Check all equations that are equivalent.

EXPLAIN please

Answer:

8

Step-by-step explanation:

41-9=32

32/4=8

Answer:

15 up plus 20 down= 35 feet.

Step-by-step explanation:

15+20=35

Answer:

a) 80%

b) 20%

90 plus 70 divided by 200 x 100

(a) The probability of being dealt a flush is approximately 0.00198079. (b) The probability of being dealt one pair is approximately 0.42256903. (c) The probability of being dealt two pairs is approximately 0.04753902. (d) The probability of being dealt three of a kind is approximately 0.02112845. (e) The probability of being dealt four of a kind is approximately 0.00024010.

(a) To calculate the probability of being dealt a flush, we need to determine the number of favorable outcomes (the number of ways to get a flush) and the total number of possible outcomes (the total number of poker hands). There are 4 suits, so the number of ways to get a flush is 4. The total number of possible poker hands is given by the combination formula, C(52, 5), which is calculated as 2,598,960. Therefore, the probability of being dealt a flush is 4/2,598,960, which is approximately 0.00198079.

(b), (c), (d), (e) Similar to (a), we need to determine the number of favorable outcomes and the total number of possible outcomes for each scenario. We use the combination formula to calculate the number of ways to get the desired hand and divide it by the total number of poker hands to get the probability.

For one pair, there are 13 choices for the denomination of the pair, and C(4, 2) choices for the two suits of the pair. The remaining 3 cards can be chosen from the remaining 48 cards, excluding the 2 pairs. The total number of poker hands is still 2,598,960.

For two pairs, there are 13 choices for the denominations of the pairs, C(4, 2) choices for the suits of the first pair, C(4, 2) choices for the suits of the second pair, and 44 choices for the last card. Again, the total number of poker hands is 2,598,960.

For three of a kind, there are 13 choices for the denomination of the three cards, C(4, 3) choices for the suits of the three cards, and C(12, 2) choices for the remaining two denominations. The remaining 2 cards can be chosen from the remaining 44 cards. The total number of poker hands is 2,598,960.

For four of a kind, there are 13 choices for the denomination of the four cards, C(4, 4) choices for the suits of the four cards, and 48 choices for the last card. The total number of poker hands is 2,598,960.

By using the combination formula and dividing the favorable outcomes by the total outcomes, we can calculate the probabilities for each scenario.

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Answer:

I don't know where can you find this question's answer.

The inequality to find the amounts of sales that will meet Liz's goal is S ≥ 11,250.

We can set up the following inequality:

2000 + 0.08S ≥ 2900

In this inequality, the number "2000" stands for Liz's fixed monthly pay of $2,000.

The phrase "0.08S" denotes the commission she receives, which is equal to 8% (0.08 in decimal form) of her sales "S."

The number "2900" stands for her target monthly income of at least $2,900.

Simplifying the inequality, we have:

0.08S ≥ 900

To solve for 'S', we divide both sides of the inequality by 0.08:

S ≥ 900 / 0.08

S ≥ 11,250

So, the inequality to find the amounts of sales that will meet Liz's goal is S ≥ 11,250.

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

I - 4

J - 0.5

K - 0

L - 4

Step-by-step explanation:

The y-intercept of a graph is where it crosses the y-axis. Looking at the graph, it passes the y-axis at the point (0, 4), and the value of Y at this point is 4. The value of x at this point is 0.

The formula to find slope(m) is:

m = (y2 - y1) / (x2 - x1)

given points (x1, y1) and (x2, y2).

We will be plugging in the points they give us, (0, 4) and (4, 6):

m = (6 - 4) / (4 - 0)

m =2 / 4 - we can write this as:

m = 0.5

Slope-intercept form of an equation is written as:

y = mx + b

where m is the slope and b is the y-coordinate of the y-intercept.

B would be the same as the answer for I, 4.

Extra:

Equation for the line: y = 0.5x + 4

If 400 baht is shared between A and B; A gets 240 baht while B gets 160 baht.

A linear equation is a polynomial with a degree of one. The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let x represent the amount of money that A gets and y represent the amount of money that B gets.

400 Baht is been divided between A and B, hence:

x + y = 400    (1)

Also; twice A's share may equal three times B's share, hence:

2x = 3y

2x - 3y = 0     (2)

From both equation 1 and 2:

x = 240, y = 160

A gets 240 baht while B gets 160 baht.

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On solving the provided query we have The test statistic (-2.5594) falls in  equation the rejection zone since it is less than the threshold value (-2.009).

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

a. The average hourly wage is equal to $22 under the null hypothesis, whereas it is not $22 under the alternative hypothesis.

A = $22 is the null hypothesis (H0).

Additional Hypothesis (Ha): $22

b. The test statistic's value can be determined as follows:

t = sqrt(sample size) / (population standard deviation / hypothesised mean) / (sample mean - hypothesised mean)

t = (20.2106 - 22) / (6 / sqrt(50))

t = -2.5594

c. The critical value with 49 degrees of freedom and a 5% significance level is 2.009.

d. The test statistic (-2.5594) falls in the rejection zone since it is less than the threshold value (-2.009).

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Answer:

1. 8-8-18 =

   0-18 =

     -18

The specific function that will be called by the function call square(23.4) cannot be determined without knowing the definitions of the four functions.

The answer depends on the function signatures and parameter types of the defined functions.

To determine which function will be called, we need to consider the parameter types and function signatures of the four defined functions. If one of the functions has a parameter that matches the type of the argument passed (in this case, 23.4), that function will be called.

The function definition must explicitly state a parameter of the appropriate type to match the argument. Without knowledge of the function definitions and their parameter types, it is not possible to determine which specific function will be called by the function call square(23.4).

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Answer:

6 sqrt(3) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x

Answer:

x=6\(\sqrt{3}\)

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

\(\sqrt{3\)/2=x/12

do cross multiplication

2*x=12*\(\sqrt{3}\)

x=12\(\sqrt{3}\) /2

x=6\(\sqrt{3}\)

Answer:

I wanna say in the year of 2018.

Step-by-step explanation:

In 2018 the population will reach 40 million.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let us consider x years later it would reach 40 million.

So, 39.1 + 0.35 x = 40

0.35x= 40- 39.1

0.35x= 0.9

x= 2.57

x= 3 years

Hence, In 2018 the population will reach 40 million.

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a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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Answer:

23%

Step-by-step explanation:

Answer:

the answer should be 30

Step-by-step explanation:

since you can divided 15 by 5 to get 3, you can multiply 10 x 3 to get 30

The overestimate is 76, the underestimate is 34, and the average of the two is 55 and the volume of the object of 64.

To approximate the volume of the object, we can divide the base into four subrectangles of equal width, with each having a width of 1. The height of each subrectangle is given by the function f(x,y) = xy.

Subrectangle 1: (0,0) to (1,4), height = f(0.5, 2) = 1

Subrectangle 2: (1,0) to (2,4), height = f(1.5, 2) = 3

Subrectangle 3: (2,0) to (3,4), height = f(2.5, 2) = 5

Subrectangle 4: (3,0) to (4,4), height = f(3.5, 2) = 7

The volume of each subrectangle can be found by multiplying its width, height, and depth (which is equal to 4). So, the volume of the object can be approximated by:

V ≈ (1 x 4) + (3 x 4) + (5 x 4) + (7 x 4)
V ≈ 64

To find the overestimate and underestimate, we can use the maximum and minimum values of f(x,y) within each subrectangle.

Overestimate: Using the maximum value of f(x,y), we get:

Vmax ≈ (1 x 4) + (4 x 4) + (6 x 4) + (8 x 4)
Vmax ≈ 76

Underestimate: Using the minimum value of f(x,y), we get:

Vmin ≈ (0.5 x 4) + (1.5 x 4) + (2.5 x 4) + (3.5 x 4)
Vmin ≈ 34

To get the average, we can add the overestimate and underestimate and divide by 2:

Average = (Vmax + Vmin) / 2
Average = (76 + 34) / 2
Average = 55

Therefore, the overestimate is 76, the underestimate is 34, and the average of the two is 55.

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

To write the equation of a circle you need the coordinates of the center (h,k) and the radius (r):

For the given circle:

Center: (3,5)

Radius (distance between center and circunference): 7 units

h= 3

k= 5

r= 7

Equation:

Answer:

n=6

Step-by-step explanation:

The revolutions the wheel will have to make before the car comes to a complete stop are approximately 25.5 revolutions.

To find out how many revolutions the wheel will have to make before the car comes to a complete stop, we need to use the information provided about the distance and diameter of the wheel.

First, we need to convert the diameter from centimeters to meters: 61 centimeters = 0.61 meters.

Next, we can use the formula for the circumference of a circle: C = πd, where C is the circumference and d is the diameter.

So the circumference of the wheel is: C = π(0.61m) = 1.92m.

Now we can use the distance the car can stop in, 49 meters, to calculate the number of revolutions of the wheel:

49m ÷ 1.92m/rev ≈ 25.5 revolutions.

Therefore, the wheel will have to make approximately 25.5 revolutions before the car comes to a complete stop.

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Answer:

m(arc WXY) = 224°

Step-by-step explanation:

By inscribed angle theorem,,

"Measure of intercepted arc is double of the inscribed angle"

m(arc WXY) = 2[m(∠YCW)]

Here, arc WXY is the intercepted arc and ∠YCW is the inscribed angle.

By substituting the value of inscribed angle,

m(arc WXY) = 2(112°)

                     = 224°

Therefore, measure of arc WXY is 224°.

The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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Answer:

20cm

Step-by-step explanation:

We know that on the map, 3 cm represents 150 m.

To find how far apart two points are on the map when they are 1 km (1000 m) apart in reality, we can set up a proportion using the given scale:

(3 cm) / (150 m) = (x cm) / (1000 m)

We can cross-multiply and solve for x:

3 cm * 1000 m = 150 m * x cm

3000 cm * m = 150 m * x cm

The unit "m" cancels out, leaving us with:

3000 cm = 150 * x cm

Divide both sides by 150 cm:

3000 cm / 150 cm = x

20 = x

Therefore, the two points are 20 cm apart on the map.

Answer:

2.70/3=0.9

0.9x8=7.20

Answer is 3 - $7.20

Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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Answer:

5832

Step-by-step explanation:

15 - 7 = 8

8 × 2 = 16

16 + 2 = 18

18 × 18 × 18 = 5832

Using it's concept, it is found that the percentage of female students in the 18-24 age group was of 53.39%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

Researching the problem on the internet, it is found that the 18-24 age group is composed by 6440 + 5622 = 12062 students, of which 6440 are female, hence the percentage is given by:

\(P = \frac{6440}{12062} \times 100\% = 53.39\%\)

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