The probability that john, a cricketer will strike a ball for 6 in a game is 0.4. assume that in a particular game he only faces 12 deliveries (balls). determine that the number of deliveries he will hit is: (a) exactly seven sixes [1] (b) at most one six [3] (c) between 3 and 6 sixes [3] (d) how many balls do we expect him to hit for six

Answer:

16

Explanation:

First you convert  

80

%

into a decimal which is  

.80

then you multiply it by  

20

.

.80

×

20

=

16

We multiply it by  

20

because that's our total and by  

.80

because that's the amount that we got correct. Had it been  

100

%

then that would mean we got every question right.

Step-by-step explanation:

Answer:

y = 7.25 + 0.65x

Step-by-step explanation:

y = total cost

x = each mile

it starts at 7.25

any mile after that is an extra $0.65

y = 7.25 + 0.65x

The ending balance based on the information given will be $2000.

From the information, it was stated that there are 2 checks for $500 and 2 bills for $2000 with $5000.

It should be noted that bill is a expense and will be deducted.

This will be illustrated as:

= $5000 + (2 × $500) - (2 × $2000)

= $5000 + $1000 - $4000

= $2000

Therefore, the ending balance based on the information given will be $2000.

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A)The rate of change of quantity with respect to price is dD/dp = 0.021p^2 - p + 150.

B) Consumers will want to buy approximately 21.875 units when the price is $25 per unit.

To find the rate of change of quantity with respect to price, we need to find the derivative of the demand function D with respect to p.

a) dD/dp:

D = 0.007p^3 - 0.5p^2 + 150p

To find dD/dp, we differentiate each term separately:

dD/dp = d/dp (0.007p^3) - d/dp (0.5p^2) + d/dp (150p)

= 0.021p^2 - p + 150

Therefore, the rate of change of quantity with respect to price is dD/dp = 0.021p^2 - p + 150.

b) To find the number of units consumers will want to buy when the price is $25 per unit, we substitute p = 25 into the demand function D:

D(25) = 0.007(25)^3 - 0.5(25)^2 + 150(25)

= 21.875

Therefore, consumers will want to buy approximately 21.875 units when the price is $25 per unit.

c) To find the rate of change at p = 25, we substitute p = 25 into the derivative dD/dp:

dD/dp |(p=25) = 0.021(25)^2 - 25 + 150

= 53.75

The rate of change at p = 25 is approximately 53.75. This means that for every unit increase in price at $25 per unit, the quantity demanded changes by approximately 53.75 units. It indicates the sensitivity of the demand to changes in price.

d) Whether dD/dp is positive or negative depends on the specific value of p. In general, if dD/dp > 0, it means that the quantity demanded increases as the price increases. On the other hand, if dD/dp < 0, it means that the quantity demanded decreases as the price increases.

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this is pretty simple! there are three dictionaries.

if all three dictionaries together have 1200 words, then each dictionary will have 1/3 of 1200 words. this is 400.

if each dictionary has 400 words, eight dictionaries will have 400*8 which is 3200 words.

Answer:

x = 30

Step-by-step explanation:

10, 15, 20

15, 22.5, x

10 + (10÷2)

=10 + 5

= 15

15 + (15÷2)

=15 + 7.5

= 22.5

20 + (20÷2)

=20 + 10

= 30

Answer: 5/8

Step-by-step explanation:

Answer:

c plus d is less than or equal to 11

Step-by-step explanation:

The statement that is true is:

Statements 1 and 3

Let's examine each statement individually:

If n is a multiple of 8, then n is a multiple of 4. This statement is true because every number that is divisible by 8 is also divisible by 4. Since 8 is a multiple of 4, any multiple of 8 will have factors of both 8 and 4. If n is a multiple of 18, then n is a multiple of 2.

This statement is also true. Any number that is divisible by 18 is also divisible by 2 because 18 contains a factor of 2. Every multiple of 18 will have at least one factor of 2.

Statement 2 is not true. If n is a multiple of 18, then n is a multiple of 9.

This statement is false because there are numbers that are multiples of 18 but not multiples of 9. For example, 18 itself is a multiple of 18 but not a multiple of 9, as 18 divided by 9 is equal to 2.

Therefore, the correct answer is c) Statements 1 and 3.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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The quadratic function represented by the graph is (c) f(x) = -3(x + 3)² + 3

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

The graph

A quadratic function is represented as

y = a(x - h)² + k

Where

Vertex = (h, k)

In this case, we have

Vertex = (h, k) = (-3, 3)

So, we have

y = a(x + 3)² + 3

Using the points on the graph, we have

a(-2 + 3)² + 3 = 0

So, we have

a = -3

This means that

y = -3(x + 3)² + 3

Hence, the quadratic function represented by the graph is (c) f(x) = -3(x + 3)² + 3

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Answer:

Step-by-step explanation:

f(2x) means that we have to substitute x with 2x

So, the answer is

2x + 3

Answer:

39

Step-by-step explanation:

Lets solve for x:

We know the ratio is 1:3

1x+3x = 52

4x = 52

x = 13

Since the ratio is 1:3:

13(3) = 39

13:39

Which makes 39 the larger number

Answer: the answer to this is true

Answer:

7.6

Step-by-step explanation:

1is less than 5 so let it rest

The statement "The relative frequency method assigns a probability of .2 to the outcome of making a donation" is true.

The relative frequency method assigns probabilities based on the observed relative frequencies of events in a sample. In this case, out of 250 people contacted, 50 made a donation to the city symphony. The relative frequency of making a donation is 50/250 = 0.2. Therefore, the relative frequency method assigns a probability of 0.2 to the outcome of making a donation.

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The total amount Sloan need to pay in order to get her DC license to the DMV is $935.

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.  

Sloan went to the DMV to get a new DC License, $40.0. The state inspection requires a $50.00 fee and does not cover the costs of any mechanical issues that may need to be fixed.

Thus, the total amount Sloan paid in inspection and DC license charge is,

\(C=40+50\\C=90\)

Now Sloan's car failed to pass inspection due to : Leaking gas caps, Imbalanced air-to-fuel ratio and faulty transmission. The total cost of repairs for the vehicle, was $875. 0.

Thus, the final cost of Sloan's car after the repairing of the vehicle is,

\(C=90+845\\C=935\)

Thus, the total amount Sloan need to pay in order to get her DC license to the DMV is $935.

Mechanical engineer are most capable to deal with fixing a vehicle and issues related to it. Thus, a mechanical engineer required to fix Sloan's car.

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Answer:

\(\frac{\sqrt{17} }{9}\)

Step-by-step explanation:

a^2 +b^2 =c^2 Use pythagorean theorem

8^2 +b^2 =9^2 Substitute in your known values

b=\(\sqrt{17} , -\sqrt{17}\)

b=\(\sqrt{17}\) A triangle leg cannot be a negative length

\(\frac{\sqrt{17} }{9}\) Find cosine of angle theta.

Answer:

9

Step-by-step explanation:

12-3=9

if dylon saw a 12 foot alligator that was 3 feet longer than the one linda saw to find out how long the alligator linda saw is, subtract the difference from the longer one12-3=9

25.The correct answer is A. The subject has an extreme criterion.26. The correct answer is B. The criterion is negative.

Question 25:If you know the true underlying sensitivity (d') is 2, but you measure d' as 0, the most reasonable conclusion would be that the subject has an extreme criterion. The criterion refers to the decision threshold used to differentiate between signal and noise. In this case, the subject's criterion is likely set in such a way that they are more conservative or cautious, leading to a reduced sensitivity measure.Therefore, the correct answer is A. The subject has an extreme criterion.

Question 26:When there are more False Alarms than Hits in signal detection, it suggests that the criterion is negative. The criterion represents the decision threshold, and a negative criterion implies a more liberal or lenient approach to categorizing events as a signal. This leads to a higher likelihood of detecting false alarms (incorrectly identifying noise as a signal) while potentially missing some true signals.Hence, the correct answer is B. The criterion is negative.

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To find the absolute value of an equation, you set up two separate equations representing the positive and negative cases, solve each equation, and check the solutions by substituting them back into the original equation.

Finding the absolute value of an equation involves determining the magnitude or distance of a number or expression from zero on the number line. The absolute value function is denoted by the symbol "|" surrounding the number or expression. The absolute value function always returns a positive value or zero, regardless of the sign of the number or expression inside it. Here's how you can find the absolute value of an equation:

Identify the number or expression inside the absolute value notation.

For example, consider the equation |x - 5| = 3.

Set up two separate equations.

The first equation represents the positive case:

x - 5 = 3

The second equation represents the negative case:

-(x - 5) = 3

Solve each equation separately.

Solve the first equation:

x - 5 = 3

x = 3 + 5

x = 8

Solve the second equation:

-(x - 5) = 3

-x + 5 = 3

-x = 3 - 5

-x = -2

x = 2 (multiply both sides by -1 to remove the negative sign)

Check the solutions.

Substitute the found values of x back into the original equation to ensure they satisfy the absolute value condition.

For |x - 5| = 3:

When x = 8: |8 - 5| = 3 (True)

When x = 2: |2 - 5| = |-3| = 3 (True)

State the solutions.

The solutions to the equation |x - 5| = 3 are x = 8 and x = 2.

In summary, to find the absolute value of an equation, you set up two separate equations representing the positive and negative cases, solve each equation, and check the solutions by substituting them back into the original equation.

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Answer:   It's -744.

  Multiply the first colum (-1,4) and then the second (2,-3) while also adding a zero. Remember it is both the 30 and the negative while multiplying.

     Hope this helped:)

Answer: B, Equivalent 0.4(k+3) = 0.4k +1.2

Step-by-step explanation:

when you distribute the 0.4 across k and 3, you multiply 0.4 by k and 3, getting you 0.4k+1.2 which is equivalent.

Answer:

yes

Step-by-step explanation:

0.4(k+3) = 0.4k+1.2

expand 0.4(k+3)

0.4 x k = 0.4k

0.4 x 3 = 1.2

so...

0.4k + 1.2

Answer:

7.

Step-by-step explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

Answer:

7

Step-by-step explanation:

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

\(7^8 * 7^3 * 7^4 = 7^{15}\)

Now, look at the rest of the simplified equation and do the same to the denominator:

\(\frac{7^{15}}{7^9*7^5}\) ⇒ \(\frac{7^{15} }{7^{14} }\)

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer \(7^{15-14}\) = \(7^1\) = \(7\)

a. The probability that a student scores higher than 85 on the exam can be calculated using the standard normal distribution and the given mean and standard deviation.

b. The probability that 4 or more students score 85 or higher on the exam can be calculated using the binomial distribution, assuming independence of the exam scores and using the probability calculated in part (a).

a. To find the probability that a student scores higher than 85 on the exam, we need to calculate the area under the normal distribution curve to the right of the score 85.

By standardizing the score using the z-score formula, we can use a standard normal distribution table or a statistical calculator to find the corresponding probability.

The z-score is calculated as (85 - mean) / standard deviation, which gives (85 - 80) / 5 = 1. The probability of scoring higher than 85 can be found as P(Z > 1), where Z is a standard normal random variable.

This probability can be looked up in a standard normal distribution table or calculated using a statistical calculator.

b. To calculate the probability that 4 or more students score 85 or higher on the exam, we can use the binomial distribution. The probability of a single student scoring 85 or higher is the probability calculated in part (a).

Assuming independence among the students' scores, we can use the binomial probability formula: P(X ≥ k) = 1 - P(X < k-1), where X is a binomial random variable representing the number of students scoring 85 or higher, and k is the number of students (4 in this case). We can then plug in the values into the formula and calculate the probability using a statistical calculator or software.

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The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

By taking the quotient between the total debt and the number of people, we conclude that the debt per person is $2,622

To find the amount of debt per person, we need to find the quotient between the total amount of debt and the number of people.

Here the total debt is:

$6.39 billion = $6.39*10^9

And the total number of people is:

2.437 million = 2.437*10^6

Then the quotient is:

Q = ($6.39*10^9)/( 2.437*10^6) = $2.622*10^3

The debt per person is:

Q = $2.622*10^3 = $2,622

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We can write the complete factored form of 7x²y³ + 56x³y² as

7x²y {y² + 8x³}.

Given is to factor the expression as -

7x²y³ + 56x³y²

The given expression is -

7x²y³ + 56x³y²

Factoring it, we get -

7x²y {y² + 8x³}

Therefore, we can write the complete factored form of 7x²y³ + 56x³y² as

7x²y {y² + 8x³}.

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