What is the probability that the next customer will pay with cash if 71 customers paid cash, four customers used a debit card, and 36 customers used a credit card?

Answer:

0.136

Step-by-step explanation:

If you have a calculator with statistical functions, this problem is straightforward.

Use the normcdf function as follows:

normcdf(300,350,400,50) = 0.136

This result is the probability that a worker makes between $300 and $350 per week:  0.136

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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The correct answer is D. Specific, chosen respondents.

Factors that determine the selection of a particular survey method typically include sampling precision (A), incidence rate (B), and budget (C). These factors help researchers determine the appropriate survey methodology based on the desired level of accuracy, the target population, and the available resources.

However, the specific, chosen respondents (D) are not typically a factor that determines the selection of a survey method. The survey method itself is selected based on other factors such as those mentioned above.

In summary, factors such as sampling precision, incidence rate, and budget are important considerations in selecting a survey method, while the specific, chosen respondents are typically determined based on the research objectives and the selected survey method.

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Answer:

68.2

Step-by-step explanation:

You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).

5^2+x^2=14^2

25+x^2=196

x^2=196-25=171

x=13.0 (rounded)

Next, use one of sin or tan to find the missing angle.

Sin0=opposite/hypotenuse

Sin0=13/14

0=sin^-1(13/14)

0=68.213 (rounded)

The value of the angle asked is 69°.

Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,

We need to find the angle θ which is between the base and the hypotenuse,

To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).

The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.

Therefore, we can use the following formula:

cos(θ) = adjacent/hypotenuse

Plugging in the values we know:

cos(θ) = 5/14

To find the angle θ, we need to take the inverse cosine (arccos) of both sides:

θ = arccos(5/14)

θ = 69°

Hence the value of the angle asked is 69°.

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Answer:

Exact Form:

87923 /216320

Decimal Form:

0.40644877

Step-by-step explanation:

The value of the simplified expression is 31/40

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

2/5 + 3/8

Take teh LCM and eveluate the expression

so, we have the following representation

2/5 + 3/8 = (16 + 15)/40

Evaluate the like terms

2/5 + 3/8 = 31/40

Hence. the expression is 31/40

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Answer:

A

Step-by-step explanation:

Since AD  is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

\(\frac{AC}{AB}\) = \(\frac{CD}{BD}\) , substitute values

\(\frac{AC}{8}\) = \(\frac{3}{6}\) ( cross- multiply )

6AC = 24 ( divide both sides by 6 )

AC = 4 cm → A

The question is given as: If a test of the model shows that it holds 8,000 ounces, will the bridge hold 1 ton? 8,000 ounces on the model is equal to _ ounces on the actual bridge. Convert ounces to pounds. The actual bridge can hold _ pounds. Therefore, the bridge will/will not hold 1 ton.

In order to answer the question, let's first convert the 8,000 ounces to pounds as follows: 1 pound = 16 ounces. Therefore, 1 ounce = 1/16 pounds.

Now, 8,000 ounces = 8,000/16 = 500 pounds8,000 ounces on the model is equal to 500 pounds on the actual bridge.

Now, let's find out how many pounds one ton is: 1 ton = 2,000 pounds.

Therefore, the actual bridge can hold 2,000 pounds.

Thus, since 2,000 pounds is greater than 500 pounds, the bridge will hold 1 ton.

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Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1

Answer:

425

Step-by-step explanation:

Answer: 7.25/1

I think you are simplifying fractions so this should be the answer

Answer:

just do 4+2 then 6x9 the you get your top number then put 4 as the bottem number

Step-by-step explanation:

Step-by-step explanation:

.............,.,.,.,.,.,.,.,

Answer:

yes it is     3=4x0 +3

Step-by-step explanation:

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

Answer:

2108.53 I think it's that lol

The probability that an unprepared student, who can eliminate one possible answer on the first four multiple-choice questions and guess on all six questions, will answer at least four questions correctly on the test.

There are a total of 5 possible answers per question, so the probability of guessing the correct answer for any given question is 1/5. After eliminating one possible answer on the first four questions, the student has a 1/4 chance of guessing the correct answer for each of those questions.

For the remaining two questions, the student has a 1/5 chance of guessing the correct answer for each question. To calculate the probability of the student answering at least four questions correctly, we need to consider all possible outcomes where the student guesses at random.

There are 5^6 total possible outcomes, since there are 5 possible answers for each of the 6 questions. The number of ways the student can answer at least 4 questions correctly can be found by considering the possible combinations of questions that the student answers correctly.

There are 6 possible combinations of 4 questions that the student can answer correctly, and there are 15 possible combinations of 5 questions that the student can answer correctly.

There is only 1 possible combination where the student answers all 6 questions correctly. Therefore, the probability of the student answering at least 4 questions correctly is:

[(6 choose 4)(1/4)^4(3/4)^2] + [(15 choose 5)(1/4)^5(3/4)^1] + (1/5)^2 = 0.0194

So the probability that the student will answer at least four questions correctly is approximately 0.0194, or 97/500, when expressed as a fraction.

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The equation of the quadratic function is f(x) = 3(x - 2)² - 1

A quadratic function is an expression of the form f(x) = ax² + bx + c

Since we have the graph of f(x) which is quadratic, to write its function, we use the equation of a parabola in vertex form.

f(x) = a(x - h)² + k where (h, k) are the coordinates of its vertex.

Now, form the graph, the vertex is at (2, -1)

So, f(x) = a(x - 2)² + (-1)

f(x) = a(x - 2)² - 1

Also, we have the point (3, -4) on the graph. Substituting these into the equation, w ehave

f(x) = a(x - 2)² - 1

f(3) = a(3 - 2)² - 1

-4 = a(1)² - 1

-4 = a - 1

a = -4 + 1

a = - 3

So, substituting this into f(x), we have that

f(x) = 3(x - 2)² - 1

So, the equation is f(x) = 3(x - 2)² - 1

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The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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We can find the discount by taking the product between the price of the couch and the decimal form of the percentage, the discount on the couch is equal to $258.75

We know that for a couch whose price is $1,725, we apply a discount of the 15%.

Then we just need to find the 15% of $1,725, to do so, we need tu multiply the number by the decimal form of that percentage.

To get the decimal form, you need to take the quotient between the percentage and 100%, you will get:

15%/100% = 0.15

Then the discount is:

0.15*$1,725 = $258.75

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Answer:

2nd answer

Step-by-step explanation:

If you look at the translation, each letter goes to the right one on the X axis, and up for on the Y- axis. Therefore, using arrow notation, the answer would be (X,Y) -> (X + 1, y + 4)

The translation from the purple trapezoid to the orange trapezoid is up 4 units and to the right 1 unit.

Translating what I said into mathematical language is the second choice

Good day and I hoped that helped!

Applying the alternate exterior angles theorem, the value of x is: 22.

Angles that are formed outside of two parallel lines that are crossed by a transversal are said to be alternate exterior angles. Each lie alternatively along the transversal that intersects the two parallel lines.

According to the alternate exterior angles theorem any two angles that are alternate exterior angles have angle measures that are equal or congruent to each other.

The angles from the diagram, (5x - 5)° and (6x - 27)°, are alternate exterior angles.

Therefore:

(5x - 5)° = (6x - 27)° [alternate exterior angles theorem]

Solve for x

5x - 5 = 6x - 27

Add 5 to both sides

5x - 5 + 5 = 6x - 27 + 5 [addition property of equality]

5x = 6x - 22

Subtract 6x from both sides

5x - 6x = 6x - 22 - 6x [subtraction property of equality]

-x = -22

-x/-1 = -22/-1 [division property of equality]

x = 22

Therefore, applying the alternate exterior angles theorem, the value of x is: 22.

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Answer:

This answer is based on that I don't know what that 2 is for

Step-by-step explanation:

There are many different answers for this question

Area is l times w so 4 times 4 = 16 the lengths could be 4

If one of the sides is 2 then the length must be 8 because 8 times 2 is 16

9514 1404 393

Answer:

  b

Step-by-step explanation:

Use the distance formula with the two points Q and P, then simplify and match the pattern of the answer.

  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(b-0)^2+(-c-(-a))^2}\\\\\boxed{d=\sqrt{b^2+(-c+a)^2}}\)

The value b goes in the green box.

Eragon has a least chance of getting admitted to college based on test score because his score is much lower than the average score of most students who took the exam.

Eragon has a z-score of -2, which means his score is two standard deviations below the mean. Frodo has a z-score of 2.5, which means his score is two and a half standard deviations above the mean.

Since the ACT is a standardized test with a mean score of approximately 20 and a standard deviation of approximately 5, we can use this information to compare Eragon and Frodo's scores relative to all other students who took the exam.

Eragon's score is two standard deviations below the mean, which is a very low score compared to other students who took the exam. Frodo's score, on the other hand, is two and a half standard deviations above the mean, which is a very high score compared to other students who took the exam.

Therefore, Eragon has a least chance of getting admitted to college based on test score because his score is much lower than the average score of most students who took the exam.

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it will take approximately 29.823 seconds to produce 1.0 g of silver metal by the electrolysis of an AgNO3 solution using a current of 30 amps.

To determine how many seconds will be required to produce 1.0 g of silver metal by the electrolysis of an AgNO3 solution using a current of 30 amps, we need to follow these steps:

1. Calculate the number of moles of silver (Ag) in 1.0 g:
1.0 g / 107.87 g/mol (molar mass of Ag) = 0.00927 mol of Ag

2. Use Faraday's law of electrolysis to find the total charge needed:
Total charge (Q) = n × F
where n is the number of moles of Ag (0.00927 mol) and F is the Faraday constant (96,485 C/mol).
Q = 0.00927 mol × 96,485 C/mol = 894.7 C (Coulombs)

3. Determine the time (t) required to pass the total charge at a current of 30 amps:
t = Q / I
where Q is the total charge (894.7 C) and I is the current (30 A).
t = 894.7 C / 30 A = 29.823 seconds

So, it will take approximately 29.823 seconds to produce 1.0 g of silver metal by the electrolysis of an AgNO3 solution using a current of 30 amps.

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Answer:

its should 2

Step-by-step explanation: