A minor league baseball team plays 94 games in a season. if the team won 16 more than twice as many games as they lost, how many wins and losses did the team have?

Answer:

15.8 is the mean

30.2 is the median

Step-by-step explanation:

Find the mean of the data set. If necesary, round to the nearest tenth.

18, 14, 8, 22, 25, 8

Answer: 15.8

Find the median of the data set.

3, 35, 23, 37, 45, 5, 49, 27, 48

Answer: 35

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

The given function is \($f(x) = \frac{1}{x\ln^2 x}$\), which is continuous on the interval \($[e,e+1]$\). We need to calculate the exact integral of \($f(x)$\) on the given interval.

The integral of \($f(x)$\) is given by:\($$\int_e^{e+1} \frac{1}{x\ln^2 x}dx$$\)

We can use substitution method to evaluate the above integral.

Let \($u\)= \(\ln x$\). Then, \($du = \frac{1}{x} dx$\) and the integral becomes:

\($$\int_e^{e+1} \frac{1}{x\ln^2 x}dx = \int_1^2 \frac{1}{u^2}\)

\(du = -\frac{1}{u}\Bigg\rvert_1^2 = -\frac{1}{\ln 2} + \frac{1}{\ln 1}$$$$= \boxed{\frac{1}{\ln 2}}$$\)

Hence, the exact value of the integral of the given function on the interval \($[e,e+1]$\) is \($\frac{1}{\ln 2}$\),

which is approximately equal to \($1.4427$\)(rounded to four decimal places).

To know more about continuous visit:

https://brainly.com/question/31523914

#SPJ11

Answer:

Step-by-step explanation:

It’s A

The triangles EFG and HJK are congruent as all three sides of triangle EFG are given equal to the three sides of triangle HJK.

The postulate applied here is Side-Side-Side (SSS) postulate.

Thus, we can select option A. Congruent - SSS.

Two triangles are congruent when their shape is identical and their size is equal, that is, the three sides are equal and the three angles are also equal.

Congruency in triangles can be proven by the following postulates:

In the question, we are asked if EFG - HJK (EFG is congruent to HJK), when we are given that:

EF = HJ

EG = HK

FG = JK.

And if they are congruent, by which postulate it is so.

The triangles EFG and HJK are congruent as all three sides of triangle EFG are given equal to the three sides of triangle HJK.

The postulate applied here is Side-Side-Side (SSS) postulate.

Thus, we can select option A. Congruent - SSS.

Learn more about congruency in triangles at

https://brainly.com/question/2102943

#SPJ2

The total amount of money in the purse was approximately 23 ducats. A man finds a purse with an unknown number of ducats in it. After he spends 1/4, 1/5, and 1/6 of the amount, 9 ducats remain. To find the initial amount in the purse, let's represent it as "x".

He spent (1/4)x, (1/5)x, and (1/6)x. The sum of these fractions plus the remaining 9 ducats equals the total amount:

(1/4)x + (1/5)x + (1/6)x + 9 = x

To solve this equation, first find a common denominator for the fractions, which is 60. Rewrite the equation with the common denominator:

(15/60)x + (12/60)x + (10/60)x + 9 = x

Combine the fractions:

(37/60)x + 9 = x

Now, isolate x on one side of the equation:

9 = (23/60)x

To find x, divide both sides by (23/60):

x = 9 / (23/60)

x = 9 * (60/23)

x = 540/23

Since x represents the number of ducats, it should be a whole number. So, we round it to the nearest whole number:

x ≈ 23

Therefore, there were approximately 23 ducats in the purse initially.

Learn more about ducats here:

https://brainly.com/question/17217390

#SPJ11

Answer:

x=-35/6

Step-by-step explanation:

2 + 3( 4x + 5) = -53

subtract 2 from both sides= 3(4x+5)=-55

divide both sides by 3 = 4x+5=-55/3

subtract both sides by 5 = 4x=-70/3

divide both sides by 4 = x=-35/6

x=-35/6 is your final answer

Answer:

Hope this helps :)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=−35/6

Decimal Form:

x=−5.8¯3 (Repeating)

Mixed Number Form:

x=−5 5/6

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

To learn more about Polynomial please visit:

https://brainly.com/question/15702527

#SPJ4

The equations represents regular prices and sale prices of items in the store during the sale are

A) regular price: $29.99, sale price: $24.59

B) regular price: $55.43, sale price: $45.45

D) regular price: $652.30, sale price: $534.89

E) regular price: $849.50, sale price: $679.60

What means percent off?

A product's price is decreased by the percentage indicated by a product's percentage off.

We have,

A regular price: $29.99, sale price: $24.59

B regular price: $55.43, sale price: $45.45

C regular price: $215.33, sale price: $172.26

D regular price: $652.30, sale price: $534.89

E regular price: $849.50, sale price: $679.60

Hence, by calculating discount & subtracting it from original prince we get sale price.

Discount = Original Price x Discount %/100

Final Price = Original Price - Discount

A)

Discount = 29.99 × 18/100

Discount = 29.99 x 0.18 = $5.40

Final Price = 29.99 - 5.3982 = $24.59

B)

Discount = 55.43 × 18/100

Discount = 55.43 x 0.18 = $9.98

Final Price = 55.43 - 9.9774 = $45.45

C)

Discount = 215.33 × 18/100

Discount = 215.33 x 0.18 = $38.76

Final Price = 215.33 - 38.7594 = $176.57

D)

Discount = 652.3 × 18/100

Discount = 652.3 x 0.18 = $117.41

Final Price = 652.3 - 117.414 = $534.89

E)

Discount = 849.5 × 18/100

Discount = 849.5 x 0.18 = $152.91

Final Price = 849.5 - 152.91 = $696.59

Hence by comparing the original price with the final price we can identify the equation represents regular prices and sale prices of items in the store during the sale are

A) regular price: $29.99, sale price: $24.59

B) regular price: $55.43, sale price: $45.45

D) regular price: $652.30, sale price: $534.89

E) regular price: $849.50, sale price: $679.60

To learn more about the percent off visit,

https://brainly.com/question/1453984

#SPJ9

The probability that at least one bike out of 7 randomly selected cases of stolen bicycles is recovered is approximately 0.918.

To find this probability, we can use the complement rule. First, we need to determine the probability that none of the 7 bikes is recovered. Given that the probability of one bike being recovered is 0.3, the probability of one bike not being recovered is 0.7. Using this, we can calculate the probability of none of the 7 bikes being recovered as follows:

P(none recovered) = P(not recovered) x P(not recovered) x ... (7 times)

P(none recovered) = 0.7 x 0.7 x ... (7 times)

P(none recovered) = 0.7^7

P(none recovered) = 0.082

Next, we can use the complement rule to find the probability that at least one bike out of the 7 is recovered:

P(at least one recovered) = 1 - P(none recovered)

P(at least one recovered) = 1 - 0.082

P(at least one recovered) = 0.918

Therefore, the probability that at least one bike out of 7 randomly selected cases of stolen bicycles is recovered is approximately 0.918, which is closest to option B (0.918).

To know more about the complement rule, refer here:

https://brainly.com/question/29146128#

https://brainly.com/question/30899429#

#SPJ11

Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

Chris can only buy a maximum of 5 DVDs.

What is a division?

The division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. It is represented by the symbol "/" or "÷".

To determine how many DVDs Chris can buy, we need to subtract the cost of shipping from the total amount of money Chris has available and then divide the remaining amount by the cost of each DVD.

First, we subtract the cost of shipping from the total amount of money Chris has available:

$100 - $9.99 = $90.01

Then, we divide the remaining amount by the cost of each DVD:

$90.01 / $15.99 = 5.63

Chris can buy 5 DVDs.

Hence, Chris can only buy a maximum of 5 DVDs.

To learn more about the division in mathematics, visit:

https://brainly.com/question/28119824

#SPJ4

The height of the triangle is the distance that is found between the tip of the triangle at the top to the base of the triangle.

A triangle's height is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

The length of a perpendicular segment from the base to the vertex directly across from it determines the height that corresponds to it. The vertex that is not an endpoint of the base is the one on the opposite side.

Read more on triangles here:https://brainly.com/question/17335144

#SPJ1

9514 1404 393

Answer:

  9 cups

Step-by-step explanation:

If x represents the number of cups of dark chocolate needed for 60 candies, the proportion can be ...

  cups/candies = 3/20 = x/60

Multiplying by 60 gives ...

  x = 60(3/20) = 9

You need 9 cups of chocolate for 60 candies.

The solutions to the equation cos(2θ)sin^2(θ) = 0 in the interval [0, 2π) are θ = 1.0122 radians, 5.2708 radians, 3.2695 radians, 7.528 radians

We can use the double-angle identity for cosine to rewrite cos(2θ) as 2cos^2(θ) - 1. Substituting this into the equation, we get:

2cos^2(θ) - 1 · sin^2(θ) = 0

Expanding the left-hand side using the identity sin^2(θ) = 1 - cos^2(θ), we get:

2cos^2(θ) - 1 · (1 - cos^2(θ)) = 0

Simplifying and factoring, we get:

2cos^4(θ) - 2cos^2(θ) + 1 = 0

This is a quadratic equation in cos^2(θ), so we can use the quadratic formula:

cos^2(θ) = [2 ± sqrt(4 - 8)] / 4

cos^2(θ) = [1 ± i]/2

Since cos^2(θ) must be a real number between 0 and 1, we can only take the positive square root:

cos(θ) = sqrt([1 + i]/2)

To find the two solutions in the interval [0, 2π), we need to use the half-angle formula for cosine:

cos(θ/2) = ±sqrt[(1 + cos(θ))/2]

Substituting cos(θ) = sqrt([1 + i]/2), we get:

cos(θ/2) = ±sqrt[(1 + sqrt([1 + i]/2))/2]

We can simplify this expression using the fact that sqrt(i) = (1 + i)/sqrt(2):

cos(θ/2) = ±[(1 + sqrt(1 + i))/2]

Taking the positive and negative square roots gives us two solutions:

cos(θ/2) = (1 + sqrt(1 + i))/2, θ/2 = 0.5061 radians or 2.6354 radians

cos(θ/2) = -(1 + sqrt(1 + i))/2, θ/2 = 1.6347 radians or 3.764 radians

Multiplying each solution by 2 gives us the final solutions in the interval [0, 2π):

θ = 1.0122 radians, 5.2708 radians, 3.2695 radians, 7.528 radians

Therefore, the solutions to the equation cos(2θ)sin^2(θ) = 0 in the interval [0, 2π) are:

θ = 1.0122 radians, 5.2708 radians, 3.2695 radians, 7.528 radians

Learn more about interval here

https://brainly.com/question/479532

#SPJ11

Answer:

2x - 14 = -4

that is the equation simplified

Answer:

4 hours

Step-by-step explanation:

3.6 / .8

The scale factor of 10cm to 5m is 50.

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

For example ,if a length of 5cm is doubled and it gives a length 10cm, the scale factor is 10/5 = 2. This means that we can express scale factor with a formula;

scale factor = new dimension / old dimension

Here, the old dimension is 10cm and the new dimension is 5m. We need to convert the 5m into cm

therefore 5m = 5× 100 = 500cm

therefore scale factor = 500/10 = 50

This means the scale factor of 10cm = 5m is 50

learn more about scale factor from

https://brainly.com/question/25722260

#SPJ1

Answer:

b

Step-by-step explanation:

vertical line through x at one

vertical lines have undefined slopes

can take two points to verify  (1,1)  (1,2)    m= 2-1

                                                                         1-1  

                                                                          1

                                                                          0         undefined zero in denominator

Answer:

3 -14x =17

-14x = 17 - 3

-14x = 14

x = 14/-14 = 1/-1 = -1

∴ answer = -1

hope this answer helps you.....

please mark as brainliest... thank you!

Answer:

15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

5/18 = 0.2777 = 0.27° so when you divided thd no. it is 0.277777 and 7 is repeat .

Answer:

it should be 5

Step-by-step explanation:

-4 to 1 is 5, 1 to 6 is 5 so yea.

                                       ❊❊                  HI                  ❊❊

                                            THE SLOPE WILL BE 5

  ⎧  ⁍ . ⁍ ⎫

  ⎟  >    >⎟

  ⎝          ⎠

        ⎝⎠

Answer:

y + 3 = 2 (x - 4)

Step-by-step explanation:

y - y₁ = m (x - x₁)

substitute (4, -3) in for (x₁, y₁)

y - (-3) = m (x - 4)

substitute the slope (2) in for m (m=slope) and simplify (y - (-3)) to (y +3) because subtracting a negative is the same as adding a positive

y + 3 = 2 (x - 4)

and that's your final answer! hope this helped :)

The general solution for the trigonometric equation given is \(\frac{5\pi }{3} + 2\pi n\), where n is an integer.

Given a trigonometric equation.

We have to find the general solution to the trigonometric equation.

Given trigonometric equation is,

-√3 csc θ = 2

We have to find the general solution to the trigonometric function.

That is, all the values of θ for which the equation holds.

-√3 csc θ = 2

-√3 (1/ sinθ) = 2

-√3 / sinθ = 2

sinθ = -√3 / 2

θ = sin⁻¹ (-√3/2)

  = - sin⁻¹ (√3/2)  [Since sin⁻¹ (-x) = - sin⁻¹ (x)]

We know that,

sin⁻¹ (√3/2) = 60 degrees = π/3

Now, -π/3 is same as 2π - π/3 = 5π/3

And the period of sine function is 2π.

Hence the general solution is,

θ = 5π/3 + 2πn, where n is an integer.

Learn more about Trigonometric Equations here :

https://brainly.com/question/22624805

#SPJ1

Answer:

3n+m+2p

Step-by-step explanation:

group all like terms and solve.

so,

4n-n = 3n

-m + 2m = m

3p - p = 2p

Then, group them together: 3n+m+2p

Therefore, the solutions to the equation x² + 3x = 3 are x = -3/2 + √(21)/2 and x = -3/2 - √(21)/2.

An equation is a mathematical statement that shows the equality of two expressions. It usually consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To complete the square for the expression x² + 3x, we need to add and subtract (3/2)² = 9/4 inside the parentheses, as follows:

x² + 3x = x² + 3x + 9/4 - 9/4

= (x + 3/2)² - 9/4

Now the left-hand side can be written as:

(x + 3/2)² - 9/4 = 3

Adding 9/4 to both sides, we get:

(x + 3/2)² = 3 + 9/4

= 21/4

Taking the square root of both sides, we get:

x + 3/2 = ±√(21)/2

Subtracting 3/2 from both sides, we get the two solutions:

x = -3/2 ± √(21)/2

To know more about equation,

https://brainly.com/question/649785

#SPJ1

Answer:

It's C.

Explanation:

I took a test on this

Ed Moura invests $192000 in certificates of deposit paying 2%.

According to the question,

Ed Moura has $64000 invested in stocks paying 6%.  

He invests additional money in certificates of deposit paying 2% =x  

so the average return on the two investments is 3%.

  64000*6% +2%*x = 3%(64000+x)

Convert percentage to decimal,

⇒64000*0.06 +0.02*x = 0.03(64000+ x)

⇒3840 + 0.02x = 1920 +0 .03x ( using multiply)

⇒3840-1920 = 0.03x - 0.02x

⇒0.03x - 0.02x = 3840 -1920

⇒0.01x = 1920

Both side divide by 0.01,

⇒x = 192000

∴ So, Ed Moura invests $192000 in certificates of deposit paying 2%.

Read more about percentages :

https://brainly.com/question/843074

#SPJ4