A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).

x
y
0
0
15
3
30
6

Assuming there is a proportional relationship, which additional set of values could be included in the table?
(10, 2)
(40, 9)
(50, 38)
(100, 76)

it is 15 if you add and then divid

Answer:3/8

Step-by-step explanation:

Percent to the nearest whole number = 7%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability = (Number of possible outcomes)/(Total number of outcomes)

Total number of outcomes = 2 + 15 + 2 + 11 = 30

Number of possible outcomes = 2

Probability = 2/30 = 1/15 = 0.0666

Percent to the nearest whole number =  0.0666 *100 = 7%

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Answer:7

Step-by-step explanation:

Answer:

y>7

Step-by-step explanation:

y-4>3

+4     +4

y>7

Answer:

The answer is -77

Step-by-step explanation:

Hope this helped! Have a great day!

Answer:

the empty boxes would both be 4

but it says only put the number one time in answer

so it would be 4

Step-by-step explanation:

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

Probability is 0.00039, or about a 0.039% chance of occurrence

Step-by-step explanation:

Because you know that p=0.48 is the probability that a customer will order a non-alcoholic beverage, then q = 1-p = 1-0.48 = 0.52 is the probability that a customer won't order a non-alcoholic beverage. Because 12 customers are involved, then by the binomial theorem, the probability that none of the 12 customers order a non-alcoholic beverage is p = (0.48)⁰(0.52)¹² ≈ 0.00039 or 0.039%

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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After solving by linear programming, the business needs create 100 Type I pencils and 80 Type II pencils to increase revenue.

LINEAR PROGRAMMING: WHAT IS IT?

A mathematical method called linear programming is used to maximise a linear objective function under the restrictions of linear equality and inequality. In a mathematical model whose requirements are expressed by linear connections, it is used to identify the best result.

With linear programming, this issue can be resolved.

Please define x as the quantity of Type I pencils produced and y as the quantity of Type II pencils produced.

Profit = 3x + 5y is the formula for the goal function.

2x + 5y 660 are the restrictions (sanding constraint)

(Polishing constraint): x ≥0 y≥ 0; 6x + 3y 730

Under these limitations, we wish to maximize the profit function.

The largest profit comes when x = 100 and y = 80,

with a profit of $740, according to software that can solve linear programming issues or a graphing calculator.

Thus, the business needs create 100 Type I pencils.80pencil for type II

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Answer:

true

Step-by-step explanation:

the slope is 3

so the equation would be

y=3x

hope this helps :3

if it did pls mark brainliest

The balloons of each color that Marty inflated are:

This is further explained below.

Generally, the equation for the statement is mathematically given as

w= r+225

w - 225 = r

Therefore

w - 116 = b

Where

r + w + b = 1147

(w - 225 )+w +( w - 116)=1147

3w = 1147 + 341

w = 496

In conclusion, For Red

w - 225 = r

496 - 225 = r

r=271

Marty inflate red 271 ballons

For  blue

w - 116 = b

496  - 116 =380

b=380

Marty inflate red 380 ballons

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Answer:

10

Step-by-step explanation:

56 ÷ 7 = 8 each.

80 ÷ 8 = 10

ANSWER

f(f(f(x - 1))) = x + 5

EXPLANATION

We have the function:

f(x) = x + 2

First, let us find f(x - 1). To do that, replace x with x - 1:

f(x - 1) = x - 1 + 2

f(x - 1) = x + 1

To find f(f(x - 1)), we need to replace the value of x in the function with the value of f(x - 1).

That is:

f(f(x - 1)) = f(x + 1) = x + 1 + 2

f(f(x - 1)) = x + 3

To find the value of f(f(f(x - 1))), we replace the value of x in the function with the value of f(f(x - 1)):

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

f(f(f(x - 1))) = x + 5

That is the answer.

Answer:

Step-by-step explanation:

B, Yes and by AA

When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.

When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.

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Answer:

1.) x = 9  2.) x=8

Step-by-step explanation:

1.) add 24 to both sides

\(2x=-6+24\)

\(2x=18\)

divide 2 to each term

\(\frac{2x}{2}=\frac{18}{2}\)

\(x=9\)

2.)multiply both sides by 3

\(4x+1=11(3)\)

\(4x+1=33\)

subtract both sides by 1

\(4x=33-1\)

\(4x=32\)

divide each term by 4

\(\frac{4x}{4} =\frac{32}{4}\)

\(x=8\)

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

On solving the provided question we can say that - the value of the trignometric function will be -cos(t)+2cosec(t)

The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.

here,

(sint(t) + cos(t))\(^{2}\) =(sint +cost)(sint - cost)

=|  -cos(t)+2cosec(t) |

= -cos(t)+2cosec(t)

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Answer:

Martin saved $75 on the television because of the sale

Step-by-step explanation:

Equations

Let's call x=the original price of the television (before discount).

The television had been on sale for 25% off, this means the discount was:

25% of x = \(\frac{25}{100}.x\) = 0.25x

The sale price was the original price minus the discount:

x - 0.25x = 0.75x

This is what Martin paid, thus:

0.75x = 225

Dividing by 0.75:

x = 225 / 0.75

x = $300

The original price of the television was $300, and the discount was:

0.25*$300 = $75

Martin saved $75 on the television because of the sale

Answer:

Step-by-step explanation:

Regs.

Spinner A and Spinner B below are each to be spun once.

0 18

O 12

6

Spinner A

5

2

4

00

Answer:

3x + n+6

Step-by-step explanation:

The required expression to represent the situation is; 3n+18

According to the question;

Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.

Hence, 3 times the absolute value is;

Hence, upon evaluation; the expression is; 3n + 18

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Answer:

The First one

Step-by-step explanation:

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Answer:

324 1/4

Step-by-step explanation:

Answer:

43580627 _(ﾟ◇ﾟ；)ノﾞ

Step-by-step explanation:

1.1     81 = 34

(81)1 = (34)1 = 3

         34

Simplify   ——

           4

y+12=16.6 y is the examiner

Step-by-step explanation:

plzz mark as brainliest

Answer:

Im pretty sure its 12 im sorry if im wrong.

Step-by-step explanation:

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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