A person ran 300 yards ran how many feet did he run

We want to get the probability of selecting an orange, putting it back, then  selecting a block that is not orange.

We will see that the probability is P = 0.1799

In the bag we have:

For a total of 6 + 4 + 2 + 5 = 17 blocks.

First we want to find the probability of getting an orange block, as all the blocks have the same probability of being randomly drawn, the probability of randomly drawing an orange block is equal to the quotient between the number of orange blocks and the total number of blocks.

We get:

p = 4/17

Now we put the orange block back and we want to take a block that is not orange, the probability is computed in the same way:

q = (6 + 2 + 5)/17 = 13/17

The joint probability (this is, the probability of these two events happening together) is just the product of the individual probabilities.

We get:

P = p*q = (4/17)*(13/17) = 52/289 = 0.1799

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Answer:

d

Step-by-step explanation:

surface area of cylinder=2πr(r+h)

2*3.14*4(4+7)

25.12*11

276.3in²

Answer:

Step-by-step explanation:

2πrh+2πr^2 is the formula for finding the surface area of a cylinder.

Since the question said to use 3.14 for pi,

2 * 3.14 * 4* 7 + 2*3.14*16

= 175.84 + 100.48

= 276.32 in^2

So, the answer is d, 276.3 (rounded to 1 decimal place)

Answer:

bbbbb;bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

D

Step-by-step explanation:

Took test and got 100%

gfffffffffffffffffff

Answer:

2.6

Step-by-step explanation:

The probability of drawing exactly 3 black balls out of 5 is 0.2846, or approximately 0.2846 rounded to four decimal places.

To find the probability of drawing exactly 3 black balls out of 5, we need to use the binomial probability formula, which is:

P(X=k) = (n choose k) * p * (1-p)ⁿ⁻ᵏ

where P(X=k) is the probability of getting k successes, n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k items out of n.

In this case, n = 5, k = 3, p = 5/14 (the probability of drawing a black ball on the first draw is 5/14, and this probability decreases with each subsequent draw), and (n choose k) = 5 choose 3 = 10 (the number of ways to choose 3 black balls out of 5).

Plugging these values into the formula, we get:

P(X=3) = (5 choose 3) * (5/14)³ * (9/14)²

= 10 * 0.0752 * 0.3778

= 0.2846

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Answer:

the answer is 2

Step-by-step explanation:

Answer: 25.08%

Step-by-step explanation:

Given: Distance traveled by each volunteer driver is normally distributed.

Mean (\(\mu\)) = 50 thousand miles

standard deviation (\(\sigma\))=  12 thousand miles

Let X = distance traveled by each volunteer driver

Required probability : \(P(X<30)+P(X>60)\)

\(=P(\dfrac{X-\mu}{\sigma}<\dfrac{30-50}{12})+P(\dfrac{X-\mu}{\sigma}>\dfrac{60-50}{12})\\\\=P(z<-1.67)+P(z>0.83)\ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\= (1-P(z<1.67))+(1-P(z<0.83)\ \ \ [P(Z<-z)=1-P(Z<z)=P(Z>z)]\\\\= 2- P(z<1.67)-P(z<0.83)\\\\= 2- 0.9525-0.7967=0.2508\ \ [\text{By p-value table}]\)

Hence, percentage of drivers can be expected to travel either below 30 or above 60 thousand miles in a year = 25.08%

Both of these are correct. When multiplying 32 and 8, we should follow these steps:

So, the correct answer is 256.

Here is the multiplication shown step-by-step:

 32
   8

 16 --> drop down 6 and carry the 1

1
32
   8

   6

24-   --> drop down the 4 and add 1; carry the 2

 56

2

 32
    8

   6

 5 -

2 - - --> drop down the 2 since no more digits available to multiply

256 --> the answer

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The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:8.5%

Step-by-step explanation:

Answer:

0.085

Step-by-step explanation:

I hope this helps! :)

The difference between the area of the garden and the perimeter is \(x^{2}\) -10x + 21

A square is a polygon with 4 sides and 4 angles.

The four angles are right angles and it has four lines of symmetry.

The diagonals form right-angled triangles with equal adjacent sides.

The side of the squares are equal = x - 3

so that perimeter = 4 x side of the square

                           = 4 x ( x - 3)

                            = 4x - 12

Area of the square = side of square x side of square

                                = (x - 3) x ( x - 3)

                                 = \(x^{2}\) -3x -3x + 9

                                 = \(x^{2}\) -6x + 9

Difference between the area of garden and the perimeter of the garden =  \(x^{2}\) -6x + 9 - (4x -12)

=   \(x^{2}\) -6x -4x +9 + 12

=   \(x^{2}\)  -10x + 21

In conclusion the difference between the area of the square garden and its perimeter is   \(x^{2}\)  -10x + 21

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Answer:

...

Step-by-step explanation:

y=mx+b

y= -7/5x-3

Answer:

y=-7/5x-3

Step-by-step explanation:

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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Answer:

Step-by-step explanation:

Multiply the figure outside the bracket with each figure inside the bracket, and also be cautious of the signs.

1) -5(x + 2)

= -5x - 10    (multiply -5 with x and then multiply it with +2)

3) 7(1-9x)

= 7 - 63x    (multiply 7 with 1 then multiply it with 9x)

5) 9(8 - 8a)

= 72 - 72a    (multiply 9 with 8 then multiply it with 8a)

7) 4n - 7n

= -3n           (subtract the numbers only, as both are being multiplied with n, they can be subtracted)

9) n - 2 + 6

= n + 4          

Answer:

X=21.21

Step-by-step explanation:

Cos(45)=15\x

0.707=15\x

15\0.707 =x

X= 21.21

The missing side length of the right triangle is 20.51.

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios. The other important trig ratios, cosec, sec, and cot, can be derived using the sin, cos, and tan respectively."

Given,

Perpendicular of the triangle is 15

Hypotenuse of triangle is x

And the adjacent angle will be 180°-133° = 47°

Now, \(sin(47 degree) = Perpendicular/hypotenuse = 15/x\)

\(x = 15/0.731 = 20.51\)

In the to get to the answer we use sine of the triangle.

Because sin is the ratio of the perpendicular to the hypotenuse.

Hence, The missing side of the right triangle is 20.51.

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It's true.

An example of such a function:

\(f(x)=\begin{cases} 0 &\text{if } x \in\mathbb{Q}\\ 1&\text{if } x \not\in\mathbb{Q}\\ \end{cases}\)

Using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several.

The study of events that fit into a probability distribution is known as statistics.

So, we know that:

The boys are 17.

The girls are 22.

Probability formula: P(E) = Favourable events/Total events

Then, the probability that the 27th person is a boy:

P(E) = Favourable events/Total events

P(E) = 17/39

P(E) = 0.43

P(E) = 43%

Therefore, using probability we know that there is a 43% chance that the 27th person in the line would be a boy.

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Answer:

45440

Step-by-step explanation:

32,000*6*.07=13440

13440+32,000+45,440

The amount we have to pay at the end of the 6month period will be $33,120. The rate of interest on the loan is given as per annum and therefore; the interest is to be calculated for 6 months.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Calculation of settlement amount of loan:

Given:

Principle= $32,000

Rate= 7%

Tenure= 6 months

Interest is calculated from the following formula;

Interest= Principle x rate x tenure

Therefore the interest for the loan will be;

Interest = $32,000 x 7 x 6 months

           = 32,000 x 7/100 x 6/12

           = $1,120

The final payment for the loan will be the combination of principal and interest.

Therefore final payment = $32,000 +$1,120

                                         = $33,120

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In the picture we can se there are 9 questions. That is we have by using cross product weather the each pair of ratios forms a proportion.

1.NO, 2.NO, 3.No, 4.YES, 5.YES, 6.YES, 7.YES, 8.NO, and 9.NO.

Given that,

In the picture we can se there are 9 questions.

That is we have by using cross product weather the each pair of ratios forms a proportion.

1. 7/6, 52/48

You can cross multiply them to see whether you obtain the same result on both sides, which indicates that they are a proportion. Therefore, we multiply the denominator in the second by the first's numerator.

7 \(\times\)48 = 336

The denominator from the first side is now used, together with the numerator from the second side.

6 \(\times\)52 = 312

It is not a true proportional because they are not equal.

2. 3/11, 15/56

3 \(\times\)56 = 168

11 \(\times\)15 = 165

It is not a true proportional because they are not equal.

3. 18/24, 36/28

18 \(\times\)28 = 504

24 \(\times\)36 = 864

It is not a true proportional because they are not equal.

4. 12/11, 108/99

12 \(\times\)99 = 1188

11 \(\times\)108 = 1188

It is a true proportional because they are not equal.

5. 8/9, 72/81

8 \(\times\)81 = 648

9 \(\times\)72 = 648

It is a true proportional because they are not equal.

6. 1.5/9, 1/6

1.5 \(\times\)6 = 9

9 \(\times\)1 = 9

It is a true proportional because they are not equal.

7. 3.4/5.2, 7.14/10.92

3.4 \(\times\)10.92= 37.128

5.2\(\times\)7.14 = 37.128

It is a true proportional because they are not equal.

8. 1.7/1.2, 2.9/2.4

1.7 \(\times\)2.4 = 4.08

1.2 \(\times\)2.9 = 3.48

It is not a true proportional because they are not equal.

9. 7.6/1.8, 3.9/0.9

7.6 \(\times\)0.9 = 6.84

1.8 \(\times\)3.9= 7.02

It is not a true proportional because they are not equal.

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SOLUTION:

Step 1:

In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:

From the graph, we can see that:

Step 2:

We need to dilate about the origin by a scale factor of 1/3, then

we have that:

Step 3 :

We need to reflect across the y-axis:

( x , y ) ------- ( -x, y )

From the graph,

a) The original polygon is in colour Red

b) The dilated image of the original polygon is in colour Blue

c) The reflection of the dilated image is in colour Green.

Answer:

Yes because, we'll technically but then we get yur answer

Answer:

-6(.34) - 4(.13) - 2(.06) + 0(.13) + 2(.34) = -2

The expected value of the winnings is -$2

(a loss of $2).

The remaining distance Jada has to bike is 19/10 km.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Jada biked for 3.5 kilometers before stopping to adjust the helmet.

d₁ = 3/5 kilometer

Jada bikes another 1/2 kilometer and stopped to drink water.

d₂ = 1/2 kilometer

The total distance Jada has to bike is 3 kilometers.

The distance traveled by Jada is:

= d₁ + d₂

= 3/5 km + 1/2 km

Using LCM,

= ( 6 + 5 ) / 10

= 11/10 km

The distance remaining to cover is :

- 3 km - 11/10 km

= ( 30 - 11 ) / 10 km

= 19/10 km

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Answer:

Step-by-step explanation:

Measure all three aspects--the length, width and height--of an object to get a three-dimensional measurement.

D = 437FT × 4 FEET

multiply the values in order to get the dimension

Given: £90 is divided among Aahil, James and Merav in the ratio 1:3:5.

To find: How much Merav gets.

Answer:

Let's assume the shares of each to be 'x'.

This implies that 1x + 3x + 5x = 90.

9x = 90

x = 90/9

x = 10

Substituting this value of x in the ratio,

Therefore, Merav gets £50.

Hope it helps. :)

Answer:

36

Step-by-step explanation:

Let the required number be x.

\( \frac{1}{3} \: of \: x = \frac{1}{3}x = \frac{x}{3} \\ \\ \frac{1}{4} \: of \: x = \frac{1}{4}x = \frac{x}{4} \\ \\ according \: to \: the \: given \: condition \\ \\ \frac{x}{3} - \frac{x}{4} = 3 \\ \\ \frac{4x - 3x}{3 \times 4} = 3 \\ \\ \frac{x}{12} = 3 \\ \\ x = 12 \times 3 \\ \\ \huge \red{ \boxed{ x = 36}}\)

The number is 36.

Given that,

Based on the above information, the calculation is as follows:

\(\frac{x}{3} - \frac{x}4} = 3 \\\\\frac{4x - 3x}{12} = 3\\\\x = 36\)

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