Integer expression
-20-55-2-5-1-27

Answer: The first one is the answer.

Step-by-step explanation: It is the first one because fractions and negative numbers are rational numbers, but aren't natural numbers. Natural numbers are numbers like 1,2,3,etc. Rational numbers are numbers are numbers like 1,-2,3/8,etc. Rational numbers are basically any number you could possibly think of.

Answer:

3/18

Step-by-step explanation:

Answer:

0.68269

Step-by-step explanation:

When we are to find the z score for population where a random sample is picked, the z.score formula we use is

z = (x-μ)/Standard error, where

x is the raw score,

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation

n = random number of samples

For : x = 38 minutes, μ = 40, σ = 10, n = 5

z = 38 - 40/10 /√25

= -2/10/5

= -2/2

= -1

Determining the probability value using z table

P(x = 38) = P(z = -1)

= 0.15866

For : x = 42 minutes, μ = 40, σ = 10, n = 25

z = 42 - 40/10 /√25

= 2/10/5

= 2/2

= 1

Determining the probability value using z table

P(x = 42) = P(z = 1)

= 0.84134

The probability that their average waiting time will be between 38 and 42 minutes is calculated as

P(-Z<x<Z)

= P(-1 < x < 1)

= P(z = 1) - P(z = -1)

= 0.84134 - 0.15866

= 0.68269

Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269

Answer:

expected gain = $940

Step-by-step explanation:

given data

sale in a certain warehouse = 10 moters

motors sell = $100

probability of defective = 0.03

solution

we get here expected total cost of 1 moter is the sum of product of gain and probabi;ity

EV = $100 × 0.97 + ( -$100 × 0.03)

EV = 94

so expected gain for seller on 10 moter is

expected gain = 10 × $94

expected gain = $940

Answer:

The probability that the paint  latex = 0.857

Step-by-step explanation:

From the given information:

Let consider X to be the event that the customer has purchased the latex paint

Let consider Y to be the event that the customer has purchased semigloss paint.

Now, the probability of X i.e. P(X) = 0.75

SInce X and Y are mutually exhaustive)

P(Y) = 1 - P(X)

P(Y) = 1 - 0.75

P(Y) = 0.25

Similarly, Let Consider Z be the event that the customer has purchased a roller.

We are being told that P(Z|X) = 0.6

P(Z|Y) = 0.30

[tex]P(X|Z) = \dfrac{P(Z|X)(P(X) }{P(Z|X)*P(X)+P(Z|Y)*P(Y)}[/tex]

[tex]P(X|Z) = \dfrac{0.6 \times 0.75 }{(0.6 \times 0.75) +(0.3 \times 0.25)}[/tex]

[tex]P(X|Z) = \dfrac{0.45 }{(0.45) +(0.075)}[/tex]

[tex]P(X|Z) = \dfrac{0.45 }{0.525}[/tex]

[tex]P(X|Z) = 0.857[/tex]

Thus, the probability that the paint  latex = 0.857

The concept of probability is used in order to determine the probability that the paint is latex and the probability is 0.857.

Given :

First, determine the probability that a customer will purchase semigloss paint.

[tex]P(A) = 1- P(B)\\P(A) = 1 - 0.75\\P(A) = 0.25[/tex]

In the above expression P(B) is the probability that a customer will purchase latex paint.

Now, determine the probability that the paint is latex.

[tex]P(B|C) = \dfrac{P(C|B)\times P(B)}{P(C|B)\times P(B)+P(C|A)\times P(A)}[/tex]

Now, substitute the values of all the known terms in the above expression.

[tex]P(B|C) = \dfrac{0.6\times 0.75}{(0.6\times 0.75)+(0.3\times 0.25)}[/tex]

Simplify the below expression.

[tex]P(B|C) = \dfrac{0.45}{(0.45)+(0.075)}[/tex]

[tex]P(B|C) = \dfrac{0.45}{0.525}[/tex]

[tex]P(B|C) = 0.857[/tex]

So, the probability that the paint is latex is 0.857.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer: (total amount paid - $40) / 0.05

Step-by-step explanation:

Given the following :

Monthly fee = $40

Additional fee = $0.05 per minute on phone

Given the the amount paid for the month is available, number of minutes he was on phone can be determined thus :

Total amount to be paid = monthly fee + additional fee

Additional fee = $0.05 × n

Where n = number of minutes on phone

Hence,

Total amount paid = $40 + $0.05n

If the amount paid is known, the number of minutes on phone can be calculated thus;

(Total amount paid - monthly fee) = $0.05n

n = (Total amount paid - monthly fee) / fee per minute on phone

(total amount paid - $40) / 0.05

Answer:

7 miles

Step-by-step explanation:

The pool is 7 miles from the library. Hope it helped and make me brainliest.

Answer:

x^2-x+5

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

= (x^2 + 3) - (x - 2)   (Don’t forget the -1 multiplies to the x AND -2

= x^2 + 3 - x + 2

=x^2-x+5

*correct data set given: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.

Answer:

See attachment

Step-by-step explanation:

To create a dot plot, first, prepare a tally for the given data set as follows:

Ounces of water => frequency

8 => 3

16 => 3

32 => 6

64 => 7

80 => 4

88 => 3

Next is to draw a scaled horizontal line. This will indicating the number of ounces of water each student drank. The frequency for each will determine how many dot to be plotted against each amount of ounces represented.

A simple dot plot has been created and attached below. Each dot represents the amount of water, in ounces, drank by each of the 26 students.

Answer:

See Explanation

Step-by-step explanation:

The data give is for 25 students not 26 as stated in the question

First, we need to plot the frequency table:

This is done as follows:

Ounces of Water ----- Frequency

8  ----------------------------- 3

16 ----------------------------- 3

32 ---------------------------- 6

64 ---------------------------  7

80 ----------------------------- 3

88 ----------------------------- 3

Next, we can now plot the dot plot using an interval of 8 on the x axis

(See Attachment)

Answer:

1

Step-by-step explanation:

If the x-value is -4, go to -4 and go up to the line.

1

Answer:

Standered Notation

1. 2.5 x 10 x 10 x 10

2. 3.442 x 10 x 10 x 10 x 10

Scientific notation

1. 4.59 × 10^9

2. 3.442 × 10^4

Step-by-step explanation:

Brainiest please.

Answer:

Angle bisector

Step-by-step explanation:

an angle bisector cuts an angle in half. COA goes from point c to point o to point a to make an angle. and OB is the exact middle of the angle. hope this helps :)

The angle measuring 122 degrees is supplementary to the angle next to it.

Supplementary angles are angles that add up to 180 degrees.

180 = ? + 122

Subtract 122 from both sides.

58 = ?

Now we know that the triangle has a 58 degree angle and a 90 degree angle.

58 + 90 + x = 180

Combine like terms.

148 + x = 180

Subtract 148 from both sides.

x = 32 degrees

Answer: 500 + 100d

Step-by-step explanation:

trust, cmon g

Answer:

500+100(x)

Step-by-step explanation:

i not 100% sure, but i hope this helps

Answer:

x=22.5

Step-by-step explanation:

the left side is a right angle meaning that is is 90 degrees, so 4x = 90, divide by 4 and you get x=22.5

1. Positively correlated: Population and income (A) - As population increases, income tends to increase. Option A is correct.

2. Negatively correlated: Temperature outside and ice cream sale - As temperature increases, ice cream sales tend to decrease. Option A is correct.

1. Two things that are positively correlated are population and income.

In this correlation, we observe that there is a positive relationship between the size of a population and the income level of that population.

This means that as the population of a region or country increases, the average income or total income tends to increase as well.

This correlation is often seen in developed countries where higher population centers are associated with better economic opportunities, leading to higher income levels.

2. Two things that are negatively correlated are temperature outside and ice cream sales.

In this negative correlation, we find that as the temperature outside increases, the sales of ice cream tend to decrease.

This is a common observation in many regions with seasonal changes. As the weather gets hotter (higher temperature), people may seek ways to cool down, and ice cream becomes a popular choice.

On the other hand, when the weather is colder, people are less likely to buy ice cream, leading to lower sales.

Hence, two things that are negatively correlated are temperature outside and ice cream sales. Option A is correct.

To learn more on Correlation click here:

https://brainly.com/question/30116167

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Complete question

1. Two things that are positively correlated are:

(A) population and income.

(B) age and weight in babies.

(C) age and weight in adults.

(D) income and gift giving.

2. Two things that are negatively correlated are:

(A) temperature outside and ice cream sales.

(B) number of failing grades and likelihood of graduation.

(C) number of menu offerings and restaurant revenue.

(D) amount of income earned and amount of income tax paid.

Answer:

no

Step-by-step explanation:

each standard deck of cards have 4 of each.

Answer:

5:8

Step-by-step explanation:

Answer:

5:8

Step-by-step explanation:

Its really simple! if you see there are 5 cows, than thats the first, and if theres 8 cows than thats the second! the ratio without numbers  is cow:horses and then just plug in the numbers!

can i have brainliest? I would really appericate it!

Answer:

47 sorry if wrong

Step-by-step explanation:

Answer:

D. 43°

Step-by-step explanation:

Angle CAB = 180° - 133° = 47° (Angles on a Straight Line add up to 180°)

Angle ACB = 180° - 90° = 90° (Angles on a Straight Line add up to 180°)

Angle p or ABC = 180° - 90° - 47° = 43° (Angles in a Triangle add up to 180°)

Answer:

432cm^3

Step-by-step explanation:

Volume=l×b×h

=9×8×6

432cm^3

Answer:

i think its - The chapter test and retest Q3 are the same, but the chapter test has the higher median.

Step-by-step explanation:

if i'm wrong please let me know.

Answer:

C )The chapter test and retest Q1 are the same, but the retest has the higher median.

Answer:

An axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

Step-by-step explanation:

Problem 18

The x should not be in the denominator. If it was in the denominator, then you wouldn't have a linear equation in the form y = mx+b

Instead, you should have written [tex]y = \frac{1}{17}x+\frac{63}{17}[/tex] or y = (1/17)x + 63/17

Comparing that to y = mx+b form, we see that m = 1/17 is the slope and b = 63/17 is the y intercept.

============================================

Problem 19

This problem isn't fully shown. The right portion is cut off. I have a feeling the same issue is happening here though. Try moving the x term like mentioned in problem 18. Also, don't forget about the "y=" portion.

Step-by-step explanation:

Close.  You correctly set up the integrals.  When integrating e²ˣ:

∫ e²ˣ dx

½ ∫ 2 e²ˣ dx

½ e²ˣ + C

So the coefficient should be ½, not 2.

[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹

[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]

1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1

-e⁻¹ + ½ e⁻² + ½ e² − e  + 1

Answer:

[tex]\mathrm{Solution: - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2} + 1}[/tex]

Step-by-step explanation:

Your set up for the 'area of the shaded region' is absolutely correct. But when it comes to evaluating them, you are slightly off.

If we break this expression into parts, we have (eˣ - 2e²ˣ)dx on the interval [- 1 to 0] and (e²ˣ - eˣ)dx on the interval [0 to 1]:

(eˣ - 2e²ˣ)dx on the interval [- 1 to 0],

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

=> eˣdx - e²ˣdx on the interval [- 1 to 0]

=> [tex]1-\frac{1}{e}-\frac{e^2-1}{2e^2}[/tex]

(e²ˣ - eˣ)dx on the interval [0 to 1],

[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]

=> e²ˣdx - eˣdx on the interval [0 to 1],

=> [tex]\frac{e^2-1}{2}-e+1[/tex]

And now if we add the remaining fractions as expected, we will receive our answer. The set up would be as follows:

[tex]1-\frac{1}{e}-\frac{e^2-1}{2e^2}+\frac{e^2-1}{2}-e+1\\=> - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2}-1 + 2\\=> - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2} + 1\\\\\mathrm{Solution: - e + \frac{1}{2e^2}-\frac{1}{e}+\frac{e^2}{2} + 1}[/tex]

Answer:

The ratio between 36 kg and 24 kg = (36 kg)/(24 kg)

= 36/24, [both numerator and denominator are divided by 12]

= 3/2

= 3 : 2.

Answer:

5220

Step-by-step explanation: