TRUE/FALSE. analysis is defined as describing the data in the sample with the use of percentages or averages.

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Answer:

see explanation

Step-by-step explanation:

-3/4 + 5 = 4 and 1/4 = y = 17/4

Or for -3/4x + 5 =

Answer:

10 units

Step-by-step explanation:

use distance formula to solve for this!

distance formula is

the square root of the change in x squared + the change in y squared.

sqrt (3+3)^2 + (|-3-5|)^2

sqrt 36 + 64

sqrt 100 = 10

the distance is 10 !

Answer:

the ditstance between (3,-3) and (-3,5) is 10

Step-by-step explanation:

we know the distance in a cartesian axis is

\( \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} }\)

so the answer is calculated 10

The answer is x=-4

I’ve attached my work explaining why below :)

x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

Two or more expressions with an Equal sign is called as Equation.

The given equation is -2(3x + 6) = 4(x + 7

We need to find the inequality which represents the solutions of the equation.

Let us solve for x

-2(3x + 6) = 4(x + 7)

Apply distributive property

-6x-12=4x+28

Take the variable terms on one side.

-6x-4x=28+12

-10x=40

Divide both sides by 10

x=-4

Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

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According to given conditions, a possible solution is (1,-2).

What is expression ?

An expression is a mathematical phrase that contains variables, numbers, and operators (such as +, -, *, /, and parentheses) and represents a value. Expressions can include variables, and the value of the expression depends on the values of those variables. For example, "3x + 5" is an expression, where x is a variable. If x = 2, then the value of the expression is 3(2) + 5 = 11.

Since we have two inequalities, we need to find the region that satisfies both inequalities.

First, let's graph the line y = 2x-3. This line has a y-intercept of -3 and a slope of 2. We can plot two points on this line: (0,-3) and (1,-1).

Next, we need to shade the region below this line since the inequality is y < 2x-3.

Now let's graph the line y = 5. This line is a horizontal line passing through y=5. We can see that the region above this line satisfies the inequality y > 5.

The solution region is where the two shaded regions overlap, which is the region above the line y=5 and below the line y=2x-3.

To find a specific point in this region, we can choose any x-value in the region and then solve for y using one of the inequalities. For example, if we choose x=1, then y < 2(1)-3, so y < -1.

Therefore, according to given conditions, a possible solution is (1,-2).

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The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

A = P(1 + r/n)^(nt)

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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The value of x with the given condition is 10

From the question, we have the following parameters that can be used in our computation:

D(7,2), E(1, 9), F(4,8), and G(x, 1),

Also, we have

DE || FG

This means that the lines DE and FG are parallel lines and they have equal slope

The slope is then calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

(9 - 2)/(1 - 7) = (1 - 8)/(x - 4)

Evaluate the difference

-7/6 = -7/(x - 4)

So. we have

x - 4 = 6

Evaluate

x = 10

Hence. the value of x is 10

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Answer:

2 hours and 28 minutes

Step-by-step explanation:

English = 1 1/6 hrs = 1hr 10min (1/6×60 to obtain the minutes part)

Maths = 1 3/10hrs = 1hr 18min (3/10×60)

Total time = 2hrs 28 mins

Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610

Answer:

see the attachment photo!

Explanation:

3 feet = 1 yard

14*(3 feet) = 14*(1 yard) .... multiply both sides by 14

42 feet = 14 yards

The carpet is 14 yards by 14 yards.

Its area is 14*14 = 196 square yards.

Since it costs $25 per square yard, this means the total cost is 25*196 = 4900 dollars

The set of points related to an exponential function and matched with set of translated points are, respectively:

(x, y) = (- 1, 0.5) → (x', y') = (2, - 1.5)

(x, y) = (0, 1) → (x', y') = (3, - 1)

(x, y) = (2, 4) → (x', y') = (5, 2)

(x, y) = (3, 8) → (x', y') = (6, 6)

(x, y) = (1, 2) → (x', y') = (4, 0)

(x, y) = (- 2, 0.25) → (x', y') = (1, - 1.75)

According to statemente, we find the case of set of points related to an exponential function and a set of translated points, after a quick inspection we derive the transformation rule:

Horizontal translation: 3 units right, vertical translation: 2 units down.

Now we check the statement on each ordered pair:

(x, y) = (- 1, 0.5):

(x', y') = (- 1, 0.5) + (3, - 2) = (2, - 1.5)

(x, y) = (0, 1):

(x', y') = (0, 1) + (3, - 2) = (3, - 1)

(x, y) = (2, 4):

(x', y') = (2, 4) + (3, - 2) = (5, 2)

(x, y) = (3, 8):

(x', y') = (3, 8) + (3, - 2) = (6, 6)

(x, y) = (1, 2):

(x', y') = (1, 2) + (3, - 2) = (4, 0)

(x, y) = (- 2, 0.25):

(x', y') = (- 2, 0.25) + (3, - 2) = (1, - 1.75)

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Answer:

270 ft³

Step-by-step explanation:

1/2x9x6x10=270

Answer:

Since AB  = AC  ....the angles opposite these sides are also equal...

So   y   =    [ 180 - 24 ] / 2   =  156 /  2    =   78°

Step-by-step explanation:

Hope that helps, let me know if theres anything wrong with my answer

please click thanks button or something

thanks babe!

Answer:

1.581

Step-by-step explanation:

Given the data:

13 15 14 16 12

The point estimate of the standard deviation will be :

√Σ(x - mean)²/n-1

Mean = Σx / n = 70 / 5 = 14

√[(13 - 14)² + (15 - 14)² + (14 - 14)² + (16 - 14)² + (12 - 14)² / (5 - 1)]

The point estimate of standard deviation is :

1.581

Answer:

f(t) = 101,234

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2/3 • 6

*Multiply 2 and 6 by 3.

= (2 × 6) / 3

= 12/3

*12 divided by 3 is equal to 4.

= 4

___________

hope it helps!

Answer:

a) 0.7847 = 78.47% probability that no samples are mutated.

b) 0.9769 = 97.69% probability that at most one sample is mutated.

c) 0% probability that more than half the samples are mutated.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they are mutated, or they are not. The probability of a sample being mutated is independent of any other sample, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

2% of cases.

This means that \(p = 0.02\)

12 samples are studied

This means that \(n = 12\).

(a) No samples are mutated.

This is \(P(X = 0)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{12,0}.(0.02)^{0}.(0.98)^{12} = 0.7847\)

0.7847 = 78.47% probability that no samples are mutated.

(b) At most one sample is mutated.

This is:

\(P(X \geq 1) = P(X = 0) + P(X = 1)\)

Then

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{12,0}.(0.02)^{0}.(0.98)^{12} = 0.7847\)

\(P(X = 1) = C_{12,1}.(0.02)^{1}.(0.98)^{11} = 0.1922\)

\(P(X \geq 1) = P(X = 0) + P(X = 1) = 0.7847 + 0.1922 = 0.9769\)

0.9769 = 97.69% probability that at most one sample is mutated.

(c) More than half the samples are mutated.

This is:

\(P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)\)

So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{12,7}.(0.02)^{7}.(0.98)^{5} \approx 0\)

So the others(greater than 7) wil be 0 too

0% probability that more than half the samples are mutated.

Money made during peak season = 1,800,000 * p

1. Expression for money made during peak season:

During peak season, the zoo has about 1,800,000 visitors. To calculate the money made during peak season, we multiply the number of visitors by the price of one peak season ticket (p):

Money made during peak season = 1,800,000 * p

2. Expression for money made during the off season:

The zoo wants to sell tickets in the off season for half the price of tickets in the peak season. Therefore, the price of one off season ticket would be p/2. To calculate the money made during the off season, we multiply the number of visitors by the price of one off season ticket:

Money made during the off season = 1,200,000 * (p/2) = 600,000 * p

3. Inequality for breaking even:

To break even, the zoo needs to make at least as much money as they spent on the animals. Let's represent the amount spent on animals as A. The money made during peak season plus the money made during the off season should be greater than or equal to the amount spent on animals:

1,800,000 * p + 600,000 * (p/2) ≥ A

Simplifying the inequality:

3,600,000p + 300,000p ≥ 2A

3,900,000p ≥ 2A

Solving for p:

p ≥ (2A) / 3,900,000

This determines the minimum price of one peak season ticket to break even.

The price of one off season ticket would be half the price of one peak season ticket, so the off season ticket should be (p/2).

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Answer:

Step-by-step explanation:

Volume

V = w h l

V = 2*15*13

V = 390 ft^3

-------------------------

Surface area

SA = b*h

SA = 15*13

SA = 195

-------------------------

b) Surface area

C) Volume

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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Answer:

me too (help)

Step-by-step explanation:

The equivalent expression for the new price of the purchase, b - 0.14·b, at the store is; New price = 0.86·b

A mathematical expression comprises of well arranged mathematical symbols based on the subject matter, that indicates a value.

The percentage coupon the store manager is given = 14% off the total purchase

The original price of the purchase = b

The expression for the new price = b - 0.14·b

Therefore, the equivalent expression for the combined price can be obtained by combining like terms as follows;

b - 0.14·b = b × (1 - 0.14) (Converse of the distribution property of multiplication)

(1 - 0.14) = 0.86

Therefore; b × (1 - 0.14) = b × 0.86 = 0.86·b

b - 0.14·b = b × (1 - 0.14) = 0.86·b

b - 0.14·b = 0.86·b

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Answer: now u can crown him

Step-by-step explanation:

Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

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Answer:

No

Step-by-step explanation:

I don't think it is proportional

Here it is not proportional.

What is proportional?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.

Here given that,

\(y=-\frac{5}{9x}\)

Here it is not proportional.

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Answer:

10cm

Step-by-step explanation:

Since ABC and DEF are similar, the ratio of their side is always the same.

The ratio here is:

DF/AC = 6/4 = 1.5

Therefore, it means that BC x 1.5 = EF

So:

BC x 1.5 = 15

BC = 15 / 1.5 = 10cm.