Plastic knives are sold in packs of 15 for 32p. Plastic forks are sold in packs of 12 for 43p. Sam wants to buy the same number of forks as knives. What is the least amount of money Sam will be able to spend?

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that [tex]p = 0.7[/tex]

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972[/tex]

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Answer: 3. 4[tex]\sqrt{13}[/tex]            4. [tex]\sqrt{225}[/tex]    

Step-by-step explanation:

8^2 + 12^3 = c^2

64 + 144 = c^2

208 = c^2

√208

[tex]4\sqrt{13}[/tex]

The final answer is the square root of 208

8^2 + b^2 = 17^2

64 + b^2 = 289

-64               64

   b^2 = 225

[tex]\sqrt{225}[/tex]

Answer:

B

Step-by-step explanation:

They are increasing by 1 vertically. Hope this helps!! :)

D because Caleb had swam 8 more after swimming 13

Answer:

x = 75

Step-by-step explanation:

Assuming the angles are equal  ( bisected means divided in half)

2x-5 = 145

Add 5 to each side

2x-5+5 = 145+5

2x = 150

Divide by 2

2x/150/2

x = 75

Answer:

x=75

Step-by-step explanation:

∠BAD is bisected by AC and measurement of BAC is equal to 2x - 5 and measurement of CAD is equal to 145. Since they are bisected, they are equal and the solution is shown below:

m ∠ BAC = m ∠ CAD

2x - 5 = 145 , transpose -5 to the opposite side such as:

2x = 145 + 5 , perform addition of 145 and 5

2x = 150

2x / 2 = 150 / 2 , divide both sides by 2

x = 75

The answer is 75 for the x value.

Answer:

Internal validity

Step-by-step explanation:

The internal validity here is weak

Internal validity describes the extent to which an evidence weighs the cause and effect claim. In this study, the internal validity that brought about failure in the new exam is mainly due to the environment where the exam was written and not the new exam itself.

So this validity is weak in claiming that the new exam is not a good substitute for the old exam.

Putting them in the same good environment might help the researchers to draw a better conclusion.

Step-by-step explanation:

45.50

Converting decimal

45.50 x 100 = 4550

Answer:

  $140

Step-by-step explanation:

You can add up the prices to find the total. Most of us find it easier to multiply the price by the number of items.

  cost of 2 shirts = (2)($25.00) = $50

  cost of 4 pants = (4)(22.50) = $90

The total was $50 +90 = $140.

Answer:

Ms. Barclay ordered 9 cupcakes.

Step-by-step explanation:

$1.25x9=11.25

11.25+3.25=$14.50

Answer:

A.0.059 , B.0.063

Step-by-step explanation:

1. There are 13 clubs in a pack of 52 cards;

Hence the probability of picking the first club is 13/52;

The probability of picking the second is 12/ 51( remember one card has been removed already so the total number of cards decreases).

Probability of picking two clubs in succession is ;

13/52 × 12/51 = 0.0588 = 0.059( to the nearest thousandth).

2. The probability of drawing a club followed by a club with replacement is;

13/52 × 13 /52 = 0.0625 = 0.063( to the nearest thousandth)

Answer:

$200

$100

Step-by-step explanation:

Darnell spends $100 dollars a week, if he reduces this spending by $50 a week, he will be able to save

$50 x 4 weeks in a months = $200

This, in a month he will be able to save $200.

Increasing his credit card payment by $200 to a total of $300...

since he now spends $50 per week now,

in a month he will spend $50 x 4 weeks = $200 and be able to save $100.

Answer:

$3.50

Step-by-step explanation:

$2 + (3 x $0.50) = x

$2 + $1.50 = x

x = $3.50

Answer:$3:50

Step-by-step explanation: 2+0.50+0.50=3+0.50=$3.50

Answer:

(C) y = 3x

Step-by-step explanation:

Directly proportional relation is one in which the value of x and y gets increases or decreased in same proportion.

example of such relation can be y = kx

where k is the constant of proportionality which depicts by how much value of  y will change in response to change of x.

_______________________________________________

now in the option

A and B

y= 9 , y =1/5

value of y is constant and does not depend on other variable. it value will remain same.

for y = x+4

value of y increases with x but it does not increase proportionally.

let see an example for x =1 , y = 1+4 = 5

x =2 , y = 2+4 = 6

(1,5)  and (2,6) are not proportionally changing also this equation is not of form y = kx

thus, it is incorrect option.

_______________________________

(C) y = 3x

here equation is form y =kx .  in place of k there is 3

let see an example for x =1 , y = 3*1 = 3

x =2 , y = 3*2 = 6

(1,3)  and (2,6) are  proportionally changing (1/3 = 2/6) also this equation is  of form y = kx

thus, it is correct option.

Answer:

7b = 10

Step-by-step explanation:

We have that:

5a + 2b = 0

a is two less than b

So a = b - 2.

Replacing in the above equation:

[tex]5a + 2b = 0[/tex]

[tex]5(b - 2) + 2b = 0[/tex]

[tex]5b - 10 + 2b = 0[/tex]

[tex]7b = 10[/tex]

[tex]b = \frac{10}{7}[/tex]

7b

[tex]7b = 7\frac{10}{7} = \frac{70}{7} = 10[/tex]

7b = 10

Answer:

The height of the ball is at it's maximum 1.5 units of time after launch.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]h(t) = at^{2} + bt + c[/tex]

If t is negative, the maximu value of h(t) will happen at the point

[tex]t_{MAX} = -\frac{b}{2a}[/tex]

In this question:

[tex]h(t) = -25t^{2} + 75t + 24[/tex]

So

[tex]a = -25, b = 75, c = 24[/tex]

Then

[tex]t_{MAX} = -\frac{b}{2a} = -\frac{75}{2*(-25)} = 1.5[/tex]

The height of the ball is at it's maximum 1.5 units of time after launch.

Answer:

57°

Step-by-step explanation:

According to theorem, "any two angles in the same segment of the circle are equal"

So,

m<BED = 57°

Answer:

Step-by-step explanation:

1/10*5 is the answer i think...

Answer:

Board Games: 30%

Karaoke: 50%

Bowling: 20%

Step-by-step explanation:

Board Games: [tex]\frac{3}{3+5+2} =\frac{3}{10} =\frac{30}{100}[/tex] or 30%

Karaoke: [tex]\frac{5}{3+5+2} =\frac{5}{10} =\frac{50}{100}[/tex] or 50%

Bowling: [tex]\frac{2}{3+5+2} =\frac{2}{10} =\frac{20}{100}[/tex] or 20%

Answer:

Board Games: 30%

Karaoke: 50%

Bowling: 20%

Step-by-step explanation:

3 + 5 + 2 = 10 so there are 10 family members.

3 out of 10 equals 30%

5 out of 10 equals 50%

2 out of 10 equals 20%

Please mark Brainliest if correct

Hope this helps!

Answer:

$160

Step-by-step explanation:

In the monthly payment option she would pay $80 per month, therefore in a year (12 months) she would pay:

$80*12 =  $960

We can see that this amount is greater than the $800 she would pay in the lump sum payment option.

The money she would save is:

$960 - $800 = $160

She would save $160 yearly with the lump sum payment option.

Answer:

The answer is 2.5ft².

Step-by-step explanation:

Given that the area of trapezoid formula is A = 1/2×(a+b)×h where a and b is the length and h is the height. Then substitute the following values into the formula :

[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]

Let a = 1.2,

Let b = 0.8,

Let c = 2.5,

[tex]area = \frac{1}{2} \times (1.2 + 0.8) \times 2.5[/tex]

[tex]area = \frac{1}{2} \times 2 \times 2.5[/tex]

[tex]area = 2.5 {feet}^{2} [/tex]

Answer:

The demand function in terms of cost is  [tex]D(c) = [\frac{[40c- 100 -4c^2 \ ])}{116} ] + 200[/tex]

Step-by-step explanation:

From the question we are told that

    The demand for a certain brand of a product is  

 [tex]D(p) = \frac{-p^2}{116} + 200 ----(1)[/tex]  

 The​ price, in terms of the cost​ c, is expressed as  

     [tex]p(c) = 2c -6 -----(2)[/tex]

Now substituting equation 2 into equation 1

        So

              [tex]D(c) = - [\frac{(2c -10 )^2)}{116} ] + 200[/tex]

             [tex]D(c) = - [\frac{[4c^2 + 100 -40c \ ])}{116} ] + 200[/tex]

              [tex]D(c) = [\frac{[40c- 100 -4c^2 \ ])}{116} ] + 200[/tex]

Answer:

I think it is -2

Step-by-step explanation:

I think but I do not know

Answer:

Average waiting time = 4 minutes

Step-by-step explanation:

From this question, we are told that the sky train is supposed to arrive every 8 minutes.

Thus, the waiting time of the passengers for the train = 8 minutes.

Then, the average waiting time is simply the mean or 50th percentile of the total waiting time.

So, average waiting time = 50% × 8

Average waiting time = 4 minutes

Answer:

b

Step-by-step explanation:

The given expression can be rewritten as 2 × 5 × 5 × 5 × 5 and is equal to 1250. The correct option is (B).

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is 2 × 5⁴.

It can be simplified using the rule of indices as follows,

The expression 5⁴ can be written as 4 times 5 as below,

5⁴ = 5 × 5 × 5 × 5.

Then, the expression can be evaluated as

⇒ 2 × 5 × 5 × 5 × 5

⇒ 1250

Hence, the expression can be simplified to obtain 1250.

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ANSWER: "There is not enough information to determine the answer". Option D is correct.

Step-by-step explanation:

For a case that was ruled by a court to be reversed by a higher court, they must be conditions in the ruling of the lower court that has been reconsidered by the higher court. This is regardless of the jurisdiction of the court or judge that ruled the case.

A case from all the courts in the options can be reversed by a higher court if the courts judgement lacks merit by the higher court, at any given times, irrespective of the court.

First check for the critical points of f by checking where the first-order derivatives vanish.

[tex]\dfrac{\partial f}{\partial x}=4x-4=0\implies x=1[/tex]

[tex]\dfrac{\partial f}{\partial y}=2y-4=0\implies y=2[/tex]

Notice how the point (1, 2) lies on the line y = 2x ; at this point, we get a value of f(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2). We already checked the last one. We find f(0, 0) = 1 (MAX) and f(0, 2) = -3.

Now check on the boundary lines themselves. If x = 0, then

[tex]f(0,y)=y^2-4y+1=(y-2)^2-3[/tex]

which has a maximum value of -3 when y = 2 (so we get the same critical point as before).

If y = 2, then

[tex]f(x, 2)=2x^2-4x-3=2(x-1)^2-5[/tex]

with a maximum of -5 when x = 1.

If y = 2x, then

[tex]f(x,2x)=6x^2-12x+1=6(x-1)^2-5[/tex]

with the same maximum of -5 when x = 1.

This question is based on the absolute maximum and absolute minimum.

We get this by differentiating the terms.

Given:

f(x,y) =   [tex]2x^{2} - 4x + y^2 - 4y +1[/tex], bounded by the lines x=0,y=2,y=2x in the first quadrant,bounded by the lines x=0,y=2,y=2x in the first quadrant.

We need to determined the absolute maximum and absolute minimum of the function.

Now, partial differentiating wrt x and y.

[tex]\dfrac{\partial f}{ \partial x} = 4x -4 = 0 \Rightarrow x= 1 \\\dfrac{\partial f}{ \partial y} = 2y - 4 = 0 \Rightarrow y = 2[/tex]

Now, point (1, 2) lies on the line y = 2x ; at this point, we get a value of

f(1, 2) = -5 (MIN).

Next, check the points where the boundary lines intersect, which occurs at the points (0, 0), (0, 2), and (1, 2).

Now, find f(0, 0) = 1 (MAX) and f(0, 2) = -3.

Now check on the boundary lines themselves.

If x = 0, then we get,

[tex]f(0,y) = y^2 - 4y +1 = ( y-2)^2 -3\\[/tex]

which has a maximum value of -3 when y = 2 (so we get the same critical point as before).

If y = 2, then we get,

f(x,2) = [tex]2x^2-4x -3 = 2(x-1)^2 -5[/tex] with a maximum of -5 when x = 1.

If y = 2x, then we get,

f(x,2x) = [tex]6x^2 -12x +1 = 6(x-1)^2 -5[/tex] with the same maximum of -5 when     x = 1.

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Answer:

126 in²

Dude just trust me

Answer:

x = -0.4

multi-step equation

Step-by-step explanation:

subtract 0.4 from 4 and 0.4 so it cancells out,

0.4 - 0.4 = 0 (cancelled out)

4 - 0.4 = 3.6

then bring down -9x and divide -9 from both sides

-9/-9 = 0 (cancelled out)

3.6 / -9 = -0.4

x = -0.4

Answer:

x = -0.4

Step-by-step explanation:

We have the equation:

-9x + 0.4 = 4

First, the operation to move all the constants to the right side is subtraction since we would have to subtract 0.4 from each side, let's see this:

Now, we have all the constants on the right side of the equation.

Now, the operation we need to perform to isolate the variable is division (since the x has a -9 that is being multiplied by x) we need to do the opposite operation:

Thus, the answer to this equation is x= -0.4

Answer:

The area of a trapezoid is 1/2 (b₁ + b₂) * h where b₁ and b₂ are the bases and h is the height. The answer is 1/2 * (3 + 4) * 1 = 3.5.