According to a survey, 25.1% of credit-card-holding families in a certain area hardly ever pay off the balance. Suppose a random sample of 22 credit-card-holding families is taken. Find the
probability that more than 3 families hardly ever pay off the balance.

The probability that more than 3 families hardly ever pay off the balance is
(Round to four decimal places as needed.)

Answer:

2/3

Step-by-step explanation:

Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.

Each person gets 1/3 + 1/3 which is called 2/3.

The amount of pizza each friend will get, as expressed as a fraction is: 2/3.

Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.

There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.

Each friend will get: 2/3 pizzas.

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Answer:-2,0 & 1,0

Step-by-step explanation:

Substitute them in with zero product property

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer: thats correct because 3x3 is 9 but 3x2 is 6 so if its 3 squared it correct but not 3x2

Step-by-step explanation: sorry if its confusing not sure if you want x^2 or x2

Answer:

25

Step-by-step explanation:

100 / 4 = 25

if helpful, pls mark 5 star, thanks, and brainliest!

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation:

Answer:

c = 85+20d

c = 245

Step-by-step explanation:

Cost = initial fee + cost per day * number of days

cost = 85 + 20*d  where d is the number of days

c = 85+20d

We need to rent for 8 days so d = 8

c = 85+ 20*8

c = 85 + 160

c =245

After answering the presented questiοn, we can cοnclude that equatiοn Therefοre, there are 144 wοrds οn the vοcabulary list.

A mathematical equatiοn is a fοrmula that cοnnects twο statements and denοtes equivalence with the equals symbοl (=). An equatiοn is a mathematical statement that shοws the equality οf twο mathematical expressiοns in algebra. In the equatiοn 3x + 5 = 14, fοr example, the equal sign separates the variables 3x + 5 and 14.

A mathematical fοrmula describes the cοnnectiοn between the twο sentences that οccur οn οppοsite sides οf a letter. The symbοl and the single variable are frequently the same. As in 2x - 4 Equals 2, fοr instance.

1/4 x = tοtal number οf wοrds Miguel has nοt memοrized

1/4 x = x - 36

x/4 = 36

x = 144

Therefοre, there are 144 wοrds οn the vοcabulary list.

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(a) 45 tens is equal to 450. :- True

(b) 12.3 is equal to 123 ones. :- True

(c) 80 tens is greater than 6 hundreds. :- True

(d) 43,200 is less than 50 thousands. :- True

(e) 60 hundreds = 6,000 :- True

Consider the first statement,

45 tens are equal to 450

So, 45 tens mean 45 times 10 is written as:

45 × 10 = 450

Hence, it's true.

Consider the second statement,

12.3 is equal to 123 ones.

Now, 123 ones is equal to 123 times 1.

123 × 1 = 123

Hence, the statement is true.

Consider the third statement,

80 tens is greater than 6 hundreds.

Now 80 tens = 80 × 10 = 800

Now, 6 hundreds = 6 × 100 = 600

Now, 800 > 600

Hence, the statement is true.

Consider the fourth statement.

43,200 is less than 50 thousands.

Now, 50 thousands = 50 × 1000 = 50,000

We know,

50,000 > 43,200

Therefore, the statement is true.

Consider the fifth statement,

60 hundreds = 6000

Now, 60 hundreds = 60 × 100 = 6000

Therefore, the statement is true.

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Answer:

(3/5) (30x - 15) = 72 ⇔ 18x - 9 = 72

(3/5) (30x - 15) = 72 ⇔ 3(6x - 3) = 72

(3/5) (30x - 15) = 72 ⇒ x = 4.5

Equation 1 and 2 have the same value.

Equations C and D have the same value.

A formula is given to us: 3/5 (30x -15) = 72. The equations with the same value of x are the ones we are to choose.

Let's tackle the issue at hand.

3/5 . 30x - 3/5 . 15=72

3.6x - 3.3= 72

18x - 9 = 72

As a result, option C is the best one.

As we factor 3 out of the equation above, we get:

3 . 6x - 3 . 3 = 72

3(6x-3)=72

As a result, option D is also a good decision.

Let's figure out what x is: 3(6x-3) / 3 = 72/3

6x-3=24

x = 4.5

As a result, the final choice is also right.

(3/5) (30x - 15) = 72⇔ 18x - 9 = 72

(3/5) (30x - 15) = 72 ⇔ 3(6x - 3) = 72

(3/5) (30x - 15) = 72 ⇒ x = 4.5

Equations C and D have the same value.

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Answer:

y = 2x - 14

Step-by-step explanation:

y = mx + c

(4) = (2)(9) + c

4 = 18 + c

-14 = c

y = 2x -14

Answer:

it would be 8736x^2-728x

Step-by-step explanation:

Answer:

The last one

Step-by-step explanation:

Answer:

D, Divide both sides by -4.6

Step-by-step explanation:

You want to get the x and the regular integers on separate sides of the equals sign, so you divide the -4.6 to get the x on its own side of the equals sign. That's the first step to solving the equation.

Answer:

13/18

Step-by-step explanation:

P(Picking a boy)=26/36=13/18

Answer:

-6/5

Step-by-step explanation:

Perpendicular definition is that two gradients multiplying each others must equal to -1. This can be written in the form of \(\displaystyle{m_1m_2=-1}\) where m stands for gradient or slope.

First, we know that the gradient of a line is 5/6, we'd have to find another gradient that is perpendicular to each other. Hence, substitute in the equation:

\(\displaystyle{\dfrac{5}{6}m_2=-1}\)

Solve for \(m_2\), multiply both sides by 6 first:

\(\displaystyle{\dfrac{5}{6}m_2 \times 6=-1 \times 6}\\\\\displaystyle{5m_2=-6}\)

Divide both sides by 5:

\(\displaystyle{\dfrac{5m_2}{5}=\dfrac{-6}{5}}\\\\\displaystyle{m_2=-\dfrac{6}{5}}\)

Therefore, the gradient that is perpendicular to 5/6 is -6/5

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

We have,

A line perpendicular to a line with a gradient of ⅚​ will have a gradient that is the negative reciprocal of ⅚​.

The negative reciprocal of ⅚​ can be found by taking the reciprocal of ⅚​ (which is 6/5) and then negating the result.

So the gradient of the perpendicular line is:

-1/(6/5) = -5/6

Therefore,

The gradient of a line perpendicular to a line with a gradient of ⅚​ is -5/6.

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Answer:

26.19

Step-by-step explanation:

If you put them into a ratio you will find (x/11)=(50/21). After cross multiplication, you will get (11)(50)=(21)(x). After solving the equation you get x to be 26.1905

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

r≈4.775

Step-by-step explanation:

the formula for this is: r=(3V /4π)^⅓

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

182.8125

Step-by-step explanation:

Given:

y = x^3

from [2,5] using 6 subdivisions

deltax = (5 - 2)/6 = 3/6 = 0.5

hence the subdivisions are:

[2, 2.5]; [2.5, 3]; [3, 3.5]; [3.5, 4]; [4, 3.5]; [4.5, 5]

hence the right endpoints are:

x1 = 2.5; x2 = 3; x3 = 3.5; x4 =4; x5 = 4.5; x6 = 5

now the area is given by:

A = deltax*[2.5^3 + 3^3 + 3.5^3 + 4^3+ 4.5^3 + 5^3]

A = 0.5*365.625

A = 182.8125

Area using Right Endpoint approximation is 182.8125

The area of the region is an illustration of definite integrals.

The approximation of the area of the region R is 182.8125

The given parameters are:

\(\mathbf{f(x) = x^3}\)

\(\mathbf{Interval = [2,5]}\)

\(\mathbf{n = 6}\) ------ sub intervals

Using 6 sub intervals, we have the partitions to be:

\(\mathbf{Partitions = [2,2.5]\ u\ [2.5, 3]\ u\ [3,3.5]\ u\ [3.5,4]\ u\ [4,4.5]\ u\ [4.5,5]}\)

List out the right endpoints

\(\mathbf{x= 2.5,\ 3,\ 3.5,\ 4,\ 4.5,\ 5}\)

Calculate f(x) at these partitions

\(\mathbf{f(2.5) = 2.5^3 = 15.625}\)

\(\mathbf{f(3) = 3^3 = 27}\)

\(\mathbf{f(3.5) = 3.5^3 = 42.875}\)

\(\mathbf{f(4) = 4^3 = 64}\)

\(\mathbf{f(4.5) = 4.5^3 = 91.125}\)

\(\mathbf{f(5) = 5^3 = 125}\)

So, the approximated value of the definite integral is:

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx \frac{1}{2}(\sum f(x))}\)

This becomes

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx \frac{1}{2}(15.625 + 27 + 42.875 + 64+91.125 + 125)}\)

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx \frac{1}{2} \times 365.625}\)

\(\mathbf{\int\limits^5_2 {f(x)} \, dx \approx 182.8125}\)

Hence, the approximation of the area of the region R is 182.8125

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Answer:

\(Volume = 11488.21\)

\(Area = 2461.76\)

Step-by-step explanation:

Given

\(Radius, r = 14\ in\)

Shape: Sphere

Solving (a): The Volume

This is calculated as:

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

Take \(\pi\) as 3.14 and substitute 14 for r

\(Volume = \frac{4}{3} * 3.14 * 14^3\)

\(Volume = \frac{4}{3} * 3.14 * 2744\)

\(Volume = \frac{4 * 3.14 * 2744}{3}\)

\(Volume = \frac{34464.64}{3}\)

\(Volume = 11488.21\)

Solving (b): The Surface Area

This is calculated as follows:

\(Area = 4\pi r^2\)

Take \(\pi\) as 3.14 and substitute 14 for r

\(Area = 4 * 3.14 * 14^2\)

\(Area = 4 * 3.14 * 196\)

\(Area = 2461.76\)

Answer:

Step-by-step explanation:

1)

Congruency shortcuts:  

HL, SSS, SAS, ASA, and AAS

where S=side

A=angle

H=hypotenule

L=leg

HL is only for a right triangle

If you can prove sides and angles are congruent according to those 5 rules, you have proven the triangles are congruent

Similarity shortcuts:

AA, SAS, SSS

We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS)

2)

BG ≅ GD              >Given from image

IG ≅ GO               >Given from image

<BGI ≅ <DGO        >Vertical Angles

ΔBGI  ≅ ΔDGO        >SAS            

You have proven that the triangles are congruent because you used the shortcut by proving a side and angle and a side are congruent so SAS makes them congruent

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

\(P(F/E) = 0.6\)

Step-by-step explanation:

If we are given two dependent events \(A\) and \(B\) such that their chances of occurrence or the probabilities of the events are: \(P(A)\) and \(P(B)\).

Then the conditional probability that the event \(B\) will occur given that \(A\) has already occurred is given by the following formula:

\(P(B/A) = \dfrac{P(A \cap B)}{P(A)}\)

Here the two events given are \(E\) and \(F\).

\(P(E\ and\ F)\ or\ P(E\cup F) = 0.3\)

and \(P(E) = 0.5\)

As per the above formula that we have already discussed, the formula can be written as:

\(P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}\)

Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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