Whats the answer for substitution x=9 y=3x-1

Answer:

A

Step-by-step explanation:

Answer:

(3x – 6)(-x + 3) = 0

=> 3x - 6 = 0 => x = 6/3 = 2

and

=> -x + 3 = 0 => x = 3

Hope this helps!

:)

Answer:

Step-by-step explanation:

\(m\angle OFB=m\angle OCB=90^o\\\\so\ from\ BCOF:\\\stackrel{\big{\frown}} {CDF} =m\angle COF=360^o-2\cdot90^o-82^o=98^o \\\\\\ \stackrel{\big{\frown}} {CGF} =360^o-\stackrel{\big{\frown}} {CDF} =360^o-98^o=262^o\)

Answer:

25%?

Step-by-step explanation:

Answer:

22.22

Step-by-step explanation:

brainliest pls

In the case of the decimal 0.007, it can be written as the percent 0.7% and as the decimal 0.00007.

To write a decimal as a percent, you need to move the decimal point two places to the right and add the percent symbol (%).

For the decimal 0.007, moving the decimal point two places to the right gives us 0.7. Adding the percent symbol gives us 0.7%.

To write a percent as a decimal, you need to move the decimal point two places to the left and remove the percent symbol (%).

For example, to write 75% as a decimal, you move the decimal point two places to the left, giving us 0.75.

So, to summarize:

- Decimal to percent: Move the decimal point two places to the right and add the percent symbol.
- Percent to decimal: Move the decimal point two places to the left and remove the percent symbol.

In the case of the decimal 0.007, it can be written as the percent 0.7% and as the decimal 0.00007.

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Answer:

She should cut 1.21 inches (or a square of area 1.46 inch²) from 4 corners to get the maximum volume

Step-by-step explanation:

Length = L = 10 inches

Width = W = 6 inches

Suppose x is cut from the 4 corners to make a box.

Dimensions of the Box:

L= 10 - 2x

W = 6 - 2x

H = x

Volume of the Box:

V = (L)(W)(H)

V = (10-2x)(6-2x)(x)

V = 4x³ -  32x² + 60x

For Maximum value:

\(\frac{dV}{dx}=0\)

\(\frac{dV}{dx}=\frac{d}{dx}(4x^3-32x+60x)\\\frac{dV}{dx}=12x^2-64x+60\\12x^2-64x+60 = 0\)

The values of x found are:

x= 4.12 , x = 1.21

If we put x= 4.12 in W= 6-2x , the value of width becomes negative, so that is not possible.

We discard 4.12. Now x=1.21

So,

If 1.21 inches are cut from 4 corners, or a square of 1.21*1.21 = 1.46 inch² is cut from 4 corners, we get the maximum value of V

Answer: 77

Step-by-step explanation:

Bigger Rectangle = LW  = 5x5 =25 There are 2 of those. =50

middl rectangle = LW = 5x3=15

triangles= 1/2 b h = 1/2 (3)(4) = 6 but therere are 2 so =12

Add up all shapes=50+15+12=77

The probability that at least one of them is a girl is 0.9781

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

P(Boy) = 0.529

Number of selection, n = 6

Using the above as a guide, we have the following:

P(At least 1 girl) = 1 - P(No girl)

Substitute the known values in the above equation, so, we have the following representation

P(At least 1 girl) = 1 - (0.529)^6

Evaluate

P(At least 1 girl) = 0.9781

Hence, the probability is 0.9781

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

a) i)P(X > 18)= 0.65542

ii)P(7 < X < 15)=0.154

b)The value of a using the standard normal table or a calculator is 12.875

c)the value of b using the standard normal table or a calculator is 9.8

a) Let X be the normal random variable with mean μ = 20 and standard deviation σ = 5. We have to find P(X > 18) and P(7 < X < 15).

(i) P(X > 18)

This can be calculated using the standard normal table or a calculator as follows:

z = (18 - μ)/σ

= (18 - 20)/5

= -0.4

P(X > 18) = P(Z > -0.4)

= 1 - P(Z ≤ -0.4).

Using the standard normal table or a calculator, P(Z ≤ -0.4) = 0.34458

Therefore, P(X > 18) = 1 - 0.34458 = 0.65542

(ii) P(7 < X < 15). This can be calculated using the standard normal table or a calculator as follows:

z₁ = (7 - μ)/σ

(7 - 20)/5 = -2.6z₂

(15 - μ)/σ = (15 - 20)/5

= -1

P(7 < X < 15) = P(-2.6 < Z < -1)

= P(Z < -1) - P(Z < -2.6)

Using the standard normal table or a calculator,

P(Z < -1) = 0.15866P(Z < -2.6) = 0.00466

Therefore, P(7 < X < 15) = 0.15866 - 0.00466 = 0.154

b) We have to find the value of a such that

P(20 - a < X < 20 + a) = 0.99.

This can be calculated as follows:

z₁ = (20 - a - μ)/σ

= (20 - a - 20)/5

= -a/5z₂ = (20 + a - μ)/σ

= (20 + a - 20)/5 = a/5

We need to find a such that

P(z₁ < Z < z₂) = 0.99

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.99P(Z < a/5) - P(Z < -a/5) = 0.99

This can be rewritten as

P(Z < a/5) - [1 - P(Z < a/5)] = 0.99P(Z < a/5) - P(Z < -a/5) = 0.995

From the standard normal table or a calculator,

P(Z < 2.575) = 0.995P(Z < -2.575) = 0.005

Therefore,

2.575 = a/5 or -2.575 = -a/5a = 12.875

Therefore, the value of a is 12.875.

c) We have to find the value of b such that P(20 - b < X < 20 + b) = 0.95.

This can be calculated as follows:

z₁ = (20 - b - μ)/σ

= (20 - b - 20)/5

= -b/5z₂

= (20 + b - μ)/σ

= (20 + b - 20)/5 = b/5

We need to find b such that

P(z₁ < Z < z₂) = 0.95

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.95P(Z < b/5) - P(Z < -b/5) = 0.95

This can be rewritten as

P(Z < b/5) - [1 - P(Z < b/5)] = 0.95P(Z < b/5) - P(Z < -b/5) = 0.975

From the standard normal table or a calculator,

P(Z < 1.96) = 0.975P(Z < -1.96) = 0.025

Therefore,1.96 = b/5 or -1.96 = -b/5b = 9.8

Therefore, the value of b is 9.8.

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Answer:

:D

Step-by-step explanation:

:DDDD

\(4 \times \frac{1}{2} - 1 \times \frac{1}{3} \)

\( \frac{9}{2} - \frac{4}{ 3} \)

\( \frac{9 \times 3 - 4 \times 2}{6} \)

\( \frac{27- 8}{6} \)

\( \frac{19}{6} \)

Answer:

its -5. The y intercept is where the line touches the y axis

The value of IQ is 75.

IQ(Intelligent quotient):

It is a measure of intelligence, which is applied by using the ratio of mental age to physical or chronological age, then multiply by 100.

Here we have to find the IQ:

Formula to find the IQ:

IQ =( mental age/ chronological age )× 100

Mental age = 9

chronological age = 12

Put the values in the equation, and we have:

IQ = 9/ 12 × 100

= 3 × 25

= 75

Therefore we get the IQ as 75.

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Answer:

it should be -1,1

Step-by-step explanation:

Answer:

1:5 so C!!!!!!

:)(:

Answer:

C, The ratio of the perimeter of the scale drawing to the perimeter of the sign is 1:5.

Step-by-step explanation:

A scale drawing of a rectangular sign has a scale factor of 1:5. Which statements are true?

We know that having the sign of 1:5, is 1:5 because you can think that a the perimeter is 1:5.

The smallest number works the best too.

Answer: it don't show the picture for me but can i plz have brainliest i never had it

Step-by-step explanation:

Using rotation rules, it is found that the resulting vector is:

v = <1, 4>

When a vector in component form <x,y> is rotated by 270 degrees, the rule is:

<x, y> -> <y, -x>

That is, x and y are switched, and the signal of x changes.

In this problem, the vector is v <-4, 1>, hence:

<-4, 1> -> <1, -(-4)> -> <1,4>

Hence, <1,4> is the resulting vector.

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Alice can be expected to win approximately 5 games out of the 7 games she plays.

If historically Alice wins 70% of the time, we can expect her to win 70% of the games she plays. If Alice and Bob play 7 games of chess, we can calculate how many games Alice can be expected to win by multiplying the total number of games (7) by the probability of Alice winning (70% or 0.7):

Expected number of games Alice wins = 7 * 0.7 = 4.9

Since we cannot have a fraction of a game, we can round the expected number of games Alice wins to the nearest whole number. Therefore, Alice can be expected to win approximately 5 games out of the 7 games she plays.

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According to the given statement The average value of the draw dollars is  $0.0662.

The average value of the draw can be calculated by finding the average value of each type of coin and then taking the weighted average based on the probability of picking each coin.
The value of a nickel is $0.05, the value of a dime is $0.10, and the value of a penny is $0.01.
To find the average value of the draw, we need to calculate the probability of picking each coin.
The total number of coins in the box is 6 + 8 + 12 = 26.
The probability of picking a nickel is 6/26, the probability of picking a dime is 8/26, and the probability of picking a penny is 12/26.
To calculate the average value of the draw, we multiply the value of each coin by its probability and then add them together.
(0.05 * 6/26) + (0.10 * 8/26) + (0.01 * 12/26)

= 0.0308 + 0.0308 + 0.0046

= 0.0662
Therefore, the average value of the draw is $0.0662.

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The average value of the draw can be calculated by finding the average value of each coin and then taking the weighted average based on the number of each coin in the box. When a coin is picked at random from the box, the average value of the draw is $0.047 per coin.

To find the average value of a nickel, dime, and penny, we need to know their respective values. A nickel is worth $0.05, a dime is worth $0.10, and a penny is worth $0.01.

Now, let's calculate the average value for each coin:
- For the 6 nickels, the total value is 6 * $0.05 = $0.30.
- For the 8 dimes, the total value is 8 * $0.10 = $0.80.
- For the 12 pennies, the total value is 12 * $0.01 = $0.12.

Next, we need to calculate the weighted average based on the number of each coin in the box.
- The total number of coins in the box is 6 + 8 + 12 = 26.

To calculate the weighted average, we divide the total value of all the coins by the total number of coins:
- Total value of all coins = $0.30 + $0.80 + $0.12 = $1.22.
- Average value of the draw = Total value of all coins / Total number of coins = $1.22 / 26 = $0.047 per coin.

Therefore, the average value of the draw in dollars is $0.047 per coin.

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A measure computed from the entire population is called a parameter. Option D is the correct answer.

A parameter is a numerical characteristic of the population, and it is usually estimated from a sample of the population. Parameters are usually unknown and are estimated using a variety of mathematical methods.

Examples of parameters include the population means, median, and standard deviation. Parameters can also be used to describe the characteristics of a population, such as the percentage of people who are a certain color, race, or gender.

Parameters are usually reported in summary form, such as the mean or median of a population. In contrast, a statistic is a measure computed from a sample and is not representative of the entire population. Statistics are used to make estimates and predictions about a population and are usually reported in the form of a confidence interval.

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Answer: Any line with slope of -3/4

Reason:

Let's calculate the slope of the line through those two points

\((x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,7)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{7 - 3}{4 - 1}\\\\m = \frac{4}{3}\\\\\)

The slope of the line is 4/3

Anything perpendicular to this has a slope of -3/4. I flipped the fraction and flipped the sign (from positive to negative).

So for example, the answer may be something like \(y = -\frac{3}{4}x+5\) or \(y = -\frac{3}{4}x-2\). All that matters is the -3/4 out front of the x.

Side note: the original slope 4/3 and perpendicular slope -3/4 multiply to -1

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for

x ² + 3x + 2 = (x + 1) (x + 2) > 0   →   x < -2   or   x > -1

(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)

Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:

\(\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2\)

Solve the remaining quadratic:

x ² + 3x + 2 = 2

x ² + 3x = 0

x (x + 3) = 0

x = 0   or   x = -3

Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.

Answer:

10 minutes. 1/2

Step-by-step explanation:

Answer:

10/20???

Step-by-step explanation:

Answer:

3.17 pounds

Step-by-step explanation:

63.4÷20=3.17

Answer:

D

Step by step explanation:

\(F = \frac{9}{5}C + 32\)

The main objective is to isolate C and to make C the subject of the equation:

\(= F - 32= \frac{9}{5} C\)

\(= C = \frac{5}{9} (F - 32)\)

Now substitute the given value of F:

\(C = \frac{5}{9} (68-32)\)

\(=C = \frac{5}{9} (36)\)

\(= C = 20^{o} C\)

Answer:

D. C = 5/9 ( F - 32 ) ; conversion: 68° F = 20° C

By using technology, a dot plot representing the data shown in the table is shown in the image attached below.

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

You should use an online graphing calculator to plot the data shown in the table on a dot plot, while ensuring that the axis on the cartesian coordinate are labeled appropriately.

In this scenario, a dot plot for the percentage of male students generated through random sampling is shown in the image attached below with the percentage of male students plotted on the x-axis (x-coordinate) and the total number of students on the y-axis (y-coordinate).

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Step-by-step explanation:

To find the price of one tire patch, you could use the equation:

4x = 22.2 + 1.9

which simplifies to:

4x = 24.1

Then divide both sides by 4 to isolate x:

x = 6.025

So the equation that applies here is:

4x = 22.2 + 1.9