Evaluate the park expression

3x+2 for x=4

Answer and earn 10 points + brainliest

Answer:

everything you need to know can be found in the picture

Answer:

hi

Step-by-step explanation:

4.8% of voters with annual incomes over $50,000 will be polled, or at least 1,450 of them when an opinion poll of 4,000 (randomly selected) voters is con.ducted

What is probabilty ?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

We have,

n = 4000

p = 0.35 , q=1-p=0.65

= E(X) = np= 4000 (0.35) 600 1400

6 = SE(X) = √npq √ 4000 (0-35)(0.65) = 30.1662

Consider

P(X\(\geq\)1450) = p 7

X-U

1450 1400

30.1662

=P(z>1,66)

=0.048457

from standard normal table,

Hence, 4.845% chance that 1,450 or more of the voters with annual incomes above $50,000 will be polled

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Answer:

6999999

Step-by-step explanation:

Funny Number.

Answer:

5

Step-by-step explanation:

5 is the factor form of 5ac + 10be-25fg so it will be

5 ( ac + 2be -5fg )

Answer:

x = 15

Step-by-step explanation:

2x + 8 = 4x - 22

Subtract 2x from each side

2x-2x + 8 = 4x-2x - 22

8 = 2x-22

Add 22 to each side

8+22 = 2x-22+22

30 = 2x

Divide by 2

30/2 = 2x/2

15 =x

Answer:

15

Step-by-step explanation:

2x+8=4x-22 add all the like terms

-2x+8=-22

-2x=-30 divide both side by -2

x=15

An airplane can go 4860 kilometers in 9 hours when flying against the wind. Flying with the wind, the same plane travels 4300 kilometers in 5 hours. The rate of the plane in still air is 700 km/h and the rate of the wind is 160 km/h.

Let's use "p" to represent the rate of the plane in still air and "w" to represent the rate of the wind.

When the plane is flying against the wind, the effective speed of the plane is reduced by the speed of the wind. Therefore, we can set up the following equation based on the distance and time:

4860 = (p - w) * 9

When the plane is flying with the wind, the effective speed of the plane is increased by the speed of the wind. Therefore, we can set up another equation based on the distance and time:

4300 = (p + w) * 5

We now have two equations with two unknowns. We can solve for "p" and "w" by using algebraic techniques to eliminate one of the variables. The use of substitution is one typical strategy.

From the first equation, we can rearrange it to solve for "p - w":

p - w = 540

The second equation's "p-w" can now be replaced with the following expression:

4300 = (p + w) * 5

4300 = 5p + 5w

4300 = 5(p - w + 2w) (substituting p - w = 540)

4300 = 5(p - w) + 10w

4300 = 5(540) + 10w

4300 = 2700 + 10w

1600 = 10w

w = 160

Now that we have found the value of "w", we can substitute it back into either equation to solve for "p":

p - 160 = 540

p = 700

Therefore, the rate of the plane in still air is 700 km/h, and the rate of the wind is 160 km/h.

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Maricella has 4 quarters and 31 nickels in her bag.

Let's use the given terms and set up a system of equations to solve this problem:
Let n = number of nickels
Let q = number of quarters
We know two things:
There are 35 coins in total, so n + q = 35.
The total value is less than $2.75, so 0.05n + 0.25q < 2.75
Now let's solve the system of equations:
Solve the first equation for n:
n = 35 - q.

Substitute this expression for n into the second equation:
0.05(35 - q) + 0.25q < 2.75
Distribute the 0.05 to the terms inside the parentheses:
1.75 - 0.05q + 0.25q < 2.75
Combine like terms:
0.20q < 1
Divide by 0.20:
q < 5
Since q must be a whole number (as it represents the number of quarters), the highest possible value for q is 4.

Now we need to find the number of nickels.
Step 6: Substitute q = 4 back into the equation for n:
n = 35 - q
n = 35 - 4
n = 31.

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Answer:

VX = 8.8 in

Step-by-step explanation:

By applying Sine rule in the right triangle WXV,

Sin(∠W) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

             = \(\frac{\text{VX}}{\text{WX}}\)

Sin(34)° = \(\frac{VX}{15}\)

VX = 15.Sin(34)°

     = 8.8379

     ≈ 8.8 in.

Therefore, measure of side VX is 8.8 in.

Answer:

              The similarities between the graphs f(x) and g(x) are that they are both linear functions, both have the same slope (rate of change of the function), and they form two parallel lines. The only difference between the two graphs is that they have different y-intercepts, specifically the y-intercept of the function f(x) is at (0, 2), and the y-intercept of the function g(x) is at (0, 8).

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

that looks hard im sorry cant do that

Step-by-step explanation:

Answer:

10k+15/5

Step-by-step explanation:

The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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The 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

To construct a 95% confidence interval for the mean weight of the bags of that specific brand of candies, we can use the following formula:

Confidence Interval = Sample Mean ± (Critical Value)× (Standard Deviation / √Sample Size)

First, let's calculate the critical value. Since the population distribution is assumed to be normal and the sample size is small (n = 16), we can use a t-distribution instead of a z-distribution.

The critical value can be obtained from the t-distribution table or using statistical software. For a 95% confidence level with 15 degrees of freedom (n - 1 = 16 - 1 = 15), the critical value is approximately 2.131.

Now, we can plug in the given values into the formula:

Sample Mean = 2.5 ounces (given)

Standard Deviation = 0.1 ounces (known)

Sample Size (n) = 16 (given)

Critical Value = 2.131 (from t-distribution)

Confidence Interval = 2.5 ± (2.131)× (0.1 / √16)

Calculating the standard error (Standard Deviation / √Sample Size):

Standard Error = 0.1 / √16 = 0.1 / 4 = 0.025

Confidence Interval = 2.5 ± (2.131) × (0.025)

Calculating the bounds of the confidence interval:

Lower Bound = 2.5 - (2.131) ×(0.025)

Upper Bound = 2.5 + (2.131)×(0.025)

Lower Bound ≈ 2.5 - 0.0539 ≈ 2.4461 ounces

Upper Bound ≈ 2.5 + 0.0539 ≈ 2.5539 ounces

Therefore, the 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

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The solutions for the equation (5x - 2)² = 10 are x = 3/5 and x = 1/5.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 7 is an equation.

We have,

(5x - 2)² = 10

25x² - 20x + 4 = 10

25x² - 20x + 4 - 10 = 0

25x² - 20x - 6 = 0

Now,

Solve for x.

25x² - 20x - 6 = 0

This is in the form of ax² + bx + c

So,

a = 25

b = -20

c = -6

Using the determinant.

x = -b ± √(b² - 4ac) / 2a

x = 20 ± √(400 + 600) / 50

x = 20 ± √(100) / 50

x = (20 ± 10) / 50

x = 10 (2 ± 1) / 50

x = (2 ± 1)/5

x = (2 + 1)/5 and x = (2 - 1)/5

x = 3/5 and x = 1/5

Thus,

The solutions are x = 3/5 and x = 1/5.

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Answer:

-166

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

The Celsius temperature that has the same value as when converted to a Fahrenheit temperature is -40

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

F = 9/5C + 32

The Celsius temperature that has the same value as F implies that

C = F

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

C = 9/5C + 32

So, we have

C - 9/5C = 32

Evaluate the like terms

-4/5C = 32

So, we have

C = -32 * 5/4

Evaluate

C = -40

Hence, the value of C is -40

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Answer:

It will be positive.

Step-by-step explanation:

When you multiply the two negative numbers or two positive numbers the answer will always be positive. one positive and one negative, the answer will be negative.

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.

x² - 5x - 6

= x² + x - 6x - 6

= x(x + 1) - 6(x + 1)

= (x - 6) (x + 1)

x² + 3x - 40

= x² + 8x - 5x - 40

= x(x + 8) -5(x + 8)

= (x - 5) (x + 8)

x² + 3x - 4

= x² + 4x - x - 4

= x(x + 4) -1(x + 4)

= (x - 1) (x + 4)

Given :

The figure of the circle N

As shown:

the measure of the angle JNK = the measure of the angle MNL = 21

Both of the angles are central angles

The measure of the arc = the measure of the central angle opposite to that arc.

Angle JNM and angle JNK are supplementary angles.

So, the measure of the arc JK = 21

The measure of the arc JNM = 180 - 21 = 159

The measure of the arc KL = the measure of the arc JNM = 159

Beacuse of the vertex angles are congruent.

Answer:

after 9 days

Step-by-step explanation:

day 1

you: 70

friend: 54

day 2

you: 65

friend: 51

day 3

you: 60

friend: 48

day 4

you: 55

friend: 45

day 5

you: 50

friend: 42

day 6

you: 45

friend: 39

day 7

you: 40

friend: 36

day 8

you: 35

friend: 33

day 9

you: 30

friend: 30

Answer:

8 days

Step-by-step explanation:

x=days

70 - 5x = 54 - 3x

-54                 +5

16         =        2x

8          =          x

Check:

       you                    friend

70 - 5 x 8 = 30  |  54 - 3 x 8 = 30

70  -  40   = 30  |  54  -  24   = 30

    30       =  30  |      30        = 30

Answer:

2, 0.2, 0.02

The first number is 2000.  The term to term rule is 'divide by 10'.

Step-by-step explanation:

To calculate the next term, divide the previous term by 10:

2000 ÷ 10 = 200

200 ÷ 10 = 20

Therefore, the next three terms will be:

20 ÷ 10 = 2

2 ÷ 10 = 0.2

2 ÷ 10 = 0.02

Term to term rule

To work out the term to term rule, give the initial number of the sequence and then describe the pattern:

The first number is 2000.  The term to term rule is 'divide by 10'.

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\( \frac{13x - 37}{2} = 2x + 13 \\ \)

Multiply sides by 2

\(2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ \)

\(13x - 37 = 4x + 26\)

Subtract sides 4x

\( - 4x + 13x - 37 = - 4x + 4x + 26 \\ \)

\(9x - 37 = 26\)

Add sides 37

\(9x - 37 + 37 = 26 + 37\)

\(9x = 63\)

Divide sides by 9

\( \frac{9x}{9} = \frac{63}{9} \\ \)

\(x = 7\)

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\(DE = 2x + 13\)

\(DE = 2(7) + 13\)

\(DE = 14 + 13\)

\(DE = 27\)

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The correct answer is Option four .

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The probability that the next piece of track Carly picks will be straight is 8/24 or 1/3

From the given information, Carly has picked 8 straight, 7 curved, 4 cross, and 5 switch tracks.

The total number of pieces of the track she has picked is 8 + 7 + 4 + 5 = 24

The probability that the next piece of track Carly picks will be straight is calculated as follows:

Probability = Number of straight tracks/Total number of tracks= 8/24= 1/3T

Therefore, the probability that the next piece of track Carly picks will be straight is 1/3.

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Answer: 1/3

Step-by-step explanation: i did this question and got it right