Solve by substitution.
y = 2.3 - 11
-2 + y = -4
Solution:

Answer:

9.5 feet would be the width!!!

Answer:

9.5 feet

Step-by-step explanation:

The perimeter of a rectangle is given by the formula P = 2(L + W), where P is the perimeter, L is the length and W is the width.

Given that P = 43.8 and L = 12.4, we can put these values into the formula and solve for W.

43.8 = 2(12.4 + W)

Dividing both sides by 2, we get:

21.9 = 12.4 + W

Subtracting 12.4 from both sides, we get:

9.5 = W

Therefore, the width of the rectangular garden is 9.5 feet.

Hope this helped :)

Answer: Simplify the expression. (7 – c)(–1) –7 – c 7 + c 7 – c –7 + c. 2 ... 4.0/5. 7. nobillionaireNobley. Ambitious. 6.6K answers. 51.9M people helped .

Step-by-step explanation:

The statement "if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other" is true. The dot product of two vectors is zero if and only if the vectors are perpendicular.

The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them. When the dot product is zero, it means that the cosine of the angle between the vectors is zero, which occurs when the vectors are perpendicular.

In other words, the dot product being zero indicates that the vectors are at a 90-degree angle to each other, supporting the statement that they are perpendicular.

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The image of the function after it is vertically stretched is f'(x) = 4|x + 3|

The function is given as

f(x) = |x + 3|

The transformation is given as

Vertical stretch by a factor of 4

This implies that we stretch the function f(x) by a factor of 4

This transformation is represented mathematically as

(x, y) = (x, 4y)

So, we have

f'(x) = 4 * f(x)

So, we have the following equation

f'(x) = 4 * (|x + 3|)

Remove the bracket

So, we have

f'(x) = 4 * |x + 3|

Evaluate the products

So, we have

f'(x) = 4|x + 3|

Hence, the equation of f'(x) is f'(x) = 4|x + 3|

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Rounding a percentage to the nearest whole number can be done by considering the decimal part of the percentage. For the percentages provided, 11.969 would round to 12%, 39.9804 would round to 40%, and 11.61+32 would equal 43.

To round a percentage to the nearest whole number, we examine the decimal part. If the decimal is 0.5 or greater, we round up to the next whole number. If the decimal is less than 0.5, we round down to the previous whole number. In the given examples, 11.969 has a decimal of 0.969, which is closer to 1 than to 0, so it rounds up to 12. Similarly, 39.9804 has a decimal of 0.9804, which is closer to 1, resulting in rounding up to 40. Lastly, the expression 11.61 + 32 equals 43, as it is a straightforward addition calculation.

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Answer:

\(\huge\boxed{\sf 3317.5\ cm\²}\)

Step-by-step explanation:

Since the diameter is 12 cm, the radius will be:

r = d/2 = 12/2 = 6 cm

Now,

Surface Area of cylinder:

\(= 2\pi rh+2\pi r^2\\\\Where \ r = 6 \ cm, \ h = 80 \ cm\\\\= 2(3.14)(6)(80)+2(3.14)(6)^2\\\\= 3015.9+2(3.14)(36)\\\\= 3242.12 \ cm^2\)

Surface Area of Cone:

\(= \pi r^2+\pi rl\\\\Where \ r = 6 \ cm, \ l = 10 \ cm\\\\= (3.14)(6)^2+(3.14)(6)(10)\\\\= (3.14)(36)+188.5\\\\= 113.1+188.5\\\\= 301.6 \ cm^2\)

Surface area of the object:

= SA of cone + SA of cylinder - 2πr² (Since the base area isn't included)

= 301.6 + 3242.1 - 2(3.14)(6)²

= 3543.7 - 2(3.14)(36)

= 3543.7 - 226.2

= 3317.5 cm²

\(\rule[225]{225}{2}\)

Hope this helped!

the total surface area of the solid object is \(\bold{\green{1056\pi\: Or\:3317.52\:cm^2}}\)

Answer:

Solution given:

diameter [d]=12 cm

radius [r]=\(\frac{12}{2}=6\) cm

height of cylinder[H]=80cm

slant height [L]=10cm

Now,

Surface Area of cylinder=\(2\pi rH\)

=\(2\pi *6*80=960\pi cm^2\)

Surface Area of Cone:\(\pi rL\)

=\(\pi *6*10=60\pi cm^2\)

Surface area Base of solid=\(\pi r^2=\pi *6^2=36\pi cm^2\)

The total surface area of the object:

=Surface Area of cylinder + Surface Area of Cone+ Surface area Base of solid

=\(960\pi +60\pi +36\pi\)

=\(1056\pi\: Or\:3317.52\:cm^2\)

Step-by-step explanation:

The area of the union, denoted as U, formed by all the disks in the plane that touch the line segment AB, where AB has a length of 1, is equal to π/4.

To find the area of the union of all disks in the plane that touch AB, we can consider the extreme cases where the disks are tangent to AB.

Let's assume a disk is centered at a point C on AB. The radius of this disk will be denoted by r.

Case 1: The disk touches AB externally

In this case, the distance from the center of the disk to AB is r. Therefore, the diameter of the disk (2r) is equal to the length of AB, which is 1. Hence, r = 1/2.

Case 2: The disk touches AB internally

In this case, the distance from the center of the disk to AB is 0. The radius (r) of the disk will be equal to the distance between the center of the disk and one of the endpoints of AB (A or B). Therefore, r = 0.

Now, let's consider all possible positions for the centers of these disks.

If the center of the disk is located outside the line segment AB, it will fall into Case 1. If the center is located on AB itself, it will fall into Case 2.

The set U, which represents the union of all such disks, will consist of two disks:

1. The disk with radius 1/2 and centered at the midpoint of AB.

2. The disk with radius 0 and centered at any point on AB.

The area of the disk with radius 1/2 is given by π(1/2)^2 = π/4.

The area of the disk with radius 0 is 0, as it degenerates into a single point. Therefore, the total area of U is π/4.

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The complete question is:

A plane contains points A and B with AB=1. Let U be the union of all disks of radius in the plane that touch AB. What is the area of U?

In  linear equation , M = 2 , S = 3   the greatest number of groups possible.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                            Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

HCF = 9

  M = 18 , S = 27

    = 9 * 2   ,   9 * 3

  M = 2

  S = 3

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Answer:

hola amigos como estan me saludan

Answer:

7.8 x 10^3

Step-by-step explanation:

The probability that X is greater than 53

What is probability ?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Formula for calculating the standard score or z score:

z = x-μ/σ, where:

z is the standard score

x is the raw score

μ is the population mean

σ is the population standard deviation

In this question: μ = 61 and σ = 8

The score is greater than 53

Let’s calculate the z score, for x = 53 and then find the probability for x greater than 53

z = (53 - 61)/8

  = -8 / 8

  = -1

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1) The percentage of the products last between 9 and 15 days is 68.26%.

2)The percent of the products last between 12 and 15 days is 34.13%.

3) The percentage of the people in line waited for more than 28 minutes 2.28%.

4) The percentage of the people wait for less than 16 minutes 15.87%

Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.

What is the number whose 20% is 150?

20% of 150 is 30.

1) µ = 12

sd = 3

a) P(9<X<15)=P

(\frac{9-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})

9-12\sP(\s15\s12

= P(-1 < Z < 1)

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

= 0.8413 - 0.1587

= 0.6826

= 68.26%

b) P(12<X<15)=P

(\frac{12-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{15-\mu}{\sigma})

12 - 12\sP(\s15\s12

= P(0 < Z < 1)

= P(Z < 1) - P(Z < 0)

= 0.8413 - 0.5

= 0.3413

= 34.13%

c) P(X6) = P(frac X-mu sigma frac 6 mu sigma)

=P(Z<\frac{6-12}{3})

= P(Z < -2)

= 0.0228

= 2.28%

d) P(X>15)=P(frac X–mu–sigma>frac X–mu–sigma)

=P(Z>\frac{15-12}{3})

= P(Z > 1)

= 1 - P(Z < 1)

= 1 - 0.8413

= 0.1587

= 15.87%

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The amount invested in the account that earns 10% interest  is $2000.

The amount invested in the account that earns 13% interest  is $3000.

a + b = 5000 equation 1

0.1a + 0.13b = 590 equation 2

Where:

Multiply equation 1 by 0.1

0.1a + 0.1b = 500 equation 3

Subtract equation 3 from equation 1

90 = 0.03b

Divide both sides by 0,03

b = $3000

Subtract $3000 from $5000: 5000 - 3000 = $2000

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Answer:

Comparamos los dos números decimales anteriores, y podemos ver que 2.5 es mayor que 1.75. Por lo tanto, 5/2 es mayor que 7/4

Step-by-step explanation:

Answer:

7/4 because if you divide them both, 7/4's decimal will be greater                                                                      

Answer:

The rate of change or slope is 2

Step-by-step explanation:

Rise over run 2/1

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3-(23+(4-213-(6-2)   Equation/Question

Step 2

3-(23+(4-213-(6-2)   Simplify

3(23+(-213)

Step 3

3(23+(-213)  Add and multiply

-570

Answer

-570

Hope this helps

Answer:

the answer is -570

hope this helps

Answer:

a. 12f + 18 < 85

b. 5 friends

Step-by-step explanation:

f = the number of friends

Answer:

A - 1 = w

Step-by-step explanation:

Step 1: Write equation

A = 1 + w

Step 2: Subtract 1 on both sides

A - 1 = 1 + w - 1

A - 1 = w

The solution for x on the diagram is given as follows:

x = 111.

The angle measures in this problem are given as follows:

x and (x - 42)º.

They are on the same side relative to the transversal line, and between the two parallel lines, hence they are classified as consecutive interior angles.

Consecutive interior angles are supplementary, as the sum of their measures is of 180º, hence the value of x is obtained as follows:

x + x - 42 = 180

2x = 222

x = 222/2

x = 111.

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Answer:

400

Step-by-step explanation:

20 squared is basically 20 x 20

20 x 20 = 400 because 2 x 2 = 4 and then move the two 0s over to get 400

Hope this helps! Have a nice day :)

Answer:

1436.76

Step-by-step explanation:

I think so

Answer: V≈1436.76

\(V=\frac{4}{3} \pi r^3\)

4/3×π=4.1887902047863909846168578443727

r=7

7^3=343

4.1887902047863909846168578443727×343=1,436.7550402417321077235822406198

1,436.7550402417321077235822406198=1436.76

I hope this is good enough:

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

28 percent

Step-by-step explanation:

you divide 217 by 775 and you get 0.28

Answer:

The answer is 28%

Step-by-step explanation:

217:775*100 =

(217*100):775 =

21700:775 = 28

217 percentage of 775 = 28.

               Yw Have A Wonderful Day !! :)

The 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

To determine a 99% confidence interval estimate for the difference between the percentages of elderly men and women who were married, we can use the formula for the confidence interval of two proportions:

CI = (p1 - p2) ± Z * √[(p1 * (1-p1) / n1) + (p2 * (1-p2) / n2)]

Where p1 and p2 are the proportions of married elderly men and women, n1 and n2 are the sample sizes, and Z is the Z-score for a 99% confidence level (which is 2.576).

First, convert the percentages to proportions:
p1 = 0.65 (65% married elderly men)
p2 = 0.48 (48% married elderly women)
n1 = 300 (sample size of elderly men)
n2 = 400 (sample size of elderly women)

Now, plug the values into the formula:

CI = (0.65 - 0.48) ± 2.576 * √[((0.65 * 0.35) / 300) + ((0.48 * 0.52) / 400)]
CI = 0.17 ± 2.576 * √[(0.2275 / 300) + (0.2496 / 400)]
CI = 0.17 ± 2.576 * √(0.00075833 + 0.000624)
CI = 0.17 ± 2.576 * √(0.00138233)
CI = 0.17 ± 2.576 * 0.0372
CI = 0.17 ± 0.0959

Thus, the 99% confidence interval estimate for the difference between the percentages of married elderly men and women is (0.0741, 0.2659).

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Answer:

1 cm = 16.5 m

1 m = 1 : 16.5 = 0.060606 cm

480 * 0.060606 = 29.09088 cm ( on the scale drawing )

B :

1.5 in = 0.5 ft

6 ft = 0.5 ft * 12

12 * 1.5 in = 18 inches

Step-by-step explanation:

If the price of good x increases, the demand curve for good Y to shift to the right.

Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.

Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o

When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.

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Answer: 0.0228 .

Step-by-step explanation:

Given, IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15

Let X denotes the IQ score.

Then, the proportion of people with IQs above 130 is

\(P(X>130)=P(\dfrac{X-mean}{ standard\ deviation}>\dfrac{130-100}{15})\\\\= P(Z>2)\ \ \ \[Z=\dfrac{X-mean}{ standard\ deviation}]\)

\(=1-P(Z<2)\ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.9772\ [\text{By z table}]\\\\=0.0228\)

Hence, the proportion of people with IQs above 130 is 0.0228 .

Answer:

formula is 2(lb plus bh plus hl)

Length- 80cm

width- 3cm

height- 200cm

240 plus 600 plus 16000

pls mark Brainliest if you can?

33680 cm is the surface

area

Answer: 60 square inches

Step-by-step explanation: Here you go!

Area =

b1 + b2 ×h

2

=

12 + 18 × 4

2

= 60 inches2

The z-values for the given situations are approximate:

a. The area to the left of z is 0.1827. z = -0.90

b. The area between −z and z is 0.9830. z = 2.17

c. The area between −z and z is 0.2148. z = 0.85

d. The area to the left of z is 0.9997. z = 3.49

e. The area to the right of z is 0.6847. z= -0.48

a. For an area of 0.1827 to the left of z, the corresponding z-value can be found using a standard normal distribution table or a statistical calculator. The z-value is approximately -0.90.

b. To find the z-value for an area between -z and z equal to 0.9830, we need to find the value that corresponds to (1 - 0.9830)/2 = 0.0085 in the upper tail of the standard normal distribution. Using the table or calculator, the z-value is approximately 2.17.

c. Similarly, for an area between -z and z equal to 0.2148, we find the value that corresponds to (1 - 0.2148)/2 = 0.3926 in the upper tail. The z-value is approximately 0.85.

d. For an area of 0.9997 to the left of z, we find the value that corresponds to 0.9997 in the upper tail. The z-value is approximately 3.49.

e. To find the z-value for an area to the right of z equal to 0.6847, we find the value that corresponds to 1 - 0.6847 = 0.3153 in the upper tail. The z-value is approximately -0.48.

In summary, the z-values for the given situations are approximate:

a. -0.90

b. 2.17

c. 0.85

d. 3.49

e. -0.48

These values can be used to determine the corresponding percentiles or probabilities for the standard normal distribution. The values are typically found using standard normal distribution tables or statistical calculators that provide the cumulative probability distribution function (CDF) for the standard normal distribution.

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