of rolling a die. these are the possible winnings.

There are 6 sides in the die.

[tex]P($obtaining a 1,2,4 or 6)=\dfrac46=\dfrac23\\P($obtaining a 3 or 5)=\dfrac26=\dfrac13[/tex]

(i)The probability distribution of x.

Let x be the amount won

Therefore:

Probability distribution of x.

[tex]\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|[/tex]

(ii) Expected amount of dollar won

Expected Amount

[tex]=\sum x_iP(x_i)\\=(0*\dfrac13)+(3*\dfrac23)\\=\$2\\[/tex]

You would expect to win $2.

Answer:

[tex]\angle G=20.8\approx 21^{\circ}[/tex]

Step-by-step explanation:

Given: In ΔGHI, [tex]\angle I[/tex]=90°, IG = 6.8 feet, and HI = 2.6 feet

To find: [tex]\angle G[/tex]

Solution:

Trigonometry defines relationship between the sides and angles of the triangle.

For any angle [tex]\theta[/tex],

[tex]tan\theta[/tex] = side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]

In ΔGHI,

[tex]tan G=\frac{HI}{GI}[/tex]

Put [tex]HI=2.6 \,\,feet\,,\,GI=6.8\,\,feet[/tex]

So,

[tex]tan G=\frac{2.6}{6.8}=0.38[/tex]

Therefore, [tex]\angle G=20.8\approx 21^{\circ}[/tex]

Answer:

G=24.6236≈24.6

Answer:

1. 5 packets

2. 3/8

1. 4/5 to 16/20

1/4 to 5/20                                

1/10 to 2/20

16- (2*5)= 16-10= 6                                

6/2 = 3 packets

2 pack.+3 pack.= 5 packets

2. 1/2= .5

.5*3/4=.375

.375=3/8

Answer:

Step-by-step explanation:

Hello,

[tex]\Delta = 2^2-4*3*(-4)= 4+48=52[/tex]

so the two solutions are

[tex]\dfrac{-2+2\sqrt{13}}{2*3}=\dfrac{\sqrt{13}-1}{3}=0.87\\\\\dfrac{-2-2\sqrt{13}}{2*3}=-\dfrac{\sqrt{13}+1}{3}=-1.54\\\\[/tex]

Answer:

15.3 litres

Step-by-step explanation:

You can do this many different ways, but this is how i did it:

1) I'm going to find how much gas it takes to travel just 1 km.

So, to drive for 1 km, I only need 18/420 litres of gas.

*you can solve this, but you'll just get a really long decimal, so i find it easier just to keep it as a fraction until i'm at the end of solving.

2) Now times the amount of petrol it takes to travel 1 km by 357, to find the final answer.

18/420 x 357 = 15.3 litres

Hope that helped : )

Answer:

Solution is 4/9

Explanation:

A box contains:

2 red marbles,

3 white marbles,

4 green marbles,

1  blue marble.

=> Total:  2 + 3 + 4 + 1 = 10

After selected a blue one without replacement, the remaining number: 10 - 1 = 9

=> Probability of drawing a green one: P = 4/9.

Hope this helps!

:)

Answer:

7

Step-by-step explanation:

Work backwards:

(37-9)÷4=input

28÷4=input

input=7

The input was 7

Answer:

Range. The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values

Step-by-step explanation:

1 T-Shirt for every 5 people

First of all, B & C are wrong, because they say 5 T-shirts for one person.

Next, we will look at A & D. A is more grammatically correct, and so you should use A.

OR

Answer:

The last one

The answer is 11x/21

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] \frac{11x}{21} [/tex]

Step-by-step explanation:

[tex] \frac{4x}{7} - \frac{x}{21} \\ = \frac{12x - x}{21} \\ = \frac{11x}{21} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: He can make 1/3 of pizza.

Step-by-step explanation: Divide 2/8 by 3/4. When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.

The required solution is  1/3.

It is required to find the remaining part to make one whole pizza.

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

He has 2/8 cup of cheese.

Divide 2/8 by 3/4.

When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.

Therefore, the required solution is  1/3.

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Answer:

See below

Step-by-step explanation:

Given polynomial is: [tex] 17x^2 - x[/tex]

a. Terms: [tex] 17x^2, \: \&\: - x[/tex]

b. 17 and - 1

c. Binomial or quadratic polynomial

Answer:

  all but the last two

Step-by-step explanation:

Rotation is a rigid transformation that moves every point of a figure through the same rotation angle about the center of rotation. Each point has the same distance from the center it had before the rotation. Hence the following are true:

__

Statements that do not apply are ...

- Segment CP is parallel to segment CP'. (A segment to the center of rotation will only be parallel to the corresponding segment on the image if the rotation is a multiple of 180°.)

- If the figure is rotated 180° about C, it will be mapped to itself. (This will be true in general only if C is a center of rotational symmetry of even order.)

Answer:

A,B,C

Step-by-step explanation:

I'm sure cause I got it right depends what your Edgenu is, mine is 2020