Please help. And hurry.

Step-by-step explanation:

Odds against = losses / wins

Probability = wins / (wins + losses)

P = 89 / (89 + 40)

P = 89 / 129

P ≈ 69%

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

I think that it might be 7.87 sorry if i am wrong

Answer:

0+=x^2-3x+18

Step-by-step explanation:

I'm smort- but if its wrong I apologize

ANSWER

(54/j)²

EXPLANATION

We have to translate this verbal phrase into an algebraic expression. An algebraic expression is a combination of variables, numbers, and arithmetic operations. For example, the expression (x² + 2) is an algebraic expression.

In this phrase, we have "the square of ...", so we will have an expression in the form (...)².

Then, the square is of a quotient, between 54 and j, where 54 is the numerator and j is the denominator.

Hence, the algebraic expression is (54/j)².

Answer:

5

Step-by-step explanation:

balls + sports towels = Total

              (3 * 6) + (8x) = 65

                      18 + 8x = 65

                             8x = 47

                              x = 5.875

Cannot buy .875 of a towel so answer has to be rounded down to 5 towels.

Answer:

The Subtotal cost of all the cakes before tax and delivery

Step-by-step explanation:

(21x+8.25y)

21 is the price of 1 large cake and X is the number of cakes they want to purchase not counting tax and delivery fee.

8.25 is the price of 1 small cake and Y is the number of cakes they want to purchase not counting tax and delivery fee.

The slope and y-intercept for the least-squares line of quiz 1 scores and test scores are;

Slope = 0.6

y-intercept = 7.16

The least-squares regression line is a line that fits the data points on a graph by minimizing the vertical distance between the data points to the regression line.

The table of values are presented as follows;

            \({}\)                   Quiz 1 (x) \({}\)           Test (y)

            \({}\)                       15             \({}\)           20

            \({}\)                       12             \({}\)           15

            \({}\)                       10             \({}\)           12

            \({}\)                        14             \({}\)           18

            \({}\)                        10             \({}\)         10

            \({}\)                         8             \({}\)          13

            \({}\)                         6             \({}\)          12

            \({}\)                        15             \({}\)          10

            \({}\)                        16             \({}\)          18

            \({}\)                        13             \({}\)          15

Mean                           11.9             \({}\)          14.3

Standard Deviation     3.3              \({}\)          3.5

The formula for the slope, b, of the least-squares line is presented as follows;

\(\displaystyle b=\frac{\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}{\sum \left(x_i-\bar{x}\right)^2}\)

The values of the terms of the equations obtained by using the spreadsheet application MS Excel are;

\(\displaystyle {\sum \left(x_i-\bar{x}\right)\times \left(y_i-\bar {y}\right)}\) = 59.3

\(\displaystyle {\sum \left(x_i-\bar{x}\right)^2\) = 98.9

Therefore;

\(\displaystyle b=\frac{59.3}{98.9} \approx 0.6\)

The formula for the y-intercept is; c = \(\bar y-b\cdot \bar x\)

Therefore;

c ≈ 14.3 - 0.6 × 11.9 = 7.16

Question options;

The possible question options obtained from a similar online are;

Slope = 0.54

y-intercept = 1.22

Slope = 0.6

y-intercept = 7.16

Slope = 0.54

y-intercept = 1.71

Slope = 0.6

y-intercept = 1.22

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Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

shoe box = 1 cubic foot = 1 * 1 * 1

1 Layer: 6 shoe boxes -> Layer lenght = 6 feet, layer depht = 1 foot

Box height = 4 feet

Box volume = 6*4*1 = 24 feet

Answer:

30.2 aka C

Step-by-step explanation:

The formula for the area of a circle is A = pir^2. Knowing this we can create the equation A = 3.14(3.1)^2. Following PEMDAS square 3.1 to get 9.61. Then you multiply 9.61 with 3.14 to get 30.1754. When you round to the nearest tenth you get 30.2.

Answer:

68°

Step-by-step explanation:

PRQ = SRQ gives:

3x-8 = 2x+6

x = 6+8 = 14

So PRQ = SRQ = 34

and

PRS = PRQ+SRQ = 68

The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.

The formula for finding the nth term in an arithmetic sequence given as:

= a + (n - 1)d

Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:

= (-1)n + 1

= (-1)5 + 1

= (-1)6

= -6

Here is the complete question:

Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.

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The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.

For the stated question.

The volume of the sphere is modeled by the power function with respect to the radius as;

V = f(r) = 4/3πr³

As, r is independent of any of the coordinate axis.

Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.

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The savings account is an illustration of compound interest and the future amount is $860

The given parameters are:

Principal, P = 600

Rate, r = 12%

Time, t = 3

The equation of the future amount is given as:

\(A = Pe^{rt}\)

So, we have:

\(A = 600 * e^{15\% * 3}\)

Evaluate

A = 859.997648736

Approximate

A = 860

Hence, the future amount is $860

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Answer:

y=21-7x

-7 is your slope

21 is your y-intercept

Step-by-step explanation:

you send the 4x the other side and you send the other side opposite so it going to be -4x

-3y= 24-4x

than you divide -3 on 24 and -4x

Answer: choice B

B would be the most logical answer showing that these 2 events are independent.

True. If the limit of f(x) as x approaches a and the limit of f(g(x)) as x approaches a both exist, then the limit of f(x)/g(x) as x approaches a must also exist.

This is because the limit of a function is defined as the value that the function approaches as the input value approaches a certain point. If both the numerator and denominator of a fraction approach a certain value as x approaches a, then the fraction as a whole must also approach a certain value as x approaches a. This is known as the limit of a quotient.

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Answer:

(12,1)

Step-by-step explanation:

Before the transformation, Point B is at (-8,1).

When it will be reflected, it will be at (8,1)

Then, it shifts 4 points to the right, and so it will be at (12,1)

Answer:

8

Step-by-step explanation:

\(\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8} +\frac{3}{8}\)

\(\frac{3}{8}\) × 8

= 3

In algebra:

\(\frac{3}{8}\) × y = 3

y = 3 ÷ \(\frac{3}{8}\)

y = 8

Step-by-step explanation:  

x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0

(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12

Answer:

The center is at (1, 6) and the radius is 1.

Step-by-step explanation:

x^2 + y^2 - 2x - 12y +36 = 0

Convert to standard form:

x^2 - 2x + y^2 - 12y = -36

(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36

(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1

(x - 1)^2 + (y - 6)^2 =  1

The center is at (1, 6) and the radius is 1.

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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Answer:

\(\sqrt{6} -3\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{150} -\sqrt{96} -\sqrt{162} +\sqrt{72}\)

\(=\sqrt{25\cdot6} -\sqrt{16\cdot6} -\sqrt{81\cdot2} +\sqrt{36\cdot2}\)

\(=\sqrt{25}\sqrt{6} -\sqrt{16}\sqrt{6} -\sqrt{81}\sqrt{2} +\sqrt{36}\sqrt{2}\)

\(=5\sqrt{6} -4\sqrt{6} -9\sqrt{2} +6\sqrt{2}\)

\(=\sqrt{6} -3\sqrt{2}\)

Answer:

See below.

Step-by-step explanation:

a) √2 + √50 + √98

= √2 + 5√2 + 7√2

= 13√2

c) 5√7 + 2√5 - 3√28

= 5√7 + 2√5 - 6√7

= 2√5 - √7

e) √150 - √96 - √162 + √72

= 5√6 - 4√6 - 9√2 + 6√2

= √6 - 3√2

g) 7√3 - 2√8 + √12 + 3√8

= 7√3 - 4√2 + 2√3 + 6√2

= 9√3 + 2√2

i) 3√49 + 2√288 - √144 - 2√18

= 21 + 24√2 - 12 - 6√2

= 9 + 18√2

= 9(1+ √2)

Answer:

It's invalid

Step-by-step explanation:

What has been attempted i the question is inductive generalization.

Now, to say July is summer is okay.

But to say if it's not July, it's not summer is drawing a generalization that doesn't necessarily apply because it doesn't take into account other factors which are not stated.

This is because July may not be the only month in the summer. It could just be part of the summer months.

Therefore, it's invalid to claim if it’s not July therefore it’s not summer.

Answer:

When the null hypothesis is rejected

The  conclusion is that there is enough evidence to support the claim of the researcher

When a type I error occurs

The consequences is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

When a type II error occurs  

 The consequences is  that the conclusion that there is enough evidence  to support the claim of the researcher is actually correct        

Step-by-step explanation:

From the question we are told that

The cost of electricity per month is \(\mu = \$104\)

The null hypothesis is \(H_o : \mu = \$104\)

The  alternative hypothesis is   \(H_o :  \mu  >   \$104\)

Generally if the null hypothesis is rejected then the conclusion would be that there is enough evidence to support the claim of the researcher

Generally a Type I error is a an error that occurs when the null hypothesis is incorrectly rejected

So in the case of this question the consequence of making this type of error is that the conclusion that there is enough evidence to support the claim of the researcher is actually incorrect

 Generally a Type II  error is an error that occurs when the null hypothesis is incorrectly not rejected

So in the case of this question the consequence of making this type of  

error is that the conclusion that there is enough evidence to support the claim of the researcher is actually correct

Answer:116.25

Step-by-step explanation:

Answer:

0.045

Step-by-step explanation:

4+2p=10(53p-2)

open the bracket

4+2p=530p-20

collecting like terms we have

4+20=530p-2p

24=528p

24/528=528p/528

p=0.04545

p=0.045

Hope it helps, please rate 5 and love

for more explanation, ask in the comment section

Step-by-step explanation:

p=22.

4+2p=10(53p-2)

4+2p=530p-20

4+20=530p-2p

24=528p

p= 22