solve for x 2/10=3/x-9

Answer:

1.B

2.B

hope this helps

Answer:

B. 62mph

B. 55weeks

Step-by-step explanation:

496 ÷ 8 = 62

15weeks/3houses = x weeks/11houses

15 × 11 ÷ 3 =55weeks

good luck, i hope this helps :)

It is False if the mean of a data set is large, the standard deviation has to be large also as standard deviation doesn't depend on mean.

The statistical measure of standard deviation measures the degree of variance or dispersion among a group of data values. It displays the average difference between the values in a dataset and their mean.

False. A data set's mean and standard deviation are two different measures of the data, and neither one automatically indicates anything about the other. By adding together all the values and dividing by the total number of values, the mean, which serves as a gauge of the data set's centre, is determined. By calculating the average deviation of each value from the mean, the standard deviation—a measure of the data's spread—is determined.

It is possible for a data set to have a large mean and a small standard deviation, a small mean and a large standard deviation, or any value in between. The values of the data collection determine everything.

To learn more about standard deviation, Visit

brainly.com/question/475676

#SPJ4

In Cartesian coordinates, (a) \( \cos (2-2i) = e^2 \cdot \cos 2 \), (b) \( \sinh (1-i) = \frac{1}{2} (e \cdot \cos 1 - \frac{1}{e} \cdot \cos 1) + \frac{i}{2} (e \cdot \sin 1 + \frac{1}{e} \cdot \sin 1) \), and (c) \( \log (2-3i) = \ln \sqrt{2^2 + (-3)^2} + i \arctan \left(\frac{-3}{2}\right) \).

To express the complex numbers in Cartesian coordinates, we need to use the definitions and properties of trigonometric and exponential functions in complex analysis.

(a) \( \cos (2-2i) \):

Using Euler's formula, we have \( e^{i(2-2i)} = e^{2i} \cdot e^{-2i^2} = e^{2i} \cdot e^{2} = e^{2+2i} \).

Expanding \( e^{2+2i} \) using the exponential function, we get

\( e^{2+2i} = e^2 \cdot e^{2i} = e^2 \cdot (\cos 2 + i \sin 2) \).

Taking the real part, we have

\( \cos (2-2i) = e^2 \cdot \cos 2 \).

(b) \( \sinh (1-i) \):

Using the definition of the hyperbolic sine function, we have

\( \sinh (1-i) = \frac{1}{2} (e^{1-i} - e^{-1+i}) = \frac{1}{2} (e \cdot e^{-i} - \frac{1}{e} \cdot e^{i}) = \frac{1}{2} (e \cdot \cos 1 - \frac{1}{e} \cdot \cos 1) + \frac{i}{2} (e \cdot \sin 1 + \frac{1}{e} \cdot \sin 1) \).

(c) \( \log (2-3i) \):

Using the definition of the complex logarithm, we have

\( \log (2-3i) = \ln |2-3i| + i \arg(2-3i) = \ln \sqrt{2^2 + (-3)^2} + i \arctan \left(\frac{-3}{2}\right) \).

To know more about Cartesian coordinates refer here:

https://brainly.com/question/30637894
#SPJ11

Answer:

6.25×10^2

Step-by-step explanation:

97 zeroes below would cancel out 97 zeroes above leaving 1000 / 1.6

Answer:

A

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 3, 6 ) and r = 2 , then

(x - (- 3) )² + (y - 6)² = 2² , that is

(x + 3)² + (y - 6)² = 4

The value of 8(x + 7) is 8x + 56.

The value of 6(11 + x) is 66 + 6x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of  multiplication over addition states that,

a x (b + c) = a x b + a x c

Now,

8 x (x + 7)

= 8 x (x) + 8 x 7

= 8x + 56

6 (11 + x)

= 6 x 11 + 6 x (x)

= 66 + 6x

Thus,

The value is 8x + 56 and 66 + 6x.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

so on the graph you can

Step-by-step explanation:

first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works

Answer: 2x3=y. 2x3=6

Step-by-step explanation:

one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.

By using the same logic and identity, we can also say that ¬(p∨¬q) is equivalent to q∧¬p.

a. To find the given series i.e.,  5∑n=0(9(2)n)−7(−3)nTo find 5∑n=0(9(2)n)−7(−3)n,

we need to find the first five terms of the series. The given series is,

5∑n=0(9(2)n)−7(−3)n5[(9(2)0)−7(−3)0] + [(9(2)1)−7(−3)1] + [(9(2)2)−7(−3)2] + [(9(2)3)−7(−3)3] + [(9(2)4)−7(−3)4]

After evaluating, we get:

5[(9*1) - 7*1] + [(9*2) - 7*(-3)] + [(9*4) - 7*9] + [(9*8) - 7*(-27)] + [(9*16) - 7*81]15 + 57 + 263 + 1089 + 4131= 5555b.

Given premises: p → q, ¬p → r, r → s.

We are to prove that ¬q → s. i.e.,

Premises: (p → q), (¬p → r), (r → s)

Conclusion: ¬q → s

To prove ¬q → s,

we need to assume ¬q and show that s follows.

Then we use the premises to derive s.

Proof:

1. ¬q        Assumption

2. ¬(¬q)    Double negation

3. p         Modus tollens 2,1 & p → q

4. ¬¬p      Double negation

5. ¬p        Modus ponens 4,3 (Conditional elimination)

6. r         Modus ponens 5,2 (Conditional elimination)

7. s         Modus ponens 6,3 (Conditional elimination)

8. ¬q → s     Conditional introduction (Implication)

Thus, ¬q → s is proven.

c. To show that ¬(p∨¬q) and q∧¬p are equivalent, we need to show that their negation is equivalent. i.e.,

we show that (p ∨ ¬q) ↔ ¬(q ∧ ¬p)Negation of (p ∨ ¬q) = ¬p ∧ q Negation of (q ∧ ¬p) = ¬q ∨ p

Thus, we are to show that (p ∨ ¬q) ↔ ¬(q ∧ ¬p) is equivalent to ¬p ∧ q ↔ ¬q ∨ p

Proof:

¬(q ∧ ¬p)  ≡  ¬q ∨ p       Negation of (q ∧ ¬p)(p ∨ ¬q)   ≡  ¬(q ∧ ¬p)  

De Morgan's laws ∴ (p ∨ ¬q) ≡ ¬q ∨ p

By using the same logic and identity, we can also say that ¬(p∨¬q) is equivalent to q∧¬p.

To know more about equivalent visit:

https://brainly.com/question/24207766

#SPJ11

a. The formula given is, ∑n=0(9(2)n)−7(−3)n. Let’s find out the first five terms of the given formula as follows:

First term at n = \(0:9(2)^0-7(-3)^0= 9 + 7= 16\)

Second term at n = \(1:9(2)^1-7(-3)^1= 18 + 21= 39\)

Third term at n = \(2:9(2)^2-7(-3)^2= 36 + 63= 99\)

Fourth term at n = \(3:9(2)^3-7(-3)^3= 72 + 189= 261\)

Fifth term at n = \(4:9(2)^4-7(-3)^4= 144 + 567= 711\)

Therefore, the first five terms of the given formula are: 16, 39, 99, 261, 711.

b. To prove that ¬q→s from p→q, ¬p→r, and r→s,

we need to use the law of contrapositive for p→q as follows:

¬q→¬p       (Contrapositive of p→q)¬p→r         (Given)

∴ ¬q→r        (Using transitivity of implication) r→s           (Given)

∴ ¬q→s        (Using transitivity of implication)

Therefore, ¬q→s is proved.

c. To show that ¬(p∨¬q) and q∧¬p are equivalent,

we need to use the De Morgan’s laws as follows:

¬(p∨¬q) ≡ ¬p∧q     (Using De Morgan’s law)      

≡ q∧¬p     (Commutative property of ∧)

Therefore, ¬(p∨¬q) and q∧¬p are equivalent.

To know more about law of contrapositive visit:

https://brainly.com/question/17831746

#SPJ11

Answer:

Approximately 10.9

Step-by-step explanation:

\(a^2+b^2=c^2\)

Plug in b (5) and c (12)

\(a^2+5^2=12^2\\a^2+25=144\)

Subtract 25 from both sides

\(a^2+25-25=144-25\\a^2=119\)

Take the square root of both sides

\(\sqrt{a^2} =\sqrt{119}\)

a = approximately 10.9

I hope this helps!

Answer:

3.) Assume all angles are right angles. What is the area of the figure?

4.) In the proof below, what is the missing reason?

5.) How do you write the inverse of the conditional statement below?

Step-by-step explanation:

I'm not sure about the last one, tell me if anything is wrong.

You're welcome.

Answer:

3) C. 360 Square Meters

4) C. CPCTC

5) I think C

Answer:

0

Step-by-step explanation:

Solving mathematically,

(1+1)×0

1+1=2

2×0=0

The slope -intercept form of the equation of the line that is perpendicular to 5x - 4y and passes through (5, -8) is y = (-4/5)x - 12.

Given equation: 5x - 4y = ?We need to find the slope -intercept form of the equation of the line that is perpendicular to the given equation and passes through (5, -8).

Now, to find the slope -intercept form of the equation of the line that is perpendicular to the given equation and passes through (5, -8), we will have to follow the steps provided below:

Step 1: Find the slope of the given line.

Given line:

5x - 4y = ?

Rearranging the given equation, we get:

5x - ? = 4y

? = 5x - 4y

Dividing by 4 on both sides, we get:

y = (5/4)x - ?/4

Slope of the given line = 5/4

Step 2: Find the slope of the line perpendicular to the given line.Since the given line is perpendicular to the required line, the slope of the required line will be negative reciprocal of the slope of the given line.

Therefore, slope of the required line = -4/5

Step 3: Find the equation of the line passing through the given point (5, -8) and having the slope of -4/5.

Now, we can use point-slope form of the equation of a line to find the equation of the required line.

Point-Slope form of the equation of a line:

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is the given point and m is the slope of the required line.

Substituting the given values in the equation, we get:

y - (-8) = (-4/5)(x - 5)

y + 8 = (-4/5)x + 4

y = (-4/5)x - 4 - 8

y = (-4/5)x - 12

Therefore, the slope -intercept form of the equation of the line that is perpendicular to 5x - 4y and passes through (5, -8) is y = (-4/5)x - 12.

Answer: The slope -intercept form of the equation of the line that is perpendicular to 5x - 4y = ? and passes through (5, -8) is y = (-4/5)x - 12.

To know more about slope -intercept form visit:

https://brainly.com/question/29146348

#SPJ11

Answer: the two numbers are 6 and 10

Step-by-step explanation:

An equation is formed of two equal expressions. The numbers are 10 and 6.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the following details about the question,

Now, Let the two numbers be represented by x and y. Therefore, we can write the sum of the two numbers as,

x + y = 16 _____(1)

Further, One number is eight less than three times the other.

We can write it as,

x = 3y - 8 _______(2)

Now,

From (1) and (2)

Put (2) in (1)

x + y = 16

3y - 8 + y = 16

4y - 8 = 16

Add 8 on both sides.

4y - 8 + 8 = 16 + 8

4y = 24

Divide both sides by 4

y = 24/4

y = 6

Put y = 6 in (1) or (2)

x + y = 16

x + 6 = 16

Subtract 6 on both sides.

x + 6 - 6 = 16 - 6

x = 10.

We have,

x = 10 and y = 6

Thus, the two numbers are 10 and 6.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

The coordinates of the point R are (0, 3).

The formula for mid point is;

(x₁ + x₂ / 2 , y₁ + y₂ /2)

Thus, the value of mid point is (5.5, 5.5)

So,

(x₁ + x₂ / 2 , y₁ + y₂ /2) = (5.5, 5.5)

Where, (x₁, y₁) is R coordinates.

(x₂, y₂) is S coordinates = (11, 8)

Put the values.

(x₁ +  x₂ / 2 , y₁ + y₂ /2) = (5.5, 5.5)

Or,

(x₁ + x₂ / 2) = 5.5

(x₁ + 11 / 2) = 5.5

x₁ = 0

Similarly,

y₁ + y₂ /2 = 5.5

y₁ + 8 /2 = 5.5

y₁ = 3

Thus, the coordinates of R are (x₁ , y₁) = (0, 3).

To know more about the mid-pint coordinates, here

https://brainly.com/question/4871233

#SPJ9

There are 1.5 revolution in one second.

What is relation between minute and seconds?

The relation between minute and seconds is;

1 minute = 60 seconds

A windmill makes 90 revolutions in one minute.

Now, In one minutes number of revolution = 90

Since, 1 minute = 60 seconds

Hence, In 60 second number of revolution = 90

In 1 second number of revolution = 90/60 = 1.5

So, There are 1.5 revolution in one second.

Therefore, There are 1.5 revolution in one second.

Learn more about the relation between minute and seconds visit:

https://brainly.com/question/2437806

#SPJ2

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

The probability of drawing a mean with a sample mean between $100 and $115 is 0.99705.

Fee per student = $110

Standard deviation = $18

Random sample size =- 49

Sample mean difference =  $100 and $115.

This problem is calculated by using the central limit theorem, which defines that the distribution of sample average from a large sample size will be normal, however, the distribution of the population will be drawn.

For a sample size of 49, the standard error of the mean will be:

SE  = σ / sqrt(n)  

SE  = 18 / sqrt(49)

SE = 18 / 7

SE = 2.57

The standardized sample mean range of $100 to $115 using the formula for the z-score:

z = (x - μ) / SE

For a lower limit of $100:

z1 = ($100 - $110) / 2.57 = -3.89

For an upper limit of $115:

z2 = ($115 - $110) / 2.57 = 1.95

Probability = P(-3.89 < z < 1.95)

Probability = 0.9971 - 0.00005

Probability = 0.99705

Therefore, we can conclude that the probability of drawing a mean with a sample mean between $100 and $115 is 0.99705.

To learn more about random sample size

https://brainly.com/question/30323882

#SPJ4

Answer:

No

Step-by-step explanation:

Use the Pythagorean Theorem to check on this.  

Does 8^2 + 8^2 = 12^2?  Does 64 + 64 = 144?  NO.  So this is not a right triangle.

Using the concepts of standard normal distribution,43 people height is in between 160 and 180 and 31 people height is taller than 165cm

The standard normal distribution is actually  of the forms of the normal distribution. It occurs when  normal random variable has a mean equal to zero and a standard deviation equal to one. Or a normal distribution with a mean 0 and standard deviation of 1 is known as the standard normal distribution. Also, the standard normal distribution is concentrated at zero, and the standard deviation gives the degree to which a given measurement deviates from the mean.

Now, we find the Z score of the given heights range

We know that Z score is given by formula

Z=(\(\frac{X-\alpha }{\beta }\))

where X is normal random variable,\(\alpha\) is mean of given sample and \(\beta\) is standard deviation of given sample.

Therefore, Z score is

z(160) = (170-160)/5 = 2

z(180) = (180-170)/5 = 2

P(160<= x <=180) = P(2<= z <=2) = 0.4772(from standard distribution table)

Therefore for 90 people=90×0.4772= 43 people after rounded up.

b) Similarly, we need to find Z value for people height greater than 165 cm.

Therefore, by using the above formula, we get

z(165) = (170-165)/5 = 1

P(x > 165) = P(z > 1) = 0.3438(from standard distribution table)

Therefore, for 90 people=0.3438×90=31 after rounded up

Hence, number of people whose height is in between 160 and 180cm is 43 and number of people whose height greater than 165cm is 31

To know more about standard normal distribution ,visit here:

https://brainly.com/question/18493663

#SPJ4

Answer:

The answer is C

Explain:

Solve for x in the first equation.

Add 4y to both sides of the equation

3x=12+4y

12y-9x=36

Divide each term by 3 and simplify

X=4+4y/3

12y-9x=36

Replace all occurrences of x with 4+4y/3 in each equation.

-36=36

X=4+4y/3

Since -36=36 is not true, there is no solution

Answer:

you would move left once, then left again 6 times. so 7 times to the left.

Step-by-step explanation:

You're moving left because you're working with negative numbers, so -1 would be the first step, and then just move 6 times more to the left. When you work with positives you do the same but to the right.

You will have to move left by 6 units.

Given is a number line.

The given expression is -

-1 + (-6)

on solving, we get -

- 1 - 6

- 7

You will have to move left by 6 units.

Therefore, you will have to move left by 6 units.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Answer: 35000

I hope this helps :) Can I get brainiest ?

Answer:

5=2x-6.5 +6.5

11.5=2x ÷2

5.75=x

Step-by-step explanation:

prove me wrong

Answer:

x = 3.5

Step-by-step explanation:

step 1:  add 6.5 to each side;  7 = 2x

step 2: divide each side by 2

x = 7/2 or 3.5

Answer:

7 hours

Step-by-step explanation:

The bakery could bake 100/2 = 50 pies per hour.

To make 350 pies, the bakery requires 350/50 = 7 hours.

The answer is therefore 7 hours.

Answer: 8 I’m order to meet goal

Step-by-step explanation: 25-9=16 16-8=8

a. The birth weight of cats at the 70th percentile is approximately 3.156 ounces. b. The birth weight of cats at the 30th percentile is approximately 2.844 ounces.

To answer your question, we will use the given information about the normal distribution of domestic cat birth weights with a mean of 3 ounces and a standard deviation of 0.3 ounces.
a) To find the birth weight of cats at the 70th percentile, we first need to find the z-score associated with the 70th percentile. You can look up this value using a standard normal distribution table or a calculator with a built-in function for percentiles. For the 70th percentile, the z-score is approximately 0.52.
Next, we use the z-score formula to find the corresponding birth weight:
x = mean + (z-score * standard deviation)
x = 3 + (0.52 * 0.3)
x ≈ 3.156 ounces
b) Similarly, to find the birth weight of cats at the 30th percentile, we find the z-score associated with the 30th percentile, which is approximately -0.52.
Using the z-score formula again:
x = mean + (z-score * standard deviation)
x = 3 + (-0.52 * 0.3)
x ≈ 2.844 ounces

Learn more about percentile here

https://brainly.com/question/24245405

#SPJ11

Step-by-step explanation:

\(area \: ofa \: circle = \pi {r}^{2} \)

\(\pi {r}^{2} = \frac{22}{7} \times {r}^{2} \\ 153.86 = \frac{22}{7 } \times {r}^{2} \: \: \: \: \: \: \\ {r}^{2} = \frac{153.86 \times 7}{22} \\ {r}^{2} = \frac{1,077.02}{22}\\ r = \sqrt{48.95} \\ = 6.99\)

So let's take r as 7

\(circumference \: of \: a \: circle = 2\pi r\)

\(2\pi r = 2 \times \frac{22}{7} \)

= 2× 22/7 × 7

= 44

The linear model is represented as

A. An increasing lines goes up from left to right. This is shown from 0 to 2

B. A horizontal line would show the height remaining the same. This is shown from 2 to 3

C. The steeper the line the faster the decrease. This is shown from 3 to 4

D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.

What is Linear Model ?

A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.

Part A  the balloons height is increasing when the line is going up

It is increasing between 0 and 2

0 ≤ t ≤ 2

Part B  the balloons height remains the same when the line is flat

It is constant between 2 and 3

2 ≤ t ≤ 3

Part C the balloons height is decreasing when the line is going down

It is decreasing the fastest when the line is going down the quickly and that is between 3 and 4. The slope is (80-20)/(4-3)= 60/160. The larger the slope, the faster the height decreases.

3 ≤ t ≤ 4

Part D  At 10 second the balloon will be on the ground. At 6 second the height is zero and remains at 0.

The linear model is represented as

A. An increasing lines goes up from left to right. This is shown from 0 to 2

B. A horizontal line would show the height remaining the same. This is shown from 2 to 3

C. The steeper the line the faster the decrease. This is shown from 3 to 4

D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.

To know more about linear model, visit :-

brainly.com/question/13496810

#SPJ1

The set of probabilities for the number of eaglets is the

probabilities for how many eaglets will survive.

The table that shows the probability distribution is the option C;

X      0         1         2

p(x)   0.35   0.60   0.05

  P(O) = 0.5 is the likelihood that the elder eaglet will live.

  Therefore;

   P(O') = 1 - 0.5 = 0.5 is the probability that the older eaglet won't survive.

  The likelihood that the younger eaglet will survive if the older eaglet              does not P(Y|O) = 10%

Therefore;

The likelihood that the elder eaglet will live while the younger eaglet does not survive is P(Y'|O) = 1 - 10% = 90%.

When the older eaglet does not survive, the younger eaglet has a 30% survival chance (P(Y|O')).

Therefore;

The likelihood that the younger eaglet will not survive, compared to the elder eaglet, is P(Y'|O') = 1 - 30% = 70%

The collection of potential probabilities for the number of eaglets that survive is expressed as the probability distribution, or P(X)

The range of potential results includes:

Never survives:

The likelihood that no eaglets survive is equal to P(O') × P(Y'|O') = 0.5 × 0.7 = 0.35.

The only survivor is:

The likelihood that only one eaglet survives is determined by P(O) = P(Y'|O) × P(O') = P(Y|O'), which results in P = 0.5 × 0.9 + 0.5 × 0.3 = 0.6 Both survive:

The odds of both eaglets surviving are P(O) ×P(Y|O) = 0.5 × 0.1 = 0.05.

The table of the probability distribution is therefore;

X      0         1         2

p(x)   0.35   0.60   0.05

To learn more about Probability:

https://brainly.com/question/11234923

#SPJ4